TSTP Solution File: PRO012+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : PRO012+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n008.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 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% 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,
    ! [X167] :
      ( occurrence_of(X167,tptp0)
     => ? [X168,X169] :
          ( occurrence_of(X168,tptp3)
          & root_occ(X168,X167)
          & ( occurrence_of(X169,tptp2)
            | occurrence_of(X169,tptp1) )
          & min_precedes(X168,X169,tptp0) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',goals) ).

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

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

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

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

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

fof(sos_13,axiom,
    ! [X32,X33,X34] :
      ( min_precedes(X32,X33,X34)
     => ? [X35] :
          ( root(X35,X34)
          & min_precedes(X35,X33,X34) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_13) ).

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

fof(c_0_8,negated_conjecture,
    ~ ! [X167] :
        ( occurrence_of(X167,tptp0)
       => ? [X168,X169] :
            ( occurrence_of(X168,tptp3)
            & root_occ(X168,X167)
            & ( occurrence_of(X169,tptp2)
              | occurrence_of(X169,tptp1) )
            & min_precedes(X168,X169,tptp0) ) ),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_9,plain,
    ! [X167,X171] :
      ( ( occurrence_of(esk2_1(X167),tptp3)
        | ~ occurrence_of(X167,tptp0) )
      & ( root_occ(esk2_1(X167),X167)
        | ~ occurrence_of(X167,tptp0) )
      & ( occurrence_of(esk3_1(X167),tptp4)
        | ~ occurrence_of(X167,tptp0) )
      & ( min_precedes(esk2_1(X167),esk3_1(X167),tptp0)
        | ~ occurrence_of(X167,tptp0) )
      & ( occurrence_of(esk4_1(X167),tptp2)
        | occurrence_of(esk4_1(X167),tptp1)
        | ~ occurrence_of(X167,tptp0) )
      & ( min_precedes(esk3_1(X167),esk4_1(X167),tptp0)
        | ~ occurrence_of(X167,tptp0) )
      & ( ~ min_precedes(esk2_1(X167),X171,tptp0)
        | X171 = esk3_1(X167)
        | X171 = esk4_1(X167)
        | ~ occurrence_of(X167,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_49])])])])])])]) ).

fof(c_0_10,negated_conjecture,
    ! [X171,X172] :
      ( occurrence_of(esk1_0,tptp0)
      & ( ~ occurrence_of(X172,tptp2)
        | ~ occurrence_of(X171,tptp3)
        | ~ root_occ(X171,esk1_0)
        | ~ min_precedes(X171,X172,tptp0) )
      & ( ~ occurrence_of(X172,tptp1)
        | ~ occurrence_of(X171,tptp3)
        | ~ root_occ(X171,esk1_0)
        | ~ min_precedes(X171,X172,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,
    ! [X88,X89,X90,X91] :
      ( ~ min_precedes(X88,X89,X90)
      | ~ occurrence_of(X91,X90)
      | ~ subactivity_occurrence(X89,X91)
      | subactivity_occurrence(X88,X91) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])]) ).

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,
    ! [X74,X75,X76] :
      ( ( occurrence_of(esk9_3(X74,X75,X76),X74)
        | ~ min_precedes(X75,X76,X74) )
      & ( subactivity_occurrence(X75,esk9_3(X74,X75,X76))
        | ~ min_precedes(X75,X76,X74) )
      & ( subactivity_occurrence(X76,esk9_3(X74,X75,X76))
        | ~ min_precedes(X75,X76,X74) ) ),
    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_25])])])])])]) ).

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,
    ! [X8,X9,X10] :
      ( ~ occurrence_of(X8,X9)
      | ~ occurrence_of(X8,X10)
      | X9 = X10 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).

fof(c_0_17,plain,
    ! [X103,X104,X103,X104,X106] :
      ( ( occurrence_of(X104,esk5_2(X103,X104))
        | ~ root_occ(X103,X104) )
      & ( subactivity_occurrence(X103,X104)
        | ~ root_occ(X103,X104) )
      & ( root(X103,esk5_2(X103,X104))
        | ~ root_occ(X103,X104) )
      & ( ~ occurrence_of(X104,X106)
        | ~ subactivity_occurrence(X103,X104)
        | ~ root(X103,X106)
        | root_occ(X103,X104) ) ),
    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_33])])])])])])]) ).

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,
    ! [X36,X37,X38] :
      ( ( root(esk6_3(X36,X37,X38),X38)
        | ~ min_precedes(X36,X37,X38) )
      & ( min_precedes(esk6_3(X36,X37,X38),X37,X38)
        | ~ min_precedes(X36,X37,X38) ) ),
    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_13])])])])])]) ).

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,esk9_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(esk9_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(esk6_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),esk9_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(esk9_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(esk6_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,esk9_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),esk9_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(esk6_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),esk9_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,
    ! [X110,X111,X112,X113] :
      ( ~ occurrence_of(X112,X113)
      | ~ root_occ(X110,X112)
      | ~ root_occ(X111,X112)
      | X110 = X111 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_35])])])]) ).

cnf(c_0_44,negated_conjecture,
    ( root_occ(esk2_1(esk1_0),esk9_3(tptp0,esk3_1(esk1_0),esk4_1(esk1_0)))
    | ~ root(esk2_1(esk1_0),X1)
    | ~ occurrence_of(esk9_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(esk6_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),esk9_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(esk6_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),esk9_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(esk6_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),esk9_3(tptp0,esk3_1(esk1_0),esk4_1(esk1_0)))
    | ~ root(esk6_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),X1)
    | ~ occurrence_of(esk9_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(esk6_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,esk9_3(tptp0,esk3_1(esk1_0),esk4_1(esk1_0)))
    | ~ occurrence_of(esk9_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(esk6_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),esk9_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(esk6_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),esk1_0)
    | ~ occurrence_of(esk6_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(esk6_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),esk1_0)
    | ~ occurrence_of(esk6_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,
    ( esk6_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0) = esk2_1(esk1_0)
    | ~ occurrence_of(esk9_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(esk6_3(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),esk1_0)
    | ~ occurrence_of(esk6_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,
    esk6_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
% 0.06/0.12  % Problem  : PRO012+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 13 01:50:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.23/1.41  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.23/1.41  # Preprocessing time       : 0.017 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 66
% 0.23/1.41  # Proof object clause steps            : 49
% 0.23/1.41  # Proof object formula steps           : 17
% 0.23/1.41  # Proof object conjectures             : 36
% 0.23/1.41  # Proof object clause conjectures      : 33
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 19
% 0.23/1.41  # Proof object initial formulas used   : 8
% 0.23/1.41  # Proof object generating inferences   : 28
% 0.23/1.41  # Proof object simplifying inferences  : 15
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 63
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 36
% 0.23/1.41  # Initial clauses                      : 43
% 0.23/1.41  # Removed in clause preprocessing      : 0
% 0.23/1.41  # Initial clauses in saturation        : 43
% 0.23/1.41  # Processed clauses                    : 1187
% 0.23/1.41  # ...of these trivial                  : 13
% 0.23/1.41  # ...subsumed                          : 313
% 0.23/1.41  # ...remaining for further processing  : 861
% 0.23/1.41  # Other redundant clauses eliminated   : 0
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 16
% 0.23/1.41  # Backward-rewritten                   : 577
% 0.23/1.41  # Generated clauses                    : 2191
% 0.23/1.41  # ...of the previous two non-trivial   : 2358
% 0.23/1.41  # Contextual simplify-reflections      : 17
% 0.23/1.41  # Paramodulations                      : 2190
% 0.23/1.41  # Factorizations                       : 1
% 0.23/1.41  # Equation resolutions                 : 0
% 0.23/1.41  # Current number of processed clauses  : 268
% 0.23/1.41  #    Positive orientable unit clauses  : 112
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 22
% 0.23/1.41  #    Non-unit-clauses                  : 134
% 0.23/1.41  # Current number of unprocessed clauses: 334
% 0.23/1.41  # ...number of literals in the above   : 509
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 593
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 26626
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 21838
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 182
% 0.23/1.41  # Unit Clause-clause subsumption calls : 2427
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 803
% 0.23/1.41  # BW rewrite match successes           : 28
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 72719
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.107 s
% 0.23/1.41  # System time              : 0.006 s
% 0.23/1.41  # Total time               : 0.113 s
% 0.23/1.41  # Maximum resident set size: 6344 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------