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unigram
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fol-02b

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premise stringlengths 17 1.29k	hypothesis stringlengths 17 138	label stringclasses 3 values	proof stringlengths 1 184k	premise_tptp stringlengths 61 1.7k	hypothesis_tptp stringlengths 55 400	deberta_pred stringclasses 3 values	deberta_pred_r1_label stringclasses 3 values	deberta_pred_r2_label stringclasses 3 values
Brenda is the only person in the room. Someone in the room who is not Brenda does not play a musical instrument. Brenda is not brave or is liked by Judy or both. Judy is richer than Brenda. Brenda is a rich tourist and does not enjoy snowboarding. Someone outside the room does not enjoy snowboarding. Someone outside the room who does not enjoy snowboarding is not Brenda. Brenda neither is not a rich tourist nor is not liked by Miguel. Everyone outside the room who does not enjoy snowboarding does not like Judy. It is not the case that 'Brenda is a brave tourist or does not play a musical instrument or both'.	Brenda plays a musical instrument or is a creative person or both.	entailment	% SZS status Unsatisfiable % SZS output start Proof tff(tptp_fun__mary__type, type, ( tptp_fun__mary_: $i)). tff(tptp_fun_X_3_type, type, ( tptp_fun_X_3: $i)). tff(room_type, type, ( room: $i > $o)). tff(person_type, type, ( person: $i > $o)). tff(mary_type, type, ( mary: $i)). tff(creative_type, type, ( creative: $i > $o)). tff(predb_type, type, ( predb: $i > $o)). tff(tourist_type, type, ( tourist: $i > $o)). tff(brave_type, type, ( brave: $i > $o)). tff(like_type, type, ( like: ( $i * $i ) > $o)). tff(susan_type, type, ( susan: $i)). tff(preda_type, type, ( preda: $i > $o)). tff(fred_type, type, ( fred: $i)). tff(rich_type, type, ( rich: $i > $o)). tff(richer_type, type, ( richer: ( $i * $i ) > $o)). tff(1,plain, (predb(mary) <=> predb(mary)), inference(rewrite,[status(thm)],[])). tff(2,plain, ((~(((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & ((((((((?[X: $i] : (room(X) => ((~(X = mary)) => (~predb(X)))) & ((~brave(mary)) \| like(mary, susan))) & richer(mary, susan)) & ((rich(mary) & tourist(mary)) & (~preda(mary)))) & ?[X: $i] : ((~room(X)) => (~preda(X)))) & ?[X: $i] : ((~room(X)) => ((~preda(X)) => (~(X = mary))))) & (~((~(rich(mary) & tourist(mary))) \| (~like(mary, fred))))) & ![X: $i] : ((~room(X)) => ((~preda(X)) => (~like(susan, X))))) & (~((brave(mary) & tourist(mary)) \| (~predb(mary)))))) => ((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & (predb(mary) \| (creative(mary) & person(mary)))))) <=> (~((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & ?[X: $i] : ((~predb(X)) \| (X = mary) \| (~room(X))) & ((~brave(mary)) \| like(mary, susan)) & richer(mary, susan) & rich(mary) & tourist(mary) & (~preda(mary)) & ?[X: $i] : (room(X) \| (~preda(X))) & ?[X: $i] : (room(X) \| (~(X = mary)) \| preda(X)) & (~((~(rich(mary) & tourist(mary))) \| (~like(mary, fred)))) & ![X: $i] : (room(X) \| preda(X) \| (~like(susan, X))) & (~((brave(mary) & tourist(mary)) \| (~predb(mary)))))) \| (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (predb(mary) \| (creative(mary) & person(mary))))))), inference(rewrite,[status(thm)],[])). tff(3,axiom,(~(((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & ((((((((?[X: $i] : (room(X) => ((~(X = mary)) => (~predb(X)))) & ((~brave(mary)) \| like(mary, susan))) & richer(mary, susan)) & ((rich(mary) & tourist(mary)) & (~preda(mary)))) & ?[X: $i] : ((~room(X)) => (~preda(X)))) & ?[X: $i] : ((~room(X)) => ((~preda(X)) => (~(X = mary))))) & (~((~(rich(mary) & tourist(mary))) \| (~like(mary, fred))))) & ![X: $i] : ((~room(X)) => ((~preda(X)) => (~like(susan, X))))) & (~((brave(mary) & tourist(mary)) \| (~predb(mary)))))) => ((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & (predb(mary) \| (creative(mary) & person(mary)))))), file('/mnt/tmpfs//8529789233806433478775429.p','negated')). tff(4,plain, (~((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & ?[X: $i] : ((~predb(X)) \| (X = mary) \| (~room(X))) & ((~brave(mary)) \| like(mary, susan)) & richer(mary, susan) & rich(mary) & tourist(mary) & (~preda(mary)) & ?[X: $i] : (room(X) \| (~preda(X))) & ?[X: $i] : (room(X) \| (~(X = mary)) \| preda(X)) & (~((~(rich(mary) & tourist(mary))) \| (~like(mary, fred)))) & ![X: $i] : (room(X) \| preda(X) \| (~like(susan, X))) & (~((brave(mary) & tourist(mary)) \| (~predb(mary)))))) \| (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (predb(mary) \| (creative(mary) & person(mary)))))), inference(modus_ponens,[status(thm)],[3, 2])). tff(5,plain, (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & ?[X: $i] : ((~predb(X)) \| (X = mary) \| (~room(X))) & ((~brave(mary)) \| like(mary, susan)) & richer(mary, susan) & rich(mary) & tourist(mary) & (~preda(mary)) & ?[X: $i] : (room(X) \| (~preda(X))) & ?[X: $i] : (room(X) \| (~(X = mary)) \| preda(X)) & (~((~(rich(mary) & tourist(mary))) \| (~like(mary, fred)))) & ![X: $i] : (room(X) \| preda(X) \| (~like(susan, X))) & (~((brave(mary) & tourist(mary)) \| (~predb(mary))))), inference(or_elim,[status(thm)],[4])). tff(6,plain, (~((brave(mary) & tourist(mary)) \| (~predb(mary)))), inference(and_elim,[status(thm)],[5])). tff(7,plain, (predb(mary)), inference(or_elim,[status(thm)],[6])). tff(8,plain, (predb(mary)), inference(modus_ponens,[status(thm)],[7, 1])). tff(9,plain, ((predb(mary) \| (~((~creative(mary)) \| (~person(mary))))) \| (~predb(mary))), inference(tautology,[status(thm)],[])). tff(10,plain, (predb(mary) \| (~((~creative(mary)) \| (~person(mary))))), inference(unit_resolution,[status(thm)],[9, 8])). tff(11,plain, (room(mary) <=> room(mary)), inference(rewrite,[status(thm)],[])). tff(12,plain, (room(mary)), inference(and_elim,[status(thm)],[5])). tff(13,plain, (room(mary)), inference(modus_ponens,[status(thm)],[12, 11])). tff(14,plain, (((~room(mary)) \| (~((~room(X!3)) \| (X!3 = \|'mary'\|))) \| (~(predb(mary) \| (creative(mary) & person(mary))))) <=> ((~room(mary)) \| (~((~room(X!3)) \| (X!3 = \|'mary'\|))) \| (~(predb(mary) \| (~((~creative(mary)) \| (~person(mary)))))))), inference(rewrite,[status(thm)],[])). tff(15,plain, (((~room(mary)) \| (~((~room(X!3)) \| (X!3 = \|'mary'\|))) \| (~(predb(mary) \| (creative(mary) & person(mary))))) <=> ((~room(mary)) \| (~((~room(X!3)) \| (X!3 = \|'mary'\|))) \| (~(predb(mary) \| (creative(mary) & person(mary)))))), inference(rewrite,[status(thm)],[])). tff(16,plain, ((room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (predb(mary) \| (creative(mary) & person(mary)))) <=> (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (predb(mary) \| (creative(mary) & person(mary))))), inference(rewrite,[status(thm)],[])). tff(17,plain, ((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (predb(mary) \| (creative(mary) & person(mary))))) <=> (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (predb(mary) \| (creative(mary) & person(mary)))))), inference(monotonicity,[status(thm)],[16])). tff(18,plain, ((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (predb(mary) \| (creative(mary) & person(mary))))) <=> (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (predb(mary) \| (creative(mary) & person(mary)))))), inference(rewrite,[status(thm)],[])). tff(19,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (predb(mary) \| (creative(mary) & person(mary))))), inference(or_elim,[status(thm)],[4])). tff(20,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (predb(mary) \| (creative(mary) & person(mary))))), inference(modus_ponens,[status(thm)],[19, 17])). tff(21,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (predb(mary) \| (creative(mary) & person(mary))))), inference(modus_ponens,[status(thm)],[20, 18])). tff(22,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (predb(mary) \| (creative(mary) & person(mary))))), inference(modus_ponens,[status(thm)],[21, 17])). unexpected number of arguments: (let ((a!1 (refl (~ (not (room mary)) (not (room mary))))) (a!2 (forall ((X $i)) (or (not (room X)) (= X \|'mary'\|)))) (a!3 (not (or (not (room X!3)) (= X!3 \|'mary'\|)))) (a!4 (not (or (predb mary) (and (creative mary) (person mary)))))) (let ((a!5 (and (room mary) a!2 (or (predb mary) (and (creative mary) (person mary)))))) (let ((a!6 (~ (not a!5) (or (not (room mary)) a!3 a!4)))) (nnf-neg a!1 (sk (~ (not a!2) a!3)) (refl (~ a!4 a!4)) a!6))))	room(brenda)&(![X]:(room(X)=>(X='brenda')))& ((?[X]:(room(X)=>(((X!=brenda)=>(does_not_play_a_musical_instrument(X))))))& (((~brave(brenda))\|(like(brenda,judy))))& (richer(brenda,judy))& ((rich(brenda)&tourist(brenda))&(does_not_enjoy_snowboarding(brenda)))& (?[X]:(~room(X)=>(does_not_enjoy_snowboarding(X))))& (?[X]:(~room(X)=>(((does_not_enjoy_snowboarding(X))=>(X!=brenda)))))& (~((~(rich(brenda)&tourist(brenda)))\|(~like(brenda,miguel))))& (![X]:(~room(X)=>(((does_not_enjoy_snowboarding(X))=>(~like(judy,X))))))& (~(((brave(brenda)&tourist(brenda))\|(does_not_play_a_musical_instrument(brenda))))))	room(brenda)&(![X]:(room(X)=>(X='brenda')))& (((plays_a_musical_instrument(brenda))\|(creative(brenda)&person(brenda))))	entailment	neutral	entailment
Sheila, Jason, Patrick, Misty are the only persons in the room. Kim is taller than Patrick. Someone outside the room who is a rich happy tourist is not quiet, not rich, not tall, not happy. Sheila who is a sibling of Kim, likes James. Sheila and Misty are respectively brave and rich. James is a sibling of Jason. Jason who is a brave rich person, is not liked by Kim. Everyone outside the room who is not a happy brave tourist is not a happy tall person. Only one person outside the room is not a happy tall brave quiet tourist. Someone who is not rich like someone who likes Kim.	Jason is a sibling of James and is a tall rich person.	entailment	% SZS status Unsatisfiable % SZS output start Proof tff(tptp_fun__fred__type, type, ( tptp_fun__fred_: $i)). tff(tptp_fun_X_4_type, type, ( tptp_fun_X_4: $i)). tff(room_type, type, ( room: $i > $o)). tff(tptp_fun__mary__type, type, ( tptp_fun__mary_: $i)). tff(tptp_fun__paul__type, type, ( tptp_fun__paul_: $i)). tff(tptp_fun__alice__type, type, ( tptp_fun__alice_: $i)). tff(tall_type, type, ( tall: $i > $o)). tff(paul_type, type, ( paul: $i)). tff(tourist_type, type, ( tourist: $i > $o)). tff(tptp_fun_X_1_type, type, ( tptp_fun_X_1: $i)). tff(quiet_type, type, ( quiet: $i > $o)). tff(brave_type, type, ( brave: $i > $o)). tff(happy_type, type, ( happy: $i > $o)). tff(like_type, type, ( like: ( $i * $i ) > $o)). tff(john_type, type, ( john: $i)). tff(rich_type, type, ( rich: $i > $o)). tff(person_type, type, ( person: $i > $o)). tff(sibling_type, type, ( sibling: ( $i * $i ) > $o)). tff(susan_type, type, ( susan: $i)). tff(alice_type, type, ( alice: $i)). tff(mary_type, type, ( mary: $i)). tff(taller_type, type, ( taller: ( $i * $i ) > $o)). tff(fred_type, type, ( fred: $i)). tff(lucy_type, type, ( lucy: $i)). tff(1,assumption,(~tall(paul)), introduced(assumption)). tff(2,plain, (((~tall(paul)) \| (~brave(paul)) \| (~happy(paul)) \| (~tourist(paul)) \| (~quiet(paul))) \| tall(paul)), inference(tautology,[status(thm)],[])). tff(3,plain, ((~tall(paul)) \| (~brave(paul)) \| (~happy(paul)) \| (~tourist(paul)) \| (~quiet(paul))), inference(unit_resolution,[status(thm)],[2, 1])). tff(4,assumption,((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1))), introduced(assumption)). tff(5,assumption,(paul = X!1), introduced(assumption)). tff(6,plain, (room(paul) <=> room(X!1)), inference(monotonicity,[status(thm)],[5])). tff(7,plain, (room(X!1) <=> room(paul)), inference(symmetry,[status(thm)],[6])). tff(8,plain, ((~room(X!1)) <=> (~room(paul))), inference(monotonicity,[status(thm)],[7])). tff(9,plain, (?[X: $i] : ((~room(X)) & (~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X)))) <=> ?[X: $i] : ((~room(X)) & (~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))))), inference(rewrite,[status(thm)],[])). tff(10,plain, ((~((((((room(mary) & room(paul)) & room(fred)) & room(alice)) & ![X: $i] : (room(X) => ((((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)) \| (X = \|'alice'\|)))) & ((((((((taller(fred, john) & ?[X: $i] : ((~room(X)) => (((rich(X) & happy(X)) & tourist(X)) => ((((~quiet(X)) & (~rich(X))) & (~tall(X))) & (~happy(X)))))) & (sibling(john, mary) & like(susan, mary))) & (brave(mary) & rich(alice))) & sibling(paul, susan)) & (((brave(paul) & rich(paul)) & person(paul)) & (~like(paul, john)))) & ![X: $i] : ((~room(X)) => ((~((happy(X) & brave(X)) & tourist(X))) => (~((happy(X) & tall(X)) & person(X)))))) & (?[X: $i] : ((~room(X)) & (~((((happy(X) & tall(X)) & brave(X)) & quiet(X)) & tourist(X)))) & ![X: $i, Y: $i] : (((~((((happy(X) & tall(X)) & brave(X)) & quiet(X)) & tourist(X))) & (~((((happy(Y) & tall(Y)) & brave(Y)) & quiet(Y)) & tourist(Y)))) => (X = Y)))) & ?[X: $i, Y: $i] : (((~rich(X)) & like(john, Y)) & like(X, Y)))) => (((((room(mary) & room(paul)) & room(fred)) & room(alice)) & ![X: $i] : (room(X) => ((((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)) \| (X = \|'alice'\|)))) & (sibling(susan, paul) & ((tall(paul) & rich(paul)) & person(paul)))))) <=> (~((~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & taller(fred, john) & ?[X: $i] : (room(X) \| ((~quiet(X)) & (~rich(X)) & (~tall(X)) & (~happy(X))) \| (~(rich(X) & happy(X) & tourist(X)))) & sibling(john, mary) & like(susan, mary) & brave(mary) & rich(alice) & sibling(paul, susan) & brave(paul) & rich(paul) & person(paul) & (~like(paul, john)) & ![X: $i] : (room(X) \| (happy(X) & brave(X) & tourist(X)) \| (~(happy(X) & tall(X) & person(X)))) & ?[X: $i] : ((~room(X)) & (~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X)))) & ![X: $i, Y: $i] : ((~((~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))) & (~(happy(Y) & tall(Y) & brave(Y) & quiet(Y) & tourist(Y))))) \| (X = Y)) & ?[X: $i, Y: $i] : ((~rich(X)) & like(john, Y) & like(X, Y)))) \| (room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & sibling(susan, paul) & tall(paul) & rich(paul) & person(paul))))), inference(rewrite,[status(thm)],[])). tff(11,axiom,(~((((((room(mary) & room(paul)) & room(fred)) & room(alice)) & ![X: $i] : (room(X) => ((((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)) \| (X = \|'alice'\|)))) & ((((((((taller(fred, john) & ?[X: $i] : ((~room(X)) => (((rich(X) & happy(X)) & tourist(X)) => ((((~quiet(X)) & (~rich(X))) & (~tall(X))) & (~happy(X)))))) & (sibling(john, mary) & like(susan, mary))) & (brave(mary) & rich(alice))) & sibling(paul, susan)) & (((brave(paul) & rich(paul)) & person(paul)) & (~like(paul, john)))) & ![X: $i] : ((~room(X)) => ((~((happy(X) & brave(X)) & tourist(X))) => (~((happy(X) & tall(X)) & person(X)))))) & (?[X: $i] : ((~room(X)) & (~((((happy(X) & tall(X)) & brave(X)) & quiet(X)) & tourist(X)))) & ![X: $i, Y: $i] : (((~((((happy(X) & tall(X)) & brave(X)) & quiet(X)) & tourist(X))) & (~((((happy(Y) & tall(Y)) & brave(Y)) & quiet(Y)) & tourist(Y)))) => (X = Y)))) & ?[X: $i, Y: $i] : (((~rich(X)) & like(john, Y)) & like(X, Y)))) => (((((room(mary) & room(paul)) & room(fred)) & room(alice)) & ![X: $i] : (room(X) => ((((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)) \| (X = \|'alice'\|)))) & (sibling(susan, paul) & ((tall(paul) & rich(paul)) & person(paul)))))), file('/mnt/tmpfs//5485706487440520928877307.p','negated')). tff(12,plain, (~((~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & taller(fred, john) & ?[X: $i] : (room(X) \| ((~quiet(X)) & (~rich(X)) & (~tall(X)) & (~happy(X))) \| (~(rich(X) & happy(X) & tourist(X)))) & sibling(john, mary) & like(susan, mary) & brave(mary) & rich(alice) & sibling(paul, susan) & brave(paul) & rich(paul) & person(paul) & (~like(paul, john)) & ![X: $i] : (room(X) \| (happy(X) & brave(X) & tourist(X)) \| (~(happy(X) & tall(X) & person(X)))) & ?[X: $i] : ((~room(X)) & (~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X)))) & ![X: $i, Y: $i] : ((~((~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))) & (~(happy(Y) & tall(Y) & brave(Y) & quiet(Y) & tourist(Y))))) \| (X = Y)) & ?[X: $i, Y: $i] : ((~rich(X)) & like(john, Y) & like(X, Y)))) \| (room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & sibling(susan, paul) & tall(paul) & rich(paul) & person(paul)))), inference(modus_ponens,[status(thm)],[11, 10])). tff(13,plain, (room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & taller(fred, john) & ?[X: $i] : (room(X) \| ((~quiet(X)) & (~rich(X)) & (~tall(X)) & (~happy(X))) \| (~(rich(X) & happy(X) & tourist(X)))) & sibling(john, mary) & like(susan, mary) & brave(mary) & rich(alice) & sibling(paul, susan) & brave(paul) & rich(paul) & person(paul) & (~like(paul, john)) & ![X: $i] : (room(X) \| (happy(X) & brave(X) & tourist(X)) \| (~(happy(X) & tall(X) & person(X)))) & ?[X: $i] : ((~room(X)) & (~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X)))) & ![X: $i, Y: $i] : ((~((~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))) & (~(happy(Y) & tall(Y) & brave(Y) & quiet(Y) & tourist(Y))))) \| (X = Y)) & ?[X: $i, Y: $i] : ((~rich(X)) & like(john, Y) & like(X, Y))), inference(or_elim,[status(thm)],[12])). tff(14,plain, (?[X: $i] : ((~room(X)) & (~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))))), inference(and_elim,[status(thm)],[13])). tff(15,plain, (?[X: $i] : ((~room(X)) & (~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))))), inference(modus_ponens,[status(thm)],[14, 9])). tff(16,plain,( (~room(X!1)) & (~(happy(X!1) & tall(X!1) & brave(X!1) & quiet(X!1) & tourist(X!1)))), inference(skolemize,[status(sab)],[15])). tff(17,plain, (~room(X!1)), inference(and_elim,[status(thm)],[16])). tff(18,plain, (~room(paul)), inference(modus_ponens,[status(thm)],[17, 8])). tff(19,plain, (room(paul) <=> room(paul)), inference(rewrite,[status(thm)],[])). tff(20,plain, (room(paul)), inference(and_elim,[status(thm)],[13])). tff(21,plain, (room(paul)), inference(modus_ponens,[status(thm)],[20, 19])). tff(22,plain, ($false), inference(unit_resolution,[status(thm)],[21, 18])). tff(23,plain,(~(paul = X!1)), inference(lemma,lemma(discharge,[]))). tff(24,plain, (^[X: $i, Y: $i] : refl(((X = Y) \| (~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y))))) <=> ((X = Y) \| (~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y))))))), inference(bind,[status(th)],[])). tff(25,plain, (![X: $i, Y: $i] : ((X = Y) \| (~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y))))) <=> ![X: $i, Y: $i] : ((X = Y) \| (~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))))), inference(quant_intro,[status(thm)],[24])). tff(26,plain, (^[X: $i, Y: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X)) <=> (~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X))))), ((~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))) <=> (~(~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X))))))), rewrite((~(~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X))))) <=> ((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))), ((~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))) <=> ((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X))))), trans(monotonicity(rewrite((happy(Y) & tall(Y) & brave(Y) & quiet(Y) & tourist(Y)) <=> (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y))))), ((~(happy(Y) & tall(Y) & brave(Y) & quiet(Y) & tourist(Y))) <=> (~(~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y))))))), rewrite((~(~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y))))) <=> ((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))), ((~(happy(Y) & tall(Y) & brave(Y) & quiet(Y) & tourist(Y))) <=> ((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y))))), (((~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))) & (~(happy(Y) & tall(Y) & brave(Y) & quiet(Y) & tourist(Y)))) <=> (((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X))) & ((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))))), rewrite((((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X))) & ((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))) <=> (~((~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y))))))), (((~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))) & (~(happy(Y) & tall(Y) & brave(Y) & quiet(Y) & tourist(Y)))) <=> (~((~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))))))), ((~((~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))) & (~(happy(Y) & tall(Y) & brave(Y) & quiet(Y) & tourist(Y))))) <=> (~(~((~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y))))))))), rewrite((~(~((~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y))))))) <=> ((~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))))), ((~((~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))) & (~(happy(Y) & tall(Y) & brave(Y) & quiet(Y) & tourist(Y))))) <=> ((~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y))))))), (((~((~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))) & (~(happy(Y) & tall(Y) & brave(Y) & quiet(Y) & tourist(Y))))) \| (X = Y)) <=> (((~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y))))) \| (X = Y)))), rewrite((((~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y))))) \| (X = Y)) <=> ((X = Y) \| (~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))))), (((~((~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))) & (~(happy(Y) & tall(Y) & brave(Y) & quiet(Y) & tourist(Y))))) \| (X = Y)) <=> ((X = Y) \| (~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))))))), inference(bind,[status(th)],[])). tff(27,plain, (![X: $i, Y: $i] : ((~((~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))) & (~(happy(Y) & tall(Y) & brave(Y) & quiet(Y) & tourist(Y))))) \| (X = Y)) <=> ![X: $i, Y: $i] : ((X = Y) \| (~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))))), inference(quant_intro,[status(thm)],[26])). tff(28,plain, (![X: $i, Y: $i] : ((~((~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))) & (~(happy(Y) & tall(Y) & brave(Y) & quiet(Y) & tourist(Y))))) \| (X = Y)) <=> ![X: $i, Y: $i] : ((~((~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))) & (~(happy(Y) & tall(Y) & brave(Y) & quiet(Y) & tourist(Y))))) \| (X = Y))), inference(rewrite,[status(thm)],[])). tff(29,plain, (![X: $i, Y: $i] : ((~((~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))) & (~(happy(Y) & tall(Y) & brave(Y) & quiet(Y) & tourist(Y))))) \| (X = Y))), inference(and_elim,[status(thm)],[13])). tff(30,plain, (![X: $i, Y: $i] : ((~((~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))) & (~(happy(Y) & tall(Y) & brave(Y) & quiet(Y) & tourist(Y))))) \| (X = Y))), inference(modus_ponens,[status(thm)],[29, 28])). tff(31,plain,( ![X: $i, Y: $i] : ((~((~(happy(X) & tall(X) & brave(X) & quiet(X) & tourist(X))) & (~(happy(Y) & tall(Y) & brave(Y) & quiet(Y) & tourist(Y))))) \| (X = Y))), inference(skolemize,[status(sab)],[30])). tff(32,plain, (![X: $i, Y: $i] : ((X = Y) \| (~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))))), inference(modus_ponens,[status(thm)],[31, 27])). tff(33,plain, (![X: $i, Y: $i] : ((X = Y) \| (~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))))), inference(modus_ponens,[status(thm)],[32, 25])). tff(34,plain, (((~![X: $i, Y: $i] : ((X = Y) \| (~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))))) \| ((~((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)))) \| (paul = X!1) \| (~((~tall(paul)) \| (~brave(paul)) \| (~happy(paul)) \| (~tourist(paul)) \| (~quiet(paul)))))) <=> ((~![X: $i, Y: $i] : ((X = Y) \| (~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))))) \| (~((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)))) \| (paul = X!1) \| (~((~tall(paul)) \| (~brave(paul)) \| (~happy(paul)) \| (~tourist(paul)) \| (~quiet(paul)))))), inference(rewrite,[status(thm)],[])). tff(35,plain, (((paul = X!1) \| (~((~tall(paul)) \| (~brave(paul)) \| (~happy(paul)) \| (~tourist(paul)) \| (~quiet(paul)))) \| (~((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1))))) <=> ((~((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)))) \| (paul = X!1) \| (~((~tall(paul)) \| (~brave(paul)) \| (~happy(paul)) \| (~tourist(paul)) \| (~quiet(paul)))))), inference(rewrite,[status(thm)],[])). tff(36,plain, ((~((~happy(X!1)) \| (~tall(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)) \| (~brave(X!1)))) <=> (~((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1))))), inference(rewrite,[status(thm)],[])). tff(37,plain, ((~((~tall(paul)) \| (~quiet(paul)) \| (~happy(paul)) \| (~brave(paul)) \| (~tourist(paul)))) <=> (~((~tall(paul)) \| (~brave(paul)) \| (~happy(paul)) \| (~tourist(paul)) \| (~quiet(paul))))), inference(rewrite,[status(thm)],[])). tff(38,plain, (((paul = X!1) \| (~((~tall(paul)) \| (~quiet(paul)) \| (~happy(paul)) \| (~brave(paul)) \| (~tourist(paul)))) \| (~((~happy(X!1)) \| (~tall(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)) \| (~brave(X!1))))) <=> ((paul = X!1) \| (~((~tall(paul)) \| (~brave(paul)) \| (~happy(paul)) \| (~tourist(paul)) \| (~quiet(paul)))) \| (~((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)))))), inference(monotonicity,[status(thm)],[37, 36])). tff(39,plain, (((paul = X!1) \| (~((~tall(paul)) \| (~quiet(paul)) \| (~happy(paul)) \| (~brave(paul)) \| (~tourist(paul)))) \| (~((~happy(X!1)) \| (~tall(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)) \| (~brave(X!1))))) <=> ((~((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)))) \| (paul = X!1) \| (~((~tall(paul)) \| (~brave(paul)) \| (~happy(paul)) \| (~tourist(paul)) \| (~quiet(paul)))))), inference(transitivity,[status(thm)],[38, 35])). tff(40,plain, (((~![X: $i, Y: $i] : ((X = Y) \| (~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))))) \| ((paul = X!1) \| (~((~tall(paul)) \| (~quiet(paul)) \| (~happy(paul)) \| (~brave(paul)) \| (~tourist(paul)))) \| (~((~happy(X!1)) \| (~tall(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)) \| (~brave(X!1)))))) <=> ((~![X: $i, Y: $i] : ((X = Y) \| (~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))))) \| ((~((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)))) \| (paul = X!1) \| (~((~tall(paul)) \| (~brave(paul)) \| (~happy(paul)) \| (~tourist(paul)) \| (~quiet(paul))))))), inference(monotonicity,[status(thm)],[39])). tff(41,plain, (((~![X: $i, Y: $i] : ((X = Y) \| (~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))))) \| ((paul = X!1) \| (~((~tall(paul)) \| (~quiet(paul)) \| (~happy(paul)) \| (~brave(paul)) \| (~tourist(paul)))) \| (~((~happy(X!1)) \| (~tall(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)) \| (~brave(X!1)))))) <=> ((~![X: $i, Y: $i] : ((X = Y) \| (~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))))) \| (~((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)))) \| (paul = X!1) \| (~((~tall(paul)) \| (~brave(paul)) \| (~happy(paul)) \| (~tourist(paul)) \| (~quiet(paul)))))), inference(transitivity,[status(thm)],[40, 34])). tff(42,plain, ((~![X: $i, Y: $i] : ((X = Y) \| (~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))))) \| ((paul = X!1) \| (~((~tall(paul)) \| (~quiet(paul)) \| (~happy(paul)) \| (~brave(paul)) \| (~tourist(paul)))) \| (~((~happy(X!1)) \| (~tall(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)) \| (~brave(X!1)))))), inference(quant_inst,[status(thm)],[])). tff(43,plain, ((~![X: $i, Y: $i] : ((X = Y) \| (~((~tall(X)) \| (~quiet(X)) \| (~happy(X)) \| (~brave(X)) \| (~tourist(X)))) \| (~((~happy(Y)) \| (~tall(Y)) \| (~quiet(Y)) \| (~tourist(Y)) \| (~brave(Y)))))) \| (~((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)))) \| (paul = X!1) \| (~((~tall(paul)) \| (~brave(paul)) \| (~happy(paul)) \| (~tourist(paul)) \| (~quiet(paul))))), inference(modus_ponens,[status(thm)],[42, 41])). tff(44,plain, ($false), inference(unit_resolution,[status(thm)],[43, 33, 23, 4, 3])). tff(45,plain,((~((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)))) \| tall(paul)), inference(lemma,lemma(discharge,[]))). tff(46,plain, (~((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)))), inference(unit_resolution,[status(thm)],[45, 1])). tff(47,plain, (((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1))) \| tourist(X!1)), inference(tautology,[status(thm)],[])). tff(48,plain, (tourist(X!1)), inference(unit_resolution,[status(thm)],[47, 46])). tff(49,plain, (((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1))) \| quiet(X!1)), inference(tautology,[status(thm)],[])). tff(50,plain, (quiet(X!1)), inference(unit_resolution,[status(thm)],[49, 46])). tff(51,assumption,(~happy(X!1)), introduced(assumption)). tff(52,plain, (((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1))) \| happy(X!1)), inference(tautology,[status(thm)],[])). tff(53,plain, ((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1))), inference(unit_resolution,[status(thm)],[52, 51])). tff(54,plain, ($false), inference(unit_resolution,[status(thm)],[43, 33, 23, 53, 3])). tff(55,plain,(tall(paul) \| happy(X!1)), inference(lemma,lemma(discharge,[]))). tff(56,plain, (happy(X!1)), inference(unit_resolution,[status(thm)],[55, 1])). tff(57,plain, (((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1))) \| tall(X!1)), inference(tautology,[status(thm)],[])). tff(58,plain, (tall(X!1)), inference(unit_resolution,[status(thm)],[57, 46])). tff(59,plain, (((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1))) \| brave(X!1)), inference(tautology,[status(thm)],[])). tff(60,plain, (brave(X!1)), inference(unit_resolution,[status(thm)],[59, 46])). tff(61,plain, ((~(~((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1))))) <=> ((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)))), inference(rewrite,[status(thm)],[])). tff(62,plain, ((happy(X!1) & tall(X!1) & brave(X!1) & quiet(X!1) & tourist(X!1)) <=> (~((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1))))), inference(rewrite,[status(thm)],[])). tff(63,plain, ((~(happy(X!1) & tall(X!1) & brave(X!1) & quiet(X!1) & tourist(X!1))) <=> (~(~((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)))))), inference(monotonicity,[status(thm)],[62])). tff(64,plain, ((~(happy(X!1) & tall(X!1) & brave(X!1) & quiet(X!1) & tourist(X!1))) <=> ((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1)))), inference(transitivity,[status(thm)],[63, 61])). tff(65,plain, (~(happy(X!1) & tall(X!1) & brave(X!1) & quiet(X!1) & tourist(X!1))), inference(and_elim,[status(thm)],[16])). tff(66,plain, ((~happy(X!1)) \| (~tall(X!1)) \| (~brave(X!1)) \| (~quiet(X!1)) \| (~tourist(X!1))), inference(modus_ponens,[status(thm)],[65, 64])). tff(67,plain, ($false), inference(unit_resolution,[status(thm)],[66, 60, 58, 56, 50, 48])). tff(68,plain,(tall(paul)), inference(lemma,lemma(discharge,[]))). tff(69,plain, ((~(paul = susan)) <=> (~(paul = susan))), inference(rewrite,[status(thm)],[])). tff(70,axiom,((((((((((((((((((((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))) & (~(john = mary))) & (~(john = paul))) & (~(john = fred))) & (~(john = alice))) & (~(john = susan))) & (~(john = lucy))) & (~(susan = mary))) & (~(susan = paul))) & (~(susan = fred))) & (~(susan = alice))) & (~(susan = john))) & (~(susan = lucy))) & (~(lucy = mary))) & (~(lucy = paul))) & (~(lucy = fred))) & (~(lucy = alice))) & (~(lucy = john))) & (~(lucy = susan))), file('/mnt/tmpfs//5485706487440520928877307.p','b14')). tff(71,plain, (((((((((((((((((((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))) & (~(john = mary))) & (~(john = paul))) & (~(john = fred))) & (~(john = alice))) & (~(john = susan))) & (~(john = lucy))) & (~(susan = mary))) & (~(susan = paul))) & (~(susan = fred))) & (~(susan = alice))) & (~(susan = john))) & (~(susan = lucy))) & (~(lucy = mary))) & (~(lucy = paul))) & (~(lucy = fred))) & (~(lucy = alice))) & (~(lucy = john))), inference(and_elim,[status(thm)],[70])). tff(72,plain, ((((((((((((((((((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))) & (~(john = mary))) & (~(john = paul))) & (~(john = fred))) & (~(john = alice))) & (~(john = susan))) & (~(john = lucy))) & (~(susan = mary))) & (~(susan = paul))) & (~(susan = fred))) & (~(susan = alice))) & (~(susan = john))) & (~(susan = lucy))) & (~(lucy = mary))) & (~(lucy = paul))) & (~(lucy = fred))) & (~(lucy = alice))), inference(and_elim,[status(thm)],[71])). tff(73,plain, (((((((((((((((((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))) & (~(john = mary))) & (~(john = paul))) & (~(john = fred))) & (~(john = alice))) & (~(john = susan))) & (~(john = lucy))) & (~(susan = mary))) & (~(susan = paul))) & (~(susan = fred))) & (~(susan = alice))) & (~(susan = john))) & (~(susan = lucy))) & (~(lucy = mary))) & (~(lucy = paul))) & (~(lucy = fred))), inference(and_elim,[status(thm)],[72])). tff(74,plain, ((((((((((((((((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))) & (~(john = mary))) & (~(john = paul))) & (~(john = fred))) & (~(john = alice))) & (~(john = susan))) & (~(john = lucy))) & (~(susan = mary))) & (~(susan = paul))) & (~(susan = fred))) & (~(susan = alice))) & (~(susan = john))) & (~(susan = lucy))) & (~(lucy = mary))) & (~(lucy = paul))), inference(and_elim,[status(thm)],[73])). tff(75,plain, (((((((((((((((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))) & (~(john = mary))) & (~(john = paul))) & (~(john = fred))) & (~(john = alice))) & (~(john = susan))) & (~(john = lucy))) & (~(susan = mary))) & (~(susan = paul))) & (~(susan = fred))) & (~(susan = alice))) & (~(susan = john))) & (~(susan = lucy))) & (~(lucy = mary))), inference(and_elim,[status(thm)],[74])). tff(76,plain, ((((((((((((((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))) & (~(john = mary))) & (~(john = paul))) & (~(john = fred))) & (~(john = alice))) & (~(john = susan))) & (~(john = lucy))) & (~(susan = mary))) & (~(susan = paul))) & (~(susan = fred))) & (~(susan = alice))) & (~(susan = john))) & (~(susan = lucy))), inference(and_elim,[status(thm)],[75])). tff(77,plain, (((((((((((((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))) & (~(john = mary))) & (~(john = paul))) & (~(john = fred))) & (~(john = alice))) & (~(john = susan))) & (~(john = lucy))) & (~(susan = mary))) & (~(susan = paul))) & (~(susan = fred))) & (~(susan = alice))) & (~(susan = john))), inference(and_elim,[status(thm)],[76])). tff(78,plain, ((((((((((((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))) & (~(john = mary))) & (~(john = paul))) & (~(john = fred))) & (~(john = alice))) & (~(john = susan))) & (~(john = lucy))) & (~(susan = mary))) & (~(susan = paul))) & (~(susan = fred))) & (~(susan = alice))), inference(and_elim,[status(thm)],[77])). tff(79,plain, (((((((((((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))) & (~(john = mary))) & (~(john = paul))) & (~(john = fred))) & (~(john = alice))) & (~(john = susan))) & (~(john = lucy))) & (~(susan = mary))) & (~(susan = paul))) & (~(susan = fred))), inference(and_elim,[status(thm)],[78])). tff(80,plain, ((((((((((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))) & (~(john = mary))) & (~(john = paul))) & (~(john = fred))) & (~(john = alice))) & (~(john = susan))) & (~(john = lucy))) & (~(susan = mary))) & (~(susan = paul))), inference(and_elim,[status(thm)],[79])). tff(81,plain, (((((((((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))) & (~(john = mary))) & (~(john = paul))) & (~(john = fred))) & (~(john = alice))) & (~(john = susan))) & (~(john = lucy))) & (~(susan = mary))), inference(and_elim,[status(thm)],[80])). tff(82,plain, ((((((((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))) & (~(john = mary))) & (~(john = paul))) & (~(john = fred))) & (~(john = alice))) & (~(john = susan))) & (~(john = lucy))), inference(and_elim,[status(thm)],[81])). tff(83,plain, (((((((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))) & (~(john = mary))) & (~(john = paul))) & (~(john = fred))) & (~(john = alice))) & (~(john = susan))), inference(and_elim,[status(thm)],[82])). tff(84,plain, ((((((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))) & (~(john = mary))) & (~(john = paul))) & (~(john = fred))) & (~(john = alice))), inference(and_elim,[status(thm)],[83])). tff(85,plain, (((((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))) & (~(john = mary))) & (~(john = paul))) & (~(john = fred))), inference(and_elim,[status(thm)],[84])). tff(86,plain, ((((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))) & (~(john = mary))) & (~(john = paul))), inference(and_elim,[status(thm)],[85])). tff(87,plain, (((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))) & (~(john = mary))), inference(and_elim,[status(thm)],[86])). tff(88,plain, ((((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))) & (~(alice = lucy))), inference(and_elim,[status(thm)],[87])). tff(89,plain, (((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))) & (~(alice = susan))), inference(and_elim,[status(thm)],[88])). tff(90,plain, ((((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))) & (~(alice = john))), inference(and_elim,[status(thm)],[89])). tff(91,plain, (((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))) & (~(alice = fred))), inference(and_elim,[status(thm)],[90])). tff(92,plain, ((((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))) & (~(alice = paul))), inference(and_elim,[status(thm)],[91])). tff(93,plain, (((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))) & (~(alice = mary))), inference(and_elim,[status(thm)],[92])). tff(94,plain, ((((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))) & (~(fred = lucy))), inference(and_elim,[status(thm)],[93])). tff(95,plain, (((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))) & (~(fred = susan))), inference(and_elim,[status(thm)],[94])). tff(96,plain, ((((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))) & (~(fred = john))), inference(and_elim,[status(thm)],[95])). tff(97,plain, (((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))) & (~(fred = alice))), inference(and_elim,[status(thm)],[96])). tff(98,plain, ((((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))) & (~(fred = paul))), inference(and_elim,[status(thm)],[97])). tff(99,plain, (((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))) & (~(fred = mary))), inference(and_elim,[status(thm)],[98])). tff(100,plain, ((((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))) & (~(paul = lucy))), inference(and_elim,[status(thm)],[99])). tff(101,plain, (((((((((((~(mary = paul)) & (~(mary = fred))) & (~(mary = alice))) & (~(mary = john))) & (~(mary = susan))) & (~(mary = lucy))) & (~(paul = mary))) & (~(paul = fred))) & (~(paul = alice))) & (~(paul = john))) & (~(paul = susan))), inference(and_elim,[status(thm)],[100])). tff(102,plain, (~(paul = susan)), inference(and_elim,[status(thm)],[101])). tff(103,plain, (~(paul = susan)), inference(modus_ponens,[status(thm)],[102, 69])). tff(104,plain, (^[X: $i, Y: $i] : refl(((X = Y) \| (sibling(X, Y) <=> sibling(Y, X))) <=> ((X = Y) \| (sibling(X, Y) <=> sibling(Y, X))))), inference(bind,[status(th)],[])). tff(105,plain, (![X: $i, Y: $i] : ((X = Y) \| (sibling(X, Y) <=> sibling(Y, X))) <=> ![X: $i, Y: $i] : ((X = Y) \| (sibling(X, Y) <=> sibling(Y, X)))), inference(quant_intro,[status(thm)],[104])). tff(106,plain, (![X: $i, Y: $i] : ((X = Y) \| (sibling(X, Y) <=> sibling(Y, X))) <=> ![X: $i, Y: $i] : ((X = Y) \| (sibling(X, Y) <=> sibling(Y, X)))), inference(rewrite,[status(thm)],[])). tff(107,plain, (^[X: $i, Y: $i] : rewrite(((~(X = Y)) => (sibling(X, Y) <=> sibling(Y, X))) <=> ((X = Y) \| (sibling(X, Y) <=> sibling(Y, X))))), inference(bind,[status(th)],[])). tff(108,plain, (![X: $i, Y: $i] : ((~(X = Y)) => (sibling(X, Y) <=> sibling(Y, X))) <=> ![X: $i, Y: $i] : ((X = Y) \| (sibling(X, Y) <=> sibling(Y, X)))), inference(quant_intro,[status(thm)],[107])). tff(109,axiom,(![X: $i, Y: $i] : ((~(X = Y)) => (sibling(X, Y) <=> sibling(Y, X)))), file('/mnt/tmpfs//5485706487440520928877307.p','b4')). tff(110,plain, (![X: $i, Y: $i] : ((X = Y) \| (sibling(X, Y) <=> sibling(Y, X)))), inference(modus_ponens,[status(thm)],[109, 108])). tff(111,plain, (![X: $i, Y: $i] : ((X = Y) \| (sibling(X, Y) <=> sibling(Y, X)))), inference(modus_ponens,[status(thm)],[110, 106])). tff(112,plain,( ![X: $i, Y: $i] : ((X = Y) \| (sibling(X, Y) <=> sibling(Y, X)))), inference(skolemize,[status(sab)],[111])). tff(113,plain, (![X: $i, Y: $i] : ((X = Y) \| (sibling(X, Y) <=> sibling(Y, X)))), inference(modus_ponens,[status(thm)],[112, 105])). tff(114,plain, (((~![X: $i, Y: $i] : ((X = Y) \| (sibling(X, Y) <=> sibling(Y, X)))) \| ((paul = susan) \| (sibling(paul, susan) <=> sibling(susan, paul)))) <=> ((~![X: $i, Y: $i] : ((X = Y) \| (sibling(X, Y) <=> sibling(Y, X)))) \| (paul = susan) \| (sibling(paul, susan) <=> sibling(susan, paul)))), inference(rewrite,[status(thm)],[])). tff(115,plain, ((~![X: $i, Y: $i] : ((X = Y) \| (sibling(X, Y) <=> sibling(Y, X)))) \| ((paul = susan) \| (sibling(paul, susan) <=> sibling(susan, paul)))), inference(quant_inst,[status(thm)],[])). tff(116,plain, ((~![X: $i, Y: $i] : ((X = Y) \| (sibling(X, Y) <=> sibling(Y, X)))) \| (paul = susan) \| (sibling(paul, susan) <=> sibling(susan, paul))), inference(modus_ponens,[status(thm)],[115, 114])). tff(117,plain, (sibling(paul, susan) <=> sibling(susan, paul)), inference(unit_resolution,[status(thm)],[116, 113, 103])). tff(118,plain, (sibling(paul, susan) <=> sibling(paul, susan)), inference(rewrite,[status(thm)],[])). tff(119,plain, (sibling(paul, susan)), inference(and_elim,[status(thm)],[13])). tff(120,plain, (sibling(paul, susan)), inference(modus_ponens,[status(thm)],[119, 118])). tff(121,plain, ((~(sibling(paul, susan) <=> sibling(susan, paul))) \| (~sibling(paul, susan)) \| sibling(susan, paul)), inference(tautology,[status(thm)],[])). tff(122,plain, ((~(sibling(paul, susan) <=> sibling(susan, paul))) \| sibling(susan, paul)), inference(unit_resolution,[status(thm)],[121, 120])). tff(123,plain, (sibling(susan, paul)), inference(unit_resolution,[status(thm)],[122, 117])). tff(124,plain, (person(paul) <=> person(paul)), inference(rewrite,[status(thm)],[])). tff(125,plain, (person(paul)), inference(and_elim,[status(thm)],[13])). tff(126,plain, (person(paul)), inference(modus_ponens,[status(thm)],[125, 124])). tff(127,plain, (rich(paul) <=> rich(paul)), inference(rewrite,[status(thm)],[])). tff(128,plain, (rich(paul)), inference(and_elim,[status(thm)],[13])). tff(129,plain, (rich(paul)), inference(modus_ponens,[status(thm)],[128, 127])). tff(130,plain, (room(alice) <=> room(alice)), inference(rewrite,[status(thm)],[])). tff(131,plain, (room(alice)), inference(and_elim,[status(thm)],[13])). tff(132,plain, (room(alice)), inference(modus_ponens,[status(thm)],[131, 130])). tff(133,plain, (room(fred) <=> room(fred)), inference(rewrite,[status(thm)],[])). tff(134,plain, (room(fred)), inference(and_elim,[status(thm)],[13])). tff(135,plain, (room(fred)), inference(modus_ponens,[status(thm)],[134, 133])). tff(136,plain, (room(mary) <=> room(mary)), inference(rewrite,[status(thm)],[])). tff(137,plain, (room(mary)), inference(and_elim,[status(thm)],[13])). tff(138,plain, (room(mary)), inference(modus_ponens,[status(thm)],[137, 136])). tff(139,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!4 = \|'alice'\|) \| (X!4 = \|'fred'\|) \| (X!4 = \|'paul'\|) \| (X!4 = \|'mary'\|) \| (~room(X!4)))) \| (~sibling(susan, paul)) \| (~tall(paul)) \| (~rich(paul)) \| (~person(paul))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!4 = \|'alice'\|) \| (X!4 = \|'fred'\|) \| (X!4 = \|'paul'\|) \| (X!4 = \|'mary'\|) \| (~room(X!4)))) \| (~sibling(susan, paul)) \| (~tall(paul)) \| (~rich(paul)) \| (~person(paul)))), inference(rewrite,[status(thm)],[])). tff(140,plain, ((~((X!4 = \|'alice'\|) \| (X!4 = \|'fred'\|) \| (X!4 = \|'paul'\|) \| (X!4 = \|'mary'\|) \| (~room(X!4)))) <=> (~((X!4 = \|'alice'\|) \| (X!4 = \|'fred'\|) \| (X!4 = \|'paul'\|) \| (X!4 = \|'mary'\|) \| (~room(X!4))))), inference(rewrite,[status(thm)],[])). tff(141,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!4 = \|'alice'\|) \| (X!4 = \|'fred'\|) \| (X!4 = \|'paul'\|) \| (X!4 = \|'mary'\|) \| (~room(X!4)))) \| (~sibling(susan, paul)) \| (~tall(paul)) \| (~rich(paul)) \| (~person(paul))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!4 = \|'alice'\|) \| (X!4 = \|'fred'\|) \| (X!4 = \|'paul'\|) \| (X!4 = \|'mary'\|) \| (~room(X!4)))) \| (~sibling(susan, paul)) \| (~tall(paul)) \| (~rich(paul)) \| (~person(paul)))), inference(monotonicity,[status(thm)],[140])). tff(142,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!4 = \|'alice'\|) \| (X!4 = \|'fred'\|) \| (X!4 = \|'paul'\|) \| (X!4 = \|'mary'\|) \| (~room(X!4)))) \| (~sibling(susan, paul)) \| (~tall(paul)) \| (~rich(paul)) \| (~person(paul))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!4 = \|'alice'\|) \| (X!4 = \|'fred'\|) \| (X!4 = \|'paul'\|) \| (X!4 = \|'mary'\|) \| (~room(X!4)))) \| (~sibling(susan, paul)) \| (~tall(paul)) \| (~rich(paul)) \| (~person(paul)))), inference(transitivity,[status(thm)],[141, 139])). tff(143,plain, ((room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & sibling(susan, paul) & tall(paul) & rich(paul) & person(paul)) <=> (room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & sibling(susan, paul) & tall(paul) & rich(paul) & person(paul))), inference(rewrite,[status(thm)],[])). tff(144,plain, ((~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & sibling(susan, paul) & tall(paul) & rich(paul) & person(paul))) <=> (~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & sibling(susan, paul) & tall(paul) & rich(paul) & person(paul)))), inference(monotonicity,[status(thm)],[143])). tff(145,plain, ((~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & sibling(susan, paul) & tall(paul) & rich(paul) & person(paul))) <=> (~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & sibling(susan, paul) & tall(paul) & rich(paul) & person(paul)))), inference(rewrite,[status(thm)],[])). tff(146,plain, (~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & sibling(susan, paul) & tall(paul) & rich(paul) & person(paul))), inference(or_elim,[status(thm)],[12])). tff(147,plain, (~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & sibling(susan, paul) & tall(paul) & rich(paul) & person(paul))), inference(modus_ponens,[status(thm)],[146, 144])). tff(148,plain, (~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & sibling(susan, paul) & tall(paul) & rich(paul) & person(paul))), inference(modus_ponens,[status(thm)],[147, 145])). tff(149,plain, (~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & sibling(susan, paul) & tall(paul) & rich(paul) & person(paul))), inference(modus_ponens,[status(thm)],[148, 144])). unexpected number of arguments: (let ((a!1 (refl (~ (not (room mary)) (not (room mary))))) (a!2 (refl (~ (not (room paul)) (not (room paul))))) (a!3 (refl (~ (not (room fred)) (not (room fred))))) (a!4 (refl (~ (not (room alice)) (not (room alice))))) (a!5 (forall ((X $i)) (or (= X \|'alice'\|) (= X \|'fred'\|) (= X \|'paul'\|) (= X \|'mary'\|) (not (room X))))) (a!6 (not (or (= X!4 \|'alice'\|) (= X!4 \|'fred'\|) (= X!4 \|'paul'\|) (= X!4 \|'mary'\|) (not (room X!4))))) (a!7 (refl (~ (not (sibling susan paul)) (not (sibling susan paul))))) (a!8 (refl (~ (not (tall paul)) (not (tall paul))))) (a!9 (refl (~ (not (rich paul)) (not (rich paul))))) (a!10 (refl (~ (not (person paul)) (not (person paul)))))) (let ((a!11 (~ (not (and (room mary) (room paul) (room fred) (room alice) a!5 (sibling susan paul) (tall paul) (rich paul) (person paul))) (or (not (room mary)) (not (room paul)) (not (room fred)) (not (room alice)) a!6 (not (sibling susan paul)) (not (tall paul)) (not (rich paul)) (not (person paul)))))) (nnf-neg a!1 a!2 a!3 a!4 (sk (~ (not a!5) a!6)) a!7 a!8 a!9 a!10 a!11)))	room(sheila)&room(jason)&room(patrick)&room(misty)&(![X]:(room(X)=>(X='sheila'\|X='jason'\|X='patrick'\|X='misty')))& ((taller(patrick,kim))& (?[X]:(~room(X)=>(((rich(X)&happy(X)&tourist(X))=>(~quiet(X)&~rich(X)&~tall(X)&~happy(X))))))& ((sibling(kim,sheila))&(like(james,sheila)))& ((brave(sheila))&(rich(misty)))& (sibling(jason,james))& ((brave(jason)&rich(jason)&person(jason))&(~like(jason,kim)))& (![X]:(~room(X)=>(((~(happy(X)&brave(X)&tourist(X)))=>(~(happy(X)&tall(X)&person(X)))))))& (((?[X]:(~room(X)&~(happy(X)&tall(X)&brave(X)&quiet(X)&tourist(X))))&(![X,Y]:((~(happy(X)&tall(X)&brave(X)&quiet(X)&tourist(X))&~(happy(Y)&tall(Y)&brave(Y)&quiet(Y)&tourist(Y)))=>(X=Y)))))& (?[X,Y]:((~rich(X))&(like(kim,Y))&(like(X,Y)))))	room(sheila)&room(jason)&room(patrick)&room(misty)&(![X]:(room(X)=>(X='sheila'\|X='jason'\|X='patrick'\|X='misty')))& ((sibling(james,jason))&(tall(jason)&rich(jason)&person(jason)))	contradiction	contradiction	contradiction
Not all of the following are true:. -Wayne is not a creative person and does not hate Max. -Wayne who enjoys salsa dancing, is richer than Max. -Max is quieter than Josephine.	Wayne who is a rich person, is a rich creative quiet person.	neutral	% SZS status Satisfiable	room(josephine)&room(wayne)&(![X]:(room(X)=>(X='josephine'\|X='wayne')))& (~((~(creative(wayne)&person(wayne)))&(~hate(max,wayne))&(enjoys_salsa_dancing(wayne))&(richer(max,wayne))&quieter(josephine,max)))	room(josephine)&room(wayne)&(![X]:(room(X)=>(X='josephine'\|X='wayne')))& ((rich(wayne)&person(wayne))&(rich(wayne)&creative(wayne)&quiet(wayne)&person(wayne)))	contradiction	contradiction	contradiction
Sharon is the only person in the room. Someone outside the room who is not liked by Arnold is a client of Arnold. Only one person outside the room does not read mystery novels. More than one person outside the room does not hate Arnold. Someone who is not creative like someone who hates Tim. Sharon is the least tall in the room. Sharon is not creative and reads mystery novels. Someone who is not Sharon hate someone who is not liked by Tim. Sharon neither is not liked by Arnold nor does not read mystery novels.	Someone who is not a creative tall person is taller than someone who reads mystery novels.	entailment	% SZS status Unsatisfiable % SZS output start Proof tff(taller_type, type, ( taller: ( $i * $i ) > $o)). tff(tptp_fun__mary__type, type, ( tptp_fun__mary_: $i)). tff(mary_type, type, ( mary: $i)). tff(room_type, type, ( room: $i > $o)). tff(predb_type, type, ( predb: $i > $o)). tff(like_type, type, ( like: ( $i * $i ) > $o)). tff(alice_type, type, ( alice: $i)). tff(hate_type, type, ( hate: ( $i * $i ) > $o)). tff(susan_type, type, ( susan: $i)). tff(creative_type, type, ( creative: $i > $o)). tff(client_type, type, ( client: ( $i * $i ) > $o)). tff(person_type, type, ( person: $i > $o)). tff(tall_type, type, ( tall: $i > $o)). tff(tptp_fun_X_8_type, type, ( tptp_fun_X_8: $i)). tff(1,plain, (^[X: $i] : refl(((~room(X)) \| (X = \|'mary'\|)) <=> ((~room(X)) \| (X = \|'mary'\|)))), inference(bind,[status(th)],[])). tff(2,plain, (![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) <=> ![X: $i] : ((~room(X)) \| (X = \|'mary'\|))), inference(quant_intro,[status(thm)],[1])). tff(3,plain, (![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) <=> ![X: $i] : ((~room(X)) \| (X = \|'mary'\|))), inference(rewrite,[status(thm)],[])). tff(4,plain, ((~(((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & (((((((?[X: $i] : ((~room(X)) => ((~like(X, alice)) => client(alice, X))) & (?[X: $i] : ((~room(X)) & (~predb(X))) & ![X: $i, Y: $i] : (((~predb(X)) & (~predb(Y))) => (X = Y)))) & ?[X: $i, Y: $i] : ((((~room(X)) & (~room(Y))) & ((~hate(alice, X)) & (~hate(alice, Y)))) & (~(X = Y)))) & ?[X: $i, Y: $i] : (((~creative(X)) & hate(susan, Y)) & like(X, Y))) & ![X: $i] : taller(mary, X)) & ((~creative(mary)) & predb(mary))) & ?[X: $i, Y: $i] : (((~(X = mary)) & (~like(Y, susan))) & hate(X, Y))) & (~((~like(mary, alice)) \| (~predb(mary)))))) => ((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & ?[X: $i, Y: $i] : (((~((creative(X) & tall(X)) & person(X))) & predb(Y)) & taller(X, Y))))) <=> (~((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & ?[X: $i] : (room(X) \| client(alice, X) \| like(X, alice)) & ?[X: $i] : ((~room(X)) & (~predb(X))) & ![X: $i, Y: $i] : ((~((~predb(X)) & (~predb(Y)))) \| (X = Y)) & ?[X: $i, Y: $i] : ((~room(X)) & (~room(Y)) & (~hate(alice, X)) & (~hate(alice, Y)) & (~(X = Y))) & ?[X: $i, Y: $i] : ((~creative(X)) & hate(susan, Y) & like(X, Y)) & ![X: $i] : taller(mary, X) & (~creative(mary)) & predb(mary) & ?[X: $i, Y: $i] : ((~(X = mary)) & (~like(Y, susan)) & hate(X, Y)) & (~((~like(mary, alice)) \| (~predb(mary)))))) \| (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & ?[X: $i, Y: $i] : ((~(creative(X) & tall(X) & person(X))) & predb(Y) & taller(X, Y)))))), inference(rewrite,[status(thm)],[])). tff(5,axiom,(~(((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & (((((((?[X: $i] : ((~room(X)) => ((~like(X, alice)) => client(alice, X))) & (?[X: $i] : ((~room(X)) & (~predb(X))) & ![X: $i, Y: $i] : (((~predb(X)) & (~predb(Y))) => (X = Y)))) & ?[X: $i, Y: $i] : ((((~room(X)) & (~room(Y))) & ((~hate(alice, X)) & (~hate(alice, Y)))) & (~(X = Y)))) & ?[X: $i, Y: $i] : (((~creative(X)) & hate(susan, Y)) & like(X, Y))) & ![X: $i] : taller(mary, X)) & ((~creative(mary)) & predb(mary))) & ?[X: $i, Y: $i] : (((~(X = mary)) & (~like(Y, susan))) & hate(X, Y))) & (~((~like(mary, alice)) \| (~predb(mary)))))) => ((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & ?[X: $i, Y: $i] : (((~((creative(X) & tall(X)) & person(X))) & predb(Y)) & taller(X, Y))))), file('/mnt/tmpfs//4902125563612423596914779.p','negated')). tff(6,plain, (~((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & ?[X: $i] : (room(X) \| client(alice, X) \| like(X, alice)) & ?[X: $i] : ((~room(X)) & (~predb(X))) & ![X: $i, Y: $i] : ((~((~predb(X)) & (~predb(Y)))) \| (X = Y)) & ?[X: $i, Y: $i] : ((~room(X)) & (~room(Y)) & (~hate(alice, X)) & (~hate(alice, Y)) & (~(X = Y))) & ?[X: $i, Y: $i] : ((~creative(X)) & hate(susan, Y) & like(X, Y)) & ![X: $i] : taller(mary, X) & (~creative(mary)) & predb(mary) & ?[X: $i, Y: $i] : ((~(X = mary)) & (~like(Y, susan)) & hate(X, Y)) & (~((~like(mary, alice)) \| (~predb(mary)))))) \| (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & ?[X: $i, Y: $i] : ((~(creative(X) & tall(X) & person(X))) & predb(Y) & taller(X, Y))))), inference(modus_ponens,[status(thm)],[5, 4])). tff(7,plain, (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & ?[X: $i] : (room(X) \| client(alice, X) \| like(X, alice)) & ?[X: $i] : ((~room(X)) & (~predb(X))) & ![X: $i, Y: $i] : ((~((~predb(X)) & (~predb(Y)))) \| (X = Y)) & ?[X: $i, Y: $i] : ((~room(X)) & (~room(Y)) & (~hate(alice, X)) & (~hate(alice, Y)) & (~(X = Y))) & ?[X: $i, Y: $i] : ((~creative(X)) & hate(susan, Y) & like(X, Y)) & ![X: $i] : taller(mary, X) & (~creative(mary)) & predb(mary) & ?[X: $i, Y: $i] : ((~(X = mary)) & (~like(Y, susan)) & hate(X, Y)) & (~((~like(mary, alice)) \| (~predb(mary))))), inference(or_elim,[status(thm)],[6])). tff(8,plain, (![X: $i] : ((~room(X)) \| (X = \|'mary'\|))), inference(and_elim,[status(thm)],[7])). tff(9,plain, (![X: $i] : ((~room(X)) \| (X = \|'mary'\|))), inference(modus_ponens,[status(thm)],[8, 3])). tff(10,plain,( ![X: $i] : ((~room(X)) \| (X = \|'mary'\|))), inference(skolemize,[status(sab)],[9])). tff(11,plain, (![X: $i] : ((~room(X)) \| (X = \|'mary'\|))), inference(modus_ponens,[status(thm)],[10, 2])). tff(12,plain, (room(mary) <=> room(mary)), inference(rewrite,[status(thm)],[])). tff(13,plain, (room(mary)), inference(and_elim,[status(thm)],[7])). tff(14,plain, (room(mary)), inference(modus_ponens,[status(thm)],[13, 12])). tff(15,plain, (((~![X: $i] : ((~room(X)) \| (X = \|'mary'\|))) \| ((~room(mary)) \| (mary = \|'mary'\|))) <=> ((~![X: $i] : ((~room(X)) \| (X = \|'mary'\|))) \| (~room(mary)) \| (mary = \|'mary'\|))), inference(rewrite,[status(thm)],[])). tff(16,plain, ((~![X: $i] : ((~room(X)) \| (X = \|'mary'\|))) \| ((~room(mary)) \| (mary = \|'mary'\|))), inference(quant_inst,[status(thm)],[])). tff(17,plain, ((~![X: $i] : ((~room(X)) \| (X = \|'mary'\|))) \| (~room(mary)) \| (mary = \|'mary'\|)), inference(modus_ponens,[status(thm)],[16, 15])). tff(18,plain, (mary = \|'mary'\|), inference(unit_resolution,[status(thm)],[17, 14, 11])). tff(19,plain, (taller(mary, \|'mary'\|) <=> taller(\|'mary'\|, \|'mary'\|)), inference(monotonicity,[status(thm)],[18])). tff(20,plain, (taller(\|'mary'\|, \|'mary'\|) <=> taller(mary, \|'mary'\|)), inference(symmetry,[status(thm)],[19])). tff(21,plain, ((~taller(\|'mary'\|, \|'mary'\|)) <=> (~taller(mary, \|'mary'\|))), inference(monotonicity,[status(thm)],[20])). tff(22,plain, (\|'mary'\| = mary), inference(symmetry,[status(thm)],[18])). tff(23,plain, (predb(\|'mary'\|) <=> predb(mary)), inference(monotonicity,[status(thm)],[22])). tff(24,plain, (predb(mary) <=> predb(\|'mary'\|)), inference(symmetry,[status(thm)],[23])). tff(25,plain, (predb(mary) <=> predb(mary)), inference(rewrite,[status(thm)],[])). tff(26,plain, (predb(mary)), inference(and_elim,[status(thm)],[7])). tff(27,plain, (predb(mary)), inference(modus_ponens,[status(thm)],[26, 25])). tff(28,plain, (predb(\|'mary'\|)), inference(modus_ponens,[status(thm)],[27, 24])). tff(29,plain, (creative(\|'mary'\|) <=> creative(mary)), inference(monotonicity,[status(thm)],[22])). tff(30,plain, (creative(mary) <=> creative(\|'mary'\|)), inference(symmetry,[status(thm)],[29])). tff(31,plain, ((~creative(mary)) <=> (~creative(\|'mary'\|))), inference(monotonicity,[status(thm)],[30])). tff(32,plain, ((~creative(mary)) <=> (~creative(mary))), inference(rewrite,[status(thm)],[])). tff(33,plain, (~creative(mary)), inference(and_elim,[status(thm)],[7])). tff(34,plain, (~creative(mary)), inference(modus_ponens,[status(thm)],[33, 32])). tff(35,plain, (~creative(\|'mary'\|)), inference(modus_ponens,[status(thm)],[34, 31])). tff(36,plain, (((~creative(\|'mary'\|)) \| (~person(\|'mary'\|)) \| (~tall(\|'mary'\|))) \| creative(\|'mary'\|)), inference(tautology,[status(thm)],[])). tff(37,plain, ((~creative(\|'mary'\|)) \| (~person(\|'mary'\|)) \| (~tall(\|'mary'\|))), inference(unit_resolution,[status(thm)],[36, 35])). tff(38,assumption,(~((~room(X!8)) \| (X!8 = \|'mary'\|))), introduced(assumption)). tff(39,plain, (((~room(X!8)) \| (X!8 = \|'mary'\|)) \| (~(X!8 = \|'mary'\|))), inference(tautology,[status(thm)],[])). tff(40,plain, (~(X!8 = \|'mary'\|)), inference(unit_resolution,[status(thm)],[39, 38])). tff(41,plain, (((~room(X!8)) \| (X!8 = \|'mary'\|)) \| room(X!8)), inference(tautology,[status(thm)],[])). tff(42,plain, (room(X!8)), inference(unit_resolution,[status(thm)],[41, 38])). tff(43,plain, (((~![X: $i] : ((~room(X)) \| (X = \|'mary'\|))) \| ((~room(X!8)) \| (X!8 = \|'mary'\|))) <=> ((~![X: $i] : ((~room(X)) \| (X = \|'mary'\|))) \| (~room(X!8)) \| (X!8 = \|'mary'\|))), inference(rewrite,[status(thm)],[])). tff(44,plain, ((~![X: $i] : ((~room(X)) \| (X = \|'mary'\|))) \| ((~room(X!8)) \| (X!8 = \|'mary'\|))), inference(quant_inst,[status(thm)],[])). tff(45,plain, ((~![X: $i] : ((~room(X)) \| (X = \|'mary'\|))) \| (~room(X!8)) \| (X!8 = \|'mary'\|)), inference(modus_ponens,[status(thm)],[44, 43])). tff(46,plain, ($false), inference(unit_resolution,[status(thm)],[45, 11, 42, 40])). tff(47,plain,((~room(X!8)) \| (X!8 = \|'mary'\|)), inference(lemma,lemma(discharge,[]))). tff(48,plain, (((~room(mary)) \| (~((~room(X!8)) \| (X!8 = \|'mary'\|))) \| ![X: $i, Y: $i] : ((~predb(Y)) \| (~taller(X, Y)) \| (~((~creative(X)) \| (~tall(X)) \| (~person(X)))))) <=> ((~room(mary)) \| (~((~room(X!8)) \| (X!8 = \|'mary'\|))) \| ![X: $i, Y: $i] : ((~predb(Y)) \| (~taller(X, Y)) \| (~((~creative(X)) \| (~tall(X)) \| (~person(X))))))), inference(rewrite,[status(thm)],[])). tff(49,plain, (((~room(mary)) \| (~((~room(X!8)) \| (X!8 = \|'mary'\|))) \| ![X: $i, Y: $i] : (~((~(creative(X) & tall(X) & person(X))) & predb(Y) & taller(X, Y)))) <=> ((~room(mary)) \| (~((~room(X!8)) \| (X!8 = \|'mary'\|))) \| ![X: $i, Y: $i] : ((~predb(Y)) \| (~taller(X, Y)) \| (~((~creative(X)) \| (~tall(X)) \| (~person(X))))))), inference(rewrite,[status(thm)],[])). tff(50,plain, (((~room(mary)) \| (~((~room(X!8)) \| (X!8 = \|'mary'\|))) \| ![X: $i, Y: $i] : (~((~(creative(X) & tall(X) & person(X))) & predb(Y) & taller(X, Y)))) <=> ((~room(mary)) \| (~((~room(X!8)) \| (X!8 = \|'mary'\|))) \| ![X: $i, Y: $i] : (~((~(creative(X) & tall(X) & person(X))) & predb(Y) & taller(X, Y))))), inference(rewrite,[status(thm)],[])). tff(51,plain, ((room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & ?[X: $i, Y: $i] : ((~(creative(X) & tall(X) & person(X))) & predb(Y) & taller(X, Y))) <=> (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & ?[X: $i, Y: $i] : ((~(creative(X) & tall(X) & person(X))) & predb(Y) & taller(X, Y)))), inference(rewrite,[status(thm)],[])). tff(52,plain, ((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & ?[X: $i, Y: $i] : ((~(creative(X) & tall(X) & person(X))) & predb(Y) & taller(X, Y)))) <=> (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & ?[X: $i, Y: $i] : ((~(creative(X) & tall(X) & person(X))) & predb(Y) & taller(X, Y))))), inference(monotonicity,[status(thm)],[51])). tff(53,plain, ((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & ?[X: $i, Y: $i] : ((~(creative(X) & tall(X) & person(X))) & predb(Y) & taller(X, Y)))) <=> (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & ?[X: $i, Y: $i] : ((~(creative(X) & tall(X) & person(X))) & predb(Y) & taller(X, Y))))), inference(rewrite,[status(thm)],[])). tff(54,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & ?[X: $i, Y: $i] : ((~(creative(X) & tall(X) & person(X))) & predb(Y) & taller(X, Y)))), inference(or_elim,[status(thm)],[6])). tff(55,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & ?[X: $i, Y: $i] : ((~(creative(X) & tall(X) & person(X))) & predb(Y) & taller(X, Y)))), inference(modus_ponens,[status(thm)],[54, 52])). tff(56,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & ?[X: $i, Y: $i] : ((~(creative(X) & tall(X) & person(X))) & predb(Y) & taller(X, Y)))), inference(modus_ponens,[status(thm)],[55, 53])). tff(57,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & ?[X: $i, Y: $i] : ((~(creative(X) & tall(X) & person(X))) & predb(Y) & taller(X, Y)))), inference(modus_ponens,[status(thm)],[56, 52])). unexpected number of arguments: (let ((a!1 (refl (~ (not (room mary)) (not (room mary))))) (a!2 (forall ((X $i)) (or (not (room X)) (= X \|'mary'\|)))) (a!3 (not (or (not (room X!8)) (= X!8 \|'mary'\|)))) (a!4 (lambda ((X $i) (Y $i)) (let ((a!1 (and (not (and (creative X) (tall X) (person X))) (predb Y) (taller X Y)))) (refl (~ (not a!1) (not a!1)))))) (a!5 (exists ((X $i) (Y $i)) (and (not (and (creative X) (tall X) (person X))) (predb Y) (taller X Y)))) (a!6 (forall ((X $i) (Y $i)) (let ((a!1 (and (not (and (creative X) (tall X) (person X))) (predb Y) (taller X Y)))) (not a!1))))) (let ((a!7 (~ (not (and (room mary) a!2 a!5)) (or (not (room mary)) a!3 a!6)))) (nnf-neg a!1 (sk (~ (not a!2) a!3)) (nnf-neg (proof-bind a!4) (~ (not a!5) a!6)) a!7)))	room(sharon)&(![X]:(room(X)=>(X='sharon')))& ((?[X]:(~room(X)=>(((~like(X,arnold))=>(client(arnold,X))))))& (((?[X]:(~room(X)&does_not_read_mystery_novels(X)))&(![X,Y]:((does_not_read_mystery_novels(X)&does_not_read_mystery_novels(Y))=>(X=Y)))))& ((?[X,Y]:(~room(X)&~room(Y)&(~hate(arnold,X)&~hate(arnold,Y))&(X!=Y))))& (?[X,Y]:((~creative(X))&(hate(tim,Y))&(like(X,Y))))& (![X]:(taller(sharon,X)))& ((~creative(sharon))&(reads_mystery_novels(sharon)))& (?[X,Y]:((X!=sharon)&(~like(Y,tim))&(hate(X,Y))))& (~((~like(sharon,arnold))\|(does_not_read_mystery_novels(sharon)))))	room(sharon)&(![X]:(room(X)=>(X='sharon')))& (?[X,Y]:((~(creative(X)&tall(X)&person(X)))&(reads_mystery_novels(Y))&(taller(X,Y))))	contradiction	contradiction	contradiction
Lester is the only person in the room. Someone who is taller than Lee is taller than someone who does not practice urban gardening if Margret and Lester like each other. Lester is liked by Carrie. Someone who is not Lester like someone who is taller than Lee.	Lester neither does not practice urban gardening nor is liked by Carrie.	contradiction	-	room(lester)&(![X]:(room(X)=>(X='lester')))& ((((like(margret,lester) & like(lester,margret)))=>(?[X,Y]:((taller(lee,X))&(does_not_practice_urban_gardening(Y))&(taller(X,Y)))))& (like(lester,carrie))& (?[X,Y]:((X!=lester)&(taller(lee,Y))&(like(X,Y)))))	room(lester)&(![X]:(room(X)=>(X='lester')))& (~((does_not_practice_urban_gardening(lester))\|(like(lester,carrie))))	contradiction	neutral	contradiction
Sandra is the only person in the room. Sandra neither likes Dale nor does not enjoy photography. Sandra is not liked by Dale or is a happy tall person or both. Sandra is liked by Thomas or is taller than Jo or both. Sandra is liked by Dale. Sandra is the tallest in the room. More than one person outside the room is taller than Dale. Jo and Sandra like each other.	Sandra is taller than Dale or does not play a string instrument or both.	entailment	% SZS status Unsatisfiable % SZS output start Proof tff(tptp_fun__mary__type, type, ( tptp_fun__mary_: $i)). tff(tptp_fun_X_2_type, type, ( tptp_fun_X_2: $i)). tff(room_type, type, ( room: $i > $o)). tff(predc_type, type, ( predc: $i > $o)). tff(mary_type, type, ( mary: $i)). tff(taller_type, type, ( taller: ( $i * $i ) > $o)). tff(paul_type, type, ( paul: $i)). tff(like_type, type, ( like: ( $i * $i ) > $o)). tff(alice_type, type, ( alice: $i)). tff(fred_type, type, ( fred: $i)). tff(person_type, type, ( person: $i > $o)). tff(tall_type, type, ( tall: $i > $o)). tff(happy_type, type, ( happy: $i > $o)). tff(predb_type, type, ( predb: $i > $o)). tff(1,assumption,(~taller(paul, mary)), introduced(assumption)). tff(2,plain, (^[X: $i] : refl(taller(X, mary) <=> taller(X, mary))), inference(bind,[status(th)],[])). tff(3,plain, (![X: $i] : taller(X, mary) <=> ![X: $i] : taller(X, mary)), inference(quant_intro,[status(thm)],[2])). tff(4,plain, (![X: $i] : taller(X, mary) <=> ![X: $i] : taller(X, mary)), inference(rewrite,[status(thm)],[])). tff(5,plain, ((~(((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & (((((((~(like(paul, mary) \| (~predb(mary)))) & ((~like(mary, paul)) \| ((happy(mary) & tall(mary)) & person(mary)))) & (like(mary, fred) \| taller(alice, mary))) & like(mary, paul)) & ![X: $i] : taller(X, mary)) & ?[X: $i, Y: $i] : ((((~room(X)) & (~room(Y))) & (taller(paul, X) & taller(paul, Y))) & (~(X = Y)))) & (like(alice, mary) & like(mary, alice)))) => ((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & (taller(paul, mary) \| (~predc(mary)))))) <=> (~((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (~(like(paul, mary) \| (~predb(mary)))) & ((~like(mary, paul)) \| (happy(mary) & tall(mary) & person(mary))) & (like(mary, fred) \| taller(alice, mary)) & like(mary, paul) & ![X: $i] : taller(X, mary) & ?[X: $i, Y: $i] : ((~room(X)) & (~room(Y)) & taller(paul, X) & taller(paul, Y) & (~(X = Y))) & like(alice, mary) & like(mary, alice))) \| (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (taller(paul, mary) \| (~predc(mary))))))), inference(rewrite,[status(thm)],[])). tff(6,axiom,(~(((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & (((((((~(like(paul, mary) \| (~predb(mary)))) & ((~like(mary, paul)) \| ((happy(mary) & tall(mary)) & person(mary)))) & (like(mary, fred) \| taller(alice, mary))) & like(mary, paul)) & ![X: $i] : taller(X, mary)) & ?[X: $i, Y: $i] : ((((~room(X)) & (~room(Y))) & (taller(paul, X) & taller(paul, Y))) & (~(X = Y)))) & (like(alice, mary) & like(mary, alice)))) => ((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & (taller(paul, mary) \| (~predc(mary)))))), file('/mnt/tmpfs//4091414189681181313677084.p','negated')). tff(7,plain, (~((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (~(like(paul, mary) \| (~predb(mary)))) & ((~like(mary, paul)) \| (happy(mary) & tall(mary) & person(mary))) & (like(mary, fred) \| taller(alice, mary)) & like(mary, paul) & ![X: $i] : taller(X, mary) & ?[X: $i, Y: $i] : ((~room(X)) & (~room(Y)) & taller(paul, X) & taller(paul, Y) & (~(X = Y))) & like(alice, mary) & like(mary, alice))) \| (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (taller(paul, mary) \| (~predc(mary)))))), inference(modus_ponens,[status(thm)],[6, 5])). tff(8,plain, (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (~(like(paul, mary) \| (~predb(mary)))) & ((~like(mary, paul)) \| (happy(mary) & tall(mary) & person(mary))) & (like(mary, fred) \| taller(alice, mary)) & like(mary, paul) & ![X: $i] : taller(X, mary) & ?[X: $i, Y: $i] : ((~room(X)) & (~room(Y)) & taller(paul, X) & taller(paul, Y) & (~(X = Y))) & like(alice, mary) & like(mary, alice)), inference(or_elim,[status(thm)],[7])). tff(9,plain, (![X: $i] : taller(X, mary)), inference(and_elim,[status(thm)],[8])). tff(10,plain, (![X: $i] : taller(X, mary)), inference(modus_ponens,[status(thm)],[9, 4])). tff(11,plain,( ![X: $i] : taller(X, mary)), inference(skolemize,[status(sab)],[10])). tff(12,plain, (![X: $i] : taller(X, mary)), inference(modus_ponens,[status(thm)],[11, 3])). tff(13,plain, ((~![X: $i] : taller(X, mary)) \| taller(paul, mary)), inference(quant_inst,[status(thm)],[])). tff(14,plain, ($false), inference(unit_resolution,[status(thm)],[13, 12, 1])). tff(15,plain,(taller(paul, mary)), inference(lemma,lemma(discharge,[]))). tff(16,plain, ((taller(paul, mary) \| (~predc(mary))) \| (~taller(paul, mary))), inference(tautology,[status(thm)],[])). tff(17,plain, (taller(paul, mary) \| (~predc(mary))), inference(unit_resolution,[status(thm)],[16, 15])). tff(18,plain, (room(mary) <=> room(mary)), inference(rewrite,[status(thm)],[])). tff(19,plain, (room(mary)), inference(and_elim,[status(thm)],[8])). tff(20,plain, (room(mary)), inference(modus_ponens,[status(thm)],[19, 18])). tff(21,plain, ((taller(paul, mary) \| (~predc(mary))) <=> (taller(paul, mary) \| (~predc(mary)))), inference(rewrite,[status(thm)],[])). tff(22,plain, ((~(taller(paul, mary) \| (~predc(mary)))) <=> (~(taller(paul, mary) \| (~predc(mary))))), inference(monotonicity,[status(thm)],[21])). tff(23,plain, (((~room(mary)) \| (~((~room(X!2)) \| (X!2 = \|'mary'\|))) \| (~(taller(paul, mary) \| (~predc(mary))))) <=> ((~room(mary)) \| (~((~room(X!2)) \| (X!2 = \|'mary'\|))) \| (~(taller(paul, mary) \| (~predc(mary)))))), inference(monotonicity,[status(thm)],[22])). tff(24,plain, ((room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (taller(paul, mary) \| (~predc(mary)))) <=> (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (taller(paul, mary) \| (~predc(mary))))), inference(rewrite,[status(thm)],[])). tff(25,plain, ((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (taller(paul, mary) \| (~predc(mary))))) <=> (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (taller(paul, mary) \| (~predc(mary)))))), inference(monotonicity,[status(thm)],[24])). tff(26,plain, ((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (taller(paul, mary) \| (~predc(mary))))) <=> (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (taller(paul, mary) \| (~predc(mary)))))), inference(rewrite,[status(thm)],[])). tff(27,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (taller(paul, mary) \| (~predc(mary))))), inference(or_elim,[status(thm)],[7])). tff(28,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (taller(paul, mary) \| (~predc(mary))))), inference(modus_ponens,[status(thm)],[27, 25])). tff(29,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (taller(paul, mary) \| (~predc(mary))))), inference(modus_ponens,[status(thm)],[28, 26])). tff(30,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (taller(paul, mary) \| (~predc(mary))))), inference(modus_ponens,[status(thm)],[29, 25])). unexpected number of arguments: (let ((a!1 (refl (~ (not (room mary)) (not (room mary))))) (a!2 (forall ((X $i)) (or (not (room X)) (= X \|'mary'\|)))) (a!3 (not (or (not (room X!2)) (= X!2 \|'mary'\|)))) (a!4 (not (or (taller paul mary) (not (predc mary)))))) (let ((a!5 (and (room mary) a!2 (or (taller paul mary) (not (predc mary)))))) (let ((a!6 (~ (not a!5) (or (not (room mary)) a!3 a!4)))) (nnf-neg a!1 (sk (~ (not a!2) a!3)) (refl (~ a!4 a!4)) a!6))))	room(sandra)&(![X]:(room(X)=>(X='sandra')))& ((~((like(dale,sandra))\|(does_not_enjoy_photography(sandra))))& (((~like(sandra,dale))\|(happy(sandra)&tall(sandra)&person(sandra))))& (((like(sandra,thomas))\|(taller(jo,sandra))))& (like(sandra,dale))& (![X]:(taller(X,sandra)))& ((?[X,Y]:(~room(X)&~room(Y)&(taller(dale,X)&taller(dale,Y))&(X!=Y))))& ((like(jo,sandra) & like(sandra,jo))))	room(sandra)&(![X]:(room(X)=>(X='sandra')))& (((taller(dale,sandra))\|(does_not_play_a_string_instrument(sandra))))	contradiction	neutral	entailment
Wayne is quieter than Larry.	Wayne is quieter than Larry or enjoys ceramics or both.	entailment	% SZS status Unsatisfiable % SZS output start Proof tff(tptp_fun__mary__type, type, ( tptp_fun__mary_: $i)). tff(tptp_fun_X_0_type, type, ( tptp_fun_X_0: $i)). tff(room_type, type, ( room: $i > $o)). tff(predc_type, type, ( predc: $i > $o)). tff(mary_type, type, ( mary: $i)). tff(quieter_type, type, ( quieter: ( $i * $i ) > $o)). tff(john_type, type, ( john: $i)). tff(1,plain, (quieter(john, mary) <=> quieter(john, mary)), inference(rewrite,[status(thm)],[])). tff(2,plain, ((~(((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & quieter(john, mary)) => ((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & (quieter(john, mary) \| predc(mary))))) <=> (~((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & quieter(john, mary))) \| (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (quieter(john, mary) \| predc(mary)))))), inference(rewrite,[status(thm)],[])). tff(3,axiom,(~(((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & quieter(john, mary)) => ((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & (quieter(john, mary) \| predc(mary))))), file('/mnt/tmpfs//7534015551737703702966724.p','negated')). tff(4,plain, (~((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & quieter(john, mary))) \| (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (quieter(john, mary) \| predc(mary))))), inference(modus_ponens,[status(thm)],[3, 2])). tff(5,plain, (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & quieter(john, mary)), inference(or_elim,[status(thm)],[4])). tff(6,plain, (quieter(john, mary)), inference(and_elim,[status(thm)],[5])). tff(7,plain, (quieter(john, mary)), inference(modus_ponens,[status(thm)],[6, 1])). tff(8,plain, ((quieter(john, mary) \| predc(mary)) \| (~quieter(john, mary))), inference(tautology,[status(thm)],[])). tff(9,plain, (quieter(john, mary) \| predc(mary)), inference(unit_resolution,[status(thm)],[8, 7])). tff(10,plain, (room(mary) <=> room(mary)), inference(rewrite,[status(thm)],[])). tff(11,plain, (room(mary)), inference(and_elim,[status(thm)],[5])). tff(12,plain, (room(mary)), inference(modus_ponens,[status(thm)],[11, 10])). tff(13,plain, (((~room(mary)) \| (~((~room(X!0)) \| (X!0 = \|'mary'\|))) \| (~(quieter(john, mary) \| predc(mary)))) <=> ((~room(mary)) \| (~((~room(X!0)) \| (X!0 = \|'mary'\|))) \| (~(quieter(john, mary) \| predc(mary))))), inference(rewrite,[status(thm)],[])). tff(14,plain, ((quieter(john, mary) \| predc(mary)) <=> (quieter(john, mary) \| predc(mary))), inference(rewrite,[status(thm)],[])). tff(15,plain, ((~(quieter(john, mary) \| predc(mary))) <=> (~(quieter(john, mary) \| predc(mary)))), inference(monotonicity,[status(thm)],[14])). tff(16,plain, (((~room(mary)) \| (~((~room(X!0)) \| (X!0 = \|'mary'\|))) \| (~(quieter(john, mary) \| predc(mary)))) <=> ((~room(mary)) \| (~((~room(X!0)) \| (X!0 = \|'mary'\|))) \| (~(quieter(john, mary) \| predc(mary))))), inference(monotonicity,[status(thm)],[15])). tff(17,plain, (((~room(mary)) \| (~((~room(X!0)) \| (X!0 = \|'mary'\|))) \| (~(quieter(john, mary) \| predc(mary)))) <=> ((~room(mary)) \| (~((~room(X!0)) \| (X!0 = \|'mary'\|))) \| (~(quieter(john, mary) \| predc(mary))))), inference(transitivity,[status(thm)],[16, 13])). tff(18,plain, ((room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (quieter(john, mary) \| predc(mary))) <=> (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (quieter(john, mary) \| predc(mary)))), inference(rewrite,[status(thm)],[])). tff(19,plain, ((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (quieter(john, mary) \| predc(mary)))) <=> (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (quieter(john, mary) \| predc(mary))))), inference(monotonicity,[status(thm)],[18])). tff(20,plain, ((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (quieter(john, mary) \| predc(mary)))) <=> (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (quieter(john, mary) \| predc(mary))))), inference(rewrite,[status(thm)],[])). tff(21,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (quieter(john, mary) \| predc(mary)))), inference(or_elim,[status(thm)],[4])). tff(22,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (quieter(john, mary) \| predc(mary)))), inference(modus_ponens,[status(thm)],[21, 19])). tff(23,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (quieter(john, mary) \| predc(mary)))), inference(modus_ponens,[status(thm)],[22, 20])). tff(24,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (quieter(john, mary) \| predc(mary)))), inference(modus_ponens,[status(thm)],[23, 19])). unexpected number of arguments: (let ((a!1 (refl (~ (not (room mary)) (not (room mary))))) (a!2 (forall ((X $i)) (or (not (room X)) (= X \|'mary'\|)))) (a!3 (not (or (not (room X!0)) (= X!0 \|'mary'\|)))) (a!4 (~ (not (or (quieter john mary) (predc mary))) (not (or (quieter john mary) (predc mary)))))) (let ((a!5 (not (and (room mary) a!2 (or (quieter john mary) (predc mary))))) (a!6 (or (not (room mary)) a!3 (not (or (quieter john mary) (predc mary)))))) (nnf-neg a!1 (sk (~ (not a!2) a!3)) (refl a!4) (~ a!5 a!6))))	room(wayne)&(![X]:(room(X)=>(X='wayne')))& (quieter(larry,wayne))	room(wayne)&(![X]:(room(X)=>(X='wayne')))& (((quieter(larry,wayne))\|(enjoys_ceramics(wayne))))	neutral	neutral	entailment
Jessie neither is not a tall rich brave tourist nor does not like Karen. Michael who is not brave, not tall, not rich, is hated by Carrie.	Michael neither is a rich quiet brave happy tourist nor is hated by Carrie.	contradiction	-	room(michael)&room(carrie)&room(jessie)&(![X]:(room(X)=>(X='michael'\|X='carrie'\|X='jessie')))& ((~((~(tall(jessie)&rich(jessie)&brave(jessie)&tourist(jessie)))\|(~like(karen,jessie))))& ((~brave(michael)&~tall(michael)&~rich(michael))&(hate(michael,carrie))))	room(michael)&room(carrie)&room(jessie)&(![X]:(room(X)=>(X='michael'\|X='carrie'\|X='jessie')))& (~((rich(michael)&quiet(michael)&brave(michael)&happy(michael)&tourist(michael))\|(hate(michael,carrie))))	contradiction	entailment	contradiction
Daniel is the only person in the room. “Daniel is the quietest in the room” only if “it is not the case that 'Daniel is the least tall in the room'”. Someone who is a happy quiet tourist hate someone who is not a tall european. Timothy and Daniel hate each other. Only one person outside the room is a happy tourist. Daniel is a tall european and is a happy european.	Daniel neither is not a happy quiet tourist nor is a brave happy tall quiet tourist.	contradiction	-	room(daniel)&(![X]:(room(X)=>(X='daniel')))& (((![X]:(quieter(X,daniel)))=>(~(![X]:(taller(daniel,X)))))& (?[X,Y]:((happy(X)&quiet(X)&tourist(X))&(~(tall(Y)&european(Y)))&(hate(X,Y))))& ((hate(timothy,daniel) & hate(daniel,timothy)))& (((?[X]:(~room(X)&happy(X)&tourist(X)))&(![X,Y]:((happy(X)&tourist(X)&happy(Y)&tourist(Y))=>(X=Y)))))& ((tall(daniel)&european(daniel))&(happy(daniel)&european(daniel))))	room(daniel)&(![X]:(room(X)=>(X='daniel')))& (~((~(happy(daniel)&quiet(daniel)&tourist(daniel)))\|(brave(daniel)&happy(daniel)&tall(daniel)&quiet(daniel)&tourist(daniel))))	neutral	entailment	contradiction
Not all of the following are true:. -Toni and Mary like each other. -Zelma is richer than Mary. -It is not the case that 'Zelma who is richer than Mary, is not liked by Mary'.	It is not the case that 'Doreen who likes Mary, does not like Mary'.	entailment	% SZS status Unsatisfiable % SZS output start Proof tff(room_type, type, ( room: $i > $o)). tff(tptp_fun_X_0_type, type, ( tptp_fun_X_0: $i)). tff(tptp_fun__mary__type, type, ( tptp_fun__mary_: $i)). tff(tptp_fun__paul__type, type, ( tptp_fun__paul_: $i)). tff(tptp_fun__fred__type, type, ( tptp_fun__fred_: $i)). tff(fred_type, type, ( fred: $i)). tff(like_type, type, ( like: ( $i * $i ) > $o)). tff(john_type, type, ( john: $i)). tff(richer_type, type, ( richer: ( $i * $i ) > $o)). tff(paul_type, type, ( paul: $i)). tff(mary_type, type, ( mary: $i)). tff(1,plain, (room(fred) <=> room(fred)), inference(rewrite,[status(thm)],[])). tff(2,plain, ((~(((((room(mary) & room(paul)) & room(fred)) & ![X: $i] : (room(X) => (((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)))) & (~(((like(paul, john) & like(john, paul)) & richer(john, fred)) & (~(richer(john, fred) & (~like(fred, john))))))) => ((((room(mary) & room(paul)) & room(fred)) & ![X: $i] : (room(X) => (((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)))) & (~(like(john, mary) & (~like(john, mary))))))) <=> (~((~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & (~(like(paul, john) & like(john, paul) & richer(john, fred) & (~(richer(john, fred) & (~like(fred, john)))))))) \| (room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))))))), inference(rewrite,[status(thm)],[])). tff(3,axiom,(~(((((room(mary) & room(paul)) & room(fred)) & ![X: $i] : (room(X) => (((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)))) & (~(((like(paul, john) & like(john, paul)) & richer(john, fred)) & (~(richer(john, fred) & (~like(fred, john))))))) => ((((room(mary) & room(paul)) & room(fred)) & ![X: $i] : (room(X) => (((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)))) & (~(like(john, mary) & (~like(john, mary))))))), file('/mnt/tmpfs//2553996457294349470240690.p','negated')). tff(4,plain, (~((~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & (~(like(paul, john) & like(john, paul) & richer(john, fred) & (~(richer(john, fred) & (~like(fred, john)))))))) \| (room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))))), inference(modus_ponens,[status(thm)],[3, 2])). tff(5,plain, (room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & (~(like(paul, john) & like(john, paul) & richer(john, fred) & (~(richer(john, fred) & (~like(fred, john))))))), inference(or_elim,[status(thm)],[4])). tff(6,plain, (room(fred)), inference(and_elim,[status(thm)],[5])). tff(7,plain, (room(fred)), inference(modus_ponens,[status(thm)],[6, 1])). tff(8,plain, (room(paul) <=> room(paul)), inference(rewrite,[status(thm)],[])). tff(9,plain, (room(paul)), inference(and_elim,[status(thm)],[5])). tff(10,plain, (room(paul)), inference(modus_ponens,[status(thm)],[9, 8])). tff(11,plain, (room(mary) <=> room(mary)), inference(rewrite,[status(thm)],[])). tff(12,plain, (room(mary)), inference(and_elim,[status(thm)],[5])). tff(13,plain, (room(mary)), inference(modus_ponens,[status(thm)],[12, 11])). tff(14,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0))))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0)))))), inference(rewrite,[status(thm)],[])). tff(15,plain, ((~((X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0)))) <=> (~((X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0))))), inference(rewrite,[status(thm)],[])). tff(16,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0))))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0)))))), inference(monotonicity,[status(thm)],[15])). tff(17,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0))))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0)))))), inference(transitivity,[status(thm)],[16, 14])). tff(18,plain, ((room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))) <=> (room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))))), inference(rewrite,[status(thm)],[])). tff(19,plain, ((~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))))) <=> (~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))))), inference(monotonicity,[status(thm)],[18])). tff(20,plain, ((~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))))) <=> (~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))))), inference(rewrite,[status(thm)],[])). tff(21,plain, (~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))))), inference(or_elim,[status(thm)],[4])). tff(22,plain, (~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))))), inference(modus_ponens,[status(thm)],[21, 19])). tff(23,plain, (~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))))), inference(modus_ponens,[status(thm)],[22, 20])). tff(24,plain, (~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))))), inference(modus_ponens,[status(thm)],[23, 19])). unexpected number of arguments: (let ((a!1 (refl (~ (not (room mary)) (not (room mary))))) (a!2 (refl (~ (not (room paul)) (not (room paul))))) (a!3 (refl (~ (not (room fred)) (not (room fred))))) (a!4 (forall ((X $i)) (or (= X \|'fred'\|) (= X \|'paul'\|) (= X \|'mary'\|) (not (room X))))) (a!5 (not (or (= X!0 \|'fred'\|) (= X!0 \|'paul'\|) (= X!0 \|'mary'\|) (not (room X!0)))))) (let ((a!6 (~ (not (and (room mary) (room paul) (room fred) a!4)) (or (not (room mary)) (not (room paul)) (not (room fred)) a!5)))) (nnf-neg a!1 a!2 a!3 (sk (~ (not a!4) a!5)) a!6)))	room(doreen)&room(toni)&room(zelma)&(![X]:(room(X)=>(X='doreen'\|X='toni'\|X='zelma')))& (~((like(toni,mary) & like(mary,toni))&richer(mary,zelma)&~((richer(mary,zelma))&(~like(zelma,mary)))))	room(doreen)&room(toni)&room(zelma)&(![X]:(room(X)=>(X='doreen'\|X='toni'\|X='zelma')))& (~((like(mary,doreen))&(~like(mary,doreen))))	neutral	neutral	neutral
Aline, Thomas, Penny, Ramona are the only persons in the room. Thomas who likes Bessie, does not have lived in exactly three countries. Bessie is taller than Aline. More than one person outside the room has lived in exactly three countries. Only one person outside the room is not liked by Bessie. Someone who does not like Bessie is taller than someone who does not have lived in exactly three countries. Thomas is the tallest in the room.	Penny is taller than Bessie and does not like Bessie.	neutral	% SZS status Satisfiable	room(aline)&room(thomas)&room(penny)&room(ramona)&(![X]:(room(X)=>(X='aline'\|X='thomas'\|X='penny'\|X='ramona')))& (((like(bessie,thomas))&(does_not_have_lived_in_exactly_three_countries(thomas)))& (taller(aline,bessie))& ((?[X,Y]:(~room(X)&~room(Y)&(has_lived_in_exactly_three_countries(X)&has_lived_in_exactly_three_countries(Y))&(X!=Y))))& (((?[X]:(~room(X)&~like(X,bessie)))&(![X,Y]:((~like(X,bessie)&~like(Y,bessie))=>(X=Y)))))& (?[X,Y]:((~like(bessie,X))&(does_not_have_lived_in_exactly_three_countries(Y))&(taller(X,Y))))& (![X]:(taller(X,thomas))))	room(aline)&room(thomas)&room(penny)&room(ramona)&(![X]:(room(X)=>(X='aline'\|X='thomas'\|X='penny'\|X='ramona')))& ((taller(bessie,penny))&(~like(bessie,penny)))	neutral	contradiction	contradiction
Michael, Brooks are the only persons in the room. Someone who is not Michael hate someone who hates Brittany. Brooks is the least rich in the room. Michael is the least quiet in the room.	It is not the case that 'Brittany is quieter than Michael'.	contradiction	-	room(michael)&room(brooks)&(![X]:(room(X)=>(X='michael'\|X='brooks')))& ((?[X,Y]:((X!=michael)&(hate(brittany,Y))&(hate(X,Y))))& (![X]:(richer(brooks,X)))& (![X]:(quieter(michael,X))))	room(michael)&room(brooks)&(![X]:(room(X)=>(X='michael'\|X='brooks')))& (~(quieter(michael,brittany)))	entailment	entailment	entailment
Donna is the only person in the room. Donna does not have a piercing or is not hated by Dora or both if Donna who is hated by Dora, is not rich and vice versa. Only one person in the room enjoys fishing. Dora is taller than Donna. Donna is the least quiet in the room. More than one person outside the room is quieter than Dora.	Donna neither enjoys fishing nor does not hate Dora.	contradiction	-	room(donna)&(![X]:(room(X)=>(X='donna')))& ((((hate(donna,dora))&(~rich(donna)))<=>(((does_not_have_a_piercing(donna))\|(~hate(donna,dora)))))& (((?[X]:(room(X)&enjoys_fishing(X)))&(![X,Y]:((enjoys_fishing(X)&enjoys_fishing(Y))=>(X=Y)))))& (taller(donna,dora))& (![X]:(quieter(donna,X)))& ((?[X,Y]:(~room(X)&~room(Y)&(quieter(dora,X)&quieter(dora,Y))&(X!=Y)))))	room(donna)&(![X]:(room(X)=>(X='donna')))& (~((enjoys_fishing(donna))\|(~hate(dora,donna))))	contradiction	neutral	neutral
Erick, Janeen are the only persons in the room. "Harry is richer than Erick" only if "only one person in the room is not liked by Harry". "Only one person outside the room is liked by Lois" unless "someone outside the room who enjoys jogging is a sibling of Harry". If "Janeen and Erick are respectively tall and rich" then "Erick is not tall". Janeen does not hate Harry and is not creative, not rich, not tall. More than one person in the room is hated by Harry. Someone outside the room who enjoys jogging is a sibling of Harry. Erick does not hate Harry and is not Janeen. Erick neither is not tall nor is not hated by Harry.	Janeen neither is not brave, not rich nor is liked by Harry.	neutral	% SZS status Satisfiable	room(erick)&room(janeen)&(![X]:(room(X)=>(X='erick'\|X='janeen')))& (((richer(erick,harry))=>(((?[X]:(room(X)&~like(X,harry)))&(![X,Y]:((~like(X,harry)&~like(Y,harry))=>(X=Y))))))& (~(?[X]:(~room(X)=>(((enjoys_jogging(X))=>(sibling(harry,X))))))=>(((?[X]:(~room(X)&like(X,lois)))&(![X,Y]:((like(X,lois)&like(Y,lois))=>(X=Y))))))& (((tall(janeen))&(rich(erick)))=>(~tall(erick)))& ((~hate(harry,janeen))&(~creative(janeen)&~rich(janeen)&~tall(janeen)))& ((?[X,Y]:(room(X)&room(Y)&(hate(X,harry)&hate(Y,harry))&(X!=Y))))& (?[X]:(~room(X)=>(((enjoys_jogging(X))=>(sibling(harry,X))))))& ((~hate(harry,erick))&(erick!=janeen))& (~((~tall(erick))\|(~hate(erick,harry)))))	room(erick)&room(janeen)&(![X]:(room(X)=>(X='erick'\|X='janeen')))& (~((~brave(janeen)&~rich(janeen))\|(like(janeen,harry))))	contradiction	contradiction	contradiction
Matthew, Robert are the only persons in the room. At least one of the following is true:. -Matthew and Robert are not a tall quiet creative european. -Robert neither is not hated by Shirley nor does not hate Ladonna. -No one outside the room who is not Robert hates Ladonna.	It is not the case that 'Robert is not hated by Shirley and is a client of Shirley'.	neutral	% SZS status Satisfiable	room(matthew)&room(robert)&(![X]:(room(X)=>(X='matthew'\|X='robert')))& (((~(tall(matthew)&quiet(matthew)&creative(matthew)&european(matthew))&~(tall(robert)&quiet(robert)&creative(robert)&european(robert)))\| (~((~hate(robert,shirley))\|(~hate(ladonna,robert))))\| (~?[X]:(~room(X)=>(((X!=robert)=>(hate(ladonna,X))))))))	room(matthew)&room(robert)&(![X]:(room(X)=>(X='matthew'\|X='robert')))& (~((~hate(robert,shirley))&(client(shirley,robert))))	entailment	entailment	entailment
Randall, William, Carlos are the only persons in the room. Randall is liked by Annamarie. More than one person in the room likes Gloria.	Someone who is liked by Annamarie like someone who is not Randall.	entailment	% SZS status Unsatisfiable % SZS output start Proof tff(like_type, type, ( like: ( $i * $i ) > $o)). tff(susan_type, type, ( susan: $i)). tff(mary_type, type, ( mary: $i)). tff(room_type, type, ( room: $i > $o)). tff(tptp_fun_X_2_type, type, ( tptp_fun_X_2: $i)). tff(tptp_fun__mary__type, type, ( tptp_fun__mary_: $i)). tff(tptp_fun__paul__type, type, ( tptp_fun__paul_: $i)). tff(tptp_fun__fred__type, type, ( tptp_fun__fred_: $i)). tff(john_type, type, ( john: $i)). tff(fred_type, type, ( fred: $i)). tff(paul_type, type, ( paul: $i)). tff(lucy_type, type, ( lucy: $i)). tff(alice_type, type, ( alice: $i)). tff(1,assumption,(~((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))), introduced(assumption)). tff(2,plain, (((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2))) \| room(X!2)), inference(tautology,[status(thm)],[])). tff(3,plain, (room(X!2)), inference(unit_resolution,[status(thm)],[2, 1])). tff(4,plain, (((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2))) \| (~(X!2 = \|'mary'\|))), inference(tautology,[status(thm)],[])). tff(5,plain, (~(X!2 = \|'mary'\|)), inference(unit_resolution,[status(thm)],[4, 1])). tff(6,plain, (((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2))) \| (~(X!2 = \|'paul'\|))), inference(tautology,[status(thm)],[])). tff(7,plain, (~(X!2 = \|'paul'\|)), inference(unit_resolution,[status(thm)],[6, 1])). tff(8,plain, (((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2))) \| (~(X!2 = \|'fred'\|))), inference(tautology,[status(thm)],[])). tff(9,plain, (~(X!2 = \|'fred'\|)), inference(unit_resolution,[status(thm)],[8, 1])). tff(10,plain, (^[X: $i] : refl(((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) <=> ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))))), inference(bind,[status(th)],[])). tff(11,plain, (![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) <=> ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))), inference(quant_intro,[status(thm)],[10])). tff(12,plain, (![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) <=> ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))), inference(rewrite,[status(thm)],[])). tff(13,plain, ((~(((((room(mary) & room(paul)) & room(fred)) & ![X: $i] : (room(X) => (((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)))) & (like(mary, susan) & ?[X: $i, Y: $i] : (((room(X) & room(Y)) & (like(john, X) & like(john, Y))) & (~(X = Y))))) => ((((room(mary) & room(paul)) & room(fred)) & ![X: $i] : (room(X) => (((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)))) & ?[X: $i, Y: $i] : ((like(X, susan) & (~(Y = mary))) & like(X, Y))))) <=> (~((~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & like(mary, susan) & ?[X: $i, Y: $i] : (room(X) & room(Y) & like(john, X) & like(john, Y) & (~(X = Y))))) \| (room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : (like(X, susan) & (~(Y = mary)) & like(X, Y)))))), inference(rewrite,[status(thm)],[])). tff(14,axiom,(~(((((room(mary) & room(paul)) & room(fred)) & ![X: $i] : (room(X) => (((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)))) & (like(mary, susan) & ?[X: $i, Y: $i] : (((room(X) & room(Y)) & (like(john, X) & like(john, Y))) & (~(X = Y))))) => ((((room(mary) & room(paul)) & room(fred)) & ![X: $i] : (room(X) => (((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)))) & ?[X: $i, Y: $i] : ((like(X, susan) & (~(Y = mary))) & like(X, Y))))), file('/mnt/tmpfs//1999622931107826427788337.p','negated')). tff(15,plain, (~((~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & like(mary, susan) & ?[X: $i, Y: $i] : (room(X) & room(Y) & like(john, X) & like(john, Y) & (~(X = Y))))) \| (room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : (like(X, susan) & (~(Y = mary)) & like(X, Y))))), inference(modus_ponens,[status(thm)],[14, 13])). tff(16,plain, (room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & like(mary, susan) & ?[X: $i, Y: $i] : (room(X) & room(Y) & like(john, X) & like(john, Y) & (~(X = Y)))), inference(or_elim,[status(thm)],[15])). tff(17,plain, (![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))), inference(and_elim,[status(thm)],[16])). tff(18,plain, (![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))), inference(modus_ponens,[status(thm)],[17, 12])). tff(19,plain,( ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))), inference(skolemize,[status(sab)],[18])). tff(20,plain, (![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))), inference(modus_ponens,[status(thm)],[19, 11])). tff(21,plain, (((~![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))) \| ((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) <=> ((~![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))), inference(rewrite,[status(thm)],[])). tff(22,plain, ((~![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))) \| ((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))), inference(quant_inst,[status(thm)],[])). tff(23,plain, ((~![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2))), inference(modus_ponens,[status(thm)],[22, 21])). tff(24,plain, ($false), inference(unit_resolution,[status(thm)],[23, 20, 9, 7, 5, 3])). tff(25,plain,((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2))), inference(lemma,lemma(discharge,[]))). tff(26,plain, (room(fred) <=> room(fred)), inference(rewrite,[status(thm)],[])). tff(27,plain, (room(fred)), inference(and_elim,[status(thm)],[16])). tff(28,plain, (room(fred)), inference(modus_ponens,[status(thm)],[27, 26])). tff(29,plain, (room(paul) <=> room(paul)), inference(rewrite,[status(thm)],[])). tff(30,plain, (room(paul)), inference(and_elim,[status(thm)],[16])). tff(31,plain, (room(paul)), inference(modus_ponens,[status(thm)],[30, 29])). tff(32,plain, (room(mary) <=> room(mary)), inference(rewrite,[status(thm)],[])). tff(33,plain, (room(mary)), inference(and_elim,[status(thm)],[16])). tff(34,plain, (room(mary)), inference(modus_ponens,[status(thm)],[33, 32])). tff(35,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : ((~like(X, Y)) \| (Y = mary) \| (~like(X, susan)))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : ((~like(X, Y)) \| (Y = mary) \| (~like(X, susan))))), inference(rewrite,[status(thm)],[])). tff(36,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : ((~like(X, Y)) \| (Y = mary) \| (~like(X, susan)))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : ((~like(X, Y)) \| (Y = mary) \| (~like(X, susan))))), inference(rewrite,[status(thm)],[])). tff(37,plain, (^[X: $i, Y: $i] : trans(monotonicity(rewrite((like(X, susan) & (~(Y = mary)) & like(X, Y)) <=> (~((~like(X, Y)) \| (Y = mary) \| (~like(X, susan))))), ((~(like(X, susan) & (~(Y = mary)) & like(X, Y))) <=> (~(~((~like(X, Y)) \| (Y = mary) \| (~like(X, susan))))))), rewrite((~(~((~like(X, Y)) \| (Y = mary) \| (~like(X, susan))))) <=> ((~like(X, Y)) \| (Y = mary) \| (~like(X, susan)))), ((~(like(X, susan) & (~(Y = mary)) & like(X, Y))) <=> ((~like(X, Y)) \| (Y = mary) \| (~like(X, susan)))))), inference(bind,[status(th)],[])). tff(38,plain, (![X: $i, Y: $i] : (~(like(X, susan) & (~(Y = mary)) & like(X, Y))) <=> ![X: $i, Y: $i] : ((~like(X, Y)) \| (Y = mary) \| (~like(X, susan)))), inference(quant_intro,[status(thm)],[37])). tff(39,plain, ((~((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) <=> (~((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2))))), inference(rewrite,[status(thm)],[])). tff(40,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : (~(like(X, susan) & (~(Y = mary)) & like(X, Y)))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : ((~like(X, Y)) \| (Y = mary) \| (~like(X, susan))))), inference(monotonicity,[status(thm)],[39, 38])). tff(41,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : (~(like(X, susan) & (~(Y = mary)) & like(X, Y)))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : ((~like(X, Y)) \| (Y = mary) \| (~like(X, susan))))), inference(transitivity,[status(thm)],[40, 36])). tff(42,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : (~(like(X, susan) & (~(Y = mary)) & like(X, Y)))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : (~(like(X, susan) & (~(Y = mary)) & like(X, Y))))), inference(rewrite,[status(thm)],[])). tff(43,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : (~(like(X, susan) & (~(Y = mary)) & like(X, Y)))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : (~(like(X, susan) & (~(Y = mary)) & like(X, Y))))), inference(monotonicity,[status(thm)],[39])). tff(44,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : (~(like(X, susan) & (~(Y = mary)) & like(X, Y)))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~((X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : (~(like(X, susan) & (~(Y = mary)) & like(X, Y))))), inference(transitivity,[status(thm)],[43, 42])). tff(45,plain, ((room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : (like(X, susan) & (~(Y = mary)) & like(X, Y))) <=> (room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : (like(X, susan) & (~(Y = mary)) & like(X, Y)))), inference(rewrite,[status(thm)],[])). tff(46,plain, ((~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : (like(X, susan) & (~(Y = mary)) & like(X, Y)))) <=> (~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : (like(X, susan) & (~(Y = mary)) & like(X, Y))))), inference(monotonicity,[status(thm)],[45])). tff(47,plain, ((~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : (like(X, susan) & (~(Y = mary)) & like(X, Y)))) <=> (~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : (like(X, susan) & (~(Y = mary)) & like(X, Y))))), inference(rewrite,[status(thm)],[])). tff(48,plain, (~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : (like(X, susan) & (~(Y = mary)) & like(X, Y)))), inference(or_elim,[status(thm)],[15])). tff(49,plain, (~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : (like(X, susan) & (~(Y = mary)) & like(X, Y)))), inference(modus_ponens,[status(thm)],[48, 46])). tff(50,plain, (~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : (like(X, susan) & (~(Y = mary)) & like(X, Y)))), inference(modus_ponens,[status(thm)],[49, 47])). tff(51,plain, (~(room(mary) & room(paul) & room(fred) & ![X: $i] : ((X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : (like(X, susan) & (~(Y = mary)) & like(X, Y)))), inference(modus_ponens,[status(thm)],[50, 46])). unexpected number of arguments: (let ((a!1 (refl (~ (not (room mary)) (not (room mary))))) (a!2 (refl (~ (not (room paul)) (not (room paul))))) (a!3 (refl (~ (not (room fred)) (not (room fred))))) (a!4 (forall ((X $i)) (or (= X \|'fred'\|) (= X \|'paul'\|) (= X \|'mary'\|) (not (room X))))) (a!5 (not (or (= X!2 \|'fred'\|) (= X!2 \|'paul'\|) (= X!2 \|'mary'\|) (not (room X!2))))) (a!6 (lambda ((X $i) (Y $i)) (let ((a!1 (and (like X susan) (not (= Y mary)) (like X Y)))) (refl (~ (not a!1) (not a!1)))))) (a!7 (exists ((X $i) (Y $i)) (and (like X susan) (not (= Y mary)) (like X Y)))) (a!8 (forall ((X $i) (Y $i)) (let ((a!1 (and (like X susan) (not (= Y mary)) (like X Y)))) (not a!1))))) (let ((a!9 (~ (not (and (room mary) (room paul) (room fred) a!4 a!7)) (or (not (room mary)) (not (room paul)) (not (room fred)) a!5 a!8)))) (nnf-neg a!1 a!2 a!3 (sk (~ (not a!4) a!5)) (nnf-neg (proof-bind a!6) (~ (not a!7) a!8)) a!9)))	room(randall)&room(william)&room(carlos)&(![X]:(room(X)=>(X='randall'\|X='william'\|X='carlos')))& ((like(randall,annamarie))& ((?[X,Y]:(room(X)&room(Y)&(like(gloria,X)&like(gloria,Y))&(X!=Y)))))	room(randall)&room(william)&room(carlos)&(![X]:(room(X)=>(X='randall'\|X='william'\|X='carlos')))& (?[X,Y]:((like(X,annamarie))&(Y!=randall)&(like(X,Y))))	neutral	entailment	contradiction
Agnes, Matthew, Robert, Raquel are the only persons in the room. 'Robert is the least tall in the room' unless 'Agnes is a sibling of John'. Agnes is not liked by John and is a sibling of John. Robert plays video games and is liked by Edward. Edward and Agnes like each other.	It is not the case that 'Robert is a client of John or is a sibling of Edward or both'.	neutral	% SZS status Satisfiable	room(agnes)&room(matthew)&room(robert)&room(raquel)&(![X]:(room(X)=>(X='agnes'\|X='matthew'\|X='robert'\|X='raquel')))& ((~(sibling(john,agnes))=>(![X]:(taller(robert,X))))& ((~like(agnes,john))&(sibling(john,agnes)))& ((plays_video_games(robert))&(like(robert,edward)))& ((like(edward,agnes) & like(agnes,edward))))	room(agnes)&room(matthew)&room(robert)&room(raquel)&(![X]:(room(X)=>(X='agnes'\|X='matthew'\|X='robert'\|X='raquel')))& (~(((client(john,robert))\|(sibling(edward,robert)))))	entailment	entailment	entailment
At least one of the following is true:. -Yolanda does not practice calligraphy and is not brave, not creative. -Yolanda either is a rich creative european or is not a brave rich european.	Yolanda who does not practice calligraphy, is not creative.	entailment	% SZS status Unsatisfiable % SZS output start Proof tff(tptp_fun__mary__type, type, ( tptp_fun__mary_: $i)). tff(tptp_fun_X_0_type, type, ( tptp_fun_X_0: $i)). tff(room_type, type, ( room: $i > $o)). tff(creative_type, type, ( creative: $i > $o)). tff(mary_type, type, ( mary: $i)). tff(brave_type, type, ( brave: $i > $o)). tff(predb_type, type, ( predb: $i > $o)). tff(european_type, type, ( european: $i > $o)). tff(rich_type, type, ( rich: $i > $o)). tff(1,plain, ((~creative(mary)) <=> (~creative(mary))), inference(rewrite,[status(thm)],[])). tff(2,plain, ((~(((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & (((~predb(mary)) & ((~brave(mary)) & (~creative(mary)))) \| ((((rich(mary) & creative(mary)) & european(mary)) \| (~((brave(mary) & rich(mary)) & european(mary)))) & (~(((rich(mary) & creative(mary)) & european(mary)) \| (~((brave(mary) & rich(mary)) & european(mary)))))))) => ((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & ((~predb(mary)) & (~creative(mary)))))) <=> (~((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (~predb(mary)) & (~brave(mary)) & (~creative(mary)))) \| (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (~predb(mary)) & (~creative(mary)))))), inference(rewrite,[status(thm)],[])). tff(3,axiom,(~(((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & (((~predb(mary)) & ((~brave(mary)) & (~creative(mary)))) \| ((((rich(mary) & creative(mary)) & european(mary)) \| (~((brave(mary) & rich(mary)) & european(mary)))) & (~(((rich(mary) & creative(mary)) & european(mary)) \| (~((brave(mary) & rich(mary)) & european(mary)))))))) => ((room(mary) & ![X: $i] : (room(X) => (X = \|'mary'\|))) & ((~predb(mary)) & (~creative(mary)))))), file('/mnt/tmpfs//4234247847678052282184060.p','negated')). tff(4,plain, (~((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (~predb(mary)) & (~brave(mary)) & (~creative(mary)))) \| (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (~predb(mary)) & (~creative(mary))))), inference(modus_ponens,[status(thm)],[3, 2])). tff(5,plain, (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (~predb(mary)) & (~brave(mary)) & (~creative(mary))), inference(or_elim,[status(thm)],[4])). tff(6,plain, (~creative(mary)), inference(and_elim,[status(thm)],[5])). tff(7,plain, (~creative(mary)), inference(modus_ponens,[status(thm)],[6, 1])). tff(8,plain, ((~predb(mary)) <=> (~predb(mary))), inference(rewrite,[status(thm)],[])). tff(9,plain, (~predb(mary)), inference(and_elim,[status(thm)],[5])). tff(10,plain, (~predb(mary)), inference(modus_ponens,[status(thm)],[9, 8])). tff(11,plain, (room(mary) <=> room(mary)), inference(rewrite,[status(thm)],[])). tff(12,plain, (room(mary)), inference(and_elim,[status(thm)],[5])). tff(13,plain, (room(mary)), inference(modus_ponens,[status(thm)],[12, 11])). tff(14,plain, (((~room(mary)) \| (~((~room(X!0)) \| (X!0 = \|'mary'\|))) \| predb(mary) \| creative(mary)) <=> (predb(mary) \| creative(mary) \| (~room(mary)) \| (~((~room(X!0)) \| (X!0 = \|'mary'\|))))), inference(rewrite,[status(thm)],[])). tff(15,plain, ((room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (~predb(mary)) & (~creative(mary))) <=> (room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (~predb(mary)) & (~creative(mary)))), inference(rewrite,[status(thm)],[])). tff(16,plain, ((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (~predb(mary)) & (~creative(mary)))) <=> (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (~predb(mary)) & (~creative(mary))))), inference(monotonicity,[status(thm)],[15])). tff(17,plain, ((~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (~predb(mary)) & (~creative(mary)))) <=> (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (~predb(mary)) & (~creative(mary))))), inference(rewrite,[status(thm)],[])). tff(18,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (~predb(mary)) & (~creative(mary)))), inference(or_elim,[status(thm)],[4])). tff(19,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (~predb(mary)) & (~creative(mary)))), inference(modus_ponens,[status(thm)],[18, 16])). tff(20,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (~predb(mary)) & (~creative(mary)))), inference(modus_ponens,[status(thm)],[19, 17])). tff(21,plain, (~(room(mary) & ![X: $i] : ((~room(X)) \| (X = \|'mary'\|)) & (~predb(mary)) & (~creative(mary)))), inference(modus_ponens,[status(thm)],[20, 16])). unexpected number of arguments: (let ((a!1 (refl (~ (not (room mary)) (not (room mary))))) (a!2 (forall ((X $i)) (or (not (room X)) (= X \|'mary'\|)))) (a!3 (not (or (not (room X!0)) (= X!0 \|'mary'\|))))) (let ((a!4 (not (and (room mary) a!2 (not (predb mary)) (not (creative mary)))))) (let ((a!5 (~ a!4 (or (not (room mary)) a!3 (predb mary) (creative mary))))) (nnf-neg a!1 (sk (~ (not a!2) a!3)) (refl (~ (predb mary) (predb mary))) (refl (~ (creative mary) (creative mary))) a!5))))	room(yolanda)&(![X]:(room(X)=>(X='yolanda')))& ((((does_not_practice_calligraphy(yolanda))&(~brave(yolanda)&~creative(yolanda)))\| ((((rich(yolanda)&creative(yolanda)&european(yolanda))\|(~(brave(yolanda)&rich(yolanda)&european(yolanda))))&(~((rich(yolanda)&creative(yolanda)&european(yolanda))\|(~(brave(yolanda)&rich(yolanda)&european(yolanda)))))))))	room(yolanda)&(![X]:(room(X)=>(X='yolanda')))& ((does_not_practice_calligraphy(yolanda))&(~creative(yolanda)))	entailment	neutral	contradiction
Matthew is the only person in the room. Matthew hates Julia and is not a tall european. Matthew is the least tall in the room. Someone in the room who does not hate Julia is not a tall creative brave european. Only one person outside the room is hated by Christopher. Matthew is not creative, not happy or is not a brave happy tourist or both. Julia and Julia hate each other.	Matthew who is a happy tall tourist, is not a creative tall happy tourist.	neutral	% SZS status Satisfiable	room(matthew)&(![X]:(room(X)=>(X='matthew')))& (((hate(julia,matthew))&(~(tall(matthew)&european(matthew))))& (![X]:(taller(matthew,X)))& (?[X]:(room(X)=>(((~hate(julia,X))=>(~(tall(X)&creative(X)&brave(X)&european(X)))))))& (((?[X]:(~room(X)&hate(X,christopher)))&(![X,Y]:((hate(X,christopher)&hate(Y,christopher))=>(X=Y)))))& (((~creative(matthew)&~happy(matthew))\|(~(brave(matthew)&happy(matthew)&tourist(matthew)))))& ((hate(julia,julia) & hate(julia,julia))))	room(matthew)&(![X]:(room(X)=>(X='matthew')))& ((happy(matthew)&tall(matthew)&tourist(matthew))&(~(creative(matthew)&tall(matthew)&happy(matthew)&tourist(matthew))))	contradiction	contradiction	contradiction
Michael, June, Robert, Tiffany are the only persons in the room. If "Tiffany is not creative and is a brave european" then "someone outside the room hates Linda". "Someone outside the room is hated by Linda" if "Tiffany is a quiet european and is a happy rich european" and vice versa. Someone outside the room hates Linda. Tiffany is the least rich in the room. Thersa is quieter than Tiffany. Tiffany who is not hated by Thersa, does not enjoy hiking. Someone outside the room hates Linda.	Robert and Michael are not rich, not quiet, not creative, not brave, not happy.	contradiction	-	room(michael)&room(june)&room(robert)&room(tiffany)&(![X]:(room(X)=>(X='michael'\|X='june'\|X='robert'\|X='tiffany')))& ((((~creative(tiffany))&(brave(tiffany)&european(tiffany)))=>(?[X]:(~room(X)=>(hate(linda,X)))))& (((quiet(tiffany)&european(tiffany))&(happy(tiffany)&rich(tiffany)&european(tiffany)))<=>(?[X]:(~room(X)=>(hate(X,linda)))))& (?[X]:(~room(X)=>(hate(linda,X))))& (![X]:(richer(tiffany,X)))& (quieter(tiffany,thersa))& ((~hate(tiffany,thersa))&(does_not_enjoy_hiking(tiffany)))& (?[X]:(~room(X)=>(hate(linda,X)))))	room(michael)&room(june)&room(robert)&room(tiffany)&(![X]:(room(X)=>(X='michael'\|X='june'\|X='robert'\|X='tiffany')))& (~rich(robert)&~quiet(robert)&~creative(robert)&~brave(robert)&~happy(robert)&~rich(michael)&~quiet(michael)&~creative(michael)&~brave(michael)&~happy(michael))	contradiction	neutral	neutral
Brenda, Esteban, Beth are the only persons in the room. “Brenda and Heather hate each other” if “Esteban is not tall or is not hated by Heather or both” and vice versa. “Esteban who hates Joseph, is hated by Anna” only if “Joseph and Esteban hate each other”. “Esteban who is hated by Heather, is hated by Laura” unless “Joseph and Brenda hate each other”. “Esteban and Beth are respectively tall and brave” only if “someone who does not hate Heather is taller than someone who is a client of Google”. Esteban is hated by Heather or is not hated by Joseph or both. More than one person outside the room is not Beth. Beth is not brave. Beth hates Laura. Brenda is hated by Anna or is not a tall european or both. Esteban neither hates Heather nor is not brave.	Brenda who is not a rich tall person, is hated by Joseph.	neutral	% SZS status Satisfiable	room(brenda)&room(esteban)&room(beth)&(![X]:(room(X)=>(X='brenda'\|X='esteban'\|X='beth')))& (((((~tall(esteban))\|(~hate(esteban,heather))))<=>((hate(brenda,heather) & hate(heather,brenda))))& (((hate(joseph,esteban))&(hate(esteban,anna)))=>((hate(joseph,esteban) & hate(esteban,joseph))))& (~((hate(joseph,brenda) & hate(brenda,joseph)))=>((hate(esteban,heather))&(hate(esteban,laura))))& (((tall(esteban))&(brave(beth)))=>(?[X,Y]:((~hate(heather,X))&(is_a_client_of_Google(Y))&(taller(X,Y)))))& (((hate(esteban,heather))\|(~hate(esteban,joseph))))& ((?[X,Y]:(~room(X)&~room(Y)&(X!=beth&Y!=beth)&(X!=Y))))& (~brave(beth))& (hate(laura,beth))& (((hate(brenda,anna))\|(~(tall(brenda)&european(brenda)))))& (~((hate(heather,esteban))\|(~brave(esteban)))))	room(brenda)&room(esteban)&room(beth)&(![X]:(room(X)=>(X='brenda'\|X='esteban'\|X='beth')))& ((~(rich(brenda)&tall(brenda)&person(brenda)))&(hate(brenda,joseph)))	neutral	contradiction	contradiction
Matthew, Don are the only persons in the room. If “Don is the tallest in the room” then “Don neither is not a tall rich quiet european nor is not an amateur astronomer” otherwise “Don is the least tall in the room”. “Don is not liked by Jane” unless “someone who is liked by Marjorie is taller than someone who is not a rich tall quiet european”. “Only one person in the room does not own a microscope” if “Marjorie and Robert like each other” and vice versa. Don is the least rich in the room. Robert is a client of Don. Don is the tallest in the room. Don is the least quiet in the room. Marjorie and Jane like each other. Don is a rich quiet person and does not like Robert.	It is not the case that 'Don is a rich quiet person or is not a creative person or both'.	contradiction	-	room(matthew)&room(don)&(![X]:(room(X)=>(X='matthew'\|X='don')))& ((((![X]:(taller(X,don)))=>(~((~(tall(don)&rich(don)&quiet(don)&european(don)))\|(is_not_an_amateur_astronomer(don)))))\|((~(![X]:(taller(X,don))))=>(![X]:(taller(don,X)))))& (~(?[X,Y]:((like(X,marjorie))&(~(rich(Y)&tall(Y)&quiet(Y)&european(Y)))&(taller(X,Y))))=>(~like(don,jane)))& (((like(marjorie,robert) & like(robert,marjorie)))<=>(((?[X]:(room(X)&does_not_own_a_microscope(X)))&(![X,Y]:((does_not_own_a_microscope(X)&does_not_own_a_microscope(Y))=>(X=Y))))))& (![X]:(richer(don,X)))& (client(don,robert))& (![X]:(taller(X,don)))& (![X]:(quieter(don,X)))& ((like(marjorie,jane) & like(jane,marjorie)))& ((rich(don)&quiet(don)&person(don))&(~like(robert,don))))	room(matthew)&room(don)&(![X]:(room(X)=>(X='matthew'\|X='don')))& (~(((rich(don)&quiet(don)&person(don))\|(~(creative(don)&person(don))))))	entailment	entailment	contradiction
Deann, Albert, Nina, Lori are the only persons in the room. Albert is quieter than Traci and is a happy european. Albert who is not liked by Traci, does not hate Traci. Everyone outside the room who does not play a musical instrument hates Traci. Traci is a sibling of Albert. Albert is not creative and plays a musical instrument.	Albert neither is not quiet, not happy nor is a creative quiet tall person.	entailment	% SZS status Unsatisfiable % SZS output start Proof tff(room_type, type, ( room: $i > $o)). tff(tptp_fun_X_0_type, type, ( tptp_fun_X_0: $i)). tff(tptp_fun__mary__type, type, ( tptp_fun__mary_: $i)). tff(tptp_fun__paul__type, type, ( tptp_fun__paul_: $i)). tff(tptp_fun__fred__type, type, ( tptp_fun__fred_: $i)). tff(tptp_fun__alice__type, type, ( tptp_fun__alice_: $i)). tff(person_type, type, ( person: $i > $o)). tff(paul_type, type, ( paul: $i)). tff(tall_type, type, ( tall: $i > $o)). tff(quiet_type, type, ( quiet: $i > $o)). tff(creative_type, type, ( creative: $i > $o)). tff(preda_type, type, ( preda: $i > $o)). tff(sibling_type, type, ( sibling: ( $i * $i ) > $o)). tff(lucy_type, type, ( lucy: $i)). tff(hate_type, type, ( hate: ( $i * $i ) > $o)). tff(like_type, type, ( like: ( $i * $i ) > $o)). tff(european_type, type, ( european: $i > $o)). tff(happy_type, type, ( happy: $i > $o)). tff(quieter_type, type, ( quieter: ( $i * $i ) > $o)). tff(alice_type, type, ( alice: $i)). tff(fred_type, type, ( fred: $i)). tff(mary_type, type, ( mary: $i)). tff(1,plain, ((~creative(paul)) <=> (~creative(paul))), inference(rewrite,[status(thm)],[])). tff(2,plain, ((~((((((room(mary) & room(paul)) & room(fred)) & room(alice)) & ![X: $i] : (room(X) => ((((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)) \| (X = \|'alice'\|)))) & (((((quieter(lucy, paul) & (happy(paul) & european(paul))) & ((~like(paul, lucy)) & (~hate(lucy, paul)))) & ![X: $i] : ((~room(X)) => ((~preda(X)) => hate(lucy, X)))) & sibling(paul, lucy)) & ((~creative(paul)) & preda(paul)))) => (((((room(mary) & room(paul)) & room(fred)) & room(alice)) & ![X: $i] : (room(X) => ((((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)) \| (X = \|'alice'\|)))) & (~(((~quiet(paul)) & (~happy(paul))) \| (((creative(paul) & quiet(paul)) & tall(paul)) & person(paul))))))) <=> (~((~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & quieter(lucy, paul) & happy(paul) & european(paul) & (~like(paul, lucy)) & (~hate(lucy, paul)) & ![X: $i] : (room(X) \| hate(lucy, X) \| preda(X)) & sibling(paul, lucy) & (~creative(paul)) & preda(paul))) \| (room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & (~(((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul)))))))), inference(rewrite,[status(thm)],[])). tff(3,axiom,(~((((((room(mary) & room(paul)) & room(fred)) & room(alice)) & ![X: $i] : (room(X) => ((((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)) \| (X = \|'alice'\|)))) & (((((quieter(lucy, paul) & (happy(paul) & european(paul))) & ((~like(paul, lucy)) & (~hate(lucy, paul)))) & ![X: $i] : ((~room(X)) => ((~preda(X)) => hate(lucy, X)))) & sibling(paul, lucy)) & ((~creative(paul)) & preda(paul)))) => (((((room(mary) & room(paul)) & room(fred)) & room(alice)) & ![X: $i] : (room(X) => ((((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)) \| (X = \|'alice'\|)))) & (~(((~quiet(paul)) & (~happy(paul))) \| (((creative(paul) & quiet(paul)) & tall(paul)) & person(paul))))))), file('/mnt/tmpfs//5050607963222448738464507.p','negated')). tff(4,plain, (~((~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & quieter(lucy, paul) & happy(paul) & european(paul) & (~like(paul, lucy)) & (~hate(lucy, paul)) & ![X: $i] : (room(X) \| hate(lucy, X) \| preda(X)) & sibling(paul, lucy) & (~creative(paul)) & preda(paul))) \| (room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & (~(((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul))))))), inference(modus_ponens,[status(thm)],[3, 2])). tff(5,plain, (room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & quieter(lucy, paul) & happy(paul) & european(paul) & (~like(paul, lucy)) & (~hate(lucy, paul)) & ![X: $i] : (room(X) \| hate(lucy, X) \| preda(X)) & sibling(paul, lucy) & (~creative(paul)) & preda(paul)), inference(or_elim,[status(thm)],[4])). tff(6,plain, (~creative(paul)), inference(and_elim,[status(thm)],[5])). tff(7,plain, (~creative(paul)), inference(modus_ponens,[status(thm)],[6, 1])). tff(8,plain, (((~creative(paul)) \| (~quiet(paul)) \| (~tall(paul)) \| (~person(paul))) \| creative(paul)), inference(tautology,[status(thm)],[])). tff(9,plain, ((~creative(paul)) \| (~quiet(paul)) \| (~tall(paul)) \| (~person(paul))), inference(unit_resolution,[status(thm)],[8, 7])). tff(10,plain, (happy(paul) <=> happy(paul)), inference(rewrite,[status(thm)],[])). tff(11,plain, (happy(paul)), inference(and_elim,[status(thm)],[5])). tff(12,plain, (happy(paul)), inference(modus_ponens,[status(thm)],[11, 10])). tff(13,plain, ((happy(paul) \| quiet(paul)) \| (~happy(paul))), inference(tautology,[status(thm)],[])). tff(14,plain, (happy(paul) \| quiet(paul)), inference(unit_resolution,[status(thm)],[13, 12])). tff(15,plain, (room(alice) <=> room(alice)), inference(rewrite,[status(thm)],[])). tff(16,plain, (room(alice)), inference(and_elim,[status(thm)],[5])). tff(17,plain, (room(alice)), inference(modus_ponens,[status(thm)],[16, 15])). tff(18,plain, (room(fred) <=> room(fred)), inference(rewrite,[status(thm)],[])). tff(19,plain, (room(fred)), inference(and_elim,[status(thm)],[5])). tff(20,plain, (room(fred)), inference(modus_ponens,[status(thm)],[19, 18])). tff(21,plain, (room(paul) <=> room(paul)), inference(rewrite,[status(thm)],[])). tff(22,plain, (room(paul)), inference(and_elim,[status(thm)],[5])). tff(23,plain, (room(paul)), inference(modus_ponens,[status(thm)],[22, 21])). tff(24,plain, (room(mary) <=> room(mary)), inference(rewrite,[status(thm)],[])). tff(25,plain, (room(mary)), inference(and_elim,[status(thm)],[5])). tff(26,plain, (room(mary)), inference(modus_ponens,[status(thm)],[25, 24])). tff(27,plain, (((~(happy(paul) \| quiet(paul))) \| (~((~creative(paul)) \| (~quiet(paul)) \| (~tall(paul)) \| (~person(paul)))) \| (~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!0 = \|'alice'\|) \| (X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0))))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!0 = \|'alice'\|) \| (X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0)))) \| (~(happy(paul) \| quiet(paul))) \| (~((~creative(paul)) \| (~quiet(paul)) \| (~tall(paul)) \| (~person(paul)))))), inference(rewrite,[status(thm)],[])). tff(28,plain, ((~((X!0 = \|'alice'\|) \| (X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0)))) <=> (~((X!0 = \|'alice'\|) \| (X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0))))), inference(rewrite,[status(thm)],[])). tff(29,plain, ((creative(paul) & quiet(paul) & tall(paul) & person(paul)) <=> (~((~creative(paul)) \| (~quiet(paul)) \| (~tall(paul)) \| (~person(paul))))), inference(rewrite,[status(thm)],[])). tff(30,plain, (((~quiet(paul)) & (~happy(paul))) <=> (~(happy(paul) \| quiet(paul)))), inference(rewrite,[status(thm)],[])). tff(31,plain, ((((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul)) \| (~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!0 = \|'alice'\|) \| (X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0))))) <=> ((~(happy(paul) \| quiet(paul))) \| (~((~creative(paul)) \| (~quiet(paul)) \| (~tall(paul)) \| (~person(paul)))) \| (~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!0 = \|'alice'\|) \| (X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0)))))), inference(monotonicity,[status(thm)],[30, 29, 28])). tff(32,plain, ((((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul)) \| (~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!0 = \|'alice'\|) \| (X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0))))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!0 = \|'alice'\|) \| (X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0)))) \| (~(happy(paul) \| quiet(paul))) \| (~((~creative(paul)) \| (~quiet(paul)) \| (~tall(paul)) \| (~person(paul)))))), inference(transitivity,[status(thm)],[31, 27])). tff(33,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!0 = \|'alice'\|) \| (X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0)))) \| (((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul)))) <=> (((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul)) \| (~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!0 = \|'alice'\|) \| (X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0)))))), inference(rewrite,[status(thm)],[])). tff(34,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!0 = \|'alice'\|) \| (X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0)))) \| (((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul)))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!0 = \|'alice'\|) \| (X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0)))) \| (((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul))))), inference(monotonicity,[status(thm)],[28])). tff(35,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!0 = \|'alice'\|) \| (X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0)))) \| (((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul)))) <=> (((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul)) \| (~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!0 = \|'alice'\|) \| (X!0 = \|'fred'\|) \| (X!0 = \|'paul'\|) \| (X!0 = \|'mary'\|) \| (~room(X!0)))))), inference(transitivity,[status(thm)],[34, 33])). tff(36,plain, ((room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & (~(((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul))))) <=> (room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & (~(((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul)))))), inference(rewrite,[status(thm)],[])). tff(37,plain, ((~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & (~(((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul)))))) <=> (~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & (~(((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul))))))), inference(monotonicity,[status(thm)],[36])). tff(38,plain, ((~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & (~(((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul)))))) <=> (~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & (~(((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul))))))), inference(rewrite,[status(thm)],[])). tff(39,plain, (~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & (~(((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul)))))), inference(or_elim,[status(thm)],[4])). tff(40,plain, (~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & (~(((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul)))))), inference(modus_ponens,[status(thm)],[39, 37])). tff(41,plain, (~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & (~(((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul)))))), inference(modus_ponens,[status(thm)],[40, 38])). tff(42,plain, (~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & (~(((~quiet(paul)) & (~happy(paul))) \| (creative(paul) & quiet(paul) & tall(paul) & person(paul)))))), inference(modus_ponens,[status(thm)],[41, 37])). unexpected number of arguments: (let ((a!1 (refl (~ (not (room mary)) (not (room mary))))) (a!2 (refl (~ (not (room paul)) (not (room paul))))) (a!3 (refl (~ (not (room fred)) (not (room fred))))) (a!4 (refl (~ (not (room alice)) (not (room alice))))) (a!5 (forall ((X $i)) (or (= X \|'alice'\|) (= X \|'fred'\|) (= X \|'paul'\|) (= X \|'mary'\|) (not (room X))))) (a!6 (not (or (= X!0 \|'alice'\|) (= X!0 \|'fred'\|) (= X!0 \|'paul'\|) (= X!0 \|'mary'\|) (not (room X!0))))) (a!7 (or (and (not (quiet paul)) (not (happy paul))) (and (creative paul) (quiet paul) (tall paul) (person paul))))) (let ((a!8 (~ (not (and (room mary) (room paul) (room fred) (room alice) a!5 (not a!7))) (or (not (room mary)) (not (room paul)) (not (room fred)) (not (room alice)) a!6 a!7)))) (nnf-neg a!1 a!2 a!3 a!4 (sk (~ (not a!5) a!6)) (refl (~ a!7 a!7)) a!8)))	room(deann)&room(albert)&room(nina)&room(lori)&(![X]:(room(X)=>(X='deann'\|X='albert'\|X='nina'\|X='lori')))& (((quieter(traci,albert))&(happy(albert)&european(albert)))& ((~like(albert,traci))&(~hate(traci,albert)))& (![X]:(~room(X)=>(((does_not_play_a_musical_instrument(X))=>(hate(traci,X))))))& (sibling(albert,traci))& ((~creative(albert))&(plays_a_musical_instrument(albert))))	room(deann)&room(albert)&room(nina)&room(lori)&(![X]:(room(X)=>(X='deann'\|X='albert'\|X='nina'\|X='lori')))& (~((~quiet(albert)&~happy(albert))\|(creative(albert)&quiet(albert)&tall(albert)&person(albert))))	neutral	contradiction	neutral
Betty, Ricardo, Eric, Donald are the only persons in the room. Donald is the richest in the room. Betty plays a string instrument and is a sibling of Essie. Betty is not hated by Essie or is a client of Essie or both. Donald is not rich, not creative and likes Essie. Someone outside the room who is a client of Essie plays a string instrument. Betty is hated by Essie. Someone outside the room who is a creative european is not a creative rich tourist.	Someone who is not a tall rich quiet brave person is a client of someone who is not Ricardo.	entailment	% SZS status Unsatisfiable % SZS output start Proof tff(richer_type, type, ( richer: ( $i * $i ) > $o)). tff(alice_type, type, ( alice: $i)). tff(lucy_type, type, ( lucy: $i)). tff(rich_type, type, ( rich: $i > $o)). tff(person_type, type, ( person: $i > $o)). tff(brave_type, type, ( brave: $i > $o)). tff(quiet_type, type, ( quiet: $i > $o)). tff(tall_type, type, ( tall: $i > $o)). tff(client_type, type, ( client: ( $i * $i ) > $o)). tff(paul_type, type, ( paul: $i)). tff(room_type, type, ( room: $i > $o)). tff(tptp_fun_X_2_type, type, ( tptp_fun_X_2: $i)). tff(tptp_fun__mary__type, type, ( tptp_fun__mary_: $i)). tff(tptp_fun__paul__type, type, ( tptp_fun__paul_: $i)). tff(tptp_fun__fred__type, type, ( tptp_fun__fred_: $i)). tff(tptp_fun__alice__type, type, ( tptp_fun__alice_: $i)). tff(european_type, type, ( european: $i > $o)). tff(creative_type, type, ( creative: $i > $o)). tff(tourist_type, type, ( tourist: $i > $o)). tff(hate_type, type, ( hate: ( $i * $i ) > $o)). tff(mary_type, type, ( mary: $i)). tff(predb_type, type, ( predb: $i > $o)). tff(like_type, type, ( like: ( $i * $i ) > $o)). tff(sibling_type, type, ( sibling: ( $i * $i ) > $o)). tff(fred_type, type, ( fred: $i)). tff(john_type, type, ( john: $i)). tff(susan_type, type, ( susan: $i)). tff(1,assumption,(~((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))), introduced(assumption)). tff(2,plain, (((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2))) \| room(X!2)), inference(tautology,[status(thm)],[])). tff(3,plain, (room(X!2)), inference(unit_resolution,[status(thm)],[2, 1])). tff(4,plain, (((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2))) \| (~(X!2 = \|'mary'\|))), inference(tautology,[status(thm)],[])). tff(5,plain, (~(X!2 = \|'mary'\|)), inference(unit_resolution,[status(thm)],[4, 1])). tff(6,plain, (((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2))) \| (~(X!2 = \|'paul'\|))), inference(tautology,[status(thm)],[])). tff(7,plain, (~(X!2 = \|'paul'\|)), inference(unit_resolution,[status(thm)],[6, 1])). tff(8,plain, (((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2))) \| (~(X!2 = \|'fred'\|))), inference(tautology,[status(thm)],[])). tff(9,plain, (~(X!2 = \|'fred'\|)), inference(unit_resolution,[status(thm)],[8, 1])). tff(10,plain, (((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2))) \| (~(X!2 = \|'alice'\|))), inference(tautology,[status(thm)],[])). tff(11,plain, (~(X!2 = \|'alice'\|)), inference(unit_resolution,[status(thm)],[10, 1])). tff(12,plain, (^[X: $i] : refl(((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) <=> ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))))), inference(bind,[status(th)],[])). tff(13,plain, (![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) <=> ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))), inference(quant_intro,[status(thm)],[12])). tff(14,plain, (![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) <=> ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))), inference(rewrite,[status(thm)],[])). tff(15,plain, ((~((((((room(mary) & room(paul)) & room(fred)) & room(alice)) & ![X: $i] : (room(X) => ((((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)) \| (X = \|'alice'\|)))) & ((((((![X: $i] : richer(X, alice) & (predb(mary) & sibling(lucy, mary))) & ((~hate(mary, lucy)) \| client(lucy, mary))) & (((~rich(alice)) & (~creative(alice))) & like(lucy, alice))) & ?[X: $i] : ((~room(X)) => (client(lucy, X) => predb(X)))) & hate(mary, lucy)) & ?[X: $i] : ((~room(X)) => ((creative(X) & european(X)) => (~((creative(X) & rich(X)) & tourist(X))))))) => (((((room(mary) & room(paul)) & room(fred)) & room(alice)) & ![X: $i] : (room(X) => ((((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)) \| (X = \|'alice'\|)))) & ?[X: $i, Y: $i] : (((~((((tall(X) & rich(X)) & quiet(X)) & brave(X)) & person(X))) & (~(Y = paul))) & client(X, Y))))) <=> (~((~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ![X: $i] : richer(X, alice) & predb(mary) & sibling(lucy, mary) & ((~hate(mary, lucy)) \| client(lucy, mary)) & (~rich(alice)) & (~creative(alice)) & like(lucy, alice) & ?[X: $i] : (room(X) \| predb(X) \| (~client(lucy, X))) & hate(mary, lucy) & ?[X: $i] : (room(X) \| (~(creative(X) & rich(X) & tourist(X))) \| (~(creative(X) & european(X)))))) \| (room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : ((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y)))))), inference(rewrite,[status(thm)],[])). tff(16,axiom,(~((((((room(mary) & room(paul)) & room(fred)) & room(alice)) & ![X: $i] : (room(X) => ((((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)) \| (X = \|'alice'\|)))) & ((((((![X: $i] : richer(X, alice) & (predb(mary) & sibling(lucy, mary))) & ((~hate(mary, lucy)) \| client(lucy, mary))) & (((~rich(alice)) & (~creative(alice))) & like(lucy, alice))) & ?[X: $i] : ((~room(X)) => (client(lucy, X) => predb(X)))) & hate(mary, lucy)) & ?[X: $i] : ((~room(X)) => ((creative(X) & european(X)) => (~((creative(X) & rich(X)) & tourist(X))))))) => (((((room(mary) & room(paul)) & room(fred)) & room(alice)) & ![X: $i] : (room(X) => ((((X = \|'mary'\|) \| (X = \|'paul'\|)) \| (X = \|'fred'\|)) \| (X = \|'alice'\|)))) & ?[X: $i, Y: $i] : (((~((((tall(X) & rich(X)) & quiet(X)) & brave(X)) & person(X))) & (~(Y = paul))) & client(X, Y))))), file('/mnt/tmpfs//594003562760700312754394.p','negated')). tff(17,plain, (~((~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ![X: $i] : richer(X, alice) & predb(mary) & sibling(lucy, mary) & ((~hate(mary, lucy)) \| client(lucy, mary)) & (~rich(alice)) & (~creative(alice)) & like(lucy, alice) & ?[X: $i] : (room(X) \| predb(X) \| (~client(lucy, X))) & hate(mary, lucy) & ?[X: $i] : (room(X) \| (~(creative(X) & rich(X) & tourist(X))) \| (~(creative(X) & european(X)))))) \| (room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : ((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y))))), inference(modus_ponens,[status(thm)],[16, 15])). tff(18,plain, (room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ![X: $i] : richer(X, alice) & predb(mary) & sibling(lucy, mary) & ((~hate(mary, lucy)) \| client(lucy, mary)) & (~rich(alice)) & (~creative(alice)) & like(lucy, alice) & ?[X: $i] : (room(X) \| predb(X) \| (~client(lucy, X))) & hate(mary, lucy) & ?[X: $i] : (room(X) \| (~(creative(X) & rich(X) & tourist(X))) \| (~(creative(X) & european(X))))), inference(or_elim,[status(thm)],[17])). tff(19,plain, (![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))), inference(and_elim,[status(thm)],[18])). tff(20,plain, (![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))), inference(modus_ponens,[status(thm)],[19, 14])). tff(21,plain,( ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))), inference(skolemize,[status(sab)],[20])). tff(22,plain, (![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))), inference(modus_ponens,[status(thm)],[21, 13])). tff(23,plain, (((~![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))) \| ((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) <=> ((~![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))) \| (X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))), inference(rewrite,[status(thm)],[])). tff(24,plain, ((~![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))) \| ((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))), inference(quant_inst,[status(thm)],[])). tff(25,plain, ((~![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X)))) \| (X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2))), inference(modus_ponens,[status(thm)],[24, 23])). tff(26,plain, ($false), inference(unit_resolution,[status(thm)],[25, 22, 11, 9, 7, 5, 3])). tff(27,plain,((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2))), inference(lemma,lemma(discharge,[]))). tff(28,plain, (room(alice) <=> room(alice)), inference(rewrite,[status(thm)],[])). tff(29,plain, (room(alice)), inference(and_elim,[status(thm)],[18])). tff(30,plain, (room(alice)), inference(modus_ponens,[status(thm)],[29, 28])). tff(31,plain, (room(fred) <=> room(fred)), inference(rewrite,[status(thm)],[])). tff(32,plain, (room(fred)), inference(and_elim,[status(thm)],[18])). tff(33,plain, (room(fred)), inference(modus_ponens,[status(thm)],[32, 31])). tff(34,plain, (room(paul) <=> room(paul)), inference(rewrite,[status(thm)],[])). tff(35,plain, (room(paul)), inference(and_elim,[status(thm)],[18])). tff(36,plain, (room(paul)), inference(modus_ponens,[status(thm)],[35, 34])). tff(37,plain, (room(mary) <=> room(mary)), inference(rewrite,[status(thm)],[])). tff(38,plain, (room(mary)), inference(and_elim,[status(thm)],[18])). tff(39,plain, (room(mary)), inference(modus_ponens,[status(thm)],[38, 37])). tff(40,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : ((Y = paul) \| (~((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X)))) \| (~client(X, Y)))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : ((Y = paul) \| (~((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X)))) \| (~client(X, Y))))), inference(rewrite,[status(thm)],[])). tff(41,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : ((Y = paul) \| (~((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X)))) \| (~client(X, Y)))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : ((Y = paul) \| (~((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X)))) \| (~client(X, Y))))), inference(rewrite,[status(thm)],[])). tff(42,plain, (^[X: $i, Y: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((tall(X) & rich(X) & quiet(X) & brave(X) & person(X)) <=> (~((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X))))), ((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) <=> (~(~((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X))))))), rewrite((~(~((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X))))) <=> ((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X)))), ((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) <=> ((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X))))), (((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y)) <=> (((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X))) & (~(Y = paul)) & client(X, Y)))), rewrite((((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X))) & (~(Y = paul)) & client(X, Y)) <=> (~((Y = paul) \| (~((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X)))) \| (~client(X, Y))))), (((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y)) <=> (~((Y = paul) \| (~((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X)))) \| (~client(X, Y)))))), ((~((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y))) <=> (~(~((Y = paul) \| (~((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X)))) \| (~client(X, Y))))))), rewrite((~(~((Y = paul) \| (~((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X)))) \| (~client(X, Y))))) <=> ((Y = paul) \| (~((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X)))) \| (~client(X, Y)))), ((~((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y))) <=> ((Y = paul) \| (~((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X)))) \| (~client(X, Y)))))), inference(bind,[status(th)],[])). tff(43,plain, (![X: $i, Y: $i] : (~((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y))) <=> ![X: $i, Y: $i] : ((Y = paul) \| (~((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X)))) \| (~client(X, Y)))), inference(quant_intro,[status(thm)],[42])). tff(44,plain, ((~((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) <=> (~((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2))))), inference(rewrite,[status(thm)],[])). tff(45,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : (~((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y)))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : ((Y = paul) \| (~((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X)))) \| (~client(X, Y))))), inference(monotonicity,[status(thm)],[44, 43])). tff(46,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : (~((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y)))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : ((Y = paul) \| (~((~rich(X)) \| (~tall(X)) \| (~quiet(X)) \| (~brave(X)) \| (~person(X)))) \| (~client(X, Y))))), inference(transitivity,[status(thm)],[45, 41])). tff(47,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : (~((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y)))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : (~((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y))))), inference(rewrite,[status(thm)],[])). tff(48,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : (~((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y)))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : (~((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y))))), inference(monotonicity,[status(thm)],[44])). tff(49,plain, (((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : (~((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y)))) <=> ((~room(mary)) \| (~room(paul)) \| (~room(fred)) \| (~room(alice)) \| (~((X!2 = \|'alice'\|) \| (X!2 = \|'fred'\|) \| (X!2 = \|'paul'\|) \| (X!2 = \|'mary'\|) \| (~room(X!2)))) \| ![X: $i, Y: $i] : (~((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y))))), inference(transitivity,[status(thm)],[48, 47])). tff(50,plain, ((room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : ((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y))) <=> (room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : ((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y)))), inference(rewrite,[status(thm)],[])). tff(51,plain, ((~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : ((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y)))) <=> (~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : ((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y))))), inference(monotonicity,[status(thm)],[50])). tff(52,plain, ((~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : ((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y)))) <=> (~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : ((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y))))), inference(rewrite,[status(thm)],[])). tff(53,plain, (~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : ((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y)))), inference(or_elim,[status(thm)],[17])). tff(54,plain, (~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : ((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y)))), inference(modus_ponens,[status(thm)],[53, 51])). tff(55,plain, (~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : ((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y)))), inference(modus_ponens,[status(thm)],[54, 52])). tff(56,plain, (~(room(mary) & room(paul) & room(fred) & room(alice) & ![X: $i] : ((X = \|'alice'\|) \| (X = \|'fred'\|) \| (X = \|'paul'\|) \| (X = \|'mary'\|) \| (~room(X))) & ?[X: $i, Y: $i] : ((~(tall(X) & rich(X) & quiet(X) & brave(X) & person(X))) & (~(Y = paul)) & client(X, Y)))), inference(modus_ponens,[status(thm)],[55, 51])). unexpected number of arguments: (let ((a!1 (refl (~ (not (room mary)) (not (room mary))))) (a!2 (refl (~ (not (room paul)) (not (room paul))))) (a!3 (refl (~ (not (room fred)) (not (room fred))))) (a!4 (refl (~ (not (room alice)) (not (room alice))))) (a!5 (forall ((X $i)) (or (= X \|'alice'\|) (= X \|'fred'\|) (= X \|'paul'\|) (= X \|'mary'\|) (not (room X))))) (a!6 (not (or (= X!2 \|'alice'\|) (= X!2 \|'fred'\|) (= X!2 \|'paul'\|) (= X!2 \|'mary'\|) (not (room X!2))))) (a!7 (lambda ((X $i) (Y $i)) (let ((a!1 (and (not (and (tall X) (rich X) (quiet X) (brave X) (person X))) (not (= Y paul)) (client X Y)))) (refl (~ (not a!1) (not a!1)))))) (a!8 (exists ((X $i) (Y $i)) (and (not (and (tall X) (rich X) (quiet X) (brave X) (person X))) (not (= Y paul)) (client X Y)))) (a!9 (forall ((X $i) (Y $i)) (let ((a!1 (and (not (and (tall X) (rich X) (quiet X) (brave X) (person X))) (not (= Y paul)) (client X Y)))) (not a!1))))) (let ((a!10 (~ (not (and (room mary) (room paul) (room fred) (room alice) a!5 a!8)) (or (not (room mary)) (not (room paul)) (not (room fred)) (not (room alice)) a!6 a!9)))) (nnf-neg a!1 a!2 a!3 a!4 (sk (~ (not a!5) a!6)) (nnf-neg (proof-bind a!7) (~ (not a!8) a!9)) a!10)))	room(betty)&room(ricardo)&room(eric)&room(donald)&(![X]:(room(X)=>(X='betty'\|X='ricardo'\|X='eric'\|X='donald')))& ((![X]:(richer(X,donald)))& ((plays_a_string_instrument(betty))&(sibling(essie,betty)))& (((~hate(betty,essie))\|(client(essie,betty))))& ((~rich(donald)&~creative(donald))&(like(essie,donald)))& (?[X]:(~room(X)=>(((client(essie,X))=>(plays_a_string_instrument(X))))))& (hate(betty,essie))& (?[X]:(~room(X)=>(((creative(X)&european(X))=>(~(creative(X)&rich(X)&tourist(X))))))))	room(betty)&room(ricardo)&room(eric)&room(donald)&(![X]:(room(X)=>(X='betty'\|X='ricardo'\|X='eric'\|X='donald')))& (?[X,Y]:((~(tall(X)&rich(X)&quiet(X)&brave(X)&person(X)))&(Y!=ricardo)&(client(X,Y))))	contradiction	neutral	entailment
Ginger, Jan are the only persons in the room. "Steve is richer than Jan" if "Jan bakes bread at home". "Ginger is the least rich in the room" if "Ginger is the quietest in the room". Ginger is the least rich in the room. Jan is liked by Julie or is not liked by Julie or both. More than one person outside the room is not a quiet rich happy tall tourist. More than one person outside the room is a client of Steve. It is not the case that 'Steve is richer than Jan'. Jan is liked by Julie or is taller than Julie or both.	Jan neither is not a tall creative happy quiet tourist nor does not bake bread at home.	contradiction	-	room(ginger)&room(jan)&(![X]:(room(X)=>(X='ginger'\|X='jan')))& (((bakes_bread_at_home(jan))=>(richer(jan,steve)))& ((![X]:(quieter(X,ginger)))=>(![X]:(richer(ginger,X))))& (![X]:(richer(ginger,X)))& (((like(jan,julie))\|(~like(jan,julie))))& ((?[X,Y]:(~room(X)&~room(Y)&(~(quiet(X)&rich(X)&happy(X)&tall(X)&tourist(X))&~(quiet(Y)&rich(Y)&happy(Y)&tall(Y)&tourist(Y)))&(X!=Y))))& ((?[X,Y]:(~room(X)&~room(Y)&(client(steve,X)&client(steve,Y))&(X!=Y))))& (~(richer(jan,steve)))& (((like(jan,julie))\|(taller(julie,jan)))))	room(ginger)&room(jan)&(![X]:(room(X)=>(X='ginger'\|X='jan')))& (~((~(tall(jan)&creative(jan)&happy(jan)&quiet(jan)&tourist(jan)))\|(does_not_bake_bread_at_home(jan))))	contradiction	neutral	neutral
Curtis, William, Mia, Robert are the only persons in the room. William who is hated by Carroll, is not hated by Curtis. Robert is the quietest in the room. It is not the case that 'it is not the case that 'it is not the case that 'Mia is a rich brave european or is not a rich happy person or both'''. Robert and William are respectively quiet and rich. Curtis who does not hate Curtis, does not hate Carroll. Mia and Curtis are not brave, not quiet. Someone in the room is not a brave european. Curtis who is hated by Carroll, is richer than Curtis. Only one person in the room is quieter than Curtis.	William who is quieter than Curtis, is richer than Curtis.	contradiction	-	room(curtis)&room(william)&room(mia)&room(robert)&(![X]:(room(X)=>(X='curtis'\|X='william'\|X='mia'\|X='robert')))& (((hate(william,carroll))&(~hate(william,curtis)))& (![X]:(quieter(X,robert)))& (~(~(~(((rich(mia)&brave(mia)&european(mia))\|(~(rich(mia)&happy(mia)&person(mia))))))))& ((quiet(robert))&(rich(william)))& ((~hate(curtis,curtis))&(~hate(carroll,curtis)))& (~brave(mia)&~quiet(mia)&~brave(curtis)&~quiet(curtis))& (?[X]:(room(X)=>(~(brave(X)&european(X)))))& ((hate(curtis,carroll))&(richer(curtis,curtis)))& (((?[X]:(room(X)&quieter(curtis,X)))&(![X,Y]:((quieter(curtis,X)&quieter(curtis,Y))=>(X=Y))))))	room(curtis)&room(william)&room(mia)&room(robert)&(![X]:(room(X)=>(X='curtis'\|X='william'\|X='mia'\|X='robert')))& ((quieter(curtis,william))&(richer(curtis,william)))	entailment	entailment	contradiction
Agnes, Paul, Thomas are the only persons in the room. If "Jeffrey is a client of Agnes" then "more than one person in the room is hated by Kimberly". If "Agnes neither is liked by Jeffrey nor likes Jeffrey" then "everyone in the room who is a client of Denise does not collect vintage stamps". "Paul collects vintage stamps or hates Jeffrey or both" if "only one person outside the room hates Marie". If "Paul is the tallest in the room" then "Agnes who is hated by Denise, does not collect vintage stamps". If "someone who is not liked by Jeffrey is richer than someone who is not tall, not quiet" then "only one person outside the room does not travel domestically frequently". Kimberly and Marie hate each other. Someone outside the room who is not quiet collects vintage stamps. Agnes is taller than Denise and hates Jeffrey. Paul is taller than Denise or is a client of Kimberly or both. Everyone in the room is liked by Marie. Someone in the room who is hated by Kimberly hates Denise. Agnes does not hate Denise or hates Denise or both.	Agnes who likes Jeffrey, is not a tall quiet person.	contradiction	-	room(agnes)&room(paul)&room(thomas)&(![X]:(room(X)=>(X='agnes'\|X='paul'\|X='thomas')))& (((client(agnes,jeffrey))=>((?[X,Y]:(room(X)&room(Y)&(hate(X,kimberly)&hate(Y,kimberly))&(X!=Y)))))& ((~((like(agnes,jeffrey))\|(like(jeffrey,agnes))))=>(![X]:(room(X)=>(((client(denise,X))=>(does_not_collect_vintage_stamps(X)))))))& ((((?[X]:(~room(X)&hate(marie,X)))&(![X,Y]:((hate(marie,X)&hate(marie,Y))=>(X=Y)))))=>(((collects_vintage_stamps(paul))\|(hate(jeffrey,paul)))))& ((![X]:(taller(X,paul)))=>((hate(agnes,denise))&(does_not_collect_vintage_stamps(agnes))))& ((?[X,Y]:((~like(X,jeffrey))&(~tall(Y)&~quiet(Y))&(richer(X,Y))))=>(((?[X]:(~room(X)&does_not_travel_domestically_frequently(X)))&(![X,Y]:((does_not_travel_domestically_frequently(X)&does_not_travel_domestically_frequently(Y))=>(X=Y))))))& ((hate(kimberly,marie) & hate(marie,kimberly)))& (?[X]:(~room(X)=>(((~quiet(X))=>(collects_vintage_stamps(X))))))& ((taller(denise,agnes))&(hate(jeffrey,agnes)))& (((taller(denise,paul))\|(client(kimberly,paul))))& (![X]:(room(X)=>(like(X,marie))))& (?[X]:(room(X)=>(((hate(X,kimberly))=>(hate(denise,X))))))& (((~hate(denise,agnes))\|(hate(denise,agnes)))))	room(agnes)&room(paul)&room(thomas)&(![X]:(room(X)=>(X='agnes'\|X='paul'\|X='thomas')))& ((like(jeffrey,agnes))&(~(tall(agnes)&quiet(agnes)&person(agnes))))	contradiction	neutral	contradiction
Alyson, Francine, Sandra, Maritza are the only persons in the room. Someone who does not have a piercing is quieter than someone who is not Maritza. More than one person in the room does not hate Stacy. Maritza and Francine are respectively quiet and creative. Stacy is quieter than Maritza. Everyone in the room is hated by Maritza. Maritza and Francine hate each other. Maritza is not a happy quiet tourist and is not a quiet european. Sandra is hated by Maritza and is not happy. Francine is the quietest in the room. Francine is a quiet creative european or is a quiet happy tourist or both. Alyson is hated by Maritza and is not quiet.	Francine is not hated by Maritza or is a creative quiet rich happy person or both.	neutral	% SZS status Satisfiable	room(alyson)&room(francine)&room(sandra)&room(maritza)&(![X]:(room(X)=>(X='alyson'\|X='francine'\|X='sandra'\|X='maritza')))& ((?[X,Y]:((does_not_have_a_piercing(X))&(Y!=maritza)&(quieter(X,Y))))& ((?[X,Y]:(room(X)&room(Y)&(~hate(stacy,X)&~hate(stacy,Y))&(X!=Y))))& ((quiet(maritza))&(creative(francine)))& (quieter(maritza,stacy))& (![X]:(room(X)=>(hate(X,maritza))))& ((hate(maritza,francine) & hate(francine,maritza)))& ((~(happy(maritza)&quiet(maritza)&tourist(maritza)))&(~(quiet(maritza)&european(maritza))))& ((hate(sandra,maritza))&(~happy(sandra)))& (![X]:(quieter(X,francine)))& (((quiet(francine)&creative(francine)&european(francine))\|(quiet(francine)&happy(francine)&tourist(francine))))& ((hate(alyson,maritza))&(~quiet(alyson))))	room(alyson)&room(francine)&room(sandra)&room(maritza)&(![X]:(room(X)=>(X='alyson'\|X='francine'\|X='sandra'\|X='maritza')))& (((~hate(francine,maritza))\|(creative(francine)&quiet(francine)&rich(francine)&happy(francine)&person(francine))))	contradiction	entailment	contradiction
Betty is the only person in the room. “Betty is not quiet or is quieter than Justin or both” only if “no one outside the room who is not a quiet person does not like Estelle”. Everyone outside the room who enjoys landscape photography is a quiet person. More than one person outside the room does not like Ana. More than one person outside the room is not Betty.	Betty neither is not a rich tall person nor is a quiet person.	contradiction	-	room(betty)&(![X]:(room(X)=>(X='betty')))& (((((~quiet(betty))\|(quieter(justin,betty))))=>(~?[X]:(~room(X)=>(((~(quiet(X)&person(X)))=>(~like(estelle,X)))))))& (![X]:(~room(X)=>(((enjoys_landscape_photography(X))=>(quiet(X)&person(X))))))& ((?[X,Y]:(~room(X)&~room(Y)&(~like(ana,X)&~like(ana,Y))&(X!=Y))))& ((?[X,Y]:(~room(X)&~room(Y)&(X!=betty&Y!=betty)&(X!=Y)))))	room(betty)&(![X]:(room(X)=>(X='betty')))& (~((~(rich(betty)&tall(betty)&person(betty)))\|(quiet(betty)&person(betty))))	neutral	contradiction	neutral
Nicole, Michael, Scott, Neil are the only persons in the room. “Someone in the room is not a brave creative european” if “John is richer than Michael” and vice versa. John is richer than Michael. Only one person outside the room is not a creative person. It is not the case that 'Neil is a tall happy european'.	Nicole is not a creative european and is a rich happy european.	contradiction	-	room(nicole)&room(michael)&room(scott)&room(neil)&(![X]:(room(X)=>(X='nicole'\|X='michael'\|X='scott'\|X='neil')))& (((richer(michael,john))<=>(?[X]:(room(X)=>(~(brave(X)&creative(X)&european(X))))))& (richer(michael,john))& (((?[X]:(~room(X)&~(creative(X)&person(X))))&(![X,Y]:((~(creative(X)&person(X))&~(creative(Y)&person(Y)))=>(X=Y)))))& (~(tall(neil)&happy(neil)&european(neil))))	room(nicole)&room(michael)&room(scott)&room(neil)&(![X]:(room(X)=>(X='nicole'\|X='michael'\|X='scott'\|X='neil')))& ((~(creative(nicole)&european(nicole)))&(rich(nicole)&happy(nicole)&european(nicole)))	contradiction	neutral	contradiction
Albert, Robert, Stacey, Judith are the only persons in the room. If "Stacey is the least tall in the room" then "Robert and Stacey are respectively tall and happy" otherwise "no one outside the room is not creative". "Ron is taller than Albert" if "Albert neither is a creative happy tall tourist nor bakes bread at home" and vice versa. "Someone who is not tall is taller than someone who is a happy creative tourist" if "Albert and Stacey are respectively creative and tall". If "Robert likes Ron or is liked by Ron or both" then "Albert and Robert are respectively tall and creative". Someone outside the room is taller than Ron. Robert is the tallest in the room. Albert and Robert are respectively happy and creative. Albert is the least tall in the room. Stacey neither is liked by Ron nor does not bake bread at home. Robert is not a creative tourist and is liked by Ron.	Someone who does not hate Ron is taller than someone who is not creative, not tall.	contradiction	-	room(albert)&room(robert)&room(stacey)&room(judith)&(![X]:(room(X)=>(X='albert'\|X='robert'\|X='stacey'\|X='judith')))& ((((![X]:(taller(stacey,X)))=>((tall(robert))&(happy(stacey))))\|((~(![X]:(taller(stacey,X))))=>(~?[X]:(~room(X)=>(~creative(X))))))& ((~((creative(albert)&happy(albert)&tall(albert)&tourist(albert))\|(bakes_bread_at_home(albert))))<=>(taller(albert,ron)))& (((creative(albert))&(tall(stacey)))=>(?[X,Y]:((~tall(X))&(happy(Y)&creative(Y)&tourist(Y))&(taller(X,Y)))))& ((((like(ron,robert))\|(like(robert,ron))))=>((tall(albert))&(creative(robert))))& (?[X]:(~room(X)=>(taller(ron,X))))& (![X]:(taller(X,robert)))& ((happy(albert))&(creative(robert)))& (![X]:(taller(albert,X)))& (~((like(stacey,ron))\|(does_not_bake_bread_at_home(stacey))))& ((~(creative(robert)&tourist(robert)))&(like(robert,ron))))	room(albert)&room(robert)&room(stacey)&room(judith)&(![X]:(room(X)=>(X='albert'\|X='robert'\|X='stacey'\|X='judith')))& (?[X,Y]:((~hate(ron,X))&(~creative(Y)&~tall(Y))&(taller(X,Y))))	entailment	neutral	neutral

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