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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEU550^1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:24:28 AM UTC 2026

% Result   : Theorem 0.23s 0.30s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   60
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   86 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :  559 (  92 equ;   0 cnn)
%            Maximal formula atoms :  100 (   6 avg)
%            Number of connectives :  917 ( 103   ~; 190   |;  79   &; 331   @)
%                                         (   6 <=>; 208  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   82 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   75 (  73 usr;  69 con; 0-2 aty)
%            Number of variables   :  105 (   6   ^;  95   !;   4   ?; 105   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_24,type,
    exu: ( $i > $o ) > $o ).

thf(decl_25,type,
    setextAx: $o ).

thf(decl_27,type,
    emptysetAx: $o ).

thf(decl_29,type,
    setadjoinAx: $o ).

thf(decl_31,type,
    powersetAx: $o ).

thf(decl_33,type,
    setunionAx: $o ).

thf(decl_35,type,
    omega0Ax: $o ).

thf(decl_36,type,
    omegaSAx: $o ).

thf(decl_37,type,
    omegaIndAx: $o ).

thf(decl_38,type,
    replAx: $o ).

thf(decl_39,type,
    foundationAx: $o ).

thf(decl_40,type,
    wellorderingAx: $o ).

thf(decl_42,type,
    descrp: $o ).

thf(decl_44,type,
    dsetconstrI: $o ).

thf(decl_45,type,
    dsetconstrEL: $o ).

thf(decl_46,type,
    dsetconstrER: $o ).

thf(decl_47,type,
    exuE1: $o ).

thf(decl_49,type,
    prop2setE: $o ).

thf(decl_50,type,
    emptysetE: $o ).

thf(decl_51,type,
    emptysetimpfalse: $o ).

thf(decl_52,type,
    notinemptyset: $o ).

thf(decl_53,type,
    exuE3e: $o ).

thf(decl_54,type,
    setext: $o ).

thf(decl_55,type,
    emptyI: $o ).

thf(decl_56,type,
    noeltsimpempty: $o ).

thf(decl_57,type,
    setbeta: $o ).

thf(decl_59,type,
    nonemptyE1: $o ).

thf(decl_60,type,
    nonemptyI: $o ).

thf(decl_61,type,
    nonemptyI1: $o ).

thf(decl_62,type,
    setadjoinIL: $o ).

thf(decl_63,type,
    emptyinunitempty: $o ).

thf(decl_64,type,
    setadjoinIR: $o ).

thf(decl_65,type,
    setadjoinE: $o ).

thf(decl_66,type,
    setadjoinOr: $o ).

thf(decl_67,type,
    setoftrueEq: $o ).

thf(decl_68,type,
    powersetI: $o ).

thf(decl_69,type,
    emptyinPowerset: $o ).

thf(decl_70,type,
    emptyInPowerset: $o ).

thf(decl_71,type,
    powersetE: $o ).

thf(decl_72,type,
    setunionI: $o ).

thf(decl_73,type,
    setunionE: $o ).

thf(decl_74,type,
    subPowSU: $o ).

thf(decl_75,type,
    exuE2: $o ).

thf(decl_76,type,
    nonemptyImpWitness: $o ).

thf(decl_77,type,
    uniqinunit: $o ).

thf(decl_78,type,
    notinsingleton: $o ).

thf(decl_79,type,
    eqinunit: $o ).

thf(decl_80,type,
    singletonsswitch: $o ).

thf(decl_81,type,
    upairsetE: $o ).

thf(decl_82,type,
    upairsetIL: $o ).

thf(decl_83,type,
    upairsetIR: $o ).

thf(decl_84,type,
    emptyE1: $o ).

thf(decl_85,type,
    vacuousDall: $o ).

thf(decl_86,type,
    quantDeMorgan1: $o ).

thf(decl_87,type,
    quantDeMorgan2: $o ).

thf(decl_88,type,
    quantDeMorgan3: $o ).

thf(decl_89,type,
    quantDeMorgan4: $o ).

thf(decl_90,type,
    prop2setI: $o ).

thf(decl_92,type,
    prop2set2propI: $o ).

thf(decl_93,type,
    notdexE: $o ).

thf(decl_94,type,
    notdallE: $o ).

thf(decl_95,type,
    exuI1: $o ).

thf(decl_96,type,
    exuI3: $o ).

thf(decl_97,type,
    exuI2: $o ).

thf(decl_98,type,
    inCongP: $o ).

thf(decl_99,type,
    in__Cong: $o ).

thf(decl_100,type,
    exuE3u: $o ).

thf(decl_101,type,
    epred1_0: $i > $o ).

thf(decl_102,type,
    epred2_0: $i > $o ).

thf(decl_103,type,
    esk1_1: $i > $i ).

thf(decl_104,type,
    esk2_1: $i > $i ).

thf(decl_105,type,
    esk3_0: $i ).

thf(decl_106,type,
    esk4_0: $i ).

thf(exu__Cong,conjecture,
    ( setextAx
   => ( emptysetAx
     => ( setadjoinAx
       => ( powersetAx
         => ( setunionAx
           => ( omega0Ax
             => ( omegaSAx
               => ( omegaIndAx
                 => ( replAx
                   => ( foundationAx
                     => ( wellorderingAx
                       => ( descrp
                         => ( dsetconstrI
                           => ( dsetconstrEL
                             => ( dsetconstrER
                               => ( exuE1
                                 => ( prop2setE
                                   => ( emptysetE
                                     => ( emptysetimpfalse
                                       => ( notinemptyset
                                         => ( exuE3e
                                           => ( setext
                                             => ( emptyI
                                               => ( noeltsimpempty
                                                 => ( setbeta
                                                   => ( nonemptyE1
                                                     => ( nonemptyI
                                                       => ( nonemptyI1
                                                         => ( setadjoinIL
                                                           => ( emptyinunitempty
                                                             => ( setadjoinIR
                                                               => ( setadjoinE
                                                                 => ( setadjoinOr
                                                                   => ( setoftrueEq
                                                                     => ( powersetI
                                                                       => ( emptyinPowerset
                                                                         => ( emptyInPowerset
                                                                           => ( powersetE
                                                                             => ( setunionI
                                                                               => ( setunionE
                                                                                 => ( subPowSU
                                                                                   => ( exuE2
                                                                                     => ( nonemptyImpWitness
                                                                                       => ( uniqinunit
                                                                                         => ( notinsingleton
                                                                                           => ( eqinunit
                                                                                             => ( singletonsswitch
                                                                                               => ( upairsetE
                                                                                                 => ( upairsetIL
                                                                                                   => ( upairsetIR
                                                                                                     => ( emptyE1
                                                                                                       => ( vacuousDall
                                                                                                         => ( quantDeMorgan1
                                                                                                           => ( quantDeMorgan2
                                                                                                             => ( quantDeMorgan3
                                                                                                               => ( quantDeMorgan4
                                                                                                                 => ( prop2setI
                                                                                                                   => ( prop2set2propI
                                                                                                                     => ( notdexE
                                                                                                                       => ( notdallE
                                                                                                                         => ( exuI1
                                                                                                                           => ( exuI3
                                                                                                                             => ( exuI2
                                                                                                                               => ( inCongP
                                                                                                                                 => ( in__Cong
                                                                                                                                   => ( exuE3u
                                                                                                                                     => ! [X1: $i > $o,X17: $i > $o] :
                                                                                                                                          ( ! [X2: $i,X3: $i] :
                                                                                                                                              ( ( X2 = X3 )
                                                                                                                                             => ( ( X1 @ X2 )
                                                                                                                                              <=> ( X17 @ X3 ) ) )
                                                                                                                                         => ( ( exu
                                                                                                                                              @ ^ [X2: $i] : ( X1 @ X2 ) )
                                                                                                                                          <=> ( exu
                                                                                                                                              @ ^ [X2: $i] : ( X17 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.gVI7ZPjtEX/E---3.1_102201.p',exu__Cong) ).

thf(exu,axiom,
    ( exu
    = ( ^ [X1: $i > $o] :
        ? [X2: $i] :
          ( ( X1 @ X2 )
          & ! [X3: $i] :
              ( ( X1 @ X3 )
             => ( X2 = X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.gVI7ZPjtEX/E---3.1_102201.p',exu) ).

thf(c_0_2,negated_conjecture,
    ~ ( setextAx
     => ( emptysetAx
       => ( setadjoinAx
         => ( powersetAx
           => ( setunionAx
             => ( omega0Ax
               => ( omegaSAx
                 => ( omegaIndAx
                   => ( replAx
                     => ( foundationAx
                       => ( wellorderingAx
                         => ( descrp
                           => ( dsetconstrI
                             => ( dsetconstrEL
                               => ( dsetconstrER
                                 => ( exuE1
                                   => ( prop2setE
                                     => ( emptysetE
                                       => ( emptysetimpfalse
                                         => ( notinemptyset
                                           => ( exuE3e
                                             => ( setext
                                               => ( emptyI
                                                 => ( noeltsimpempty
                                                   => ( setbeta
                                                     => ( nonemptyE1
                                                       => ( nonemptyI
                                                         => ( nonemptyI1
                                                           => ( setadjoinIL
                                                             => ( emptyinunitempty
                                                               => ( setadjoinIR
                                                                 => ( setadjoinE
                                                                   => ( setadjoinOr
                                                                     => ( setoftrueEq
                                                                       => ( powersetI
                                                                         => ( emptyinPowerset
                                                                           => ( emptyInPowerset
                                                                             => ( powersetE
                                                                               => ( setunionI
                                                                                 => ( setunionE
                                                                                   => ( subPowSU
                                                                                     => ( exuE2
                                                                                       => ( nonemptyImpWitness
                                                                                         => ( uniqinunit
                                                                                           => ( notinsingleton
                                                                                             => ( eqinunit
                                                                                               => ( singletonsswitch
                                                                                                 => ( upairsetE
                                                                                                   => ( upairsetIL
                                                                                                     => ( upairsetIR
                                                                                                       => ( emptyE1
                                                                                                         => ( vacuousDall
                                                                                                           => ( quantDeMorgan1
                                                                                                             => ( quantDeMorgan2
                                                                                                               => ( quantDeMorgan3
                                                                                                                 => ( quantDeMorgan4
                                                                                                                   => ( prop2setI
                                                                                                                     => ( prop2set2propI
                                                                                                                       => ( notdexE
                                                                                                                         => ( notdallE
                                                                                                                           => ( exuI1
                                                                                                                             => ( exuI3
                                                                                                                               => ( exuI2
                                                                                                                                 => ( inCongP
                                                                                                                                   => ( in__Cong
                                                                                                                                     => ( exuE3u
                                                                                                                                       => ! [X1: $i > $o,X17: $i > $o] :
                                                                                                                                            ( ! [X2: $i,X3: $i] :
                                                                                                                                                ( ( X2 = X3 )
                                                                                                                                               => ( ( X1 @ X2 )
                                                                                                                                                <=> ( X17 @ X3 ) ) )
                                                                                                                                           => ( ( exu
                                                                                                                                                @ ^ [X2: $i] : ( X1 @ X2 ) )
                                                                                                                                            <=> ( exu
                                                                                                                                                @ ^ [X2: $i] : ( X17 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[exu__Cong]) ).

thf(c_0_3,plain,
    ( exu
    = ( ^ [Z0: $i > $o] :
        ? [X2: $i] :
          ( ( Z0 @ X2 )
          & ! [X3: $i] :
              ( ( Z0 @ X3 )
             => ( X2 = X3 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[exu]) ).

thf(c_0_4,negated_conjecture,
    ~ ( setextAx
     => ( emptysetAx
       => ( setadjoinAx
         => ( powersetAx
           => ( setunionAx
             => ( omega0Ax
               => ( omegaSAx
                 => ( omegaIndAx
                   => ( replAx
                     => ( foundationAx
                       => ( wellorderingAx
                         => ( descrp
                           => ( dsetconstrI
                             => ( dsetconstrEL
                               => ( dsetconstrER
                                 => ( exuE1
                                   => ( prop2setE
                                     => ( emptysetE
                                       => ( emptysetimpfalse
                                         => ( notinemptyset
                                           => ( exuE3e
                                             => ( setext
                                               => ( emptyI
                                                 => ( noeltsimpempty
                                                   => ( setbeta
                                                     => ( nonemptyE1
                                                       => ( nonemptyI
                                                         => ( nonemptyI1
                                                           => ( setadjoinIL
                                                             => ( emptyinunitempty
                                                               => ( setadjoinIR
                                                                 => ( setadjoinE
                                                                   => ( setadjoinOr
                                                                     => ( setoftrueEq
                                                                       => ( powersetI
                                                                         => ( emptyinPowerset
                                                                           => ( emptyInPowerset
                                                                             => ( powersetE
                                                                               => ( setunionI
                                                                                 => ( setunionE
                                                                                   => ( subPowSU
                                                                                     => ( exuE2
                                                                                       => ( nonemptyImpWitness
                                                                                         => ( uniqinunit
                                                                                           => ( notinsingleton
                                                                                             => ( eqinunit
                                                                                               => ( singletonsswitch
                                                                                                 => ( upairsetE
                                                                                                   => ( upairsetIL
                                                                                                     => ( upairsetIR
                                                                                                       => ( emptyE1
                                                                                                         => ( vacuousDall
                                                                                                           => ( quantDeMorgan1
                                                                                                             => ( quantDeMorgan2
                                                                                                               => ( quantDeMorgan3
                                                                                                                 => ( quantDeMorgan4
                                                                                                                   => ( prop2setI
                                                                                                                     => ( prop2set2propI
                                                                                                                       => ( notdexE
                                                                                                                         => ( notdallE
                                                                                                                           => ( exuI1
                                                                                                                             => ( exuI3
                                                                                                                               => ( exuI2
                                                                                                                                 => ( inCongP
                                                                                                                                   => ( in__Cong
                                                                                                                                     => ( exuE3u
                                                                                                                                       => ! [X1: $i > $o,X17: $i > $o] :
                                                                                                                                            ( ! [X2: $i,X3: $i] :
                                                                                                                                                ( ( X2 = X3 )
                                                                                                                                               => ( ( X1 @ X2 )
                                                                                                                                                <=> ( X17 @ X3 ) ) )
                                                                                                                                           => ( ? [X22: $i] :
                                                                                                                                                  ( ( X1 @ X22 )
                                                                                                                                                  & ! [X23: $i] :
                                                                                                                                                      ( ( X1 @ X23 )
                                                                                                                                                     => ( X22 = X23 ) ) )
                                                                                                                                            <=> ? [X24: $i] :
                                                                                                                                                  ( ( X17 @ X24 )
                                                                                                                                                  & ! [X25: $i] :
                                                                                                                                                      ( ( X17 @ X25 )
                                                                                                                                                     => ( X24 = X25 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2]),c_0_3]) ).

thf(c_0_5,negated_conjecture,
    ! [X28: $i,X29: $i,X30: $i,X32: $i,X35: $i,X37: $i] :
      ( setextAx
      & emptysetAx
      & setadjoinAx
      & powersetAx
      & setunionAx
      & omega0Ax
      & omegaSAx
      & omegaIndAx
      & replAx
      & foundationAx
      & wellorderingAx
      & descrp
      & dsetconstrI
      & dsetconstrEL
      & dsetconstrER
      & exuE1
      & prop2setE
      & emptysetE
      & emptysetimpfalse
      & notinemptyset
      & exuE3e
      & setext
      & emptyI
      & noeltsimpempty
      & setbeta
      & nonemptyE1
      & nonemptyI
      & nonemptyI1
      & setadjoinIL
      & emptyinunitempty
      & setadjoinIR
      & setadjoinE
      & setadjoinOr
      & setoftrueEq
      & powersetI
      & emptyinPowerset
      & emptyInPowerset
      & powersetE
      & setunionI
      & setunionE
      & subPowSU
      & exuE2
      & nonemptyImpWitness
      & uniqinunit
      & notinsingleton
      & eqinunit
      & singletonsswitch
      & upairsetE
      & upairsetIL
      & upairsetIR
      & emptyE1
      & vacuousDall
      & quantDeMorgan1
      & quantDeMorgan2
      & quantDeMorgan3
      & quantDeMorgan4
      & prop2setI
      & prop2set2propI
      & notdexE
      & notdallE
      & exuI1
      & exuI3
      & exuI2
      & inCongP
      & in__Cong
      & exuE3u
      & ( ~ ( epred1_0 @ X28 )
        | ( epred2_0 @ X29 )
        | ( X28 != X29 ) )
      & ( ~ ( epred2_0 @ X29 )
        | ( epred1_0 @ X28 )
        | ( X28 != X29 ) )
      & ( ( epred2_0 @ ( esk2_1 @ X32 ) )
        | ~ ( epred2_0 @ X32 )
        | ( epred1_0 @ ( esk1_1 @ X30 ) )
        | ~ ( epred1_0 @ X30 ) )
      & ( ( X32
         != ( esk2_1 @ X32 ) )
        | ~ ( epred2_0 @ X32 )
        | ( epred1_0 @ ( esk1_1 @ X30 ) )
        | ~ ( epred1_0 @ X30 ) )
      & ( ( epred2_0 @ ( esk2_1 @ X32 ) )
        | ~ ( epred2_0 @ X32 )
        | ( X30
         != ( esk1_1 @ X30 ) )
        | ~ ( epred1_0 @ X30 ) )
      & ( ( X32
         != ( esk2_1 @ X32 ) )
        | ~ ( epred2_0 @ X32 )
        | ( X30
         != ( esk1_1 @ X30 ) )
        | ~ ( epred1_0 @ X30 ) )
      & ( ( epred2_0 @ esk4_0 )
        | ( epred1_0 @ esk3_0 ) )
      & ( ~ ( epred2_0 @ X37 )
        | ( esk4_0 = X37 )
        | ( epred1_0 @ esk3_0 ) )
      & ( ( epred2_0 @ esk4_0 )
        | ~ ( epred1_0 @ X35 )
        | ( esk3_0 = X35 ) )
      & ( ~ ( epred2_0 @ X37 )
        | ( esk4_0 = X37 )
        | ~ ( epred1_0 @ X35 )
        | ( esk3_0 = X35 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])]) ).

thf(c_0_6,negated_conjecture,
    ! [X3: $i,X2: $i] :
      ( ( epred1_0 @ X3 )
      | ~ ( epred2_0 @ X2 )
      | ( X3 != X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_7,negated_conjecture,
    ! [X2: $i] :
      ( ( epred1_0 @ X2 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(er,[status(thm)],[c_0_6]) ).

thf(c_0_8,negated_conjecture,
    ( ( epred2_0 @ esk4_0 )
    | ( epred1_0 @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_9,negated_conjecture,
    ! [X2: $i,X3: $i] :
      ( ( epred2_0 @ ( esk2_1 @ X2 ) )
      | ( epred1_0 @ ( esk1_1 @ X3 ) )
      | ~ ( epred2_0 @ X2 )
      | ~ ( epred1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_10,negated_conjecture,
    ( ( epred1_0 @ esk3_0 )
    | ( epred1_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

thf(c_0_11,negated_conjecture,
    ! [X2: $i,X3: $i] :
      ( ( epred2_0 @ X3 )
      | ~ ( epred1_0 @ X2 )
      | ( X2 != X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_12,negated_conjecture,
    ! [X2: $i] :
      ( ( esk4_0 = X2 )
      | ( epred1_0 @ esk3_0 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_13,negated_conjecture,
    ! [X2: $i] :
      ( ( epred1_0 @ ( esk1_1 @ esk4_0 ) )
      | ( epred2_0 @ ( esk2_1 @ X2 ) )
      | ( epred1_0 @ esk3_0 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

thf(c_0_14,negated_conjecture,
    ! [X2: $i] :
      ( ( epred2_0 @ X2 )
      | ~ ( epred1_0 @ X2 ) ),
    inference(er,[status(thm)],[c_0_11]) ).

thf(c_0_15,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk2_1 @ X2 )
        = esk4_0 )
      | ( epred1_0 @ ( esk1_1 @ esk4_0 ) )
      | ( epred1_0 @ esk3_0 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

thf(c_0_16,negated_conjecture,
    ! [X2: $i] :
      ( ( esk4_0 = X2 )
      | ( epred1_0 @ esk3_0 )
      | ~ ( epred1_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_12,c_0_14]) ).

thf(c_0_17,negated_conjecture,
    ( ( ( esk2_1 @ esk4_0 )
      = esk4_0 )
    | ( epred1_0 @ ( esk1_1 @ esk4_0 ) )
    | ( epred1_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_15,c_0_8]) ).

thf(c_0_18,negated_conjecture,
    ! [X2: $i,X3: $i] :
      ( ( epred1_0 @ ( esk1_1 @ X3 ) )
      | ( X2
       != ( esk2_1 @ X2 ) )
      | ~ ( epred2_0 @ X2 )
      | ~ ( epred1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_19,negated_conjecture,
    ( ( ( esk2_1 @ esk4_0 )
      = esk4_0 )
    | ( ( esk1_1 @ esk4_0 )
      = esk4_0 )
    | ( epred1_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

thf(c_0_20,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk1_1 @ esk4_0 )
        = esk4_0 )
      | ( epred1_0 @ ( esk1_1 @ X2 ) )
      | ( epred1_0 @ esk3_0 )
      | ~ ( epred1_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_8]) ).

thf(c_0_21,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk1_1 @ esk4_0 )
        = esk4_0 )
      | ( ( esk1_1 @ X2 )
        = esk4_0 )
      | ( epred1_0 @ esk3_0 )
      | ~ ( epred1_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_20]) ).

thf(c_0_22,negated_conjecture,
    ! [X2: $i,X3: $i] :
      ( ( epred2_0 @ ( esk2_1 @ X2 ) )
      | ~ ( epred2_0 @ X2 )
      | ( X3
       != ( esk1_1 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_23,negated_conjecture,
    ( ( ( esk1_1 @ esk4_0 )
      = esk4_0 )
    | ( epred1_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_21,c_0_10]) ).

thf(c_0_24,negated_conjecture,
    ! [X2: $i,X3: $i] :
      ( ( X2
       != ( esk2_1 @ X2 ) )
      | ~ ( epred2_0 @ X2 )
      | ( X3
       != ( esk1_1 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_25,negated_conjecture,
    ! [X2: $i] :
      ( ( epred2_0 @ ( esk2_1 @ X2 ) )
      | ( epred1_0 @ esk3_0 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_10]) ).

thf(c_0_26,negated_conjecture,
    ! [X2: $i] :
      ( ( epred1_0 @ esk3_0 )
      | ( ( esk2_1 @ X2 )
       != X2 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_23]),c_0_10]) ).

thf(c_0_27,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk2_1 @ X2 )
        = esk4_0 )
      | ( epred1_0 @ esk3_0 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_12,c_0_25]) ).

thf(c_0_28,negated_conjecture,
    epred1_0 @ esk3_0,
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27])]),c_0_8]) ).

thf(c_0_29,negated_conjecture,
    ! [X2: $i] :
      ( ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
      | ( epred2_0 @ ( esk2_1 @ X2 ) )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_28]) ).

thf(c_0_30,negated_conjecture,
    ! [X2: $i] :
      ( ( epred2_0 @ esk4_0 )
      | ( esk3_0 = X2 )
      | ~ ( epred1_0 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_31,negated_conjecture,
    ! [X2: $i] :
      ( ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
      | ( epred1_0 @ ( esk2_1 @ X2 ) )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_7,c_0_29]) ).

thf(c_0_32,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk2_1 @ X2 )
        = esk3_0 )
      | ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
      | ( epred2_0 @ esk4_0 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

thf(c_0_33,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk2_1 @ ( esk2_1 @ X2 ) )
        = esk3_0 )
      | ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
      | ( epred2_0 @ esk4_0 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_32,c_0_29]) ).

thf(c_0_34,negated_conjecture,
    ! [X2: $i] :
      ( ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
      | ( epred2_0 @ esk4_0 )
      | ( epred2_0 @ esk3_0 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_33]),c_0_29]) ).

thf(c_0_35,negated_conjecture,
    ! [X2: $i] :
      ( ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
      | ( epred2_0 @ esk3_0 )
      | ( epred2_0 @ esk4_0 )
      | ~ ( epred1_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_34,c_0_14]) ).

thf(c_0_36,negated_conjecture,
    ( ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
    | ( epred2_0 @ esk4_0 )
    | ( epred2_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_35,c_0_28]) ).

thf(c_0_37,negated_conjecture,
    ( ( ( esk1_1 @ esk3_0 )
      = esk3_0 )
    | ( epred2_0 @ esk3_0 )
    | ( epred2_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_36]) ).

thf(c_0_38,negated_conjecture,
    ! [X2: $i] :
      ( ( epred2_0 @ ( esk2_1 @ X2 ) )
      | ( epred2_0 @ esk4_0 )
      | ( epred2_0 @ esk3_0 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_37]),c_0_28])]) ).

thf(c_0_39,negated_conjecture,
    ! [X2: $i] :
      ( ( epred1_0 @ ( esk2_1 @ X2 ) )
      | ( epred2_0 @ esk3_0 )
      | ( epred2_0 @ esk4_0 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_7,c_0_38]) ).

thf(c_0_40,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk2_1 @ X2 )
        = esk3_0 )
      | ( epred2_0 @ esk3_0 )
      | ( epred2_0 @ esk4_0 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_39]) ).

thf(c_0_41,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk2_1 @ X2 )
        = esk3_0 )
      | ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
      | ( epred2_0 @ esk4_0 )
      | ~ ( epred1_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_32,c_0_14]) ).

thf(c_0_42,negated_conjecture,
    ! [X2: $i] :
      ( ( epred2_0 @ esk4_0 )
      | ( epred2_0 @ esk3_0 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_38,c_0_40]) ).

thf(c_0_43,negated_conjecture,
    ( ( ( esk2_1 @ esk3_0 )
      = esk3_0 )
    | ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
    | ( epred2_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_41,c_0_28]) ).

thf(c_0_44,negated_conjecture,
    ! [X2: $i] :
      ( ( epred2_0 @ esk3_0 )
      | ( epred2_0 @ esk4_0 )
      | ~ ( epred1_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_42,c_0_14]) ).

thf(c_0_45,negated_conjecture,
    ( ( ( esk2_1 @ esk3_0 )
      = esk3_0 )
    | ( ( esk1_1 @ esk3_0 )
      = esk3_0 )
    | ( epred2_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_43]) ).

thf(c_0_46,negated_conjecture,
    ( ( epred2_0 @ esk4_0 )
    | ( epred2_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_44,c_0_28]) ).

thf(c_0_47,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk1_1 @ esk3_0 )
        = esk3_0 )
      | ( epred1_0 @ ( esk1_1 @ X2 ) )
      | ( epred2_0 @ esk4_0 )
      | ~ ( epred1_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_45]),c_0_46]) ).

thf(c_0_48,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk1_1 @ esk3_0 )
        = esk3_0 )
      | ( ( esk1_1 @ X2 )
        = esk3_0 )
      | ( epred2_0 @ esk4_0 )
      | ~ ( epred1_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_47]) ).

thf(c_0_49,negated_conjecture,
    ( ( ( esk1_1 @ esk3_0 )
      = esk3_0 )
    | ( epred2_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_48,c_0_28]) ).

thf(c_0_50,negated_conjecture,
    ! [X2: $i] :
      ( ( epred2_0 @ ( esk2_1 @ X2 ) )
      | ( epred2_0 @ esk4_0 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_49]),c_0_28])]) ).

thf(c_0_51,negated_conjecture,
    ! [X2: $i] :
      ( ( epred1_0 @ ( esk2_1 @ X2 ) )
      | ( epred2_0 @ esk4_0 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_7,c_0_50]) ).

thf(c_0_52,negated_conjecture,
    ! [X2: $i] :
      ( ( epred2_0 @ esk4_0 )
      | ( ( esk2_1 @ X2 )
       != X2 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_49]),c_0_28])]) ).

thf(c_0_53,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk2_1 @ X2 )
        = esk3_0 )
      | ( epred2_0 @ esk4_0 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_51]) ).

thf(c_0_54,negated_conjecture,
    epred2_0 @ esk4_0,
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53])]),c_0_46]) ).

thf(c_0_55,negated_conjecture,
    ! [X2: $i,X3: $i] :
      ( ( esk4_0 = X2 )
      | ( esk3_0 = X3 )
      | ~ ( epred2_0 @ X2 )
      | ~ ( epred1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_56,negated_conjecture,
    epred1_0 @ esk4_0,
    inference(spm,[status(thm)],[c_0_7,c_0_54]) ).

thf(c_0_57,negated_conjecture,
    ! [X2: $i] :
      ( ( esk4_0 = esk3_0 )
      | ( esk4_0 = X2 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

thf(c_0_58,negated_conjecture,
    ! [X3: $i,X2: $i] :
      ( ( ( esk2_1 @ X2 )
        = esk3_0 )
      | ( esk4_0 = X3 )
      | ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
      | ~ ( epred2_0 @ X3 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_55,c_0_31]) ).

thf(c_0_59,negated_conjecture,
    ! [X2: $i] :
      ( ( esk4_0 = esk3_0 )
      | ( esk4_0 = X2 )
      | ~ ( epred1_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_57,c_0_14]) ).

thf(c_0_60,negated_conjecture,
    ! [X3: $i,X2: $i] :
      ( ( ( esk2_1 @ X2 )
        = esk4_0 )
      | ( ( esk2_1 @ X3 )
        = esk3_0 )
      | ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
      | ~ ( epred2_0 @ X3 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_58,c_0_29]) ).

thf(c_0_61,negated_conjecture,
    esk4_0 = esk3_0,
    inference(spm,[status(thm)],[c_0_59,c_0_28]) ).

thf(c_0_62,negated_conjecture,
    ! [X2: $i,X3: $i] :
      ( ( ( esk2_1 @ X2 )
        = esk3_0 )
      | ( ( esk2_1 @ X3 )
        = esk3_0 )
      | ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
      | ~ ( epred2_0 @ X2 )
      | ~ ( epred2_0 @ X3 ) ),
    inference(rw,[status(thm)],[c_0_60,c_0_61]) ).

thf(c_0_63,negated_conjecture,
    ! [X2: $i,X3: $i] :
      ( ( ( esk2_1 @ X2 )
        = esk3_0 )
      | ( ( esk2_1 @ X3 )
        = esk3_0 )
      | ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
      | ~ ( epred2_0 @ X2 )
      | ~ ( epred1_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_62,c_0_14]) ).

thf(c_0_64,negated_conjecture,
    ! [X3: $i,X2: $i] :
      ( ( ( esk2_1 @ ( esk2_1 @ X2 ) )
        = esk3_0 )
      | ( ( esk2_1 @ X3 )
        = esk3_0 )
      | ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
      | ~ ( epred1_0 @ X3 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_63,c_0_29]) ).

thf(c_0_65,negated_conjecture,
    epred2_0 @ esk3_0,
    inference(rw,[status(thm)],[c_0_54,c_0_61]) ).

thf(c_0_66,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk2_1 @ ( esk2_1 @ esk3_0 ) )
        = esk3_0 )
      | ( ( esk2_1 @ X2 )
        = esk3_0 )
      | ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
      | ~ ( epred1_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

thf(c_0_67,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk2_1 @ ( esk2_1 @ esk3_0 ) )
        = esk3_0 )
      | ( ( esk2_1 @ ( esk2_1 @ X2 ) )
        = esk3_0 )
      | ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_66,c_0_31]) ).

thf(c_0_68,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk2_1 @ esk3_0 )
        = esk3_0 )
      | ( ( esk2_1 @ X2 )
        = esk3_0 )
      | ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_62,c_0_65]) ).

thf(c_0_69,negated_conjecture,
    ( ( ( esk2_1 @ ( esk2_1 @ esk3_0 ) )
      = esk3_0 )
    | ( epred1_0 @ ( esk1_1 @ esk3_0 ) ) ),
    inference(spm,[status(thm)],[c_0_67,c_0_65]) ).

thf(c_0_70,negated_conjecture,
    ( ( ( esk2_1 @ esk3_0 )
      = esk3_0 )
    | ( epred1_0 @ ( esk1_1 @ esk3_0 ) ) ),
    inference(spm,[status(thm)],[c_0_68,c_0_65]) ).

thf(c_0_71,negated_conjecture,
    ! [X2: $i] :
      ( ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
      | ( epred1_0 @ ( esk1_1 @ X2 ) )
      | ~ ( epred2_0 @ ( esk2_1 @ esk3_0 ) )
      | ~ ( epred1_0 @ X2 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_69]),c_0_70]) ).

thf(c_0_72,negated_conjecture,
    ! [X2: $i] :
      ( ( epred1_0 @ ( esk1_1 @ esk3_0 ) )
      | ( epred1_0 @ ( esk1_1 @ X2 ) )
      | ~ ( epred1_0 @ X2 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_29]),c_0_65])]) ).

thf(c_0_73,negated_conjecture,
    ! [X2: $i,X3: $i] :
      ( ( esk3_0 = X2 )
      | ( esk3_0 = X3 )
      | ~ ( epred1_0 @ X2 )
      | ~ ( epred2_0 @ X3 ) ),
    inference(rw,[status(thm)],[c_0_55,c_0_61]) ).

thf(c_0_74,negated_conjecture,
    epred1_0 @ ( esk1_1 @ esk3_0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_28]) ).

thf(c_0_75,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk1_1 @ esk3_0 )
        = esk3_0 )
      | ( esk3_0 = X2 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

thf(c_0_76,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk1_1 @ esk3_0 )
        = esk3_0 )
      | ( esk3_0 = X2 )
      | ~ ( epred1_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_75,c_0_14]) ).

thf(c_0_77,negated_conjecture,
    ( ( esk1_1 @ esk3_0 )
    = esk3_0 ),
    inference(spm,[status(thm)],[c_0_76,c_0_74]) ).

thf(c_0_78,negated_conjecture,
    ! [X2: $i] :
      ( ( epred2_0 @ ( esk2_1 @ X2 ) )
      | ~ ( epred2_0 @ X2 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_77]),c_0_28])]) ).

thf(c_0_79,negated_conjecture,
    ! [X2: $i] :
      ( ( epred1_0 @ ( esk2_1 @ X2 ) )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_7,c_0_78]) ).

thf(c_0_80,negated_conjecture,
    ! [X3: $i,X2: $i] :
      ( ( ( esk2_1 @ X2 )
        = esk3_0 )
      | ( esk3_0 = X3 )
      | ~ ( epred2_0 @ X3 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_73,c_0_79]) ).

thf(c_0_81,negated_conjecture,
    ! [X3: $i,X2: $i] :
      ( ( ( esk2_1 @ X2 )
        = esk3_0 )
      | ( ( esk2_1 @ X3 )
        = esk3_0 )
      | ~ ( epred2_0 @ X3 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_80,c_0_78]) ).

thf(c_0_82,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk2_1 @ esk3_0 )
        = esk3_0 )
      | ( ( esk2_1 @ X2 )
        = esk3_0 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_81,c_0_65]) ).

thf(c_0_83,negated_conjecture,
    ! [X2: $i] :
      ( ( ( esk2_1 @ X2 )
       != X2 )
      | ~ ( epred2_0 @ X2 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_77]),c_0_28])]) ).

thf(c_0_84,negated_conjecture,
    ( ( esk2_1 @ esk3_0 )
    = esk3_0 ),
    inference(spm,[status(thm)],[c_0_82,c_0_65]) ).

thf(c_0_85,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_65])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU550^1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n018.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Tue Sep 29 13:51:56 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24  Running higher-order theorem proving
% 0.09/0.26  Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.gVI7ZPjtEX/E---3.1_102201.p
% 0.23/0.30  % Version: 3.5.1-ho
% 0.23/0.30  % Preprocessing class: HSMSSLSSLLLCHSA.
% 0.23/0.30  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.30  % Starting new_ho_9 with 1500s (5) cores
% 0.23/0.30  % Starting post_as_ho9 with 300s (1) cores
% 0.23/0.30  % Starting sh2lt with 300s (1) cores
% 0.23/0.30  % Starting full_lambda_10 with 300s (1) cores
% 0.23/0.30  % full_lambda_10 with pid 102220 completed with status 0
% 0.23/0.30  % Result found by full_lambda_10
% 0.23/0.30  % Preprocessing class: HSMSSLSSLLLCHSA.
% 0.23/0.30  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.30  % Starting new_ho_9 with 1500s (5) cores
% 0.23/0.30  % Starting post_as_ho9 with 300s (1) cores
% 0.23/0.30  % Starting sh2lt with 300s (1) cores
% 0.23/0.30  % Starting full_lambda_10 with 300s (1) cores
% 0.23/0.30  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,5,20000,3.0,true))
% 0.23/0.30  % SinE strategy is GSinE(CountFormulas,hypos,5,,5,20000,3.0,true)
% 0.23/0.30  % Search class: HGHSF-FFSM11-SHSMMFNN
% 0.23/0.30  % partial match(3): HGHNF-FFSF11-SHSSMFNN
% 0.23/0.30  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.30  % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.30  % SubtermCWHack with pid 102221 completed with status 0
% 0.23/0.30  % Result found by SubtermCWHack
% 0.23/0.30  % Preprocessing class: HSMSSLSSLLLCHSA.
% 0.23/0.30  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.30  % Starting new_ho_9 with 1500s (5) cores
% 0.23/0.30  % Starting post_as_ho9 with 300s (1) cores
% 0.23/0.30  % Starting sh2lt with 300s (1) cores
% 0.23/0.30  % Starting full_lambda_10 with 300s (1) cores
% 0.23/0.30  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,5,20000,3.0,true))
% 0.23/0.30  % SinE strategy is GSinE(CountFormulas,hypos,5,,5,20000,3.0,true)
% 0.23/0.30  % Search class: HGHSF-FFSM11-SHSMMFNN
% 0.23/0.30  % partial match(3): HGHNF-FFSF11-SHSSMFNN
% 0.23/0.30  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.30  % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.30  % Preprocessing time       : 0.002 s
% 0.23/0.30  
% 0.23/0.30  % Proof found!
% 0.23/0.30  % SZS status Theorem
% 0.23/0.30  % SZS output start CNFRefutation
% See solution above
% 0.23/0.30  % Parsed axioms                        : 147
% 0.23/0.30  % Removed by relevancy pruning/SinE    : 145
% 0.23/0.30  % Initial clauses                      : 76
% 0.23/0.30  % Removed in clause preprocessing      : 0
% 0.23/0.30  % Initial clauses in saturation        : 76
% 0.23/0.30  % Processed clauses                    : 239
% 0.23/0.30  % ...of these trivial                  : 3
% 0.23/0.30  % ...subsumed                          : 43
% 0.23/0.30  % ...remaining for further processing  : 193
% 0.23/0.30  % Other redundant clauses eliminated   : 10
% 0.23/0.30  % Clauses deleted for lack of memory   : 0
% 0.23/0.30  % Backward-subsumed                    : 46
% 0.23/0.30  % Backward-rewritten                   : 62
% 0.23/0.30  % Generated clauses                    : 565
% 0.23/0.30  % ...of the previous two non-redundant : 495
% 0.23/0.30  % ...aggressively subsumed             : 0
% 0.23/0.30  % Contextual simplify-reflections      : 9
% 0.23/0.30  % Paramodulations                      : 555
% 0.23/0.30  % Factorizations                       : 0
% 0.23/0.30  % NegExts                              : 0
% 0.23/0.30  % Equation resolutions                 : 10
% 0.23/0.30  % Disequality decompositions           : 0
% 0.23/0.30  % Total rewrite steps                  : 304
% 0.23/0.30  % ...of those cached                   : 296
% 0.23/0.30  % Propositional unsat checks           : 0
% 0.23/0.30  %    Propositional check models        : 0
% 0.23/0.30  %    Propositional check unsatisfiable : 0
% 0.23/0.30  %    Propositional clauses             : 0
% 0.23/0.30  %    Propositional clauses after purity: 0
% 0.23/0.30  %    Propositional unsat core size     : 0
% 0.23/0.30  %    Propositional preprocessing time  : 0.000
% 0.23/0.30  %    Propositional encoding time       : 0.000
% 0.23/0.30  %    Propositional solver time         : 0.000
% 0.23/0.30  %    Success case prop preproc time    : 0.000
% 0.23/0.30  %    Success case prop encoding time   : 0.000
% 0.23/0.30  %    Success case prop solver time     : 0.000
% 0.23/0.30  % Current number of processed clauses  : 83
% 0.23/0.30  %    Positive orientable unit clauses  : 71
% 0.23/0.30  %    Positive unorientable unit clauses: 0
% 0.23/0.30  %    Negative unit clauses             : 0
% 0.23/0.30  %    Non-unit-clauses                  : 12
% 0.23/0.30  % Current number of unprocessed clauses: 206
% 0.23/0.30  % ...number of literals in the above   : 1068
% 0.23/0.30  % Current number of archived formulas  : 0
% 0.23/0.30  % Current number of archived clauses   : 108
% 0.23/0.30  % Clause-clause subsumption calls (NU) : 880
% 0.23/0.30  % Rec. Clause-clause subsumption calls : 547
% 0.23/0.30  % Non-unit clause-clause subsumptions  : 96
% 0.23/0.30  % Unit Clause-clause subsumption calls : 41
% 0.23/0.30  % Rewrite failures with RHS unbound    : 0
% 0.23/0.30  % BW rewrite match attempts            : 7
% 0.23/0.30  % BW rewrite match successes           : 7
% 0.23/0.30  % Condensation attempts                : 0
% 0.23/0.30  % Condensation successes               : 0
% 0.23/0.30  % Termbank termtop insertions          : 13736
% 0.23/0.30  % Search garbage collected termcells   : 1952
% 0.23/0.30  
% 0.23/0.30  % -------------------------------------------------
% 0.23/0.30  % User time                : 0.021 s
% 0.23/0.30  % System time              : 0.003 s
% 0.23/0.30  % Total time               : 0.024 s
% 0.23/0.30  % Maximum resident set size: 4040 pages
% 0.23/0.30  
% 0.23/0.30  % -------------------------------------------------
% 0.23/0.30  % User time                : 0.025 s
% 0.23/0.30  % System time              : 0.007 s
% 0.23/0.30  % Total time               : 0.033 s
% 0.23/0.30  % Maximum resident set size: 4864 pages
% 0.23/0.30  % E exiting
%------------------------------------------------------------------------------