TSTP Solution File: SWC315+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWC315+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n006.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 : Thu Aug 31 20:21:36 EDT 2023

% Result   : Theorem 0.55s 0.64s
% Output   : CNFRefutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   86
% Syntax   : Number of formulae    :  142 (  13 unt;  79 typ;   0 def)
%            Number of atoms       :  199 ( 109 equ)
%            Maximal formula atoms :   32 (   3 avg)
%            Number of connectives :  209 (  73   ~;  90   |;  25   &)
%                                         (   1 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   85 (  68   >;  17   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-2 aty)
%            Number of functors    :   60 (  60 usr;  11 con; 0-2 aty)
%            Number of variables   :   46 (   0 sgn;  36   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    ssItem: $i > $o ).

tff(decl_23,type,
    neq: ( $i * $i ) > $o ).

tff(decl_24,type,
    ssList: $i > $o ).

tff(decl_25,type,
    memberP: ( $i * $i ) > $o ).

tff(decl_26,type,
    cons: ( $i * $i ) > $i ).

tff(decl_27,type,
    app: ( $i * $i ) > $i ).

tff(decl_28,type,
    singletonP: $i > $o ).

tff(decl_29,type,
    nil: $i ).

tff(decl_30,type,
    frontsegP: ( $i * $i ) > $o ).

tff(decl_31,type,
    rearsegP: ( $i * $i ) > $o ).

tff(decl_32,type,
    segmentP: ( $i * $i ) > $o ).

tff(decl_33,type,
    cyclefreeP: $i > $o ).

tff(decl_34,type,
    leq: ( $i * $i ) > $o ).

tff(decl_35,type,
    totalorderP: $i > $o ).

tff(decl_36,type,
    strictorderP: $i > $o ).

tff(decl_37,type,
    lt: ( $i * $i ) > $o ).

tff(decl_38,type,
    totalorderedP: $i > $o ).

tff(decl_39,type,
    strictorderedP: $i > $o ).

tff(decl_40,type,
    duplicatefreeP: $i > $o ).

tff(decl_41,type,
    equalelemsP: $i > $o ).

tff(decl_42,type,
    hd: $i > $i ).

tff(decl_43,type,
    tl: $i > $i ).

tff(decl_44,type,
    geq: ( $i * $i ) > $o ).

tff(decl_45,type,
    gt: ( $i * $i ) > $o ).

tff(decl_46,type,
    esk1_0: $i ).

tff(decl_47,type,
    esk2_0: $i ).

tff(decl_48,type,
    esk3_2: ( $i * $i ) > $i ).

tff(decl_49,type,
    esk4_2: ( $i * $i ) > $i ).

tff(decl_50,type,
    esk5_1: $i > $i ).

tff(decl_51,type,
    esk6_2: ( $i * $i ) > $i ).

tff(decl_52,type,
    esk7_2: ( $i * $i ) > $i ).

tff(decl_53,type,
    esk8_2: ( $i * $i ) > $i ).

tff(decl_54,type,
    esk9_2: ( $i * $i ) > $i ).

tff(decl_55,type,
    esk10_1: $i > $i ).

tff(decl_56,type,
    esk11_1: $i > $i ).

tff(decl_57,type,
    esk12_1: $i > $i ).

tff(decl_58,type,
    esk13_1: $i > $i ).

tff(decl_59,type,
    esk14_1: $i > $i ).

tff(decl_60,type,
    esk15_1: $i > $i ).

tff(decl_61,type,
    esk16_1: $i > $i ).

tff(decl_62,type,
    esk17_1: $i > $i ).

tff(decl_63,type,
    esk18_1: $i > $i ).

tff(decl_64,type,
    esk19_1: $i > $i ).

tff(decl_65,type,
    esk20_1: $i > $i ).

tff(decl_66,type,
    esk21_1: $i > $i ).

tff(decl_67,type,
    esk22_1: $i > $i ).

tff(decl_68,type,
    esk23_1: $i > $i ).

tff(decl_69,type,
    esk24_1: $i > $i ).

tff(decl_70,type,
    esk25_1: $i > $i ).

tff(decl_71,type,
    esk26_1: $i > $i ).

tff(decl_72,type,
    esk27_1: $i > $i ).

tff(decl_73,type,
    esk28_1: $i > $i ).

tff(decl_74,type,
    esk29_1: $i > $i ).

tff(decl_75,type,
    esk30_1: $i > $i ).

tff(decl_76,type,
    esk31_1: $i > $i ).

tff(decl_77,type,
    esk32_1: $i > $i ).

tff(decl_78,type,
    esk33_1: $i > $i ).

tff(decl_79,type,
    esk34_1: $i > $i ).

tff(decl_80,type,
    esk35_1: $i > $i ).

tff(decl_81,type,
    esk36_1: $i > $i ).

tff(decl_82,type,
    esk37_1: $i > $i ).

tff(decl_83,type,
    esk38_1: $i > $i ).

tff(decl_84,type,
    esk39_1: $i > $i ).

tff(decl_85,type,
    esk40_1: $i > $i ).

tff(decl_86,type,
    esk41_1: $i > $i ).

tff(decl_87,type,
    esk42_1: $i > $i ).

tff(decl_88,type,
    esk43_1: $i > $i ).

tff(decl_89,type,
    esk44_1: $i > $i ).

tff(decl_90,type,
    esk45_1: $i > $i ).

tff(decl_91,type,
    esk46_1: $i > $i ).

tff(decl_92,type,
    esk47_1: $i > $i ).

tff(decl_93,type,
    esk48_0: $i ).

tff(decl_94,type,
    esk49_0: $i ).

tff(decl_95,type,
    esk50_0: $i ).

tff(decl_96,type,
    esk51_0: $i ).

tff(decl_97,type,
    esk52_0: $i ).

tff(decl_98,type,
    esk53_0: $i ).

tff(decl_99,type,
    esk54_0: $i ).

tff(decl_100,type,
    esk55_0: $i ).

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

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(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(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(ax21,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => nil != cons(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax21) ).

fof(c_0_7,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ~ ssList(X4)
                    | X2 != X4
                    | X1 != X3
                    | ( nil != X3
                      & nil = X4 )
                    | ( ! [X5] :
                          ( ssItem(X5)
                         => ! [X6] :
                              ( ~ ssList(X6)
                              | app(cons(X5,nil),X6) != X2
                              | app(X6,cons(X5,nil)) = X1 ) )
                      & ( nil != X2
                        | nil = X1 ) )
                    | ( ! [X7] :
                          ( ssItem(X7)
                         => ! [X8] :
                              ( ~ ssList(X8)
                              | app(cons(X7,nil),X8) != X4
                              | app(X8,cons(X7,nil)) != X3 ) )
                      & neq(X4,nil) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_8,negated_conjecture,
    ( ssList(esk48_0)
    & ssList(esk49_0)
    & ssList(esk50_0)
    & ssList(esk51_0)
    & esk49_0 = esk51_0
    & esk48_0 = esk50_0
    & ( nil = esk50_0
      | nil != esk51_0 )
    & ( nil = esk49_0
      | ssItem(esk52_0) )
    & ( nil != esk48_0
      | ssItem(esk52_0) )
    & ( nil = esk49_0
      | ssList(esk53_0) )
    & ( nil != esk48_0
      | ssList(esk53_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
      | app(esk53_0,cons(esk52_0,nil)) != esk48_0 )
    & ( nil != esk48_0
      | app(esk53_0,cons(esk52_0,nil)) != esk48_0 )
    & ( ssItem(esk54_0)
      | ~ neq(esk51_0,nil) )
    & ( ssList(esk55_0)
      | ~ neq(esk51_0,nil) )
    & ( app(cons(esk54_0,nil),esk55_0) = esk51_0
      | ~ neq(esk51_0,nil) )
    & ( app(esk55_0,cons(esk54_0,nil)) = esk50_0
      | ~ neq(esk51_0,nil) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).

fof(c_0_9,plain,
    ! [X111,X112] :
      ( ( ~ neq(X111,X112)
        | X111 != X112
        | ~ ssList(X112)
        | ~ ssList(X111) )
      & ( X111 = X112
        | neq(X111,X112)
        | ~ ssList(X112)
        | ~ ssList(X111) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).

cnf(c_0_10,negated_conjecture,
    ssList(esk49_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    ( app(cons(esk54_0,nil),esk55_0) = esk51_0
    | ~ neq(esk51_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_15,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_10,c_0_11]) ).

fof(c_0_16,plain,
    ! [X222,X223] :
      ( ~ ssList(X222)
      | ~ ssItem(X223)
      | cons(X223,X222) = app(cons(X223,nil),X222) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).

cnf(c_0_17,negated_conjecture,
    ( ssItem(esk54_0)
    | ~ neq(esk51_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_18,negated_conjecture,
    ( ssList(esk55_0)
    | ~ neq(esk51_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_19,negated_conjecture,
    ( nil = esk49_0
    | app(cons(esk52_0,nil),esk53_0) = esk49_0 ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_20,negated_conjecture,
    ( nil = esk49_0
    | ssItem(esk52_0) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_21,negated_conjecture,
    ( nil = esk49_0
    | ssList(esk53_0) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_22,plain,
    ! [X127,X128] :
      ( ~ ssList(X127)
      | ~ ssItem(X128)
      | hd(cons(X128,X127)) = X128 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).

cnf(c_0_23,negated_conjecture,
    ( app(cons(esk54_0,nil),esk55_0) = esk51_0
    | esk51_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15])]) ).

cnf(c_0_24,plain,
    ( cons(X2,X1) = app(cons(X2,nil),X1)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_25,negated_conjecture,
    ( esk51_0 = nil
    | ssItem(esk54_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_14]),c_0_15])]) ).

cnf(c_0_26,negated_conjecture,
    ( esk51_0 = nil
    | ssList(esk55_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_13]),c_0_14]),c_0_15])]) ).

cnf(c_0_27,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk51_0
    | esk51_0 = nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_11]),c_0_11]) ).

cnf(c_0_28,negated_conjecture,
    ( esk51_0 = nil
    | ssItem(esk52_0) ),
    inference(rw,[status(thm)],[c_0_20,c_0_11]) ).

cnf(c_0_29,negated_conjecture,
    ( esk51_0 = nil
    | ssList(esk53_0) ),
    inference(rw,[status(thm)],[c_0_21,c_0_11]) ).

cnf(c_0_30,negated_conjecture,
    ( app(esk55_0,cons(esk54_0,nil)) = esk50_0
    | ~ neq(esk51_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_31,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_32,plain,
    ( hd(cons(X2,X1)) = X2
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_33,negated_conjecture,
    ( cons(esk54_0,esk55_0) = esk51_0
    | esk51_0 = nil ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]) ).

cnf(c_0_34,negated_conjecture,
    ( cons(esk52_0,esk53_0) = esk51_0
    | esk51_0 = nil ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_24]),c_0_28]),c_0_29]) ).

fof(c_0_35,plain,
    ! [X130,X131] :
      ( ~ ssList(X130)
      | ~ ssItem(X131)
      | tl(cons(X131,X130)) = X130 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])]) ).

cnf(c_0_36,negated_conjecture,
    ( app(esk55_0,cons(esk54_0,nil)) = esk48_0
    | ~ neq(esk51_0,nil) ),
    inference(rw,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_37,negated_conjecture,
    ( hd(esk51_0) = esk54_0
    | esk51_0 = nil ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_25]),c_0_26]) ).

cnf(c_0_38,negated_conjecture,
    ( hd(esk51_0) = esk52_0
    | esk51_0 = nil ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_34]),c_0_28]),c_0_29]) ).

cnf(c_0_39,plain,
    ( tl(cons(X2,X1)) = X1
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_40,negated_conjecture,
    ( app(esk55_0,cons(esk54_0,nil)) = esk48_0
    | esk51_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_13]),c_0_14]),c_0_15])]) ).

cnf(c_0_41,negated_conjecture,
    ( esk51_0 = nil
    | esk54_0 = esk52_0 ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,negated_conjecture,
    ( tl(esk51_0) = esk55_0
    | esk51_0 = nil ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_33]),c_0_25]),c_0_26]) ).

cnf(c_0_43,negated_conjecture,
    ( tl(esk51_0) = esk53_0
    | esk51_0 = nil ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_34]),c_0_28]),c_0_29]) ).

cnf(c_0_44,negated_conjecture,
    ( nil = esk49_0
    | app(esk53_0,cons(esk52_0,nil)) != esk48_0 ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_45,negated_conjecture,
    ( nil = esk50_0
    | nil != esk51_0 ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_46,negated_conjecture,
    ( app(esk55_0,cons(esk52_0,nil)) = esk48_0
    | esk51_0 = nil ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_47,negated_conjecture,
    ( esk51_0 = nil
    | esk55_0 = esk53_0 ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_48,negated_conjecture,
    ( esk51_0 = nil
    | app(esk53_0,cons(esk52_0,nil)) != esk48_0 ),
    inference(rw,[status(thm)],[c_0_44,c_0_11]) ).

cnf(c_0_49,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk49_0
    | nil != esk48_0 ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_50,negated_conjecture,
    ( esk48_0 = nil
    | esk51_0 != nil ),
    inference(rw,[status(thm)],[c_0_45,c_0_31]) ).

cnf(c_0_51,negated_conjecture,
    esk51_0 = nil,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).

cnf(c_0_52,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk51_0
    | esk48_0 != nil ),
    inference(rw,[status(thm)],[c_0_49,c_0_11]) ).

cnf(c_0_53,negated_conjecture,
    esk48_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]) ).

cnf(c_0_54,negated_conjecture,
    ( ssList(esk53_0)
    | nil != esk48_0 ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_55,negated_conjecture,
    ( ssItem(esk52_0)
    | nil != esk48_0 ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_56,plain,
    ! [X124,X125] :
      ( ~ ssList(X124)
      | ~ ssItem(X125)
      | nil != cons(X125,X124) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).

cnf(c_0_57,negated_conjecture,
    app(cons(esk52_0,nil),esk53_0) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_51]),c_0_53])]) ).

cnf(c_0_58,negated_conjecture,
    ssList(esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_53])]) ).

cnf(c_0_59,negated_conjecture,
    ssItem(esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_53])]) ).

cnf(c_0_60,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X2)
    | nil != cons(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_61,negated_conjecture,
    cons(esk52_0,esk53_0) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_57]),c_0_58]),c_0_59])]) ).

cnf(c_0_62,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_58]),c_0_59])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC315+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n006.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   : Mon Aug 28 17:31:36 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.22/0.58  start to proof: theBenchmark
% 0.55/0.64  % Version  : CSE_E---1.5
% 0.55/0.64  % Problem  : theBenchmark.p
% 0.55/0.64  % Proof found
% 0.55/0.64  % SZS status Theorem for theBenchmark.p
% 0.55/0.64  % SZS output start Proof
% See solution above
% 0.55/0.64  % Total time : 0.048000 s
% 0.55/0.64  % SZS output end Proof
% 0.55/0.64  % Total time : 0.054000 s
%------------------------------------------------------------------------------