user: Demonstrate the C code that generates the assembly output below:

```asm
<slowprove>:
  endbr64
  push   %rbp
  mov    %rsp,%rbp
  sub    $0x50,%rsp
  mov    %rdi,-0x38(%rbp)
  mov    %rsi,-0x40(%rbp)
  mov    %edx,-0x44(%rbp)
  cmpq   $0x0,-0x38(%rbp)
  je     L7
  cmpq   $0x0,-0x40(%rbp)
  jne    L32
L7:
  mov    $0x0,%eax
  jmp    L155
L32:
  mov    -0x40(%rbp),%rdx
  mov    -0x38(%rbp),%rax
  mov    $0x0,%ecx
  mov    $0x0,%esi
  mov    %rax,%rdi
  call   <equiv@plt>
  test   %rax,%rax
  je     L230
  mov    $0x1,%eax
  jmp    L155
L230:
  mov    -0x38(%rbp),%rax
  mov    $0x0,%esi
  mov    %rax,%rdi
  call   <validinputs@plt>
  add    $0x1,%eax
  cmp    %eax,-0x44(%rbp)
  jg     L210
  mov    $0x0,%eax
  jmp    L155
L210:
  mov    -0x38(%rbp),%rax
  mov    %rax,%rdi
  call   <r_mix@plt>
  mov    %rax,-0x18(%rbp)
  mov    -0x18(%rbp),%rax
  mov    %rax,%rdi
  call   <length_l@plt>
  mov    %eax,-0x24(%rbp)
  mov    -0x40(%rbp),%rdx
  mov    -0x24(%rbp),%ecx
  mov    -0x18(%rbp),%rax
  mov    %ecx,%esi
  mov    %rax,%rdi
  call   <find@plt>
  test   %rax,%rax
  js     L223
  mov    -0x18(%rbp),%rax
  mov    %rax,%rdi
  call   <free_l@plt>
  mov    $0x1,%eax
  jmp    L155
L223:
  mov    -0x38(%rbp),%rax
  mov    %rax,%rdi
  call   <r_switch@plt>
  mov    %rax,-0x10(%rbp)
  mov    -0x10(%rbp),%rax
  mov    %rax,%rdi
  call   <length_l@plt>
  mov    %eax,-0x20(%rbp)
  mov    -0x40(%rbp),%rdx
  mov    -0x20(%rbp),%ecx
  mov    -0x10(%rbp),%rax
  mov    %ecx,%esi
  mov    %rax,%rdi
  call   <find@plt>
  test   %rax,%rax
  js     L148
  mov    -0x18(%rbp),%rax
  mov    %rax,%rdi
  call   <free_l@plt>
  mov    -0x10(%rbp),%rax
  mov    %rax,%rdi
  call   <free_l@plt>
  mov    $0x1,%eax
  jmp    L155
L148:
  mov    -0x38(%rbp),%rax
  mov    %rax,%rdi
  call   <r_medial@plt>
  mov    %rax,-0x8(%rbp)
  mov    -0x8(%rbp),%rax
  mov    %rax,%rdi
  call   <length_l@plt>
  mov    %eax,-0x1c(%rbp)
  mov    -0x40(%rbp),%rdx
  mov    -0x1c(%rbp),%ecx
  mov    -0x8(%rbp),%rax
  mov    %ecx,%esi
  mov    %rax,%rdi
  call   <find@plt>
  test   %rax,%rax
  js     L84
  mov    -0x18(%rbp),%rax
  mov    %rax,%rdi
  call   <free_l@plt>
  mov    -0x10(%rbp),%rax
  mov    %rax,%rdi
  call   <free_l@plt>
  mov    -0x8(%rbp),%rax
  mov    %rax,%rdi
  call   <free_l@plt>
  mov    $0x1,%eax
  jmp    L155
L84:
  movl   $0x0,-0x28(%rbp)
  jmp    L144
L28:
  mov    -0x28(%rbp),%eax
  cltq
  lea    0x0(,%rax,8),%rdx
  mov    -0x18(%rbp),%rax
  add    %rdx,%rax
  mov    (%rax),%rax
  mov    -0x44(%rbp),%edx
  mov    -0x40(%rbp),%rcx
  mov    %rcx,%rsi
  mov    %rax,%rdi
  call   <slowprove>
  test   %eax,%eax
  je     L111
  mov    -0x18(%rbp),%rax
  mov    %rax,%rdi
  call   <free_l@plt>
  mov    -0x10(%rbp),%rax
  mov    %rax,%rdi
  call   <free_l@plt>
  mov    -0x8(%rbp),%rax
  mov    %rax,%rdi
  call   <free_l@plt>
  mov    $0x1,%eax
  jmp    L155
L111:
  addl   $0x1,-0x28(%rbp)
L144:
  mov    -0x28(%rbp),%eax
  cmp    -0x24(%rbp),%eax
  jl     L28
  movl   $0x0,-0x28(%rbp)
  jmp    L161
L74:
  mov    -0x28(%rbp),%eax
  cltq
  lea    0x0(,%rax,8),%rdx
  mov    -0x10(%rbp),%rax
  add    %rdx,%rax
  mov    (%rax),%rax
  mov    -0x44(%rbp),%edx
  mov    -0x40(%rbp),%rcx
  mov    %rcx,%rsi
  mov    %rax,%rdi
  call   <slowprove>
  test   %eax,%eax
  je     L103
  mov    -0x18(%rbp),%rax
  mov    %rax,%rdi
  call   <free_l@plt>
  mov    -0x10(%rbp),%rax
  mov    %rax,%rdi
  call   <free_l@plt>
  mov    -0x8(%rbp),%rax
  mov    %rax,%rdi
  call   <free_l@plt>
  mov    $0x1,%eax
  jmp    L155
L103:
  addl   $0x1,-0x28(%rbp)
L161:
  mov    -0x28(%rbp),%eax
  cmp    -0x20(%rbp),%eax
  jl     L74
  movl   $0x0,-0x28(%rbp)
  jmp    L39
L29:
  mov    -0x28(%rbp),%eax
  cltq
  lea    0x0(,%rax,8),%rdx
  mov    -0x8(%rbp),%rax
  add    %rdx,%rax
  mov    (%rax),%rax
  mov    -0x44(%rbp),%edx
  mov    -0x40(%rbp),%rcx
  mov    %rcx,%rsi
  mov    %rax,%rdi
  call   <slowprove>
  test   %eax,%eax
  je     L196
  mov    -0x18(%rbp),%rax
  mov    %rax,%rdi
  call   <free_l@plt>
  mov    -0x10(%rbp),%rax
  mov    %rax,%rdi
  call   <free_l@plt>
  mov    -0x8(%rbp),%rax
  mov    %rax,%rdi
  call   <free_l@plt>
  mov    $0x1,%eax
  jmp    L155
L196:
  addl   $0x1,-0x28(%rbp)
L39:
  mov    -0x28(%rbp),%eax
  cmp    -0x1c(%rbp),%eax
  jl     L29
  mov    -0x18(%rbp),%rax
  mov    %rax,%rdi
  call   <free_l@plt>
  mov    -0x10(%rbp),%rax
  mov    %rax,%rdi
  call   <free_l@plt>
  mov    -0x8(%rbp),%rax
  mov    %rax,%rdi
  call   <free_l@plt>
  mov    $0x0,%eax
L155:
  leave
  ret
```

assistant: ```c
int slowprove(int *f1, int *f2, int f2vi) {
  if (f1 == NULL || f2 == NULL)
    return 0;
  if (equiv(f1, NULL, f2, NULL))
    return 1;
  if (validinputs(f1, NULL) + 2 > f2vi)
    return 0;
  int **next_mix = r_mix(f1);
  int n_next_mix = length_l((void **)next_mix);
  if (find(next_mix, n_next_mix, f2) >= 0) {
    free_l((void **)next_mix);
    return 1;
  }
  int **next_switch = r_switch(f1);
  int n_next_switch = length_l((void **)next_switch);
  if (find(next_switch, n_next_switch, f2) >= 0) {
    free_l((void **)next_mix);
    free_l((void **)next_switch);
    return 1;
  }
  int **next_medial = r_medial(f1);
  int n_next_medial = length_l((void **)next_medial);
  if (find(next_medial, n_next_medial, f2) >= 0) {
    free_l((void **)next_mix);
    free_l((void **)next_switch);
    free_l((void **)next_medial);
    return 1;
  }
  int i;
  for (i = 0; i < n_next_mix; i++) {
    if (slowprove(next_mix[i], f2, f2vi)) {
      free_l((void **)next_mix);
      free_l((void **)next_switch);
      free_l((void **)next_medial);
      return 1;
    }
  }
  for (i = 0; i < n_next_switch; i++) {
    if (slowprove(next_switch[i], f2, f2vi)) {
      free_l((void **)next_mix);
      free_l((void **)next_switch);
      free_l((void **)next_medial);
      return 1;
    }
  }
  for (i = 0; i < n_next_medial; i++) {
    if (slowprove(next_medial[i], f2, f2vi)) {
      free_l((void **)next_mix);
      free_l((void **)next_switch);
      free_l((void **)next_medial);
      return 1;
    }
  }
  free_l((void **)next_mix);
  free_l((void **)next_switch);
  free_l((void **)next_medial);
  return 0;
}
```