TSTP Solution File: PRO014+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : PRO014+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n022.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 17:45:03 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   76 (  25 unt;   0 def)
%            Number of atoms       :  309 (   9 equ)
%            Maximal formula atoms :   36 (   4 avg)
%            Number of connectives :  379 ( 146   ~; 164   |;  58   &)
%                                         (   4 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-3 aty)
%            Number of variables   :  122 (   8 sgn  59   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals,conjecture,
    ! [X167,X168] :
      ( ( occurrence_of(X168,tptp0)
        & subactivity_occurrence(X167,X168)
        & arboreal(X167)
        & ~ leaf_occ(X167,X168) )
     => ? [X169,X170] :
          ( occurrence_of(X169,tptp3)
          & next_subocc(X167,X169,tptp0)
          & ( occurrence_of(X170,tptp2)
            | occurrence_of(X170,tptp1) )
          & min_precedes(X169,X170,tptp0)
          & leaf(X170,tptp0) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',goals) ).

fof(sos_49,axiom,
    ! [X162,X163] :
      ( ( occurrence_of(X163,tptp0)
        & subactivity_occurrence(X162,X163)
        & arboreal(X162)
        & ~ leaf_occ(X162,X163) )
     => ? [X164,X165,X166] :
          ( occurrence_of(X164,tptp3)
          & next_subocc(X162,X164,tptp0)
          & occurrence_of(X165,tptp4)
          & next_subocc(X164,X165,tptp0)
          & ( occurrence_of(X166,tptp2)
            | occurrence_of(X166,tptp1) )
          & next_subocc(X165,X166,tptp0)
          & leaf(X166,tptp0) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_49) ).

fof(sos_22,axiom,
    ! [X61,X62,X63] :
      ( next_subocc(X61,X62,X63)
    <=> ( min_precedes(X61,X62,X63)
        & ~ ? [X64] :
              ( min_precedes(X61,X64,X63)
              & min_precedes(X64,X62,X63) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_22) ).

fof(sos_45,axiom,
    ! [X146,X147] :
      ( ( leaf(X146,X147)
        & ~ atomic(X147) )
     => ? [X148] :
          ( occurrence_of(X148,X147)
          & leaf_occ(X146,X148) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_45) ).

fof(sos_51,axiom,
    ~ atomic(tptp0),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_51) ).

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/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_29) ).

fof(sos_34,axiom,
    ! [X103,X104] :
      ( leaf_occ(X103,X104)
    <=> ? [X105] :
          ( occurrence_of(X104,X105)
          & subactivity_occurrence(X103,X104)
          & leaf(X103,X105) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_34) ).

fof(sos_43,axiom,
    ! [X139,X140,X141,X142] :
      ( ( occurrence_of(X140,X139)
        & subactivity_occurrence(X141,X140)
        & leaf_occ(X142,X140)
        & arboreal(X141)
        & ~ min_precedes(X141,X142,X139) )
     => X142 = X141 ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_43) ).

fof(sos_07,axiom,
    ! [X17,X18] :
      ( occurrence_of(X17,X18)
     => ( arboreal(X17)
      <=> atomic(X18) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_07) ).

fof(sos_55,axiom,
    atomic(tptp3),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_55) ).

fof(sos_21,axiom,
    ! [X57,X58] :
      ( leaf(X57,X58)
    <=> ( ( root(X57,X58)
          | ? [X59] : min_precedes(X59,X57,X58) )
        & ~ ? [X60] : min_precedes(X57,X60,X58) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_21) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X167,X168] :
        ( ( occurrence_of(X168,tptp0)
          & subactivity_occurrence(X167,X168)
          & arboreal(X167)
          & ~ leaf_occ(X167,X168) )
       => ? [X169,X170] :
            ( occurrence_of(X169,tptp3)
            & next_subocc(X167,X169,tptp0)
            & ( occurrence_of(X170,tptp2)
              | occurrence_of(X170,tptp1) )
            & min_precedes(X169,X170,tptp0)
            & leaf(X170,tptp0) ) ),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_12,plain,
    ! [X167,X168] :
      ( ( occurrence_of(esk7_1(X167),tptp3)
        | ~ occurrence_of(X168,tptp0)
        | ~ subactivity_occurrence(X167,X168)
        | ~ arboreal(X167)
        | leaf_occ(X167,X168) )
      & ( next_subocc(X167,esk7_1(X167),tptp0)
        | ~ occurrence_of(X168,tptp0)
        | ~ subactivity_occurrence(X167,X168)
        | ~ arboreal(X167)
        | leaf_occ(X167,X168) )
      & ( occurrence_of(esk8_1(X167),tptp4)
        | ~ occurrence_of(X168,tptp0)
        | ~ subactivity_occurrence(X167,X168)
        | ~ arboreal(X167)
        | leaf_occ(X167,X168) )
      & ( next_subocc(esk7_1(X167),esk8_1(X167),tptp0)
        | ~ occurrence_of(X168,tptp0)
        | ~ subactivity_occurrence(X167,X168)
        | ~ arboreal(X167)
        | leaf_occ(X167,X168) )
      & ( occurrence_of(esk9_1(X167),tptp2)
        | occurrence_of(esk9_1(X167),tptp1)
        | ~ occurrence_of(X168,tptp0)
        | ~ subactivity_occurrence(X167,X168)
        | ~ arboreal(X167)
        | leaf_occ(X167,X168) )
      & ( next_subocc(esk8_1(X167),esk9_1(X167),tptp0)
        | ~ occurrence_of(X168,tptp0)
        | ~ subactivity_occurrence(X167,X168)
        | ~ arboreal(X167)
        | leaf_occ(X167,X168) )
      & ( leaf(esk9_1(X167),tptp0)
        | ~ occurrence_of(X168,tptp0)
        | ~ subactivity_occurrence(X167,X168)
        | ~ arboreal(X167)
        | leaf_occ(X167,X168) ) ),
    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)],[inference(fof_simplification,[status(thm)],[sos_49])])])])])])])]) ).

fof(c_0_13,negated_conjecture,
    ! [X173,X174] :
      ( occurrence_of(esk2_0,tptp0)
      & subactivity_occurrence(esk1_0,esk2_0)
      & arboreal(esk1_0)
      & ~ leaf_occ(esk1_0,esk2_0)
      & ( ~ occurrence_of(X174,tptp2)
        | ~ occurrence_of(X173,tptp3)
        | ~ next_subocc(esk1_0,X173,tptp0)
        | ~ min_precedes(X173,X174,tptp0)
        | ~ leaf(X174,tptp0) )
      & ( ~ occurrence_of(X174,tptp1)
        | ~ occurrence_of(X173,tptp3)
        | ~ next_subocc(esk1_0,X173,tptp0)
        | ~ min_precedes(X173,X174,tptp0)
        | ~ leaf(X174,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)],[inference(fof_simplification,[status(thm)],[c_0_11])])])])])])])]) ).

cnf(c_0_14,plain,
    ( leaf_occ(X1,X2)
    | next_subocc(esk8_1(X1),esk9_1(X1),tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    occurrence_of(esk2_0,tptp0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,plain,
    ( leaf_occ(X1,X2)
    | leaf(esk9_1(X1),tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    ( leaf_occ(X1,X2)
    | next_subocc(esk7_1(X1),esk8_1(X1),tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_18,plain,
    ! [X65,X66,X67,X68,X65,X66,X67] :
      ( ( min_precedes(X65,X66,X67)
        | ~ next_subocc(X65,X66,X67) )
      & ( ~ min_precedes(X65,X68,X67)
        | ~ min_precedes(X68,X66,X67)
        | ~ next_subocc(X65,X66,X67) )
      & ( min_precedes(X65,esk10_3(X65,X66,X67),X67)
        | ~ min_precedes(X65,X66,X67)
        | next_subocc(X65,X66,X67) )
      & ( min_precedes(esk10_3(X65,X66,X67),X66,X67)
        | ~ min_precedes(X65,X66,X67)
        | next_subocc(X65,X66,X67) ) ),
    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_22])])])])])])]) ).

cnf(c_0_19,negated_conjecture,
    ( leaf_occ(X1,esk2_0)
    | next_subocc(esk8_1(X1),esk9_1(X1),tptp0)
    | ~ subactivity_occurrence(X1,esk2_0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    subactivity_occurrence(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,negated_conjecture,
    arboreal(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_22,negated_conjecture,
    ~ leaf_occ(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_23,plain,
    ! [X149,X150] :
      ( ( occurrence_of(esk6_2(X149,X150),X150)
        | ~ leaf(X149,X150)
        | atomic(X150) )
      & ( leaf_occ(X149,esk6_2(X149,X150))
        | ~ leaf(X149,X150)
        | atomic(X150) ) ),
    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)],[inference(fof_simplification,[status(thm)],[sos_45])])])])])])]) ).

cnf(c_0_24,negated_conjecture,
    ( leaf_occ(X1,esk2_0)
    | leaf(esk9_1(X1),tptp0)
    | ~ subactivity_occurrence(X1,esk2_0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_15]) ).

fof(c_0_25,plain,
    ~ atomic(tptp0),
    inference(fof_simplification,[status(thm)],[sos_51]) ).

cnf(c_0_26,negated_conjecture,
    ( leaf_occ(X1,esk2_0)
    | next_subocc(esk7_1(X1),esk8_1(X1),tptp0)
    | ~ subactivity_occurrence(X1,esk2_0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_15]) ).

fof(c_0_27,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_28,plain,
    ( min_precedes(X1,X2,X3)
    | ~ next_subocc(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_29,negated_conjecture,
    next_subocc(esk8_1(esk1_0),esk9_1(esk1_0),tptp0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),c_0_22]) ).

fof(c_0_30,plain,
    ! [X106,X107,X106,X107,X109] :
      ( ( occurrence_of(X107,esk5_2(X106,X107))
        | ~ leaf_occ(X106,X107) )
      & ( subactivity_occurrence(X106,X107)
        | ~ leaf_occ(X106,X107) )
      & ( leaf(X106,esk5_2(X106,X107))
        | ~ leaf_occ(X106,X107) )
      & ( ~ occurrence_of(X107,X109)
        | ~ subactivity_occurrence(X106,X107)
        | ~ leaf(X106,X109)
        | leaf_occ(X106,X107) ) ),
    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_34])])])])])])]) ).

cnf(c_0_31,plain,
    ( atomic(X1)
    | leaf_occ(X2,esk6_2(X2,X1))
    | ~ leaf(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_32,negated_conjecture,
    leaf(esk9_1(esk1_0),tptp0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_20]),c_0_21])]),c_0_22]) ).

cnf(c_0_33,plain,
    ~ atomic(tptp0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_34,negated_conjecture,
    next_subocc(esk7_1(esk1_0),esk8_1(esk1_0),tptp0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20]),c_0_21])]),c_0_22]) ).

cnf(c_0_35,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_27]) ).

cnf(c_0_36,negated_conjecture,
    min_precedes(esk8_1(esk1_0),esk9_1(esk1_0),tptp0),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_37,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ leaf_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_38,negated_conjecture,
    leaf_occ(esk9_1(esk1_0),esk6_2(esk9_1(esk1_0),tptp0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).

cnf(c_0_39,plain,
    ( atomic(X1)
    | occurrence_of(esk6_2(X2,X1),X1)
    | ~ leaf(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_40,plain,
    ( leaf_occ(X1,X2)
    | occurrence_of(esk7_1(X1),tptp3)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_41,plain,
    ! [X143,X144,X145,X146] :
      ( ~ occurrence_of(X144,X143)
      | ~ subactivity_occurrence(X145,X144)
      | ~ leaf_occ(X146,X144)
      | ~ arboreal(X145)
      | min_precedes(X145,X146,X143)
      | X146 = X145 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_43])])]) ).

cnf(c_0_42,negated_conjecture,
    min_precedes(esk7_1(esk1_0),esk8_1(esk1_0),tptp0),
    inference(spm,[status(thm)],[c_0_28,c_0_34]) ).

cnf(c_0_43,negated_conjecture,
    ( subactivity_occurrence(esk8_1(esk1_0),X1)
    | ~ subactivity_occurrence(esk9_1(esk1_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_44,negated_conjecture,
    subactivity_occurrence(esk9_1(esk1_0),esk6_2(esk9_1(esk1_0),tptp0)),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_45,negated_conjecture,
    occurrence_of(esk6_2(esk9_1(esk1_0),tptp0),tptp0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_32]),c_0_33]) ).

fof(c_0_46,plain,
    ! [X19,X20] :
      ( ( ~ arboreal(X19)
        | atomic(X20)
        | ~ occurrence_of(X19,X20) )
      & ( ~ atomic(X20)
        | arboreal(X19)
        | ~ occurrence_of(X19,X20) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])]) ).

cnf(c_0_47,negated_conjecture,
    ( leaf_occ(X1,esk2_0)
    | occurrence_of(esk7_1(X1),tptp3)
    | ~ subactivity_occurrence(X1,esk2_0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_15]) ).

cnf(c_0_48,plain,
    ( leaf_occ(X1,X2)
    | next_subocc(X1,esk7_1(X1),tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_49,plain,
    ( X1 = X2
    | min_precedes(X2,X1,X3)
    | ~ arboreal(X2)
    | ~ leaf_occ(X1,X4)
    | ~ subactivity_occurrence(X2,X4)
    | ~ occurrence_of(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_50,negated_conjecture,
    ( subactivity_occurrence(esk7_1(esk1_0),X1)
    | ~ subactivity_occurrence(esk8_1(esk1_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_42]) ).

cnf(c_0_51,negated_conjecture,
    subactivity_occurrence(esk8_1(esk1_0),esk6_2(esk9_1(esk1_0),tptp0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).

cnf(c_0_52,plain,
    ( arboreal(X1)
    | ~ occurrence_of(X1,X2)
    | ~ atomic(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_53,negated_conjecture,
    occurrence_of(esk7_1(esk1_0),tptp3),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_20]),c_0_21])]),c_0_22]) ).

cnf(c_0_54,plain,
    atomic(tptp3),
    inference(split_conjunct,[status(thm)],[sos_55]) ).

cnf(c_0_55,negated_conjecture,
    ( leaf_occ(X1,esk2_0)
    | next_subocc(X1,esk7_1(X1),tptp0)
    | ~ subactivity_occurrence(X1,esk2_0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_15]) ).

cnf(c_0_56,negated_conjecture,
    ( esk9_1(esk1_0) = X1
    | min_precedes(X1,esk9_1(esk1_0),X2)
    | ~ subactivity_occurrence(X1,esk6_2(esk9_1(esk1_0),tptp0))
    | ~ arboreal(X1)
    | ~ occurrence_of(esk6_2(esk9_1(esk1_0),tptp0),X2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_38]) ).

cnf(c_0_57,negated_conjecture,
    subactivity_occurrence(esk7_1(esk1_0),esk6_2(esk9_1(esk1_0),tptp0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_45])]) ).

cnf(c_0_58,negated_conjecture,
    arboreal(esk7_1(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ leaf(X1,tptp0)
    | ~ min_precedes(X2,X1,tptp0)
    | ~ next_subocc(esk1_0,X2,tptp0)
    | ~ occurrence_of(X2,tptp3)
    | ~ occurrence_of(X1,tptp1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_60,negated_conjecture,
    next_subocc(esk1_0,esk7_1(esk1_0),tptp0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_20]),c_0_21])]),c_0_22]) ).

cnf(c_0_61,negated_conjecture,
    ( esk7_1(esk1_0) = esk9_1(esk1_0)
    | min_precedes(esk7_1(esk1_0),esk9_1(esk1_0),X1)
    | ~ occurrence_of(esk6_2(esk9_1(esk1_0),tptp0),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).

cnf(c_0_62,plain,
    ( leaf_occ(X1,X2)
    | occurrence_of(esk9_1(X1),tptp1)
    | occurrence_of(esk9_1(X1),tptp2)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ leaf(X1,tptp0)
    | ~ min_precedes(X2,X1,tptp0)
    | ~ next_subocc(esk1_0,X2,tptp0)
    | ~ occurrence_of(X2,tptp3)
    | ~ occurrence_of(X1,tptp2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_64,plain,
    ! [X61,X62,X64,X61,X62,X65] :
      ( ( root(X61,X62)
        | min_precedes(esk3_2(X61,X62),X61,X62)
        | ~ leaf(X61,X62) )
      & ( ~ min_precedes(X61,X64,X62)
        | ~ leaf(X61,X62) )
      & ( ~ root(X61,X62)
        | min_precedes(X61,esk4_2(X61,X62),X62)
        | leaf(X61,X62) )
      & ( ~ min_precedes(X65,X61,X62)
        | min_precedes(X61,esk4_2(X61,X62),X62)
        | leaf(X61,X62) ) ),
    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_21])])])])])])]) ).

cnf(c_0_65,negated_conjecture,
    ( ~ leaf(X1,tptp0)
    | ~ min_precedes(esk7_1(esk1_0),X1,tptp0)
    | ~ occurrence_of(X1,tptp1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_53])]) ).

cnf(c_0_66,negated_conjecture,
    ( esk7_1(esk1_0) = esk9_1(esk1_0)
    | min_precedes(esk7_1(esk1_0),esk9_1(esk1_0),tptp0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_45]) ).

cnf(c_0_67,negated_conjecture,
    ( leaf_occ(X1,esk2_0)
    | occurrence_of(esk9_1(X1),tptp2)
    | occurrence_of(esk9_1(X1),tptp1)
    | ~ subactivity_occurrence(X1,esk2_0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_15]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ leaf(X1,tptp0)
    | ~ min_precedes(esk7_1(esk1_0),X1,tptp0)
    | ~ occurrence_of(X1,tptp2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_60]),c_0_53])]) ).

cnf(c_0_69,plain,
    ( ~ leaf(X1,X2)
    | ~ min_precedes(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_70,negated_conjecture,
    ( esk7_1(esk1_0) = esk9_1(esk1_0)
    | ~ occurrence_of(esk9_1(esk1_0),tptp1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_32])]) ).

cnf(c_0_71,negated_conjecture,
    ( occurrence_of(esk9_1(esk1_0),tptp1)
    | occurrence_of(esk9_1(esk1_0),tptp2) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_20]),c_0_21])]),c_0_22]) ).

cnf(c_0_72,negated_conjecture,
    ( esk7_1(esk1_0) = esk9_1(esk1_0)
    | ~ occurrence_of(esk9_1(esk1_0),tptp2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_66]),c_0_32])]) ).

cnf(c_0_73,negated_conjecture,
    ~ leaf(esk7_1(esk1_0),tptp0),
    inference(spm,[status(thm)],[c_0_69,c_0_42]) ).

cnf(c_0_74,negated_conjecture,
    esk7_1(esk1_0) = esk9_1(esk1_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).

cnf(c_0_75,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74]),c_0_32])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PRO014+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n022.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 01:57:48 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.24/1.42  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.24/1.42  # Preprocessing time       : 0.018 s
% 0.24/1.42  
% 0.24/1.42  # Proof found!
% 0.24/1.42  # SZS status Theorem
% 0.24/1.42  # SZS output start CNFRefutation
% See solution above
% 0.24/1.42  # Proof object total steps             : 76
% 0.24/1.42  # Proof object clause steps            : 54
% 0.24/1.42  # Proof object formula steps           : 22
% 0.24/1.42  # Proof object conjectures             : 41
% 0.24/1.42  # Proof object clause conjectures      : 38
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 22
% 0.24/1.42  # Proof object initial formulas used   : 11
% 0.24/1.42  # Proof object generating inferences   : 31
% 0.24/1.42  # Proof object simplifying inferences  : 40
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 63
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 26
% 0.24/1.42  # Initial clauses                      : 65
% 0.24/1.42  # Removed in clause preprocessing      : 0
% 0.24/1.42  # Initial clauses in saturation        : 65
% 0.24/1.42  # Processed clauses                    : 1108
% 0.24/1.42  # ...of these trivial                  : 5
% 0.24/1.42  # ...subsumed                          : 212
% 0.24/1.42  # ...remaining for further processing  : 891
% 0.24/1.42  # Other redundant clauses eliminated   : 0
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 18
% 0.24/1.42  # Backward-rewritten                   : 242
% 0.24/1.42  # Generated clauses                    : 3232
% 0.24/1.42  # ...of the previous two non-trivial   : 3154
% 0.24/1.42  # Contextual simplify-reflections      : 132
% 0.24/1.42  # Paramodulations                      : 3230
% 0.24/1.42  # Factorizations                       : 0
% 0.24/1.42  # Equation resolutions                 : 0
% 0.24/1.42  # Current number of processed clauses  : 629
% 0.24/1.42  #    Positive orientable unit clauses  : 90
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 45
% 0.24/1.42  #    Non-unit-clauses                  : 494
% 0.24/1.42  # Current number of unprocessed clauses: 1540
% 0.24/1.42  # ...number of literals in the above   : 5844
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 262
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 57802
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 18630
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 244
% 0.24/1.42  # Unit Clause-clause subsumption calls : 4881
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 91
% 0.24/1.42  # BW rewrite match successes           : 17
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 87653
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.146 s
% 0.24/1.42  # System time              : 0.009 s
% 0.24/1.42  # Total time               : 0.155 s
% 0.24/1.42  # Maximum resident set size: 7436 pages
% 0.24/23.41  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.24/23.41  
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: CPU time limit exceeded, terminating
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50  eprover: No such file or directory
%------------------------------------------------------------------------------