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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SWC066+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:44:46 PM UTC 2026

% Result   : Theorem 228.05s 33.65s
% Output   : CNFRefutation 228.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  134 (  19 unt;   0 def)
%            Number of atoms       :  514 ( 132 equ)
%            Maximal formula atoms :   27 (   3 avg)
%            Number of connectives :  648 ( 268   ~; 261   |;  47   &)
%                                         (   4 <=>;  68  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :  205 (   0 sgn 101   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( ( ( ? [X6] :
                            ( segmentP(X1,X6)
                            & segmentP(X2,X6)
                            & neq(X6,nil)
                            & ssList(X6) )
                        | ~ neq(X2,nil) )
                      & ( nil = X1
                        | nil != X2 ) )
                    | ? [X5] :
                        ( totalorderedP(X5)
                        & segmentP(X5,X3)
                        & segmentP(X4,X5)
                        & neq(X3,X5)
                        & ssList(X5) )
                    | ~ totalorderedP(X3)
                    | ~ segmentP(X4,X3)
                    | X1 != X3
                    | X2 != X4 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(ax79,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( app(X3,X2) = app(X1,X2)
               => X3 = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax79) ).

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

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

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

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

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

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

fof(ax80,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( app(X2,X3) = app(X2,X1)
               => X3 = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax80) ).

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

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

fof(ax54,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( ( segmentP(X2,X1)
              & segmentP(X1,X2) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax54) ).

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

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

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

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

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

fof(c_0_23,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( ( ( ? [X6] :
                              ( segmentP(X1,X6)
                              & segmentP(X2,X6)
                              & neq(X6,nil)
                              & ssList(X6) )
                          | ~ neq(X2,nil) )
                        & ( nil = X1
                          | nil != X2 ) )
                      | ? [X5] :
                          ( totalorderedP(X5)
                          & segmentP(X5,X3)
                          & segmentP(X4,X5)
                          & neq(X3,X5)
                          & ssList(X5) )
                      | ~ totalorderedP(X3)
                      | ~ segmentP(X4,X3)
                      | X1 != X3
                      | X2 != X4 ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_24,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( ( ( ? [X6] :
                              ( segmentP(X1,X6)
                              & segmentP(X2,X6)
                              & neq(X6,nil)
                              & ssList(X6) )
                          | ~ neq(X2,nil) )
                        & ( nil = X1
                          | nil != X2 ) )
                      | ? [X5] :
                          ( totalorderedP(X5)
                          & segmentP(X5,X3)
                          & segmentP(X4,X5)
                          & neq(X3,X5)
                          & ssList(X5) )
                      | ~ totalorderedP(X3)
                      | ~ segmentP(X4,X3)
                      | X1 != X3
                      | X2 != X4 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_25,negated_conjecture,
    ! [X11,X12] :
      ( ( nil != esk1_0
        | ~ segmentP(esk1_0,X12)
        | ~ segmentP(esk2_0,X12)
        | ~ neq(X12,nil)
        | ~ ssList(X12) )
      & ( nil != esk1_0
        | neq(esk2_0,nil) )
      & ( nil = esk2_0
        | ~ segmentP(esk1_0,X12)
        | ~ segmentP(esk2_0,X12)
        | ~ neq(X12,nil)
        | ~ ssList(X12) )
      & ( nil = esk2_0
        | neq(esk2_0,nil) )
      & ( ~ totalorderedP(X11)
        | ~ segmentP(X11,esk3_0)
        | ~ segmentP(esk4_0,X11)
        | ~ neq(esk3_0,X11)
        | ~ ssList(X11) )
      & totalorderedP(esk3_0)
      & segmentP(esk4_0,esk3_0)
      & esk1_0 = esk3_0
      & esk2_0 = esk4_0
      & ssList(esk4_0)
      & ssList(esk3_0)
      & ssList(esk2_0)
      & ssList(esk1_0) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])])]) ).

fof(c_0_26,plain,
    ! [X60,X61,X62] :
      ( X62 = X60
      | app(X62,X61) != app(X60,X61)
      | ~ ssList(X62)
      | ~ ssList(X61)
      | ~ ssList(X60) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])])]) ).

fof(c_0_27,plain,
    ! [X68,X69,X70] :
      ( app(app(X68,X69),X70) = app(X68,app(X69,X70))
      | ~ ssList(X70)
      | ~ ssList(X69)
      | ~ ssList(X68) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])])]) ).

fof(c_0_28,plain,
    ! [X54,X55] :
      ( ssList(app(X54,X55))
      | ~ ssList(X55)
      | ~ ssList(X54) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])]) ).

fof(c_0_29,plain,
    ! [X59] :
      ( app(nil,X59) = X59
      | ~ ssList(X59) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])])]) ).

fof(c_0_30,plain,
    ! [X19,X20,X21] :
      ( segmentP(X19,X21)
      | ~ segmentP(X20,X21)
      | ~ segmentP(X19,X20)
      | ~ ssList(X21)
      | ~ ssList(X20)
      | ~ ssList(X19) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax53])])])]) ).

cnf(c_0_31,negated_conjecture,
    segmentP(esk4_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_32,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_33,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_34,plain,
    ! [X13,X14,X17,X18] :
      ( ( ~ ssList(X13)
        | ~ ssList(X14)
        | segmentP(X13,X14)
        | app(app(X17,X14),X18) != X13
        | ~ ssList(X18)
        | ~ ssList(X17) )
      & ( ~ ssList(X13)
        | ~ ssList(X14)
        | ~ segmentP(X13,X14)
        | app(app(esk5_2(X13,X14),X14),esk6_2(X13,X14)) = X13 )
      & ( ~ ssList(X13)
        | ~ ssList(X14)
        | ~ segmentP(X13,X14)
        | ssList(esk6_2(X13,X14)) )
      & ( ~ ssList(X13)
        | ~ ssList(X14)
        | ~ segmentP(X13,X14)
        | ssList(esk5_2(X13,X14)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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_35,plain,
    ( app(X3,X2) != app(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | X3 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_36,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(app(X1,X2),X3) = app(X1,app(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_37,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,plain,
    ( ~ ssList(X1)
    | app(nil,X1) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_39,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

fof(c_0_40,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    inference(fof_simplification,[status(thm)],[ax15]) ).

cnf(c_0_41,plain,
    ( ~ segmentP(X2,X3)
    | ~ segmentP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | segmentP(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_42,negated_conjecture,
    segmentP(esk2_0,esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).

cnf(c_0_43,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_44,negated_conjecture,
    ssList(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_45,plain,
    ( ~ ssList(X4)
    | ~ ssList(X3)
    | app(app(X1,X3),X2) != X4
    | ~ ssList(X2)
    | ~ ssList(X1)
    | segmentP(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_46,plain,
    ! [X71,X72] :
      ( ( ~ ssList(X71)
        | ~ ssList(X72)
        | nil = app(X71,X72)
        | nil != X71
        | nil != X72 )
      & ( ~ ssList(X71)
        | ~ ssList(X72)
        | nil != app(X71,X72)
        | nil = X71 )
      & ( ~ ssList(X71)
        | ~ ssList(X72)
        | nil != app(X71,X72)
        | nil = X72 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])])]) ).

cnf(c_0_47,plain,
    ( ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X4)
    | app(X1,X4) != app(X2,app(X3,X4))
    | X1 = app(X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).

cnf(c_0_48,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | app(nil,app(X1,X2)) = app(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_38]),c_0_39])]) ).

fof(c_0_49,plain,
    ! [X33,X34] :
      ( ( ~ ssList(X33)
        | ~ ssList(X34)
        | neq(X33,X34)
        | X33 = X34 )
      & ( ~ ssList(X33)
        | ~ ssList(X34)
        | X33 != X34
        | ~ neq(X33,X34) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])])]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ ssList(X1)
    | ~ segmentP(X1,esk2_0)
    | segmentP(X1,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44])]) ).

cnf(c_0_51,plain,
    ( ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(app(app(X1,X2),X3))
    | segmentP(app(app(X1,X2),X3),X2) ),
    inference(er,[status(thm)],[c_0_45]) ).

fof(c_0_52,plain,
    ! [X63,X64,X65] :
      ( X65 = X63
      | app(X64,X65) != app(X64,X63)
      | ~ ssList(X65)
      | ~ ssList(X64)
      | ~ ssList(X63) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])])]) ).

cnf(c_0_53,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | nil != X2
    | nil != X1
    | nil = app(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

fof(c_0_54,plain,
    ! [X73] :
      ( app(X73,nil) = X73
      | ~ ssList(X73) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])])]) ).

cnf(c_0_55,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | app(X1,X3) != app(X2,X3)
    | X1 = app(nil,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_39])]) ).

cnf(c_0_56,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | neq(X1,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ segmentP(X1,X2)
    | ~ segmentP(X2,esk2_0)
    | segmentP(X1,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_50]),c_0_43])]) ).

cnf(c_0_58,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | segmentP(app(X1,X2),X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_38]),c_0_39])]),c_0_37]) ).

fof(c_0_59,plain,
    ! [X24] :
      ( segmentP(X24,X24)
      | ~ ssList(X24) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])])]) ).

cnf(c_0_60,plain,
    ( app(X2,X3) != app(X2,X1)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | X3 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_61,plain,
    app(nil,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_53])]),c_0_39])]) ).

cnf(c_0_62,plain,
    ( ~ ssList(X1)
    | app(X1,nil) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_63,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ssList(app(X1,app(X2,X3))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_36]),c_0_37]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | app(X1,esk2_0) != app(X2,esk2_0)
    | X1 = app(nil,X2) ),
    inference(spm,[status(thm)],[c_0_55,c_0_44]) ).

cnf(c_0_65,plain,
    ( ~ ssList(X1)
    | neq(X1,nil)
    | X1 = nil ),
    inference(spm,[status(thm)],[c_0_56,c_0_39]) ).

fof(c_0_66,plain,
    ! [X22,X23] :
      ( X22 = X23
      | ~ segmentP(X23,X22)
      | ~ segmentP(X22,X23)
      | ~ ssList(X23)
      | ~ ssList(X22) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax54])])])]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(app(esk2_0,X2))
    | ~ segmentP(X1,app(esk2_0,X2))
    | segmentP(X1,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_44])]) ).

cnf(c_0_68,plain,
    ( ~ ssList(X1)
    | segmentP(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_69,plain,
    ( ~ ssList(X1)
    | app(nil,X1) != nil
    | X1 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_39])]) ).

cnf(c_0_70,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,app(X2,nil)) = app(X1,X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_36]),c_0_39])]),c_0_37]) ).

cnf(c_0_71,plain,
    ( ~ ssList(X1)
    | ssList(app(X1,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_61]),c_0_39])]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ ssList(X1)
    | app(esk2_0,esk2_0) != app(X1,esk2_0)
    | app(nil,X1) = esk2_0 ),
    inference(spm,[status(thm)],[c_0_64,c_0_44]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ segmentP(esk1_0,X1)
    | ~ segmentP(esk2_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1)
    | nil = esk2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_74,negated_conjecture,
    ( neq(esk1_0,nil)
    | esk1_0 = nil ),
    inference(spm,[status(thm)],[c_0_65,c_0_43]) ).

cnf(c_0_75,plain,
    ( ~ segmentP(X2,X1)
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_76,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(app(esk2_0,X1))
    | segmentP(app(esk2_0,X1),esk1_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_77,plain,
    ( ~ ssList(X1)
    | app(nil,X1) != nil
    | app(X1,nil) = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_39])]),c_0_71]) ).

cnf(c_0_78,negated_conjecture,
    app(nil,esk2_0) = esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_72]),c_0_44])]) ).

cnf(c_0_79,negated_conjecture,
    ( ~ segmentP(esk1_0,esk1_0)
    | esk2_0 = nil
    | esk1_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_42]),c_0_43])]) ).

cnf(c_0_80,negated_conjecture,
    ( nil != esk1_0
    | ~ segmentP(esk1_0,X1)
    | ~ segmentP(esk2_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_81,negated_conjecture,
    ( nil != esk1_0
    | neq(esk2_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_82,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | segmentP(app(X1,X2),X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_62]),c_0_39])]),c_0_37]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ ssList(X1)
    | ~ ssList(app(esk2_0,X1))
    | ~ segmentP(esk1_0,app(esk2_0,X1))
    | app(esk2_0,X1) = esk1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_43])]) ).

cnf(c_0_84,negated_conjecture,
    ( esk2_0 != nil
    | app(esk2_0,nil) = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_44])]) ).

cnf(c_0_85,negated_conjecture,
    ( esk1_0 = nil
    | esk2_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_68]),c_0_43])]) ).

fof(c_0_86,plain,
    ! [X29] :
      ( segmentP(X29,nil)
      | ~ ssList(X29) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])])]) ).

fof(c_0_87,plain,
    ! [X76,X77] :
      ( ssList(cons(X77,X76))
      | ~ ssItem(X77)
      | ~ ssList(X76) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])]) ).

fof(c_0_88,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => nil != cons(X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[ax21]) ).

fof(c_0_89,plain,
    ! [X56,X57,X58] :
      ( cons(X58,app(X57,X56)) = app(cons(X58,X57),X56)
      | ~ ssItem(X58)
      | ~ ssList(X57)
      | ~ ssList(X56) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])])]) ).

fof(c_0_90,plain,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => cons(hd(X1),tl(X1)) = X1 ) ),
    inference(fof_simplification,[status(thm)],[ax78]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ segmentP(esk2_0,esk2_0)
    | ~ segmentP(esk1_0,esk2_0)
    | esk1_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_44])]) ).

cnf(c_0_92,negated_conjecture,
    segmentP(esk2_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_78]),c_0_44]),c_0_39])]) ).

cnf(c_0_93,negated_conjecture,
    ( ~ segmentP(esk1_0,nil)
    | esk1_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_39])]),c_0_85]) ).

cnf(c_0_94,plain,
    ( ~ ssList(X1)
    | segmentP(X1,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

fof(c_0_95,plain,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssList(tl(X1)) ) ),
    inference(fof_simplification,[status(thm)],[ax24]) ).

fof(c_0_96,plain,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssItem(hd(X1)) ) ),
    inference(fof_simplification,[status(thm)],[ax22]) ).

cnf(c_0_97,negated_conjecture,
    ( ~ totalorderedP(X1)
    | ~ segmentP(X1,esk3_0)
    | ~ segmentP(esk4_0,X1)
    | ~ neq(esk3_0,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_98,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | ssList(cons(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

fof(c_0_99,plain,
    ! [X38,X39] :
      ( nil != cons(X39,X38)
      | ~ ssItem(X39)
      | ~ ssList(X38) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])])]) ).

cnf(c_0_100,plain,
    ( ~ ssItem(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

fof(c_0_101,plain,
    ! [X104] :
      ( cons(hd(X104),tl(X104)) = X104
      | nil = X104
      | ~ ssList(X104) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])]) ).

cnf(c_0_102,negated_conjecture,
    ( ~ segmentP(esk1_0,esk2_0)
    | esk1_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).

cnf(c_0_103,negated_conjecture,
    esk1_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_43])]) ).

fof(c_0_104,plain,
    ! [X113] :
      ( ssList(tl(X113))
      | nil = X113
      | ~ ssList(X113) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])])]) ).

fof(c_0_105,plain,
    ! [X97] :
      ( ssItem(hd(X97))
      | nil = X97
      | ~ ssList(X97) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_96])])]) ).

cnf(c_0_106,negated_conjecture,
    ( ~ neq(esk1_0,X1)
    | ~ ssList(X1)
    | ~ segmentP(esk2_0,X1)
    | ~ segmentP(X1,esk1_0)
    | ~ totalorderedP(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_33]),c_0_33]),c_0_32]) ).

cnf(c_0_107,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | neq(X1,cons(X2,X3))
    | X1 = cons(X2,X3) ),
    inference(spm,[status(thm)],[c_0_56,c_0_98]) ).

cnf(c_0_108,plain,
    ( nil != cons(X2,X1)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

fof(c_0_109,plain,
    ! [X66,X67] :
      ( cons(X67,X66) = app(cons(X67,nil),X66)
      | ~ ssItem(X67)
      | ~ ssList(X66) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])]) ).

cnf(c_0_110,plain,
    ( ~ ssItem(X1)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ssList(app(cons(X1,X2),X3)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_100]),c_0_37]) ).

cnf(c_0_111,plain,
    ( ~ ssItem(X1)
    | app(cons(X1,nil),nil) = cons(X1,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_61]),c_0_39])]) ).

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

cnf(c_0_113,negated_conjecture,
    ~ segmentP(nil,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103]),c_0_103])]) ).

cnf(c_0_114,plain,
    ( ~ ssList(X1)
    | ssList(tl(X1))
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_115,plain,
    ( ~ ssList(X1)
    | ssItem(hd(X1))
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_116,negated_conjecture,
    ( ~ neq(nil,X1)
    | ~ ssList(X1)
    | ~ segmentP(esk2_0,X1)
    | ~ totalorderedP(X1) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_103]),c_0_103]),c_0_94]) ).

cnf(c_0_117,plain,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | neq(nil,cons(X1,X2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_39]),c_0_108]) ).

fof(c_0_118,plain,
    ! [X51] :
      ( totalorderedP(cons(X51,nil))
      | ~ ssItem(X51) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax65])])]) ).

cnf(c_0_119,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | cons(X2,X1) = app(cons(X2,nil),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_120,plain,
    ( ~ ssItem(X1)
    | ssList(cons(X1,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_39])]) ).

cnf(c_0_121,negated_conjecture,
    ( esk2_0 = nil
    | cons(hd(esk2_0),tl(esk2_0)) = esk2_0 ),
    inference(spm,[status(thm)],[c_0_112,c_0_44]) ).

cnf(c_0_122,negated_conjecture,
    esk2_0 != nil,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_84]),c_0_44]),c_0_39])]),c_0_113]) ).

cnf(c_0_123,negated_conjecture,
    ( ssList(tl(esk2_0))
    | esk2_0 = nil ),
    inference(spm,[status(thm)],[c_0_114,c_0_44]) ).

cnf(c_0_124,negated_conjecture,
    ( ssItem(hd(esk2_0))
    | esk2_0 = nil ),
    inference(spm,[status(thm)],[c_0_115,c_0_44]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ segmentP(esk2_0,cons(X1,X2))
    | ~ totalorderedP(cons(X1,X2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_98]) ).

cnf(c_0_126,plain,
    ( ~ ssItem(X1)
    | totalorderedP(cons(X1,nil)) ),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_127,plain,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | segmentP(cons(X1,X2),cons(X1,nil)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_119]),c_0_120]) ).

cnf(c_0_128,negated_conjecture,
    cons(hd(esk2_0),tl(esk2_0)) = esk2_0,
    inference(sr,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_129,negated_conjecture,
    ssList(tl(esk2_0)),
    inference(sr,[status(thm)],[c_0_123,c_0_122]) ).

cnf(c_0_130,negated_conjecture,
    ssItem(hd(esk2_0)),
    inference(sr,[status(thm)],[c_0_124,c_0_122]) ).

cnf(c_0_131,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ segmentP(esk2_0,cons(X1,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_39])]) ).

cnf(c_0_132,negated_conjecture,
    segmentP(esk2_0,cons(hd(esk2_0),nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]),c_0_130])]) ).

cnf(c_0_133,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_130])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC066+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36  % Computer : n005.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 07:52:17 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.40  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 228.05/33.65  % Version: 3.5.1
% 228.05/33.65  % Preprocessing class: FSLSSMSSSSSNFFN.
% 228.05/33.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 228.05/33.65  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 228.05/33.65  % Starting new_bool_3 with 300s (1) cores
% 228.05/33.65  % Starting new_bool_1 with 300s (1) cores
% 228.05/33.65  % Starting sh5l with 300s (1) cores
% 228.05/33.65  % new_bool_3 with pid 2947672 completed with status 0
% 228.05/33.65  % Result found by new_bool_3
% 228.05/33.65  % Preprocessing class: FSLSSMSSSSSNFFN.
% 228.05/33.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 228.05/33.65  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 228.05/33.65  % Starting new_bool_3 with 300s (1) cores
% 228.05/33.65  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 228.05/33.65  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 228.05/33.65  % Search class: FGHSF-FFMM21-MFFFFFNN
% 228.05/33.65  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 228.05/33.65  % Starting SubtermCWHack with 31s (1) cores
% 228.05/33.65  % SubtermCWHack with pid 2947675 completed with status 8
% 228.05/33.65  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 228.05/33.65  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2948135 completed with status 0
% 228.05/33.65  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 228.05/33.65  % Preprocessing class: FSLSSMSSSSSNFFN.
% 228.05/33.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 228.05/33.65  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 228.05/33.65  % Starting new_bool_3 with 300s (1) cores
% 228.05/33.65  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 228.05/33.65  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 228.05/33.65  % Search class: FGHSF-FFMM21-MFFFFFNN
% 228.05/33.65  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 228.05/33.65  % Starting SubtermCWHack with 31s (1) cores
% 228.05/33.65  % SubtermCWHack with pid 2947675 completed with status 8
% 228.05/33.65  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 228.05/33.65  % Preprocessing time       : 0.003 s
% 228.05/33.65  % Presaturation interreduction done
% 228.05/33.65  
% 228.05/33.65  % Proof found!
% 228.05/33.65  % SZS status Theorem
% 228.05/33.65  % SZS output start CNFRefutation
% See solution above
% 228.05/33.65  % Parsed axioms                        : 96
% 228.05/33.65  % Removed by relevancy pruning/SinE    : 47
% 228.05/33.65  % Initial clauses                      : 89
% 228.05/33.65  % Removed in clause preprocessing      : 1
% 228.05/33.65  % Initial clauses in saturation        : 88
% 228.05/33.65  % Processed clauses                    : 4825
% 228.05/33.65  % ...of these trivial                  : 93
% 228.05/33.65  % ...subsumed                          : 2646
% 228.05/33.65  % ...remaining for further processing  : 2086
% 228.05/33.65  % Other redundant clauses eliminated   : 81
% 228.05/33.65  % Clauses deleted for lack of memory   : 0
% 228.05/33.65  % Backward-subsumed                    : 119
% 228.05/33.65  % Backward-rewritten                   : 566
% 228.05/33.65  % Generated clauses                    : 76519
% 228.05/33.65  % ...of the previous two non-redundant : 75655
% 228.05/33.65  % ...aggressively subsumed             : 0
% 228.05/33.65  % Contextual simplify-reflections      : 308
% 228.05/33.65  % Paramodulations                      : 76216
% 228.05/33.65  % Factorizations                       : 0
% 228.05/33.65  % NegExts                              : 0
% 228.05/33.65  % Equation resolutions                 : 117
% 228.05/33.65  % Disequality decompositions           : 0
% 228.05/33.65  % Total rewrite steps                  : 15765
% 228.05/33.65  % ...of those cached                   : 15709
% 228.05/33.65  % Propositional unsat checks           : 0
% 228.05/33.65  %    Propositional check models        : 0
% 228.05/33.65  %    Propositional check unsatisfiable : 0
% 228.05/33.65  %    Propositional clauses             : 0
% 228.05/33.65  %    Propositional clauses after purity: 0
% 228.05/33.65  %    Propositional unsat core size     : 0
% 228.05/33.65  %    Propositional preprocessing time  : 0.000
% 228.05/33.65  %    Propositional encoding time       : 0.000
% 228.05/33.65  %    Propositional solver time         : 0.000
% 228.05/33.65  %    Success case prop preproc time    : 0.000
% 228.05/33.65  %    Success case prop encoding time   : 0.000
% 228.05/33.65  %    Success case prop solver time     : 0.000
% 228.05/33.65  % Current number of processed clauses  : 1123
% 228.05/33.65  %    Positive orientable unit clauses  : 67
% 228.05/33.65  %    Positive unorientable unit clauses: 0
% 228.05/33.65  %    Negative unit clauses             : 15
% 228.05/33.65  %    Non-unit-clauses                  : 1041
% 228.05/33.65  % Current number of unprocessed clauses: 69100
% 228.05/33.65  % ...number of literals in the above   : 266674
% 228.05/33.65  % Current number of archived formulas  : 0
% 228.05/33.65  % Current number of archived clauses   : 955
% 228.05/33.65  % Clause-clause subsumption calls (NU) : 262325
% 228.05/33.65  % Rec. Clause-clause subsumption calls : 108968
% 228.05/33.65  % Non-unit clause-clause subsumptions  : 2738
% 228.05/33.65  % Unit Clause-clause subsumption calls : 10296
% 228.05/33.65  % Rewrite failures with RHS unbound    : 0
% 228.05/33.65  % BW rewrite match attempts            : 69
% 228.05/33.65  % BW rewrite match successes           : 19
% 228.05/33.65  % Condensation attempts                : 0
% 228.05/33.65  % Condensation successes               : 0
% 228.05/33.65  % Termbank termtop insertions          : 1453715
% 228.05/33.65  % Search garbage collected termcells   : 2235
% 228.05/33.65  
% 228.05/33.65  % -------------------------------------------------
% 228.05/33.65  % User time                : 31.000 s
% 228.05/33.65  % System time              : 1.349 s
% 228.05/33.65  % Total time               : 32.348 s
% 228.05/33.65  % Maximum resident set size: 3964 pages
% 228.05/33.65  
% 228.05/33.65  % -------------------------------------------------
% 228.05/33.65  % User time                : 31.004 s
% 228.05/33.65  % System time              : 1.355 s
% 228.05/33.65  % Total time               : 32.359 s
% 228.05/33.65  % Maximum resident set size: 4608 pages
% 228.05/33.65  % E exiting
%------------------------------------------------------------------------------