TSTP Solution File: SWC183+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWC183+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 : n017.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 20:20:31 EDT 2023

% Result   : Theorem 0.75s 0.81s
% Output   : CNFRefutation 0.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :  100
% Syntax   : Number of formulae    :  211 (  36 unt;  79 typ;   0 def)
%            Number of atoms       :  480 ( 146 equ)
%            Maximal formula atoms :   34 (   3 avg)
%            Number of connectives :  586 ( 238   ~; 243   |;  46   &)
%                                         (   6 <=>;  53  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   4 avg)
%            Maximal term depth    :    4 (   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   :  172 (   0 sgn; 100   !;   6   ?;   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
                  | ! [X5] :
                      ( ssItem(X5)
                     => ! [X6] :
                          ( ssList(X6)
                         => ! [X7] :
                              ( ~ ssList(X7)
                              | app(app(X6,cons(X5,nil)),X7) != X1
                              | ( ~ memberP(X6,X5)
                                & ~ memberP(X7,X5) ) ) ) )
                  | ( ! [X8] :
                        ( ~ ssItem(X8)
                        | cons(X8,nil) != X3
                        | ~ memberP(X4,X8)
                        | ? [X9] :
                            ( ssItem(X9)
                            & X8 != X9
                            & memberP(X4,X9)
                            & leq(X8,X9) ) )
                    & ( nil != X4
                      | nil != X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

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

fof(ax5,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( frontsegP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & app(X2,X3) = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).

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

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).

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(ax6,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( rearsegP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & app(X3,X2) = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax6) ).

fof(ax27,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssItem(X3)
             => cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax27) ).

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

fof(ax28,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(nil,X1) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).

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

fof(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(ax36,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( memberP(app(X2,X3),X1)
              <=> ( memberP(X2,X1)
                  | memberP(X3,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax36) ).

fof(ax38,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ~ memberP(nil,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).

fof(ax37,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( memberP(cons(X2,X3),X1)
              <=> ( X1 = X2
                  | memberP(X3,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax37) ).

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

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

fof(ax86,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil != X1
           => tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax86) ).

fof(ax24,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssList(tl(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).

fof(c_0_21,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ~ ssList(X4)
                    | X2 != X4
                    | X1 != X3
                    | ! [X5] :
                        ( ssItem(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ! [X7] :
                                ( ~ ssList(X7)
                                | app(app(X6,cons(X5,nil)),X7) != X1
                                | ( ~ memberP(X6,X5)
                                  & ~ memberP(X7,X5) ) ) ) )
                    | ( ! [X8] :
                          ( ~ ssItem(X8)
                          | cons(X8,nil) != X3
                          | ~ memberP(X4,X8)
                          | ? [X9] :
                              ( ssItem(X9)
                              & X8 != X9
                              & memberP(X4,X9)
                              & leq(X8,X9) ) )
                      & ( nil != X4
                        | nil != X3 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_22,negated_conjecture,
    ! [X262] :
      ( ssList(esk48_0)
      & ssList(esk49_0)
      & ssList(esk50_0)
      & ssList(esk51_0)
      & esk49_0 = esk51_0
      & esk48_0 = esk50_0
      & ssItem(esk52_0)
      & ssList(esk53_0)
      & ssList(esk54_0)
      & app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0
      & ( memberP(esk53_0,esk52_0)
        | memberP(esk54_0,esk52_0) )
      & ( nil = esk51_0
        | ssItem(esk55_0) )
      & ( nil = esk50_0
        | ssItem(esk55_0) )
      & ( nil = esk51_0
        | cons(esk55_0,nil) = esk50_0 )
      & ( nil = esk50_0
        | cons(esk55_0,nil) = esk50_0 )
      & ( nil = esk51_0
        | memberP(esk51_0,esk55_0) )
      & ( nil = esk50_0
        | memberP(esk51_0,esk55_0) )
      & ( nil = esk51_0
        | ~ ssItem(X262)
        | esk55_0 = X262
        | ~ memberP(esk51_0,X262)
        | ~ leq(esk55_0,X262) )
      & ( nil = esk50_0
        | ~ ssItem(X262)
        | esk55_0 = X262
        | ~ memberP(esk51_0,X262)
        | ~ leq(esk55_0,X262) ) ),
    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_21])])])])]) ).

cnf(c_0_23,negated_conjecture,
    app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_24,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_25,plain,
    ! [X225,X226,X227] :
      ( ~ ssList(X225)
      | ~ ssList(X226)
      | ~ ssList(X227)
      | app(app(X225,X226),X227) = app(X225,app(X226,X227)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).

cnf(c_0_26,negated_conjecture,
    app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_27,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_28,negated_conjecture,
    ssList(esk54_0),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,negated_conjecture,
    ssList(esk53_0),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_30,plain,
    ! [X114,X115] :
      ( ~ ssList(X114)
      | ~ ssItem(X115)
      | ssList(cons(X115,X114)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).

fof(c_0_31,plain,
    ! [X23,X24,X26] :
      ( ( ssList(esk6_2(X23,X24))
        | ~ frontsegP(X23,X24)
        | ~ ssList(X24)
        | ~ ssList(X23) )
      & ( app(X24,esk6_2(X23,X24)) = X23
        | ~ frontsegP(X23,X24)
        | ~ ssList(X24)
        | ~ ssList(X23) )
      & ( ~ ssList(X26)
        | app(X24,X26) != X23
        | frontsegP(X23,X24)
        | ~ ssList(X24)
        | ~ ssList(X23) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5])])])])]) ).

fof(c_0_32,plain,
    ! [X133,X134] :
      ( ~ ssList(X133)
      | ~ ssList(X134)
      | ssList(app(X133,X134)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).

cnf(c_0_33,negated_conjecture,
    ( app(esk53_0,app(cons(esk52_0,nil),esk54_0)) = esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29])]) ).

cnf(c_0_34,plain,
    ( ssList(cons(X2,X1))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_35,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_36,negated_conjecture,
    ssItem(esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_37,plain,
    ! [X223,X224] :
      ( ~ ssList(X223)
      | ~ ssItem(X224)
      | cons(X224,X223) = app(cons(X224,nil),X223) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).

cnf(c_0_38,plain,
    ( frontsegP(X3,X2)
    | ~ ssList(X1)
    | app(X2,X1) != X3
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_39,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_40,negated_conjecture,
    app(esk53_0,app(cons(esk52_0,nil),esk54_0)) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36])]) ).

cnf(c_0_41,plain,
    ( cons(X2,X1) = app(cons(X2,nil),X1)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_42,plain,
    ( frontsegP(app(X1,X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_38]),c_0_39]) ).

cnf(c_0_43,negated_conjecture,
    app(esk53_0,cons(esk52_0,esk54_0)) = esk50_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_28]),c_0_36])]) ).

cnf(c_0_44,negated_conjecture,
    ( frontsegP(esk50_0,esk53_0)
    | ~ ssList(cons(esk52_0,esk54_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_29])]) ).

cnf(c_0_45,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_46,plain,
    ! [X220,X221,X222] :
      ( ~ ssList(X220)
      | ~ ssList(X221)
      | ~ ssList(X222)
      | app(X221,X222) != app(X221,X220)
      | X222 = X220 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).

cnf(c_0_47,plain,
    ( app(X1,esk6_2(X2,X1)) = X2
    | ~ frontsegP(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_48,negated_conjecture,
    frontsegP(esk50_0,esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_34]),c_0_28]),c_0_36])]) ).

cnf(c_0_49,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_45,c_0_24]) ).

cnf(c_0_50,plain,
    ( ssList(esk6_2(X1,X2))
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_51,plain,
    ( X3 = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(X2,X3) != app(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_52,negated_conjecture,
    app(esk53_0,esk6_2(esk50_0,esk53_0)) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_29])]) ).

cnf(c_0_53,negated_conjecture,
    ssList(esk6_2(esk50_0,esk53_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_48]),c_0_29]),c_0_49])]) ).

cnf(c_0_54,negated_conjecture,
    ( X1 = esk6_2(esk50_0,esk53_0)
    | app(esk53_0,X1) != esk50_0
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_29])]) ).

cnf(c_0_55,negated_conjecture,
    ( esk6_2(esk50_0,esk53_0) = cons(esk52_0,esk54_0)
    | ~ ssList(cons(esk52_0,esk54_0)) ),
    inference(spm,[status(thm)],[c_0_54,c_0_43]) ).

cnf(c_0_56,negated_conjecture,
    esk6_2(esk50_0,esk53_0) = cons(esk52_0,esk54_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_34]),c_0_28]),c_0_36])]) ).

fof(c_0_57,plain,
    ! [X27,X28,X30] :
      ( ( ssList(esk7_2(X27,X28))
        | ~ rearsegP(X27,X28)
        | ~ ssList(X28)
        | ~ ssList(X27) )
      & ( app(esk7_2(X27,X28),X28) = X27
        | ~ rearsegP(X27,X28)
        | ~ ssList(X28)
        | ~ ssList(X27) )
      & ( ~ ssList(X30)
        | app(X30,X28) != X27
        | rearsegP(X27,X28)
        | ~ ssList(X28)
        | ~ ssList(X27) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])])])])]) ).

cnf(c_0_58,negated_conjecture,
    ( X1 = cons(esk52_0,esk54_0)
    | app(esk53_0,X1) != esk50_0
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_54,c_0_56]) ).

cnf(c_0_59,plain,
    ( rearsegP(X3,X2)
    | ~ ssList(X1)
    | app(X1,X2) != X3
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_60,negated_conjecture,
    ( app(cons(esk52_0,nil),esk54_0) = cons(esk52_0,esk54_0)
    | ~ ssList(app(cons(esk52_0,nil),esk54_0)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_40]) ).

cnf(c_0_61,plain,
    ( rearsegP(app(X1,X2),X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_59]),c_0_39]) ).

fof(c_0_62,plain,
    ! [X135,X136,X137] :
      ( ~ ssList(X135)
      | ~ ssList(X136)
      | ~ ssItem(X137)
      | cons(X137,app(X136,X135)) = app(cons(X137,X136),X135) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).

cnf(c_0_63,negated_conjecture,
    ( app(cons(esk52_0,nil),esk54_0) = cons(esk52_0,esk54_0)
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_39]),c_0_28])]) ).

cnf(c_0_64,negated_conjecture,
    ( rearsegP(esk50_0,cons(esk52_0,esk54_0))
    | ~ ssList(cons(esk52_0,esk54_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_43]),c_0_29])]) ).

fof(c_0_65,plain,
    ! [X125,X126] :
      ( ~ ssList(X125)
      | ~ ssItem(X126)
      | nil != cons(X126,X125) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).

cnf(c_0_66,plain,
    ( cons(X3,app(X2,X1)) = app(cons(X3,X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_67,negated_conjecture,
    app(cons(esk52_0,nil),esk54_0) = cons(esk52_0,esk54_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_34]),c_0_35]),c_0_36])]) ).

cnf(c_0_68,plain,
    ( app(esk7_2(X1,X2),X2) = X1
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_69,negated_conjecture,
    rearsegP(esk50_0,cons(esk52_0,esk54_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_34]),c_0_28]),c_0_36])]) ).

cnf(c_0_70,plain,
    ( ssList(esk7_2(X1,X2))
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_71,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X2)
    | nil != cons(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_72,negated_conjecture,
    cons(esk52_0,app(nil,esk54_0)) = cons(esk52_0,esk54_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_35]),c_0_28]),c_0_36])]) ).

fof(c_0_73,plain,
    ! [X138] :
      ( ~ ssList(X138)
      | app(nil,X138) = X138 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

fof(c_0_74,plain,
    ! [X14,X15,X18,X19] :
      ( ( ssList(esk3_2(X14,X15))
        | ~ memberP(X14,X15)
        | ~ ssItem(X15)
        | ~ ssList(X14) )
      & ( ssList(esk4_2(X14,X15))
        | ~ memberP(X14,X15)
        | ~ ssItem(X15)
        | ~ ssList(X14) )
      & ( app(esk3_2(X14,X15),cons(X15,esk4_2(X14,X15))) = X14
        | ~ memberP(X14,X15)
        | ~ ssItem(X15)
        | ~ ssList(X14) )
      & ( ~ ssList(X18)
        | ~ ssList(X19)
        | app(X18,cons(X15,X19)) != X14
        | memberP(X14,X15)
        | ~ ssItem(X15)
        | ~ ssList(X14) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])]) ).

fof(c_0_75,plain,
    ! [X228,X229] :
      ( ( nil = X229
        | nil != app(X228,X229)
        | ~ ssList(X229)
        | ~ ssList(X228) )
      & ( nil = X228
        | nil != app(X228,X229)
        | ~ ssList(X229)
        | ~ ssList(X228) )
      & ( nil != X229
        | nil != X228
        | nil = app(X228,X229)
        | ~ ssList(X229)
        | ~ ssList(X228) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])]) ).

cnf(c_0_76,negated_conjecture,
    ( app(esk7_2(esk50_0,cons(esk52_0,esk54_0)),cons(esk52_0,esk54_0)) = esk50_0
    | ~ ssList(cons(esk52_0,esk54_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_49])]) ).

cnf(c_0_77,negated_conjecture,
    ssList(cons(esk52_0,esk54_0)),
    inference(rw,[status(thm)],[c_0_53,c_0_56]) ).

cnf(c_0_78,negated_conjecture,
    ( ssList(esk7_2(esk50_0,cons(esk52_0,esk54_0)))
    | ~ ssList(cons(esk52_0,esk54_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_69]),c_0_49])]) ).

cnf(c_0_79,negated_conjecture,
    ( cons(esk52_0,esk54_0) != nil
    | ~ ssList(app(nil,esk54_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_36])]) ).

cnf(c_0_80,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_81,plain,
    ( memberP(X4,X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,cons(X3,X2)) != X4
    | ~ ssItem(X3)
    | ~ ssList(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_82,plain,
    ( nil = X1
    | nil != app(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_83,negated_conjecture,
    app(esk7_2(esk50_0,cons(esk52_0,esk54_0)),cons(esk52_0,esk54_0)) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77])]) ).

cnf(c_0_84,negated_conjecture,
    ssList(esk7_2(esk50_0,cons(esk52_0,esk54_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_34]),c_0_28]),c_0_36])]) ).

cnf(c_0_85,negated_conjecture,
    cons(esk52_0,esk54_0) != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_28])]) ).

fof(c_0_86,plain,
    ! [X154,X155,X156] :
      ( ( ~ memberP(app(X155,X156),X154)
        | memberP(X155,X154)
        | memberP(X156,X154)
        | ~ ssList(X156)
        | ~ ssList(X155)
        | ~ ssItem(X154) )
      & ( ~ memberP(X155,X154)
        | memberP(app(X155,X156),X154)
        | ~ ssList(X156)
        | ~ ssList(X155)
        | ~ ssItem(X154) )
      & ( ~ memberP(X156,X154)
        | memberP(app(X155,X156),X154)
        | ~ ssList(X156)
        | ~ ssList(X155)
        | ~ ssItem(X154) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])])]) ).

cnf(c_0_87,plain,
    ( memberP(app(X1,cons(X2,X3)),X2)
    | ~ ssList(app(X1,cons(X2,X3)))
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(er,[status(thm)],[c_0_81]) ).

cnf(c_0_88,negated_conjecture,
    ( nil = esk50_0
    | cons(esk55_0,nil) = esk50_0 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_89,negated_conjecture,
    esk50_0 != nil,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_77])]),c_0_85]) ).

cnf(c_0_90,negated_conjecture,
    ( nil = esk50_0
    | ssItem(esk55_0) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_91,plain,
    ( memberP(app(X1,X3),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_92,negated_conjecture,
    memberP(esk50_0,esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_43]),c_0_49]),c_0_28]),c_0_29]),c_0_36])]) ).

cnf(c_0_93,negated_conjecture,
    cons(esk55_0,nil) = esk50_0,
    inference(sr,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_94,negated_conjecture,
    ssItem(esk55_0),
    inference(sr,[status(thm)],[c_0_90,c_0_89]) ).

fof(c_0_95,plain,
    ! [X1] :
      ( ssItem(X1)
     => ~ memberP(nil,X1) ),
    inference(fof_simplification,[status(thm)],[ax38]) ).

fof(c_0_96,plain,
    ! [X157,X158,X159] :
      ( ( ~ memberP(cons(X158,X159),X157)
        | X157 = X158
        | memberP(X159,X157)
        | ~ ssList(X159)
        | ~ ssItem(X158)
        | ~ ssItem(X157) )
      & ( X157 != X158
        | memberP(cons(X158,X159),X157)
        | ~ ssList(X159)
        | ~ ssItem(X158)
        | ~ ssItem(X157) )
      & ( ~ memberP(X159,X157)
        | memberP(cons(X158,X159),X157)
        | ~ ssList(X159)
        | ~ ssItem(X158)
        | ~ ssItem(X157) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax37])])])]) ).

cnf(c_0_97,negated_conjecture,
    ( memberP(app(esk50_0,X1),esk52_0)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_49]),c_0_36])]) ).

cnf(c_0_98,negated_conjecture,
    ( app(esk50_0,X1) = cons(esk55_0,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_93]),c_0_94])]) ).

fof(c_0_99,plain,
    ! [X230] :
      ( ~ ssList(X230)
      | app(X230,nil) = X230 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).

fof(c_0_100,plain,
    ! [X160] :
      ( ~ ssItem(X160)
      | ~ memberP(nil,X160) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])]) ).

cnf(c_0_101,plain,
    ( X3 = X1
    | memberP(X2,X3)
    | ~ memberP(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_102,negated_conjecture,
    ( memberP(cons(esk55_0,X1),esk52_0)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

fof(c_0_103,plain,
    ! [X131,X132] :
      ( ~ ssList(X131)
      | ~ ssItem(X132)
      | tl(cons(X132,X131)) = X131 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])]) ).

cnf(c_0_104,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_105,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_106,negated_conjecture,
    ( esk52_0 = esk55_0
    | memberP(X1,esk52_0)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_36]),c_0_94])]) ).

cnf(c_0_107,plain,
    ( tl(cons(X2,X1)) = X1
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_108,plain,
    ( X1 = nil
    | app(X2,X1) != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_104]),c_0_35])]) ).

fof(c_0_109,plain,
    ! [X233,X234] :
      ( ~ ssList(X233)
      | ~ ssList(X234)
      | nil = X233
      | tl(app(X233,X234)) = app(tl(X233),X234) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax86])])]) ).

cnf(c_0_110,negated_conjecture,
    esk52_0 = esk55_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_36]),c_0_35])]) ).

cnf(c_0_111,negated_conjecture,
    ( tl(esk50_0) = nil
    | esk50_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_88]),c_0_35])]),c_0_90]) ).

cnf(c_0_112,negated_conjecture,
    ( esk54_0 = nil
    | app(esk53_0,cons(esk52_0,nil)) != esk50_0
    | ~ ssList(app(esk53_0,cons(esk52_0,nil))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_26]),c_0_28])]) ).

cnf(c_0_113,plain,
    ( nil = X1
    | tl(app(X1,X2)) = app(tl(X1),X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_114,negated_conjecture,
    app(esk53_0,cons(esk55_0,esk54_0)) = esk50_0,
    inference(spm,[status(thm)],[c_0_43,c_0_110]) ).

cnf(c_0_115,negated_conjecture,
    tl(esk50_0) = nil,
    inference(sr,[status(thm)],[c_0_111,c_0_89]) ).

cnf(c_0_116,negated_conjecture,
    ssList(cons(esk55_0,esk54_0)),
    inference(spm,[status(thm)],[c_0_77,c_0_110]) ).

cnf(c_0_117,negated_conjecture,
    ( esk54_0 = nil
    | app(esk53_0,cons(esk52_0,nil)) != esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_39]),c_0_29])]) ).

cnf(c_0_118,negated_conjecture,
    ( app(tl(esk53_0),cons(esk55_0,esk54_0)) = nil
    | esk53_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_116]),c_0_29])]) ).

cnf(c_0_119,negated_conjecture,
    cons(esk55_0,esk54_0) != nil,
    inference(rw,[status(thm)],[c_0_85,c_0_110]) ).

fof(c_0_120,plain,
    ! [X130] :
      ( ~ ssList(X130)
      | nil = X130
      | ssList(tl(X130)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).

cnf(c_0_121,negated_conjecture,
    ( esk54_0 = nil
    | app(esk53_0,cons(esk52_0,nil)) != esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_34]),c_0_35]),c_0_36])]) ).

cnf(c_0_122,negated_conjecture,
    ( esk53_0 = nil
    | ~ ssList(tl(esk53_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_118]),c_0_116])]),c_0_119]) ).

cnf(c_0_123,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_124,negated_conjecture,
    ( esk54_0 = nil
    | app(esk53_0,esk50_0) != esk50_0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_110]),c_0_93]) ).

cnf(c_0_125,negated_conjecture,
    esk53_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_29])]) ).

cnf(c_0_126,negated_conjecture,
    ( memberP(esk53_0,esk52_0)
    | memberP(esk54_0,esk52_0) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_127,negated_conjecture,
    ( esk54_0 = nil
    | app(nil,esk50_0) != esk50_0 ),
    inference(rw,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_128,negated_conjecture,
    ( memberP(esk54_0,esk55_0)
    | memberP(esk53_0,esk55_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_110]),c_0_110]) ).

cnf(c_0_129,negated_conjecture,
    esk54_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_80]),c_0_49])]) ).

cnf(c_0_130,negated_conjecture,
    memberP(nil,esk55_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_125]),c_0_129])]) ).

cnf(c_0_131,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_130]),c_0_94])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : SWC183+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.36  % Computer : n017.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 28 17:18:42 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.22/0.64  start to proof: theBenchmark
% 0.75/0.81  % Version  : CSE_E---1.5
% 0.75/0.81  % Problem  : theBenchmark.p
% 0.75/0.81  % Proof found
% 0.75/0.81  % SZS status Theorem for theBenchmark.p
% 0.75/0.81  % SZS output start Proof
% See solution above
% 0.75/0.82  % Total time : 0.151000 s
% 0.75/0.82  % SZS output end Proof
% 0.75/0.82  % Total time : 0.157000 s
%------------------------------------------------------------------------------