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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWC314+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 02:43:54 PM UTC 2026

% Result   : Theorem 0.15s 10.53s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   62 (  14 unt;   0 def)
%            Number of atoms       :  291 ( 130 equ)
%            Maximal formula atoms :   36 (   4 avg)
%            Number of connectives :  370 ( 141   ~; 136   |;  58   &)
%                                         (   3 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   94 (   0 sgn  58   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ( ( nil = X1
                      | nil != X2 )
                    & ! [X9] :
                        ( ssItem(X9)
                       => ! [X10] :
                            ( app(X10,cons(X9,nil)) = X1
                            | app(cons(X9,nil),X10) != X2
                            | ~ ssList(X10) ) ) )
                  | ( neq(X4,nil)
                    & ? [X5] :
                        ( ? [X6] :
                            ( ? [X7] :
                                ( neq(nil,X4)
                                & ? [X8] :
                                    ( neq(nil,X4)
                                    & hd(X4) = X8
                                    & cons(X8,nil) = X7
                                    & ssItem(X8) )
                                & app(X6,X7) = X5
                                & tl(X4) = X6
                                & ssList(X7) )
                            & ssList(X6) )
                        & X3 != X5
                        & ssList(X5) ) )
                  | ( nil = X4
                    & nil != X3 )
                  | X1 != X3
                  | X2 != X4
                  | ~ ssList(X4) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(ax83,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil = app(X1,X2)
          <=> ( nil = X1
              & nil = X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).

fof(ax18,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) != X1 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).

fof(ax16,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ssList(cons(X2,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(ax81,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) = app(cons(X2,nil),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).

fof(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).

fof(ax23,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => hd(cons(X2,X1)) = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).

fof(ax25,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => tl(cons(X2,X1)) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).

fof(ax15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

fof(c_0_10,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ( ( nil = X1
                        | nil != X2 )
                      & ! [X9] :
                          ( ssItem(X9)
                         => ! [X10] :
                              ( app(X10,cons(X9,nil)) = X1
                              | app(cons(X9,nil),X10) != X2
                              | ~ ssList(X10) ) ) )
                    | ( neq(X4,nil)
                      & ? [X5] :
                          ( ? [X6] :
                              ( ? [X7] :
                                  ( neq(nil,X4)
                                  & ? [X8] :
                                      ( neq(nil,X4)
                                      & hd(X4) = X8
                                      & cons(X8,nil) = X7
                                      & ssItem(X8) )
                                  & app(X6,X7) = X5
                                  & tl(X4) = X6
                                  & ssList(X7) )
                              & ssList(X6) )
                          & X3 != X5
                          & ssList(X5) ) )
                    | ( nil = X4
                      & nil != X3 )
                    | X1 != X3
                    | X2 != X4
                    | ~ ssList(X4) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ( ( nil = X1
                        | nil != X2 )
                      & ! [X9] :
                          ( ssItem(X9)
                         => ! [X10] :
                              ( app(X10,cons(X9,nil)) = X1
                              | app(cons(X9,nil),X10) != X2
                              | ~ ssList(X10) ) ) )
                    | ( neq(X4,nil)
                      & ? [X5] :
                          ( ? [X6] :
                              ( ? [X7] :
                                  ( neq(nil,X4)
                                  & ? [X8] :
                                      ( neq(nil,X4)
                                      & hd(X4) = X8
                                      & cons(X8,nil) = X7
                                      & ssItem(X8) )
                                  & app(X6,X7) = X5
                                  & tl(X4) = X6
                                  & ssList(X7) )
                              & ssList(X6) )
                          & X3 != X5
                          & ssList(X5) ) )
                    | ( nil = X4
                      & nil != X3 )
                    | X1 != X3
                    | X2 != X4
                    | ~ ssList(X4) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_12,negated_conjecture,
    ! [X259,X260,X261,X262] :
      ( ( app(esk53_0,cons(esk52_0,nil)) != esk48_0
        | nil != esk48_0 )
      & ( app(esk53_0,cons(esk52_0,nil)) != esk48_0
        | nil = esk49_0 )
      & ( app(cons(esk52_0,nil),esk53_0) = esk49_0
        | nil != esk48_0 )
      & ( app(cons(esk52_0,nil),esk53_0) = esk49_0
        | nil = esk49_0 )
      & ( ssList(esk53_0)
        | nil != esk48_0 )
      & ( ssList(esk53_0)
        | nil = esk49_0 )
      & ( ssItem(esk52_0)
        | nil != esk48_0 )
      & ( ssItem(esk52_0)
        | nil = esk49_0 )
      & ( ~ neq(esk51_0,nil)
        | ~ neq(nil,esk51_0)
        | ~ neq(nil,esk51_0)
        | hd(esk51_0) != X262
        | cons(X262,nil) != X261
        | ~ ssItem(X262)
        | app(X260,X261) != X259
        | tl(esk51_0) != X260
        | ~ ssList(X261)
        | ~ ssList(X260)
        | esk50_0 = X259
        | ~ ssList(X259) )
      & ( nil != esk51_0
        | nil = esk50_0 )
      & esk48_0 = esk50_0
      & esk49_0 = esk51_0
      & ssList(esk51_0)
      & ssList(esk50_0)
      & ssList(esk49_0)
      & ssList(esk48_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_11])])])])])]) ).

fof(c_0_13,plain,
    ! [X229,X230] :
      ( ( ~ ssList(X229)
        | ~ ssList(X230)
        | nil = app(X229,X230)
        | nil != X229
        | nil != X230 )
      & ( ~ ssList(X229)
        | ~ ssList(X230)
        | nil != app(X229,X230)
        | nil = X229 )
      & ( ~ ssList(X229)
        | ~ ssList(X230)
        | nil != app(X229,X230)
        | nil = X230 ) ),
    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_14,negated_conjecture,
    ( nil != esk51_0
    | nil = esk50_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_17,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) != X1 ) ),
    inference(fof_simplification,[status(thm)],[ax18]) ).

cnf(c_0_18,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | nil != app(X1,X2)
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    ( nil != esk48_0
    | app(cons(esk52_0,nil),esk53_0) = esk49_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_20,negated_conjecture,
    ( nil != esk48_0
    | ssList(esk53_0) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_21,negated_conjecture,
    ( esk49_0 != nil
    | esk48_0 = nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

fof(c_0_22,plain,
    ! [X115,X116] :
      ( ssList(cons(X116,X115))
      | ~ ssItem(X116)
      | ~ ssList(X115) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])]) ).

fof(c_0_23,plain,
    ! [X117,X118] :
      ( cons(X118,X117) != X117
      | ~ ssItem(X118)
      | ~ ssList(X117) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ ssList(cons(esk52_0,nil))
    | esk49_0 != nil
    | cons(esk52_0,nil) = nil ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]) ).

cnf(c_0_25,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | ssList(cons(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_26,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_27,plain,
    ( cons(X2,X1) != X1
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ ssItem(esk52_0)
    | esk49_0 != nil
    | cons(esk52_0,nil) = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ ssItem(esk52_0)
    | esk49_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_26])]) ).

cnf(c_0_30,negated_conjecture,
    ( nil != esk48_0
    | ssItem(esk52_0) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_31,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk49_0
    | nil = esk49_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_32,negated_conjecture,
    esk49_0 != nil,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_21]) ).

fof(c_0_33,plain,
    ! [X224,X225] :
      ( cons(X225,X224) = app(cons(X225,nil),X224)
      | ~ ssItem(X225)
      | ~ ssList(X224) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])]) ).

cnf(c_0_34,negated_conjecture,
    ( ssList(esk53_0)
    | nil = esk49_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_35,negated_conjecture,
    ( ssItem(esk52_0)
    | nil = esk49_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ neq(esk51_0,nil)
    | ~ neq(nil,esk51_0)
    | ~ neq(nil,esk51_0)
    | hd(esk51_0) != X4
    | cons(X4,nil) != X3
    | ~ ssItem(X4)
    | app(X2,X3) != X1
    | tl(esk51_0) != X2
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | esk50_0 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_37,plain,
    ! [X134,X135] :
      ( ssList(app(X134,X135))
      | ~ ssList(X135)
      | ~ ssList(X134) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])]) ).

fof(c_0_38,plain,
    ! [X129,X130] :
      ( hd(cons(X130,X129)) = X130
      | ~ ssItem(X130)
      | ~ ssList(X129) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])])]) ).

cnf(c_0_39,negated_conjecture,
    app(cons(esk52_0,nil),esk53_0) = esk49_0,
    inference(sr,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_40,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | cons(X2,X1) = app(cons(X2,nil),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_41,negated_conjecture,
    ssList(esk53_0),
    inference(sr,[status(thm)],[c_0_34,c_0_32]) ).

cnf(c_0_42,negated_conjecture,
    ssItem(esk52_0),
    inference(sr,[status(thm)],[c_0_35,c_0_32]) ).

fof(c_0_43,plain,
    ! [X132,X133] :
      ( tl(cons(X133,X132)) = X132
      | ~ ssItem(X133)
      | ~ ssList(X132) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])])]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ neq(esk51_0,nil)
    | ~ neq(nil,esk51_0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X4)
    | cons(X4,nil) != X3
    | app(X2,X3) != X1
    | tl(esk51_0) != X2
    | hd(esk51_0) != X4
    | esk50_0 = X1 ),
    inference(cn,[status(thm)],[c_0_36]) ).

cnf(c_0_45,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_46,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | hd(cons(X2,X1)) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_47,negated_conjecture,
    cons(esk52_0,esk53_0) = esk49_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42])]) ).

cnf(c_0_48,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | tl(cons(X2,X1)) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_49,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    inference(fof_simplification,[status(thm)],[ax15]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ ssItem(hd(esk49_0))
    | ~ neq(esk49_0,nil)
    | ~ neq(nil,esk49_0)
    | ~ ssList(tl(esk49_0))
    | ~ ssList(cons(hd(esk49_0),nil))
    | app(tl(esk49_0),cons(hd(esk49_0),nil)) = esk48_0 ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_15]),c_0_16]),c_0_16]),c_0_16]),c_0_16])])])])]),c_0_45]) ).

cnf(c_0_51,negated_conjecture,
    hd(esk49_0) = esk52_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_41]),c_0_42])]) ).

cnf(c_0_52,negated_conjecture,
    tl(esk49_0) = esk53_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_47]),c_0_41]),c_0_42])]) ).

fof(c_0_53,plain,
    ! [X113,X114] :
      ( ( ~ ssList(X113)
        | ~ ssList(X114)
        | neq(X113,X114)
        | X113 = X114 )
      & ( ~ ssList(X113)
        | ~ ssList(X114)
        | X113 != X114
        | ~ neq(X113,X114) ) ),
    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_49])])])])]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ neq(esk49_0,nil)
    | ~ neq(nil,esk49_0)
    | ~ ssList(cons(esk52_0,nil))
    | app(esk53_0,cons(esk52_0,nil)) = esk48_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51]),c_0_51]),c_0_51]),c_0_42])]),c_0_52]),c_0_52]),c_0_41])]) ).

cnf(c_0_55,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | neq(X1,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_56,negated_conjecture,
    ssList(esk49_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ neq(nil,esk49_0)
    | ~ ssList(cons(esk52_0,nil))
    | app(esk53_0,cons(esk52_0,nil)) = esk48_0 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_26]),c_0_56])]),c_0_32]) ).

cnf(c_0_58,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) != esk48_0
    | nil = esk49_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ ssList(cons(esk52_0,nil))
    | app(esk53_0,cons(esk52_0,nil)) = esk48_0 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_55]),c_0_56]),c_0_26])]),c_0_32]) ).

cnf(c_0_60,negated_conjecture,
    ~ ssList(cons(esk52_0,nil)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_32]) ).

cnf(c_0_61,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_25]),c_0_26]),c_0_42])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC314+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/10.39  % Computer : n016.cluster.edu
% 0.11/10.39  % Model    : x86_64 x86_64
% 0.11/10.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39  % Memory   : 8046.5625MB
% 0.11/10.39  % OS       : Linux 6.8.0-71-generic
% 0.11/10.39  % CPULimit : 300
% 0.11/10.39  % WCLimit  : 300
% 0.11/10.39  % DateTime : Mon Sep 21 08:19:19 UTC 2026
% 0.11/10.39  % CPUTime  : 
% 0.11/10.39  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/10.44  Running first-order theorem proving
% 0.15/10.44  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.15/10.53  % Version: 3.5.1
% 0.15/10.53  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/10.53  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.53  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/10.53  % Starting new_bool_3 with 300s (1) cores
% 0.15/10.53  % Starting new_bool_1 with 300s (1) cores
% 0.15/10.53  % Starting sh5l with 300s (1) cores
% 0.15/10.53  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1992677 completed with status 0
% 0.15/10.53  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.15/10.53  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/10.53  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.53  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/10.53  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/10.53  % No SInE strategy applied
% 0.15/10.53  % Search class: FGHSF-FSLM21-MFFFFFNN
% 0.15/10.53  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/10.53  % Starting SubtermCWHack with 136s (1) cores
% 0.15/10.53  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.15/10.53  % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 136s (1) cores
% 0.15/10.53  % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 0.15/10.53  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 0.15/10.53  % G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with pid 1992688 completed with status 0
% 0.15/10.53  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y
% 0.15/10.53  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/10.53  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.53  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/10.53  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/10.53  % No SInE strategy applied
% 0.15/10.53  % Search class: FGHSF-FSLM21-MFFFFFNN
% 0.15/10.53  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/10.53  % Starting SubtermCWHack with 136s (1) cores
% 0.15/10.53  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.15/10.53  % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 136s (1) cores
% 0.15/10.53  % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 0.15/10.53  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 0.15/10.53  % Preprocessing time       : 0.004 s
% 0.15/10.53  % Presaturation interreduction done
% 0.15/10.53  
% 0.15/10.53  % Proof found!
% 0.15/10.53  % SZS status Theorem
% 0.15/10.53  % SZS output start CNFRefutation
% See solution above
% 0.15/10.53  % Parsed axioms                        : 96
% 0.15/10.53  % Removed by relevancy pruning/SinE    : 0
% 0.15/10.54  % Initial clauses                      : 206
% 0.15/10.54  % Removed in clause preprocessing      : 2
% 0.15/10.54  % Initial clauses in saturation        : 204
% 0.15/10.54  % Processed clauses                    : 532
% 0.15/10.54  % ...of these trivial                  : 3
% 0.15/10.54  % ...subsumed                          : 45
% 0.15/10.54  % ...remaining for further processing  : 484
% 0.15/10.54  % Other redundant clauses eliminated   : 75
% 0.15/10.54  % Clauses deleted for lack of memory   : 0
% 0.15/10.54  % Backward-subsumed                    : 46
% 0.15/10.54  % Backward-rewritten                   : 7
% 0.15/10.54  % Generated clauses                    : 1143
% 0.15/10.54  % ...of the previous two non-redundant : 944
% 0.15/10.54  % ...aggressively subsumed             : 0
% 0.15/10.54  % Contextual simplify-reflections      : 10
% 0.15/10.54  % Paramodulations                      : 1065
% 0.15/10.54  % Factorizations                       : 0
% 0.15/10.54  % NegExts                              : 0
% 0.15/10.54  % Equation resolutions                 : 80
% 0.15/10.54  % Disequality decompositions           : 0
% 0.15/10.54  % Total rewrite steps                  : 731
% 0.15/10.54  % ...of those cached                   : 708
% 0.15/10.54  % Propositional unsat checks           : 0
% 0.15/10.54  %    Propositional check models        : 0
% 0.15/10.54  %    Propositional check unsatisfiable : 0
% 0.15/10.54  %    Propositional clauses             : 0
% 0.15/10.54  %    Propositional clauses after purity: 0
% 0.15/10.54  %    Propositional unsat core size     : 0
% 0.15/10.54  %    Propositional preprocessing time  : 0.000
% 0.15/10.54  %    Propositional encoding time       : 0.000
% 0.15/10.54  %    Propositional solver time         : 0.000
% 0.15/10.54  %    Success case prop preproc time    : 0.000
% 0.15/10.54  %    Success case prop encoding time   : 0.000
% 0.15/10.54  %    Success case prop solver time     : 0.000
% 0.15/10.54  % Current number of processed clauses  : 206
% 0.15/10.54  %    Positive orientable unit clauses  : 28
% 0.15/10.54  %    Positive unorientable unit clauses: 0
% 0.15/10.54  %    Negative unit clauses             : 6
% 0.15/10.54  %    Non-unit-clauses                  : 172
% 0.15/10.54  % Current number of unprocessed clauses: 789
% 0.15/10.54  % ...number of literals in the above   : 5186
% 0.15/10.54  % Current number of archived formulas  : 0
% 0.15/10.54  % Current number of archived clauses   : 254
% 0.15/10.54  % Clause-clause subsumption calls (NU) : 20815
% 0.15/10.54  % Rec. Clause-clause subsumption calls : 4661
% 0.15/10.54  % Non-unit clause-clause subsumptions  : 51
% 0.15/10.54  % Unit Clause-clause subsumption calls : 276
% 0.15/10.54  % Rewrite failures with RHS unbound    : 0
% 0.15/10.54  % BW rewrite match attempts            : 5
% 0.15/10.54  % BW rewrite match successes           : 5
% 0.15/10.54  % Condensation attempts                : 0
% 0.15/10.54  % Condensation successes               : 0
% 0.15/10.54  % Termbank termtop insertions          : 41405
% 0.15/10.54  % Search garbage collected termcells   : 4428
% 0.15/10.54  
% 0.15/10.54  % -------------------------------------------------
% 0.15/10.54  % User time                : 0.071 s
% 0.15/10.54  % System time              : 0.006 s
% 0.15/10.54  % Total time               : 0.077 s
% 0.15/10.54  % Maximum resident set size: 4276 pages
% 0.15/10.54  
% 0.15/10.54  % -------------------------------------------------
% 0.15/10.54  % User time                : 0.308 s
% 0.15/10.54  % System time              : 0.031 s
% 0.15/10.54  % Total time               : 0.340 s
% 0.15/10.54  % Maximum resident set size: 4608 pages
% 0.15/10.54  % E exiting
%------------------------------------------------------------------------------