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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : PRO018+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 : Thu Sep 24 01:59:36 PM UTC 2026

% Result   : Theorem 74.90s 11.41s
% Output   : CNFRefutation 74.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   98 (  35 unt;   0 def)
%            Number of atoms       :  486 (  38 equ)
%            Maximal formula atoms :  130 (   4 avg)
%            Number of connectives :  613 ( 225   ~; 264   |; 102   &)
%                                         (   4 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;   7 con; 0-3 aty)
%            Number of variables   :  139 (   2 sgn  64   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals,conjecture,
    ! [X112,X113] :
      ( ( ~ leaf_occ(X112,X113)
        & arboreal(X112)
        & subactivity_occurrence(X112,X113)
        & occurrence_of(X113,tptp0) )
     => ? [X114,X115] :
          ( ( occurrence_of(X115,tptp2)
           => ~ ? [X117] :
                  ( min_precedes(X114,X117,tptp0)
                  & occurrence_of(X117,tptp1) ) )
          & ( occurrence_of(X115,tptp1)
           => ~ ? [X116] :
                  ( min_precedes(X114,X116,tptp0)
                  & occurrence_of(X116,tptp2) ) )
          & leaf_occ(X115,X113)
          & min_precedes(X114,X115,tptp0)
          & ( occurrence_of(X115,tptp2)
            | occurrence_of(X115,tptp1) )
          & next_subocc(X112,X114,tptp0)
          & occurrence_of(X114,tptp3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(sos_35,axiom,
    ! [X106,X107] :
      ( ( ~ leaf_occ(X106,X107)
        & arboreal(X106)
        & subactivity_occurrence(X106,X107)
        & occurrence_of(X107,tptp0) )
     => ? [X108,X109,X110] :
          ( ! [X111] :
              ( min_precedes(X108,X111,tptp0)
             => ( X111 = X110
                | X111 = X109 ) )
          & min_precedes(X109,X110,tptp0)
          & ( occurrence_of(X110,tptp2)
            | occurrence_of(X110,tptp1) )
          & min_precedes(X108,X109,tptp0)
          & occurrence_of(X109,tptp4)
          & next_subocc(X106,X108,tptp0)
          & occurrence_of(X108,tptp3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).

fof(sos_22,axiom,
    ! [X61,X62,X63] :
      ( next_subocc(X61,X62,X63)
    <=> ( ~ ? [X64] :
              ( min_precedes(X64,X62,X63)
              & min_precedes(X61,X64,X63) )
        & min_precedes(X61,X62,X63) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).

fof(sos_25,axiom,
    ! [X70,X71,X72] :
      ( min_precedes(X71,X72,X70)
     => ? [X73] :
          ( subactivity_occurrence(X72,X73)
          & subactivity_occurrence(X71,X73)
          & occurrence_of(X73,X70) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).

fof(sos_07,axiom,
    ! [X17,X18] :
      ( occurrence_of(X17,X18)
     => ( arboreal(X17)
      <=> atomic(X18) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).

fof(sos_41,axiom,
    atomic(tptp3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_41) ).

fof(sos_02,axiom,
    ! [X5,X6,X7] :
      ( ( occurrence_of(X5,X7)
        & occurrence_of(X5,X6) )
     => X6 = X7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).

fof(sos_01,axiom,
    ! [X3] :
      ( activity_occurrence(X3)
     => ? [X4] :
          ( occurrence_of(X3,X4)
          & activity(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).

fof(sos,axiom,
    ! [X1,X2] :
      ( occurrence_of(X2,X1)
     => ( activity_occurrence(X2)
        & activity(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).

fof(sos_34,axiom,
    ! [X103,X104] :
      ( leaf_occ(X103,X104)
    <=> ? [X105] :
          ( leaf(X103,X105)
          & subactivity_occurrence(X103,X104)
          & occurrence_of(X104,X105) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).

fof(sos_21,axiom,
    ! [X57,X58] :
      ( leaf(X57,X58)
    <=> ( ~ ? [X60] : min_precedes(X57,X60,X58)
        & ( ? [X59] : min_precedes(X59,X57,X58)
          | root(X57,X58) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).

fof(sos_42,axiom,
    tptp4 != tptp3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).

fof(sos_46,axiom,
    tptp3 != tptp2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_46) ).

fof(sos_45,axiom,
    tptp3 != tptp1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_45) ).

fof(c_0_14,negated_conjecture,
    ~ ! [X112,X113] :
        ( ( ~ leaf_occ(X112,X113)
          & arboreal(X112)
          & subactivity_occurrence(X112,X113)
          & occurrence_of(X113,tptp0) )
       => ? [X114,X115] :
            ( ( occurrence_of(X115,tptp2)
             => ~ ? [X117] :
                    ( min_precedes(X114,X117,tptp0)
                    & occurrence_of(X117,tptp1) ) )
            & ( occurrence_of(X115,tptp1)
             => ~ ? [X116] :
                    ( min_precedes(X114,X116,tptp0)
                    & occurrence_of(X116,tptp2) ) )
            & leaf_occ(X115,X113)
            & min_precedes(X114,X115,tptp0)
            & ( occurrence_of(X115,tptp2)
              | occurrence_of(X115,tptp1) )
            & next_subocc(X112,X114,tptp0)
            & occurrence_of(X114,tptp3) ) ),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_15,plain,
    ! [X106,X107] :
      ( ( ~ leaf_occ(X106,X107)
        & arboreal(X106)
        & subactivity_occurrence(X106,X107)
        & occurrence_of(X107,tptp0) )
     => ? [X108,X109,X110] :
          ( ! [X111] :
              ( min_precedes(X108,X111,tptp0)
             => ( X111 = X110
                | X111 = X109 ) )
          & min_precedes(X109,X110,tptp0)
          & ( occurrence_of(X110,tptp2)
            | occurrence_of(X110,tptp1) )
          & min_precedes(X108,X109,tptp0)
          & occurrence_of(X109,tptp4)
          & next_subocc(X106,X108,tptp0)
          & occurrence_of(X108,tptp3) ) ),
    inference(fof_simplification,[status(thm)],[sos_35]) ).

fof(c_0_16,negated_conjecture,
    ~ ! [X112,X113] :
        ( ( ~ leaf_occ(X112,X113)
          & arboreal(X112)
          & subactivity_occurrence(X112,X113)
          & occurrence_of(X113,tptp0) )
       => ? [X114,X115] :
            ( ( occurrence_of(X115,tptp2)
             => ~ ? [X117] :
                    ( min_precedes(X114,X117,tptp0)
                    & occurrence_of(X117,tptp1) ) )
            & ( occurrence_of(X115,tptp1)
             => ~ ? [X116] :
                    ( min_precedes(X114,X116,tptp0)
                    & occurrence_of(X116,tptp2) ) )
            & leaf_occ(X115,X113)
            & min_precedes(X114,X115,tptp0)
            & ( occurrence_of(X115,tptp2)
              | occurrence_of(X115,tptp1) )
            & next_subocc(X112,X114,tptp0)
            & occurrence_of(X114,tptp3) ) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_17,plain,
    ! [X240,X241,X245] :
      ( ( leaf_occ(X240,X241)
        | ~ arboreal(X240)
        | ~ subactivity_occurrence(X240,X241)
        | ~ occurrence_of(X241,tptp0)
        | X245 = esk18_1(X240)
        | X245 = esk17_1(X240)
        | ~ min_precedes(esk16_1(X240),X245,tptp0) )
      & ( leaf_occ(X240,X241)
        | ~ arboreal(X240)
        | ~ subactivity_occurrence(X240,X241)
        | ~ occurrence_of(X241,tptp0)
        | min_precedes(esk17_1(X240),esk18_1(X240),tptp0) )
      & ( leaf_occ(X240,X241)
        | ~ arboreal(X240)
        | ~ subactivity_occurrence(X240,X241)
        | ~ occurrence_of(X241,tptp0)
        | occurrence_of(esk18_1(X240),tptp2)
        | occurrence_of(esk18_1(X240),tptp1) )
      & ( leaf_occ(X240,X241)
        | ~ arboreal(X240)
        | ~ subactivity_occurrence(X240,X241)
        | ~ occurrence_of(X241,tptp0)
        | min_precedes(esk16_1(X240),esk17_1(X240),tptp0) )
      & ( leaf_occ(X240,X241)
        | ~ arboreal(X240)
        | ~ subactivity_occurrence(X240,X241)
        | ~ occurrence_of(X241,tptp0)
        | occurrence_of(esk17_1(X240),tptp4) )
      & ( leaf_occ(X240,X241)
        | ~ arboreal(X240)
        | ~ subactivity_occurrence(X240,X241)
        | ~ occurrence_of(X241,tptp0)
        | next_subocc(X240,esk16_1(X240),tptp0) )
      & ( leaf_occ(X240,X241)
        | ~ arboreal(X240)
        | ~ subactivity_occurrence(X240,X241)
        | ~ occurrence_of(X241,tptp0)
        | occurrence_of(esk16_1(X240),tptp3) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])])])]) ).

fof(c_0_18,negated_conjecture,
    ! [X248,X249] :
      ( ( ~ leaf_occ(X249,esk20_0)
        | ~ min_precedes(X248,X249,tptp0)
        | ~ next_subocc(esk19_0,X248,tptp0)
        | ~ occurrence_of(X248,tptp3)
        | ~ occurrence_of(X249,tptp2)
        | min_precedes(X248,esk21_2(X248,X249),tptp0)
        | min_precedes(X248,esk22_2(X248,X249),tptp0) )
      & ( ~ leaf_occ(X249,esk20_0)
        | ~ min_precedes(X248,X249,tptp0)
        | ~ next_subocc(esk19_0,X248,tptp0)
        | ~ occurrence_of(X248,tptp3)
        | ~ occurrence_of(X249,tptp2)
        | min_precedes(X248,esk21_2(X248,X249),tptp0)
        | occurrence_of(esk22_2(X248,X249),tptp1) )
      & ( ~ leaf_occ(X249,esk20_0)
        | ~ min_precedes(X248,X249,tptp0)
        | ~ next_subocc(esk19_0,X248,tptp0)
        | ~ occurrence_of(X248,tptp3)
        | ~ occurrence_of(X249,tptp2)
        | min_precedes(X248,esk21_2(X248,X249),tptp0)
        | occurrence_of(X249,tptp2) )
      & ( ~ leaf_occ(X249,esk20_0)
        | ~ min_precedes(X248,X249,tptp0)
        | ~ next_subocc(esk19_0,X248,tptp0)
        | ~ occurrence_of(X248,tptp3)
        | ~ occurrence_of(X249,tptp2)
        | occurrence_of(esk21_2(X248,X249),tptp2)
        | min_precedes(X248,esk22_2(X248,X249),tptp0) )
      & ( ~ leaf_occ(X249,esk20_0)
        | ~ min_precedes(X248,X249,tptp0)
        | ~ next_subocc(esk19_0,X248,tptp0)
        | ~ occurrence_of(X248,tptp3)
        | ~ occurrence_of(X249,tptp2)
        | occurrence_of(esk21_2(X248,X249),tptp2)
        | occurrence_of(esk22_2(X248,X249),tptp1) )
      & ( ~ leaf_occ(X249,esk20_0)
        | ~ min_precedes(X248,X249,tptp0)
        | ~ next_subocc(esk19_0,X248,tptp0)
        | ~ occurrence_of(X248,tptp3)
        | ~ occurrence_of(X249,tptp2)
        | occurrence_of(esk21_2(X248,X249),tptp2)
        | occurrence_of(X249,tptp2) )
      & ( ~ leaf_occ(X249,esk20_0)
        | ~ min_precedes(X248,X249,tptp0)
        | ~ next_subocc(esk19_0,X248,tptp0)
        | ~ occurrence_of(X248,tptp3)
        | ~ occurrence_of(X249,tptp2)
        | occurrence_of(X249,tptp1)
        | min_precedes(X248,esk22_2(X248,X249),tptp0) )
      & ( ~ leaf_occ(X249,esk20_0)
        | ~ min_precedes(X248,X249,tptp0)
        | ~ next_subocc(esk19_0,X248,tptp0)
        | ~ occurrence_of(X248,tptp3)
        | ~ occurrence_of(X249,tptp2)
        | occurrence_of(X249,tptp1)
        | occurrence_of(esk22_2(X248,X249),tptp1) )
      & ( ~ leaf_occ(X249,esk20_0)
        | ~ min_precedes(X248,X249,tptp0)
        | ~ next_subocc(esk19_0,X248,tptp0)
        | ~ occurrence_of(X248,tptp3)
        | ~ occurrence_of(X249,tptp2)
        | occurrence_of(X249,tptp1)
        | occurrence_of(X249,tptp2) )
      & ( ~ leaf_occ(X249,esk20_0)
        | ~ min_precedes(X248,X249,tptp0)
        | ~ next_subocc(esk19_0,X248,tptp0)
        | ~ occurrence_of(X248,tptp3)
        | ~ occurrence_of(X249,tptp1)
        | min_precedes(X248,esk21_2(X248,X249),tptp0)
        | min_precedes(X248,esk22_2(X248,X249),tptp0) )
      & ( ~ leaf_occ(X249,esk20_0)
        | ~ min_precedes(X248,X249,tptp0)
        | ~ next_subocc(esk19_0,X248,tptp0)
        | ~ occurrence_of(X248,tptp3)
        | ~ occurrence_of(X249,tptp1)
        | min_precedes(X248,esk21_2(X248,X249),tptp0)
        | occurrence_of(esk22_2(X248,X249),tptp1) )
      & ( ~ leaf_occ(X249,esk20_0)
        | ~ min_precedes(X248,X249,tptp0)
        | ~ next_subocc(esk19_0,X248,tptp0)
        | ~ occurrence_of(X248,tptp3)
        | ~ occurrence_of(X249,tptp1)
        | min_precedes(X248,esk21_2(X248,X249),tptp0)
        | occurrence_of(X249,tptp2) )
      & ( ~ leaf_occ(X249,esk20_0)
        | ~ min_precedes(X248,X249,tptp0)
        | ~ next_subocc(esk19_0,X248,tptp0)
        | ~ occurrence_of(X248,tptp3)
        | ~ occurrence_of(X249,tptp1)
        | occurrence_of(esk21_2(X248,X249),tptp2)
        | min_precedes(X248,esk22_2(X248,X249),tptp0) )
      & ( ~ leaf_occ(X249,esk20_0)
        | ~ min_precedes(X248,X249,tptp0)
        | ~ next_subocc(esk19_0,X248,tptp0)
        | ~ occurrence_of(X248,tptp3)
        | ~ occurrence_of(X249,tptp1)
        | occurrence_of(esk21_2(X248,X249),tptp2)
        | occurrence_of(esk22_2(X248,X249),tptp1) )
      & ( ~ leaf_occ(X249,esk20_0)
        | ~ min_precedes(X248,X249,tptp0)
        | ~ next_subocc(esk19_0,X248,tptp0)
        | ~ occurrence_of(X248,tptp3)
        | ~ occurrence_of(X249,tptp1)
        | occurrence_of(esk21_2(X248,X249),tptp2)
        | occurrence_of(X249,tptp2) )
      & ( ~ leaf_occ(X249,esk20_0)
        | ~ min_precedes(X248,X249,tptp0)
        | ~ next_subocc(esk19_0,X248,tptp0)
        | ~ occurrence_of(X248,tptp3)
        | ~ occurrence_of(X249,tptp1)
        | occurrence_of(X249,tptp1)
        | min_precedes(X248,esk22_2(X248,X249),tptp0) )
      & ( ~ leaf_occ(X249,esk20_0)
        | ~ min_precedes(X248,X249,tptp0)
        | ~ next_subocc(esk19_0,X248,tptp0)
        | ~ occurrence_of(X248,tptp3)
        | ~ occurrence_of(X249,tptp1)
        | occurrence_of(X249,tptp1)
        | occurrence_of(esk22_2(X248,X249),tptp1) )
      & ( ~ leaf_occ(X249,esk20_0)
        | ~ min_precedes(X248,X249,tptp0)
        | ~ next_subocc(esk19_0,X248,tptp0)
        | ~ occurrence_of(X248,tptp3)
        | ~ occurrence_of(X249,tptp1)
        | occurrence_of(X249,tptp1)
        | occurrence_of(X249,tptp2) )
      & ~ leaf_occ(esk19_0,esk20_0)
      & arboreal(esk19_0)
      & subactivity_occurrence(esk19_0,esk20_0)
      & occurrence_of(esk20_0,tptp0) ),
    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_16])])])])])]) ).

cnf(c_0_19,plain,
    ( ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | leaf_occ(X1,X2)
    | next_subocc(X1,esk16_1(X1),tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    occurrence_of(esk20_0,tptp0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_21,plain,
    ! [X182,X183,X184,X185,X186,X187,X188] :
      ( ( next_subocc(X186,X187,X188)
        | ~ min_precedes(X186,X187,X188)
        | min_precedes(esk8_3(X186,X187,X188),X187,X188) )
      & ( next_subocc(X186,X187,X188)
        | ~ min_precedes(X186,X187,X188)
        | min_precedes(X186,esk8_3(X186,X187,X188),X188) )
      & ( ~ next_subocc(X182,X183,X184)
        | ~ min_precedes(X185,X183,X184)
        | ~ min_precedes(X182,X185,X184) )
      & ( ~ next_subocc(X182,X183,X184)
        | min_precedes(X182,X183,X184) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])])])])])])]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk20_0)
    | next_subocc(X1,esk16_1(X1),tptp0)
    | leaf_occ(X1,esk20_0) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,negated_conjecture,
    subactivity_occurrence(esk19_0,esk20_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    arboreal(esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    ~ leaf_occ(esk19_0,esk20_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_26,plain,
    ! [X198,X199,X200] :
      ( ( ~ min_precedes(X199,X200,X198)
        | subactivity_occurrence(X200,esk10_3(X198,X199,X200)) )
      & ( ~ min_precedes(X199,X200,X198)
        | subactivity_occurrence(X199,esk10_3(X198,X199,X200)) )
      & ( ~ min_precedes(X199,X200,X198)
        | occurrence_of(esk10_3(X198,X199,X200),X198) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])])]) ).

cnf(c_0_27,plain,
    ( ~ next_subocc(X1,X2,X3)
    | min_precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_28,negated_conjecture,
    next_subocc(esk19_0,esk16_1(esk19_0),tptp0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_29,plain,
    ( ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | leaf_occ(X1,X2)
    | occurrence_of(esk16_1(X1),tptp3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_30,plain,
    ( ~ min_precedes(X2,X3,X1)
    | occurrence_of(esk10_3(X1,X2,X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_31,negated_conjecture,
    min_precedes(esk19_0,esk16_1(esk19_0),tptp0),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

fof(c_0_32,plain,
    ! [X134,X135] :
      ( ( ~ occurrence_of(X134,X135)
        | arboreal(X134)
        | ~ atomic(X135) )
      & ( ~ occurrence_of(X134,X135)
        | atomic(X135)
        | ~ arboreal(X134) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])])]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk20_0)
    | occurrence_of(esk16_1(X1),tptp3)
    | leaf_occ(X1,esk20_0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_20]) ).

cnf(c_0_34,negated_conjecture,
    occurrence_of(esk10_3(tptp0,esk19_0,esk16_1(esk19_0)),tptp0),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_35,plain,
    ( ~ min_precedes(X3,X1,X2)
    | subactivity_occurrence(X1,esk10_3(X2,X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_36,plain,
    ( ~ occurrence_of(X2,X1)
    | ~ atomic(X1)
    | arboreal(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_37,negated_conjecture,
    occurrence_of(esk16_1(esk19_0),tptp3),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_38,plain,
    atomic(tptp3),
    inference(split_conjunct,[status(thm)],[sos_41]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk10_3(tptp0,esk19_0,esk16_1(esk19_0)))
    | next_subocc(X1,esk16_1(X1),tptp0)
    | leaf_occ(X1,esk10_3(tptp0,esk19_0,esk16_1(esk19_0))) ),
    inference(spm,[status(thm)],[c_0_19,c_0_34]) ).

cnf(c_0_40,negated_conjecture,
    subactivity_occurrence(esk16_1(esk19_0),esk10_3(tptp0,esk19_0,esk16_1(esk19_0))),
    inference(spm,[status(thm)],[c_0_35,c_0_31]) ).

cnf(c_0_41,negated_conjecture,
    arboreal(esk16_1(esk19_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_42,plain,
    ! [X122,X123,X124] :
      ( X123 = X124
      | ~ occurrence_of(X122,X124)
      | ~ occurrence_of(X122,X123) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])])]) ).

fof(c_0_43,plain,
    ! [X120] :
      ( ( ~ activity_occurrence(X120)
        | occurrence_of(X120,esk1_1(X120)) )
      & ( ~ activity_occurrence(X120)
        | activity(esk1_1(X120)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_01])])])])]) ).

fof(c_0_44,plain,
    ! [X118,X119] :
      ( ( ~ occurrence_of(X119,X118)
        | activity_occurrence(X119) )
      & ( ~ occurrence_of(X119,X118)
        | activity(X118) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos])])])]) ).

fof(c_0_45,plain,
    ! [X234,X235,X237,X238,X239] :
      ( ( leaf_occ(X237,X238)
        | ~ leaf(X237,X239)
        | ~ subactivity_occurrence(X237,X238)
        | ~ occurrence_of(X238,X239) )
      & ( ~ leaf_occ(X234,X235)
        | leaf(X234,esk15_2(X234,X235)) )
      & ( ~ leaf_occ(X234,X235)
        | subactivity_occurrence(X234,X235) )
      & ( ~ leaf_occ(X234,X235)
        | occurrence_of(X235,esk15_2(X234,X235)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_34])])])])])])]) ).

cnf(c_0_46,negated_conjecture,
    ( next_subocc(esk16_1(esk19_0),esk16_1(esk16_1(esk19_0)),tptp0)
    | leaf_occ(esk16_1(esk19_0),esk10_3(tptp0,esk19_0,esk16_1(esk19_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).

cnf(c_0_47,plain,
    ( ~ occurrence_of(X1,X3)
    | ~ occurrence_of(X1,X2)
    | X2 = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_48,plain,
    ( ~ activity_occurrence(X1)
    | occurrence_of(X1,esk1_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_49,plain,
    ( ~ occurrence_of(X1,X2)
    | activity_occurrence(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_50,plain,
    ( ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | leaf_occ(X1,X2)
    | min_precedes(esk16_1(X1),esk17_1(X1),tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk10_3(tptp0,esk19_0,esk16_1(esk19_0)))
    | occurrence_of(esk16_1(X1),tptp3)
    | leaf_occ(X1,esk10_3(tptp0,esk19_0,esk16_1(esk19_0))) ),
    inference(spm,[status(thm)],[c_0_29,c_0_34]) ).

cnf(c_0_52,plain,
    ( ~ leaf_occ(X2,X1)
    | occurrence_of(X1,esk15_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_53,negated_conjecture,
    ( min_precedes(esk16_1(esk19_0),esk16_1(esk16_1(esk19_0)),tptp0)
    | leaf_occ(esk16_1(esk19_0),esk10_3(tptp0,esk19_0,esk16_1(esk19_0))) ),
    inference(spm,[status(thm)],[c_0_27,c_0_46]) ).

cnf(c_0_54,plain,
    ( ~ occurrence_of(X2,X1)
    | X1 = esk1_1(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

fof(c_0_55,plain,
    ! [X174,X175,X177,X178,X179,X180] :
      ( ( leaf(X178,X179)
        | min_precedes(X178,esk7_2(X178,X179),X179)
        | ~ min_precedes(X180,X178,X179) )
      & ( leaf(X178,X179)
        | min_precedes(X178,esk7_2(X178,X179),X179)
        | ~ root(X178,X179) )
      & ( ~ leaf(X174,X175)
        | ~ min_precedes(X174,X177,X175) )
      & ( ~ leaf(X174,X175)
        | min_precedes(esk6_2(X174,X175),X174,X175)
        | root(X174,X175) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_21])])])])])])]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk20_0)
    | min_precedes(esk16_1(X1),esk17_1(X1),tptp0)
    | leaf_occ(X1,esk20_0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_20]) ).

cnf(c_0_57,negated_conjecture,
    ( occurrence_of(esk16_1(esk16_1(esk19_0)),tptp3)
    | leaf_occ(esk16_1(esk19_0),esk10_3(tptp0,esk19_0,esk16_1(esk19_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_40]),c_0_41])]) ).

cnf(c_0_58,plain,
    ( ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X3)
    | ~ occurrence_of(X3,tptp0)
    | ~ min_precedes(esk16_1(X1),X2,tptp0)
    | leaf_occ(X1,X3)
    | X2 = esk18_1(X1)
    | X2 = esk17_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_59,plain,
    ( ~ leaf_occ(X1,X2)
    | leaf(X1,esk15_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_60,negated_conjecture,
    ( occurrence_of(esk10_3(tptp0,esk19_0,esk16_1(esk19_0)),esk15_2(esk16_1(esk19_0),esk10_3(tptp0,esk19_0,esk16_1(esk19_0))))
    | min_precedes(esk16_1(esk19_0),esk16_1(esk16_1(esk19_0)),tptp0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_61,negated_conjecture,
    esk1_1(esk10_3(tptp0,esk19_0,esk16_1(esk19_0))) = tptp0,
    inference(spm,[status(thm)],[c_0_54,c_0_34]) ).

cnf(c_0_62,plain,
    ( ~ leaf(X1,X3)
    | ~ min_precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_63,negated_conjecture,
    min_precedes(esk16_1(esk19_0),esk17_1(esk19_0),tptp0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_64,negated_conjecture,
    ( occurrence_of(esk16_1(esk16_1(esk19_0)),tptp3)
    | occurrence_of(esk10_3(tptp0,esk19_0,esk16_1(esk19_0)),esk15_2(esk16_1(esk19_0),esk10_3(tptp0,esk19_0,esk16_1(esk19_0)))) ),
    inference(spm,[status(thm)],[c_0_52,c_0_57]) ).

cnf(c_0_65,negated_conjecture,
    ( ~ arboreal(X2)
    | ~ min_precedes(esk16_1(X2),X1,tptp0)
    | ~ subactivity_occurrence(X2,esk20_0)
    | leaf_occ(X2,esk20_0)
    | X1 = esk17_1(X2)
    | X1 = esk18_1(X2) ),
    inference(spm,[status(thm)],[c_0_58,c_0_20]) ).

cnf(c_0_66,negated_conjecture,
    ( min_precedes(esk16_1(esk19_0),esk16_1(esk16_1(esk19_0)),tptp0)
    | leaf(esk16_1(esk19_0),esk15_2(esk16_1(esk19_0),esk10_3(tptp0,esk19_0,esk16_1(esk19_0)))) ),
    inference(spm,[status(thm)],[c_0_59,c_0_53]) ).

cnf(c_0_67,negated_conjecture,
    ( min_precedes(esk16_1(esk19_0),esk16_1(esk16_1(esk19_0)),tptp0)
    | esk15_2(esk16_1(esk19_0),esk10_3(tptp0,esk19_0,esk16_1(esk19_0))) = tptp0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_60]),c_0_61]) ).

cnf(c_0_68,negated_conjecture,
    ~ leaf(esk16_1(esk19_0),tptp0),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_69,plain,
    ( ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | leaf_occ(X1,X2)
    | occurrence_of(esk17_1(X1),tptp4) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_70,negated_conjecture,
    ( occurrence_of(esk16_1(esk16_1(esk19_0)),tptp3)
    | leaf(esk16_1(esk19_0),esk15_2(esk16_1(esk19_0),esk10_3(tptp0,esk19_0,esk16_1(esk19_0)))) ),
    inference(spm,[status(thm)],[c_0_59,c_0_57]) ).

cnf(c_0_71,negated_conjecture,
    ( occurrence_of(esk16_1(esk16_1(esk19_0)),tptp3)
    | esk15_2(esk16_1(esk19_0),esk10_3(tptp0,esk19_0,esk16_1(esk19_0))) = tptp0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_64]),c_0_61]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ min_precedes(esk16_1(esk19_0),X1,tptp0)
    | X1 = esk18_1(esk19_0)
    | X1 = esk17_1(esk19_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_73,negated_conjecture,
    min_precedes(esk16_1(esk19_0),esk16_1(esk16_1(esk19_0)),tptp0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk20_0)
    | occurrence_of(esk17_1(X1),tptp4)
    | leaf_occ(X1,esk20_0) ),
    inference(spm,[status(thm)],[c_0_69,c_0_20]) ).

fof(c_0_75,plain,
    tptp4 != tptp3,
    inference(fof_simplification,[status(thm)],[sos_42]) ).

cnf(c_0_76,plain,
    ( ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | leaf_occ(X1,X2)
    | occurrence_of(esk18_1(X1),tptp2)
    | occurrence_of(esk18_1(X1),tptp1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_77,negated_conjecture,
    occurrence_of(esk16_1(esk16_1(esk19_0)),tptp3),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_68]) ).

cnf(c_0_78,negated_conjecture,
    ( esk16_1(esk16_1(esk19_0)) = esk17_1(esk19_0)
    | esk16_1(esk16_1(esk19_0)) = esk18_1(esk19_0) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_79,negated_conjecture,
    occurrence_of(esk17_1(esk19_0),tptp4),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_23]),c_0_24])]),c_0_25]) ).

fof(c_0_80,plain,
    tptp4 != tptp3,
    inference(fof_nnf,[status(thm)],[c_0_75]) ).

cnf(c_0_81,negated_conjecture,
    ( ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk20_0)
    | occurrence_of(esk18_1(X1),tptp1)
    | occurrence_of(esk18_1(X1),tptp2)
    | leaf_occ(X1,esk20_0) ),
    inference(spm,[status(thm)],[c_0_76,c_0_20]) ).

fof(c_0_82,plain,
    tptp3 != tptp2,
    inference(fof_simplification,[status(thm)],[sos_46]) ).

cnf(c_0_83,negated_conjecture,
    esk1_1(esk16_1(esk16_1(esk19_0))) = tptp3,
    inference(spm,[status(thm)],[c_0_54,c_0_77]) ).

cnf(c_0_84,negated_conjecture,
    ( occurrence_of(esk18_1(esk19_0),tptp3)
    | esk16_1(esk16_1(esk19_0)) = esk17_1(esk19_0) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_85,negated_conjecture,
    esk1_1(esk17_1(esk19_0)) = tptp4,
    inference(spm,[status(thm)],[c_0_54,c_0_79]) ).

cnf(c_0_86,plain,
    tptp4 != tptp3,
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_87,negated_conjecture,
    ( occurrence_of(esk18_1(esk19_0),tptp2)
    | occurrence_of(esk18_1(esk19_0),tptp1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_23]),c_0_24])]),c_0_25]) ).

fof(c_0_88,plain,
    tptp3 != tptp2,
    inference(fof_nnf,[status(thm)],[c_0_82]) ).

fof(c_0_89,plain,
    tptp3 != tptp1,
    inference(fof_simplification,[status(thm)],[sos_45]) ).

cnf(c_0_90,negated_conjecture,
    occurrence_of(esk18_1(esk19_0),tptp3),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_86]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ occurrence_of(esk18_1(esk19_0),X1)
    | occurrence_of(esk18_1(esk19_0),tptp1)
    | X1 = tptp2 ),
    inference(spm,[status(thm)],[c_0_47,c_0_87]) ).

cnf(c_0_92,plain,
    tptp3 != tptp2,
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

fof(c_0_93,plain,
    tptp3 != tptp1,
    inference(fof_nnf,[status(thm)],[c_0_89]) ).

cnf(c_0_94,negated_conjecture,
    ( ~ occurrence_of(esk18_1(esk19_0),X1)
    | X1 = tptp3 ),
    inference(spm,[status(thm)],[c_0_47,c_0_90]) ).

cnf(c_0_95,negated_conjecture,
    occurrence_of(esk18_1(esk19_0),tptp1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_90]),c_0_92]) ).

cnf(c_0_96,plain,
    tptp3 != tptp1,
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_97,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : PRO018+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44  % Computer : n001.cluster.edu
% 0.18/0.44  % Model    : x86_64 x86_64
% 0.18/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44  % Memory   : 8046.5625MB
% 0.18/0.44  % OS       : Linux 6.8.0-71-generic
% 0.18/0.44  % CPULimit : 300
% 0.18/0.44  % WCLimit  : 300
% 0.18/0.44  % DateTime : Mon Sep 21 03:49:14 UTC 2026
% 0.18/0.45  % CPUTime  : 
% 0.18/0.45  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.52  Running first-order theorem proving
% 0.27/0.52  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 74.90/11.41  % Version: 3.5.1
% 74.90/11.41  % Preprocessing class: FSLSSMSSSSSNFFN.
% 74.90/11.41  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 74.90/11.41  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 74.90/11.41  % Starting new_bool_3 with 300s (1) cores
% 74.90/11.41  % Starting new_bool_1 with 300s (1) cores
% 74.90/11.41  % Starting sh5l with 300s (1) cores
% 74.90/11.41  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2117114 completed with status 0
% 74.90/11.41  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 74.90/11.41  % Preprocessing class: FSLSSMSSSSSNFFN.
% 74.90/11.41  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 74.90/11.41  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 74.90/11.41  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 74.90/11.41  % No SInE strategy applied
% 74.90/11.41  % Search class: FGHSF-FFMM32-SFFFFFNN
% 74.90/11.41  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 74.90/11.41  % Starting SubtermCWHack with 136s (1) cores
% 74.90/11.41  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 74.90/11.41  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 74.90/11.41  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 74.90/11.41  % Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 74.90/11.41  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2117119 completed with status 0
% 74.90/11.41  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 74.90/11.41  % Preprocessing class: FSLSSMSSSSSNFFN.
% 74.90/11.41  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 74.90/11.41  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 74.90/11.41  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 74.90/11.41  % No SInE strategy applied
% 74.90/11.41  % Search class: FGHSF-FFMM32-SFFFFFNN
% 74.90/11.41  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 74.90/11.41  % Starting SubtermCWHack with 136s (1) cores
% 74.90/11.41  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 74.90/11.41  % Preprocessing time       : 0.004 s
% 74.90/11.41  % Presaturation interreduction done
% 74.90/11.41  
% 74.90/11.41  % Proof found!
% 74.90/11.41  % SZS status Theorem
% 74.90/11.41  % SZS output start CNFRefutation
% See solution above
% 74.90/11.42  % Parsed axioms                        : 49
% 74.90/11.42  % Removed by relevancy pruning/SinE    : 0
% 74.90/11.42  % Initial clauses                      : 107
% 74.90/11.42  % Removed in clause preprocessing      : 6
% 74.90/11.42  % Initial clauses in saturation        : 101
% 74.90/11.42  % Processed clauses                    : 25673
% 74.90/11.42  % ...of these trivial                  : 364
% 74.90/11.42  % ...subsumed                          : 16462
% 74.90/11.42  % ...remaining for further processing  : 8847
% 74.90/11.42  % Other redundant clauses eliminated   : 0
% 74.90/11.42  % Clauses deleted for lack of memory   : 0
% 74.90/11.42  % Backward-subsumed                    : 308
% 74.90/11.42  % Backward-rewritten                   : 1052
% 74.90/11.42  % Generated clauses                    : 138088
% 74.90/11.42  % ...of the previous two non-redundant : 123441
% 74.90/11.42  % ...aggressively subsumed             : 0
% 74.90/11.42  % Contextual simplify-reflections      : 517
% 74.90/11.42  % Paramodulations                      : 138084
% 74.90/11.42  % Factorizations                       : 4
% 74.90/11.42  % NegExts                              : 0
% 74.90/11.42  % Equation resolutions                 : 0
% 74.90/11.42  % Disequality decompositions           : 0
% 74.90/11.42  % Total rewrite steps                  : 113348
% 74.90/11.42  % ...of those cached                   : 112644
% 74.90/11.42  % Propositional unsat checks           : 1
% 74.90/11.42  %    Propositional check models        : 0
% 74.90/11.42  %    Propositional check unsatisfiable : 0
% 74.90/11.42  %    Propositional clauses             : 0
% 74.90/11.42  %    Propositional clauses after purity: 0
% 74.90/11.42  %    Propositional unsat core size     : 0
% 74.90/11.42  %    Propositional preprocessing time  : 0.000
% 74.90/11.42  %    Propositional encoding time       : 0.045
% 74.90/11.42  %    Propositional solver time         : 0.121
% 74.90/11.42  %    Success case prop preproc time    : 0.000
% 74.90/11.42  %    Success case prop encoding time   : 0.000
% 74.90/11.42  %    Success case prop solver time     : 0.000
% 74.90/11.42  % Current number of processed clauses  : 7386
% 74.90/11.42  %    Positive orientable unit clauses  : 934
% 74.90/11.42  %    Positive unorientable unit clauses: 0
% 74.90/11.42  %    Negative unit clauses             : 181
% 74.90/11.42  %    Non-unit-clauses                  : 6271
% 74.90/11.42  % Current number of unprocessed clauses: 96097
% 74.90/11.42  % ...number of literals in the above   : 360471
% 74.90/11.42  % Current number of archived formulas  : 0
% 74.90/11.42  % Current number of archived clauses   : 1461
% 74.90/11.42  % Clause-clause subsumption calls (NU) : 3697497
% 74.90/11.42  % Rec. Clause-clause subsumption calls : 1581332
% 74.90/11.42  % Non-unit clause-clause subsumptions  : 15235
% 74.90/11.42  % Unit Clause-clause subsumption calls : 198549
% 74.90/11.42  % Rewrite failures with RHS unbound    : 0
% 74.90/11.42  % BW rewrite match attempts            : 2952
% 74.90/11.42  % BW rewrite match successes           : 165
% 74.90/11.42  % Condensation attempts                : 0
% 74.90/11.42  % Condensation successes               : 0
% 74.90/11.42  % Termbank termtop insertions          : 5873922
% 74.90/11.42  % Search garbage collected termcells   : 1559
% 74.90/11.42  
% 74.90/11.42  % -------------------------------------------------
% 74.90/11.42  % User time                : 10.450 s
% 74.90/11.42  % System time              : 0.189 s
% 74.90/11.42  % Total time               : 10.639 s
% 74.90/11.42  % Maximum resident set size: 4008 pages
% 74.90/11.42  
% 74.90/11.42  % -------------------------------------------------
% 74.90/11.42  % User time                : 52.193 s
% 74.90/11.42  % System time              : 0.850 s
% 74.90/11.42  % Total time               : 53.043 s
% 74.90/11.42  % Maximum resident set size: 4608 pages
% 74.90/11.42  % E exiting
%------------------------------------------------------------------------------