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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : PRO012+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 17:45:02 EDT 2022

% Result   : Theorem 0.24s 1.41s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   66 (  20 unt;   0 def)
%            Number of atoms       :  199 (  15 equ)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives :  220 (  87   ~;  87   |;  36   &)
%                                         (   1 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-3 aty)
%            Number of variables   :  109 (   5 sgn  49   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals,conjecture,
    ! [X107] :
      ( occurrence_of(X107,tptp0)
     => ? [X108,X109] :
          ( occurrence_of(X108,tptp3)
          & root_occ(X108,X107)
          & ( occurrence_of(X109,tptp2)
            | occurrence_of(X109,tptp1) )
          & min_precedes(X108,X109,tptp0) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',goals) ).

fof(sos_32,axiom,
    ! [X102] :
      ( occurrence_of(X102,tptp0)
     => ? [X103,X104,X105] :
          ( occurrence_of(X103,tptp3)
          & root_occ(X103,X102)
          & occurrence_of(X104,tptp4)
          & min_precedes(X103,X104,tptp0)
          & ( occurrence_of(X105,tptp2)
            | occurrence_of(X105,tptp1) )
          & min_precedes(X104,X105,tptp0)
          & ! [X106] :
              ( min_precedes(X103,X106,tptp0)
             => ( X106 = X104
                | X106 = X105 ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_32) ).

fof(sos_27,axiom,
    ! [X83,X84,X85,X86] :
      ( ( min_precedes(X83,X84,X85)
        & occurrence_of(X86,X85)
        & subactivity_occurrence(X84,X86) )
     => subactivity_occurrence(X83,X86) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_27) ).

fof(sos_06,axiom,
    ! [X22,X23,X24] :
      ( min_precedes(X23,X24,X22)
     => ? [X25] :
          ( occurrence_of(X25,X22)
          & subactivity_occurrence(X23,X25)
          & subactivity_occurrence(X24,X25) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_06) ).

fof(sos_08,axiom,
    ! [X29,X30,X31] :
      ( ( occurrence_of(X29,X30)
        & occurrence_of(X29,X31) )
     => X30 = X31 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_08) ).

fof(sos_19,axiom,
    ! [X59,X60] :
      ( root_occ(X59,X60)
    <=> ? [X61] :
          ( occurrence_of(X60,X61)
          & subactivity_occurrence(X59,X60)
          & root(X59,X61) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_19) ).

fof(sos_23,axiom,
    ! [X69,X70,X71] :
      ( min_precedes(X69,X70,X71)
     => ? [X72] :
          ( root(X72,X71)
          & min_precedes(X72,X70,X71) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_23) ).

fof(sos_29,axiom,
    ! [X91,X92,X93,X94] :
      ( ( occurrence_of(X93,X94)
        & root_occ(X91,X93)
        & root_occ(X92,X93) )
     => X91 = X92 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_29) ).

fof(c_0_8,negated_conjecture,
    ~ ! [X107] :
        ( occurrence_of(X107,tptp0)
       => ? [X108,X109] :
            ( occurrence_of(X108,tptp3)
            & root_occ(X108,X107)
            & ( occurrence_of(X109,tptp2)
              | occurrence_of(X109,tptp1) )
            & min_precedes(X108,X109,tptp0) ) ),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_9,plain,
    ! [X107,X111] :
      ( ( occurrence_of(esk2_1(X107),tptp3)
        | ~ occurrence_of(X107,tptp0) )
      & ( root_occ(esk2_1(X107),X107)
        | ~ occurrence_of(X107,tptp0) )
      & ( occurrence_of(esk3_1(X107),tptp4)
        | ~ occurrence_of(X107,tptp0) )
      & ( min_precedes(esk2_1(X107),esk3_1(X107),tptp0)
        | ~ occurrence_of(X107,tptp0) )
      & ( occurrence_of(esk4_1(X107),tptp2)
        | occurrence_of(esk4_1(X107),tptp1)
        | ~ occurrence_of(X107,tptp0) )
      & ( min_precedes(esk3_1(X107),esk4_1(X107),tptp0)
        | ~ occurrence_of(X107,tptp0) )
      & ( ~ min_precedes(esk2_1(X107),X111,tptp0)
        | X111 = esk3_1(X107)
        | X111 = esk4_1(X107)
        | ~ occurrence_of(X107,tptp0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_32])])])])])])]) ).

fof(c_0_10,negated_conjecture,
    ! [X111,X112] :
      ( occurrence_of(esk1_0,tptp0)
      & ( ~ occurrence_of(X112,tptp2)
        | ~ occurrence_of(X111,tptp3)
        | ~ root_occ(X111,esk1_0)
        | ~ min_precedes(X111,X112,tptp0) )
      & ( ~ occurrence_of(X112,tptp1)
        | ~ occurrence_of(X111,tptp3)
        | ~ root_occ(X111,esk1_0)
        | ~ min_precedes(X111,X112,tptp0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])])]) ).

fof(c_0_11,plain,
    ! [X87,X88,X89,X90] :
      ( ~ min_precedes(X87,X88,X89)
      | ~ occurrence_of(X90,X89)
      | ~ subactivity_occurrence(X88,X90)
      | subactivity_occurrence(X87,X90) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_27])]) ).

cnf(c_0_12,plain,
    ( min_precedes(esk2_1(X1),esk3_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    occurrence_of(esk1_0,tptp0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_14,plain,
    ! [X26,X27,X28] :
      ( ( occurrence_of(esk6_3(X26,X27,X28),X26)
        | ~ min_precedes(X27,X28,X26) )
      & ( subactivity_occurrence(X27,esk6_3(X26,X27,X28))
        | ~ min_precedes(X27,X28,X26) )
      & ( subactivity_occurrence(X28,esk6_3(X26,X27,X28))
        | ~ min_precedes(X27,X28,X26) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])])])])])]) ).

cnf(c_0_15,plain,
    ( min_precedes(esk3_1(X1),esk4_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_16,plain,
    ! [X32,X33,X34] :
      ( ~ occurrence_of(X32,X33)
      | ~ occurrence_of(X32,X34)
      | X33 = X34 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])]) ).

fof(c_0_17,plain,
    ! [X62,X63,X62,X63,X65] :
      ( ( occurrence_of(X63,esk5_2(X62,X63))
        | ~ root_occ(X62,X63) )
      & ( subactivity_occurrence(X62,X63)
        | ~ root_occ(X62,X63) )
      & ( root(X62,esk5_2(X62,X63))
        | ~ root_occ(X62,X63) )
      & ( ~ occurrence_of(X63,X65)
        | ~ subactivity_occurrence(X62,X63)
        | ~ root(X62,X65)
        | root_occ(X62,X63) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_19])])])])])])]) ).

cnf(c_0_18,plain,
    ( root_occ(esk2_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_19,plain,
    ! [X73,X74,X75] :
      ( ( root(esk8_3(X73,X74,X75),X75)
        | ~ min_precedes(X73,X74,X75) )
      & ( min_precedes(esk8_3(X73,X74,X75),X74,X75)
        | ~ min_precedes(X73,X74,X75) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_23])])])])])]) ).

cnf(c_0_20,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ subactivity_occurrence(X3,X2)
    | ~ occurrence_of(X2,X4)
    | ~ min_precedes(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_21,negated_conjecture,
    min_precedes(esk2_1(esk1_0),esk3_1(esk1_0),tptp0),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_22,plain,
    ( subactivity_occurrence(X1,esk6_3(X3,X1,X2))
    | ~ min_precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_23,negated_conjecture,
    min_precedes(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),
    inference(spm,[status(thm)],[c_0_15,c_0_13]) ).

cnf(c_0_24,plain,
    ( occurrence_of(esk6_3(X3,X1,X2),X3)
    | ~ min_precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_25,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_26,plain,
    ( occurrence_of(X2,esk5_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_27,negated_conjecture,
    root_occ(esk2_1(esk1_0),esk1_0),
    inference(spm,[status(thm)],[c_0_18,c_0_13]) ).

cnf(c_0_28,plain,
    ( min_precedes(esk8_3(X1,X2,X3),X2,X3)
    | ~ min_precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_29,negated_conjecture,
    ( subactivity_occurrence(esk2_1(esk1_0),X1)
    | ~ subactivity_occurrence(esk3_1(esk1_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_30,negated_conjecture,
    subactivity_occurrence(esk3_1(esk1_0),esk6_3(tptp0,esk3_1(esk1_0),esk4_1(esk1_0))),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_31,negated_conjecture,
    occurrence_of(esk6_3(tptp0,esk3_1(esk1_0),esk4_1(esk1_0)),tptp0),
    inference(spm,[status(thm)],[c_0_24,c_0_23]) ).

cnf(c_0_32,plain,
    ( root(X1,esk5_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_33,negated_conjecture,
    ( X1 = tptp0
    | ~ occurrence_of(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_13]) ).

cnf(c_0_34,negated_conjecture,
    occurrence_of(esk1_0,esk5_2(esk2_1(esk1_0),esk1_0)),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_35,negated_conjecture,
    min_precedes(esk8_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),esk4_1(esk1_0),tptp0),
    inference(spm,[status(thm)],[c_0_28,c_0_23]) ).

cnf(c_0_36,plain,
    ( subactivity_occurrence(X2,esk6_3(X3,X1,X2))
    | ~ min_precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_37,plain,
    ( root_occ(X1,X2)
    | ~ root(X1,X3)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_38,negated_conjecture,
    subactivity_occurrence(esk2_1(esk1_0),esk6_3(tptp0,esk3_1(esk1_0),esk4_1(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).

cnf(c_0_39,negated_conjecture,
    root(esk2_1(esk1_0),esk5_2(esk2_1(esk1_0),esk1_0)),
    inference(spm,[status(thm)],[c_0_32,c_0_27]) ).

cnf(c_0_40,negated_conjecture,
    esk5_2(esk2_1(esk1_0),esk1_0) = tptp0,
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_41,negated_conjecture,
    ( subactivity_occurrence(esk8_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),X1)
    | ~ subactivity_occurrence(esk4_1(esk1_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_20,c_0_35]) ).

cnf(c_0_42,negated_conjecture,
    subactivity_occurrence(esk4_1(esk1_0),esk6_3(tptp0,esk3_1(esk1_0),esk4_1(esk1_0))),
    inference(spm,[status(thm)],[c_0_36,c_0_23]) ).

fof(c_0_43,plain,
    ! [X95,X96,X97,X98] :
      ( ~ occurrence_of(X97,X98)
      | ~ root_occ(X95,X97)
      | ~ root_occ(X96,X97)
      | X95 = X96 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])])])]) ).

cnf(c_0_44,negated_conjecture,
    ( root_occ(esk2_1(esk1_0),esk6_3(tptp0,esk3_1(esk1_0),esk4_1(esk1_0)))
    | ~ root(esk2_1(esk1_0),X1)
    | ~ occurrence_of(esk6_3(tptp0,esk3_1(esk1_0),esk4_1(esk1_0)),X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_45,negated_conjecture,
    root(esk2_1(esk1_0),tptp0),
    inference(rw,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_46,negated_conjecture,
    subactivity_occurrence(esk8_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),esk6_3(tptp0,esk3_1(esk1_0),esk4_1(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_31])]) ).

cnf(c_0_47,plain,
    ( root(esk8_3(X1,X2,X3),X3)
    | ~ min_precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_48,plain,
    ( X1 = X2
    | ~ root_occ(X2,X3)
    | ~ root_occ(X1,X3)
    | ~ occurrence_of(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_49,negated_conjecture,
    root_occ(esk2_1(esk1_0),esk6_3(tptp0,esk3_1(esk1_0),esk4_1(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_31]),c_0_45])]) ).

cnf(c_0_50,negated_conjecture,
    ( root_occ(esk8_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),esk6_3(tptp0,esk3_1(esk1_0),esk4_1(esk1_0)))
    | ~ root(esk8_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),X1)
    | ~ occurrence_of(esk6_3(tptp0,esk3_1(esk1_0),esk4_1(esk1_0)),X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_46]) ).

cnf(c_0_51,negated_conjecture,
    root(esk8_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),tptp0),
    inference(spm,[status(thm)],[c_0_47,c_0_23]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ min_precedes(X1,X2,tptp0)
    | ~ root_occ(X1,esk1_0)
    | ~ occurrence_of(X1,tptp3)
    | ~ occurrence_of(X2,tptp1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_53,plain,
    ( occurrence_of(esk4_1(X1),tptp1)
    | occurrence_of(esk4_1(X1),tptp2)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ min_precedes(X1,X2,tptp0)
    | ~ root_occ(X1,esk1_0)
    | ~ occurrence_of(X1,tptp3)
    | ~ occurrence_of(X2,tptp2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_55,negated_conjecture,
    ( X1 = esk2_1(esk1_0)
    | ~ root_occ(X1,esk6_3(tptp0,esk3_1(esk1_0),esk4_1(esk1_0)))
    | ~ occurrence_of(esk6_3(tptp0,esk3_1(esk1_0),esk4_1(esk1_0)),X2) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_56,negated_conjecture,
    root_occ(esk8_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),esk6_3(tptp0,esk3_1(esk1_0),esk4_1(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_31])]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ root_occ(esk8_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),esk1_0)
    | ~ occurrence_of(esk8_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),tptp3)
    | ~ occurrence_of(esk4_1(esk1_0),tptp1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_35]) ).

cnf(c_0_58,negated_conjecture,
    ( occurrence_of(esk4_1(esk1_0),tptp2)
    | occurrence_of(esk4_1(esk1_0),tptp1) ),
    inference(spm,[status(thm)],[c_0_53,c_0_13]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ root_occ(esk8_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),esk1_0)
    | ~ occurrence_of(esk8_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),tptp3)
    | ~ occurrence_of(esk4_1(esk1_0),tptp2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_35]) ).

cnf(c_0_60,negated_conjecture,
    ( esk8_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0) = esk2_1(esk1_0)
    | ~ occurrence_of(esk6_3(tptp0,esk3_1(esk1_0),esk4_1(esk1_0)),X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_61,plain,
    ( occurrence_of(esk2_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ root_occ(esk8_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),esk1_0)
    | ~ occurrence_of(esk8_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),tptp3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).

cnf(c_0_63,negated_conjecture,
    esk8_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0) = esk2_1(esk1_0),
    inference(spm,[status(thm)],[c_0_60,c_0_31]) ).

cnf(c_0_64,negated_conjecture,
    occurrence_of(esk2_1(esk1_0),tptp3),
    inference(spm,[status(thm)],[c_0_61,c_0_13]) ).

cnf(c_0_65,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63]),c_0_27]),c_0_63]),c_0_64])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PRO012+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.14/0.33  % Computer : n006.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Mon Jun 13 03:52:27 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.24/1.41  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.24/1.41  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.24/1.41  # Preprocessing time       : 0.016 s
% 0.24/1.41  
% 0.24/1.41  # Proof found!
% 0.24/1.41  # SZS status Theorem
% 0.24/1.41  # SZS output start CNFRefutation
% See solution above
% 0.24/1.41  # Proof object total steps             : 66
% 0.24/1.41  # Proof object clause steps            : 49
% 0.24/1.41  # Proof object formula steps           : 17
% 0.24/1.41  # Proof object conjectures             : 36
% 0.24/1.41  # Proof object clause conjectures      : 33
% 0.24/1.41  # Proof object formula conjectures     : 3
% 0.24/1.41  # Proof object initial clauses used    : 19
% 0.24/1.41  # Proof object initial formulas used   : 8
% 0.24/1.41  # Proof object generating inferences   : 28
% 0.24/1.41  # Proof object simplifying inferences  : 15
% 0.24/1.41  # Training examples: 0 positive, 0 negative
% 0.24/1.41  # Parsed axioms                        : 46
% 0.24/1.41  # Removed by relevancy pruning/SinE    : 21
% 0.24/1.41  # Initial clauses                      : 40
% 0.24/1.41  # Removed in clause preprocessing      : 0
% 0.24/1.41  # Initial clauses in saturation        : 40
% 0.24/1.41  # Processed clauses                    : 739
% 0.24/1.41  # ...of these trivial                  : 20
% 0.24/1.41  # ...subsumed                          : 168
% 0.24/1.41  # ...remaining for further processing  : 551
% 0.24/1.41  # Other redundant clauses eliminated   : 0
% 0.24/1.41  # Clauses deleted for lack of memory   : 0
% 0.24/1.41  # Backward-subsumed                    : 17
% 0.24/1.41  # Backward-rewritten                   : 371
% 0.24/1.41  # Generated clauses                    : 1236
% 0.24/1.41  # ...of the previous two non-trivial   : 1367
% 0.24/1.41  # Contextual simplify-reflections      : 25
% 0.24/1.41  # Paramodulations                      : 1235
% 0.24/1.41  # Factorizations                       : 1
% 0.24/1.41  # Equation resolutions                 : 0
% 0.24/1.41  # Current number of processed clauses  : 163
% 0.24/1.41  #    Positive orientable unit clauses  : 60
% 0.24/1.41  #    Positive unorientable unit clauses: 0
% 0.24/1.41  #    Negative unit clauses             : 15
% 0.24/1.41  #    Non-unit-clauses                  : 88
% 0.24/1.41  # Current number of unprocessed clauses: 191
% 0.24/1.41  # ...number of literals in the above   : 331
% 0.24/1.41  # Current number of archived formulas  : 0
% 0.24/1.41  # Current number of archived clauses   : 388
% 0.24/1.41  # Clause-clause subsumption calls (NU) : 10668
% 0.24/1.41  # Rec. Clause-clause subsumption calls : 8274
% 0.24/1.41  # Non-unit clause-clause subsumptions  : 142
% 0.24/1.41  # Unit Clause-clause subsumption calls : 338
% 0.24/1.41  # Rewrite failures with RHS unbound    : 0
% 0.24/1.41  # BW rewrite match attempts            : 390
% 0.24/1.41  # BW rewrite match successes           : 24
% 0.24/1.41  # Condensation attempts                : 0
% 0.24/1.41  # Condensation successes               : 0
% 0.24/1.41  # Termbank termtop insertions          : 46655
% 0.24/1.41  
% 0.24/1.41  # -------------------------------------------------
% 0.24/1.41  # User time                : 0.080 s
% 0.24/1.41  # System time              : 0.005 s
% 0.24/1.41  # Total time               : 0.085 s
% 0.24/1.41  # Maximum resident set size: 5216 pages
%------------------------------------------------------------------------------