TSTP Solution File: SWC126+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC126+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 04:27:50 EDT 2024

% Result   : Theorem 18.82s 2.87s
% Output   : CNFRefutation 18.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   68 (  17 unt;   0 def)
%            Number of atoms       :  264 (  43 equ)
%            Maximal formula atoms :   28 (   3 avg)
%            Number of connectives :  329 ( 133   ~; 127   |;  31   &)
%                                         (   4 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   97 (   0 sgn  56   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ( ( ~ neq(X2,nil)
                        | ! [X5] :
                            ( ssItem(X5)
                           => ( cons(X5,nil) != X3
                              | ~ memberP(X4,X5) ) )
                        | ( neq(X1,nil)
                          & segmentP(X2,X1) ) )
                      & ( ~ neq(X2,nil)
                        | neq(X4,nil) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',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(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).

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

fof(ax3,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( memberP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ssList(X4)
                    & app(X3,cons(X2,X4)) = X1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).

fof(ax18,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) != X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax18) ).

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

fof(c_0_12,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ( ( ~ neq(X2,nil)
                          | ! [X5] :
                              ( ssItem(X5)
                             => ( cons(X5,nil) != X3
                                | ~ memberP(X4,X5) ) )
                          | ( neq(X1,nil)
                            & segmentP(X2,X1) ) )
                        & ( ~ neq(X2,nil)
                          | neq(X4,nil) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_13,negated_conjecture,
    ( ssList(esk1_0)
    & ssList(esk2_0)
    & ssList(esk3_0)
    & ssList(esk4_0)
    & esk2_0 = esk4_0
    & esk1_0 = esk3_0
    & ( neq(esk2_0,nil)
      | neq(esk2_0,nil) )
    & ( ~ neq(esk4_0,nil)
      | neq(esk2_0,nil) )
    & ( neq(esk2_0,nil)
      | ssItem(esk5_0) )
    & ( ~ neq(esk4_0,nil)
      | ssItem(esk5_0) )
    & ( neq(esk2_0,nil)
      | cons(esk5_0,nil) = esk3_0 )
    & ( ~ neq(esk4_0,nil)
      | cons(esk5_0,nil) = esk3_0 )
    & ( neq(esk2_0,nil)
      | memberP(esk4_0,esk5_0) )
    & ( ~ neq(esk4_0,nil)
      | memberP(esk4_0,esk5_0) )
    & ( neq(esk2_0,nil)
      | ~ neq(esk1_0,nil)
      | ~ segmentP(esk2_0,esk1_0) )
    & ( ~ neq(esk4_0,nil)
      | ~ neq(esk1_0,nil)
      | ~ segmentP(esk2_0,esk1_0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).

fof(c_0_14,plain,
    ! [X27,X28,X31,X32] :
      ( ( ssList(esk8_2(X27,X28))
        | ~ segmentP(X27,X28)
        | ~ ssList(X28)
        | ~ ssList(X27) )
      & ( ssList(esk9_2(X27,X28))
        | ~ segmentP(X27,X28)
        | ~ ssList(X28)
        | ~ ssList(X27) )
      & ( app(app(esk8_2(X27,X28),X28),esk9_2(X27,X28)) = X27
        | ~ segmentP(X27,X28)
        | ~ ssList(X28)
        | ~ ssList(X27) )
      & ( ~ ssList(X31)
        | ~ ssList(X32)
        | app(app(X31,X28),X32) != X27
        | segmentP(X27,X28)
        | ~ ssList(X28)
        | ~ ssList(X27) ) ),
    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_15,negated_conjecture,
    ( neq(esk2_0,nil)
    | neq(esk2_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,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_14]) ).

fof(c_0_17,plain,
    ! [X21] :
      ( ~ ssList(X21)
      | app(nil,X21) = X21 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])])]) ).

fof(c_0_18,plain,
    ! [X83,X84] :
      ( ~ ssList(X83)
      | ~ ssList(X84)
      | ssList(app(X83,X84)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])]) ).

fof(c_0_19,plain,
    ! [X22,X23] :
      ( ~ ssList(X22)
      | ~ ssItem(X23)
      | cons(X23,X22) = app(cons(X23,nil),X22) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])]) ).

cnf(c_0_20,negated_conjecture,
    ( cons(esk5_0,nil) = esk3_0
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_22,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_23,negated_conjecture,
    neq(esk2_0,nil),
    inference(cn,[status(thm)],[c_0_15]) ).

cnf(c_0_24,negated_conjecture,
    ( ssItem(esk5_0)
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_25,plain,
    ! [X26] :
      ( ~ ssList(X26)
      | app(X26,nil) = X26 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])])]) ).

fof(c_0_26,plain,
    ! [X45,X46,X49,X50] :
      ( ( ssList(esk10_2(X45,X46))
        | ~ memberP(X45,X46)
        | ~ ssItem(X46)
        | ~ ssList(X45) )
      & ( ssList(esk11_2(X45,X46))
        | ~ memberP(X45,X46)
        | ~ ssItem(X46)
        | ~ ssList(X45) )
      & ( app(esk10_2(X45,X46),cons(X46,esk11_2(X45,X46))) = X45
        | ~ memberP(X45,X46)
        | ~ ssItem(X46)
        | ~ ssList(X45) )
      & ( ~ ssList(X49)
        | ~ ssList(X50)
        | app(X49,cons(X46,X50)) != X45
        | memberP(X45,X46)
        | ~ ssItem(X46)
        | ~ ssList(X45) ) ),
    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)],[ax3])])])])])]) ).

cnf(c_0_27,negated_conjecture,
    ( memberP(esk4_0,esk5_0)
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_28,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) != X1 ) ),
    inference(fof_simplification,[status(thm)],[ax18]) ).

cnf(c_0_29,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_16]) ).

cnf(c_0_30,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_31,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_32,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_33,plain,
    ( cons(X2,X1) = app(cons(X2,nil),X1)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_34,negated_conjecture,
    cons(esk5_0,nil) = esk1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]) ).

cnf(c_0_35,negated_conjecture,
    ssItem(esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_22]),c_0_23])]) ).

cnf(c_0_36,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_37,plain,
    ( app(esk10_2(X1,X2),cons(X2,esk11_2(X1,X2))) = X1
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_38,negated_conjecture,
    memberP(esk2_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_22]),c_0_22]),c_0_23])]) ).

cnf(c_0_39,negated_conjecture,
    ssList(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_40,plain,
    ( ssList(esk10_2(X1,X2))
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_41,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    inference(fof_simplification,[status(thm)],[ax15]) ).

fof(c_0_42,plain,
    ! [X60,X61] :
      ( ~ ssList(X60)
      | ~ ssItem(X61)
      | cons(X61,X60) != X60 ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).

fof(c_0_43,plain,
    ! [X33,X34,X35] :
      ( ~ ssList(X33)
      | ~ ssList(X34)
      | ~ ssList(X35)
      | ~ segmentP(X33,X34)
      | ~ segmentP(X34,X35)
      | segmentP(X33,X35) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax53])])])]) ).

cnf(c_0_44,plain,
    ( segmentP(app(X1,X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),c_0_32]) ).

cnf(c_0_45,negated_conjecture,
    ( app(esk1_0,X1) = cons(esk5_0,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).

cnf(c_0_46,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_47,plain,
    ( segmentP(app(X1,X2),X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_36]),c_0_31])]),c_0_32]) ).

cnf(c_0_48,negated_conjecture,
    app(esk10_2(esk2_0,esk5_0),cons(esk5_0,esk11_2(esk2_0,esk5_0))) = esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_35])]) ).

cnf(c_0_49,negated_conjecture,
    ssList(esk10_2(esk2_0,esk5_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_38]),c_0_39]),c_0_35])]) ).

fof(c_0_50,plain,
    ! [X58,X59] :
      ( ~ ssList(X58)
      | ~ ssItem(X59)
      | ssList(cons(X59,X58)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])]) ).

cnf(c_0_51,plain,
    ( ssList(esk11_2(X1,X2))
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ neq(esk4_0,nil)
    | ~ neq(esk1_0,nil)
    | ~ segmentP(esk2_0,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_53,plain,
    ! [X14,X15] :
      ( ( ~ neq(X14,X15)
        | X14 != X15
        | ~ ssList(X15)
        | ~ ssList(X14) )
      & ( X14 = X15
        | neq(X14,X15)
        | ~ ssList(X15)
        | ~ ssList(X14) ) ),
    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_41])])])])]) ).

cnf(c_0_54,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X2)
    | cons(X2,X1) != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_55,plain,
    ( segmentP(X1,X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ segmentP(X1,X2)
    | ~ segmentP(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_56,negated_conjecture,
    ( segmentP(cons(esk5_0,X1),esk1_0)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).

cnf(c_0_57,negated_conjecture,
    ( ssList(cons(esk5_0,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_45]),c_0_46])]) ).

cnf(c_0_58,negated_conjecture,
    ( segmentP(esk2_0,cons(esk5_0,esk11_2(esk2_0,esk5_0)))
    | ~ ssList(cons(esk5_0,esk11_2(esk2_0,esk5_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).

cnf(c_0_59,plain,
    ( ssList(cons(X2,X1))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_60,negated_conjecture,
    ssList(esk11_2(esk2_0,esk5_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_38]),c_0_39]),c_0_35])]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ segmentP(esk2_0,esk1_0)
    | ~ neq(esk1_0,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_22]),c_0_23])]) ).

cnf(c_0_62,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_63,negated_conjecture,
    esk1_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_34]),c_0_31]),c_0_35])]) ).

cnf(c_0_64,negated_conjecture,
    ( segmentP(X1,esk1_0)
    | ~ segmentP(X1,cons(esk5_0,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_46])]),c_0_57]) ).

cnf(c_0_65,negated_conjecture,
    segmentP(esk2_0,cons(esk5_0,esk11_2(esk2_0,esk5_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_35])]) ).

cnf(c_0_66,negated_conjecture,
    ~ segmentP(esk2_0,esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_31]),c_0_46])]),c_0_63]) ).

cnf(c_0_67,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_64,c_0_65]),c_0_39]),c_0_60])]),c_0_66]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC126+1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sun May 19 02:55:38 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.82/2.87  # Version: 3.1.0
% 18.82/2.87  # Preprocessing class: FSLSSMSSSSSNFFN.
% 18.82/2.87  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.82/2.87  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 18.82/2.87  # Starting new_bool_3 with 300s (1) cores
% 18.82/2.87  # Starting new_bool_1 with 300s (1) cores
% 18.82/2.87  # Starting sh5l with 300s (1) cores
% 18.82/2.87  # sh5l with pid 18020 completed with status 0
% 18.82/2.87  # Result found by sh5l
% 18.82/2.87  # Preprocessing class: FSLSSMSSSSSNFFN.
% 18.82/2.87  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.82/2.87  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 18.82/2.87  # Starting new_bool_3 with 300s (1) cores
% 18.82/2.87  # Starting new_bool_1 with 300s (1) cores
% 18.82/2.87  # Starting sh5l with 300s (1) cores
% 18.82/2.87  # SinE strategy is gf500_gu_R04_F100_L20000
% 18.82/2.87  # Search class: FGHSF-FSLM21-MFFFFFNN
% 18.82/2.87  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 18.82/2.87  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 18.82/2.87  # G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with pid 18027 completed with status 0
% 18.82/2.87  # Result found by G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c
% 18.82/2.87  # Preprocessing class: FSLSSMSSSSSNFFN.
% 18.82/2.87  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.82/2.87  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 18.82/2.87  # Starting new_bool_3 with 300s (1) cores
% 18.82/2.87  # Starting new_bool_1 with 300s (1) cores
% 18.82/2.87  # Starting sh5l with 300s (1) cores
% 18.82/2.87  # SinE strategy is gf500_gu_R04_F100_L20000
% 18.82/2.87  # Search class: FGHSF-FSLM21-MFFFFFNN
% 18.82/2.87  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 18.82/2.87  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 18.82/2.87  # Preprocessing time       : 0.002 s
% 18.82/2.87  # Presaturation interreduction done
% 18.82/2.87  
% 18.82/2.87  # Proof found!
% 18.82/2.87  # SZS status Theorem
% 18.82/2.87  # SZS output start CNFRefutation
% See solution above
% 18.82/2.87  # Parsed axioms                        : 96
% 18.82/2.87  # Removed by relevancy pruning/SinE    : 8
% 18.82/2.87  # Initial clauses                      : 183
% 18.82/2.87  # Removed in clause preprocessing      : 2
% 18.82/2.87  # Initial clauses in saturation        : 181
% 18.82/2.87  # Processed clauses                    : 18310
% 18.82/2.87  # ...of these trivial                  : 227
% 18.82/2.87  # ...subsumed                          : 13780
% 18.82/2.87  # ...remaining for further processing  : 4303
% 18.82/2.87  # Other redundant clauses eliminated   : 513
% 18.82/2.87  # Clauses deleted for lack of memory   : 0
% 18.82/2.87  # Backward-subsumed                    : 191
% 18.82/2.87  # Backward-rewritten                   : 404
% 18.82/2.87  # Generated clauses                    : 110524
% 18.82/2.87  # ...of the previous two non-redundant : 100037
% 18.82/2.87  # ...aggressively subsumed             : 0
% 18.82/2.87  # Contextual simplify-reflections      : 1323
% 18.82/2.87  # Paramodulations                      : 109980
% 18.82/2.87  # Factorizations                       : 4
% 18.82/2.87  # NegExts                              : 0
% 18.82/2.87  # Equation resolutions                 : 541
% 18.82/2.87  # Disequality decompositions           : 0
% 18.82/2.87  # Total rewrite steps                  : 133631
% 18.82/2.87  # ...of those cached                   : 133062
% 18.82/2.87  # Propositional unsat checks           : 0
% 18.82/2.87  #    Propositional check models        : 0
% 18.82/2.87  #    Propositional check unsatisfiable : 0
% 18.82/2.87  #    Propositional clauses             : 0
% 18.82/2.87  #    Propositional clauses after purity: 0
% 18.82/2.87  #    Propositional unsat core size     : 0
% 18.82/2.87  #    Propositional preprocessing time  : 0.000
% 18.82/2.87  #    Propositional encoding time       : 0.000
% 18.82/2.87  #    Propositional solver time         : 0.000
% 18.82/2.87  #    Success case prop preproc time    : 0.000
% 18.82/2.87  #    Success case prop encoding time   : 0.000
% 18.82/2.87  #    Success case prop solver time     : 0.000
% 18.82/2.87  # Current number of processed clauses  : 3518
% 18.82/2.87  #    Positive orientable unit clauses  : 625
% 18.82/2.87  #    Positive unorientable unit clauses: 0
% 18.82/2.87  #    Negative unit clauses             : 499
% 18.82/2.87  #    Non-unit-clauses                  : 2394
% 18.82/2.87  # Current number of unprocessed clauses: 81138
% 18.82/2.87  # ...number of literals in the above   : 506335
% 18.82/2.87  # Current number of archived formulas  : 0
% 18.82/2.87  # Current number of archived clauses   : 765
% 18.82/2.87  # Clause-clause subsumption calls (NU) : 1250344
% 18.82/2.87  # Rec. Clause-clause subsumption calls : 288902
% 18.82/2.87  # Non-unit clause-clause subsumptions  : 8014
% 18.82/2.87  # Unit Clause-clause subsumption calls : 58309
% 18.82/2.87  # Rewrite failures with RHS unbound    : 0
% 18.82/2.87  # BW rewrite match attempts            : 1880
% 18.82/2.87  # BW rewrite match successes           : 139
% 18.82/2.87  # Condensation attempts                : 0
% 18.82/2.87  # Condensation successes               : 0
% 18.82/2.87  # Termbank termtop insertions          : 2934195
% 18.82/2.87  # Search garbage collected termcells   : 3883
% 18.82/2.87  
% 18.82/2.87  # -------------------------------------------------
% 18.82/2.87  # User time                : 2.205 s
% 18.82/2.87  # System time              : 0.055 s
% 18.82/2.87  # Total time               : 2.260 s
% 18.82/2.87  # Maximum resident set size: 2428 pages
% 18.82/2.87  
% 18.82/2.87  # -------------------------------------------------
% 18.82/2.87  # User time                : 2.208 s
% 18.82/2.87  # System time              : 0.057 s
% 18.82/2.87  # Total time               : 2.265 s
% 18.82/2.87  # Maximum resident set size: 1824 pages
% 18.82/2.87  % E---3.1 exiting
%------------------------------------------------------------------------------