TSTP Solution File: SWC404+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC404+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% 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  : 600s
% DateTime : Tue Jul 19 20:15:29 EDT 2022

% Result   : Theorem 9.63s 2.67s
% Output   : CNFRefutation 9.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   74 (  31 unt;   0 def)
%            Number of atoms       :  282 (  64 equ)
%            Maximal formula atoms :   29 (   3 avg)
%            Number of connectives :  333 ( 125   ~; 125   |;  47   &)
%                                         (   2 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :  116 (   0 sgn  59   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ( app(app(X5,X3),X6) != X4
                              | ~ strictorderedP(X3)
                              | ? [X7] :
                                  ( ssItem(X7)
                                  & ? [X8] :
                                      ( ssList(X8)
                                      & app(X8,cons(X7,nil)) = X5
                                      & ? [X9] :
                                          ( ssItem(X9)
                                          & ? [X10] :
                                              ( ssList(X10)
                                              & app(cons(X9,nil),X10) = X3
                                              & lt(X7,X9) ) ) ) )
                              | ? [X11] :
                                  ( ssItem(X11)
                                  & ? [X12] :
                                      ( ssList(X12)
                                      & app(cons(X11,nil),X12) = X6
                                      & ? [X13] :
                                          ( ssItem(X13)
                                          & ? [X14] :
                                              ( ssList(X14)
                                              & app(X14,cons(X13,nil)) = X3
                                              & lt(X13,X11) ) ) ) ) ) ) )
                    | ! [X15] :
                        ( ssItem(X15)
                       => ( ~ memberP(X1,X15)
                          | memberP(X2,X15) ) )
                    | ( nil != X4
                      & nil = X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(ax5,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( frontsegP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & app(X2,X3) = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).

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

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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).

fof(ax80,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( app(X2,X3) = app(X2,X1)
               => X3 = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax80) ).

fof(ax42,axiom,
    ! [X1] :
      ( ssList(X1)
     => frontsegP(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax42) ).

fof(ax84,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(X1,nil) = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).

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

fof(ax40,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( ( frontsegP(X1,X2)
                  & frontsegP(X2,X3) )
               => frontsegP(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax40) ).

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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).

fof(c_0_10,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ! [X5] :
                          ( ssList(X5)
                         => ! [X6] :
                              ( ssList(X6)
                             => ( app(app(X5,X3),X6) != X4
                                | ~ strictorderedP(X3)
                                | ? [X7] :
                                    ( ssItem(X7)
                                    & ? [X8] :
                                        ( ssList(X8)
                                        & app(X8,cons(X7,nil)) = X5
                                        & ? [X9] :
                                            ( ssItem(X9)
                                            & ? [X10] :
                                                ( ssList(X10)
                                                & app(cons(X9,nil),X10) = X3
                                                & lt(X7,X9) ) ) ) )
                                | ? [X11] :
                                    ( ssItem(X11)
                                    & ? [X12] :
                                        ( ssList(X12)
                                        & app(cons(X11,nil),X12) = X6
                                        & ? [X13] :
                                            ( ssItem(X13)
                                            & ? [X14] :
                                                ( ssList(X14)
                                                & app(X14,cons(X13,nil)) = X3
                                                & lt(X13,X11) ) ) ) ) ) ) )
                      | ! [X15] :
                          ( ssItem(X15)
                         => ( ~ memberP(X1,X15)
                            | memberP(X2,X15) ) )
                      | ( nil != X4
                        & nil = X3 ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_11,negated_conjecture,
    ! [X266,X267,X268,X269,X270,X271,X272,X273] :
      ( ssList(esk48_0)
      & ssList(esk49_0)
      & ssList(esk50_0)
      & ssList(esk51_0)
      & esk49_0 = esk51_0
      & esk48_0 = esk50_0
      & ssList(esk52_0)
      & ssList(esk53_0)
      & app(app(esk52_0,esk50_0),esk53_0) = esk51_0
      & strictorderedP(esk50_0)
      & ( ~ ssItem(X266)
        | ~ ssList(X267)
        | app(X267,cons(X266,nil)) != esk52_0
        | ~ ssItem(X268)
        | ~ ssList(X269)
        | app(cons(X268,nil),X269) != esk50_0
        | ~ lt(X266,X268) )
      & ( ~ ssItem(X270)
        | ~ ssList(X271)
        | app(cons(X270,nil),X271) != esk53_0
        | ~ ssItem(X272)
        | ~ ssList(X273)
        | app(X273,cons(X272,nil)) != esk50_0
        | ~ lt(X272,X270) )
      & ssItem(esk54_0)
      & memberP(esk48_0,esk54_0)
      & ~ memberP(esk49_0,esk54_0)
      & ( nil = esk51_0
        | nil != esk50_0 ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_10])])])])]) ).

fof(c_0_12,plain,
    ! [X29,X30,X32] :
      ( ( ssList(esk6_2(X29,X30))
        | ~ frontsegP(X29,X30)
        | ~ ssList(X30)
        | ~ ssList(X29) )
      & ( app(X30,esk6_2(X29,X30)) = X29
        | ~ frontsegP(X29,X30)
        | ~ ssList(X30)
        | ~ ssList(X29) )
      & ( ~ ssList(X32)
        | app(X30,X32) != X29
        | frontsegP(X29,X30)
        | ~ ssList(X30)
        | ~ ssList(X29) ) ),
    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_13,plain,
    ! [X139,X140] :
      ( ~ ssList(X139)
      | ~ ssList(X140)
      | ssList(app(X139,X140)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).

fof(c_0_14,plain,
    ! [X231,X232,X233] :
      ( ~ ssList(X231)
      | ~ ssList(X232)
      | ~ ssList(X233)
      | app(app(X231,X232),X233) = app(X231,app(X232,X233)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).

cnf(c_0_15,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    ( frontsegP(X3,X2)
    | ~ ssList(X1)
    | app(X2,X1) != X3
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

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

cnf(c_0_19,negated_conjecture,
    app(app(esk52_0,esk50_0),esk53_0) = esk51_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_20,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,negated_conjecture,
    ssList(esk53_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_22,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_23,negated_conjecture,
    ssList(esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_24,plain,
    ! [X226,X227,X228] :
      ( ~ ssList(X226)
      | ~ ssList(X227)
      | ~ ssList(X228)
      | app(X227,X228) != app(X227,X226)
      | X228 = X226 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).

cnf(c_0_25,plain,
    ( frontsegP(app(X1,X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_17]),c_0_18]) ).

cnf(c_0_26,negated_conjecture,
    app(esk52_0,app(esk50_0,esk53_0)) = esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]),c_0_23])]) ).

cnf(c_0_27,plain,
    ( X3 = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(X2,X3) != app(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_28,negated_conjecture,
    ( frontsegP(esk51_0,esk52_0)
    | ~ ssList(app(esk50_0,esk53_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_23])]) ).

cnf(c_0_29,negated_conjecture,
    ssList(esk49_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_30,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_31,negated_conjecture,
    ( X1 = app(esk50_0,esk53_0)
    | app(esk52_0,X1) != esk51_0
    | ~ ssList(app(esk50_0,esk53_0))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_26]),c_0_23])]) ).

cnf(c_0_32,plain,
    ( app(X1,esk6_2(X2,X1)) = X2
    | ~ frontsegP(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_33,negated_conjecture,
    frontsegP(esk51_0,esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_18]),c_0_21]),c_0_22])]) ).

cnf(c_0_34,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_35,plain,
    ( ssList(esk6_2(X1,X2))
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_36,negated_conjecture,
    ( X1 = app(esk50_0,esk53_0)
    | app(esk52_0,X1) != esk51_0
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_18]),c_0_21]),c_0_22])]) ).

cnf(c_0_37,negated_conjecture,
    app(esk52_0,esk6_2(esk51_0,esk52_0)) = esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_23])]) ).

cnf(c_0_38,negated_conjecture,
    ssList(esk6_2(esk51_0,esk52_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_33]),c_0_23]),c_0_34])]) ).

cnf(c_0_39,negated_conjecture,
    esk6_2(esk51_0,esk52_0) = app(esk50_0,esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).

fof(c_0_40,plain,
    ! [X172] :
      ( ~ ssList(X172)
      | frontsegP(X172,X172) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax42])]) ).

cnf(c_0_41,negated_conjecture,
    ssList(app(esk50_0,esk53_0)),
    inference(rw,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,plain,
    ( frontsegP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

fof(c_0_43,plain,
    ! [X236] :
      ( ~ ssList(X236)
      | app(X236,nil) = X236 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).

cnf(c_0_44,negated_conjecture,
    ( app(esk52_0,app(app(esk50_0,esk53_0),X1)) = app(esk51_0,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_26]),c_0_23])]),c_0_41])]) ).

cnf(c_0_45,plain,
    ( app(X1,esk6_2(X1,X1)) = X1
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_42]) ).

cnf(c_0_46,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_47,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_48,negated_conjecture,
    ( app(esk51_0,esk6_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))) = esk51_0
    | ~ ssList(esk6_2(app(esk50_0,esk53_0),app(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_45]),c_0_26]),c_0_41])]) ).

cnf(c_0_49,plain,
    ( ssList(esk6_2(X1,X1))
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_42]) ).

cnf(c_0_50,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_27,c_0_46]),c_0_47])]) ).

cnf(c_0_51,negated_conjecture,
    app(esk51_0,esk6_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))) = esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_41])]) ).

cnf(c_0_52,negated_conjecture,
    ( esk6_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)) = nil
    | ~ ssList(esk6_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_34])]) ).

fof(c_0_53,plain,
    ! [X167,X168,X169] :
      ( ~ ssList(X167)
      | ~ ssList(X168)
      | ~ ssList(X169)
      | ~ frontsegP(X167,X168)
      | ~ frontsegP(X168,X169)
      | frontsegP(X167,X169) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax40])])]) ).

cnf(c_0_54,negated_conjecture,
    esk6_2(app(esk50_0,esk53_0),app(esk50_0,esk53_0)) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_49]),c_0_41])]) ).

cnf(c_0_55,plain,
    ( frontsegP(X1,X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ frontsegP(X1,X2)
    | ~ frontsegP(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_56,negated_conjecture,
    app(app(esk50_0,esk53_0),nil) = app(esk50_0,esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_54]),c_0_41])]) ).

fof(c_0_57,plain,
    ! [X160,X161,X162] :
      ( ( ~ memberP(app(X161,X162),X160)
        | memberP(X161,X160)
        | memberP(X162,X160)
        | ~ ssList(X162)
        | ~ ssList(X161)
        | ~ ssItem(X160) )
      & ( ~ memberP(X161,X160)
        | memberP(app(X161,X162),X160)
        | ~ ssList(X162)
        | ~ ssList(X161)
        | ~ ssItem(X160) )
      & ( ~ memberP(X162,X160)
        | memberP(app(X161,X162),X160)
        | ~ ssList(X162)
        | ~ ssList(X161)
        | ~ ssItem(X160) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])])]) ).

cnf(c_0_58,negated_conjecture,
    memberP(esk48_0,esk54_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_59,plain,
    ( frontsegP(X1,X2)
    | ~ frontsegP(X1,app(X2,X3))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_25]),c_0_18]) ).

cnf(c_0_60,negated_conjecture,
    frontsegP(app(esk50_0,esk53_0),app(esk50_0,esk53_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_56]),c_0_41]),c_0_47])]) ).

cnf(c_0_61,plain,
    ( memberP(app(X1,X3),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_62,negated_conjecture,
    memberP(esk50_0,esk54_0),
    inference(rw,[status(thm)],[c_0_58,c_0_16]) ).

cnf(c_0_63,negated_conjecture,
    ssItem(esk54_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_64,negated_conjecture,
    frontsegP(app(esk50_0,esk53_0),esk50_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_22]),c_0_41]),c_0_21])]) ).

cnf(c_0_65,negated_conjecture,
    ( memberP(app(esk50_0,X1),esk54_0)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_22]),c_0_63])]) ).

cnf(c_0_66,negated_conjecture,
    app(esk50_0,esk6_2(app(esk50_0,esk53_0),esk50_0)) = app(esk50_0,esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_64]),c_0_41]),c_0_22])]) ).

cnf(c_0_67,negated_conjecture,
    ssList(esk6_2(app(esk50_0,esk53_0),esk50_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_64]),c_0_22]),c_0_41])]) ).

cnf(c_0_68,plain,
    ( memberP(app(X3,X1),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_69,negated_conjecture,
    memberP(app(esk50_0,esk53_0),esk54_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).

cnf(c_0_70,negated_conjecture,
    ~ memberP(esk49_0,esk54_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_71,negated_conjecture,
    ( memberP(app(X1,app(esk50_0,esk53_0)),esk54_0)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_41]),c_0_63])]) ).

cnf(c_0_72,negated_conjecture,
    ~ memberP(esk51_0,esk54_0),
    inference(rw,[status(thm)],[c_0_70,c_0_30]) ).

cnf(c_0_73,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_26]),c_0_23])]),c_0_72]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWC404+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sun Jun 12 13:41:11 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.48  # ENIGMATIC: Selected SinE mode:
% 0.21/0.49  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.21/0.49  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.21/0.49  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.63/2.67  # ENIGMATIC: Solved by autoschedule:
% 9.63/2.67  # No SInE strategy applied
% 9.63/2.67  # Trying AutoSched0 for 150 seconds
% 9.63/2.67  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 9.63/2.67  # and selection function SelectNewComplexAHP.
% 9.63/2.67  #
% 9.63/2.67  # Preprocessing time       : 0.037 s
% 9.63/2.67  # Presaturation interreduction done
% 9.63/2.67  
% 9.63/2.67  # Proof found!
% 9.63/2.67  # SZS status Theorem
% 9.63/2.67  # SZS output start CNFRefutation
% See solution above
% 9.63/2.67  # Training examples: 0 positive, 0 negative
% 9.63/2.67  
% 9.63/2.67  # -------------------------------------------------
% 9.63/2.67  # User time                : 0.221 s
% 9.63/2.67  # System time              : 0.014 s
% 9.63/2.67  # Total time               : 0.235 s
% 9.63/2.67  # Maximum resident set size: 7120 pages
% 9.63/2.67  
%------------------------------------------------------------------------------