TSTP Solution File: PRO006+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : PRO006+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% 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 17:43:37 EDT 2022

% Result   : Theorem 17.45s 3.64s
% Output   : CNFRefutation 17.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   29
% Syntax   : Number of clauses     :  116 (  22 unt;  45 nHn; 116 RR)
%            Number of literals    :  281 (  25 equ; 112 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :  133 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_67,plain,
    ( root_occ(esk15_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_67) ).

cnf(i_0_83,negated_conjecture,
    occurrence_of(esk18_0,tptp0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_83) ).

cnf(i_0_68,plain,
    ( occurrence_of(esk15_1(X1),tptp4)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_68) ).

cnf(i_0_19,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ root_occ(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_19) ).

cnf(i_0_26,plain,
    ( arboreal(X1)
    | ~ atomic(X2)
    | ~ occurrence_of(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_26) ).

cnf(i_0_71,plain,
    atomic(tptp4),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_71) ).

cnf(i_0_81,plain,
    ( leaf_occ(X1,X2)
    | next_subocc(X1,esk17_1(X1),tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_81) ).

cnf(i_0_8,plain,
    ( min_precedes(X1,X2,X3)
    | ~ next_subocc(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_8) ).

cnf(i_0_49,plain,
    ( occurrence_of(esk9_3(X1,X2,X3),X1)
    | ~ min_precedes(X2,X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_49) ).

cnf(i_0_48,plain,
    ( subactivity_occurrence(X1,esk9_3(X2,X1,X3))
    | ~ min_precedes(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_48) ).

cnf(i_0_44,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_44) ).

cnf(i_0_20,plain,
    ( occurrence_of(X1,esk2_2(X2,X1))
    | ~ root_occ(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_20) ).

cnf(i_0_58,plain,
    ( X1 = X2
    | min_precedes(X2,X1,X3)
    | min_precedes(X1,X2,X3)
    | ~ arboreal(X2)
    | ~ arboreal(X1)
    | ~ occurrence_of(X4,X3)
    | ~ subactivity_occurrence(X2,X4)
    | ~ subactivity_occurrence(X1,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_58) ).

cnf(i_0_47,plain,
    ( subactivity_occurrence(X1,esk9_3(X2,X3,X1))
    | ~ min_precedes(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_47) ).

cnf(i_0_82,plain,
    ( leaf_occ(X1,X2)
    | occurrence_of(esk17_1(X1),tptp1)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_82) ).

cnf(i_0_18,plain,
    ( root(X1,esk2_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_18) ).

cnf(i_0_65,plain,
    ( leaf_occ(esk16_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_65) ).

cnf(i_0_74,plain,
    atomic(tptp1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_74) ).

cnf(i_0_12,plain,
    ( ~ root(X1,X2)
    | ~ min_precedes(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_12) ).

cnf(i_0_24,plain,
    ( occurrence_of(X1,esk3_2(X2,X1))
    | ~ leaf_occ(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_24) ).

cnf(i_0_23,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ leaf_occ(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_23) ).

cnf(i_0_66,plain,
    ( occurrence_of(esk16_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_66) ).

cnf(i_0_64,plain,
    ( next_subocc(esk15_1(X1),esk16_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_64) ).

cnf(i_0_22,plain,
    ( leaf(X1,esk3_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_22) ).

cnf(i_0_72,plain,
    atomic(tptp3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_72) ).

cnf(i_0_7,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ min_precedes(X4,X1,X3)
    | ~ next_subocc(X4,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_7) ).

cnf(i_0_30,plain,
    ( ~ leaf(X1,X2)
    | ~ min_precedes(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_30) ).

cnf(i_0_78,plain,
    tptp1 != tptp3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_78) ).

cnf(i_0_43,plain,
    ( ~ occurrence_of(X1,X2)
    | ~ leaf_occ(X3,X1)
    | ~ min_precedes(X3,X4,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-292z357j/input.p',i_0_43) ).

cnf(c_0_113,plain,
    ( root_occ(esk15_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_67 ).

cnf(c_0_114,negated_conjecture,
    occurrence_of(esk18_0,tptp0),
    i_0_83 ).

cnf(c_0_115,plain,
    ( occurrence_of(esk15_1(X1),tptp4)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_68 ).

cnf(c_0_116,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ root_occ(X1,X2) ),
    i_0_19 ).

cnf(c_0_117,negated_conjecture,
    root_occ(esk15_1(esk18_0),esk18_0),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_118,plain,
    ( arboreal(X1)
    | ~ atomic(X2)
    | ~ occurrence_of(X1,X2) ),
    i_0_26 ).

cnf(c_0_119,negated_conjecture,
    occurrence_of(esk15_1(esk18_0),tptp4),
    inference(spm,[status(thm)],[c_0_115,c_0_114]) ).

cnf(c_0_120,plain,
    atomic(tptp4),
    i_0_71 ).

cnf(c_0_121,plain,
    ( leaf_occ(X1,X2)
    | next_subocc(X1,esk17_1(X1),tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    i_0_81 ).

cnf(c_0_122,plain,
    subactivity_occurrence(esk15_1(esk18_0),esk18_0),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_123,negated_conjecture,
    arboreal(esk15_1(esk18_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120])]) ).

cnf(c_0_124,plain,
    ( min_precedes(X1,X2,X3)
    | ~ next_subocc(X1,X2,X3) ),
    i_0_8 ).

cnf(c_0_125,plain,
    ( next_subocc(esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)),tptp0)
    | leaf_occ(esk15_1(esk18_0),esk18_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]),c_0_114])]) ).

cnf(c_0_126,plain,
    ( occurrence_of(esk9_3(X1,X2,X3),X1)
    | ~ min_precedes(X2,X3,X1) ),
    i_0_49 ).

cnf(c_0_127,plain,
    ( min_precedes(esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)),tptp0)
    | leaf_occ(esk15_1(esk18_0),esk18_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_128,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),tptp0) ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_129,plain,
    ( subactivity_occurrence(X1,esk9_3(X2,X1,X3))
    | ~ min_precedes(X1,X3,X2) ),
    i_0_48 ).

cnf(c_0_130,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    i_0_44 ).

cnf(c_0_131,plain,
    ( occurrence_of(X1,esk2_2(X2,X1))
    | ~ root_occ(X2,X1) ),
    i_0_20 ).

cnf(c_0_132,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | root_occ(esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) ),
    inference(spm,[status(thm)],[c_0_113,c_0_128]) ).

cnf(c_0_133,plain,
    ( X1 = X2
    | min_precedes(X2,X1,X3)
    | min_precedes(X1,X2,X3)
    | ~ arboreal(X2)
    | ~ arboreal(X1)
    | ~ occurrence_of(X4,X3)
    | ~ subactivity_occurrence(X2,X4)
    | ~ subactivity_occurrence(X1,X4) ),
    i_0_58 ).

cnf(c_0_134,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | subactivity_occurrence(esk15_1(esk18_0),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) ),
    inference(spm,[status(thm)],[c_0_129,c_0_127]) ).

cnf(c_0_135,negated_conjecture,
    ( X1 = tptp0
    | ~ occurrence_of(esk18_0,X1) ),
    inference(spm,[status(thm)],[c_0_130,c_0_114]) ).

cnf(c_0_136,plain,
    occurrence_of(esk18_0,esk2_2(esk15_1(esk18_0),esk18_0)),
    inference(spm,[status(thm)],[c_0_131,c_0_117]) ).

cnf(c_0_137,plain,
    ( subactivity_occurrence(X1,esk9_3(X2,X3,X1))
    | ~ min_precedes(X3,X1,X2) ),
    i_0_47 ).

cnf(c_0_138,plain,
    ( leaf_occ(X1,X2)
    | occurrence_of(esk17_1(X1),tptp1)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    i_0_82 ).

cnf(c_0_139,plain,
    ( root(X1,esk2_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    i_0_18 ).

cnf(c_0_140,plain,
    ( X1 = tptp0
    | leaf_occ(esk15_1(esk18_0),esk18_0)
    | ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X1) ),
    inference(spm,[status(thm)],[c_0_130,c_0_128]) ).

cnf(c_0_141,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),esk2_2(esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))) ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_142,plain,
    ( X1 = esk15_1(esk18_0)
    | min_precedes(esk15_1(esk18_0),X1,X2)
    | min_precedes(X1,esk15_1(esk18_0),X2)
    | leaf_occ(esk15_1(esk18_0),esk18_0)
    | ~ subactivity_occurrence(X1,esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
    | ~ arboreal(X1)
    | ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_123])]) ).

cnf(c_0_143,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | subactivity_occurrence(esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) ),
    inference(spm,[status(thm)],[c_0_116,c_0_132]) ).

cnf(c_0_144,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | occurrence_of(esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp4) ),
    inference(spm,[status(thm)],[c_0_115,c_0_128]) ).

cnf(c_0_145,negated_conjecture,
    esk2_2(esk15_1(esk18_0),esk18_0) = tptp0,
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_146,plain,
    ( leaf_occ(esk16_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_65 ).

cnf(c_0_147,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | subactivity_occurrence(esk17_1(esk15_1(esk18_0)),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) ),
    inference(spm,[status(thm)],[c_0_137,c_0_127]) ).

cnf(c_0_148,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | occurrence_of(esk17_1(esk15_1(esk18_0)),tptp1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_122]),c_0_123]),c_0_114])]) ).

cnf(c_0_149,plain,
    atomic(tptp1),
    i_0_74 ).

cnf(c_0_150,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | root(esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk2_2(esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))) ),
    inference(spm,[status(thm)],[c_0_139,c_0_132]) ).

cnf(c_0_151,plain,
    ( esk2_2(esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = tptp0
    | leaf_occ(esk15_1(esk18_0),esk18_0) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_152,plain,
    ( esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk15_1(esk18_0)
    | min_precedes(esk15_1(esk18_0),esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),X1)
    | min_precedes(esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk15_1(esk18_0),X1)
    | leaf_occ(esk15_1(esk18_0),esk18_0)
    | ~ arboreal(esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))))
    | ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X1) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_153,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | arboreal(esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_144]),c_0_120])]) ).

cnf(c_0_154,plain,
    ( ~ root(X1,X2)
    | ~ min_precedes(X3,X1,X2) ),
    i_0_12 ).

cnf(c_0_155,plain,
    root(esk15_1(esk18_0),tptp0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_117]),c_0_145]) ).

cnf(c_0_156,plain,
    ( occurrence_of(X1,esk3_2(X2,X1))
    | ~ leaf_occ(X2,X1) ),
    i_0_24 ).

cnf(c_0_157,plain,
    ( leaf_occ(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
    | leaf_occ(esk15_1(esk18_0),esk18_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_128]) ).

cnf(c_0_158,plain,
    ( X1 = esk17_1(esk15_1(esk18_0))
    | min_precedes(esk17_1(esk15_1(esk18_0)),X1,X2)
    | min_precedes(X1,esk17_1(esk15_1(esk18_0)),X2)
    | leaf_occ(esk15_1(esk18_0),esk18_0)
    | ~ subactivity_occurrence(X1,esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
    | ~ arboreal(esk17_1(esk15_1(esk18_0)))
    | ~ arboreal(X1)
    | ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X2) ),
    inference(spm,[status(thm)],[c_0_133,c_0_147]) ).

cnf(c_0_159,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | arboreal(esk17_1(esk15_1(esk18_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_148]),c_0_149])]) ).

cnf(c_0_160,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ leaf_occ(X1,X2) ),
    i_0_23 ).

cnf(c_0_161,plain,
    ( occurrence_of(esk16_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_66 ).

cnf(c_0_162,plain,
    ( next_subocc(esk15_1(X1),esk16_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_64 ).

cnf(c_0_163,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | root(esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0) ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_164,plain,
    ( esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk15_1(esk18_0)
    | min_precedes(esk15_1(esk18_0),esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),X1)
    | min_precedes(esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk15_1(esk18_0),X1)
    | leaf_occ(esk15_1(esk18_0),esk18_0)
    | ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X1) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_165,plain,
    ~ min_precedes(X1,esk15_1(esk18_0),tptp0),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_166,plain,
    ( leaf(X1,esk3_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    i_0_22 ).

cnf(c_0_167,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),esk3_2(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))) ),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_168,plain,
    ( X1 = esk17_1(esk15_1(esk18_0))
    | min_precedes(esk17_1(esk15_1(esk18_0)),X1,X2)
    | min_precedes(X1,esk17_1(esk15_1(esk18_0)),X2)
    | leaf_occ(esk15_1(esk18_0),esk18_0)
    | ~ subactivity_occurrence(X1,esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
    | ~ arboreal(X1)
    | ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X2) ),
    inference(spm,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_169,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | subactivity_occurrence(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) ),
    inference(spm,[status(thm)],[c_0_160,c_0_157]) ).

cnf(c_0_170,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | occurrence_of(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp3) ),
    inference(spm,[status(thm)],[c_0_161,c_0_128]) ).

cnf(c_0_171,plain,
    atomic(tptp3),
    i_0_72 ).

cnf(c_0_172,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ min_precedes(X4,X1,X3)
    | ~ next_subocc(X4,X2,X3) ),
    i_0_7 ).

cnf(c_0_173,plain,
    ( next_subocc(esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0)
    | leaf_occ(esk15_1(esk18_0),esk18_0) ),
    inference(spm,[status(thm)],[c_0_162,c_0_128]) ).

cnf(c_0_174,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | ~ min_precedes(X1,esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0) ),
    inference(spm,[status(thm)],[c_0_154,c_0_163]) ).

cnf(c_0_175,plain,
    ( esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk15_1(esk18_0)
    | min_precedes(esk15_1(esk18_0),esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0)
    | leaf_occ(esk15_1(esk18_0),esk18_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_128]),c_0_165]) ).

cnf(c_0_176,plain,
    ( leaf(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk3_2(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))))
    | leaf_occ(esk15_1(esk18_0),esk18_0) ),
    inference(spm,[status(thm)],[c_0_166,c_0_157]) ).

cnf(c_0_177,plain,
    ( esk3_2(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = tptp0
    | leaf_occ(esk15_1(esk18_0),esk18_0) ),
    inference(spm,[status(thm)],[c_0_140,c_0_167]) ).

cnf(c_0_178,plain,
    ( esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk17_1(esk15_1(esk18_0))
    | min_precedes(esk17_1(esk15_1(esk18_0)),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),X1)
    | min_precedes(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk17_1(esk15_1(esk18_0)),X1)
    | leaf_occ(esk15_1(esk18_0),esk18_0)
    | ~ arboreal(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))))
    | ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X1) ),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_179,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | arboreal(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_170]),c_0_171])]) ).

cnf(c_0_180,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | ~ min_precedes(esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),X1,tptp0)
    | ~ min_precedes(X1,esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_181,plain,
    ( esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk15_1(esk18_0)
    | leaf_occ(esk15_1(esk18_0),esk18_0) ),
    inference(spm,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_182,plain,
    ( ~ leaf(X1,X2)
    | ~ min_precedes(X1,X3,X2) ),
    i_0_30 ).

cnf(c_0_183,plain,
    ( leaf(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0)
    | leaf_occ(esk15_1(esk18_0),esk18_0) ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_184,plain,
    ( esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk17_1(esk15_1(esk18_0))
    | min_precedes(esk17_1(esk15_1(esk18_0)),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),X1)
    | min_precedes(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk17_1(esk15_1(esk18_0)),X1)
    | leaf_occ(esk15_1(esk18_0),esk18_0)
    | ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X1) ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_185,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | ~ min_precedes(X1,esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0)
    | ~ min_precedes(esk15_1(esk18_0),X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_180,c_0_181]) ).

cnf(c_0_186,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | ~ min_precedes(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_187,plain,
    ( esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk17_1(esk15_1(esk18_0))
    | min_precedes(esk17_1(esk15_1(esk18_0)),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0)
    | min_precedes(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk17_1(esk15_1(esk18_0)),tptp0)
    | leaf_occ(esk15_1(esk18_0),esk18_0) ),
    inference(spm,[status(thm)],[c_0_184,c_0_128]) ).

cnf(c_0_188,plain,
    ( leaf_occ(esk15_1(esk18_0),esk18_0)
    | ~ min_precedes(esk17_1(esk15_1(esk18_0)),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0) ),
    inference(spm,[status(thm)],[c_0_185,c_0_127]) ).

cnf(c_0_189,plain,
    ( esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk17_1(esk15_1(esk18_0))
    | min_precedes(esk17_1(esk15_1(esk18_0)),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0)
    | leaf_occ(esk15_1(esk18_0),esk18_0) ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_190,plain,
    ( X1 = tptp3
    | leaf_occ(esk15_1(esk18_0),esk18_0)
    | ~ occurrence_of(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),X1) ),
    inference(spm,[status(thm)],[c_0_130,c_0_170]) ).

cnf(c_0_191,plain,
    ( esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk17_1(esk15_1(esk18_0))
    | leaf_occ(esk15_1(esk18_0),esk18_0) ),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_192,plain,
    ( X1 = tptp3
    | leaf_occ(esk15_1(esk18_0),esk18_0)
    | ~ occurrence_of(esk17_1(esk15_1(esk18_0)),X1) ),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_193,plain,
    tptp1 != tptp3,
    i_0_78 ).

cnf(c_0_194,plain,
    ( ~ occurrence_of(X1,X2)
    | ~ leaf_occ(X3,X1)
    | ~ min_precedes(X3,X4,X2) ),
    i_0_43 ).

cnf(c_0_195,plain,
    leaf_occ(esk15_1(esk18_0),esk18_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_148]),c_0_193]) ).

cnf(c_0_196,negated_conjecture,
    next_subocc(esk15_1(esk18_0),esk16_1(esk18_0),tptp0),
    inference(spm,[status(thm)],[c_0_162,c_0_114]) ).

cnf(c_0_197,plain,
    ( ~ min_precedes(esk15_1(esk18_0),X1,X2)
    | ~ occurrence_of(esk18_0,X2) ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_198,plain,
    min_precedes(esk15_1(esk18_0),esk16_1(esk18_0),tptp0),
    inference(spm,[status(thm)],[c_0_124,c_0_196]) ).

cnf(c_0_199,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_114])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : PRO006+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jun 13 03:44:05 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected complete mode:
% 17.45/3.64  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 17.45/3.64  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 20; version: 991; iters: 150)
% 17.45/3.64  # Preprocessing time       : 0.876 s
% 17.45/3.64  # Presaturation interreduction done
% 17.45/3.64  
% 17.45/3.64  # Proof found!
% 17.45/3.64  # SZS status Theorem
% 17.45/3.64  # SZS output start CNFRefutation
% See solution above
% 17.45/3.64  # Training examples: 0 positive, 0 negative
% 17.45/3.64  
% 17.45/3.64  # -------------------------------------------------
% 17.45/3.64  # User time                : 0.842 s
% 17.45/3.64  # System time              : 0.141 s
% 17.45/3.64  # Total time               : 0.983 s
% 17.45/3.64  # ...preprocessing         : 0.876 s
% 17.45/3.64  # ...main loop             : 0.106 s
% 17.45/3.64  # Maximum resident set size: 166536 pages
% 17.45/3.64  
%------------------------------------------------------------------------------