TSTP Solution File: SWC090+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC090+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 04:23:13 EDT 2024

% Result   : Theorem 0.64s 0.56s
% Output   : CNFRefutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   77 (  23 unt;   0 def)
%            Number of atoms       :  252 (  84 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  293 ( 118   ~; 113   |;  26   &)
%                                         (   4 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   85 (   0 sgn  51   !;   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] :
                        ( ssList(X5)
                        & neq(X5,nil)
                        & segmentP(X2,X5)
                        & segmentP(X1,X5) )
                    | ! [X6] :
                        ( ssList(X6)
                       => ! [X7] :
                            ( ssList(X7)
                           => ( app(X6,X7) != X4
                              | app(X7,X6) != X3 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

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

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

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

fof(c_0_11,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) )
                      | ! [X6] :
                          ( ssList(X6)
                         => ! [X7] :
                              ( ssList(X7)
                             => ( app(X6,X7) != X4
                                | app(X7,X6) != X3 ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_12,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    inference(fof_simplification,[status(thm)],[ax15]) ).

fof(c_0_13,negated_conjecture,
    ! [X12] :
      ( 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(X12)
        | ~ neq(X12,nil)
        | ~ segmentP(esk2_0,X12)
        | ~ segmentP(esk1_0,X12) )
      & ssList(esk5_0)
      & ssList(esk6_0)
      & app(esk5_0,esk6_0) = esk4_0
      & app(esk6_0,esk5_0) = esk3_0 ),
    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_11])])])])]) ).

fof(c_0_14,plain,
    ! [X55,X56] :
      ( ( ~ neq(X55,X56)
        | X55 != X56
        | ~ ssList(X56)
        | ~ ssList(X55) )
      & ( X55 = X56
        | neq(X55,X56)
        | ~ ssList(X56)
        | ~ ssList(X55) ) ),
    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_12])])])])]) ).

fof(c_0_15,plain,
    ! [X35,X36,X39,X40] :
      ( ( ssList(esk7_2(X35,X36))
        | ~ segmentP(X35,X36)
        | ~ ssList(X36)
        | ~ ssList(X35) )
      & ( ssList(esk8_2(X35,X36))
        | ~ segmentP(X35,X36)
        | ~ ssList(X36)
        | ~ ssList(X35) )
      & ( app(app(esk7_2(X35,X36),X36),esk8_2(X35,X36)) = X35
        | ~ segmentP(X35,X36)
        | ~ ssList(X36)
        | ~ ssList(X35) )
      & ( ~ ssList(X39)
        | ~ ssList(X40)
        | app(app(X39,X36),X40) != X35
        | segmentP(X35,X36)
        | ~ ssList(X36)
        | ~ ssList(X35) ) ),
    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])])])])])]) ).

fof(c_0_16,plain,
    ! [X32,X33] :
      ( ( nil = X33
        | nil != app(X32,X33)
        | ~ ssList(X33)
        | ~ ssList(X32) )
      & ( nil = X32
        | nil != app(X32,X33)
        | ~ ssList(X33)
        | ~ ssList(X32) )
      & ( nil != X33
        | nil != X32
        | nil = app(X32,X33)
        | ~ ssList(X33)
        | ~ ssList(X32) ) ),
    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_17,negated_conjecture,
    app(esk5_0,esk6_0) = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_21,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_15]) ).

cnf(c_0_22,plain,
    ( nil = X1
    | nil != app(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,negated_conjecture,
    app(esk5_0,esk6_0) = esk2_0,
    inference(rw,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    ssList(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_25,negated_conjecture,
    ssList(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_26,negated_conjecture,
    app(esk6_0,esk5_0) = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_27,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_28,plain,
    ! [X29,X30,X31] :
      ( ~ ssList(X29)
      | ~ ssList(X30)
      | ~ ssList(X31)
      | app(app(X29,X30),X31) = app(X29,app(X30,X31)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])])]) ).

cnf(c_0_29,plain,
    ( X1 = nil
    | neq(X1,nil)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_30,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_21]) ).

fof(c_0_31,plain,
    ! [X34] :
      ( ~ ssList(X34)
      | app(X34,nil) = X34 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])])]) ).

fof(c_0_32,plain,
    ! [X20] :
      ( ~ ssList(X20)
      | app(nil,X20) = X20 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])])]) ).

fof(c_0_33,plain,
    ! [X15,X16] :
      ( ~ ssList(X15)
      | ~ ssList(X16)
      | ssList(app(X15,X16)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])]) ).

cnf(c_0_34,negated_conjecture,
    ( esk6_0 = nil
    | esk2_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_35,negated_conjecture,
    app(esk6_0,esk5_0) = esk1_0,
    inference(rw,[status(thm)],[c_0_26,c_0_27]) ).

fof(c_0_36,plain,
    ! [X24,X25,X26] :
      ( ~ ssList(X24)
      | ~ ssList(X25)
      | ~ ssList(X26)
      | app(X25,X26) != app(X25,X24)
      | X26 = X24 ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])])]) ).

cnf(c_0_37,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk2_0,X1)
    | ~ segmentP(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_39,negated_conjecture,
    ( esk6_0 = nil
    | neq(esk6_0,nil) ),
    inference(spm,[status(thm)],[c_0_29,c_0_25]) ).

cnf(c_0_40,negated_conjecture,
    ( segmentP(app(esk2_0,X1),esk6_0)
    | ~ ssList(app(esk2_0,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_23]),c_0_25]),c_0_24])]) ).

cnf(c_0_41,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_42,negated_conjecture,
    ssList(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_43,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_44,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_45,negated_conjecture,
    ( app(esk5_0,nil) = esk2_0
    | esk2_0 != nil ),
    inference(spm,[status(thm)],[c_0_23,c_0_34]) ).

cnf(c_0_46,negated_conjecture,
    ( app(nil,esk5_0) = esk1_0
    | esk2_0 != nil ),
    inference(spm,[status(thm)],[c_0_35,c_0_34]) ).

cnf(c_0_47,plain,
    ( X3 = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(X2,X3) != app(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_48,negated_conjecture,
    ( app(esk6_0,app(esk5_0,X1)) = app(esk1_0,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_35]),c_0_24]),c_0_25])]) ).

cnf(c_0_49,negated_conjecture,
    ( esk6_0 = nil
    | ~ segmentP(esk1_0,esk6_0)
    | ~ segmentP(esk2_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_25])]) ).

cnf(c_0_50,negated_conjecture,
    segmentP(esk2_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_20])]) ).

cnf(c_0_51,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_30,c_0_43]),c_0_20])]),c_0_44]) ).

cnf(c_0_52,negated_conjecture,
    neq(esk2_0,nil),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_53,negated_conjecture,
    ( esk5_0 = esk2_0
    | esk2_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_45]),c_0_24])]) ).

cnf(c_0_54,negated_conjecture,
    ( esk5_0 = esk1_0
    | esk2_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_46]),c_0_24])]) ).

cnf(c_0_55,negated_conjecture,
    ( esk5_0 = nil
    | neq(esk5_0,nil) ),
    inference(spm,[status(thm)],[c_0_29,c_0_24]) ).

cnf(c_0_56,negated_conjecture,
    ( segmentP(app(esk1_0,X1),esk5_0)
    | ~ ssList(app(esk1_0,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_35]),c_0_24]),c_0_25])]) ).

cnf(c_0_57,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_58,negated_conjecture,
    ( X1 = esk5_0
    | app(esk6_0,X1) != esk1_0
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_35]),c_0_24]),c_0_25])]) ).

cnf(c_0_59,negated_conjecture,
    app(esk6_0,esk2_0) = app(esk1_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_23]),c_0_25])]) ).

cnf(c_0_60,negated_conjecture,
    ( esk6_0 = nil
    | ~ segmentP(esk1_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50])]) ).

cnf(c_0_61,negated_conjecture,
    segmentP(esk1_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_35]),c_0_25]),c_0_24])]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ segmentP(esk1_0,esk2_0)
    | ~ segmentP(esk2_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_52]),c_0_42])]) ).

cnf(c_0_63,negated_conjecture,
    ( esk1_0 = esk2_0
    | esk2_0 != nil ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

fof(c_0_64,plain,
    ! [X46] :
      ( ~ ssList(X46)
      | segmentP(X46,X46) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])])]) ).

cnf(c_0_65,negated_conjecture,
    ( esk5_0 = nil
    | ~ segmentP(esk1_0,esk5_0)
    | ~ segmentP(esk2_0,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_55]),c_0_24])]) ).

cnf(c_0_66,negated_conjecture,
    segmentP(esk1_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_41]),c_0_57]),c_0_20])]) ).

cnf(c_0_67,negated_conjecture,
    ( esk5_0 = esk2_0
    | app(esk1_0,esk6_0) != esk1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_42])]) ).

cnf(c_0_68,negated_conjecture,
    esk6_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]) ).

cnf(c_0_69,negated_conjecture,
    app(esk1_0,nil) = esk1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_41]),c_0_35]),c_0_20]),c_0_24])]) ).

cnf(c_0_70,negated_conjecture,
    ( esk2_0 != nil
    | ~ segmentP(esk2_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_71,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_72,negated_conjecture,
    ( esk5_0 = nil
    | ~ segmentP(esk2_0,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66])]) ).

cnf(c_0_73,negated_conjecture,
    esk5_0 = esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68]),c_0_69])]) ).

cnf(c_0_74,negated_conjecture,
    esk2_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_42])]) ).

cnf(c_0_75,negated_conjecture,
    ~ segmentP(esk2_0,esk2_0),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73]),c_0_73]),c_0_74]) ).

cnf(c_0_76,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_71]),c_0_42])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC090+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 02:44:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/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
% 0.64/0.56  # Version: 3.1.0
% 0.64/0.56  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.64/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.64/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.64/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.64/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.64/0.56  # Starting sh5l with 300s (1) cores
% 0.64/0.56  # new_bool_3 with pid 14956 completed with status 0
% 0.64/0.56  # Result found by new_bool_3
% 0.64/0.56  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.64/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.64/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.64/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.64/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.64/0.56  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.64/0.56  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.64/0.56  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.64/0.56  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 14962 completed with status 0
% 0.64/0.56  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.64/0.56  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.64/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.64/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.64/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.64/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.64/0.56  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.64/0.56  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.64/0.56  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.64/0.56  # Preprocessing time       : 0.002 s
% 0.64/0.56  # Presaturation interreduction done
% 0.64/0.56  
% 0.64/0.56  # Proof found!
% 0.64/0.56  # SZS status Theorem
% 0.64/0.56  # SZS output start CNFRefutation
% See solution above
% 0.64/0.56  # Parsed axioms                        : 96
% 0.64/0.56  # Removed by relevancy pruning/SinE    : 70
% 0.64/0.56  # Initial clauses                      : 50
% 0.64/0.56  # Removed in clause preprocessing      : 0
% 0.64/0.56  # Initial clauses in saturation        : 50
% 0.64/0.56  # Processed clauses                    : 670
% 0.64/0.56  # ...of these trivial                  : 39
% 0.64/0.56  # ...subsumed                          : 244
% 0.64/0.56  # ...remaining for further processing  : 387
% 0.64/0.56  # Other redundant clauses eliminated   : 19
% 0.64/0.56  # Clauses deleted for lack of memory   : 0
% 0.64/0.56  # Backward-subsumed                    : 50
% 0.64/0.56  # Backward-rewritten                   : 158
% 0.64/0.56  # Generated clauses                    : 2133
% 0.64/0.56  # ...of the previous two non-redundant : 1992
% 0.64/0.56  # ...aggressively subsumed             : 0
% 0.64/0.56  # Contextual simplify-reflections      : 16
% 0.64/0.56  # Paramodulations                      : 2109
% 0.64/0.56  # Factorizations                       : 0
% 0.64/0.56  # NegExts                              : 0
% 0.64/0.56  # Equation resolutions                 : 23
% 0.64/0.56  # Disequality decompositions           : 0
% 0.64/0.56  # Total rewrite steps                  : 2270
% 0.64/0.56  # ...of those cached                   : 2235
% 0.64/0.56  # Propositional unsat checks           : 0
% 0.64/0.56  #    Propositional check models        : 0
% 0.64/0.56  #    Propositional check unsatisfiable : 0
% 0.64/0.56  #    Propositional clauses             : 0
% 0.64/0.56  #    Propositional clauses after purity: 0
% 0.64/0.56  #    Propositional unsat core size     : 0
% 0.64/0.56  #    Propositional preprocessing time  : 0.000
% 0.64/0.56  #    Propositional encoding time       : 0.000
% 0.64/0.56  #    Propositional solver time         : 0.000
% 0.64/0.56  #    Success case prop preproc time    : 0.000
% 0.64/0.56  #    Success case prop encoding time   : 0.000
% 0.64/0.56  #    Success case prop solver time     : 0.000
% 0.64/0.56  # Current number of processed clauses  : 124
% 0.64/0.56  #    Positive orientable unit clauses  : 29
% 0.64/0.56  #    Positive unorientable unit clauses: 0
% 0.64/0.56  #    Negative unit clauses             : 5
% 0.64/0.56  #    Non-unit-clauses                  : 90
% 0.64/0.56  # Current number of unprocessed clauses: 1357
% 0.64/0.56  # ...number of literals in the above   : 6111
% 0.64/0.56  # Current number of archived formulas  : 0
% 0.64/0.56  # Current number of archived clauses   : 258
% 0.64/0.56  # Clause-clause subsumption calls (NU) : 10230
% 0.64/0.56  # Rec. Clause-clause subsumption calls : 5550
% 0.64/0.56  # Non-unit clause-clause subsumptions  : 198
% 0.64/0.56  # Unit Clause-clause subsumption calls : 785
% 0.64/0.56  # Rewrite failures with RHS unbound    : 0
% 0.64/0.56  # BW rewrite match attempts            : 11
% 0.64/0.56  # BW rewrite match successes           : 9
% 0.64/0.56  # Condensation attempts                : 0
% 0.64/0.56  # Condensation successes               : 0
% 0.64/0.56  # Termbank termtop insertions          : 36659
% 0.64/0.56  # Search garbage collected termcells   : 1536
% 0.64/0.56  
% 0.64/0.56  # -------------------------------------------------
% 0.64/0.56  # User time                : 0.060 s
% 0.64/0.56  # System time              : 0.006 s
% 0.64/0.56  # Total time               : 0.066 s
% 0.64/0.56  # Maximum resident set size: 1912 pages
% 0.64/0.56  
% 0.64/0.56  # -------------------------------------------------
% 0.64/0.56  # User time                : 0.063 s
% 0.64/0.56  # System time              : 0.009 s
% 0.64/0.56  # Total time               : 0.072 s
% 0.64/0.56  # Maximum resident set size: 1828 pages
% 0.64/0.56  % E---3.1 exiting
% 0.64/0.56  % E exiting
%------------------------------------------------------------------------------