TSTP Solution File: SET772+4 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET772+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.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 03:01:29 EDT 2024

% Result   : Theorem 92.72s 13.27s
% Output   : CNFRefutation 92.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  349 (  24 unt;   0 def)
%            Number of atoms       : 1438 ( 157 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives : 1779 ( 690   ~; 866   |; 166   &)
%                                         (  11 <=>;  46  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-2 aty)
%            Number of variables   :  575 (   2 sgn 196   !;  70   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).

fof(f13,axiom,
    ! [X0,X3] :
      ( partition(X0,X3)
    <=> ( ! [X2,X4] :
            ( ( member(X4,X0)
              & member(X2,X0) )
           => ( ? [X5] :
                  ( member(X5,X4)
                  & member(X5,X2) )
             => X2 = X4 ) )
        & ! [X2] :
            ( member(X2,X3)
           => ? [X4] :
                ( member(X2,X4)
                & member(X4,X0) ) )
        & ! [X2] :
            ( member(X2,X0)
           => subset(X2,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',partition) ).

fof(f14,axiom,
    ! [X0,X6] :
      ( equivalence(X6,X0)
    <=> ( ! [X2,X4,X5] :
            ( ( member(X5,X0)
              & member(X4,X0)
              & member(X2,X0) )
           => ( ( apply(X6,X4,X5)
                & apply(X6,X2,X4) )
             => apply(X6,X2,X5) ) )
        & ! [X2,X4] :
            ( ( member(X4,X0)
              & member(X2,X0) )
           => ( apply(X6,X2,X4)
             => apply(X6,X4,X2) ) )
        & ! [X2] :
            ( member(X2,X0)
           => apply(X6,X2,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence) ).

fof(f17,conjecture,
    ! [X0,X3,X6] :
      ( partition(X0,X3)
     => ( ! [X2,X4] :
            ( ( member(X4,X3)
              & member(X2,X3) )
           => ( apply(X6,X2,X4)
            <=> ? [X5] :
                  ( member(X4,X5)
                  & member(X2,X5)
                  & member(X5,X0) ) ) )
       => equivalence(X6,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII08) ).

fof(f18,negated_conjecture,
    ~ ! [X0,X3,X6] :
        ( partition(X0,X3)
       => ( ! [X2,X4] :
              ( ( member(X4,X3)
                & member(X2,X3) )
             => ( apply(X6,X2,X4)
              <=> ? [X5] :
                    ( member(X4,X5)
                    & member(X2,X5)
                    & member(X5,X0) ) ) )
         => equivalence(X6,X3) ) ),
    inference(negated_conjecture,[],[f17]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( partition(X0,X1)
    <=> ( ! [X2,X3] :
            ( ( member(X3,X0)
              & member(X2,X0) )
           => ( ? [X4] :
                  ( member(X4,X3)
                  & member(X4,X2) )
             => X2 = X3 ) )
        & ! [X5] :
            ( member(X5,X1)
           => ? [X6] :
                ( member(X5,X6)
                & member(X6,X0) ) )
        & ! [X7] :
            ( member(X7,X0)
           => subset(X7,X1) ) ) ),
    inference(rectify,[],[f13]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
    <=> ( ! [X2,X3,X4] :
            ( ( member(X4,X0)
              & member(X3,X0)
              & member(X2,X0) )
           => ( ( apply(X1,X3,X4)
                & apply(X1,X2,X3) )
             => apply(X1,X2,X4) ) )
        & ! [X5,X6] :
            ( ( member(X6,X0)
              & member(X5,X0) )
           => ( apply(X1,X5,X6)
             => apply(X1,X6,X5) ) )
        & ! [X7] :
            ( member(X7,X0)
           => apply(X1,X7,X7) ) ) ),
    inference(rectify,[],[f14]) ).

fof(f32,plain,
    ~ ! [X0,X1,X2] :
        ( partition(X0,X1)
       => ( ! [X3,X4] :
              ( ( member(X4,X1)
                & member(X3,X1) )
             => ( apply(X2,X3,X4)
              <=> ? [X5] :
                    ( member(X4,X5)
                    & member(X3,X5)
                    & member(X5,X0) ) ) )
         => equivalence(X2,X1) ) ),
    inference(rectify,[],[f18]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( ! [X2,X3,X4] :
            ( ( member(X4,X0)
              & member(X3,X0)
              & member(X2,X0) )
           => ( ( apply(X1,X3,X4)
                & apply(X1,X2,X3) )
             => apply(X1,X2,X4) ) )
        & ! [X5,X6] :
            ( ( member(X6,X0)
              & member(X5,X0) )
           => ( apply(X1,X5,X6)
             => apply(X1,X6,X5) ) )
        & ! [X7] :
            ( member(X7,X0)
           => apply(X1,X7,X7) ) )
     => equivalence(X1,X0) ),
    inference(unused_predicate_definition_removal,[],[f29]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( partition(X0,X1)
     => ( ! [X2,X3] :
            ( ( member(X3,X0)
              & member(X2,X0) )
           => ( ? [X4] :
                  ( member(X4,X3)
                  & member(X4,X2) )
             => X2 = X3 ) )
        & ! [X5] :
            ( member(X5,X1)
           => ? [X6] :
                ( member(X5,X6)
                & member(X6,X0) ) )
        & ! [X7] :
            ( member(X7,X0)
           => subset(X7,X1) ) ) ),
    inference(unused_predicate_definition_removal,[],[f28]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ( ! [X2,X3] :
            ( X2 = X3
            | ! [X4] :
                ( ~ member(X4,X3)
                | ~ member(X4,X2) )
            | ~ member(X3,X0)
            | ~ member(X2,X0) )
        & ! [X5] :
            ( ? [X6] :
                ( member(X5,X6)
                & member(X6,X0) )
            | ~ member(X5,X1) )
        & ! [X7] :
            ( subset(X7,X1)
            | ~ member(X7,X0) ) )
      | ~ partition(X0,X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( ! [X2,X3] :
            ( X2 = X3
            | ! [X4] :
                ( ~ member(X4,X3)
                | ~ member(X4,X2) )
            | ~ member(X3,X0)
            | ~ member(X2,X0) )
        & ! [X5] :
            ( ? [X6] :
                ( member(X5,X6)
                & member(X6,X0) )
            | ~ member(X5,X1) )
        & ! [X7] :
            ( subset(X7,X1)
            | ~ member(X7,X0) ) )
      | ~ partition(X0,X1) ),
    inference(flattening,[],[f37]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | ? [X2,X3,X4] :
          ( ~ apply(X1,X2,X4)
          & apply(X1,X3,X4)
          & apply(X1,X2,X3)
          & member(X4,X0)
          & member(X3,X0)
          & member(X2,X0) )
      | ? [X5,X6] :
          ( ~ apply(X1,X6,X5)
          & apply(X1,X5,X6)
          & member(X6,X0)
          & member(X5,X0) )
      | ? [X7] :
          ( ~ apply(X1,X7,X7)
          & member(X7,X0) ) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | ? [X2,X3,X4] :
          ( ~ apply(X1,X2,X4)
          & apply(X1,X3,X4)
          & apply(X1,X2,X3)
          & member(X4,X0)
          & member(X3,X0)
          & member(X2,X0) )
      | ? [X5,X6] :
          ( ~ apply(X1,X6,X5)
          & apply(X1,X5,X6)
          & member(X6,X0)
          & member(X5,X0) )
      | ? [X7] :
          ( ~ apply(X1,X7,X7)
          & member(X7,X0) ) ),
    inference(flattening,[],[f39]) ).

fof(f41,plain,
    ? [X0,X1,X2] :
      ( ~ equivalence(X2,X1)
      & ! [X3,X4] :
          ( ( apply(X2,X3,X4)
          <=> ? [X5] :
                ( member(X4,X5)
                & member(X3,X5)
                & member(X5,X0) ) )
          | ~ member(X4,X1)
          | ~ member(X3,X1) )
      & partition(X0,X1) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f42,plain,
    ? [X0,X1,X2] :
      ( ~ equivalence(X2,X1)
      & ! [X3,X4] :
          ( ( apply(X2,X3,X4)
          <=> ? [X5] :
                ( member(X4,X5)
                & member(X3,X5)
                & member(X5,X0) ) )
          | ~ member(X4,X1)
          | ~ member(X3,X1) )
      & partition(X0,X1) ),
    inference(flattening,[],[f41]) ).

fof(f43,plain,
    ! [X1,X0] :
      ( ? [X2,X3,X4] :
          ( ~ apply(X1,X2,X4)
          & apply(X1,X3,X4)
          & apply(X1,X2,X3)
          & member(X4,X0)
          & member(X3,X0)
          & member(X2,X0) )
      | ~ sP0(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | ? [X5,X6] :
          ( ~ apply(X1,X6,X5)
          & apply(X1,X5,X6)
          & member(X6,X0)
          & member(X5,X0) )
      | ? [X7] :
          ( ~ apply(X1,X7,X7)
          & member(X7,X0) ) ),
    inference(definition_folding,[],[f40,f43]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X2] :
            ( member(X2,X1)
            | ~ member(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f45]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0) )
     => ( ~ member(sK1(X0,X1),X1)
        & member(sK1(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ member(sK1(X0,X1),X1)
          & member(sK1(X0,X1),X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f46,f47]) ).

fof(f67,plain,
    ! [X0,X5] :
      ( ? [X6] :
          ( member(X5,X6)
          & member(X6,X0) )
     => ( member(X5,sK4(X0,X5))
        & member(sK4(X0,X5),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ( ! [X2,X3] :
            ( X2 = X3
            | ! [X4] :
                ( ~ member(X4,X3)
                | ~ member(X4,X2) )
            | ~ member(X3,X0)
            | ~ member(X2,X0) )
        & ! [X5] :
            ( ( member(X5,sK4(X0,X5))
              & member(sK4(X0,X5),X0) )
            | ~ member(X5,X1) )
        & ! [X7] :
            ( subset(X7,X1)
            | ~ member(X7,X0) ) )
      | ~ partition(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f38,f67]) ).

fof(f69,plain,
    ! [X1,X0] :
      ( ? [X2,X3,X4] :
          ( ~ apply(X1,X2,X4)
          & apply(X1,X3,X4)
          & apply(X1,X2,X3)
          & member(X4,X0)
          & member(X3,X0)
          & member(X2,X0) )
      | ~ sP0(X1,X0) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ? [X2,X3,X4] :
          ( ~ apply(X0,X2,X4)
          & apply(X0,X3,X4)
          & apply(X0,X2,X3)
          & member(X4,X1)
          & member(X3,X1)
          & member(X2,X1) )
      | ~ sP0(X0,X1) ),
    inference(rectify,[],[f69]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ? [X2,X3,X4] :
          ( ~ apply(X0,X2,X4)
          & apply(X0,X3,X4)
          & apply(X0,X2,X3)
          & member(X4,X1)
          & member(X3,X1)
          & member(X2,X1) )
     => ( ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
        & apply(X0,sK6(X0,X1),sK7(X0,X1))
        & apply(X0,sK5(X0,X1),sK6(X0,X1))
        & member(sK7(X0,X1),X1)
        & member(sK6(X0,X1),X1)
        & member(sK5(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ( ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
        & apply(X0,sK6(X0,X1),sK7(X0,X1))
        & apply(X0,sK5(X0,X1),sK6(X0,X1))
        & member(sK7(X0,X1),X1)
        & member(sK6(X0,X1),X1)
        & member(sK5(X0,X1),X1) )
      | ~ sP0(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f70,f71]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | ? [X2,X3] :
          ( ~ apply(X1,X3,X2)
          & apply(X1,X2,X3)
          & member(X3,X0)
          & member(X2,X0) )
      | ? [X4] :
          ( ~ apply(X1,X4,X4)
          & member(X4,X0) ) ),
    inference(rectify,[],[f44]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ~ apply(X1,X3,X2)
          & apply(X1,X2,X3)
          & member(X3,X0)
          & member(X2,X0) )
     => ( ~ apply(X1,sK9(X0,X1),sK8(X0,X1))
        & apply(X1,sK8(X0,X1),sK9(X0,X1))
        & member(sK9(X0,X1),X0)
        & member(sK8(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ~ apply(X1,X4,X4)
          & member(X4,X0) )
     => ( ~ apply(X1,sK10(X0,X1),sK10(X0,X1))
        & member(sK10(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | ( ~ apply(X1,sK9(X0,X1),sK8(X0,X1))
        & apply(X1,sK8(X0,X1),sK9(X0,X1))
        & member(sK9(X0,X1),X0)
        & member(sK8(X0,X1),X0) )
      | ( ~ apply(X1,sK10(X0,X1),sK10(X0,X1))
        & member(sK10(X0,X1),X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f73,f75,f74]) ).

fof(f79,plain,
    ? [X0,X1,X2] :
      ( ~ equivalence(X2,X1)
      & ! [X3,X4] :
          ( ( ( apply(X2,X3,X4)
              | ! [X5] :
                  ( ~ member(X4,X5)
                  | ~ member(X3,X5)
                  | ~ member(X5,X0) ) )
            & ( ? [X5] :
                  ( member(X4,X5)
                  & member(X3,X5)
                  & member(X5,X0) )
              | ~ apply(X2,X3,X4) ) )
          | ~ member(X4,X1)
          | ~ member(X3,X1) )
      & partition(X0,X1) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f80,plain,
    ? [X0,X1,X2] :
      ( ~ equivalence(X2,X1)
      & ! [X3,X4] :
          ( ( ( apply(X2,X3,X4)
              | ! [X5] :
                  ( ~ member(X4,X5)
                  | ~ member(X3,X5)
                  | ~ member(X5,X0) ) )
            & ( ? [X6] :
                  ( member(X4,X6)
                  & member(X3,X6)
                  & member(X6,X0) )
              | ~ apply(X2,X3,X4) ) )
          | ~ member(X4,X1)
          | ~ member(X3,X1) )
      & partition(X0,X1) ),
    inference(rectify,[],[f79]) ).

fof(f81,plain,
    ( ? [X0,X1,X2] :
        ( ~ equivalence(X2,X1)
        & ! [X3,X4] :
            ( ( ( apply(X2,X3,X4)
                | ! [X5] :
                    ( ~ member(X4,X5)
                    | ~ member(X3,X5)
                    | ~ member(X5,X0) ) )
              & ( ? [X6] :
                    ( member(X4,X6)
                    & member(X3,X6)
                    & member(X6,X0) )
                | ~ apply(X2,X3,X4) ) )
            | ~ member(X4,X1)
            | ~ member(X3,X1) )
        & partition(X0,X1) )
   => ( ~ equivalence(sK13,sK12)
      & ! [X4,X3] :
          ( ( ( apply(sK13,X3,X4)
              | ! [X5] :
                  ( ~ member(X4,X5)
                  | ~ member(X3,X5)
                  | ~ member(X5,sK11) ) )
            & ( ? [X6] :
                  ( member(X4,X6)
                  & member(X3,X6)
                  & member(X6,sK11) )
              | ~ apply(sK13,X3,X4) ) )
          | ~ member(X4,sK12)
          | ~ member(X3,sK12) )
      & partition(sK11,sK12) ) ),
    introduced(choice_axiom,[]) ).

fof(f82,plain,
    ! [X3,X4] :
      ( ? [X6] :
          ( member(X4,X6)
          & member(X3,X6)
          & member(X6,sK11) )
     => ( member(X4,sK14(X3,X4))
        & member(X3,sK14(X3,X4))
        & member(sK14(X3,X4),sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f83,plain,
    ( ~ equivalence(sK13,sK12)
    & ! [X3,X4] :
        ( ( ( apply(sK13,X3,X4)
            | ! [X5] :
                ( ~ member(X4,X5)
                | ~ member(X3,X5)
                | ~ member(X5,sK11) ) )
          & ( ( member(X4,sK14(X3,X4))
              & member(X3,sK14(X3,X4))
              & member(sK14(X3,X4),sK11) )
            | ~ apply(sK13,X3,X4) ) )
        | ~ member(X4,sK12)
        | ~ member(X3,sK12) )
    & partition(sK11,sK12) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14])],[f80,f82,f81]) ).

fof(f84,plain,
    ! [X3,X0,X1] :
      ( member(X3,X1)
      | ~ member(X3,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f110,plain,
    ! [X0,X1,X7] :
      ( subset(X7,X1)
      | ~ member(X7,X0)
      | ~ partition(X0,X1) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f111,plain,
    ! [X0,X1,X5] :
      ( member(sK4(X0,X5),X0)
      | ~ member(X5,X1)
      | ~ partition(X0,X1) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f112,plain,
    ! [X0,X1,X5] :
      ( member(X5,sK4(X0,X5))
      | ~ member(X5,X1)
      | ~ partition(X0,X1) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f113,plain,
    ! [X2,X3,X0,X1,X4] :
      ( X2 = X3
      | ~ member(X4,X3)
      | ~ member(X4,X2)
      | ~ member(X3,X0)
      | ~ member(X2,X0)
      | ~ partition(X0,X1) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( member(sK5(X0,X1),X1)
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( member(sK6(X0,X1),X1)
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( member(sK7(X0,X1),X1)
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( apply(X0,sK5(X0,X1),sK6(X0,X1))
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( apply(X0,sK6(X0,X1),sK7(X0,X1))
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | member(sK8(X0,X1),X0)
      | member(sK10(X0,X1),X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | member(sK8(X0,X1),X0)
      | ~ apply(X1,sK10(X0,X1),sK10(X0,X1)) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | member(sK9(X0,X1),X0)
      | member(sK10(X0,X1),X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | member(sK9(X0,X1),X0)
      | ~ apply(X1,sK10(X0,X1),sK10(X0,X1)) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | apply(X1,sK8(X0,X1),sK9(X0,X1))
      | member(sK10(X0,X1),X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | apply(X1,sK8(X0,X1),sK9(X0,X1))
      | ~ apply(X1,sK10(X0,X1),sK10(X0,X1)) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | ~ apply(X1,sK9(X0,X1),sK8(X0,X1))
      | member(sK10(X0,X1),X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( equivalence(X1,X0)
      | sP0(X1,X0)
      | ~ apply(X1,sK9(X0,X1),sK8(X0,X1))
      | ~ apply(X1,sK10(X0,X1),sK10(X0,X1)) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f131,plain,
    partition(sK11,sK12),
    inference(cnf_transformation,[],[f83]) ).

fof(f132,plain,
    ! [X3,X4] :
      ( member(sK14(X3,X4),sK11)
      | ~ apply(sK13,X3,X4)
      | ~ member(X4,sK12)
      | ~ member(X3,sK12) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f133,plain,
    ! [X3,X4] :
      ( member(X3,sK14(X3,X4))
      | ~ apply(sK13,X3,X4)
      | ~ member(X4,sK12)
      | ~ member(X3,sK12) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f134,plain,
    ! [X3,X4] :
      ( member(X4,sK14(X3,X4))
      | ~ apply(sK13,X3,X4)
      | ~ member(X4,sK12)
      | ~ member(X3,sK12) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f135,plain,
    ! [X3,X4,X5] :
      ( apply(sK13,X3,X4)
      | ~ member(X4,X5)
      | ~ member(X3,X5)
      | ~ member(X5,sK11)
      | ~ member(X4,sK12)
      | ~ member(X3,sK12) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f136,plain,
    ~ equivalence(sK13,sK12),
    inference(cnf_transformation,[],[f83]) ).

cnf(c_51,plain,
    ( ~ subset(X0,X1)
    | ~ member(X2,X0)
    | member(X2,X1) ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_75,plain,
    ( ~ member(X0,X1)
    | ~ member(X2,X1)
    | ~ member(X3,X0)
    | ~ member(X3,X2)
    | ~ partition(X1,X4)
    | X0 = X2 ),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_76,plain,
    ( ~ member(X0,X1)
    | ~ partition(X2,X1)
    | member(X0,sK4(X2,X0)) ),
    inference(cnf_transformation,[],[f112]) ).

cnf(c_77,plain,
    ( ~ member(X0,X1)
    | ~ partition(X2,X1)
    | member(sK4(X2,X0),X2) ),
    inference(cnf_transformation,[],[f111]) ).

cnf(c_78,plain,
    ( ~ member(X0,X1)
    | ~ partition(X1,X2)
    | subset(X0,X2) ),
    inference(cnf_transformation,[],[f110]) ).

cnf(c_79,plain,
    ( ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
    | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f119]) ).

cnf(c_80,plain,
    ( ~ sP0(X0,X1)
    | apply(X0,sK6(X0,X1),sK7(X0,X1)) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_81,plain,
    ( ~ sP0(X0,X1)
    | apply(X0,sK5(X0,X1),sK6(X0,X1)) ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_82,plain,
    ( ~ sP0(X0,X1)
    | member(sK7(X0,X1),X1) ),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_83,plain,
    ( ~ sP0(X0,X1)
    | member(sK6(X0,X1),X1) ),
    inference(cnf_transformation,[],[f115]) ).

cnf(c_84,plain,
    ( ~ sP0(X0,X1)
    | member(sK5(X0,X1),X1) ),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_85,plain,
    ( ~ apply(X0,sK9(X1,X0),sK8(X1,X0))
    | ~ apply(X0,sK10(X1,X0),sK10(X1,X0))
    | sP0(X0,X1)
    | equivalence(X0,X1) ),
    inference(cnf_transformation,[],[f127]) ).

cnf(c_86,plain,
    ( ~ apply(X0,sK9(X1,X0),sK8(X1,X0))
    | member(sK10(X1,X0),X1)
    | sP0(X0,X1)
    | equivalence(X0,X1) ),
    inference(cnf_transformation,[],[f126]) ).

cnf(c_87,plain,
    ( ~ apply(X0,sK10(X1,X0),sK10(X1,X0))
    | apply(X0,sK8(X1,X0),sK9(X1,X0))
    | sP0(X0,X1)
    | equivalence(X0,X1) ),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_88,plain,
    ( apply(X0,sK8(X1,X0),sK9(X1,X0))
    | member(sK10(X1,X0),X1)
    | sP0(X0,X1)
    | equivalence(X0,X1) ),
    inference(cnf_transformation,[],[f124]) ).

cnf(c_89,plain,
    ( ~ apply(X0,sK10(X1,X0),sK10(X1,X0))
    | member(sK9(X1,X0),X1)
    | sP0(X0,X1)
    | equivalence(X0,X1) ),
    inference(cnf_transformation,[],[f123]) ).

cnf(c_90,plain,
    ( member(sK9(X0,X1),X0)
    | member(sK10(X0,X1),X0)
    | sP0(X1,X0)
    | equivalence(X1,X0) ),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_91,plain,
    ( ~ apply(X0,sK10(X1,X0),sK10(X1,X0))
    | member(sK8(X1,X0),X1)
    | sP0(X0,X1)
    | equivalence(X0,X1) ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_92,plain,
    ( member(sK8(X0,X1),X0)
    | member(sK10(X0,X1),X0)
    | sP0(X1,X0)
    | equivalence(X1,X0) ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_96,negated_conjecture,
    ~ equivalence(sK13,sK12),
    inference(cnf_transformation,[],[f136]) ).

cnf(c_97,negated_conjecture,
    ( ~ member(X0,X1)
    | ~ member(X2,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK11)
    | ~ member(X2,sK12)
    | apply(sK13,X0,X2) ),
    inference(cnf_transformation,[],[f135]) ).

cnf(c_98,negated_conjecture,
    ( ~ apply(sK13,X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | member(X1,sK14(X0,X1)) ),
    inference(cnf_transformation,[],[f134]) ).

cnf(c_99,negated_conjecture,
    ( ~ apply(sK13,X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | member(X0,sK14(X0,X1)) ),
    inference(cnf_transformation,[],[f133]) ).

cnf(c_100,negated_conjecture,
    ( ~ apply(sK13,X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | member(sK14(X0,X1),sK11) ),
    inference(cnf_transformation,[],[f132]) ).

cnf(c_101,negated_conjecture,
    partition(sK11,sK12),
    inference(cnf_transformation,[],[f131]) ).

cnf(c_192,plain,
    ( ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
    | ~ sP0(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_79]) ).

cnf(c_196,plain,
    ( ~ sP0(X0,X1)
    | apply(X0,sK6(X0,X1),sK7(X0,X1)) ),
    inference(prop_impl_just,[status(thm)],[c_80]) ).

cnf(c_198,plain,
    ( ~ sP0(X0,X1)
    | apply(X0,sK5(X0,X1),sK6(X0,X1)) ),
    inference(prop_impl_just,[status(thm)],[c_81]) ).

cnf(c_200,plain,
    ( ~ sP0(X0,X1)
    | member(sK7(X0,X1),X1) ),
    inference(prop_impl_just,[status(thm)],[c_82]) ).

cnf(c_202,plain,
    ( ~ sP0(X0,X1)
    | member(sK6(X0,X1),X1) ),
    inference(prop_impl_just,[status(thm)],[c_83]) ).

cnf(c_204,plain,
    ( ~ sP0(X0,X1)
    | member(sK5(X0,X1),X1) ),
    inference(prop_impl_just,[status(thm)],[c_84]) ).

cnf(c_874,plain,
    ( X0 != sK11
    | X1 != sK12
    | ~ member(X2,X0)
    | ~ member(X3,X0)
    | ~ member(X4,X2)
    | ~ member(X4,X3)
    | X2 = X3 ),
    inference(resolution_lifted,[status(thm)],[c_75,c_101]) ).

cnf(c_875,plain,
    ( ~ member(X0,X1)
    | ~ member(X0,X2)
    | ~ member(X1,sK11)
    | ~ member(X2,sK11)
    | X1 = X2 ),
    inference(unflattening,[status(thm)],[c_874]) ).

cnf(c_892,plain,
    ( X0 != sK12
    | X1 != sK11
    | ~ member(X2,X0)
    | member(sK4(X1,X2),X1) ),
    inference(resolution_lifted,[status(thm)],[c_77,c_101]) ).

cnf(c_893,plain,
    ( ~ member(X0,sK12)
    | member(sK4(sK11,X0),sK11) ),
    inference(unflattening,[status(thm)],[c_892]) ).

cnf(c_901,plain,
    ( X0 != sK12
    | X1 != sK11
    | ~ member(X2,X0)
    | member(X2,sK4(X1,X2)) ),
    inference(resolution_lifted,[status(thm)],[c_76,c_101]) ).

cnf(c_902,plain,
    ( ~ member(X0,sK12)
    | member(X0,sK4(sK11,X0)) ),
    inference(unflattening,[status(thm)],[c_901]) ).

cnf(c_910,plain,
    ( X0 != sK11
    | X1 != sK12
    | ~ member(X2,X0)
    | subset(X2,X1) ),
    inference(resolution_lifted,[status(thm)],[c_78,c_101]) ).

cnf(c_911,plain,
    ( ~ member(X0,sK11)
    | subset(X0,sK12) ),
    inference(unflattening,[status(thm)],[c_910]) ).

cnf(c_992,plain,
    ( X0 != X1
    | X2 != sK12
    | ~ member(X3,X0)
    | ~ member(X1,sK11)
    | member(X3,X2) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_911]) ).

cnf(c_993,plain,
    ( ~ member(X0,X1)
    | ~ member(X1,sK11)
    | member(X0,sK12) ),
    inference(unflattening,[status(thm)],[c_992]) ).

cnf(c_1021,plain,
    ( ~ member(X0,X1)
    | ~ member(X2,X1)
    | ~ member(X1,sK11)
    | ~ member(X2,sK12)
    | apply(sK13,X0,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_97,c_993]) ).

cnf(c_1022,plain,
    ( X0 != sK12
    | X1 != sK13
    | member(sK8(X0,X1),X0)
    | member(sK10(X0,X1),X0)
    | sP0(X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_92,c_96]) ).

cnf(c_1023,plain,
    ( member(sK8(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12)
    | sP0(sK13,sK12) ),
    inference(unflattening,[status(thm)],[c_1022]) ).

cnf(c_1033,plain,
    ( X0 != sK12
    | X1 != sK13
    | member(sK9(X0,X1),X0)
    | member(sK10(X0,X1),X0)
    | sP0(X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_90,c_96]) ).

cnf(c_1034,plain,
    ( member(sK9(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12)
    | sP0(sK13,sK12) ),
    inference(unflattening,[status(thm)],[c_1033]) ).

cnf(c_1044,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(X0,sK10(X1,X0),sK10(X1,X0))
    | member(sK8(X1,X0),X1)
    | sP0(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_91,c_96]) ).

cnf(c_1045,plain,
    ( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK8(sK12,sK13),sK12)
    | sP0(sK13,sK12) ),
    inference(unflattening,[status(thm)],[c_1044]) ).

cnf(c_1055,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(X0,sK10(X1,X0),sK10(X1,X0))
    | member(sK9(X1,X0),X1)
    | sP0(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_89,c_96]) ).

cnf(c_1056,plain,
    ( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK9(sK12,sK13),sK12)
    | sP0(sK13,sK12) ),
    inference(unflattening,[status(thm)],[c_1055]) ).

cnf(c_1066,plain,
    ( X0 != sK13
    | X1 != sK12
    | apply(X0,sK8(X1,X0),sK9(X1,X0))
    | member(sK10(X1,X0),X1)
    | sP0(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_88,c_96]) ).

cnf(c_1067,plain,
    ( apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK10(sK12,sK13),sK12)
    | sP0(sK13,sK12) ),
    inference(unflattening,[status(thm)],[c_1066]) ).

cnf(c_1077,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(X0,sK10(X1,X0),sK10(X1,X0))
    | apply(X0,sK8(X1,X0),sK9(X1,X0))
    | sP0(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_87,c_96]) ).

cnf(c_1078,plain,
    ( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | sP0(sK13,sK12) ),
    inference(unflattening,[status(thm)],[c_1077]) ).

cnf(c_1088,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(X0,sK9(X1,X0),sK8(X1,X0))
    | member(sK10(X1,X0),X1)
    | sP0(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_86,c_96]) ).

cnf(c_1089,plain,
    ( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | member(sK10(sK12,sK13),sK12)
    | sP0(sK13,sK12) ),
    inference(unflattening,[status(thm)],[c_1088]) ).

cnf(c_1099,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(X0,sK9(X1,X0),sK8(X1,X0))
    | ~ apply(X0,sK10(X1,X0),sK10(X1,X0))
    | sP0(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_85,c_96]) ).

cnf(c_1100,plain,
    ( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | sP0(sK13,sK12) ),
    inference(unflattening,[status(thm)],[c_1099]) ).

cnf(c_1134,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK5(X0,X1),X1) ),
    inference(resolution_lifted,[status(thm)],[c_204,c_1100]) ).

cnf(c_1135,plain,
    ( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK5(sK13,sK12),sK12) ),
    inference(unflattening,[status(thm)],[c_1134]) ).

cnf(c_1145,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | member(sK5(X0,X1),X1)
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_204,c_1089]) ).

cnf(c_1146,plain,
    ( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | member(sK5(sK13,sK12),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1145]) ).

cnf(c_1156,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK5(X0,X1),X1) ),
    inference(resolution_lifted,[status(thm)],[c_204,c_1078]) ).

cnf(c_1157,plain,
    ( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK5(sK13,sK12),sK12) ),
    inference(unflattening,[status(thm)],[c_1156]) ).

cnf(c_1167,plain,
    ( X0 != sK13
    | X1 != sK12
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK5(X0,X1),X1)
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_204,c_1067]) ).

cnf(c_1168,plain,
    ( apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK5(sK13,sK12),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1167]) ).

cnf(c_1178,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK5(X0,X1),X1)
    | member(sK9(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_204,c_1056]) ).

cnf(c_1179,plain,
    ( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK5(sK13,sK12),sK12)
    | member(sK9(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1178]) ).

cnf(c_1189,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK5(X0,X1),X1)
    | member(sK8(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_204,c_1045]) ).

cnf(c_1190,plain,
    ( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK5(sK13,sK12),sK12)
    | member(sK8(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1189]) ).

cnf(c_1200,plain,
    ( X0 != sK13
    | X1 != sK12
    | member(sK5(X0,X1),X1)
    | member(sK9(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_204,c_1034]) ).

cnf(c_1201,plain,
    ( member(sK5(sK13,sK12),sK12)
    | member(sK9(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1200]) ).

cnf(c_1211,plain,
    ( X0 != sK13
    | X1 != sK12
    | member(sK5(X0,X1),X1)
    | member(sK8(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_204,c_1023]) ).

cnf(c_1212,plain,
    ( member(sK5(sK13,sK12),sK12)
    | member(sK8(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1211]) ).

cnf(c_1222,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK6(X0,X1),X1) ),
    inference(resolution_lifted,[status(thm)],[c_202,c_1100]) ).

cnf(c_1223,plain,
    ( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK6(sK13,sK12),sK12) ),
    inference(unflattening,[status(thm)],[c_1222]) ).

cnf(c_1233,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | member(sK6(X0,X1),X1)
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_202,c_1089]) ).

cnf(c_1234,plain,
    ( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | member(sK6(sK13,sK12),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1233]) ).

cnf(c_1244,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK6(X0,X1),X1) ),
    inference(resolution_lifted,[status(thm)],[c_202,c_1078]) ).

cnf(c_1245,plain,
    ( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK6(sK13,sK12),sK12) ),
    inference(unflattening,[status(thm)],[c_1244]) ).

cnf(c_1255,plain,
    ( X0 != sK13
    | X1 != sK12
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK6(X0,X1),X1)
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_202,c_1067]) ).

cnf(c_1256,plain,
    ( apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK6(sK13,sK12),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1255]) ).

cnf(c_1266,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK6(X0,X1),X1)
    | member(sK9(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_202,c_1056]) ).

cnf(c_1267,plain,
    ( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK6(sK13,sK12),sK12)
    | member(sK9(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1266]) ).

cnf(c_1277,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK6(X0,X1),X1)
    | member(sK8(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_202,c_1045]) ).

cnf(c_1278,plain,
    ( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK6(sK13,sK12),sK12)
    | member(sK8(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1277]) ).

cnf(c_1288,plain,
    ( X0 != sK13
    | X1 != sK12
    | member(sK6(X0,X1),X1)
    | member(sK9(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_202,c_1034]) ).

cnf(c_1289,plain,
    ( member(sK6(sK13,sK12),sK12)
    | member(sK9(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1288]) ).

cnf(c_1299,plain,
    ( X0 != sK13
    | X1 != sK12
    | member(sK6(X0,X1),X1)
    | member(sK8(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_202,c_1023]) ).

cnf(c_1300,plain,
    ( member(sK6(sK13,sK12),sK12)
    | member(sK8(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1299]) ).

cnf(c_1310,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK7(X0,X1),X1) ),
    inference(resolution_lifted,[status(thm)],[c_200,c_1100]) ).

cnf(c_1311,plain,
    ( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK7(sK13,sK12),sK12) ),
    inference(unflattening,[status(thm)],[c_1310]) ).

cnf(c_1321,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | member(sK7(X0,X1),X1)
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_200,c_1089]) ).

cnf(c_1322,plain,
    ( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | member(sK7(sK13,sK12),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1321]) ).

cnf(c_1332,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK7(X0,X1),X1) ),
    inference(resolution_lifted,[status(thm)],[c_200,c_1078]) ).

cnf(c_1333,plain,
    ( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK7(sK13,sK12),sK12) ),
    inference(unflattening,[status(thm)],[c_1332]) ).

cnf(c_1343,plain,
    ( X0 != sK13
    | X1 != sK12
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK7(X0,X1),X1)
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_200,c_1067]) ).

cnf(c_1344,plain,
    ( apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK7(sK13,sK12),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1343]) ).

cnf(c_1354,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK7(X0,X1),X1)
    | member(sK9(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_200,c_1056]) ).

cnf(c_1355,plain,
    ( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK7(sK13,sK12),sK12)
    | member(sK9(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1354]) ).

cnf(c_1365,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK7(X0,X1),X1)
    | member(sK8(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_200,c_1045]) ).

cnf(c_1366,plain,
    ( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK7(sK13,sK12),sK12)
    | member(sK8(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1365]) ).

cnf(c_1376,plain,
    ( X0 != sK13
    | X1 != sK12
    | member(sK7(X0,X1),X1)
    | member(sK9(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_200,c_1034]) ).

cnf(c_1377,plain,
    ( member(sK7(sK13,sK12),sK12)
    | member(sK9(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1376]) ).

cnf(c_1387,plain,
    ( X0 != sK13
    | X1 != sK12
    | member(sK7(X0,X1),X1)
    | member(sK8(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_200,c_1023]) ).

cnf(c_1388,plain,
    ( member(sK7(sK13,sK12),sK12)
    | member(sK8(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1387]) ).

cnf(c_1398,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(X0,sK5(X0,X1),sK6(X0,X1)) ),
    inference(resolution_lifted,[status(thm)],[c_198,c_1100]) ).

cnf(c_1399,plain,
    ( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
    inference(unflattening,[status(thm)],[c_1398]) ).

cnf(c_1409,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | apply(X0,sK5(X0,X1),sK6(X0,X1))
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_198,c_1089]) ).

cnf(c_1410,plain,
    ( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1409]) ).

cnf(c_1420,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(X0,sK5(X0,X1),sK6(X0,X1))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
    inference(resolution_lifted,[status(thm)],[c_198,c_1078]) ).

cnf(c_1421,plain,
    ( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
    inference(unflattening,[status(thm)],[c_1420]) ).

cnf(c_1431,plain,
    ( X0 != sK13
    | X1 != sK12
    | apply(X0,sK5(X0,X1),sK6(X0,X1))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_198,c_1067]) ).

cnf(c_1432,plain,
    ( apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1431]) ).

cnf(c_1442,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(X0,sK5(X0,X1),sK6(X0,X1))
    | member(sK9(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_198,c_1056]) ).

cnf(c_1443,plain,
    ( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
    | member(sK9(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1442]) ).

cnf(c_1453,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(X0,sK5(X0,X1),sK6(X0,X1))
    | member(sK8(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_198,c_1045]) ).

cnf(c_1454,plain,
    ( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
    | member(sK8(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1453]) ).

cnf(c_1464,plain,
    ( X0 != sK13
    | X1 != sK12
    | apply(X0,sK5(X0,X1),sK6(X0,X1))
    | member(sK9(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_198,c_1034]) ).

cnf(c_1465,plain,
    ( apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
    | member(sK9(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1464]) ).

cnf(c_1475,plain,
    ( X0 != sK13
    | X1 != sK12
    | apply(X0,sK5(X0,X1),sK6(X0,X1))
    | member(sK8(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_198,c_1023]) ).

cnf(c_1476,plain,
    ( apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
    | member(sK8(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1475]) ).

cnf(c_1486,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(X0,sK6(X0,X1),sK7(X0,X1)) ),
    inference(resolution_lifted,[status(thm)],[c_196,c_1100]) ).

cnf(c_1487,plain,
    ( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12)) ),
    inference(unflattening,[status(thm)],[c_1486]) ).

cnf(c_1497,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | apply(X0,sK6(X0,X1),sK7(X0,X1))
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_196,c_1089]) ).

cnf(c_1498,plain,
    ( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1497]) ).

cnf(c_1508,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(X0,sK6(X0,X1),sK7(X0,X1))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
    inference(resolution_lifted,[status(thm)],[c_196,c_1078]) ).

cnf(c_1509,plain,
    ( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
    inference(unflattening,[status(thm)],[c_1508]) ).

cnf(c_1519,plain,
    ( X0 != sK13
    | X1 != sK12
    | apply(X0,sK6(X0,X1),sK7(X0,X1))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_196,c_1067]) ).

cnf(c_1520,plain,
    ( apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1519]) ).

cnf(c_1530,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(X0,sK6(X0,X1),sK7(X0,X1))
    | member(sK9(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_196,c_1056]) ).

cnf(c_1531,plain,
    ( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
    | member(sK9(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1530]) ).

cnf(c_1541,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(X0,sK6(X0,X1),sK7(X0,X1))
    | member(sK8(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_196,c_1045]) ).

cnf(c_1542,plain,
    ( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
    | member(sK8(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1541]) ).

cnf(c_1552,plain,
    ( X0 != sK13
    | X1 != sK12
    | apply(X0,sK6(X0,X1),sK7(X0,X1))
    | member(sK9(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_196,c_1034]) ).

cnf(c_1553,plain,
    ( apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
    | member(sK9(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1552]) ).

cnf(c_1563,plain,
    ( X0 != sK13
    | X1 != sK12
    | apply(X0,sK6(X0,X1),sK7(X0,X1))
    | member(sK8(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_196,c_1023]) ).

cnf(c_1564,plain,
    ( apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
    | member(sK8(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1563]) ).

cnf(c_1574,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
    | ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13)) ),
    inference(resolution_lifted,[status(thm)],[c_192,c_1100]) ).

cnf(c_1575,plain,
    ( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
    | ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13)) ),
    inference(unflattening,[status(thm)],[c_1574]) ).

cnf(c_1585,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
    | ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_192,c_1089]) ).

cnf(c_1586,plain,
    ( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
    | ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1585]) ).

cnf(c_1596,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
    inference(resolution_lifted,[status(thm)],[c_192,c_1078]) ).

cnf(c_1597,plain,
    ( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
    inference(unflattening,[status(thm)],[c_1596]) ).

cnf(c_1607,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_192,c_1067]) ).

cnf(c_1608,plain,
    ( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1607]) ).

cnf(c_1618,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK9(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_192,c_1056]) ).

cnf(c_1619,plain,
    ( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK9(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1618]) ).

cnf(c_1629,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK8(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_192,c_1045]) ).

cnf(c_1630,plain,
    ( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
    | ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
    | member(sK8(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1629]) ).

cnf(c_1640,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
    | member(sK9(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_192,c_1034]) ).

cnf(c_1641,plain,
    ( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
    | member(sK9(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1640]) ).

cnf(c_1651,plain,
    ( X0 != sK13
    | X1 != sK12
    | ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
    | member(sK8(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(resolution_lifted,[status(thm)],[c_192,c_1023]) ).

cnf(c_1652,plain,
    ( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
    | member(sK8(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(unflattening,[status(thm)],[c_1651]) ).

cnf(c_1806,negated_conjecture,
    ( ~ apply(sK13,X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | member(sK14(X0,X1),sK11) ),
    inference(demodulation,[status(thm)],[c_100]) ).

cnf(c_1807,negated_conjecture,
    ( ~ apply(sK13,X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | member(X0,sK14(X0,X1)) ),
    inference(demodulation,[status(thm)],[c_99]) ).

cnf(c_1808,negated_conjecture,
    ( ~ apply(sK13,X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | member(X1,sK14(X0,X1)) ),
    inference(demodulation,[status(thm)],[c_98]) ).

cnf(c_3313,plain,
    ( ~ member(sK14(X0,X1),sK11)
    | ~ apply(sK13,X0,X1)
    | ~ member(X0,X2)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | ~ member(X2,sK11)
    | sK14(X0,X1) = X2 ),
    inference(superposition,[status(thm)],[c_1807,c_875]) ).

cnf(c_3362,plain,
    ( ~ member(X0,sK14(X1,X2))
    | ~ member(sK14(X1,X2),sK11)
    | ~ apply(sK13,X1,X2)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | ~ member(X2,sK12)
    | apply(sK13,X2,X0) ),
    inference(superposition,[status(thm)],[c_1808,c_1021]) ).

cnf(c_3366,plain,
    ( ~ member(X0,sK4(sK11,X1))
    | ~ member(sK4(sK11,X1),sK11)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | apply(sK13,X1,X0) ),
    inference(superposition,[status(thm)],[c_902,c_1021]) ).

cnf(c_3605,plain,
    ( ~ apply(sK13,X0,X1)
    | ~ member(X0,X2)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | ~ member(X2,sK11)
    | sK14(X0,X1) = X2 ),
    inference(global_subsumption_just,[status(thm)],[c_3313,c_100,c_3313]) ).

cnf(c_3637,plain,
    ( ~ member(X0,sK14(X1,X2))
    | ~ apply(sK13,X1,X2)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | ~ member(X2,sK12)
    | apply(sK13,X2,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3362,c_1806]) ).

cnf(c_3646,plain,
    ( ~ apply(sK13,X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | apply(sK13,X1,X0) ),
    inference(superposition,[status(thm)],[c_1807,c_3637]) ).

cnf(c_4057,plain,
    ( ~ member(sK10(sK12,sK13),sK12)
    | member(sK10(sK12,sK13),sK4(sK11,sK10(sK12,sK13))) ),
    inference(instantiation,[status(thm)],[c_902]) ).

cnf(c_4058,plain,
    ( ~ member(sK10(sK12,sK13),sK12)
    | member(sK4(sK11,sK10(sK12,sK13)),sK11) ),
    inference(instantiation,[status(thm)],[c_893]) ).

cnf(c_4383,plain,
    ( ~ member(sK9(sK12,sK13),sK12)
    | ~ member(sK8(sK12,sK13),sK12)
    | apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | member(sK5(sK13,sK12),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(superposition,[status(thm)],[c_1168,c_3646]) ).

cnf(c_4462,plain,
    ( ~ member(sK9(sK12,sK13),sK12)
    | ~ member(sK8(sK12,sK13),sK12)
    | apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | member(sK6(sK13,sK12),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(superposition,[status(thm)],[c_1256,c_3646]) ).

cnf(c_4503,plain,
    ( ~ member(sK9(sK12,sK13),sK12)
    | ~ member(sK8(sK12,sK13),sK12)
    | apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | member(sK7(sK13,sK12),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(superposition,[status(thm)],[c_1344,c_3646]) ).

cnf(c_5940,plain,
    ( ~ member(X0,sK14(X1,X2))
    | ~ member(sK14(X1,X2),sK11)
    | ~ apply(sK13,X1,X2)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | ~ member(X2,sK12)
    | apply(sK13,X2,X0) ),
    inference(superposition,[status(thm)],[c_1808,c_1021]) ).

cnf(c_7425,plain,
    ( ~ apply(sK13,sK8(sK12,sK13),X0)
    | ~ member(sK8(sK12,sK13),sK12)
    | ~ member(X0,sK12)
    | member(X0,sK14(sK8(sK12,sK13),X0)) ),
    inference(instantiation,[status(thm)],[c_1808]) ).

cnf(c_7426,plain,
    ( ~ apply(sK13,sK8(sK12,sK13),X0)
    | ~ member(sK8(sK12,sK13),sK12)
    | ~ member(X0,sK12)
    | member(sK8(sK12,sK13),sK14(sK8(sK12,sK13),X0)) ),
    inference(instantiation,[status(thm)],[c_1807]) ).

cnf(c_7427,plain,
    ( ~ apply(sK13,sK8(sK12,sK13),X0)
    | ~ member(sK8(sK12,sK13),sK12)
    | ~ member(X0,sK12)
    | member(sK14(sK8(sK12,sK13),X0),sK11) ),
    inference(instantiation,[status(thm)],[c_1806]) ).

cnf(c_7510,plain,
    ( ~ member(X0,sK14(X1,X2))
    | ~ apply(sK13,X1,X2)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | ~ member(X2,sK12)
    | apply(sK13,X2,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5940,c_1806]) ).

cnf(c_7519,plain,
    ( ~ apply(sK13,X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | apply(sK13,X1,X0) ),
    inference(superposition,[status(thm)],[c_1807,c_7510]) ).

cnf(c_8421,plain,
    ( member(sK6(sK13,sK12),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(global_subsumption_just,[status(thm)],[c_1234,c_1234,c_1289,c_1300,c_4462]) ).

cnf(c_8810,plain,
    ( member(sK5(sK13,sK12),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(global_subsumption_just,[status(thm)],[c_1201,c_1146,c_1201,c_1212,c_4383]) ).

cnf(c_9171,plain,
    ( member(sK7(sK13,sK12),sK12)
    | member(sK10(sK12,sK13),sK12) ),
    inference(global_subsumption_just,[status(thm)],[c_1322,c_1322,c_1377,c_1388,c_4503]) ).

cnf(c_14324,plain,
    ( ~ member(X0,sK4(sK11,sK10(sK12,sK13)))
    | ~ member(X1,sK4(sK11,sK10(sK12,sK13)))
    | ~ member(sK4(sK11,sK10(sK12,sK13)),sK11)
    | ~ member(X1,sK12)
    | apply(sK13,X0,X1) ),
    inference(instantiation,[status(thm)],[c_1021]) ).

cnf(c_15616,plain,
    ( ~ member(X0,sK14(X1,X2))
    | ~ member(X3,sK14(X1,X2))
    | ~ member(sK14(X1,X2),sK11)
    | ~ member(X3,sK12)
    | apply(sK13,X0,X3) ),
    inference(instantiation,[status(thm)],[c_1021]) ).

cnf(c_18433,plain,
    ( ~ member(X0,sK4(sK11,X1))
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | apply(sK13,X1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3366,c_893]) ).

cnf(c_18441,plain,
    ( ~ member(X0,sK12)
    | apply(sK13,X0,X0) ),
    inference(superposition,[status(thm)],[c_902,c_18433]) ).

cnf(c_19682,plain,
    ( ~ member(X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK11)
    | sK14(X0,X0) = X1 ),
    inference(superposition,[status(thm)],[c_18441,c_3605]) ).

cnf(c_19684,plain,
    ( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
    | ~ member(sK10(sK12,sK13),sK12)
    | member(sK8(sK12,sK13),sK12) ),
    inference(superposition,[status(thm)],[c_18441,c_1630]) ).

cnf(c_19685,plain,
    ( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
    | ~ member(sK10(sK12,sK13),sK12)
    | member(sK9(sK12,sK13),sK12) ),
    inference(superposition,[status(thm)],[c_18441,c_1619]) ).

cnf(c_19686,plain,
    ( ~ member(sK10(sK12,sK13),sK12)
    | apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
    | member(sK8(sK12,sK13),sK12) ),
    inference(superposition,[status(thm)],[c_18441,c_1542]) ).

cnf(c_19687,plain,
    ( ~ member(sK10(sK12,sK13),sK12)
    | apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
    | member(sK9(sK12,sK13),sK12) ),
    inference(superposition,[status(thm)],[c_18441,c_1531]) ).

cnf(c_19688,plain,
    ( ~ member(sK10(sK12,sK13),sK12)
    | apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
    | member(sK8(sK12,sK13),sK12) ),
    inference(superposition,[status(thm)],[c_18441,c_1454]) ).

cnf(c_19689,plain,
    ( ~ member(sK10(sK12,sK13),sK12)
    | apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
    | member(sK9(sK12,sK13),sK12) ),
    inference(superposition,[status(thm)],[c_18441,c_1443]) ).

cnf(c_19690,plain,
    ( ~ member(sK10(sK12,sK13),sK12)
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK7(sK13,sK12),sK12) ),
    inference(superposition,[status(thm)],[c_18441,c_1333]) ).

cnf(c_19691,plain,
    ( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | ~ member(sK10(sK12,sK13),sK12)
    | member(sK7(sK13,sK12),sK12) ),
    inference(superposition,[status(thm)],[c_18441,c_1311]) ).

cnf(c_19692,plain,
    ( ~ member(sK10(sK12,sK13),sK12)
    | member(sK7(sK13,sK12),sK12)
    | member(sK8(sK12,sK13),sK12) ),
    inference(superposition,[status(thm)],[c_18441,c_1366]) ).

cnf(c_19693,plain,
    ( ~ member(sK10(sK12,sK13),sK12)
    | member(sK7(sK13,sK12),sK12)
    | member(sK9(sK12,sK13),sK12) ),
    inference(superposition,[status(thm)],[c_18441,c_1355]) ).

cnf(c_19694,plain,
    ( ~ member(sK10(sK12,sK13),sK12)
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK6(sK13,sK12),sK12) ),
    inference(superposition,[status(thm)],[c_18441,c_1245]) ).

cnf(c_19695,plain,
    ( ~ member(sK10(sK12,sK13),sK12)
    | member(sK6(sK13,sK12),sK12)
    | member(sK8(sK12,sK13),sK12) ),
    inference(superposition,[status(thm)],[c_18441,c_1278]) ).

cnf(c_19696,plain,
    ( ~ member(sK10(sK12,sK13),sK12)
    | member(sK6(sK13,sK12),sK12)
    | member(sK9(sK12,sK13),sK12) ),
    inference(superposition,[status(thm)],[c_18441,c_1267]) ).

cnf(c_19697,plain,
    ( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | ~ member(sK10(sK12,sK13),sK12)
    | member(sK6(sK13,sK12),sK12) ),
    inference(superposition,[status(thm)],[c_18441,c_1223]) ).

cnf(c_19698,plain,
    ( ~ member(sK10(sK12,sK13),sK12)
    | member(sK5(sK13,sK12),sK12)
    | member(sK8(sK12,sK13),sK12) ),
    inference(superposition,[status(thm)],[c_18441,c_1190]) ).

cnf(c_19699,plain,
    ( ~ member(sK10(sK12,sK13),sK12)
    | member(sK5(sK13,sK12),sK12)
    | member(sK9(sK12,sK13),sK12) ),
    inference(superposition,[status(thm)],[c_18441,c_1179]) ).

cnf(c_19700,plain,
    ( ~ member(sK10(sK12,sK13),sK12)
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK5(sK13,sK12),sK12) ),
    inference(superposition,[status(thm)],[c_18441,c_1157]) ).

cnf(c_19701,plain,
    ( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | ~ member(sK10(sK12,sK13),sK12)
    | member(sK5(sK13,sK12),sK12) ),
    inference(superposition,[status(thm)],[c_18441,c_1135]) ).

cnf(c_20191,plain,
    ( ~ apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | ~ member(sK9(sK12,sK13),sK12)
    | ~ member(sK8(sK12,sK13),sK12)
    | member(sK8(sK12,sK13),sK14(sK8(sK12,sK13),sK9(sK12,sK13))) ),
    inference(instantiation,[status(thm)],[c_7426]) ).

cnf(c_20196,plain,
    ( ~ apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | ~ member(sK9(sK12,sK13),sK12)
    | ~ member(sK8(sK12,sK13),sK12)
    | member(sK14(sK8(sK12,sK13),sK9(sK12,sK13)),sK11) ),
    inference(instantiation,[status(thm)],[c_7427]) ).

cnf(c_20205,plain,
    ( ~ apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | ~ member(sK9(sK12,sK13),sK12)
    | ~ member(sK8(sK12,sK13),sK12)
    | member(sK9(sK12,sK13),sK14(sK8(sK12,sK13),sK9(sK12,sK13))) ),
    inference(instantiation,[status(thm)],[c_7425]) ).

cnf(c_20560,plain,
    ( ~ member(X0,X1)
    | ~ member(X1,sK11)
    | sK14(X0,X0) = X1 ),
    inference(global_subsumption_just,[status(thm)],[c_19682,c_993,c_19682]) ).

cnf(c_20581,plain,
    ( ~ member(sK14(X0,X1),sK11)
    | ~ apply(sK13,X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | sK14(X0,X1) = sK14(X1,X1) ),
    inference(superposition,[status(thm)],[c_1808,c_20560]) ).

cnf(c_20582,plain,
    ( ~ member(sK14(X0,X1),sK11)
    | ~ apply(sK13,X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | sK14(X0,X0) = sK14(X0,X1) ),
    inference(superposition,[status(thm)],[c_1807,c_20560]) ).

cnf(c_21122,plain,
    ( ~ member(sK9(sK12,sK13),sK14(X0,X1))
    | ~ member(sK8(sK12,sK13),sK14(X0,X1))
    | ~ member(sK14(X0,X1),sK11)
    | ~ member(sK8(sK12,sK13),sK12)
    | apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13)) ),
    inference(instantiation,[status(thm)],[c_15616]) ).

cnf(c_21124,plain,
    ( ~ member(sK5(sK13,sK12),sK14(X0,X1))
    | ~ member(sK7(sK13,sK12),sK14(X0,X1))
    | ~ member(sK14(X0,X1),sK11)
    | ~ member(sK7(sK13,sK12),sK12)
    | apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12)) ),
    inference(instantiation,[status(thm)],[c_15616]) ).

cnf(c_21620,plain,
    ( ~ apply(sK13,X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | sK14(X0,X0) = sK14(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_20582,c_100,c_20582]) ).

cnf(c_23683,plain,
    ( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | member(sK6(sK13,sK12),sK12) ),
    inference(global_subsumption_just,[status(thm)],[c_1223,c_1234,c_1289,c_1300,c_4462,c_19697]) ).

cnf(c_30797,plain,
    ( apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK6(sK13,sK12),sK12) ),
    inference(global_subsumption_just,[status(thm)],[c_1245,c_1234,c_1289,c_1300,c_4462,c_19694]) ).

cnf(c_30804,plain,
    ( ~ member(sK9(sK12,sK13),sK12)
    | ~ member(sK8(sK12,sK13),sK12)
    | apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | member(sK6(sK13,sK12),sK12) ),
    inference(superposition,[status(thm)],[c_30797,c_7519]) ).

cnf(c_31848,plain,
    ( ~ member(sK10(sK12,sK13),sK4(sK11,sK10(sK12,sK13)))
    | ~ member(sK4(sK11,sK10(sK12,sK13)),sK11)
    | ~ member(sK10(sK12,sK13),sK12)
    | apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13)) ),
    inference(instantiation,[status(thm)],[c_14324]) ).

cnf(c_32725,plain,
    member(sK6(sK13,sK12),sK12),
    inference(global_subsumption_just,[status(thm)],[c_1267,c_8421,c_19696,c_19695,c_23683,c_30804]) ).

cnf(c_34529,plain,
    ( member(sK7(sK13,sK12),sK12)
    | member(sK9(sK12,sK13),sK12) ),
    inference(global_subsumption_just,[status(thm)],[c_1355,c_9171,c_19693]) ).

cnf(c_34624,plain,
    ( member(sK7(sK13,sK12),sK12)
    | member(sK8(sK12,sK13),sK12) ),
    inference(global_subsumption_just,[status(thm)],[c_1366,c_1322,c_1377,c_1388,c_4503,c_19692]) ).

cnf(c_34651,plain,
    ( member(sK9(sK12,sK13),sK12)
    | ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12)) ),
    inference(global_subsumption_just,[status(thm)],[c_1641,c_1641,c_19685]) ).

cnf(c_34652,plain,
    ( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
    | member(sK9(sK12,sK13),sK12) ),
    inference(renaming,[status(thm)],[c_34651]) ).

cnf(c_34657,plain,
    ( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | member(sK7(sK13,sK12),sK12) ),
    inference(global_subsumption_just,[status(thm)],[c_1311,c_1322,c_1377,c_1388,c_4503,c_19691]) ).

cnf(c_40141,plain,
    ( member(sK8(sK12,sK13),sK12)
    | ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12)) ),
    inference(global_subsumption_just,[status(thm)],[c_1652,c_1652,c_19684]) ).

cnf(c_40142,plain,
    ( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
    | member(sK8(sK12,sK13),sK12) ),
    inference(renaming,[status(thm)],[c_40141]) ).

cnf(c_41802,plain,
    ( apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | member(sK7(sK13,sK12),sK12) ),
    inference(global_subsumption_just,[status(thm)],[c_1333,c_1322,c_1377,c_1388,c_4503,c_19690]) ).

cnf(c_41809,plain,
    ( ~ member(sK9(sK12,sK13),sK12)
    | ~ member(sK8(sK12,sK13),sK12)
    | apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | member(sK7(sK13,sK12),sK12) ),
    inference(superposition,[status(thm)],[c_41802,c_7519]) ).

cnf(c_43824,plain,
    ( apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
    | ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13)) ),
    inference(global_subsumption_just,[status(thm)],[c_1410,c_1399,c_1410,c_4058,c_4057,c_31848]) ).

cnf(c_43825,plain,
    ( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
    | apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
    inference(renaming,[status(thm)],[c_43824]) ).

cnf(c_46442,plain,
    ( ~ member(sK5(sK13,sK12),sK14(X0,sK5(sK13,sK12)))
    | ~ member(sK7(sK13,sK12),sK14(X0,sK5(sK13,sK12)))
    | ~ member(sK14(X0,sK5(sK13,sK12)),sK11)
    | ~ member(sK7(sK13,sK12),sK12)
    | apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12)) ),
    inference(instantiation,[status(thm)],[c_21124]) ).

cnf(c_46748,plain,
    ( apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
    | apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
    inference(global_subsumption_just,[status(thm)],[c_1432,c_1421,c_1432,c_4058,c_4057,c_31848]) ).

cnf(c_46749,plain,
    ( apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
    inference(renaming,[status(thm)],[c_46748]) ).

cnf(c_48559,plain,
    member(sK7(sK13,sK12),sK12),
    inference(global_subsumption_just,[status(thm)],[c_1377,c_34529,c_34624,c_34657,c_41809]) ).

cnf(c_48842,plain,
    ( member(sK9(sK12,sK13),sK12)
    | apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
    inference(global_subsumption_just,[status(thm)],[c_1465,c_1465,c_19689]) ).

cnf(c_48843,plain,
    ( apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
    | member(sK9(sK12,sK13),sK12) ),
    inference(renaming,[status(thm)],[c_48842]) ).

cnf(c_48867,plain,
    ( member(sK8(sK12,sK13),sK12)
    | apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
    inference(global_subsumption_just,[status(thm)],[c_1476,c_1476,c_19688]) ).

cnf(c_48868,plain,
    ( apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
    | member(sK8(sK12,sK13),sK12) ),
    inference(renaming,[status(thm)],[c_48867]) ).

cnf(c_48894,plain,
    ( member(sK9(sK12,sK13),sK12)
    | apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12)) ),
    inference(global_subsumption_just,[status(thm)],[c_1553,c_1553,c_19687]) ).

cnf(c_48895,plain,
    ( apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
    | member(sK9(sK12,sK13),sK12) ),
    inference(renaming,[status(thm)],[c_48894]) ).

cnf(c_48916,plain,
    ( member(sK8(sK12,sK13),sK12)
    | apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12)) ),
    inference(global_subsumption_just,[status(thm)],[c_1564,c_1564,c_19686]) ).

cnf(c_48917,plain,
    ( apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
    | member(sK8(sK12,sK13),sK12) ),
    inference(renaming,[status(thm)],[c_48916]) ).

cnf(c_59970,plain,
    ( ~ member(sK5(sK13,sK12),sK14(sK5(sK13,sK12),sK5(sK13,sK12)))
    | ~ member(sK7(sK13,sK12),sK14(sK5(sK13,sK12),sK5(sK13,sK12)))
    | ~ member(sK14(sK5(sK13,sK12),sK5(sK13,sK12)),sK11)
    | ~ member(sK7(sK13,sK12),sK12)
    | apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12)) ),
    inference(instantiation,[status(thm)],[c_46442]) ).

cnf(c_65307,plain,
    ( apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
    | apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
    inference(global_subsumption_just,[status(thm)],[c_1509,c_1509,c_1520,c_4058,c_4057,c_31848]) ).

cnf(c_78481,plain,
    ( member(sK5(sK13,sK12),sK12)
    | member(sK9(sK12,sK13),sK12) ),
    inference(global_subsumption_just,[status(thm)],[c_1179,c_1146,c_1201,c_1212,c_4383,c_19699]) ).

cnf(c_81061,plain,
    ( ~ member(sK9(sK12,sK13),sK14(sK8(sK12,sK13),sK9(sK12,sK13)))
    | ~ member(sK8(sK12,sK13),sK14(sK8(sK12,sK13),sK9(sK12,sK13)))
    | ~ member(sK14(sK8(sK12,sK13),sK9(sK12,sK13)),sK11)
    | ~ member(sK8(sK12,sK13),sK12)
    | apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13)) ),
    inference(instantiation,[status(thm)],[c_21122]) ).

cnf(c_86940,plain,
    member(sK5(sK13,sK12),sK12),
    inference(global_subsumption_just,[status(thm)],[c_1190,c_8810,c_19698,c_19700,c_19701,c_20191,c_20196,c_20205,c_78481,c_81061]) ).

cnf(c_94192,plain,
    ( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
    | member(sK10(sK12,sK13),sK12) ),
    inference(global_subsumption_just,[status(thm)],[c_1641,c_1575,c_1586,c_1597,c_1608,c_4058,c_4057,c_20191,c_20196,c_20205,c_31848,c_34652,c_40142,c_81061]) ).

cnf(c_94194,plain,
    ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12)),
    inference(global_subsumption_just,[status(thm)],[c_94192,c_1575,c_1597,c_4058,c_4057,c_20191,c_20196,c_20205,c_31848,c_34652,c_40142,c_81061,c_94192]) ).

cnf(c_100555,plain,
    apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)),
    inference(global_subsumption_just,[status(thm)],[c_1399,c_20191,c_20196,c_20205,c_43825,c_46749,c_48843,c_48868,c_81061]) ).

cnf(c_100673,plain,
    apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12)),
    inference(global_subsumption_just,[status(thm)],[c_1487,c_1487,c_1498,c_4058,c_4057,c_20191,c_20196,c_20205,c_31848,c_48895,c_48917,c_65307,c_81061]) ).

cnf(c_208269,plain,
    ( ~ member(X0,sK14(X1,X2))
    | ~ member(X3,sK14(X1,X2))
    | ~ apply(sK13,X1,X2)
    | ~ member(X1,sK12)
    | ~ member(X2,sK12)
    | ~ member(X3,sK12)
    | apply(sK13,X0,X3) ),
    inference(resolution,[status(thm)],[c_1806,c_1021]) ).

cnf(c_208270,plain,
    ( ~ apply(sK13,X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | subset(sK14(X0,X1),sK12) ),
    inference(resolution,[status(thm)],[c_1806,c_911]) ).

cnf(c_208328,plain,
    ( ~ member(X0,sK14(X1,X2))
    | ~ apply(sK13,X1,X2)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | ~ member(X2,sK12)
    | apply(sK13,X1,X0) ),
    inference(resolution,[status(thm)],[c_208269,c_1807]) ).

cnf(c_210341,plain,
    ( ~ member(X0,sK14(X1,X2))
    | ~ apply(sK13,X1,X2)
    | ~ member(X1,sK12)
    | ~ member(X2,sK12)
    | member(X0,sK12) ),
    inference(resolution,[status(thm)],[c_51,c_208270]) ).

cnf(c_227549,plain,
    ( ~ member(X0,sK14(X1,X2))
    | ~ apply(sK13,X1,X2)
    | ~ member(X1,sK12)
    | ~ member(X2,sK12)
    | apply(sK13,X1,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_208328,c_210341]) ).

cnf(c_241112,plain,
    ( ~ member(sK14(X0,X1),sK11)
    | ~ apply(sK13,X0,X1)
    | ~ member(X0,X2)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | ~ member(X2,sK11)
    | sK14(X0,X1) = X2 ),
    inference(superposition,[status(thm)],[c_1807,c_875]) ).

cnf(c_241248,plain,
    ( ~ member(X0,sK14(X1,X2))
    | ~ member(sK14(X1,X2),sK11)
    | ~ apply(sK13,X1,X2)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | ~ member(X2,sK12)
    | apply(sK13,X1,X0) ),
    inference(superposition,[status(thm)],[c_1807,c_1021]) ).

cnf(c_241398,plain,
    ( ~ apply(sK13,X0,X1)
    | ~ member(X0,X2)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | ~ member(X2,sK11)
    | sK14(X0,X1) = X2 ),
    inference(global_subsumption_just,[status(thm)],[c_241112,c_100,c_3313]) ).

cnf(c_241479,plain,
    ( ~ apply(sK13,X1,X2)
    | ~ member(X0,sK14(X1,X2))
    | ~ member(X1,sK12)
    | ~ member(X2,sK12)
    | apply(sK13,X1,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_241248,c_227549]) ).

cnf(c_241480,plain,
    ( ~ member(X0,sK14(X1,X2))
    | ~ apply(sK13,X1,X2)
    | ~ member(X1,sK12)
    | ~ member(X2,sK12)
    | apply(sK13,X1,X0) ),
    inference(renaming,[status(thm)],[c_241479]) ).

cnf(c_241492,plain,
    ( ~ apply(sK13,X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | apply(sK13,X0,X0) ),
    inference(superposition,[status(thm)],[c_1807,c_241480]) ).

cnf(c_241589,plain,
    ( ~ member(X0,sK12)
    | apply(sK13,X0,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_241492,c_18441]) ).

cnf(c_241596,plain,
    ( ~ member(X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK11)
    | sK14(X0,X0) = X1 ),
    inference(superposition,[status(thm)],[c_241589,c_241398]) ).

cnf(c_242029,plain,
    member(sK5(sK13,sK12),sK12),
    inference(global_subsumption_just,[status(thm)],[c_1201,c_86940]) ).

cnf(c_242033,plain,
    member(sK6(sK13,sK12),sK12),
    inference(global_subsumption_just,[status(thm)],[c_1289,c_32725]) ).

cnf(c_242037,plain,
    member(sK7(sK13,sK12),sK12),
    inference(global_subsumption_just,[status(thm)],[c_1377,c_48559]) ).

cnf(c_242244,plain,
    apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)),
    inference(global_subsumption_just,[status(thm)],[c_1465,c_100555]) ).

cnf(c_242258,plain,
    apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12)),
    inference(global_subsumption_just,[status(thm)],[c_1553,c_100673]) ).

cnf(c_242537,plain,
    ( ~ member(X0,X1)
    | ~ member(X1,sK11)
    | sK14(X0,X0) = X1 ),
    inference(global_subsumption_just,[status(thm)],[c_241596,c_20560]) ).

cnf(c_242555,plain,
    ( ~ member(sK14(X0,X1),sK11)
    | ~ apply(sK13,X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | sK14(X0,X1) = sK14(X1,X1) ),
    inference(superposition,[status(thm)],[c_1808,c_242537]) ).

cnf(c_242556,plain,
    ( ~ member(sK14(X0,X1),sK11)
    | ~ apply(sK13,X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | sK14(X0,X0) = sK14(X0,X1) ),
    inference(superposition,[status(thm)],[c_1807,c_242537]) ).

cnf(c_242631,plain,
    ( ~ apply(sK13,X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | sK14(X0,X1) = sK14(X1,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_242555,c_100,c_20581]) ).

cnf(c_242641,plain,
    ( ~ member(sK5(sK13,sK12),sK12)
    | ~ member(sK6(sK13,sK12),sK12)
    | sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12)) ),
    inference(superposition,[status(thm)],[c_242244,c_242631]) ).

cnf(c_242642,plain,
    ( ~ member(sK7(sK13,sK12),sK12)
    | ~ member(sK6(sK13,sK12),sK12)
    | sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12)) ),
    inference(superposition,[status(thm)],[c_242258,c_242631]) ).

cnf(c_242646,plain,
    sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12)),
    inference(forward_subsumption_resolution,[status(thm)],[c_242642,c_242033,c_242037]) ).

cnf(c_242647,plain,
    sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12)),
    inference(forward_subsumption_resolution,[status(thm)],[c_242641,c_242033,c_242029]) ).

cnf(c_242662,plain,
    ( ~ apply(sK13,X0,X1)
    | ~ member(X0,sK12)
    | ~ member(X1,sK12)
    | sK14(X0,X0) = sK14(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_242556,c_21620]) ).

cnf(c_242672,plain,
    ( ~ member(sK5(sK13,sK12),sK12)
    | ~ member(sK6(sK13,sK12),sK12)
    | sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12)) ),
    inference(superposition,[status(thm)],[c_242244,c_242662]) ).

cnf(c_242673,plain,
    ( ~ member(sK7(sK13,sK12),sK12)
    | ~ member(sK6(sK13,sK12),sK12)
    | sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12)) ),
    inference(superposition,[status(thm)],[c_242258,c_242662]) ).

cnf(c_242677,plain,
    ( ~ member(sK7(sK13,sK12),sK12)
    | ~ member(sK6(sK13,sK12),sK12)
    | sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK7(sK13,sK12),sK7(sK13,sK12)) ),
    inference(light_normalisation,[status(thm)],[c_242673,c_242646,c_242647]) ).

cnf(c_242678,plain,
    sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK7(sK13,sK12),sK7(sK13,sK12)),
    inference(forward_subsumption_resolution,[status(thm)],[c_242677,c_242033,c_242037]) ).

cnf(c_242679,plain,
    sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12)),
    inference(forward_subsumption_resolution,[status(thm)],[c_242672,c_242033,c_242029]) ).

cnf(c_242775,plain,
    sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12)),
    inference(light_normalisation,[status(thm)],[c_242646,c_242678,c_242679]) ).

cnf(c_242780,plain,
    ( ~ apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
    | ~ member(sK7(sK13,sK12),sK12)
    | ~ member(sK6(sK13,sK12),sK12)
    | member(sK7(sK13,sK12),sK14(sK5(sK13,sK12),sK5(sK13,sK12))) ),
    inference(superposition,[status(thm)],[c_242775,c_1808]) ).

cnf(c_242782,plain,
    ( ~ apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
    | ~ member(sK7(sK13,sK12),sK12)
    | ~ member(sK6(sK13,sK12),sK12)
    | member(sK14(sK5(sK13,sK12),sK5(sK13,sK12)),sK11) ),
    inference(superposition,[status(thm)],[c_242775,c_1806]) ).

cnf(c_242786,plain,
    member(sK14(sK5(sK13,sK12),sK5(sK13,sK12)),sK11),
    inference(forward_subsumption_resolution,[status(thm)],[c_242782,c_242033,c_242037,c_242258]) ).

cnf(c_242789,plain,
    member(sK7(sK13,sK12),sK14(sK5(sK13,sK12),sK5(sK13,sK12))),
    inference(forward_subsumption_resolution,[status(thm)],[c_242780,c_242033,c_242037,c_242258]) ).

cnf(c_243086,plain,
    ( ~ apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
    | ~ member(sK5(sK13,sK12),sK12)
    | ~ member(sK6(sK13,sK12),sK12)
    | member(sK5(sK13,sK12),sK14(sK5(sK13,sK12),sK5(sK13,sK12))) ),
    inference(superposition,[status(thm)],[c_242679,c_1807]) ).

cnf(c_243091,plain,
    member(sK5(sK13,sK12),sK14(sK5(sK13,sK12),sK5(sK13,sK12))),
    inference(forward_subsumption_resolution,[status(thm)],[c_243086,c_242033,c_242029,c_242244]) ).

cnf(c_243101,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_243091,c_242789,c_242786,c_94194,c_59970,c_48559]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SET772+4 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 21:03:30 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 92.72/13.27  % SZS status Started for theBenchmark.p
% 92.72/13.27  % SZS status Theorem for theBenchmark.p
% 92.72/13.27  
% 92.72/13.27  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 92.72/13.27  
% 92.72/13.27  ------  iProver source info
% 92.72/13.27  
% 92.72/13.27  git: date: 2024-05-02 19:28:25 +0000
% 92.72/13.27  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 92.72/13.27  git: non_committed_changes: false
% 92.72/13.27  
% 92.72/13.27  ------ Parsing...
% 92.72/13.27  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 92.72/13.27  
% 92.72/13.27  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e 
% 92.72/13.27  
% 92.72/13.27  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 92.72/13.27  
% 92.72/13.27  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 92.72/13.27  ------ Proving...
% 92.72/13.27  ------ Problem Properties 
% 92.72/13.27  
% 92.72/13.27  
% 92.72/13.27  clauses                                 85
% 92.72/13.27  conjectures                             3
% 92.72/13.27  EPR                                     5
% 92.72/13.27  Horn                                    42
% 92.72/13.27  unary                                   4
% 92.72/13.27  binary                                  20
% 92.72/13.27  lits                                    234
% 92.72/13.27  lits eq                                 4
% 92.72/13.27  fd_pure                                 0
% 92.72/13.27  fd_pseudo                               0
% 92.72/13.27  fd_cond                                 0
% 92.72/13.27  fd_pseudo_cond                          3
% 92.72/13.27  AC symbols                              0
% 92.72/13.27  
% 92.72/13.27  ------ Schedule dynamic 5 is on 
% 92.72/13.27  
% 92.72/13.27  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 92.72/13.27  
% 92.72/13.27  
% 92.72/13.27  ------ 
% 92.72/13.27  Current options:
% 92.72/13.27  ------ 
% 92.72/13.27  
% 92.72/13.27  
% 92.72/13.27  
% 92.72/13.27  
% 92.72/13.27  ------ Proving...
% 92.72/13.27  Proof_search_loop: time out after: 4011 full_loop iterations
% 92.72/13.27  
% 92.72/13.27  ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 92.72/13.27  
% 92.72/13.27  
% 92.72/13.27  ------ 
% 92.72/13.27  Current options:
% 92.72/13.27  ------ 
% 92.72/13.27  
% 92.72/13.27  
% 92.72/13.27  
% 92.72/13.27  
% 92.72/13.27  ------ Proving...
% 92.72/13.27  
% 92.72/13.27  
% 92.72/13.27  % SZS status Theorem for theBenchmark.p
% 92.72/13.27  
% 92.72/13.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 92.72/13.27  
% 92.72/13.27  
%------------------------------------------------------------------------------