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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : PRO012+3 : 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 : n017.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 01:59:43 PM UTC 2026

% Result   : Theorem 6.19s 1.38s
% Output   : CNFRefutation 6.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  166 (  62 unt;   0 def)
%            Number of atoms       :  435 (  53 equ)
%            Maximal formula atoms :   17 (   2 avg)
%            Number of connectives :  446 ( 177   ~; 176   |;  67   &)
%                                         (   5 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   6 con; 0-3 aty)
%            Number of variables   :  221 (   9 sgn 112   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(sos_27,axiom,
    ! [X77,X78] :
      ( ( ~ atomic(X77)
        & occurrence_of(X78,X77) )
     => ? [X79] :
          ( subactivity_occurrence(X79,X78)
          & root(X79,X77) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_27) ).

fof(goals,conjecture,
    ! [X167] :
      ( occurrence_of(X167,tptp0)
     => ? [X168,X169] :
          ( min_precedes(X168,X169,tptp0)
          & ( occurrence_of(X169,tptp1)
            | occurrence_of(X169,tptp2) )
          & root_occ(X168,X167)
          & occurrence_of(X168,tptp3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(sos_51,axiom,
    ~ atomic(tptp0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_51) ).

fof(sos_33,axiom,
    ! [X100,X101] :
      ( root_occ(X100,X101)
    <=> ? [X102] :
          ( root(X100,X102)
          & subactivity_occurrence(X100,X101)
          & occurrence_of(X101,X102) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_33) ).

fof(sos_35,axiom,
    ! [X106,X107,X108,X109] :
      ( ( root_occ(X107,X108)
        & root_occ(X106,X108)
        & occurrence_of(X108,X109) )
     => X106 = X107 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).

fof(sos_49,axiom,
    ! [X162] :
      ( occurrence_of(X162,tptp0)
     => ? [X163,X164,X165] :
          ( ! [X166] :
              ( min_precedes(X163,X166,tptp0)
             => ( X166 = X165
                | X166 = X164 ) )
          & min_precedes(X164,X165,tptp0)
          & ( occurrence_of(X165,tptp1)
            | occurrence_of(X165,tptp2) )
          & min_precedes(X163,X164,tptp0)
          & occurrence_of(X164,tptp4)
          & root_occ(X163,X162)
          & occurrence_of(X163,tptp3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).

fof(sos_15,axiom,
    ! [X39,X40,X41] :
      ( min_precedes(X39,X40,X41)
     => precedes(X39,X40) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_15) ).

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

fof(sos_10,axiom,
    ! [X22,X23] :
      ( precedes(X22,X23)
    <=> ( legal(X23)
        & earlier(X22,X23) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).

fof(sos_03,axiom,
    ! [X8] :
      ( activity(X8)
     => subactivity(X8,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).

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_08,axiom,
    ! [X19] :
      ( legal(X19)
     => arboreal(X19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).

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_29,axiom,
    ! [X84,X85,X86,X87] :
      ( ( subactivity_occurrence(X85,X87)
        & occurrence_of(X87,X86)
        & min_precedes(X84,X85,X86) )
     => subactivity_occurrence(X84,X87) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).

fof(sos_23,axiom,
    ! [X65,X66] :
      ( atocc(X65,X66)
    <=> ? [X67] :
          ( occurrence_of(X65,X67)
          & atomic(X67)
          & subactivity(X66,X67) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_23) ).

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_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_16,axiom,
    ! [X42,X43] :
      ( root(X42,X43)
     => legal(X42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).

fof(sos_17,axiom,
    ! [X44,X45] :
      ( ( legal(X44)
        & atocc(X44,X45) )
     => root(X44,X45) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_17) ).

fof(sos_55,axiom,
    atomic(tptp3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_55) ).

fof(sos_12,axiom,
    ! [X29,X30] :
      ( root(X30,X29)
     => ? [X31] :
          ( atocc(X30,X31)
          & subactivity(X31,X29) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).

fof(sos_42,axiom,
    ! [X135,X136,X137,X138] :
      ( ( ~ min_precedes(X138,X137,X135)
        & arboreal(X137)
        & root_occ(X138,X136)
        & subactivity_occurrence(X137,X136)
        & occurrence_of(X136,X135) )
     => X138 = X137 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).

fof(sos_61,axiom,
    tptp2 != tptp1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_61) ).

fof(sos_60,axiom,
    tptp3 != tptp1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_60) ).

fof(sos_59,axiom,
    tptp3 != tptp2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_59) ).

fof(c_0_26,plain,
    ! [X77,X78] :
      ( ( ~ atomic(X77)
        & occurrence_of(X78,X77) )
     => ? [X79] :
          ( subactivity_occurrence(X79,X78)
          & root(X79,X77) ) ),
    inference(fof_simplification,[status(thm)],[sos_27]) ).

fof(c_0_27,negated_conjecture,
    ~ ! [X167] :
        ( occurrence_of(X167,tptp0)
       => ? [X168,X169] :
            ( min_precedes(X168,X169,tptp0)
            & ( occurrence_of(X169,tptp1)
              | occurrence_of(X169,tptp2) )
            & root_occ(X168,X167)
            & occurrence_of(X168,tptp3) ) ),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_28,plain,
    ~ atomic(tptp0),
    inference(fof_simplification,[status(thm)],[sos_51]) ).

fof(c_0_29,plain,
    ! [X257,X258] :
      ( ( atomic(X257)
        | ~ occurrence_of(X258,X257)
        | subactivity_occurrence(esk12_2(X257,X258),X258) )
      & ( atomic(X257)
        | ~ occurrence_of(X258,X257)
        | root(esk12_2(X257,X258),X257) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])]) ).

fof(c_0_30,negated_conjecture,
    ! [X354,X355] :
      ( ( ~ min_precedes(X354,X355,tptp0)
        | ~ root_occ(X354,esk20_0)
        | ~ occurrence_of(X354,tptp3)
        | ~ occurrence_of(X355,tptp1) )
      & ( ~ min_precedes(X354,X355,tptp0)
        | ~ root_occ(X354,esk20_0)
        | ~ occurrence_of(X354,tptp3)
        | ~ occurrence_of(X355,tptp2) )
      & 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_27])])])])])]) ).

fof(c_0_31,plain,
    ~ atomic(tptp0),
    inference(fof_nnf,[status(thm)],[c_0_28]) ).

fof(c_0_32,plain,
    ! [X280,X281,X283,X284,X285] :
      ( ( root_occ(X283,X284)
        | ~ root(X283,X285)
        | ~ subactivity_occurrence(X283,X284)
        | ~ occurrence_of(X284,X285) )
      & ( ~ root_occ(X280,X281)
        | root(X280,esk14_2(X280,X281)) )
      & ( ~ root_occ(X280,X281)
        | subactivity_occurrence(X280,X281) )
      & ( ~ root_occ(X280,X281)
        | occurrence_of(X281,esk14_2(X280,X281)) ) ),
    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_33])])])])])])]) ).

cnf(c_0_33,plain,
    ( ~ occurrence_of(X2,X1)
    | atomic(X1)
    | subactivity_occurrence(esk12_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    occurrence_of(esk20_0,tptp0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_35,plain,
    ~ atomic(tptp0),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_36,plain,
    ( ~ root(X3,X2)
    | ~ subactivity_occurrence(X3,X1)
    | ~ occurrence_of(X1,X2)
    | root_occ(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_37,negated_conjecture,
    subactivity_occurrence(esk12_2(tptp0,esk20_0),esk20_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).

cnf(c_0_38,plain,
    ( ~ occurrence_of(X2,X1)
    | atomic(X1)
    | root(esk12_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

fof(c_0_39,plain,
    ! [X292,X293,X294,X295] :
      ( X292 = X293
      | ~ root_occ(X293,X294)
      | ~ root_occ(X292,X294)
      | ~ occurrence_of(X294,X295) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_35])])]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ occurrence_of(esk20_0,X1)
    | ~ root(esk12_2(tptp0,esk20_0),X1)
    | root_occ(esk12_2(tptp0,esk20_0),esk20_0) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    root(esk12_2(tptp0,esk20_0),tptp0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_34]),c_0_35]) ).

fof(c_0_42,plain,
    ! [X348,X352] :
      ( ( ~ occurrence_of(X348,tptp0)
        | X352 = esk19_1(X348)
        | X352 = esk18_1(X348)
        | ~ min_precedes(esk17_1(X348),X352,tptp0) )
      & ( ~ occurrence_of(X348,tptp0)
        | min_precedes(esk18_1(X348),esk19_1(X348),tptp0) )
      & ( ~ occurrence_of(X348,tptp0)
        | occurrence_of(esk19_1(X348),tptp1)
        | occurrence_of(esk19_1(X348),tptp2) )
      & ( ~ occurrence_of(X348,tptp0)
        | min_precedes(esk17_1(X348),esk18_1(X348),tptp0) )
      & ( ~ occurrence_of(X348,tptp0)
        | occurrence_of(esk18_1(X348),tptp4) )
      & ( ~ occurrence_of(X348,tptp0)
        | root_occ(esk17_1(X348),X348) )
      & ( ~ occurrence_of(X348,tptp0)
        | occurrence_of(esk17_1(X348),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(fof_nnf,[status(thm)],[sos_49])])])])])]) ).

cnf(c_0_43,plain,
    ( ~ root_occ(X4,X1)
    | ~ root_occ(X3,X1)
    | ~ occurrence_of(X1,X2)
    | X3 = X4 ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    root_occ(esk12_2(tptp0,esk20_0),esk20_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_34]),c_0_41])]) ).

cnf(c_0_45,plain,
    ( ~ occurrence_of(X1,tptp0)
    | root_occ(esk17_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ occurrence_of(esk20_0,X2)
    | ~ root_occ(X1,esk20_0)
    | X1 = esk12_2(tptp0,esk20_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_47,negated_conjecture,
    root_occ(esk17_1(esk20_0),esk20_0),
    inference(spm,[status(thm)],[c_0_45,c_0_34]) ).

fof(c_0_48,plain,
    ! [X208,X209,X210] :
      ( precedes(X208,X209)
      | ~ min_precedes(X208,X209,X210) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_15])])]) ).

cnf(c_0_49,plain,
    ( ~ occurrence_of(X1,tptp0)
    | min_precedes(esk18_1(X1),esk19_1(X1),tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ occurrence_of(esk20_0,X1)
    | esk12_2(tptp0,esk20_0) = esk17_1(esk20_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

fof(c_0_51,plain,
    ! [X226,X227,X229,X230,X231,X232] :
      ( ( leaf(X230,X231)
        | min_precedes(X230,esk7_2(X230,X231),X231)
        | ~ min_precedes(X232,X230,X231) )
      & ( leaf(X230,X231)
        | min_precedes(X230,esk7_2(X230,X231),X231)
        | ~ root(X230,X231) )
      & ( ~ leaf(X226,X227)
        | ~ min_precedes(X226,X229,X227) )
      & ( ~ leaf(X226,X227)
        | min_precedes(esk6_2(X226,X227),X226,X227)
        | root(X226,X227) ) ),
    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_52,plain,
    ( ~ occurrence_of(X1,tptp0)
    | min_precedes(esk17_1(X1),esk18_1(X1),tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_53,plain,
    ! [X170,X171] :
      ( ( ~ occurrence_of(X171,X170)
        | activity_occurrence(X171) )
      & ( ~ occurrence_of(X171,X170)
        | activity(X170) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos])])])]) ).

cnf(c_0_54,plain,
    ( ~ occurrence_of(X1,tptp0)
    | occurrence_of(esk19_1(X1),tptp1)
    | occurrence_of(esk19_1(X1),tptp2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_55,plain,
    ! [X191,X192] :
      ( ( precedes(X191,X192)
        | ~ legal(X192)
        | ~ earlier(X191,X192) )
      & ( ~ precedes(X191,X192)
        | legal(X192) )
      & ( ~ precedes(X191,X192)
        | earlier(X191,X192) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_10])])])]) ).

cnf(c_0_56,plain,
    ( ~ min_precedes(X1,X2,X3)
    | precedes(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_57,negated_conjecture,
    min_precedes(esk18_1(esk20_0),esk19_1(esk20_0),tptp0),
    inference(spm,[status(thm)],[c_0_49,c_0_34]) ).

cnf(c_0_58,negated_conjecture,
    esk12_2(tptp0,esk20_0) = esk17_1(esk20_0),
    inference(spm,[status(thm)],[c_0_50,c_0_34]) ).

cnf(c_0_59,plain,
    ( ~ leaf(X1,X3)
    | ~ min_precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_60,negated_conjecture,
    min_precedes(esk17_1(esk20_0),esk18_1(esk20_0),tptp0),
    inference(spm,[status(thm)],[c_0_52,c_0_34]) ).

cnf(c_0_61,plain,
    ( ~ occurrence_of(X1,tptp0)
    | occurrence_of(esk17_1(X1),tptp3) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_62,plain,
    ! [X177] :
      ( subactivity(X177,X177)
      | ~ activity(X177) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_03])])]) ).

fof(c_0_63,plain,
    ! [X172] :
      ( ( ~ activity_occurrence(X172)
        | occurrence_of(X172,esk1_1(X172)) )
      & ( ~ activity_occurrence(X172)
        | activity(esk1_1(X172)) ) ),
    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])])])])]) ).

cnf(c_0_64,plain,
    ( ~ occurrence_of(X1,X2)
    | activity_occurrence(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_65,negated_conjecture,
    ( occurrence_of(esk19_1(esk20_0),tptp2)
    | occurrence_of(esk19_1(esk20_0),tptp1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_34]) ).

fof(c_0_66,plain,
    ! [X188] :
      ( arboreal(X188)
      | ~ legal(X188) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])])]) ).

cnf(c_0_67,plain,
    ( ~ precedes(X2,X1)
    | legal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_68,negated_conjecture,
    precedes(esk18_1(esk20_0),esk19_1(esk20_0)),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_69,plain,
    ( ~ occurrence_of(X1,tptp0)
    | ~ min_precedes(esk17_1(X1),X2,tptp0)
    | X2 = esk19_1(X1)
    | X2 = esk18_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_70,plain,
    ( ~ root(X1,X2)
    | leaf(X1,X2)
    | min_precedes(X1,esk7_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_71,negated_conjecture,
    root(esk17_1(esk20_0),tptp0),
    inference(rw,[status(thm)],[c_0_41,c_0_58]) ).

cnf(c_0_72,negated_conjecture,
    ~ leaf(esk17_1(esk20_0),tptp0),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ min_precedes(X2,X1,tptp0)
    | ~ root_occ(X2,esk20_0)
    | ~ occurrence_of(X2,tptp3)
    | ~ occurrence_of(X1,tptp1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_74,negated_conjecture,
    occurrence_of(esk17_1(esk20_0),tptp3),
    inference(spm,[status(thm)],[c_0_61,c_0_34]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ min_precedes(X2,X1,tptp0)
    | ~ root_occ(X2,esk20_0)
    | ~ occurrence_of(X2,tptp3)
    | ~ occurrence_of(X1,tptp2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_76,plain,
    ( ~ activity(X1)
    | subactivity(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_77,plain,
    ( ~ activity_occurrence(X1)
    | activity(esk1_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

fof(c_0_78,plain,
    ! [X186,X187] :
      ( ( ~ occurrence_of(X186,X187)
        | arboreal(X186)
        | ~ atomic(X187) )
      & ( ~ occurrence_of(X186,X187)
        | atomic(X187)
        | ~ arboreal(X186) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])])]) ).

cnf(c_0_79,plain,
    ( ~ activity_occurrence(X1)
    | occurrence_of(X1,esk1_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_80,negated_conjecture,
    activity_occurrence(esk19_1(esk20_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_64]) ).

cnf(c_0_81,plain,
    ( ~ legal(X1)
    | arboreal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_82,negated_conjecture,
    legal(esk19_1(esk20_0)),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

fof(c_0_83,plain,
    ! [X264,X265,X266,X267] :
      ( subactivity_occurrence(X264,X267)
      | ~ subactivity_occurrence(X265,X267)
      | ~ occurrence_of(X267,X266)
      | ~ min_precedes(X264,X265,X266) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])])]) ).

cnf(c_0_84,negated_conjecture,
    ( ~ min_precedes(esk17_1(esk20_0),X1,tptp0)
    | X1 = esk18_1(esk20_0)
    | X1 = esk19_1(esk20_0) ),
    inference(spm,[status(thm)],[c_0_69,c_0_34]) ).

cnf(c_0_85,negated_conjecture,
    min_precedes(esk17_1(esk20_0),esk7_2(esk17_1(esk20_0),tptp0),tptp0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ occurrence_of(X1,tptp1)
    | ~ min_precedes(esk17_1(esk20_0),X1,tptp0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_47]),c_0_74])]) ).

cnf(c_0_87,negated_conjecture,
    ( ~ occurrence_of(X1,tptp2)
    | ~ min_precedes(esk17_1(esk20_0),X1,tptp0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_47]),c_0_74])]) ).

fof(c_0_88,plain,
    ! [X242,X243,X245,X246,X247] :
      ( ( atocc(X245,X246)
        | ~ occurrence_of(X245,X247)
        | ~ atomic(X247)
        | ~ subactivity(X246,X247) )
      & ( ~ atocc(X242,X243)
        | occurrence_of(X242,esk9_2(X242,X243)) )
      & ( ~ atocc(X242,X243)
        | atomic(esk9_2(X242,X243)) )
      & ( ~ atocc(X242,X243)
        | subactivity(X243,esk9_2(X242,X243)) ) ),
    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_23])])])])])])]) ).

cnf(c_0_89,plain,
    ( ~ activity_occurrence(X1)
    | subactivity(esk1_1(X1),esk1_1(X1)) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_90,plain,
    ( ~ occurrence_of(X1,X2)
    | ~ arboreal(X1)
    | atomic(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_91,negated_conjecture,
    occurrence_of(esk19_1(esk20_0),esk1_1(esk19_1(esk20_0))),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_92,negated_conjecture,
    arboreal(esk19_1(esk20_0)),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_93,plain,
    ( ~ subactivity_occurrence(X2,X4)
    | ~ occurrence_of(X4,X3)
    | ~ min_precedes(X1,X2,X3)
    | subactivity_occurrence(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_94,negated_conjecture,
    ( esk7_2(esk17_1(esk20_0),tptp0) = esk19_1(esk20_0)
    | esk7_2(esk17_1(esk20_0),tptp0) = esk18_1(esk20_0) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_95,negated_conjecture,
    ~ min_precedes(esk17_1(esk20_0),esk19_1(esk20_0),tptp0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_65]),c_0_87]) ).

fof(c_0_96,plain,
    ! [X250,X251,X252] :
      ( ( ~ min_precedes(X251,X252,X250)
        | subactivity_occurrence(X252,esk10_3(X250,X251,X252)) )
      & ( ~ min_precedes(X251,X252,X250)
        | subactivity_occurrence(X251,esk10_3(X250,X251,X252)) )
      & ( ~ min_precedes(X251,X252,X250)
        | occurrence_of(esk10_3(X250,X251,X252),X250) ) ),
    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_97,plain,
    ( ~ occurrence_of(X2,X1)
    | activity(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

fof(c_0_98,plain,
    ! [X174,X175,X176] :
      ( X175 = X176
      | ~ occurrence_of(X174,X176)
      | ~ occurrence_of(X174,X175) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])])]) ).

cnf(c_0_99,plain,
    ( ~ occurrence_of(X3,X2)
    | ~ atomic(X2)
    | ~ subactivity(X1,X2)
    | atocc(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_100,negated_conjecture,
    subactivity(esk1_1(esk19_1(esk20_0)),esk1_1(esk19_1(esk20_0))),
    inference(spm,[status(thm)],[c_0_89,c_0_80]) ).

cnf(c_0_101,negated_conjecture,
    atomic(esk1_1(esk19_1(esk20_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]) ).

cnf(c_0_102,negated_conjecture,
    ( ~ occurrence_of(X1,tptp0)
    | ~ subactivity_occurrence(esk7_2(esk17_1(esk20_0),tptp0),X1)
    | subactivity_occurrence(esk17_1(esk20_0),X1) ),
    inference(spm,[status(thm)],[c_0_93,c_0_85]) ).

cnf(c_0_103,negated_conjecture,
    esk7_2(esk17_1(esk20_0),tptp0) = esk18_1(esk20_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_94]),c_0_95]) ).

cnf(c_0_104,plain,
    ( ~ min_precedes(X2,X3,X1)
    | occurrence_of(esk10_3(X1,X2,X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_105,plain,
    ( ~ min_precedes(X1,X3,X2)
    | subactivity_occurrence(X1,esk10_3(X2,X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_106,negated_conjecture,
    activity(tptp3),
    inference(spm,[status(thm)],[c_0_97,c_0_74]) ).

fof(c_0_107,plain,
    ! [X211,X212] :
      ( legal(X211)
      | ~ root(X211,X212) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_16])])]) ).

cnf(c_0_108,plain,
    ( ~ occurrence_of(X1,X3)
    | ~ occurrence_of(X1,X2)
    | X2 = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

fof(c_0_109,plain,
    ! [X213,X214] :
      ( root(X213,X214)
      | ~ legal(X213)
      | ~ atocc(X213,X214) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_17])])]) ).

cnf(c_0_110,negated_conjecture,
    ( ~ occurrence_of(X1,esk1_1(esk19_1(esk20_0)))
    | atocc(X1,esk1_1(esk19_1(esk20_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]) ).

cnf(c_0_111,negated_conjecture,
    ( ~ occurrence_of(X1,tptp0)
    | ~ subactivity_occurrence(esk18_1(esk20_0),X1)
    | subactivity_occurrence(esk17_1(esk20_0),X1) ),
    inference(rw,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_112,negated_conjecture,
    occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),tptp0),
    inference(spm,[status(thm)],[c_0_104,c_0_57]) ).

cnf(c_0_113,negated_conjecture,
    subactivity_occurrence(esk18_1(esk20_0),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
    inference(spm,[status(thm)],[c_0_105,c_0_57]) ).

cnf(c_0_114,negated_conjecture,
    subactivity(tptp3,tptp3),
    inference(spm,[status(thm)],[c_0_76,c_0_106]) ).

cnf(c_0_115,plain,
    atomic(tptp3),
    inference(split_conjunct,[status(thm)],[sos_55]) ).

cnf(c_0_116,plain,
    ( ~ root(X1,X2)
    | legal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_107]) ).

cnf(c_0_117,negated_conjecture,
    ( ~ occurrence_of(esk19_1(esk20_0),X1)
    | occurrence_of(esk19_1(esk20_0),tptp2)
    | X1 = tptp1 ),
    inference(spm,[status(thm)],[c_0_108,c_0_65]) ).

fof(c_0_118,plain,
    ! [X198,X199] :
      ( ( ~ root(X199,X198)
        | atocc(X199,esk4_2(X198,X199)) )
      & ( ~ root(X199,X198)
        | subactivity(esk4_2(X198,X199),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_12])])])])]) ).

cnf(c_0_119,plain,
    ( ~ legal(X1)
    | ~ atocc(X1,X2)
    | root(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_120,negated_conjecture,
    atocc(esk19_1(esk20_0),esk1_1(esk19_1(esk20_0))),
    inference(spm,[status(thm)],[c_0_110,c_0_91]) ).

fof(c_0_121,plain,
    ! [X135,X136,X137,X138] :
      ( ( ~ min_precedes(X138,X137,X135)
        & arboreal(X137)
        & root_occ(X138,X136)
        & subactivity_occurrence(X137,X136)
        & occurrence_of(X136,X135) )
     => X138 = X137 ),
    inference(fof_simplification,[status(thm)],[sos_42]) ).

cnf(c_0_122,negated_conjecture,
    subactivity_occurrence(esk17_1(esk20_0),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113])]) ).

cnf(c_0_123,negated_conjecture,
    ( ~ occurrence_of(X1,tptp3)
    | atocc(X1,tptp3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_114]),c_0_115])]) ).

cnf(c_0_124,negated_conjecture,
    legal(esk12_2(tptp0,esk20_0)),
    inference(spm,[status(thm)],[c_0_116,c_0_41]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ occurrence_of(esk19_1(esk20_0),X1)
    | X1 = esk1_1(esk19_1(esk20_0)) ),
    inference(spm,[status(thm)],[c_0_108,c_0_91]) ).

cnf(c_0_126,negated_conjecture,
    ( occurrence_of(esk19_1(esk20_0),tptp2)
    | esk1_1(esk19_1(esk20_0)) = tptp1 ),
    inference(spm,[status(thm)],[c_0_117,c_0_91]) ).

cnf(c_0_127,plain,
    ( ~ root(X1,X2)
    | atocc(X1,esk4_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_128,negated_conjecture,
    root(esk19_1(esk20_0),esk1_1(esk19_1(esk20_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_82])]) ).

fof(c_0_129,plain,
    ! [X321,X322,X323,X324] :
      ( X324 = X323
      | min_precedes(X324,X323,X321)
      | ~ arboreal(X323)
      | ~ root_occ(X324,X322)
      | ~ subactivity_occurrence(X323,X322)
      | ~ occurrence_of(X322,X321) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_121])])]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),X1)
    | ~ root(esk17_1(esk20_0),X1)
    | root_occ(esk17_1(esk20_0),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))) ),
    inference(spm,[status(thm)],[c_0_36,c_0_122]) ).

cnf(c_0_131,negated_conjecture,
    atocc(esk17_1(esk20_0),tptp3),
    inference(spm,[status(thm)],[c_0_123,c_0_74]) ).

cnf(c_0_132,negated_conjecture,
    legal(esk17_1(esk20_0)),
    inference(rw,[status(thm)],[c_0_124,c_0_58]) ).

cnf(c_0_133,negated_conjecture,
    ( esk1_1(esk19_1(esk20_0)) = tptp2
    | esk1_1(esk19_1(esk20_0)) = tptp1 ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_134,plain,
    ( ~ atocc(X1,X2)
    | occurrence_of(X1,esk9_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_135,negated_conjecture,
    atocc(esk19_1(esk20_0),esk4_2(esk1_1(esk19_1(esk20_0)),esk19_1(esk20_0))),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

fof(c_0_136,plain,
    tptp2 != tptp1,
    inference(fof_simplification,[status(thm)],[sos_61]) ).

cnf(c_0_137,plain,
    ( ~ arboreal(X3)
    | ~ root_occ(X4,X1)
    | ~ subactivity_occurrence(X3,X1)
    | ~ occurrence_of(X1,X2)
    | X4 = X3
    | min_precedes(X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_129]) ).

cnf(c_0_138,negated_conjecture,
    root_occ(esk17_1(esk20_0),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_71]),c_0_112])]) ).

cnf(c_0_139,plain,
    ( ~ min_precedes(X3,X1,X2)
    | subactivity_occurrence(X1,esk10_3(X2,X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_140,negated_conjecture,
    root(esk17_1(esk20_0),tptp3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_131]),c_0_132])]) ).

cnf(c_0_141,negated_conjecture,
    ( occurrence_of(esk19_1(esk20_0),tptp1)
    | esk1_1(esk19_1(esk20_0)) = tptp2 ),
    inference(spm,[status(thm)],[c_0_91,c_0_133]) ).

cnf(c_0_142,negated_conjecture,
    occurrence_of(esk19_1(esk20_0),esk9_2(esk19_1(esk20_0),esk4_2(esk1_1(esk19_1(esk20_0)),esk19_1(esk20_0)))),
    inference(spm,[status(thm)],[c_0_134,c_0_135]) ).

fof(c_0_143,plain,
    tptp2 != tptp1,
    inference(fof_nnf,[status(thm)],[c_0_136]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),X2)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)))
    | min_precedes(esk17_1(esk20_0),X1,X2)
    | X1 = esk17_1(esk20_0) ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_145,negated_conjecture,
    subactivity_occurrence(esk19_1(esk20_0),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
    inference(spm,[status(thm)],[c_0_139,c_0_57]) ).

cnf(c_0_146,negated_conjecture,
    activity_occurrence(esk17_1(esk20_0)),
    inference(spm,[status(thm)],[c_0_64,c_0_74]) ).

cnf(c_0_147,negated_conjecture,
    atocc(esk17_1(esk20_0),esk4_2(tptp3,esk17_1(esk20_0))),
    inference(spm,[status(thm)],[c_0_127,c_0_140]) ).

fof(c_0_148,plain,
    tptp3 != tptp1,
    inference(fof_simplification,[status(thm)],[sos_60]) ).

fof(c_0_149,plain,
    tptp3 != tptp2,
    inference(fof_simplification,[status(thm)],[sos_59]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ occurrence_of(esk19_1(esk20_0),X1)
    | X1 = tptp1
    | esk1_1(esk19_1(esk20_0)) = tptp2 ),
    inference(spm,[status(thm)],[c_0_108,c_0_141]) ).

cnf(c_0_151,negated_conjecture,
    ( occurrence_of(esk19_1(esk20_0),tptp2)
    | esk9_2(esk19_1(esk20_0),esk4_2(esk1_1(esk19_1(esk20_0)),esk19_1(esk20_0))) = tptp1 ),
    inference(spm,[status(thm)],[c_0_117,c_0_142]) ).

cnf(c_0_152,plain,
    tptp2 != tptp1,
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_153,negated_conjecture,
    ( ~ occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),X1)
    | min_precedes(esk17_1(esk20_0),esk19_1(esk20_0),X1)
    | esk19_1(esk20_0) = esk17_1(esk20_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_92])]) ).

cnf(c_0_154,negated_conjecture,
    ( ~ occurrence_of(esk17_1(esk20_0),X1)
    | X1 = tptp3 ),
    inference(spm,[status(thm)],[c_0_108,c_0_74]) ).

cnf(c_0_155,negated_conjecture,
    occurrence_of(esk17_1(esk20_0),esk1_1(esk17_1(esk20_0))),
    inference(spm,[status(thm)],[c_0_79,c_0_146]) ).

cnf(c_0_156,negated_conjecture,
    occurrence_of(esk17_1(esk20_0),esk9_2(esk17_1(esk20_0),esk4_2(tptp3,esk17_1(esk20_0)))),
    inference(spm,[status(thm)],[c_0_134,c_0_147]) ).

fof(c_0_157,plain,
    tptp3 != tptp1,
    inference(fof_nnf,[status(thm)],[c_0_148]) ).

fof(c_0_158,plain,
    tptp3 != tptp2,
    inference(fof_nnf,[status(thm)],[c_0_149]) ).

cnf(c_0_159,negated_conjecture,
    ( esk1_1(esk19_1(esk20_0)) = tptp2
    | esk9_2(esk19_1(esk20_0),esk4_2(esk1_1(esk19_1(esk20_0)),esk19_1(esk20_0))) = tptp1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]) ).

cnf(c_0_160,negated_conjecture,
    esk19_1(esk20_0) = esk17_1(esk20_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_112]),c_0_95]) ).

cnf(c_0_161,negated_conjecture,
    esk1_1(esk17_1(esk20_0)) = tptp3,
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_162,negated_conjecture,
    esk9_2(esk17_1(esk20_0),esk4_2(tptp3,esk17_1(esk20_0))) = tptp3,
    inference(spm,[status(thm)],[c_0_154,c_0_156]) ).

cnf(c_0_163,plain,
    tptp3 != tptp1,
    inference(split_conjunct,[status(thm)],[c_0_157]) ).

cnf(c_0_164,plain,
    tptp3 != tptp2,
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_165,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_160]),c_0_160]),c_0_161]),c_0_160]),c_0_162]),c_0_160]),c_0_161]),c_0_163]),c_0_164]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PRO012+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n017.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 03:37:57 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.45  Running first-order theorem proving
% 0.15/0.45  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
% 6.19/1.38  % Version: 3.5.1
% 6.19/1.38  % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.19/1.38  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.19/1.38  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.19/1.38  % Starting new_bool_3 with 300s (1) cores
% 6.19/1.38  % Starting new_bool_1 with 300s (1) cores
% 6.19/1.38  % Starting sh5l with 300s (1) cores
% 6.19/1.38  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1342952 completed with status 0
% 6.19/1.38  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 6.19/1.38  % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.19/1.38  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.19/1.38  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.19/1.38  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.19/1.38  % No SInE strategy applied
% 6.19/1.38  % Search class: FGHSF-FFMM32-SFFFFFNN
% 6.19/1.38  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.19/1.38  % Starting SubtermCWHack with 136s (1) cores
% 6.19/1.38  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 6.19/1.38  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 6.19/1.38  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 6.19/1.38  % Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 6.19/1.38  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with pid 1342958 completed with status 0
% 6.19/1.38  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 6.19/1.38  % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.19/1.38  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.19/1.38  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.19/1.38  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.19/1.38  % No SInE strategy applied
% 6.19/1.38  % Search class: FGHSF-FFMM32-SFFFFFNN
% 6.19/1.38  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.19/1.38  % Starting SubtermCWHack with 136s (1) cores
% 6.19/1.38  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 6.19/1.38  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 6.19/1.38  % Preprocessing time       : 0.004 s
% 6.19/1.38  % Presaturation interreduction done
% 6.19/1.38  
% 6.19/1.38  % Proof found!
% 6.19/1.38  % SZS status Theorem
% 6.19/1.38  % SZS output start CNFRefutation
% See solution above
% 6.19/1.38  % Parsed axioms                        : 63
% 6.19/1.38  % Removed by relevancy pruning/SinE    : 0
% 6.19/1.38  % Initial clauses                      : 104
% 6.19/1.38  % Removed in clause preprocessing      : 0
% 6.19/1.38  % Initial clauses in saturation        : 104
% 6.19/1.38  % Processed clauses                    : 4544
% 6.19/1.38  % ...of these trivial                  : 62
% 6.19/1.38  % ...subsumed                          : 1591
% 6.19/1.38  % ...remaining for further processing  : 2891
% 6.19/1.38  % Other redundant clauses eliminated   : 0
% 6.19/1.38  % Clauses deleted for lack of memory   : 0
% 6.19/1.38  % Backward-subsumed                    : 3
% 6.19/1.38  % Backward-rewritten                   : 944
% 6.19/1.38  % Generated clauses                    : 10979
% 6.19/1.38  % ...of the previous two non-redundant : 9495
% 6.19/1.38  % ...aggressively subsumed             : 0
% 6.19/1.38  % Contextual simplify-reflections      : 16
% 6.19/1.38  % Paramodulations                      : 10972
% 6.19/1.38  % Factorizations                       : 7
% 6.19/1.38  % NegExts                              : 0
% 6.19/1.38  % Equation resolutions                 : 0
% 6.19/1.38  % Disequality decompositions           : 0
% 6.19/1.38  % Total rewrite steps                  : 3012
% 6.19/1.38  % ...of those cached                   : 2767
% 6.19/1.38  % Propositional unsat checks           : 0
% 6.19/1.38  %    Propositional check models        : 0
% 6.19/1.38  %    Propositional check unsatisfiable : 0
% 6.19/1.38  %    Propositional clauses             : 0
% 6.19/1.38  %    Propositional clauses after purity: 0
% 6.19/1.38  %    Propositional unsat core size     : 0
% 6.19/1.38  %    Propositional preprocessing time  : 0.000
% 6.19/1.38  %    Propositional encoding time       : 0.000
% 6.19/1.38  %    Propositional solver time         : 0.000
% 6.19/1.38  %    Success case prop preproc time    : 0.000
% 6.19/1.38  %    Success case prop encoding time   : 0.000
% 6.19/1.38  %    Success case prop solver time     : 0.000
% 6.19/1.38  % Current number of processed clauses  : 1840
% 6.19/1.38  %    Positive orientable unit clauses  : 427
% 6.19/1.38  %    Positive unorientable unit clauses: 0
% 6.19/1.38  %    Negative unit clauses             : 781
% 6.19/1.38  %    Non-unit-clauses                  : 632
% 6.19/1.38  % Current number of unprocessed clauses: 4642
% 6.19/1.38  % ...number of literals in the above   : 13015
% 6.19/1.38  % Current number of archived formulas  : 0
% 6.19/1.38  % Current number of archived clauses   : 1051
% 6.19/1.38  % Clause-clause subsumption calls (NU) : 193942
% 6.19/1.38  % Rec. Clause-clause subsumption calls : 110874
% 6.19/1.38  % Non-unit clause-clause subsumptions  : 1270
% 6.19/1.38  % Unit Clause-clause subsumption calls : 28175
% 6.19/1.38  % Rewrite failures with RHS unbound    : 0
% 6.19/1.38  % BW rewrite match attempts            : 439
% 6.19/1.38  % BW rewrite match successes           : 49
% 6.19/1.38  % Condensation attempts                : 0
% 6.19/1.38  % Condensation successes               : 0
% 6.19/1.38  % Termbank termtop insertions          : 257772
% 6.19/1.38  % Search garbage collected termcells   : 1889
% 6.19/1.38  
% 6.19/1.38  % -------------------------------------------------
% 6.19/1.38  % User time                : 0.845 s
% 6.19/1.38  % System time              : 0.035 s
% 6.19/1.38  % Total time               : 0.879 s
% 6.19/1.38  % Maximum resident set size: 3808 pages
% 6.19/1.38  
% 6.19/1.38  % -------------------------------------------------
% 6.19/1.38  % User time                : 4.022 s
% 6.19/1.38  % System time              : 0.153 s
% 6.19/1.38  % Total time               : 4.175 s
% 6.19/1.38  % Maximum resident set size: 5120 pages
% 6.19/1.38  % E exiting
%------------------------------------------------------------------------------