TSTP Solution File: SET746+4 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET746+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 03:01:24 EDT 2024

% Result   : Theorem 90.74s 12.85s
% Output   : CNFRefutation 90.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   98 (  15 unt;   0 def)
%            Number of atoms       :  467 (  40 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  604 ( 235   ~; 249   |; 102   &)
%                                         (   8 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-5 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-5 aty)
%            Number of variables   :  464 (   0 sgn 219   !;  43   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,axiom,
    ! [X9,X5,X0,X1,X10,X2,X11] :
      ( ( member(X11,X10)
        & member(X2,X0) )
     => ( apply(compose_function(X9,X5,X0,X1,X10),X2,X11)
      <=> ? [X4] :
            ( apply(X9,X4,X11)
            & apply(X5,X2,X4)
            & member(X4,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_function) ).

fof(f26,axiom,
    ! [X5,X0,X14,X1,X15] :
      ( increasing(X5,X0,X14,X1,X15)
    <=> ! [X12,X6,X13,X7] :
          ( ( apply(X5,X13,X7)
            & apply(X5,X12,X6)
            & apply(X14,X12,X13)
            & member(X7,X1)
            & member(X13,X0)
            & member(X6,X1)
            & member(X12,X0) )
         => apply(X15,X6,X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',increasing_function) ).

fof(f29,conjecture,
    ! [X5,X9,X0,X1,X10,X14,X15,X16] :
      ( ( increasing(X9,X1,X15,X10,X16)
        & increasing(X5,X0,X14,X1,X15)
        & maps(X9,X1,X10)
        & maps(X5,X0,X1) )
     => increasing(compose_function(X9,X5,X0,X1,X10),X0,X14,X10,X16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII37) ).

fof(f30,negated_conjecture,
    ~ ! [X5,X9,X0,X1,X10,X14,X15,X16] :
        ( ( increasing(X9,X1,X15,X10,X16)
          & increasing(X5,X0,X14,X1,X15)
          & maps(X9,X1,X10)
          & maps(X5,X0,X1) )
       => increasing(compose_function(X9,X5,X0,X1,X10),X0,X14,X10,X16) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f42,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( member(X6,X4)
        & member(X5,X2) )
     => ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      <=> ? [X7] :
            ( apply(X0,X7,X6)
            & apply(X1,X5,X7)
            & member(X7,X3) ) ) ),
    inference(rectify,[],[f14]) ).

fof(f54,plain,
    ! [X0,X1,X2,X3,X4] :
      ( increasing(X0,X1,X2,X3,X4)
    <=> ! [X5,X6,X7,X8] :
          ( ( apply(X0,X7,X8)
            & apply(X0,X5,X6)
            & apply(X2,X5,X7)
            & member(X8,X3)
            & member(X7,X1)
            & member(X6,X3)
            & member(X5,X1) )
         => apply(X4,X6,X8) ) ),
    inference(rectify,[],[f26]) ).

fof(f57,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
        ( ( increasing(X1,X3,X6,X4,X7)
          & increasing(X0,X2,X5,X3,X6)
          & maps(X1,X3,X4)
          & maps(X0,X2,X3) )
       => increasing(compose_function(X1,X0,X2,X3,X4),X2,X5,X4,X7) ),
    inference(rectify,[],[f30]) ).

fof(f63,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      <=> ? [X7] :
            ( apply(X0,X7,X6)
            & apply(X1,X5,X7)
            & member(X7,X3) ) )
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f64,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      <=> ? [X7] :
            ( apply(X0,X7,X6)
            & apply(X1,X5,X7)
            & member(X7,X3) ) )
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(flattening,[],[f63]) ).

fof(f67,plain,
    ! [X0,X1,X2,X3,X4] :
      ( increasing(X0,X1,X2,X3,X4)
    <=> ! [X5,X6,X7,X8] :
          ( apply(X4,X6,X8)
          | ~ apply(X0,X7,X8)
          | ~ apply(X0,X5,X6)
          | ~ apply(X2,X5,X7)
          | ~ member(X8,X3)
          | ~ member(X7,X1)
          | ~ member(X6,X3)
          | ~ member(X5,X1) ) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f68,plain,
    ! [X0,X1,X2,X3,X4] :
      ( increasing(X0,X1,X2,X3,X4)
    <=> ! [X5,X6,X7,X8] :
          ( apply(X4,X6,X8)
          | ~ apply(X0,X7,X8)
          | ~ apply(X0,X5,X6)
          | ~ apply(X2,X5,X7)
          | ~ member(X8,X3)
          | ~ member(X7,X1)
          | ~ member(X6,X3)
          | ~ member(X5,X1) ) ),
    inference(flattening,[],[f67]) ).

fof(f69,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ increasing(compose_function(X1,X0,X2,X3,X4),X2,X5,X4,X7)
      & increasing(X1,X3,X6,X4,X7)
      & increasing(X0,X2,X5,X3,X6)
      & maps(X1,X3,X4)
      & maps(X0,X2,X3) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f70,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ increasing(compose_function(X1,X0,X2,X3,X4),X2,X5,X4,X7)
      & increasing(X1,X3,X6,X4,X7)
      & increasing(X0,X2,X5,X3,X6)
      & maps(X1,X3,X4)
      & maps(X0,X2,X3) ),
    inference(flattening,[],[f69]) ).

fof(f95,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
          | ! [X7] :
              ( ~ apply(X0,X7,X6)
              | ~ apply(X1,X5,X7)
              | ~ member(X7,X3) ) )
        & ( ? [X7] :
              ( apply(X0,X7,X6)
              & apply(X1,X5,X7)
              & member(X7,X3) )
          | ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f96,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
          | ! [X7] :
              ( ~ apply(X0,X7,X6)
              | ~ apply(X1,X5,X7)
              | ~ member(X7,X3) ) )
        & ( ? [X8] :
              ( apply(X0,X8,X6)
              & apply(X1,X5,X8)
              & member(X8,X3) )
          | ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(rectify,[],[f95]) ).

fof(f97,plain,
    ! [X0,X1,X3,X5,X6] :
      ( ? [X8] :
          ( apply(X0,X8,X6)
          & apply(X1,X5,X8)
          & member(X8,X3) )
     => ( apply(X0,sK4(X0,X1,X3,X5,X6),X6)
        & apply(X1,X5,sK4(X0,X1,X3,X5,X6))
        & member(sK4(X0,X1,X3,X5,X6),X3) ) ),
    introduced(choice_axiom,[]) ).

fof(f98,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
          | ! [X7] :
              ( ~ apply(X0,X7,X6)
              | ~ apply(X1,X5,X7)
              | ~ member(X7,X3) ) )
        & ( ( apply(X0,sK4(X0,X1,X3,X5,X6),X6)
            & apply(X1,X5,sK4(X0,X1,X3,X5,X6))
            & member(sK4(X0,X1,X3,X5,X6),X3) )
          | ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f96,f97]) ).

fof(f118,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( increasing(X0,X1,X2,X3,X4)
        | ? [X5,X6,X7,X8] :
            ( ~ apply(X4,X6,X8)
            & apply(X0,X7,X8)
            & apply(X0,X5,X6)
            & apply(X2,X5,X7)
            & member(X8,X3)
            & member(X7,X1)
            & member(X6,X3)
            & member(X5,X1) ) )
      & ( ! [X5,X6,X7,X8] :
            ( apply(X4,X6,X8)
            | ~ apply(X0,X7,X8)
            | ~ apply(X0,X5,X6)
            | ~ apply(X2,X5,X7)
            | ~ member(X8,X3)
            | ~ member(X7,X1)
            | ~ member(X6,X3)
            | ~ member(X5,X1) )
        | ~ increasing(X0,X1,X2,X3,X4) ) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f119,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( increasing(X0,X1,X2,X3,X4)
        | ? [X5,X6,X7,X8] :
            ( ~ apply(X4,X6,X8)
            & apply(X0,X7,X8)
            & apply(X0,X5,X6)
            & apply(X2,X5,X7)
            & member(X8,X3)
            & member(X7,X1)
            & member(X6,X3)
            & member(X5,X1) ) )
      & ( ! [X9,X10,X11,X12] :
            ( apply(X4,X10,X12)
            | ~ apply(X0,X11,X12)
            | ~ apply(X0,X9,X10)
            | ~ apply(X2,X9,X11)
            | ~ member(X12,X3)
            | ~ member(X11,X1)
            | ~ member(X10,X3)
            | ~ member(X9,X1) )
        | ~ increasing(X0,X1,X2,X3,X4) ) ),
    inference(rectify,[],[f118]) ).

fof(f120,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ? [X5,X6,X7,X8] :
          ( ~ apply(X4,X6,X8)
          & apply(X0,X7,X8)
          & apply(X0,X5,X6)
          & apply(X2,X5,X7)
          & member(X8,X3)
          & member(X7,X1)
          & member(X6,X3)
          & member(X5,X1) )
     => ( ~ apply(X4,sK10(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4))
        & apply(X0,sK11(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4))
        & apply(X0,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
        & apply(X2,sK9(X0,X1,X2,X3,X4),sK11(X0,X1,X2,X3,X4))
        & member(sK12(X0,X1,X2,X3,X4),X3)
        & member(sK11(X0,X1,X2,X3,X4),X1)
        & member(sK10(X0,X1,X2,X3,X4),X3)
        & member(sK9(X0,X1,X2,X3,X4),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( increasing(X0,X1,X2,X3,X4)
        | ( ~ apply(X4,sK10(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4))
          & apply(X0,sK11(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4))
          & apply(X0,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
          & apply(X2,sK9(X0,X1,X2,X3,X4),sK11(X0,X1,X2,X3,X4))
          & member(sK12(X0,X1,X2,X3,X4),X3)
          & member(sK11(X0,X1,X2,X3,X4),X1)
          & member(sK10(X0,X1,X2,X3,X4),X3)
          & member(sK9(X0,X1,X2,X3,X4),X1) ) )
      & ( ! [X9,X10,X11,X12] :
            ( apply(X4,X10,X12)
            | ~ apply(X0,X11,X12)
            | ~ apply(X0,X9,X10)
            | ~ apply(X2,X9,X11)
            | ~ member(X12,X3)
            | ~ member(X11,X1)
            | ~ member(X10,X3)
            | ~ member(X9,X1) )
        | ~ increasing(X0,X1,X2,X3,X4) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f119,f120]) ).

fof(f122,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
        ( ~ increasing(compose_function(X1,X0,X2,X3,X4),X2,X5,X4,X7)
        & increasing(X1,X3,X6,X4,X7)
        & increasing(X0,X2,X5,X3,X6)
        & maps(X1,X3,X4)
        & maps(X0,X2,X3) )
   => ( ~ increasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)
      & increasing(sK14,sK16,sK19,sK17,sK20)
      & increasing(sK13,sK15,sK18,sK16,sK19)
      & maps(sK14,sK16,sK17)
      & maps(sK13,sK15,sK16) ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ( ~ increasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)
    & increasing(sK14,sK16,sK19,sK17,sK20)
    & increasing(sK13,sK15,sK18,sK16,sK19)
    & maps(sK14,sK16,sK17)
    & maps(sK13,sK15,sK16) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20])],[f70,f122]) ).

fof(f153,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( member(sK4(X0,X1,X3,X5,X6),X3)
      | ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f154,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( apply(X1,X5,sK4(X0,X1,X3,X5,X6))
      | ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f155,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( apply(X0,sK4(X0,X1,X3,X5,X6),X6)
      | ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f173,plain,
    ! [X2,X3,X10,X0,X11,X1,X9,X4,X12] :
      ( apply(X4,X10,X12)
      | ~ apply(X0,X11,X12)
      | ~ apply(X0,X9,X10)
      | ~ apply(X2,X9,X11)
      | ~ member(X12,X3)
      | ~ member(X11,X1)
      | ~ member(X10,X3)
      | ~ member(X9,X1)
      | ~ increasing(X0,X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f174,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X0,X1,X2,X3,X4)
      | member(sK9(X0,X1,X2,X3,X4),X1) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f175,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X0,X1,X2,X3,X4)
      | member(sK10(X0,X1,X2,X3,X4),X3) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f176,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X0,X1,X2,X3,X4)
      | member(sK11(X0,X1,X2,X3,X4),X1) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f177,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X0,X1,X2,X3,X4)
      | member(sK12(X0,X1,X2,X3,X4),X3) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f178,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X0,X1,X2,X3,X4)
      | apply(X2,sK9(X0,X1,X2,X3,X4),sK11(X0,X1,X2,X3,X4)) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f179,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X0,X1,X2,X3,X4)
      | apply(X0,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4)) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f180,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X0,X1,X2,X3,X4)
      | apply(X0,sK11(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4)) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f181,plain,
    ! [X2,X3,X0,X1,X4] :
      ( increasing(X0,X1,X2,X3,X4)
      | ~ apply(X4,sK10(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4)) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f184,plain,
    increasing(sK13,sK15,sK18,sK16,sK19),
    inference(cnf_transformation,[],[f123]) ).

fof(f185,plain,
    increasing(sK14,sK16,sK19,sK17,sK20),
    inference(cnf_transformation,[],[f123]) ).

fof(f186,plain,
    ~ increasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),
    inference(cnf_transformation,[],[f123]) ).

cnf(c_79,plain,
    ( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
    | ~ member(X5,X2)
    | ~ member(X6,X4)
    | apply(X0,sK4(X0,X1,X3,X5,X6),X6) ),
    inference(cnf_transformation,[],[f155]) ).

cnf(c_80,plain,
    ( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
    | ~ member(X5,X2)
    | ~ member(X6,X4)
    | apply(X1,X5,sK4(X0,X1,X3,X5,X6)) ),
    inference(cnf_transformation,[],[f154]) ).

cnf(c_81,plain,
    ( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
    | ~ member(X5,X2)
    | ~ member(X6,X4)
    | member(sK4(X0,X1,X3,X5,X6),X3) ),
    inference(cnf_transformation,[],[f153]) ).

cnf(c_98,plain,
    ( ~ apply(X0,sK10(X1,X2,X3,X4,X0),sK12(X1,X2,X3,X4,X0))
    | increasing(X1,X2,X3,X4,X0) ),
    inference(cnf_transformation,[],[f181]) ).

cnf(c_99,plain,
    ( apply(X0,sK11(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4))
    | increasing(X0,X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f180]) ).

cnf(c_100,plain,
    ( apply(X0,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
    | increasing(X0,X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f179]) ).

cnf(c_101,plain,
    ( apply(X0,sK9(X1,X2,X0,X3,X4),sK11(X1,X2,X0,X3,X4))
    | increasing(X1,X2,X0,X3,X4) ),
    inference(cnf_transformation,[],[f178]) ).

cnf(c_102,plain,
    ( member(sK12(X0,X1,X2,X3,X4),X3)
    | increasing(X0,X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f177]) ).

cnf(c_103,plain,
    ( member(sK11(X0,X1,X2,X3,X4),X1)
    | increasing(X0,X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f176]) ).

cnf(c_104,plain,
    ( member(sK10(X0,X1,X2,X3,X4),X3)
    | increasing(X0,X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f175]) ).

cnf(c_105,plain,
    ( member(sK9(X0,X1,X2,X3,X4),X1)
    | increasing(X0,X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f174]) ).

cnf(c_106,plain,
    ( ~ increasing(X0,X1,X2,X3,X4)
    | ~ apply(X0,X5,X6)
    | ~ apply(X0,X7,X8)
    | ~ apply(X2,X7,X5)
    | ~ member(X5,X1)
    | ~ member(X6,X3)
    | ~ member(X7,X1)
    | ~ member(X8,X3)
    | apply(X4,X8,X6) ),
    inference(cnf_transformation,[],[f173]) ).

cnf(c_107,negated_conjecture,
    ~ increasing(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),
    inference(cnf_transformation,[],[f186]) ).

cnf(c_108,negated_conjecture,
    increasing(sK14,sK16,sK19,sK17,sK20),
    inference(cnf_transformation,[],[f185]) ).

cnf(c_109,negated_conjecture,
    increasing(sK13,sK15,sK18,sK16,sK19),
    inference(cnf_transformation,[],[f184]) ).

cnf(c_231,plain,
    ( ~ apply(X0,sK10(X1,X2,X3,X4,X0),sK12(X1,X2,X3,X4,X0))
    | increasing(X1,X2,X3,X4,X0) ),
    inference(prop_impl_just,[status(thm)],[c_98]) ).

cnf(c_233,plain,
    ( increasing(X0,X1,X2,X3,X4)
    | apply(X0,sK11(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4)) ),
    inference(prop_impl_just,[status(thm)],[c_99]) ).

cnf(c_234,plain,
    ( apply(X0,sK11(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4))
    | increasing(X0,X1,X2,X3,X4) ),
    inference(renaming,[status(thm)],[c_233]) ).

cnf(c_235,plain,
    ( increasing(X0,X1,X2,X3,X4)
    | apply(X0,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4)) ),
    inference(prop_impl_just,[status(thm)],[c_100]) ).

cnf(c_236,plain,
    ( apply(X0,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4))
    | increasing(X0,X1,X2,X3,X4) ),
    inference(renaming,[status(thm)],[c_235]) ).

cnf(c_237,plain,
    ( increasing(X0,X1,X2,X3,X4)
    | member(sK12(X0,X1,X2,X3,X4),X3) ),
    inference(prop_impl_just,[status(thm)],[c_102]) ).

cnf(c_238,plain,
    ( member(sK12(X0,X1,X2,X3,X4),X3)
    | increasing(X0,X1,X2,X3,X4) ),
    inference(renaming,[status(thm)],[c_237]) ).

cnf(c_239,plain,
    ( increasing(X0,X1,X2,X3,X4)
    | member(sK11(X0,X1,X2,X3,X4),X1) ),
    inference(prop_impl_just,[status(thm)],[c_103]) ).

cnf(c_240,plain,
    ( member(sK11(X0,X1,X2,X3,X4),X1)
    | increasing(X0,X1,X2,X3,X4) ),
    inference(renaming,[status(thm)],[c_239]) ).

cnf(c_241,plain,
    ( increasing(X0,X1,X2,X3,X4)
    | member(sK10(X0,X1,X2,X3,X4),X3) ),
    inference(prop_impl_just,[status(thm)],[c_104]) ).

cnf(c_242,plain,
    ( member(sK10(X0,X1,X2,X3,X4),X3)
    | increasing(X0,X1,X2,X3,X4) ),
    inference(renaming,[status(thm)],[c_241]) ).

cnf(c_243,plain,
    ( increasing(X0,X1,X2,X3,X4)
    | member(sK9(X0,X1,X2,X3,X4),X1) ),
    inference(prop_impl_just,[status(thm)],[c_105]) ).

cnf(c_244,plain,
    ( member(sK9(X0,X1,X2,X3,X4),X1)
    | increasing(X0,X1,X2,X3,X4) ),
    inference(renaming,[status(thm)],[c_243]) ).

cnf(c_281,plain,
    ( apply(X0,sK9(X1,X2,X0,X3,X4),sK11(X1,X2,X0,X3,X4))
    | increasing(X1,X2,X0,X3,X4) ),
    inference(prop_impl_just,[status(thm)],[c_101]) ).

cnf(c_1093,plain,
    ( compose_function(sK14,sK13,sK15,sK16,sK17) != X1
    | X0 != sK20
    | X2 != sK15
    | X3 != sK18
    | X4 != sK17
    | ~ apply(X0,sK10(X1,X2,X3,X4,X0),sK12(X1,X2,X3,X4,X0)) ),
    inference(resolution_lifted,[status(thm)],[c_231,c_107]) ).

cnf(c_1094,plain,
    ~ apply(sK20,sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),
    inference(unflattening,[status(thm)],[c_1093]) ).

cnf(c_1127,plain,
    ( compose_function(sK14,sK13,sK15,sK16,sK17) != X0
    | X1 != sK15
    | X2 != sK18
    | X3 != sK17
    | X4 != sK20
    | member(sK9(X0,X1,X2,X3,X4),X1) ),
    inference(resolution_lifted,[status(thm)],[c_244,c_107]) ).

cnf(c_1128,plain,
    member(sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15),
    inference(unflattening,[status(thm)],[c_1127]) ).

cnf(c_1132,plain,
    ( compose_function(sK14,sK13,sK15,sK16,sK17) != X0
    | X1 != sK15
    | X2 != sK18
    | X3 != sK17
    | X4 != sK20
    | member(sK10(X0,X1,X2,X3,X4),X3) ),
    inference(resolution_lifted,[status(thm)],[c_242,c_107]) ).

cnf(c_1133,plain,
    member(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17),
    inference(unflattening,[status(thm)],[c_1132]) ).

cnf(c_1137,plain,
    ( compose_function(sK14,sK13,sK15,sK16,sK17) != X0
    | X1 != sK15
    | X2 != sK18
    | X3 != sK17
    | X4 != sK20
    | member(sK11(X0,X1,X2,X3,X4),X1) ),
    inference(resolution_lifted,[status(thm)],[c_240,c_107]) ).

cnf(c_1138,plain,
    member(sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15),
    inference(unflattening,[status(thm)],[c_1137]) ).

cnf(c_1142,plain,
    ( compose_function(sK14,sK13,sK15,sK16,sK17) != X0
    | X1 != sK15
    | X2 != sK18
    | X3 != sK17
    | X4 != sK20
    | member(sK12(X0,X1,X2,X3,X4),X3) ),
    inference(resolution_lifted,[status(thm)],[c_238,c_107]) ).

cnf(c_1143,plain,
    member(sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17),
    inference(unflattening,[status(thm)],[c_1142]) ).

cnf(c_1147,plain,
    ( compose_function(sK14,sK13,sK15,sK16,sK17) != X0
    | X1 != sK15
    | X2 != sK18
    | X3 != sK17
    | X4 != sK20
    | apply(X0,sK9(X0,X1,X2,X3,X4),sK10(X0,X1,X2,X3,X4)) ),
    inference(resolution_lifted,[status(thm)],[c_236,c_107]) ).

cnf(c_1148,plain,
    apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),
    inference(unflattening,[status(thm)],[c_1147]) ).

cnf(c_1152,plain,
    ( compose_function(sK14,sK13,sK15,sK16,sK17) != X0
    | X1 != sK15
    | X2 != sK18
    | X3 != sK17
    | X4 != sK20
    | apply(X0,sK11(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4)) ),
    inference(resolution_lifted,[status(thm)],[c_234,c_107]) ).

cnf(c_1153,plain,
    apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),
    inference(unflattening,[status(thm)],[c_1152]) ).

cnf(c_1211,plain,
    ( compose_function(sK14,sK13,sK15,sK16,sK17) != X1
    | X0 != sK18
    | X2 != sK15
    | X3 != sK17
    | X4 != sK20
    | apply(X0,sK9(X1,X2,X0,X3,X4),sK11(X1,X2,X0,X3,X4)) ),
    inference(resolution_lifted,[status(thm)],[c_281,c_107]) ).

cnf(c_1212,plain,
    apply(sK18,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),
    inference(unflattening,[status(thm)],[c_1211]) ).

cnf(c_2850,plain,
    ( ~ apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
    | ~ member(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
    | ~ member(sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
    | member(sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16) ),
    inference(instantiation,[status(thm)],[c_81]) ).

cnf(c_2851,plain,
    ( ~ apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
    | ~ member(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
    | ~ member(sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
    | apply(sK13,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))) ),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_2852,plain,
    ( ~ apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
    | ~ member(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
    | ~ member(sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
    | apply(sK14,sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_2869,plain,
    ( ~ apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
    | ~ member(sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
    | ~ member(sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
    | member(sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16) ),
    inference(instantiation,[status(thm)],[c_81]) ).

cnf(c_2870,plain,
    ( ~ apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
    | ~ member(sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
    | ~ member(sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
    | apply(sK13,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))) ),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_2871,plain,
    ( ~ apply(compose_function(sK14,sK13,sK15,sK16,sK17),sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
    | ~ member(sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
    | ~ member(sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
    | apply(sK14,sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_6569,plain,
    ( ~ apply(sK18,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
    | ~ apply(X0,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X1)
    | ~ apply(X0,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X2)
    | ~ member(sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X3)
    | ~ member(sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X3)
    | ~ increasing(X0,X3,sK18,X4,X5)
    | ~ member(X1,X4)
    | ~ member(X2,X4)
    | apply(X5,X2,X1) ),
    inference(instantiation,[status(thm)],[c_106]) ).

cnf(c_8388,plain,
    ( ~ apply(sK13,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)))
    | ~ member(sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),X0)
    | ~ apply(sK18,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
    | ~ apply(sK13,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X1)
    | ~ member(sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X2)
    | ~ member(sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X2)
    | ~ increasing(sK13,X2,sK18,X0,X3)
    | ~ member(X1,X0)
    | apply(X3,X1,sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))) ),
    inference(instantiation,[status(thm)],[c_6569]) ).

cnf(c_13684,plain,
    ( ~ apply(sK13,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)))
    | ~ apply(sK13,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)))
    | ~ member(sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),X0)
    | ~ member(sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),X0)
    | ~ apply(sK18,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
    | ~ member(sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X1)
    | ~ member(sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X1)
    | ~ increasing(sK13,X1,sK18,X0,X2)
    | apply(X2,sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))) ),
    inference(instantiation,[status(thm)],[c_8388]) ).

cnf(c_21967,plain,
    ( ~ apply(sK13,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)))
    | ~ apply(sK13,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)))
    | ~ member(sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16)
    | ~ member(sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16)
    | ~ apply(sK18,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
    | ~ member(sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
    | ~ member(sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK15)
    | ~ increasing(sK13,sK15,sK18,sK16,sK19)
    | apply(sK19,sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))) ),
    inference(instantiation,[status(thm)],[c_13684]) ).

cnf(c_27034,plain,
    ( ~ apply(sK19,sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)))
    | ~ apply(X0,sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),X1)
    | ~ apply(X0,sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),X2)
    | ~ member(sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),X3)
    | ~ member(sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),X3)
    | ~ increasing(X0,X3,sK19,X4,X5)
    | ~ member(X1,X4)
    | ~ member(X2,X4)
    | apply(X5,X2,X1) ),
    inference(instantiation,[status(thm)],[c_106]) ).

cnf(c_34010,plain,
    ( ~ apply(sK19,sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)))
    | ~ apply(sK14,sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),X0)
    | ~ apply(sK14,sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),X1)
    | ~ member(sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16)
    | ~ member(sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16)
    | ~ increasing(sK14,sK16,sK19,sK17,sK20)
    | ~ member(X0,sK17)
    | ~ member(X1,sK17)
    | apply(sK20,X1,X0) ),
    inference(instantiation,[status(thm)],[c_27034]) ).

cnf(c_36843,plain,
    ( ~ apply(sK19,sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)))
    | ~ apply(sK14,sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
    | ~ apply(sK14,sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),X0)
    | ~ member(sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16)
    | ~ member(sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16)
    | ~ member(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
    | ~ increasing(sK14,sK16,sK19,sK17,sK20)
    | ~ member(X0,sK17)
    | apply(sK20,sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),X0) ),
    inference(instantiation,[status(thm)],[c_34010]) ).

cnf(c_43702,plain,
    ( ~ apply(sK19,sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)))
    | ~ apply(sK14,sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
    | ~ apply(sK14,sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20))
    | ~ member(sK4(sK14,sK13,sK16,sK11(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16)
    | ~ member(sK4(sK14,sK13,sK16,sK9(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)),sK16)
    | ~ member(sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
    | ~ member(sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK17)
    | ~ increasing(sK14,sK16,sK19,sK17,sK20)
    | apply(sK20,sK10(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20),sK12(compose_function(sK14,sK13,sK15,sK16,sK17),sK15,sK18,sK17,sK20)) ),
    inference(instantiation,[status(thm)],[c_36843]) ).

cnf(c_43703,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_43702,c_21967,c_2869,c_2870,c_2871,c_2850,c_2851,c_2852,c_1212,c_1153,c_1148,c_1143,c_1138,c_1133,c_1128,c_1094,c_108,c_109]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SET746+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.08/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 20:12:49 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 90.74/12.85  % SZS status Started for theBenchmark.p
% 90.74/12.85  % SZS status Theorem for theBenchmark.p
% 90.74/12.85  
% 90.74/12.85  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 90.74/12.85  
% 90.74/12.85  ------  iProver source info
% 90.74/12.85  
% 90.74/12.85  git: date: 2024-05-02 19:28:25 +0000
% 90.74/12.85  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 90.74/12.85  git: non_committed_changes: false
% 90.74/12.85  
% 90.74/12.85  ------ Parsing...
% 90.74/12.85  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 90.74/12.85  
% 90.74/12.85  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e 
% 90.74/12.85  
% 90.74/12.85  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 90.74/12.85  
% 90.74/12.85  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 90.74/12.85  ------ Proving...
% 90.74/12.85  ------ Problem Properties 
% 90.74/12.85  
% 90.74/12.85  
% 90.74/12.85  clauses                                 64
% 90.74/12.85  conjectures                             3
% 90.74/12.85  EPR                                     7
% 90.74/12.85  Horn                                    52
% 90.74/12.85  unary                                   7
% 90.74/12.85  binary                                  37
% 90.74/12.85  lits                                    163
% 90.74/12.85  lits eq                                 5
% 90.74/12.85  fd_pure                                 0
% 90.74/12.85  fd_pseudo                               0
% 90.74/12.85  fd_cond                                 0
% 90.74/12.85  fd_pseudo_cond                          4
% 90.74/12.85  AC symbols                              0
% 90.74/12.85  
% 90.74/12.85  ------ Input Options Time Limit: Unbounded
% 90.74/12.85  
% 90.74/12.85  
% 90.74/12.85  ------ 
% 90.74/12.85  Current options:
% 90.74/12.85  ------ 
% 90.74/12.85  
% 90.74/12.85  
% 90.74/12.85  
% 90.74/12.85  
% 90.74/12.85  ------ Proving...
% 90.74/12.85  
% 90.74/12.85  
% 90.74/12.85  % SZS status Theorem for theBenchmark.p
% 90.74/12.85  
% 90.74/12.85  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 90.74/12.85  
% 90.74/12.86  
%------------------------------------------------------------------------------