TSTP Solution File: SWC403+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC403+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 10.70s 2.75s
% Output   : CNFRefutation 10.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   80 (  29 unt;   0 def)
%            Number of atoms       :  314 (  37 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  393 ( 159   ~; 158   |;  37   &)
%                                         (   5 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-2 aty)
%            Number of variables   :  123 (   0 sgn  63   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ~ segmentP(X4,X3)
                    | ~ strictorderedP(X3)
                    | ? [X5] :
                        ( ssList(X5)
                        & neq(X3,X5)
                        & segmentP(X4,X5)
                        & segmentP(X5,X3)
                        & strictorderedP(X5) )
                    | ! [X6] :
                        ( ssItem(X6)
                       => ( ~ memberP(X1,X6)
                          | memberP(X2,X6) ) ) ) ) ) ) ),
    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(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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).

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

fof(ax50,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( rearsegP(X1,X2)
               => rearsegP(app(X3,X1),X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax50) ).

fof(ax51,axiom,
    ! [X1] :
      ( ssList(X1)
     => rearsegP(X1,nil) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax51) ).

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

fof(ax6,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( rearsegP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & app(X3,X2) = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax6) ).

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

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(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(ax7,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( segmentP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ssList(X4)
                    & app(app(X3,X2),X4) = X1 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ~ segmentP(X4,X3)
                      | ~ strictorderedP(X3)
                      | ? [X5] :
                          ( ssList(X5)
                          & neq(X3,X5)
                          & segmentP(X4,X5)
                          & segmentP(X5,X3)
                          & strictorderedP(X5) )
                      | ! [X6] :
                          ( ssItem(X6)
                         => ( ~ memberP(X1,X6)
                            | memberP(X2,X6) ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_14,negated_conjecture,
    ! [X255] :
      ( ssList(esk48_0)
      & ssList(esk49_0)
      & ssList(esk50_0)
      & ssList(esk51_0)
      & esk49_0 = esk51_0
      & esk48_0 = esk50_0
      & segmentP(esk51_0,esk50_0)
      & strictorderedP(esk50_0)
      & ( ~ ssList(X255)
        | ~ neq(esk50_0,X255)
        | ~ segmentP(esk51_0,X255)
        | ~ segmentP(X255,esk50_0)
        | ~ strictorderedP(X255) )
      & ssItem(esk52_0)
      & memberP(esk48_0,esk52_0)
      & ~ memberP(esk49_0,esk52_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_13])])])])]) ).

fof(c_0_15,plain,
    ! [X20,X21,X23] :
      ( ( ssList(esk6_2(X20,X21))
        | ~ frontsegP(X20,X21)
        | ~ ssList(X21)
        | ~ ssList(X20) )
      & ( app(X21,esk6_2(X20,X21)) = X20
        | ~ frontsegP(X20,X21)
        | ~ ssList(X21)
        | ~ ssList(X20) )
      & ( ~ ssList(X23)
        | app(X21,X23) != X20
        | frontsegP(X20,X21)
        | ~ ssList(X21)
        | ~ ssList(X20) ) ),
    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_16,plain,
    ! [X130,X131] :
      ( ~ ssList(X130)
      | ~ ssList(X131)
      | ssList(app(X130,X131)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).

fof(c_0_17,plain,
    ! [X11,X12,X15,X16] :
      ( ( ssList(esk3_2(X11,X12))
        | ~ memberP(X11,X12)
        | ~ ssItem(X12)
        | ~ ssList(X11) )
      & ( ssList(esk4_2(X11,X12))
        | ~ memberP(X11,X12)
        | ~ ssItem(X12)
        | ~ ssList(X11) )
      & ( app(esk3_2(X11,X12),cons(X12,esk4_2(X11,X12))) = X11
        | ~ memberP(X11,X12)
        | ~ ssItem(X12)
        | ~ ssList(X11) )
      & ( ~ ssList(X15)
        | ~ ssList(X16)
        | app(X15,cons(X12,X16)) != X11
        | memberP(X11,X12)
        | ~ ssItem(X12)
        | ~ ssList(X11) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])]) ).

cnf(c_0_18,negated_conjecture,
    memberP(esk48_0,esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,plain,
    ( frontsegP(X3,X2)
    | ~ ssList(X1)
    | app(X2,X1) != X3
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,plain,
    ( app(esk3_2(X1,X2),cons(X2,esk4_2(X1,X2))) = X1
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    memberP(esk50_0,esk52_0),
    inference(rw,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_20,c_0_19]) ).

cnf(c_0_26,negated_conjecture,
    ssItem(esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_27,plain,
    ( ssList(esk3_2(X1,X2))
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_28,plain,
    ( frontsegP(app(X1,X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_21]),c_0_22]) ).

cnf(c_0_29,negated_conjecture,
    app(esk3_2(esk50_0,esk52_0),cons(esk52_0,esk4_2(esk50_0,esk52_0))) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).

cnf(c_0_30,negated_conjecture,
    ssList(esk3_2(esk50_0,esk52_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_24]),c_0_25]),c_0_26])]) ).

fof(c_0_31,plain,
    ! [X111,X112] :
      ( ~ ssList(X111)
      | ~ ssItem(X112)
      | ssList(cons(X112,X111)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).

cnf(c_0_32,plain,
    ( ssList(esk4_2(X1,X2))
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_33,plain,
    ! [X179,X180,X181] :
      ( ~ ssList(X179)
      | ~ ssList(X180)
      | ~ ssList(X181)
      | ~ rearsegP(X179,X180)
      | rearsegP(app(X181,X179),X180) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])])]) ).

fof(c_0_34,plain,
    ! [X182] :
      ( ~ ssList(X182)
      | rearsegP(X182,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax51])]) ).

cnf(c_0_35,negated_conjecture,
    ( frontsegP(esk50_0,esk3_2(esk50_0,esk52_0))
    | ~ ssList(cons(esk52_0,esk4_2(esk50_0,esk52_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).

cnf(c_0_36,plain,
    ( ssList(cons(X2,X1))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_37,negated_conjecture,
    ssList(esk4_2(esk50_0,esk52_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_24]),c_0_25]),c_0_26])]) ).

cnf(c_0_38,plain,
    ( rearsegP(app(X3,X1),X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ rearsegP(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_39,plain,
    ( rearsegP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_40,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_41,plain,
    ( app(X1,esk6_2(X2,X1)) = X2
    | ~ frontsegP(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_42,negated_conjecture,
    frontsegP(esk50_0,esk3_2(esk50_0,esk52_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_26])]) ).

cnf(c_0_43,plain,
    ( ssList(esk6_2(X1,X2))
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_44,plain,
    ! [X24,X25,X27] :
      ( ( ssList(esk7_2(X24,X25))
        | ~ rearsegP(X24,X25)
        | ~ ssList(X25)
        | ~ ssList(X24) )
      & ( app(esk7_2(X24,X25),X25) = X24
        | ~ rearsegP(X24,X25)
        | ~ ssList(X25)
        | ~ ssList(X24) )
      & ( ~ ssList(X27)
        | app(X27,X25) != X24
        | rearsegP(X24,X25)
        | ~ ssList(X25)
        | ~ ssList(X24) ) ),
    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_45,plain,
    ( rearsegP(app(X1,X2),nil)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).

cnf(c_0_46,negated_conjecture,
    app(esk3_2(esk50_0,esk52_0),esk6_2(esk50_0,esk3_2(esk50_0,esk52_0))) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_25]),c_0_30])]) ).

cnf(c_0_47,negated_conjecture,
    ssList(esk6_2(esk50_0,esk3_2(esk50_0,esk52_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_42]),c_0_30]),c_0_25])]) ).

fof(c_0_48,plain,
    ! [X227] :
      ( ~ ssList(X227)
      | app(X227,nil) = X227 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).

cnf(c_0_49,plain,
    ( app(esk7_2(X1,X2),X2) = X1
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_50,negated_conjecture,
    rearsegP(esk50_0,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_30]),c_0_47])]) ).

cnf(c_0_51,plain,
    ( ssList(esk7_2(X1,X2))
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

fof(c_0_52,plain,
    ! [X222,X223,X224] :
      ( ~ ssList(X222)
      | ~ ssList(X223)
      | ~ ssList(X224)
      | app(app(X222,X223),X224) = app(X222,app(X223,X224)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).

cnf(c_0_53,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_54,negated_conjecture,
    app(esk7_2(esk50_0,nil),nil) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_40]),c_0_25])]) ).

cnf(c_0_55,negated_conjecture,
    ssList(esk7_2(esk50_0,nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_50]),c_0_40]),c_0_25])]) ).

fof(c_0_56,plain,
    ! [X151,X152,X153] :
      ( ( ~ memberP(app(X152,X153),X151)
        | memberP(X152,X151)
        | memberP(X153,X151)
        | ~ ssList(X153)
        | ~ ssList(X152)
        | ~ ssItem(X151) )
      & ( ~ memberP(X152,X151)
        | memberP(app(X152,X153),X151)
        | ~ ssList(X153)
        | ~ ssList(X152)
        | ~ ssItem(X151) )
      & ( ~ memberP(X153,X151)
        | memberP(app(X152,X153),X151)
        | ~ ssList(X153)
        | ~ ssList(X152)
        | ~ ssItem(X151) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])])]) ).

cnf(c_0_57,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_58,negated_conjecture,
    esk7_2(esk50_0,nil) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).

cnf(c_0_59,plain,
    ( memberP(app(X3,X1),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_60,plain,
    ( ssList(app(X1,app(X2,X3)))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_57]),c_0_22]) ).

cnf(c_0_61,negated_conjecture,
    app(esk50_0,nil) = esk50_0,
    inference(rw,[status(thm)],[c_0_54,c_0_58]) ).

fof(c_0_62,plain,
    ! [X28,X29,X32,X33] :
      ( ( ssList(esk8_2(X28,X29))
        | ~ segmentP(X28,X29)
        | ~ ssList(X29)
        | ~ ssList(X28) )
      & ( ssList(esk9_2(X28,X29))
        | ~ segmentP(X28,X29)
        | ~ ssList(X29)
        | ~ ssList(X28) )
      & ( app(app(esk8_2(X28,X29),X29),esk9_2(X28,X29)) = X28
        | ~ segmentP(X28,X29)
        | ~ ssList(X29)
        | ~ ssList(X28) )
      & ( ~ ssList(X32)
        | ~ ssList(X33)
        | app(app(X32,X29),X33) != X28
        | segmentP(X28,X29)
        | ~ ssList(X29)
        | ~ ssList(X28) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])]) ).

cnf(c_0_63,negated_conjecture,
    ssList(esk49_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_64,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_65,plain,
    ( memberP(app(X1,X3),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_66,negated_conjecture,
    ( memberP(app(X1,esk50_0),esk52_0)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_24]),c_0_25]),c_0_26])]) ).

cnf(c_0_67,negated_conjecture,
    ( ssList(app(X1,esk50_0))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_40]),c_0_25])]) ).

cnf(c_0_68,plain,
    ( app(app(esk8_2(X1,X2),X2),esk9_2(X1,X2)) = X1
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_69,negated_conjecture,
    segmentP(esk51_0,esk50_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_70,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_71,plain,
    ( ssList(esk9_2(X1,X2))
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_72,plain,
    ( ssList(esk8_2(X1,X2))
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_73,negated_conjecture,
    ~ memberP(esk49_0,esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_74,negated_conjecture,
    ( memberP(app(app(X1,esk50_0),X2),esk52_0)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_26])]),c_0_67]) ).

cnf(c_0_75,negated_conjecture,
    app(app(esk8_2(esk51_0,esk50_0),esk50_0),esk9_2(esk51_0,esk50_0)) = esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_25]),c_0_70])]) ).

cnf(c_0_76,negated_conjecture,
    ssList(esk9_2(esk51_0,esk50_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_69]),c_0_25]),c_0_70])]) ).

cnf(c_0_77,negated_conjecture,
    ssList(esk8_2(esk51_0,esk50_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_69]),c_0_25]),c_0_70])]) ).

cnf(c_0_78,negated_conjecture,
    ~ memberP(esk51_0,esk52_0),
    inference(rw,[status(thm)],[c_0_73,c_0_64]) ).

cnf(c_0_79,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_77])]),c_0_78]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC403+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 11 22:27:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 10.70/2.75  # ENIGMATIC: Solved by autoschedule:
% 10.70/2.75  # No SInE strategy applied
% 10.70/2.75  # Trying AutoSched0 for 150 seconds
% 10.70/2.75  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 10.70/2.75  # and selection function SelectNewComplexAHP.
% 10.70/2.75  #
% 10.70/2.75  # Preprocessing time       : 0.035 s
% 10.70/2.75  # Presaturation interreduction done
% 10.70/2.75  
% 10.70/2.75  # Proof found!
% 10.70/2.75  # SZS status Theorem
% 10.70/2.75  # SZS output start CNFRefutation
% See solution above
% 10.70/2.75  # Training examples: 0 positive, 0 negative
% 10.70/2.75  
% 10.70/2.75  # -------------------------------------------------
% 10.70/2.75  # User time                : 0.501 s
% 10.70/2.75  # System time              : 0.018 s
% 10.70/2.75  # Total time               : 0.519 s
% 10.70/2.75  # Maximum resident set size: 7116 pages
% 10.70/2.75  
%------------------------------------------------------------------------------