TSTP Solution File: SWC002+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWC002+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% 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 : Thu Aug 31 20:18:58 EDT 2023

% Result   : Theorem 0.83s 0.92s
% Output   : CNFRefutation 0.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   80
% Syntax   : Number of formulae    :  116 (  13 unt;  79 typ;   0 def)
%            Number of atoms       :  255 (  77 equ)
%            Maximal formula atoms :   96 (   6 avg)
%            Number of connectives :  370 ( 152   ~; 157   |;  45   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   37 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   88 (  69   >;  19   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-2 aty)
%            Number of functors    :   60 (  60 usr;  10 con; 0-3 aty)
%            Number of variables   :   61 (   0 sgn;  20   !;   8   ?;   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_3: ( $i * $i * $i ) > $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
                    | ( ( ~ neq(X2,nil)
                        | ? [X5] :
                            ( ssItem(X5)
                            & ? [X6] :
                                ( ssList(X6)
                                & ? [X7] :
                                    ( ssList(X7)
                                    & app(app(X6,cons(X5,nil)),X7) = X2
                                    & app(X6,X7) = X1
                                    & ! [X8] :
                                        ( ssItem(X8)
                                       => ( ~ memberP(X2,X8)
                                          | ~ geq(X8,X5)
                                          | X5 = X8 ) ) ) ) )
                        | ! [X9] :
                            ( ssItem(X9)
                           => ! [X10] :
                                ( ssList(X10)
                               => ! [X11] :
                                    ( ssList(X11)
                                   => ( app(app(X10,cons(X9,nil)),X11) != X4
                                      | app(X10,X11) != X3
                                      | ? [X12] :
                                          ( ssItem(X12)
                                          & X9 != X12
                                          & memberP(X4,X12)
                                          & geq(X12,X9) ) ) ) ) ) )
                      & ( ~ neq(X2,nil)
                        | neq(X4,nil) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(c_0_1,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ( ( ~ neq(X2,nil)
                          | ? [X5] :
                              ( ssItem(X5)
                              & ? [X6] :
                                  ( ssList(X6)
                                  & ? [X7] :
                                      ( ssList(X7)
                                      & app(app(X6,cons(X5,nil)),X7) = X2
                                      & app(X6,X7) = X1
                                      & ! [X8] :
                                          ( ssItem(X8)
                                         => ( ~ memberP(X2,X8)
                                            | ~ geq(X8,X5)
                                            | X5 = X8 ) ) ) ) )
                          | ! [X9] :
                              ( ssItem(X9)
                             => ! [X10] :
                                  ( ssList(X10)
                                 => ! [X11] :
                                      ( ssList(X11)
                                     => ( app(app(X10,cons(X9,nil)),X11) != X4
                                        | app(X10,X11) != X3
                                        | ? [X12] :
                                            ( ssItem(X12)
                                            & X9 != X12
                                            & memberP(X4,X12)
                                            & geq(X12,X9) ) ) ) ) ) )
                        & ( ~ neq(X2,nil)
                          | neq(X4,nil) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_2,negated_conjecture,
    ! [X261,X262,X263,X268] :
      ( ssList(esk48_0)
      & ssList(esk49_0)
      & ssList(esk50_0)
      & ssList(esk51_0)
      & esk49_0 = esk51_0
      & esk48_0 = esk50_0
      & ( neq(esk49_0,nil)
        | neq(esk49_0,nil) )
      & ( ~ neq(esk51_0,nil)
        | neq(esk49_0,nil) )
      & ( neq(esk49_0,nil)
        | ssItem(esk52_3(X261,X262,X263))
        | ~ ssList(X263)
        | app(app(X262,cons(X261,nil)),X263) != esk49_0
        | app(X262,X263) != esk48_0
        | ~ ssList(X262)
        | ~ ssItem(X261) )
      & ( ~ neq(esk51_0,nil)
        | ssItem(esk52_3(X261,X262,X263))
        | ~ ssList(X263)
        | app(app(X262,cons(X261,nil)),X263) != esk49_0
        | app(X262,X263) != esk48_0
        | ~ ssList(X262)
        | ~ ssItem(X261) )
      & ( neq(esk49_0,nil)
        | memberP(esk49_0,esk52_3(X261,X262,X263))
        | ~ ssList(X263)
        | app(app(X262,cons(X261,nil)),X263) != esk49_0
        | app(X262,X263) != esk48_0
        | ~ ssList(X262)
        | ~ ssItem(X261) )
      & ( ~ neq(esk51_0,nil)
        | memberP(esk49_0,esk52_3(X261,X262,X263))
        | ~ ssList(X263)
        | app(app(X262,cons(X261,nil)),X263) != esk49_0
        | app(X262,X263) != esk48_0
        | ~ ssList(X262)
        | ~ ssItem(X261) )
      & ( neq(esk49_0,nil)
        | geq(esk52_3(X261,X262,X263),X261)
        | ~ ssList(X263)
        | app(app(X262,cons(X261,nil)),X263) != esk49_0
        | app(X262,X263) != esk48_0
        | ~ ssList(X262)
        | ~ ssItem(X261) )
      & ( ~ neq(esk51_0,nil)
        | geq(esk52_3(X261,X262,X263),X261)
        | ~ ssList(X263)
        | app(app(X262,cons(X261,nil)),X263) != esk49_0
        | app(X262,X263) != esk48_0
        | ~ ssList(X262)
        | ~ ssItem(X261) )
      & ( neq(esk49_0,nil)
        | X261 != esk52_3(X261,X262,X263)
        | ~ ssList(X263)
        | app(app(X262,cons(X261,nil)),X263) != esk49_0
        | app(X262,X263) != esk48_0
        | ~ ssList(X262)
        | ~ ssItem(X261) )
      & ( ~ neq(esk51_0,nil)
        | X261 != esk52_3(X261,X262,X263)
        | ~ ssList(X263)
        | app(app(X262,cons(X261,nil)),X263) != esk49_0
        | app(X262,X263) != esk48_0
        | ~ ssList(X262)
        | ~ ssItem(X261) )
      & ( neq(esk49_0,nil)
        | ssItem(esk53_0) )
      & ( ~ neq(esk51_0,nil)
        | ssItem(esk53_0) )
      & ( neq(esk49_0,nil)
        | ssList(esk54_0) )
      & ( ~ neq(esk51_0,nil)
        | ssList(esk54_0) )
      & ( neq(esk49_0,nil)
        | ssList(esk55_0) )
      & ( ~ neq(esk51_0,nil)
        | ssList(esk55_0) )
      & ( neq(esk49_0,nil)
        | app(app(esk54_0,cons(esk53_0,nil)),esk55_0) = esk51_0 )
      & ( ~ neq(esk51_0,nil)
        | app(app(esk54_0,cons(esk53_0,nil)),esk55_0) = esk51_0 )
      & ( neq(esk49_0,nil)
        | app(esk54_0,esk55_0) = esk50_0 )
      & ( ~ neq(esk51_0,nil)
        | app(esk54_0,esk55_0) = esk50_0 )
      & ( neq(esk49_0,nil)
        | ~ ssItem(X268)
        | esk53_0 = X268
        | ~ memberP(esk51_0,X268)
        | ~ geq(X268,esk53_0) )
      & ( ~ neq(esk51_0,nil)
        | ~ ssItem(X268)
        | esk53_0 = X268
        | ~ memberP(esk51_0,X268)
        | ~ geq(X268,esk53_0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( neq(esk49_0,nil)
    | neq(esk49_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( geq(esk52_3(X1,X2,X3),X1)
    | ~ neq(esk51_0,nil)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != esk49_0
    | app(X2,X3) != esk48_0
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    neq(esk49_0,nil),
    inference(cn,[status(thm)],[c_0_3]) ).

cnf(c_0_7,negated_conjecture,
    ( app(esk54_0,esk55_0) = esk50_0
    | ~ neq(esk51_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9,negated_conjecture,
    ( ssList(esk55_0)
    | ~ neq(esk51_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,negated_conjecture,
    ( ssList(esk54_0)
    | ~ neq(esk51_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11,negated_conjecture,
    ( memberP(esk49_0,esk52_3(X1,X2,X3))
    | ~ neq(esk51_0,nil)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != esk49_0
    | app(X2,X3) != esk48_0
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12,negated_conjecture,
    ( ssItem(esk52_3(X1,X2,X3))
    | ~ neq(esk51_0,nil)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != esk49_0
    | app(X2,X3) != esk48_0
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ neq(esk51_0,nil)
    | X1 != esk52_3(X1,X2,X3)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != esk49_0
    | app(X2,X3) != esk48_0
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_14,negated_conjecture,
    ( geq(esk52_3(X1,X2,X3),X1)
    | app(app(X2,cons(X1,nil)),X3) != esk49_0
    | app(X2,X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_6])]) ).

cnf(c_0_15,negated_conjecture,
    app(esk54_0,esk55_0) = esk48_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_5]),c_0_6])]) ).

cnf(c_0_16,negated_conjecture,
    ssList(esk55_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_5]),c_0_6])]) ).

cnf(c_0_17,negated_conjecture,
    ssList(esk54_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_5]),c_0_6])]) ).

cnf(c_0_18,negated_conjecture,
    ( app(app(esk54_0,cons(esk53_0,nil)),esk55_0) = esk51_0
    | ~ neq(esk51_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_19,negated_conjecture,
    ( ssItem(esk53_0)
    | ~ neq(esk51_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_20,negated_conjecture,
    ( memberP(esk49_0,esk52_3(X1,X2,X3))
    | app(app(X2,cons(X1,nil)),X3) != esk49_0
    | app(X2,X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_5]),c_0_6])]) ).

cnf(c_0_21,negated_conjecture,
    ( ssItem(esk52_3(X1,X2,X3))
    | app(app(X2,cons(X1,nil)),X3) != esk49_0
    | app(X2,X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_5]),c_0_6])]) ).

cnf(c_0_22,negated_conjecture,
    ( app(app(X1,cons(X2,nil)),X3) != esk49_0
    | esk52_3(X2,X1,X3) != X2
    | app(X1,X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ neq(esk49_0,nil)
    | ~ ssItem(X2) ),
    inference(rw,[status(thm)],[c_0_13,c_0_5]) ).

cnf(c_0_23,negated_conjecture,
    ( esk53_0 = X1
    | ~ neq(esk51_0,nil)
    | ~ ssItem(X1)
    | ~ memberP(esk51_0,X1)
    | ~ geq(X1,esk53_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_24,negated_conjecture,
    ( geq(esk52_3(X1,esk54_0,esk55_0),X1)
    | app(app(esk54_0,cons(X1,nil)),esk55_0) != esk49_0
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]) ).

cnf(c_0_25,negated_conjecture,
    app(app(esk54_0,cons(esk53_0,nil)),esk55_0) = esk49_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_5]),c_0_5]),c_0_6])]) ).

cnf(c_0_26,negated_conjecture,
    ssItem(esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_5]),c_0_6])]) ).

cnf(c_0_27,negated_conjecture,
    ( memberP(esk49_0,esk52_3(X1,esk54_0,esk55_0))
    | app(app(esk54_0,cons(X1,nil)),esk55_0) != esk49_0
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_15]),c_0_16]),c_0_17])]) ).

cnf(c_0_28,negated_conjecture,
    ( ssItem(esk52_3(X1,esk54_0,esk55_0))
    | app(app(esk54_0,cons(X1,nil)),esk55_0) != esk49_0
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_15]),c_0_16]),c_0_17])]) ).

cnf(c_0_29,negated_conjecture,
    ( app(app(X1,cons(X2,nil)),X3) != esk49_0
    | esk52_3(X2,X1,X3) != X2
    | app(X1,X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_6])]) ).

cnf(c_0_30,negated_conjecture,
    ( esk53_0 = X1
    | ~ geq(X1,esk53_0)
    | ~ memberP(esk49_0,X1)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_5]),c_0_5]),c_0_6])]) ).

cnf(c_0_31,negated_conjecture,
    geq(esk52_3(esk53_0,esk54_0,esk55_0),esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).

cnf(c_0_32,negated_conjecture,
    memberP(esk49_0,esk52_3(esk53_0,esk54_0,esk55_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_25]),c_0_26])]) ).

cnf(c_0_33,negated_conjecture,
    ssItem(esk52_3(esk53_0,esk54_0,esk55_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_26])]) ).

cnf(c_0_34,negated_conjecture,
    ( app(app(esk54_0,cons(X1,nil)),esk55_0) != esk49_0
    | esk52_3(X1,esk54_0,esk55_0) != X1
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_15]),c_0_16]),c_0_17])]) ).

cnf(c_0_35,negated_conjecture,
    esk52_3(esk53_0,esk54_0,esk55_0) = esk53_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33])]) ).

cnf(c_0_36,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_25]),c_0_26])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWC002+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 17:03:28 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.58  start to proof: theBenchmark
% 0.83/0.92  % Version  : CSE_E---1.5
% 0.83/0.92  % Problem  : theBenchmark.p
% 0.83/0.92  % Proof found
% 0.83/0.92  % SZS status Theorem for theBenchmark.p
% 0.83/0.92  % SZS output start Proof
% See solution above
% 0.83/0.93  % Total time : 0.329000 s
% 0.83/0.93  % SZS output end Proof
% 0.83/0.93  % Total time : 0.334000 s
%------------------------------------------------------------------------------