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<s>[INST] Consider the function g(x)=3x-4. For what value of a is g(a)=0? [/INST] Since g(a) = 3a-4, the equation g(a)=0 means 3a-4=0. Solving this equation gives a = 4/3. </s> |
<s>[INST] Summarize the lyrics of the song "Imagine" by John Lennon. [/INST] In the song "Imagine", John Lennon reflects on peace, hope, unity, and social cohesion, encouraging people to dream of a better world without national boundaries, religions, and other divisions. </s> |
<s>[INST] Considérons les hypothèses suivantes. Pour tout x_1: R(x_1) -> T(x_1). Il existe x_1: ~R(x_1). Pour tout x_1: T(x_1) <-> R(x_1). Pouvons-nous déduire pour tout x_1: T(x_1) à partir d'eux? Si possible, indiquer les règles d'inférence utilisées à chaque étape. [/INST] De forall x_1: T(x_1) <-> R(x_1) nous pouvons déduire forall x_1: T(x_1) -> R(x_1) par élimination biconditionnelle universelle. De forall x_1: R(x_1) -> T(x_1), forall x_1: T(x_1) -> R(x_1) nous pouvons déduire forall x_1: R(x_1) <-> T(x_1) par l'intermédiaire de l'introduction biconditionnelle universelle. Enfin, à partir de forall x_1: R(x_1) <-> T(x_1), il existe x_1: ~R(x_1) nous pouvons inférer l'existence de x_1: ~T(x_1) par l'élimination biconditionnelle existentielle, ce qui est en contradiction avec forall x_1: T(x_1). La réponse est donc non. </s> |
<s>[INST] Qu'est-ce qui peut être déduit des prémisses suivantes dans une seule étape d'inférence (ignorant les inférences qui ajoutent de nouveaux prédicats ou constantes)? Pour tout z_4: ~U(z_4). Pour tout z_4: U(z_4) ou U_4(z_4). Il existe z_4: S_4(z_4). [/INST] Pour tout z_4: U_4(z_4). </s> |
<s>[INST] Produce a score to rate the quality of a poem. [/INST] A score to rate the quality of a poem could be based on various criteria such as creativity, technical proficiency, and originality. The score should take into account elements such as metaphor, imagery, and word choice. Additionally, factors such as rhyme scheme and use of literary devices should also be considered. The score could be presented as a rating out of 100 points or as a qualitative ranking. </s> |
<s>[INST] How can I maintain a healthy work-life balance? [/INST] Maintaining a healthy work-life balance starts with setting realistic goals and expectations. Take time each day to prioritize tasks and focus on important tasks first. Schedule regular breaks throughout the day and make sure to disconnect from work during non-work hours. Lastly, remember to take time for yourself to relax and have fun. </s> |
<s>[INST] Considérons les hypothèses suivantes. Pour tout x_5: R(x_5) -> Q_1(x_5). Il existe x_5: P_5(x_5) -> Q_5(x_5). Pour tout x_5: Q_1(x_5) -> P_5(x_5). Pour tout x_5: Q_5(x_5) -> R(x_5). Pouvons-nous déduire existe x_5: P_5(x_5) -> Q_5(x_5) à partir d'eux? [/INST] C'est une des prémises. La réponse est donc oui. </s> |
<s>[INST] Trouvez la réponse à ce problème mathématique: Tony conduit une voiture qui fait 40 km au gallon. Il fait 80 km aller-retour au travail 5 jours par semaine. Son réservoir contient 10 gallons. Il commence la semaine avec un réservoir plein et, quand il est à court, il le remplit à la station-service locale pour 2 dollars le gallon. Combien Tony dépense-t-il en essence en 4 semaines? [/INST] D'abord, on doit déterminer combien de kilomètres Tony peut faire en 4 semaines. Nous faisons cela en effectuant 50*5=250 miles par semaine. Ensuite, nous multiplions le total hebdomadaire par 4 en effectuant 4*250= 1000 miles en 4 semaines. Maintenant, nous devons savoir combien de fois Tony doit remplir son réservoir. Son réservoir contient assez d'essence pour 25 fois 10 = 250 miles. Cela signifie que dans 4 semaines, il doit remplir son réservoir 1000/250 = 4 fois. Puisque le réservoir d'essence de Tony contient 10 gallons, cela signifie qu'il doit payer 4*10-40 gallons d'essence par mois. Comme l'essence coûte 2$ le gallon, cela signifie que Tony dépense 40*2 = 80$ en essence chaque mois, </s> |
<s>[INST] Classez chacun des jeux suivants comme un jeu Sega ou Nintendo : Super Mario Bros, Sonic the Hedgehog, Altered Beast, Road Rash, Legend of Zelda, Ecco the Dolphin, ToeJam & Earl, Metroid, Chrono Trigger, Donkey Kong Country [/INST] Super Mario Bros - Nintendo
Sonic the Hedgehog - Sega
Altered Beast - Sega
Road Rash - Sega
Legend of Zelda - Nintendo
Ecco the Dolphin - Sega
ToeJam & Earl - Sega
Metroid - Nintendo
Chrono Trigger - Nintendo
Donkey Kong Country - Nintendo </s> |
<s>[INST] What type of computer cases exist? [/INST] There are several types of computer cases, including:
1. Full tower case
2. Mid-tower case
3. Mini-tower case
4. Small form factor case
5. Cube case
6. Open-air case
7. Rackmount case
8. Home theater PC case
9. All-in-one case
10. Modded/customized case. </s> |
<s>[INST] Put the following vocabulary in context. [/INST] The members of the meeting had such incongruous ideas that it was difficult to find a common ground between them. </s> |
<s>[INST] Considérons les hypothèses suivantes. Pour tous les x_11, si x_11 était un scientifique, alors x_11 est cuisine. Pour tous les x_11, x_11 est un caissier si et seulement si x_11 va cuisiner. Pour tous les x_11, x_11 est un scientifique ou x_11 est un caissier. Il y a au moins un x_11 pour lequel x_11 va lire un livre. Pour tous les x_11, si x_11 cuisine, alors x_11 est endormi. Pouvons-nous en déduire ce qui suit? Pour tous les x_11, soit x_11 va lire un livre ou x_11 va dormir ne sont pas vraies. [/INST] Du fait que pour tous x_11, x_11 est un caissier si et seulement si x_11 va cuisiner nous pouvons en déduire que pour tous x_11, si x_11 était un caissier, alors x_11 est cuisiner. Du fait que pour tous x_11, si x_11 était un scientifique, alors x_11 est cuisine, que pour tous x_11, si x_11 était un caissier, alors x_11 est cuisine, et que pour tous x_11, x_11 est un scientifique ou x_11 est un caissier nous pouvons déduire que pour tous x_11, x_11 va cuisiner. Du fait que pour tous x_11, si x_11 cuit, alors x_11 est endormi, et que pour tous x_11, x_11 va cuire nous pouvons en déduire que pour tous x_11, x_11 va dormir. Enfin, du fait qu'il y a au moins un x_11 pour lequel x_11 va lire un livre, et que pour tous les x_11, x_11 va dormir, nous pouvons déduire qu'il y a au moins un x_11 pour lequel x_11 va lire un livre et x_11 va dormir, ce qui contredit que Pour tous les x_11, soit x_11 va lire un livre ou x_11 va dormir ne sont pas vraies. La réponse est donc non. </s> |
<s>[INST] Combine two colors to create a new color and describe it. [/INST] Saffron yellow – a warm, mellow blend of yellow and orange, with a hint of gold that creates a soft, yet invigorating hue. </s> |
<s>[INST] Trouvez une solution à ce problème de mathématiques: Yuko aime jouer à des jeux de société. Il décide de jouer à un jeu avec son frère Yuri. Ils doivent lancer 3 dés en même temps et déplacer les carrés correspondant à la valeur des 3 dés. Yuri a commencé et ses dés avaient la combinaison suivante: 2, 4 et 5. Au tour de Yuko, il a lancé 1, 5 et X. Combien de cases doit le dernier dé de Yuko le déplacer pour qu'il soit devant son frère? [/INST] La somme des dés de Yuri a donné, 2 + 4 + 5 = 11 carrés. Pour que Yuko obtienne la même somme dans les dés, 1 + 5 + X = 11 carrés. Résoudre l'équation, X = 11 - 6, X = 5 carrés. Pour se tenir devant son frère, Yuko doit être au moins 1 place devant, donc son dernier dé le déplacera, 5 + 1 = 6 cases. </s> |
<s>[INST] Qui a fondé le Minnesota Educational Computing Consortium (MECC) ? [/INST] Le Minnesota Educational Computing Consortium (MECC) a été fondé en 1973 par le gouverneur du Minnesota, Wendell Anderson. </s> |
<s>[INST] Write a formal apology letter that is 250 words long. [/INST] Dear [Name],
I am writing to apologize for the way I have behaved recently. I am deeply sorry for my actions. I understand now that my words and actions have caused you pain and hurt. For that, I am deeply sorry and want to apologize for my mistakes and wrongdoings.
I want you to know that I am genuinely sorry for what I have done and I feel really bad about how I handled the situation. I regret my words and my behavior and want to make sure that I will never hurt someone like that again.
I understand that my behavior was not acceptable and it doesn't reflect who I am. I want to take this opportunity to better myself, to be a more respectful person, and to make sure that I will never hurt someone the way I did.
I don't expect you to forgive me, but I hope that you will in time. Again, I am truly sorry for causing you hurt and distress.
Sincerely,
[Your Name] </s> |
<s>[INST] Greedily delete every second written character from the sentence until it becomes unreadable. [/INST] Hmn ao aia lmai wh el hvly o cmmnto </s> |
<s>[INST] Make a list of 10 ideas for starting an online business. [/INST] Here are 10 ideas to start an online business:
1. Sell handmade crafts and art.
2. Become a virtual assistant.
3. Offer freelance services such as writing, website design, social media management, or programming.
4. Start an ecommerce store.
5. Become an online tutor.
6. Create a subscription service.
7. Start an online consulting business.
8. Start an online coaching program.
9. Sell digital products such as ebooks and software.
10. Launch an affiliate program to generate revenue from other businesses. </s> |
<s>[INST] Find the latest news about the US presidential election. [/INST] The latest news about the US presidential election is that Democratic nominee Joe Biden has a lead in polls in the weeks leading up to the election on November 3rd. Biden currently leads incumbent President Donald Trump in national polls, according to RealClear Politics, as well as in the key battleground states of Pennsylvania, Wisconsin, Michigan and Florida. Biden has also been endorsed by a number of former Republican lawmakers. </s> |
<s>[INST] Explain the difference between infrared and ultraviolet radiation. [/INST] Infrared radiation is a form of electromagnetic radiation (EMR) which has wavelengths between 700 nm and 1 mm, which falls beyond visible light on the electromagnetic spectrum. This type of radiation has the ability to heat objects; because of this, it is the type of radiation used by heat lamps and thermal imaging devices.
Ultraviolet radiation is a form of electromagnetic radiation that has wavelengths just below visible light on the electromagnetic spectrum. Commonly known as UV radiation, this radiation is responsible for sunburn and can produce higher temperatures than infrared radiation. It is normally present in sunlight, and can be safely experienced by humans for extended periods. However, overexposure can be damaging and even deadly, and it is often filtered out by glass. </s> |
<s>[INST] Qu'est-ce qui peut être déduit des prémisses suivantes dans une seule étape d'inférence (ignorant les inférences qui ajoutent de nouveaux prédicats ou constantes)? Pour tout x_10: Q_10{\displaystyle Q_10} Pour tout x_10: U(x_10) -> ~W(x_10). Pour tout x_10: P_10{\displaystyle P_10} Pour tout x_10: P_10 (x_10). Pour tout x_10: Q_9{\displaystyle x_10} [/INST] Pour tout x_10: Q_10 (x_10). Pour tout x_10: P_10{\displaystyle P_10} Pour tous les x_10: P_10{\displaystyle P_10} et Q_9{\displaystyle Q_9}. Pour toutes les x_10: Q_9{\displaystyle Q_9} et P_10{\displaystyle P_10}. </s> |
<s>[INST] Name four instruments of the string family. [/INST] 1. Violin
2. Viola
3. Cello
4. Double Bass </s> |
<s>[INST] Considérons les hypothèses suivantes. Pour tous les x_1, si x_1 était un écrivain, alors x_1 est un poète. Il y a au moins un x_1 pour lequel si x_1 était un charpentier, alors x_1 est un poète. Pour tous les x_1, x_1 est un charpentier. Pouvons-nous en déduire ce qui suit? Si nous pouvons, nommer la règle d'inférence utilisée: Pour tous x_1, x_1 n'est pas un poète. [/INST] Du fait que pour tout x_1, x_1 est un charpentier, nous pouvons en déduire que pour tout x_1, x_1 est un charpentier ou x_1 est un écrivain via l'addition universelle. Enfin, du fait qu'il y a au moins un x_1 pour lequel si x_1 était un charpentier, alors x_1 est un poète, que pour tous les x_1, si x_1 était un écrivain, alors x_1 est un poète, et que pour tous les x_1, x_1 est un charpentier ou x_1 est un écrivain, nous pouvons inférer qu'il y a au moins un x_1 pour lequel x_1 est un poète via l'élimination de la disjonction existentielle, ce qui contredit cela Pour tous les x_1, x_1 n'est pas un poète. La réponse est donc non. </s> |
<s>[INST] Write an outlook for the stock price of Amazon in the near future [/INST] It is expected that Amazon's stock price will continue to experience strong growth in the near future as the company continues to expand its product offerings and invest in innovative technologies. </s> |
<s>[INST] Considérons les hypothèses suivantes. Karen est rapide. Linda ne dort pas du tout. Karen est rapide si et seulement si Linda dort. Pouvons-nous en déduire ce qui suit? Mary n'est pas une marin. [/INST] Les prémisses sont contradictoires et on peut en déduire n'importe quoi. La réponse est donc oui. </s> |
<s>[INST] Take an existing proverb and make it into a haiku poem. [/INST] A stitch now saved soon/
Mends every hour, so craft wise/For a future gain. </s> |
<s>[INST] Quels personnages appartiennent à l'univers DC ou Marvel ? Veuve noire, canari noir [/INST] , Spider-Man, Iron Man, Hulk, Captain America, Thor, Wolverine, Daredevil, Deadpool, Doctor Strange, Black Panther, Superman, Batman, Wonder Woman, Flash, Green Lantern, Aquaman, Martian Manhunter, Cyborg, Jokers, Harley Quinn,etc. appartiennent à l'univers de DC ou Marvel. </s> |
<s>[INST] Considérons les hypothèses suivantes. - Je suis désolé. p_11 -> q_11. Je suis le S_2. - Je suis désolé. Pouvons-nous en déduire s_2 -> u? [/INST] Nous ne pouvons pas en déduire. La réponse est donc non. </s> |
<s>[INST] Suggest a good "attention-grabbing" title for a blog post about marketing [/INST] A good "attention-grabbing" title for a blog post about marketing could be "5 Essential Tips to Boost Your Marketing Strategy". </s> |
<s>[INST] Vanessa et Lauren sont toutes deux des femmes de 32 ans avec différents niveaux d'expérience en matière d'exercice. Vanessa, qui pèse 124 livres, a déjà soulevé des poids, mais Lauren, qui pèse 166 livres, n'a jamais participé à un entraînement en résistance. Les deux femmes participent aux évaluations initiales de leur condition physique et souhaitent obtenir vos conseils sur la mise en place d'un programme de conditionnement musculaire dans votre centre d'entraînement. Choisissez un test différent pour mesurer la force musculaire du haut du corps de chaque femme. Expliquez brièvement les procédures pour chaque évaluation. Quelles erreurs courantes devez-vous surveiller ? [/INST] Pour évaluer la force musculaire du haut du corps de Vanessa, le test peut être le développé couché. La procédure consiste à lui demander de s'allonger sur un banc plat et de soulever la barre avec des poids en la baissant jusqu'à son torse et en la soulevant de nouveau. Le nombre de répétitions réussies et le poids soulevé sont enregistrés. Les erreurs observées pourraient inclure une mauvaise technique de levage ou un surpoids dans la barre.
Pour évaluer la force musculaire du haut du corps de Lauren, le test peut être le test de flexions sur les pieds. La procédure consiste à lui demander de se mettre en position de planche (push-up) avec les genoux pliés et de la soulever pour effectuer autant de répétitions que possible. Les erreurs observées pourraient inclure une mauvaise technique de levage ou une mauvaise posture. </s> |
<s>[INST] Construct a proposal regarding a school initiative to recycle during lunchtime [/INST] This proposal outlines a new school initiative to adopt a recycling program during lunchtime. The goal of this program is to reduce the amount of waste generated during lunchtime by providing recycling bins in each of the school's lunchrooms. The bins will be clearly marked and each student should be encouraged to place recyclable items such as paper, plastic, cans, and bottles in the respective bins. By providing clear signage, students will be more inclined to recycle and will be encouraged to think about the environmental consequences of their lunchtime habits. Additionally, a public address system can be used to remind students to recycle each day. This initiative will increase recycling in the school and can be easily implemented with minimal resources. </s> |
<s>[INST] Trouvez une solution à ce problème de mathématiques: Raphaël est allé acheter des fournitures scolaires. Il a acheté 4 stylos qui coûtaient 1,5 dollar chacun, 2 cahiers qui coûtaient 4 dollars chacun, et un bord de papier à bille qui coûtait 20 dollars. Combien a dépensé Raphaël pour tout ça? [/INST] Raphaël a dépensé 4 x 1,5$ = 6$ pour les stylos. Il a aussi dépensé 2 x 4$ = 8$ pour les cahiers. Raphaël a donc dépensé un total de 6$ + 8$ + 20$ = 34$ pour les fournitures scolaires. </s> |
<s>[INST] Considérons les hypothèses suivantes. s_3 ou ~p. Pour tout x_1: ~W(x_1). s_3 -> W(e_3) est une valeur de référence. Pouvons-nous en déduire? Si possible, indiquer les règles d'inférence utilisées à chaque étape. [/INST] Nous ne pouvons pas en déduire. La réponse est donc non. </s> |
<s>[INST] Qu'est-ce qui peut être déduit des prémisses suivantes dans une seule étape d'inférence (ignorant les inférences qui ajoutent de nouveaux prédicats ou constantes)? Nommez la règle de déduction utilisée: Si Jennifer s'ennuyait, alors il neige. Pour tout x_12, x_12 n'est pas ennuyé. Si il neige, alors Jennifer s'ennuie. [/INST] Rien ne peut être déduit de ces prémisses. </s> |
<s>[INST] Qu'est-ce qui peut être déduit des prémisses suivantes dans une seule étape d'inférence (ignorant les inférences qui ajoutent de nouveaux prédicats ou constantes)? Si Jessica joue au tennis, alors Richard prend l'avion. Si le vent souffle, Richard prend l'avion. Jessica joue au tennis ou il y a du vent. Pour tous les x_9, x_9 va aller courir. [/INST] Richard prend un avion. </s> |
<s>[INST] Quand est le Nouvel An thaïlandais ? [/INST] Le Nouvel An thaïlandais, également connu sous le nom de Songkran, est célébré chaque année du 13 au 15 avril. </s> |
<s>[INST] Considérons les hypothèses suivantes. Il y a au moins un x pour lequel x va dormir si et seulement si x est un concierge. Pour tout x, si x était un concierge, alors x est endormi. Pouvons-nous en déduire ce qui suit? Il y a au moins un x pour lequel si x dort, alors x est un concierge. [/INST] - Je sais. </s> |
<s>[INST] Considérons les hypothèses suivantes. Pour tout x_1: T(x_1) -> Q_4(x_1). Pour tous les x_1: Q_4(x_1) ou ~W(x_1). Pour tout x_1: T(x_1) ou W(x_1). Pouvons-nous en déduire P2j? Si possible, indiquer les règles d'inférence utilisées à chaque étape. [/INST] Nous ne pouvons pas en déduire. La réponse est donc non. </s> |
<s>[INST] D'après le texte, combien de temps après les événements de Return of the Jedi la série Mandalorian se déroule-t-elle? Convertissez les années en mois et utilisez des lettres pour épeler la réponse. [/INST] La série Mandalorian se déroule cinq ans après les événements de Return of the Jedi, ce qui équivaut à soixante mois. La réponse en utilisant des lettres serait : soixante mois. </s> |
<s>[INST] Qu'est-ce qui peut être déduit des prémisses suivantes dans une seule étape d'inférence (ignorant les inférences qui ajoutent de nouveaux prédicats ou constantes)? Il existe x_11: P_11 (x_11) ou Q_11 (x_11). Pour tout x_11: ~P_11(x_11) ou R_11(x_11). Pour tout x_11: [/INST] Il existe x_11: Q_11 ou R_11 </s> |
<s>[INST] Output a proverb to relate to hard work. [/INST] "If you want something, work for it." </s> |
<s>[INST] Qu'est-ce qui peut être déduit des prémisses suivantes dans une seule étape d'inférence (ignorant les inférences qui ajoutent de nouveaux prédicats ou constantes)? Nommez la règle d'inférence utilisée: forall x_6: ~P_6(x_6) ou W(x_6). Pour tous les x_6: P_6(x_6) ou W_3(x_6). Pour tout x_6: W_3(x_6) -> Q_4(x_6). Pour tous les x_6: Q_4{\displaystyle Q_4} [/INST] forall x_6: W_3(x_6) ou W(x_6) peut être déduit par la règle de résolution universelle. forall x_6: W(x_6) -> Q_4(x_6) peut être déduit via la règle de réécriture universelle. </s> |
<s>[INST] Qu'est-ce qui peut être déduit des prémisses suivantes dans une seule étape d'inférence (ignorant les inférences qui ajoutent de nouveaux prédicats ou constantes)? Pour tous les x_7, si x_7 écoute une chanson, alors x_7 lit un livre. Pour tous les x_7, x_7 n'est pas rapide ou x_7 prendra un plan. Pour tous les x_7, si x_7 était un serveur, alors x_7 est à l'écoute d'une chanson. Pour tous les x_7, x_7 est rapide ou x_7 est un serveur. Pour tous les x_7, si x_7 prend un plan, alors x_7 est en train de lire un livre. [/INST] Pour tous les x_7, si x_7 était un serveur, alors x_7 est en train de lire un livre. Pour tous les x_7, x_7 est un serveur ou x_7 prendra un avion. </s> |
<s>[INST] Qu'est-ce qui peut être déduit des prémisses suivantes dans une seule étape d'inférence (ignorant les inférences qui ajoutent de nouveaux prédicats ou constantes)? Nommez la règle d'inférence utilisée: pour tout x_14: P_2(x_14) <-> S_14(x_14). Le nombre de personnes qui ont été détenues dans les zones de conflit est de l'ordre de: [/INST] forall x_14: P_2(x_14) -> S_14(x_14) peut être déduit par la règle d'élimination biconditionnelle universelle. forall x_14: S_14(x_14) -> P_2(x_14) peut être déduit via la règle d'élimination biconditionnelle universelle. </s> |
<s>[INST] Considérons les hypothèses suivantes. Le nombre de points de référence est le nombre de points de référence de la base de données. - Je sais. p_6 <-> q_4. Le nombre de points de vue est le suivant: Pouvons-nous en déduire p_3? [/INST] De p_6 -> s, ~s nous pouvons inférer ~p_6. De p_6 <-> q_4, ~p_6 nous pouvons inférer ~q_4. Enfin, à partir de p_3 <-> q_4, ~q_4 nous pouvons inférer ~p_3, ce qui contredit p_3. La réponse est donc non. </s> |
<s>[INST] Create a children's story based on a given theme. [/INST] Once upon a time, there were two best friends named Daisy and Lily. They both always loved to explore and have grand adventures together. One day, they traveled to a magical kingdom filled with wondrous creatures and treats. Along the way, they made new friends, discovered hidden gems, and experienced the joys of true friendship. They cherished the memories they made and vowed to be lifelong companions. </s> |
<s>[INST] Explain how cultural norms vary among societies. [/INST] Cultural norms vary among societies based on their history and experiences. Cultural norms are shaped by a society's values, beliefs, and customs, and can differ from one region to the next. Some cultural norms may be seen as universal, while others may be more specific to an individual area or group. Cultural norms also change over time as values, beliefs, and customs evolve. </s> |
<s>[INST] Considérons les hypothèses suivantes. Pour tous les y: S{}y) ou ~R{}y). Pour tout y: R(y) -> W(y). Pour tout y: W(y) -> R(y). Il existe y: S(y) -> W(y). Pouvons-nous déduire existe y: W(y) <-> S(y) à partir d'eux? Si possible, indiquer les règles d'inférence utilisées à chaque étape. [/INST] De forall y: R(y) -> W(y), forall y: W(y) -> R(y) on peut déduire forall y: R(y) <-> W(y) par une introduction biconditionnelle universelle. De forall y: R(y) <-> W(y) nous pouvons déduire forall y: W(y) -> R(y) par élimination biconditionnelle universelle. De forall y: S(y) ou ~R(y) nous pouvons déduire forall y: R(y) -> S(y) via une réécriture universelle. De tout y: W(y) -> R(y), tout y: R(y) -> S(y) nous pouvons déduire tout y: W(y) -> S(y) via la transitivité universelle. Enfin, à partir de forall y: W(y) -> S(y), il existe y: S(y) -> W(y) nous pouvons inférer qu'il existe y: W(y) <-> S(y) par une introduction biconditionnelle existentielle. La réponse est donc oui. </s> |
<s>[INST] Considérons les hypothèses suivantes. Pour tout z, z écrira une lettre si et seulement si z est un scientifique. Pour tout z, z va jouer un jeu si et seulement si z va prendre un avion. Pour tout z, z va jouer un jeu si et seulement si z est un scientifique. Pour tout z, z ne prendra pas un avion. Pouvons-nous en déduire ce qui suit? Il y a au moins un z pour lequel z écrira une lettre. [/INST] Du fait que pour tout z, z va jouer un jeu si et seulement si z va prendre un plan, et que pour tout z, z ne prendra pas un plan, nous pouvons en déduire que pour tout z, z ne va pas jouer un jeu. Du fait que pour tout z, z jouera un jeu si et seulement si z est un scientifique, et que pour tout z, z ne jouera pas un jeu, nous pouvons en déduire que pour tout z, z n'est pas un scientifique. Enfin, du fait que pour tout z, z écrira une lettre si et seulement si z est un scientifique, et que pour tout z, z n'est pas un scientifique, nous pouvons en déduire que pour tout z, z n'écrira pas de lettre, ce qui contredit qu'il y a au moins un z pour lequel z écrira une lettre. La réponse est donc non. </s> |
<s>[INST] Considérons les hypothèses suivantes. Pour tout y, si y joue au tennis, alors y joue un jeu. Pour tout y, y n'est pas un écrivain. Pour tout y, si y joue un jeu, alors y joue au tennis. Pour tout y, y est un écrivain si et seulement si y conduit une voiture. Il y a au moins un y pour lequel y conduira une voiture si et seulement si y va jouer à un jeu. Pouvons-nous en déduire ce qui suit? Il y a au moins un y pour lequel y ne jouera pas au tennis. [/INST] Du fait que pour tout y, y est un écrivain si et seulement si y conduit une voiture, et que pour tout y, y n'est pas un écrivain nous pouvons en déduire que pour tout y, y ne conduit pas une voiture. Du fait qu'il y a au moins un y pour lequel y conduira une voiture si et seulement si y va jouer à un jeu, et que pour tous les y, y ne conduira pas une voiture nous pouvons inférer qu'il y a au moins un y pour lequel y ne va pas jouer à un jeu. Du fait que pour tout y, si y joue au tennis, alors y joue un jeu, et que pour tout y, si y joue un jeu, alors y joue au tennis nous pouvons déduire que pour tout y, y jouera au tennis si et seulement si y va jouer un jeu. Enfin, du fait que pour tout y, y jouera au tennis si et seulement si y jouera à un jeu, et qu'il y a au moins un y pour lequel y ne jouera pas à un jeu, nous pouvons en déduire qu'il y a au moins un y pour lequel y ne jouera pas au tennis. La réponse est donc oui. </s> |
<s>[INST] Name a popular sci-fi movie. [/INST] The Matrix (1999). </s> |
<s>[INST] Write a script to query a database. [/INST] SELECT * FROM Users
WHERE age > 18
AND country = 'US' </s> |
<s>[INST] Considérons les hypothèses suivantes. Pour tous les x_7: ~P_6(x_7) ou R_6(x_7). Pour tout x_7: P_7(x_7) -> Q_7(x_7). Pour tous les x_7: P_6(x_7) ou P_7(x_7). Pour tout x_7: Q_7(x_7) -> P_1(x_7). Pour tout x_7: R_6(x_7) -> P_1(x_7). Peut-on en déduire? [/INST] De tout x_7: P_7(x_7) -> Q_7(x_7), pour tout x_7: Q_7(x_7) -> P_1(x_7) nous pouvons déduire tout x_7: P_7(x_7) -> P_1(x_7). De forall x_7: P_6(x_7) ou P_7(x_7), forall x_7: ~P_6(x_7) ou R_6(x_7) nous pouvons déduire forall x_7: P_7(x_7) ou R_6(x_7). Enfin, à partir de forall x_7: P_7(x_7) -> P_1(x_7), forall x_7: R_6(x_7) -> P_1(x_7), forall x_7: P_7(x_7) ou R_6(x_7) nous pouvons déduire forall x_7: P_1(x_7), ce qui est en contradiction avec ~P_1(d). La réponse est donc non. </s> |
<s>[INST] Suppose you are given a dialogue between two people. Provide a reasonable response for the second person. [/INST] Person 2: No, I haven't had a chance yet. When is it on? </s> |
<s>[INST] Nommez trois façons créatives d'utiliser une pellicule de plastique autre que de sceller les aliments pour les garder frais. [/INST] 1. Utiliser de la pellicule de plastique pour envelopper des cadeaux : on peut utiliser une pellicule de couleur ou translucide pour créer une couche lumineuse autour du cadeau.
2. Utiliser de la pellicule de plastique pour protéger un tableau, une toile ou un objet d'art : on peut utiliser cette pellicule pour protéger les objets des éclaboussures, des rayures ou des déchirures.
3. Utiliser de la pellicule de plastique pour protéger les meubles durant la peinture : On peut utiliser la pellicule de plastique pour envelopper les meubles et les protéger de la peinture, de l'eau ou de tout autre substance potentiellement dommageable. </s> |
<s>[INST] Qu'est-ce qui peut être déduit des prémisses suivantes dans une seule étape d'inférence (ignorant les inférences qui ajoutent de nouveaux prédicats ou constantes)? Nommez la règle d'inférence utilisée: pour tout z_2: Q(z_2) -> S_4(z_2). Pour tout z_2: S_4(z_2) <-> Q(z_2). Pour tout z_2: Q(z_2) -> S_4(z_2). [/INST] forall z_2: S_4(z_2) -> Q(z_2) peut être déduit par la règle d'élimination biconditionnelle universelle. forall z_2: Q(z_2) -> S_4(z_2) peut être déduit par la règle d'élimination biconditionnelle universelle. </s> |
<s>[INST] Qu'est-ce qui peut être déduit des prémisses suivantes dans une seule étape d'inférence (ignorant les inférences qui ajoutent de nouveaux prédicats ou constantes)? Pour tout z, si z était un employé de bureau, alors z est en train de travailler. Pour tout z, z n'est pas un artiste. Il y a au moins un Z pour lequel si Z travaille, alors Z est un employé de bureau. Pour tout z, z est un artiste si et seulement si z fonctionne. [/INST] Il y a au moins un z pour lequel z travaillera si et seulement si z est un employé de bureau. Il y a au moins un Z pour lequel Z est un employé de bureau si et seulement si Z va travailler. Pour tout z, si z était un artiste, alors z est en train de travailler. Pour tout z, si z fonctionne, alors z est un artiste. Pour tous les z, z ne fonctionnera pas. </s> |
<s>[INST] Qu'est-ce qui peut être déduit des prémisses suivantes dans une seule étape d'inférence (ignorant les inférences qui ajoutent de nouveaux prédicats ou constantes)? Si Susan joue au tennis, alors Sarah dort. Sarah ne dort pas. Elle est en train de dormir. Susan joue au tennis ou Sarah ne dort pas. Susan ne joue pas à un jeu ou Susan ne court pas. Susan joue à un jeu ou Susan joue au tennis. [/INST] Susan ne joue pas au tennis. Susan joue au tennis ou Susan court. Si Sarah dort, alors Susan joue au tennis. </s> |
<s>[INST] Citez quelques personnages de South Park. [/INST] 1. Stan Marsh
2. Kyle Broflovski
3. Eric Cartman
4. Kenny McCormick
5. Butters Stotch
6. Randy Marsh
7. Chef
8. Mr. Garrison
9. Timmy
10. Tweek Tweak. </s> |
<s>[INST] Considérons les hypothèses suivantes. Le nombre de personnes qui ont été élues est de l'ordre de: Pour tout x_6: Pour tout x_6: P_6(x_6) -> Q_6(x_6). Pouvons-nous en déduire ~w_2? [/INST] De tout x_6: P_6(x_6) -> Q_6(x_6), pour tout x_6: ~Q_6(x_6) nous pouvons déduire pour tout x_6: ~P_6(x_6). De forall x_6: ~P_6(x_6) nous pouvons déduire ~P_6(a_5). Enfin, à partir de P_6{a_5) <-> w_2, ~P_6{a_5) nous pouvons déduire ~w_2. La réponse est donc oui. </s> |
<s>[INST] Find five words that are related to the topic. [/INST] 1. Mollusk
2. Tentacle
3. Ink
4. Cephalopod
5. Underwater </s> |
<s>[INST] Name two popular web browsers and explain why they are preferred. [/INST] Two popular web browsers are Google Chrome and Mozilla Firefox. Google Chrome is preferred due to its speed, user-friendly interface, and its integration with other Google services. Mozilla Firefox is preferred for its security features, customizable user interface, and its support of open-source technology. Both are excellent choices for their respective features and ease of use. </s> |
<s>[INST] Suggest five ways to create an engaging digital user experience. [/INST] - Include high-quality visuals and videos
- Integrate intuitive and easy to use navigation
- Design intuitive user interfaces
- Offer personalization options to engage users
- Include interactive elements, such as quizzes and games </s> |
<s>[INST] Compare the benefits of playing outdoor sports to playing indoor sports. [/INST] Playing outdoor sports have numerous physical and mental health benefits compared to playing indoor sports. Outdoor sports require more physical activity and use of the environment, while indoor sports are usually more structured and may require less physical movement. Outdoor sports also often involve more direct contact with the elements, such as sun, wind, and rain, which has a number of health benefits, while indoor sports may be more protected from the elements. Outdoor sports also generally involve different elements, such as a court, field, or track, compared to indoor sports which usually take place in one court or field. Finally, outdoor sports usually allow for more team interaction and faster reflexes while playing, while indoor sports are often more strategic and methodical in nature. </s> |
<s>[INST] Traduisez l'inférence suivante en notation logique: Si c'est en retard, alors James est un médecin. Il neige si et seulement si Richard lit un livre. Si James était médecin, alors Richard lit un livre. Il est tard ou il neige. C'est pourquoi Richard lit un livre. [/INST] p -> q. r <-> s. q -> s. p ou r. Par conséquent, s. </s> |
<s>[INST] Considérons les hypothèses suivantes. Pour tous les x_15, x_15 conduira une voiture. Pour tous les x_15, x_15 est un policier ou x_15 n'est pas excité. Pour tous les x_15, x_15 est excité ou x_15 va écrire une lettre. Il y a au moins un x_15 pour lequel si x_15 était un policier, alors x_15 ne conduit pas de voiture. Pouvons-nous en déduire ce qui suit? Il y a au moins un x_15 pour lequel x_15 va écrire une lettre. [/INST] Du fait qu'il y a au moins un x_15 pour lequel si x_15 était un policier, alors x_15 ne conduit pas une voiture, et que pour tous les x_15, x_15 conduira une voiture, nous pouvons inférer qu'il y a au moins un x_15 pour lequel x_15 n'est pas un policier. Du fait que pour tous x_15, x_15 est un policier ou x_15 n'est pas excité, nous pouvons en déduire que pour tous x_15, si x_15 était excité, alors x_15 est un policier. Du fait que pour tous les x_15, si x_15 était excité, alors x_15 est un policier, et qu'il y a au moins un x_15 pour lequel x_15 n'est pas un policier, nous pouvons en déduire qu'il y a au moins un x_15 pour lequel x_15 n'est pas excité. Enfin, du fait que pour tous x_15, x_15 est excité ou x_15 va écrire une lettre, et qu'il y a au moins un x_15 pour lequel x_15 n'est pas excité, nous pouvons en déduire qu'il y a au moins un x_15 pour lequel x_15 va écrire une lettre. La réponse est donc oui. </s> |
<s>[INST] Output the 3rd and 7th element of the following list: [/INST] Third element: 8
Seventh element: 24 </s> |
<s>[INST] Identifier quel instrument est à cordes ou à percussion : Bedug, Moraharpa [/INST] Le Bedug est un instrument de percussion et le Moraharpa est un instrument à cordes. </s> |
<s>[INST] Qu'est-ce qui peut être déduit des prémisses suivantes dans une seule étape d'inférence (ignorant les inférences qui ajoutent de nouveaux prédicats ou constantes)? Pour tous les x_7: P_7{\displaystyle P_7} et Q_7{\displaystyle Q_7}. Pour tout x_7: P_7{\ pos (192,2}) -> Q_2{\ pos (192,2}). Il existe x_7: U_1(x_7). [/INST] Pour tout x_7: P_7(x_7). Pour tout x_7: Q_7{\ pos (192,220) } </s> |
<s>[INST] Given the input, identify the figure of speech being used. [/INST] The figure of speech used in this sentence is a simile. </s> |
<s>[INST] Discuss the implications of climate change [/INST] Climate change has a wide range of implications on our lives. It has the potential to drastically alter weather patterns, diminish food and water supplies, increase the sea levels, and cause displacement of people due to extreme weather events. It could also cause an increase in air pollution and diseases caused by heat and humidity, changes in the availability of natural resources and lead to an increase in species extinction. </s> |
<s>[INST] Create a valid CSS selector to select all the <p> elements [/INST] The valid CSS selector to select all the <p> elements is: p { } </s> |
<s>[INST] List 4 elements of a contract. [/INST] The four elements of a contract are offer, acceptance, consideration, and intent. Offer refers to the proposal for the agreement made by one party. Acceptance is the agreement to the offer by both parties. Consideration is the value of the contract given by each party, such as money or services. Lastly, intent is the clear intention of all parties involved to be legally bound by the agreement. </s> |
<s>[INST] Add a new feature to the given product description [/INST] This phone has a 6-inch display, a 12MP camera, an octa-core processor, and an expandable storage up to 256GB. </s> |
<s>[INST] Suggest a course of action based on the following circumstance: [/INST] Set up a GoFundMe page to help your friend pay for the car repairs. </s> |
<s>[INST] Quels personnages appartiennent à l'univers DC ou Marvel ? Hawkeye, flèche verte [/INST] Hawkeye appartient à l'univers Marvel, tandis que Green Arrow (Flèche verte en français) appartient à l'univers DC. </s> |
<s>[INST] Considérons les hypothèses suivantes. Pour tout x_6: P_6{\displaystyle P_6} ou T_3{\displaystyle T_3} Pour tout x_6: Pour tous les x_6: ~P_6(x_6) ou R_6(x_6). Pour tout x_6: P_3(x_6) <-> T_3(x_6). Pouvons-nous déduire existe x_6: ~R_6(x_6) à partir d'eux? [/INST] De tout x_6: P_6(x_6) ou T_3(x_6), pour tout x_6: ~P_6(x_6) ou R_6(x_6) nous pouvons déduire tout x_6: T_3(x_6) ou R_6(x_6). De tout x_6: P_3(x_6) <-> T_3(x_6), pour tout x_6: ~P_3(x_6) nous pouvons déduire pour tout x_6: ~T_3(x_6). Enfin, à partir de tout x_6: T_3(x_6) ou R_6(x_6), pour tout x_6: ~T_3(x_6), nous pouvons inférer pour tout x_6: R_6(x_6), ce qui contredit existe x_6: ~R_6(x_6). La réponse est donc non. </s> |
<s>[INST] List the best practices for developing a mobile application. [/INST] The best practices for developing a mobile application include using a responsive design, testing on real devices, optimizing images and other resources, using analytics to track user behavior, and making sure the user experience is simple and intuitive. Additionally, leveraging existing libraries and frameworks can help speed up development time and reduce the amount of code that needs to be written. Finally, utilizing the device's hardware capabilities and leveraging push notifications can help drive user engagement and keep users coming back for more. </s> |
<s>[INST] Edit the following sentence to make it more concise: "The food that we ate for the party was absolutely delicious." [/INST] The food for the party was delicious. </s> |
<s>[INST] Qu'est-ce qui peut être déduit des prémisses suivantes dans une seule étape d'inférence (ignorant les inférences qui ajoutent de nouveaux prédicats ou constantes)? Pour tout x_9: P_2(x_9) -> P_9(x_9). Pour tout x_9: Il existe x_9: P_9(x_9) <-> Q_9(x_9). [/INST] Il existe x_9: P_9(x_9) -> Q_9(x_9). Il existe x_9: Q_9(x_9) -> P_9(x_9). Il existe x_9: ~P_9(x_9). </s> |
<s>[INST] Qu'est-ce qui peut être déduit des prémisses suivantes dans une seule étape d'inférence (ignorant les inférences qui ajoutent de nouveaux prédicats ou constantes)? Nommer la règle d'inférence utilisée: pour tout z: T(z) ou ~P_3(z). Il existe z: P_3(z) -> T(z). Pour tout z: T{z} <-> P{z} [/INST] forall z: P_3(z) -> T(z) peut être déduit via la règle de réécriture universelle. forall z: T(z) -> P_3(z) peut être déduite par la règle d'élimination biconditionnelle universelle. forall z: P_3(z) -> T(z) peut être déduit par la règle d'élimination biconditionnelle universelle. </s> |
<s>[INST] Quelle est l'intrigue de Mob Psycho 100 ? [/INST] L'intrigue de Mob Psycho 100 suit donc les aventures de Mob qui cherche à contrôler ses pouvoirs et à vivre une vie normale, malgré les événements surnaturels qui le poursuivent. Il doit faire face à diverses menaces, y compris d'autres espers qui utilisent leur pouvoir pour faire le mal. Tout au long de l'histoire, Mob doit apprendre à gérer ses émotions et à utiliser son pouvoir pour aider les autres plutôt que de l'utiliser pour ses propres intérêts. </s> |
<s>[INST] Considérons les hypothèses suivantes. Pour tout x_10: S(x_10). Pour tout x_10: T_4{\displaystyle T_{4}} Pour tout x_10: W_4(x_10) -> R(x_10). Il existe x_10: T_4{\displaystyle T_{4}} Pouvons-nous déduire pour tous x_10: ~(R(x_10) et S(x_10)) à partir d'eux? Si possible, indiquer les règles d'inférence utilisées à chaque étape. [/INST] De existe x_10: T_4(x_10) nous pouvons inférer existe x_10: T_4(x_10) ou W_4(x_10) par addition existentielle. De forall x_10: T_4(x_10) -> R(x_10), forall x_10: W_4(x_10) -> R(x_10), il existe x_10: T_4(x_10) ou W_4(x_10) nous pouvons déduire il existe x_10: R(x_10) via l'élimination de la disjonction existentielle. Enfin, à partir de existe x_10: R(x_10), pour tout x_10: S(x_10), nous pouvons déduire existe x_10: R(x_10) et S(x_10) via une conjonction existentielle, ce qui contredit pour tout x_10: ~(R(x_10) et S(x_10). La réponse est donc non. </s> |
<s>[INST] Trouvez une solution à ce problème de mathématiques: Tom décide de faire une escapade d'anniversaire à sa femme. Les billets d'avion coûtent 5000 dollars chacun. L'hôtel est 20% plus cher que d'habitude parce que c'est un week-end chargé. Le prix normal est de 1500$ par jour. Si elles sont là pour 3 jours combien a coûté le voyage? [/INST] La chambre d'hôtel est 1500*2 = 300$ plus chère par nuit que la normale donc ils ont payé 1500+300=1800$ par nuit cela signifie qu'elle a payé 1800*3=5400$ les billets d'avion coûtent 5000*2=10 000$ donc le coût total est de 10 000+5400=15 400$ </s> |
<s>[INST] Preform a sentiment analysis of the following sentence. [/INST] This sentence has a positive sentiment. </s> |
<s>[INST] Qu'est-ce qui peut être déduit des prémisses suivantes dans une seule étape d'inférence (ignorant les inférences qui ajoutent de nouveaux prédicats ou constantes)? Nommez la règle d'inférence utilisée: pour tout x: P_12(x) <-> T(x). Le nombre de personnes concernées est fixé par la loi. [/INST] existe x: P_12(x) peut être déduit via la règle de généralisation existentielle. forall x: P_12(x) -> T(x) peut être déduit via la règle d'élimination biconditionnelle universelle. forall x: T(x) -> P_12(x) peut être déduit via la règle d'élimination biconditionnelle universelle. </s> |
<s>[INST] Qu'est-ce qui peut être déduit des prémisses suivantes dans une seule étape d'inférence (ignorant les inférences qui ajoutent de nouveaux prédicats ou constantes)? Nommer la règle d'inférence utilisée: ~q_8. p -> q. q <-> q_8. [/INST] q -> q_8 peut être déduit via la règle d'élimination biconditionnelle. q_8 -> q peut être déduit via la règle d'élimination biconditionnelle. ~q peut être déduit via la règle d'élimination biconditionnelle. </s> |
<s>[INST] Compute the discriminant of the equation x^2+2x+2=0. [/INST] The discriminant of the equation x^2 + 2x + 2 = 0 is 4. </s> |
<s>[INST] Evaluate if the input statement can be generalized to all cases. [/INST] No, this statement cannot be generalized to all cases. </s> |
<s>[INST] Compose a tweet that encourages social distacity. [/INST] Stay safe and stay home. Keep up social distancing! #StaySafe #KeepYourDistance #SocialDistancing </s> |
<s>[INST] Tell me two different ways to cook rice. [/INST] Two different ways to cook rice include boiling and steaming. Boiling relies on boiling water to cook the rice, while steaming requires adding the rice to a steamer basket before placing it over boiling water. </s> |
<s>[INST] Generate an original story using the given theme. [/INST] Once upon a time, there lived a woman named Mary. She was an ageing woman, and while the wrinkle lines and greying hair signified with age, Mary still took pride in tending to and cherishing both her beauty and health.
She kept up with the trends and maintained her figure, however, her greatest joy was found in teaching her grandchildren about the importance of longevity and health.
Mary developed a special routine for herself that she honed and improved over the years. Every morning, she awoke, paused to smell the flowers in her garden, took a brisk walk, and made a healthy breakfast with natural foods.
After breakfast, she spent time with her grandchildren and taught them lessons on life, love, and kindness.
At the end of each day, she enjoyed watching the sunset in her own backyard, reflecting on the day, and praising God for all of the wonderful people and moments of her life.
Though Mary may have been ageing, her spirit was eternally young and vibrant, and each day she showed the world that age is merely a number. </s> |
<s>[INST] Discuss the environmental and health impacts of deforestation. [/INST] Deforestation has a range of environmental and health impacts. By cutting down large swaths of trees, deforestation can directly contribute to global warming and climate change by reducing the amount of carbon dioxide absorbed by plants. It can also lead to increased erosion and flooding, as trees provide the necessary physical structure to stabilize a landscape. In addition, deforestation reduces the biodiversity of an area, removes habitats for animals, and reduces the availability of natural medicines, fruits and nuts. Deforestation can also lead to health problems such as air and water pollution, respiratory issues from smoke and dust, and weakened immune systems from exposure to toxins. </s> |
<s>[INST] Considérons les hypothèses suivantes. p_8 -> u. u <-> t_2 est le nombre de points de référence. Le nombre de points de contact est indiqué dans le tableau 2. On peut en déduire? Si possible, indiquer les règles d'inférence utilisées à chaque étape. [/INST] Ça contredit les prémisses. La réponse est donc non. </s> |
<s>[INST] Assign the following verb a category of either transitive, intransitive, or linking. [/INST] Intransitive. </s> |
<s>[INST] Traduisez l'inférence suivante en notation logique: Pour tout x, si x_9 était un concierge, alors x_9 fait du thé. Pour tout x, si x_9 était un marin, alors x_9 dort. Pour tout x, x_9 va dormir ou x_9 n'est pas triste. Pour tout x, si x_9 fait du thé, alors x_9 est un marin. Il y a au moins un x pour lequel x_9 est un concierge ou x_9 est triste. Par conséquent, il y a au moins un x pour lequel x_9 va dormir. [/INST] Pour tout x: P{\displaystyle P} Pour tout x: R{\displaystyle R} Pour tout x: S(x) ou ~T(x). Pour tout x: Q(x) -> R(x). Il existe x: P (x) ou T (x). Il existe donc x: S(x). </s> |
<s>[INST] Considérons les hypothèses suivantes. q_20 ou ~u_4. Le nombre de personnes concernées est le nombre de personnes concernées. - Je suis désolé. Pouvons-nous en déduire ~q_20 ou r_3? Si possible, indiquer les règles d'inférence utilisées à chaque étape. [/INST] De u_4 <-> q_20 nous pouvons inférer q_20 -> u_4 par élimination biconditionnelle. De q_20 ou ~u_4 nous pouvons inférer u_4 -> q_20 via la réécriture. De q_20 -> u_4, u_4 -> q_20 nous pouvons déduire q_20 <-> u_4 par l'intermédiaire d'une introduction biconditionnelle. De q_20 <-> u_4, ~u_4 nous pouvons déduire ~q_20 par élimination biconditionnelle. Enfin, à partir de ~q_20 nous pouvons inférer ~q_20 ou r_3 via l'addition. La réponse est donc oui. </s> |
<s>[INST] Describe the scenario of two people eating at a restaurant for the first time [/INST] Two people enter a cozy restaurant and are warmly welcomed by their friendly server. As they peruse the menu, they discuss what dishes look the most appetizing. They decide to both order the daily special and eagerly await their food. As they eat and chat, the two find that the food is even better than what the menu suggested. They make a mental note to come back and try other dishes. </s> |
<s>[INST] Sort the following words into adjectives and adverbs. [/INST] Adjectives: Fast, pleasant
Adverbs: quickly, wisely </s> |
<s>[INST] Qu'est-ce qui peut être déduit des prémisses suivantes dans une seule étape d'inférence (ignorant les inférences qui ajoutent de nouveaux prédicats ou constantes)? Nommez la règle d'inférence utilisée: Pour tous les x_7, x_7 jouera au squash si et seulement si x_7 conduit une voiture. Pour tous les x_7, x_7 conduira une voiture si et seulement si x_7 est un chauffeur de taxi. [/INST] Pour tous les x_7, si x_7 joue au squash, alors x_7 conduit une voiture peut être déduit via la règle d'élimination biconditionnelle universelle. Pour tous les x_7, si x_7 conduit une voiture, alors x_7 est un chauffeur de taxi peut être déduit via la règle d'élimination biconditionnelle universelle. Pour tous les x_7, si x_7 conduit une voiture, alors x_7 joue au squash peut être déduit via la règle d'élimination biconditionnelle universelle. Pour tous les x_7, si x_7 était un chauffeur de taxi, alors x_7 conduit une voiture peut être déduite via la règle d'élimination biconditionnelle universelle. </s> |
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