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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWC089+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n005.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 20:26:37 EDT 2022

% Result   : Theorem 0.45s 26.61s
% Output   : CNFRefutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  142 (  16 unt;   0 def)
%            Number of atoms       :  625 ( 190 equ)
%            Maximal formula atoms :   27 (   4 avg)
%            Number of connectives :  873 ( 390   ~; 375   |;  55   &)
%                                         (   4 <=>;  49  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   6 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-2 aty)
%            Number of variables   :  226 (   0 sgn  87   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ~ neq(X2,nil)
                    | ? [X5] :
                        ( ssList(X5)
                        & neq(X5,nil)
                        & segmentP(X2,X5)
                        & segmentP(X1,X5) )
                    | ( nil != X3
                      & nil = X4 )
                    | ( neq(X4,nil)
                      & ( ~ neq(X3,nil)
                        | ? [X6] :
                            ( ssList(X6)
                            & X4 != X6
                            & ? [X7] :
                                ( ssList(X7)
                                & ? [X8] :
                                    ( ssList(X8)
                                    & tl(X3) = X7
                                    & app(X7,X8) = X6
                                    & ? [X9] :
                                        ( ssItem(X9)
                                        & cons(X9,nil) = X8
                                        & hd(X3) = X9
                                        & neq(nil,X3) )
                                    & neq(nil,X3) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).

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

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(ax81,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) = app(cons(X2,nil),X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).

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

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

fof(ax55,axiom,
    ! [X1] :
      ( ssList(X1)
     => segmentP(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).

fof(ax53,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( ( segmentP(X1,X2)
                  & segmentP(X2,X3) )
               => segmentP(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax53) ).

fof(ax58,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( segmentP(nil,X1)
      <=> nil = X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax58) ).

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

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

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

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

fof(ax27,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssItem(X3)
             => cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax27) ).

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

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

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(c_0_23,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ~ neq(X2,nil)
                      | ? [X5] :
                          ( ssList(X5)
                          & neq(X5,nil)
                          & segmentP(X2,X5)
                          & segmentP(X1,X5) )
                      | ( nil != X3
                        & nil = X4 )
                      | ( neq(X4,nil)
                        & ( ~ neq(X3,nil)
                          | ? [X6] :
                              ( ssList(X6)
                              & X4 != X6
                              & ? [X7] :
                                  ( ssList(X7)
                                  & ? [X8] :
                                      ( ssList(X8)
                                      & tl(X3) = X7
                                      & app(X7,X8) = X6
                                      & ? [X9] :
                                          ( ssItem(X9)
                                          & cons(X9,nil) = X8
                                          & hd(X3) = X9
                                          & neq(nil,X3) )
                                      & neq(nil,X3) ) ) ) ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_24,negated_conjecture,
    ! [X14,X15,X16,X17,X18] :
      ( ssList(esk1_0)
      & ssList(esk2_0)
      & ssList(esk3_0)
      & ssList(esk4_0)
      & esk2_0 = esk4_0
      & esk1_0 = esk3_0
      & neq(esk2_0,nil)
      & ( ~ ssList(X14)
        | ~ neq(X14,nil)
        | ~ segmentP(esk2_0,X14)
        | ~ segmentP(esk1_0,X14) )
      & ( nil = esk3_0
        | nil != esk4_0 )
      & ( neq(esk3_0,nil)
        | ~ neq(esk4_0,nil) )
      & ( ~ ssList(X15)
        | esk4_0 = X15
        | ~ ssList(X16)
        | ~ ssList(X17)
        | tl(esk3_0) != X16
        | app(X16,X17) != X15
        | ~ ssItem(X18)
        | cons(X18,nil) != X17
        | hd(esk3_0) != X18
        | ~ neq(nil,esk3_0)
        | ~ neq(nil,esk3_0)
        | ~ neq(esk4_0,nil) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_23])])])])])])])]) ).

fof(c_0_25,plain,
    ! [X5,X6,X9,X10] :
      ( ( ssList(esk11_2(X5,X6))
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( ssList(esk12_2(X5,X6))
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( app(app(esk11_2(X5,X6),X6),esk12_2(X5,X6)) = X5
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( ~ ssList(X9)
        | ~ ssList(X10)
        | app(app(X9,X6),X10) != X5
        | segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])])])]) ).

fof(c_0_26,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | app(nil,X2) = X2 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

fof(c_0_27,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | nil = X2
      | cons(hd(X2),tl(X2)) = X2 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).

fof(c_0_28,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | cons(X4,X3) = app(cons(X4,nil),X3) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])])]) ).

fof(c_0_29,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | nil = X2
      | ssItem(hd(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).

fof(c_0_30,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | nil = X2
      | ssList(tl(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ segmentP(esk1_0,X1)
    | ~ segmentP(esk2_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_32,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_33,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_34,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | segmentP(X2,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])]) ).

cnf(c_0_35,negated_conjecture,
    ssList(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_36,negated_conjecture,
    neq(esk2_0,nil),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_37,plain,
    ! [X4,X5,X6] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | ~ segmentP(X4,X5)
      | ~ segmentP(X5,X6)
      | segmentP(X4,X6) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax53])])])])]) ).

fof(c_0_38,plain,
    ! [X2] :
      ( ( ~ segmentP(nil,X2)
        | nil = X2
        | ~ ssList(X2) )
      & ( nil != X2
        | segmentP(nil,X2)
        | ~ ssList(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])]) ).

fof(c_0_39,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | segmentP(X2,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).

cnf(c_0_40,plain,
    ( segmentP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_41,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_42,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_43,plain,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_44,plain,
    ( cons(X1,X2) = app(cons(X1,nil),X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_45,plain,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_46,plain,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ segmentP(esk3_0,X1)
    | ~ segmentP(esk4_0,X1)
    | ~ ssList(X1)
    | ~ neq(X1,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).

cnf(c_0_48,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_49,negated_conjecture,
    ssList(esk4_0),
    inference(rw,[status(thm)],[c_0_35,c_0_33]) ).

cnf(c_0_50,negated_conjecture,
    neq(esk4_0,nil),
    inference(rw,[status(thm)],[c_0_36,c_0_33]) ).

cnf(c_0_51,plain,
    ( segmentP(X1,X2)
    | ~ segmentP(X3,X2)
    | ~ segmentP(X1,X3)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_52,plain,
    ( segmentP(nil,X1)
    | ~ ssList(X1)
    | nil != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_53,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_54,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_55,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | nil != cons(X4,X3) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])])])]) ).

cnf(c_0_56,plain,
    ( segmentP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).

cnf(c_0_57,plain,
    ( app(cons(hd(X1),nil),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46]) ).

cnf(c_0_58,negated_conjecture,
    ~ segmentP(esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50])]) ).

cnf(c_0_59,plain,
    ( segmentP(X1,X2)
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_42])]),c_0_53]) ).

cnf(c_0_60,negated_conjecture,
    ssList(esk3_0),
    inference(rw,[status(thm)],[c_0_54,c_0_32]) ).

cnf(c_0_61,plain,
    ( nil != cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

fof(c_0_62,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | app(X2,nil) = X2 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).

fof(c_0_63,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssList(X4)
      | ssList(app(X3,X4)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])])]) ).

cnf(c_0_64,negated_conjecture,
    ( esk4_0 = X4
    | ~ neq(esk4_0,nil)
    | ~ neq(nil,esk3_0)
    | ~ neq(nil,esk3_0)
    | hd(esk3_0) != X1
    | cons(X1,nil) != X2
    | ~ ssItem(X1)
    | app(X3,X2) != X4
    | tl(esk3_0) != X3
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_65,plain,
    ( nil = X1
    | segmentP(X1,cons(hd(X1),nil))
    | ~ ssList(cons(hd(X1),nil))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57])]),c_0_46]) ).

cnf(c_0_66,negated_conjecture,
    esk4_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_49]),c_0_60])]) ).

fof(c_0_67,plain,
    ! [X3,X4] :
      ( ( ~ neq(X3,X4)
        | X3 != X4
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( X3 = X4
        | neq(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])])])]) ).

fof(c_0_68,plain,
    ! [X4,X5,X6] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | ~ ssItem(X6)
      | cons(X6,app(X5,X4)) = app(cons(X6,X5),X4) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])])])]) ).

fof(c_0_69,plain,
    ! [X3,X4] :
      ( ( nil = X4
        | nil != app(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( nil = X3
        | nil != app(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( nil != X4
        | nil != X3
        | nil = app(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])])])]) ).

cnf(c_0_70,plain,
    ( app(cons(X1,nil),X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(pm,[status(thm)],[c_0_61,c_0_44]) ).

cnf(c_0_71,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

fof(c_0_72,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | ssList(cons(X4,X3)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])])]) ).

cnf(c_0_73,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

fof(c_0_74,plain,
    ! [X4,X5,X6] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | app(app(X4,X5),X6) = app(X4,app(X5,X6)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])])])]) ).

cnf(c_0_75,negated_conjecture,
    ( esk4_0 = X4
    | hd(esk3_0) != X1
    | tl(esk3_0) != X3
    | app(X3,X2) != X4
    | cons(X1,nil) != X2
    | ~ ssItem(X1)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ neq(nil,esk3_0)
    | ~ neq(esk4_0,nil) ),
    inference(cn,[status(thm)],[c_0_64]) ).

cnf(c_0_76,negated_conjecture,
    ( ~ segmentP(esk3_0,cons(hd(esk4_0),nil))
    | ~ ssList(cons(hd(esk4_0),nil))
    | ~ neq(cons(hd(esk4_0),nil),nil) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_65]),c_0_49])]),c_0_66]) ).

cnf(c_0_77,plain,
    ( neq(X1,X2)
    | X1 = X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_78,plain,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_79,plain,
    ( nil = app(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | nil != X1
    | nil != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_80,plain,
    ( cons(X1,nil) != nil
    | ~ ssList(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_42])]) ).

cnf(c_0_81,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_82,plain,
    ( segmentP(X1,X2)
    | app(X3,X2) != X1
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_71]),c_0_42])]),c_0_73]) ).

cnf(c_0_83,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_84,negated_conjecture,
    ( esk4_0 = X1
    | cons(X2,nil) != X3
    | hd(esk3_0) != X2
    | tl(esk3_0) != X4
    | app(X4,X3) != X1
    | ~ ssList(X1)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ neq(nil,esk3_0)
    | ~ ssItem(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_50])]) ).

cnf(c_0_85,negated_conjecture,
    ( cons(hd(esk4_0),nil) = nil
    | ~ segmentP(esk3_0,cons(hd(esk4_0),nil))
    | ~ ssList(cons(hd(esk4_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_42])]) ).

cnf(c_0_86,plain,
    ( cons(X1,nil) = app(cons(X1,X2),X3)
    | nil != X3
    | nil != X2
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_87,plain,
    ( cons(X1,nil) != nil
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_42])]) ).

cnf(c_0_88,plain,
    ( segmentP(X1,X2)
    | app(X3,app(X4,X2)) != X1
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_73]) ).

cnf(c_0_89,plain,
    ( app(nil,X1) = app(X2,app(X3,X1))
    | nil != X3
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_83,c_0_79]) ).

cnf(c_0_90,negated_conjecture,
    ( esk4_0 = X1
    | app(X2,cons(X3,nil)) != X1
    | hd(esk3_0) != X3
    | tl(esk3_0) != X2
    | ~ ssList(cons(X3,nil))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ neq(nil,esk3_0)
    | ~ ssItem(X3) ),
    inference(er,[status(thm)],[c_0_84]) ).

cnf(c_0_91,negated_conjecture,
    ( nil != X1
    | nil != X2
    | ~ segmentP(esk3_0,app(cons(hd(esk4_0),X2),X1))
    | ~ ssList(cons(hd(esk4_0),nil))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(hd(esk4_0)) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).

cnf(c_0_92,plain,
    ( ssList(app(cons(X1,nil),X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(pm,[status(thm)],[c_0_81,c_0_44]) ).

cnf(c_0_93,plain,
    ( app(cons(X1,X2),nil) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_71]),c_0_42])]) ).

cnf(c_0_94,plain,
    ( segmentP(X1,X2)
    | app(nil,X2) != X1
    | nil != X3
    | nil != X4
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X4) ),
    inference(pm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_95,negated_conjecture,
    ( esk4_0 = X1
    | cons(X2,nil) != X1
    | tl(esk3_0) != nil
    | hd(esk3_0) != X2
    | ~ ssList(cons(X2,nil))
    | ~ ssList(X1)
    | ~ neq(nil,esk3_0)
    | ~ ssItem(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_41]),c_0_42])]) ).

cnf(c_0_96,negated_conjecture,
    ( nil != X1
    | nil != X2
    | ~ segmentP(esk3_0,app(cons(hd(esk4_0),X2),X1))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(hd(esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_81]),c_0_42])]) ).

cnf(c_0_97,plain,
    ( ssList(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_42])]) ).

cnf(c_0_98,plain,
    ( segmentP(X1,X2)
    | app(nil,X2) != X1
    | nil != X3
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    inference(spm,[status(thm)],[c_0_94,c_0_42]) ).

cnf(c_0_99,negated_conjecture,
    ( esk4_0 = X1
    | cons(X2,nil) != X1
    | tl(esk3_0) != nil
    | hd(esk3_0) != X2
    | ~ ssList(X1)
    | ~ neq(nil,esk3_0)
    | ~ ssItem(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_81]),c_0_42])]) ).

cnf(c_0_100,negated_conjecture,
    ( nil != X1
    | ~ segmentP(esk3_0,cons(hd(esk4_0),X1))
    | ~ ssList(X1)
    | ~ ssItem(hd(esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_93]),c_0_42])]) ).

cnf(c_0_101,negated_conjecture,
    ( esk4_0 = app(X1,cons(X2,nil))
    | hd(esk3_0) != X2
    | tl(esk3_0) != X1
    | ~ ssList(X1)
    | ~ neq(nil,esk3_0)
    | ~ ssItem(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_90]),c_0_73]),c_0_97]) ).

cnf(c_0_102,plain,
    ( segmentP(X1,X2)
    | app(nil,X2) != X1
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_98,c_0_42]) ).

cnf(c_0_103,negated_conjecture,
    ( neq(esk3_0,nil)
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_104,negated_conjecture,
    ( esk4_0 = cons(X1,nil)
    | tl(esk3_0) != nil
    | hd(esk3_0) != X1
    | ~ ssList(cons(X1,nil))
    | ~ neq(nil,esk3_0)
    | ~ ssItem(X1) ),
    inference(er,[status(thm)],[c_0_99]) ).

cnf(c_0_105,negated_conjecture,
    ( nil != X1
    | ~ segmentP(esk3_0,app(cons(hd(esk4_0),nil),X1))
    | ~ ssList(X1)
    | ~ ssItem(hd(esk4_0)) ),
    inference(pm,[status(thm)],[c_0_100,c_0_44]) ).

cnf(c_0_106,negated_conjecture,
    ( esk4_0 = app(X1,cons(hd(esk3_0),nil))
    | tl(esk3_0) != X1
    | ~ ssList(X1)
    | ~ neq(nil,esk3_0)
    | ~ ssItem(hd(esk3_0)) ),
    inference(er,[status(thm)],[c_0_101]) ).

cnf(c_0_107,negated_conjecture,
    ( app(nil,X1) != esk4_0
    | ~ segmentP(esk3_0,X1)
    | ~ ssList(X1)
    | ~ neq(X1,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_102]),c_0_49])]) ).

cnf(c_0_108,negated_conjecture,
    ( nil != X1
    | ~ segmentP(esk3_0,X1)
    | ~ ssList(X1)
    | ~ neq(X1,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_59]),c_0_49])]) ).

cnf(c_0_109,negated_conjecture,
    neq(esk3_0,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_50])]) ).

cnf(c_0_110,negated_conjecture,
    ( esk4_0 = cons(X1,nil)
    | tl(esk3_0) != nil
    | hd(esk3_0) != X1
    | ~ neq(nil,esk3_0)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_81]),c_0_42])]) ).

cnf(c_0_111,negated_conjecture,
    ( ~ segmentP(esk3_0,cons(hd(esk4_0),nil))
    | ~ ssItem(hd(esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_93]),c_0_42])]) ).

cnf(c_0_112,negated_conjecture,
    ( esk4_0 = app(tl(esk3_0),cons(hd(esk3_0),nil))
    | ~ ssList(tl(esk3_0))
    | ~ neq(nil,esk3_0)
    | ~ ssItem(hd(esk3_0)) ),
    inference(er,[status(thm)],[c_0_106]) ).

fof(c_0_113,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssList(X4)
      | nil = X3
      | hd(app(X3,X4)) = hd(X3) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax85])])])])]) ).

cnf(c_0_114,negated_conjecture,
    ( X1 != esk4_0
    | ~ segmentP(esk3_0,X1)
    | ~ ssList(X1)
    | ~ neq(X1,nil) ),
    inference(spm,[status(thm)],[c_0_107,c_0_41]) ).

cnf(c_0_115,negated_conjecture,
    esk3_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_48]),c_0_60]),c_0_109])]) ).

cnf(c_0_116,negated_conjecture,
    ( esk4_0 = cons(hd(esk3_0),nil)
    | tl(esk3_0) != nil
    | ~ neq(nil,esk3_0)
    | ~ ssItem(hd(esk3_0)) ),
    inference(er,[status(thm)],[c_0_110]) ).

cnf(c_0_117,negated_conjecture,
    ( ~ segmentP(esk3_0,cons(hd(app(tl(esk3_0),cons(hd(esk3_0),nil))),nil))
    | ~ ssList(tl(esk3_0))
    | ~ neq(nil,esk3_0)
    | ~ ssItem(hd(app(tl(esk3_0),cons(hd(esk3_0),nil))))
    | ~ ssItem(hd(esk3_0)) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_118,plain,
    ( hd(app(X1,X2)) = hd(X1)
    | nil = X1
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_119,negated_conjecture,
    ( esk4_0 != cons(hd(esk3_0),nil)
    | ~ ssList(cons(hd(esk3_0),nil))
    | ~ neq(cons(hd(esk3_0),nil),nil) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_65]),c_0_60])]),c_0_115]) ).

cnf(c_0_120,negated_conjecture,
    ( neq(cons(hd(esk3_0),nil),nil)
    | tl(esk3_0) != nil
    | ~ neq(nil,esk3_0)
    | ~ ssItem(hd(esk3_0)) ),
    inference(spm,[status(thm)],[c_0_50,c_0_116]) ).

fof(c_0_121,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | hd(cons(X4,X3)) = X4 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])])])]) ).

cnf(c_0_122,negated_conjecture,
    ( tl(esk3_0) = nil
    | ~ segmentP(esk3_0,cons(hd(tl(esk3_0)),nil))
    | ~ ssList(tl(esk3_0))
    | ~ neq(nil,esk3_0)
    | ~ ssItem(hd(esk3_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_97]),c_0_45]) ).

cnf(c_0_123,plain,
    ( nil = X1
    | segmentP(X2,cons(hd(X1),nil))
    | ~ segmentP(X2,X1)
    | ~ ssList(cons(hd(X1),nil))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_65]) ).

cnf(c_0_124,negated_conjecture,
    ( tl(esk3_0) != nil
    | ~ neq(nil,esk3_0)
    | ~ ssItem(hd(esk3_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_116]),c_0_120]),c_0_97]) ).

cnf(c_0_125,plain,
    ( hd(cons(X1,X2)) = X1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

fof(c_0_126,plain,
    ! [X4] :
      ( ( ssList(esk5_1(X4))
        | nil = X4
        | ~ ssList(X4) )
      & ( ssItem(esk6_1(X4))
        | nil = X4
        | ~ ssList(X4) )
      & ( cons(esk6_1(X4),esk5_1(X4)) = X4
        | nil = X4
        | ~ ssList(X4) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])])])]) ).

cnf(c_0_127,negated_conjecture,
    ( ~ segmentP(esk3_0,tl(esk3_0))
    | ~ ssList(cons(hd(tl(esk3_0)),nil))
    | ~ ssList(tl(esk3_0))
    | ~ neq(nil,esk3_0)
    | ~ ssItem(hd(esk3_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_60])]),c_0_124]) ).

cnf(c_0_128,plain,
    ( segmentP(X1,X2)
    | cons(X3,X2) != X1
    | ~ ssList(cons(X3,nil))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X3) ),
    inference(pm,[status(thm)],[c_0_82,c_0_44]) ).

cnf(c_0_129,plain,
    ( cons(X1,tl(cons(X1,X2))) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_125]),c_0_81]),c_0_61]) ).

cnf(c_0_130,plain,
    ( nil = X1
    | cons(esk6_1(X1),esk5_1(X1)) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_131,plain,
    ( nil = X1
    | ssItem(esk6_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_132,plain,
    ( nil = X1
    | ssList(esk5_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_133,negated_conjecture,
    ( ~ segmentP(esk3_0,tl(esk3_0))
    | ~ ssList(tl(esk3_0))
    | ~ neq(nil,esk3_0)
    | ~ ssItem(hd(tl(esk3_0)))
    | ~ ssItem(hd(esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_81]),c_0_42])]) ).

cnf(c_0_134,plain,
    ( segmentP(X1,X2)
    | cons(X3,X2) != X1
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_81]),c_0_42])]) ).

cnf(c_0_135,plain,
    ( cons(esk6_1(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]),c_0_132]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ segmentP(esk3_0,tl(esk3_0))
    | ~ ssList(tl(esk3_0))
    | ~ neq(nil,esk3_0)
    | ~ ssItem(hd(esk3_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_45]),c_0_124]) ).

cnf(c_0_137,plain,
    ( nil = X1
    | segmentP(X1,tl(X1))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135])]),c_0_131]),c_0_46]) ).

cnf(c_0_138,negated_conjecture,
    ( ~ ssList(tl(esk3_0))
    | ~ neq(nil,esk3_0)
    | ~ ssItem(hd(esk3_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_60])]),c_0_115]) ).

cnf(c_0_139,negated_conjecture,
    ( ~ neq(nil,esk3_0)
    | ~ ssItem(hd(esk3_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_46]),c_0_60])]),c_0_115]) ).

cnf(c_0_140,negated_conjecture,
    ~ neq(nil,esk3_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_45]),c_0_60])]),c_0_115]) ).

cnf(c_0_141,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_77]),c_0_60]),c_0_42])]),c_0_115]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SWC089+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.14  % Command  : run_ET %s %d
% 0.15/0.36  % Computer : n005.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Sun Jun 12 04:26:54 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.42/23.44  eprover: CPU time limit exceeded, terminating
% 0.42/23.45  eprover: CPU time limit exceeded, terminating
% 0.42/23.46  eprover: CPU time limit exceeded, terminating
% 0.42/23.47  eprover: CPU time limit exceeded, terminating
% 0.45/26.61  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.45/26.61  
% 0.45/26.61  # Failure: Resource limit exceeded (time)
% 0.45/26.61  # OLD status Res
% 0.45/26.61  # Preprocessing time       : 0.026 s
% 0.45/26.61  # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.45/26.61  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.45/26.61  # Preprocessing time       : 0.023 s
% 0.45/26.61  
% 0.45/26.61  # Proof found!
% 0.45/26.61  # SZS status Theorem
% 0.45/26.61  # SZS output start CNFRefutation
% See solution above
% 0.45/26.61  # Proof object total steps             : 142
% 0.45/26.61  # Proof object clause steps            : 96
% 0.45/26.61  # Proof object formula steps           : 46
% 0.45/26.61  # Proof object conjectures             : 52
% 0.45/26.61  # Proof object clause conjectures      : 49
% 0.45/26.61  # Proof object formula conjectures     : 3
% 0.45/26.61  # Proof object initial clauses used    : 32
% 0.45/26.61  # Proof object initial formulas used   : 23
% 0.45/26.61  # Proof object generating inferences   : 57
% 0.45/26.61  # Proof object simplifying inferences  : 99
% 0.45/26.61  # Training examples: 0 positive, 0 negative
% 0.45/26.61  # Parsed axioms                        : 96
% 0.45/26.61  # Removed by relevancy pruning/SinE    : 60
% 0.45/26.61  # Initial clauses                      : 61
% 0.45/26.61  # Removed in clause preprocessing      : 0
% 0.45/26.61  # Initial clauses in saturation        : 61
% 0.45/26.61  # Processed clauses                    : 5379
% 0.45/26.61  # ...of these trivial                  : 174
% 0.45/26.61  # ...subsumed                          : 3781
% 0.45/26.61  # ...remaining for further processing  : 1424
% 0.45/26.61  # Other redundant clauses eliminated   : 588
% 0.45/26.61  # Clauses deleted for lack of memory   : 0
% 0.45/26.61  # Backward-subsumed                    : 365
% 0.45/26.61  # Backward-rewritten                   : 41
% 0.45/26.61  # Generated clauses                    : 42446
% 0.45/26.61  # ...of the previous two non-trivial   : 39535
% 0.45/26.61  # Contextual simplify-reflections      : 7328
% 0.45/26.61  # Paramodulations                      : 41019
% 0.45/26.61  # Factorizations                       : 0
% 0.45/26.61  # Equation resolutions                 : 752
% 0.45/26.61  # Current number of processed clauses  : 1015
% 0.45/26.61  #    Positive orientable unit clauses  : 32
% 0.45/26.61  #    Positive unorientable unit clauses: 0
% 0.45/26.61  #    Negative unit clauses             : 66
% 0.45/26.61  #    Non-unit-clauses                  : 917
% 0.45/26.61  # Current number of unprocessed clauses: 29982
% 0.45/26.61  # ...number of literals in the above   : 231968
% 0.45/26.61  # Current number of archived formulas  : 0
% 0.45/26.61  # Current number of archived clauses   : 406
% 0.45/26.61  # Clause-clause subsumption calls (NU) : 1473223
% 0.45/26.61  # Rec. Clause-clause subsumption calls : 79918
% 0.45/26.61  # Non-unit clause-clause subsumptions  : 11623
% 0.45/26.61  # Unit Clause-clause subsumption calls : 22016
% 0.45/26.61  # Rewrite failures with RHS unbound    : 0
% 0.45/26.61  # BW rewrite match attempts            : 22
% 0.45/26.61  # BW rewrite match successes           : 22
% 0.45/26.61  # Condensation attempts                : 0
% 0.45/26.61  # Condensation successes               : 0
% 0.45/26.61  # Termbank termtop insertions          : 914549
% 0.45/26.61  
% 0.45/26.61  # -------------------------------------------------
% 0.45/26.61  # User time                : 2.385 s
% 0.45/26.61  # System time              : 0.028 s
% 0.45/26.61  # Total time               : 2.413 s
% 0.45/26.61  # Maximum resident set size: 34040 pages
% 0.45/46.45  eprover: CPU time limit exceeded, terminating
% 0.45/46.46  eprover: CPU time limit exceeded, terminating
% 0.45/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/46.47  eprover: No such file or directory
% 0.45/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.47  eprover: No such file or directory
% 0.45/46.47  eprover: CPU time limit exceeded, terminating
% 0.45/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/46.47  eprover: No such file or directory
% 0.45/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.47  eprover: No such file or directory
% 0.45/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/46.48  eprover: No such file or directory
% 0.45/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.48  eprover: No such file or directory
% 0.45/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.49  eprover: No such file or directory
% 0.45/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/46.49  eprover: No such file or directory
% 0.45/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.49  eprover: No such file or directory
% 0.45/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.49  eprover: No such file or directory
% 0.45/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.49  eprover: No such file or directory
% 0.45/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/46.49  eprover: No such file or directory
% 0.45/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.49  eprover: No such file or directory
% 0.45/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.49  eprover: No such file or directory
% 0.45/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/46.50  eprover: No such file or directory
% 0.45/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.50  eprover: No such file or directory
% 0.45/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.50  eprover: No such file or directory
% 0.45/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.50  eprover: No such file or directory
% 0.45/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/46.50  eprover: No such file or directory
% 0.45/46.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.51  eprover: No such file or directory
% 0.45/46.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/46.51  eprover: No such file or directory
% 0.45/46.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.51  eprover: No such file or directory
% 0.45/46.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.51  eprover: No such file or directory
% 0.45/46.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/46.51  eprover: eprover: No such file or directory
% 0.45/46.51  Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.51  eprover: No such file or directory
% 0.45/46.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.51  eprover: No such file or directory
% 0.45/46.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.45/46.52  eprover: No such file or directory
% 0.45/46.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.52  eprover: No such file or directory
% 0.45/46.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.52  eprover: No such file or directory
% 0.45/46.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.45/46.53  eprover: No such file or directory
%------------------------------------------------------------------------------