TSTP Solution File: SWC031+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC031+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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  : 600s
% DateTime : Tue Jul 19 20:13:10 EDT 2022

% Result   : Theorem 9.16s 2.68s
% Output   : CNFRefutation 9.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  153 (  40 unt;   0 def)
%            Number of atoms       :  549 ( 154 equ)
%            Maximal formula atoms :   21 (   3 avg)
%            Number of connectives :  670 ( 274   ~; 279   |;  47   &)
%                                         (   6 <=>;  64  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   5 con; 0-2 aty)
%            Number of variables   :  203 (   0 sgn 109   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ~ frontsegP(X4,X3)
                    | ~ totalorderedP(X3)
                    | ? [X5] :
                        ( ssList(X5)
                        & neq(X3,X5)
                        & frontsegP(X4,X5)
                        & segmentP(X5,X3)
                        & totalorderedP(X5) )
                    | ( ( nil != X2
                        | nil = X1 )
                      & ( nil != X1
                        | nil = X2 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(ax41,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( ( frontsegP(X1,X2)
              & frontsegP(X2,X1) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax41) ).

fof(ax45,axiom,
    ! [X1] :
      ( ssList(X1)
     => frontsegP(X1,nil) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax45) ).

fof(ax5,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( frontsegP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & app(X2,X3) = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).

fof(ax28,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(nil,X1) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(ax7,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( segmentP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ssList(X4)
                    & app(app(X3,X2),X4) = X1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).

fof(ax84,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(X1,nil) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).

fof(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).

fof(ax82,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).

fof(ax50,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( rearsegP(X1,X2)
               => rearsegP(app(X3,X1),X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax50) ).

fof(ax51,axiom,
    ! [X1] :
      ( ssList(X1)
     => rearsegP(X1,nil) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax51) ).

fof(ax6,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( rearsegP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & app(X3,X2) = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax6) ).

fof(ax78,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => cons(hd(X1),tl(X1)) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax78) ).

fof(ax85,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil != X1
           => hd(app(X1,X2)) = hd(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax85) ).

fof(ax83,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil = app(X1,X2)
          <=> ( nil = X2
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).

fof(ax24,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssList(tl(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).

fof(ax86,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil != X1
           => tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax86) ).

fof(ax19,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssItem(X3)
             => ! [X4] :
                  ( ssItem(X4)
                 => ( cons(X3,X1) = cons(X4,X2)
                   => ( X3 = X4
                      & X2 = X1 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax19) ).

fof(ax20,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil = X1
        | ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( ssItem(X3)
                & cons(X3,X2) = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax20) ).

fof(ax16,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ssList(cons(X2,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).

fof(ax21,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => nil != cons(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).

fof(ax22,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssItem(hd(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).

fof(ax23,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => hd(cons(X2,X1)) = X2 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax23) ).

fof(ax44,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( frontsegP(cons(X1,X3),cons(X2,X4))
                  <=> ( X1 = X2
                      & frontsegP(X3,X4) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax44) ).

fof(ax57,axiom,
    ! [X1] :
      ( ssList(X1)
     => segmentP(X1,nil) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax57) ).

fof(ax65,axiom,
    ! [X1] :
      ( ssItem(X1)
     => totalorderedP(cons(X1,nil)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax65) ).

fof(ax15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

fof(c_0_28,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ~ frontsegP(X4,X3)
                      | ~ totalorderedP(X3)
                      | ? [X5] :
                          ( ssList(X5)
                          & neq(X3,X5)
                          & frontsegP(X4,X5)
                          & segmentP(X5,X3)
                          & totalorderedP(X5) )
                      | ( ( nil != X2
                          | nil = X1 )
                        & ( nil != X1
                          | nil = X2 ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_29,negated_conjecture,
    ! [X255] :
      ( ssList(esk48_0)
      & ssList(esk49_0)
      & ssList(esk50_0)
      & ssList(esk51_0)
      & esk49_0 = esk51_0
      & esk48_0 = esk50_0
      & frontsegP(esk51_0,esk50_0)
      & totalorderedP(esk50_0)
      & ( ~ ssList(X255)
        | ~ neq(esk50_0,X255)
        | ~ frontsegP(esk51_0,X255)
        | ~ segmentP(X255,esk50_0)
        | ~ totalorderedP(X255) )
      & ( nil = esk48_0
        | nil = esk49_0 )
      & ( nil != esk49_0
        | nil = esk49_0 )
      & ( nil = esk48_0
        | nil != esk48_0 )
      & ( nil != esk49_0
        | nil != esk48_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_28])])])])])]) ).

fof(c_0_30,plain,
    ! [X161,X162] :
      ( ~ ssList(X161)
      | ~ ssList(X162)
      | ~ frontsegP(X161,X162)
      | ~ frontsegP(X162,X161)
      | X161 = X162 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax41])])]) ).

cnf(c_0_31,negated_conjecture,
    ssList(esk49_0),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_33,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_35,plain,
    ( X1 = X2
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ frontsegP(X1,X2)
    | ~ frontsegP(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_36,negated_conjecture,
    frontsegP(esk51_0,esk50_0),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_37,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,negated_conjecture,
    ( nil = esk48_0
    | nil = esk49_0 ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_40,negated_conjecture,
    ( esk51_0 = esk50_0
    | ~ frontsegP(esk50_0,esk51_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38])]) ).

cnf(c_0_41,negated_conjecture,
    ( esk51_0 = nil
    | esk50_0 = nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_34]),c_0_32]) ).

fof(c_0_42,plain,
    ! [X171] :
      ( ~ ssList(X171)
      | frontsegP(X171,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).

cnf(c_0_43,negated_conjecture,
    ( esk50_0 = nil
    | ~ frontsegP(esk50_0,nil) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_44,plain,
    ( frontsegP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_45,plain,
    ! [X20,X21,X23] :
      ( ( ssList(esk6_2(X20,X21))
        | ~ frontsegP(X20,X21)
        | ~ ssList(X21)
        | ~ ssList(X20) )
      & ( app(X21,esk6_2(X20,X21)) = X20
        | ~ frontsegP(X20,X21)
        | ~ ssList(X21)
        | ~ ssList(X20) )
      & ( ~ ssList(X23)
        | app(X21,X23) != X20
        | frontsegP(X20,X21)
        | ~ ssList(X21)
        | ~ ssList(X20) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5])])])])]) ).

cnf(c_0_46,negated_conjecture,
    esk50_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_38])]) ).

fof(c_0_47,plain,
    ! [X135] :
      ( ~ ssList(X135)
      | app(nil,X135) = X135 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

cnf(c_0_48,plain,
    ( app(X1,esk6_2(X2,X1)) = X2
    | ~ frontsegP(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_49,negated_conjecture,
    frontsegP(esk51_0,nil),
    inference(rw,[status(thm)],[c_0_36,c_0_46]) ).

cnf(c_0_50,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_51,plain,
    ( ssList(esk6_2(X1,X2))
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

fof(c_0_52,plain,
    ! [X28,X29,X32,X33] :
      ( ( ssList(esk8_2(X28,X29))
        | ~ segmentP(X28,X29)
        | ~ ssList(X29)
        | ~ ssList(X28) )
      & ( ssList(esk9_2(X28,X29))
        | ~ segmentP(X28,X29)
        | ~ ssList(X29)
        | ~ ssList(X28) )
      & ( app(app(esk8_2(X28,X29),X29),esk9_2(X28,X29)) = X28
        | ~ segmentP(X28,X29)
        | ~ ssList(X29)
        | ~ ssList(X28) )
      & ( ~ ssList(X32)
        | ~ ssList(X33)
        | app(app(X32,X29),X33) != X28
        | segmentP(X28,X29)
        | ~ ssList(X29)
        | ~ ssList(X28) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])]) ).

cnf(c_0_53,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_54,negated_conjecture,
    app(nil,esk6_2(esk51_0,nil)) = esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_37]),c_0_50])]) ).

cnf(c_0_55,negated_conjecture,
    ssList(esk6_2(esk51_0,nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_49]),c_0_50]),c_0_37])]) ).

cnf(c_0_56,plain,
    ( segmentP(X4,X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(app(X1,X3),X2) != X4
    | ~ ssList(X3)
    | ~ ssList(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_57,negated_conjecture,
    esk6_2(esk51_0,nil) = esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).

cnf(c_0_58,plain,
    ( segmentP(app(app(X1,X2),X3),X2)
    | ~ ssList(app(app(X1,X2),X3))
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_56]) ).

cnf(c_0_59,negated_conjecture,
    app(nil,esk51_0) = esk51_0,
    inference(rw,[status(thm)],[c_0_54,c_0_57]) ).

fof(c_0_60,plain,
    ! [X227] :
      ( ~ ssList(X227)
      | app(X227,nil) = X227 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).

cnf(c_0_61,negated_conjecture,
    ( segmentP(app(esk51_0,X1),esk51_0)
    | ~ ssList(app(esk51_0,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_37]),c_0_50])]) ).

cnf(c_0_62,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

fof(c_0_63,plain,
    ! [X130,X131] :
      ( ~ ssList(X130)
      | ~ ssList(X131)
      | ssList(app(X130,X131)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).

fof(c_0_64,plain,
    ! [X222,X223,X224] :
      ( ~ ssList(X222)
      | ~ ssList(X223)
      | ~ ssList(X224)
      | app(app(X222,X223),X224) = app(X222,app(X223,X224)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).

cnf(c_0_65,plain,
    ( app(app(esk8_2(X1,X2),X2),esk9_2(X1,X2)) = X1
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_66,negated_conjecture,
    segmentP(esk51_0,esk51_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_37]),c_0_50])]) ).

cnf(c_0_67,plain,
    ( ssList(esk9_2(X1,X2))
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_68,plain,
    ( ssList(esk8_2(X1,X2))
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_69,plain,
    ( frontsegP(X3,X2)
    | ~ ssList(X1)
    | app(X2,X1) != X3
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_70,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_71,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_72,negated_conjecture,
    app(app(esk8_2(esk51_0,esk51_0),esk51_0),esk9_2(esk51_0,esk51_0)) = esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_37])]) ).

cnf(c_0_73,negated_conjecture,
    ssList(esk9_2(esk51_0,esk51_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_66]),c_0_37])]) ).

cnf(c_0_74,negated_conjecture,
    ssList(esk8_2(esk51_0,esk51_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_66]),c_0_37])]) ).

cnf(c_0_75,plain,
    ( frontsegP(app(X1,X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_69]),c_0_70]) ).

cnf(c_0_76,negated_conjecture,
    app(esk8_2(esk51_0,esk51_0),app(esk51_0,esk9_2(esk51_0,esk51_0))) = esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_37]),c_0_74])]) ).

fof(c_0_77,plain,
    ! [X179,X180,X181] :
      ( ~ ssList(X179)
      | ~ ssList(X180)
      | ~ ssList(X181)
      | ~ rearsegP(X179,X180)
      | rearsegP(app(X181,X179),X180) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])])]) ).

fof(c_0_78,plain,
    ! [X182] :
      ( ~ ssList(X182)
      | rearsegP(X182,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax51])]) ).

cnf(c_0_79,negated_conjecture,
    ( frontsegP(esk51_0,esk8_2(esk51_0,esk51_0))
    | ~ ssList(app(esk51_0,esk9_2(esk51_0,esk51_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_74])]) ).

cnf(c_0_80,plain,
    ( rearsegP(app(X3,X1),X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ rearsegP(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_81,plain,
    ( rearsegP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_82,negated_conjecture,
    frontsegP(esk51_0,esk8_2(esk51_0,esk51_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_70]),c_0_73]),c_0_37])]) ).

fof(c_0_83,plain,
    ! [X24,X25,X27] :
      ( ( ssList(esk7_2(X24,X25))
        | ~ rearsegP(X24,X25)
        | ~ ssList(X25)
        | ~ ssList(X24) )
      & ( app(esk7_2(X24,X25),X25) = X24
        | ~ rearsegP(X24,X25)
        | ~ ssList(X25)
        | ~ ssList(X24) )
      & ( ~ ssList(X27)
        | app(X27,X25) != X24
        | rearsegP(X24,X25)
        | ~ ssList(X25)
        | ~ ssList(X24) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])])])])]) ).

cnf(c_0_84,plain,
    ( rearsegP(app(X1,X2),nil)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_50])]) ).

cnf(c_0_85,negated_conjecture,
    app(esk8_2(esk51_0,esk51_0),esk6_2(esk51_0,esk8_2(esk51_0,esk51_0))) = esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_82]),c_0_37]),c_0_74])]) ).

cnf(c_0_86,negated_conjecture,
    ssList(esk6_2(esk51_0,esk8_2(esk51_0,esk51_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_82]),c_0_74]),c_0_37])]) ).

cnf(c_0_87,plain,
    ( app(esk7_2(X1,X2),X2) = X1
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_88,negated_conjecture,
    rearsegP(esk51_0,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_74]),c_0_86])]) ).

cnf(c_0_89,plain,
    ( ssList(esk7_2(X1,X2))
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_90,negated_conjecture,
    app(esk7_2(esk51_0,nil),nil) = esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_50]),c_0_37])]) ).

cnf(c_0_91,negated_conjecture,
    ssList(esk7_2(esk51_0,nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_88]),c_0_50]),c_0_37])]) ).

cnf(c_0_92,negated_conjecture,
    ( nil != esk49_0
    | nil != esk48_0 ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

fof(c_0_93,plain,
    ! [X213] :
      ( ~ ssList(X213)
      | nil = X213
      | cons(hd(X213),tl(X213)) = X213 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).

fof(c_0_94,plain,
    ! [X228,X229] :
      ( ~ ssList(X228)
      | ~ ssList(X229)
      | nil = X228
      | hd(app(X228,X229)) = hd(X228) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax85])])]) ).

fof(c_0_95,plain,
    ! [X225,X226] :
      ( ( nil = X226
        | nil != app(X225,X226)
        | ~ ssList(X226)
        | ~ ssList(X225) )
      & ( nil = X225
        | nil != app(X225,X226)
        | ~ ssList(X226)
        | ~ ssList(X225) )
      & ( nil != X226
        | nil != X225
        | nil = app(X225,X226)
        | ~ ssList(X226)
        | ~ ssList(X225) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])]) ).

fof(c_0_96,plain,
    ! [X127] :
      ( ~ ssList(X127)
      | nil = X127
      | ssList(tl(X127)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).

fof(c_0_97,plain,
    ! [X230,X231] :
      ( ~ ssList(X230)
      | ~ ssList(X231)
      | nil = X230
      | tl(app(X230,X231)) = app(tl(X230),X231) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax86])])]) ).

cnf(c_0_98,negated_conjecture,
    esk7_2(esk51_0,nil) = esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_90]),c_0_91])]) ).

cnf(c_0_99,negated_conjecture,
    ( esk50_0 != nil
    | esk51_0 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_34]),c_0_32]) ).

fof(c_0_100,plain,
    ! [X115,X116,X117,X118] :
      ( ( X117 = X118
        | cons(X117,X115) != cons(X118,X116)
        | ~ ssItem(X118)
        | ~ ssItem(X117)
        | ~ ssList(X116)
        | ~ ssList(X115) )
      & ( X116 = X115
        | cons(X117,X115) != cons(X118,X116)
        | ~ ssItem(X118)
        | ~ ssItem(X117)
        | ~ ssList(X116)
        | ~ ssList(X115) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])])])]) ).

fof(c_0_101,plain,
    ! [X119] :
      ( ( ssList(esk44_1(X119))
        | nil = X119
        | ~ ssList(X119) )
      & ( ssItem(esk45_1(X119))
        | nil = X119
        | ~ ssList(X119) )
      & ( cons(esk45_1(X119),esk44_1(X119)) = X119
        | nil = X119
        | ~ ssList(X119) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])]) ).

fof(c_0_102,plain,
    ! [X111,X112] :
      ( ~ ssList(X111)
      | ~ ssItem(X112)
      | ssList(cons(X112,X111)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).

fof(c_0_103,plain,
    ! [X122,X123] :
      ( ~ ssList(X122)
      | ~ ssItem(X123)
      | nil != cons(X123,X122) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).

cnf(c_0_104,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_105,plain,
    ( nil = X1
    | hd(app(X1,X2)) = hd(X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_106,plain,
    ( nil = X1
    | nil != app(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_107,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_108,plain,
    ( nil = X1
    | tl(app(X1,X2)) = app(tl(X1),X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_109,negated_conjecture,
    app(esk51_0,nil) = esk51_0,
    inference(rw,[status(thm)],[c_0_90,c_0_98]) ).

cnf(c_0_110,negated_conjecture,
    esk51_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_46])]) ).

cnf(c_0_111,plain,
    ( X1 = X2
    | cons(X3,X2) != cons(X4,X1)
    | ~ ssItem(X4)
    | ~ ssItem(X3)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_112,plain,
    ( cons(esk45_1(X1),esk44_1(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_113,plain,
    ( ssItem(esk45_1(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_114,plain,
    ( ssList(cons(X2,X1))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_115,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X2)
    | nil != cons(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_116,plain,
    ( cons(hd(X1),tl(app(X1,X2))) = app(X1,X2)
    | nil = X1
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_70]),c_0_106]) ).

cnf(c_0_117,plain,
    ( nil = X1
    | ssList(app(tl(X1),X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_70]),c_0_106]) ).

cnf(c_0_118,negated_conjecture,
    app(tl(esk51_0),nil) = tl(esk51_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_50]),c_0_37])]),c_0_110]) ).

cnf(c_0_119,plain,
    ( esk44_1(cons(X1,X2)) = X2
    | ~ ssList(esk44_1(cons(X1,X2)))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112])]),c_0_113]),c_0_114]),c_0_115]) ).

cnf(c_0_120,negated_conjecture,
    cons(hd(esk51_0),tl(esk51_0)) = esk51_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_109]),c_0_50]),c_0_37])]),c_0_110]) ).

cnf(c_0_121,negated_conjecture,
    ssList(tl(esk51_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_50]),c_0_37])]),c_0_110]) ).

cnf(c_0_122,negated_conjecture,
    ( esk44_1(esk51_0) = tl(esk51_0)
    | ~ ssList(esk44_1(esk51_0))
    | ~ ssItem(hd(esk51_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121])]) ).

cnf(c_0_123,plain,
    ( ssList(esk44_1(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

fof(c_0_124,plain,
    ! [X124] :
      ( ~ ssList(X124)
      | nil = X124
      | ssItem(hd(X124)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).

cnf(c_0_125,negated_conjecture,
    ( esk44_1(esk51_0) = tl(esk51_0)
    | ~ ssItem(hd(esk51_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_37])]),c_0_110]) ).

cnf(c_0_126,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_124]) ).

fof(c_0_127,plain,
    ! [X125,X126] :
      ( ~ ssList(X125)
      | ~ ssItem(X126)
      | hd(cons(X126,X125)) = X126 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).

cnf(c_0_128,negated_conjecture,
    esk44_1(esk51_0) = tl(esk51_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_37])]),c_0_110]) ).

fof(c_0_129,plain,
    ! [X167,X168,X169,X170] :
      ( ( X167 = X168
        | ~ frontsegP(cons(X167,X169),cons(X168,X170))
        | ~ ssList(X170)
        | ~ ssList(X169)
        | ~ ssItem(X168)
        | ~ ssItem(X167) )
      & ( frontsegP(X169,X170)
        | ~ frontsegP(cons(X167,X169),cons(X168,X170))
        | ~ ssList(X170)
        | ~ ssList(X169)
        | ~ ssItem(X168)
        | ~ ssItem(X167) )
      & ( X167 != X168
        | ~ frontsegP(X169,X170)
        | frontsegP(cons(X167,X169),cons(X168,X170))
        | ~ ssList(X170)
        | ~ ssList(X169)
        | ~ ssItem(X168)
        | ~ ssItem(X167) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax44])])])]) ).

cnf(c_0_130,plain,
    ( hd(cons(X2,X1)) = X2
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_131,negated_conjecture,
    cons(esk45_1(esk51_0),tl(esk51_0)) = esk51_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_128]),c_0_37])]),c_0_110]) ).

cnf(c_0_132,plain,
    ( frontsegP(cons(X1,X3),cons(X2,X4))
    | X1 != X2
    | ~ frontsegP(X3,X4)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_129]) ).

cnf(c_0_133,negated_conjecture,
    ( esk45_1(esk51_0) = hd(esk51_0)
    | ~ ssItem(esk45_1(esk51_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_121])]) ).

fof(c_0_134,plain,
    ! [X194] :
      ( ~ ssList(X194)
      | segmentP(X194,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).

cnf(c_0_135,plain,
    ( frontsegP(cons(X1,X2),cons(X1,X3))
    | ~ frontsegP(X2,X3)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(er,[status(thm)],[c_0_132]) ).

cnf(c_0_136,negated_conjecture,
    esk45_1(esk51_0) = hd(esk51_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_113]),c_0_37])]),c_0_110]) ).

cnf(c_0_137,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(esk50_0,X1)
    | ~ frontsegP(esk51_0,X1)
    | ~ segmentP(X1,esk50_0)
    | ~ totalorderedP(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_138,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_139,plain,
    ( frontsegP(cons(X1,X2),cons(X1,nil))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_44]),c_0_50])]) ).

cnf(c_0_140,negated_conjecture,
    ssItem(hd(esk51_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_136]),c_0_37])]),c_0_110]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ totalorderedP(X1)
    | ~ frontsegP(esk51_0,X1)
    | ~ ssList(X1)
    | ~ neq(nil,X1) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_46]),c_0_46]),c_0_138]) ).

cnf(c_0_142,negated_conjecture,
    frontsegP(esk51_0,cons(hd(esk51_0),nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_120]),c_0_121]),c_0_140])]) ).

fof(c_0_143,plain,
    ! [X199] :
      ( ~ ssItem(X199)
      | totalorderedP(cons(X199,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax65])]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ totalorderedP(cons(hd(esk51_0),nil))
    | ~ ssList(cons(hd(esk51_0),nil))
    | ~ neq(nil,cons(hd(esk51_0),nil)) ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_145,plain,
    ( totalorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ ssList(cons(hd(esk51_0),nil))
    | ~ neq(nil,cons(hd(esk51_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_140])]) ).

fof(c_0_147,plain,
    ! [X109,X110] :
      ( ( ~ neq(X109,X110)
        | X109 != X110
        | ~ ssList(X110)
        | ~ ssList(X109) )
      & ( X109 = X110
        | neq(X109,X110)
        | ~ ssList(X110)
        | ~ ssList(X109) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).

cnf(c_0_148,negated_conjecture,
    ~ neq(nil,cons(hd(esk51_0),nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_114]),c_0_50]),c_0_140])]) ).

cnf(c_0_149,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_150,negated_conjecture,
    ( cons(hd(esk51_0),nil) = nil
    | ~ ssList(cons(hd(esk51_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_50])]) ).

cnf(c_0_151,negated_conjecture,
    cons(hd(esk51_0),nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_114]),c_0_50]),c_0_140])]) ).

cnf(c_0_152,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_151]),c_0_50]),c_0_140])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : SWC031+1 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.10  % Command  : enigmatic-eprover.py %s %d 1
% 0.08/0.29  % Computer : n032.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 600
% 0.08/0.29  % DateTime : Sun Jun 12 13:38:57 EDT 2022
% 0.08/0.29  % CPUTime  : 
% 0.13/0.37  # ENIGMATIC: Selected SinE mode:
% 0.13/0.38  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.13/0.38  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.13/0.38  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.16/2.68  # ENIGMATIC: Solved by autoschedule:
% 9.16/2.68  # No SInE strategy applied
% 9.16/2.68  # Trying AutoSched0 for 150 seconds
% 9.16/2.68  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 9.16/2.68  # and selection function SelectNewComplexAHP.
% 9.16/2.68  #
% 9.16/2.68  # Preprocessing time       : 0.022 s
% 9.16/2.68  # Presaturation interreduction done
% 9.16/2.68  
% 9.16/2.68  # Proof found!
% 9.16/2.68  # SZS status Theorem
% 9.16/2.68  # SZS output start CNFRefutation
% See solution above
% 9.16/2.68  # Training examples: 0 positive, 0 negative
% 9.16/2.68  
% 9.16/2.68  # -------------------------------------------------
% 9.16/2.68  # User time                : 0.178 s
% 9.16/2.68  # System time              : 0.008 s
% 9.16/2.68  # Total time               : 0.186 s
% 9.16/2.68  # Maximum resident set size: 7120 pages
% 9.16/2.68  
%------------------------------------------------------------------------------