TSTP Solution File: PRO003+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : PRO003+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% 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 17:43:33 EDT 2022

% Result   : Theorem 13.85s 3.00s
% Output   : CNFRefutation 13.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   26
% Syntax   : Number of clauses     :   97 (  40 unt;   6 nHn;  97 RR)
%            Number of literals    :  193 (  21 equ;  92 neg)
%            Maximal clause size   :    8 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-3 aty)
%            Number of variables   :  119 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_81,plain,
    ( next_subocc(X1,esk17_1(X1),tptp0)
    | ~ root_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6b8b9ygv/input.p',i_0_81) ).

cnf(i_0_83,negated_conjecture,
    occurrence_of(esk18_0,tptp0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6b8b9ygv/input.p',i_0_83) ).

cnf(i_0_67,plain,
    ( root_occ(esk15_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6b8b9ygv/input.p',i_0_67) ).

cnf(i_0_8,plain,
    ( min_precedes(X1,X2,X3)
    | ~ next_subocc(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6b8b9ygv/input.p',i_0_8) ).

cnf(i_0_44,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6b8b9ygv/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-6b8b9ygv/input.p',i_0_20) ).

cnf(i_0_82,plain,
    ( occurrence_of(esk17_1(X1),tptp1)
    | ~ root_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6b8b9ygv/input.p',i_0_82) ).

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-6b8b9ygv/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-6b8b9ygv/input.p',i_0_48) ).

cnf(i_0_18,plain,
    ( root(X1,esk2_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6b8b9ygv/input.p',i_0_18) ).

cnf(i_0_17,plain,
    ( root_occ(X1,X2)
    | ~ occurrence_of(X2,X3)
    | ~ root(X1,X3)
    | ~ subactivity_occurrence(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6b8b9ygv/input.p',i_0_17) ).

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-6b8b9ygv/input.p',i_0_47) ).

cnf(i_0_26,plain,
    ( arboreal(X1)
    | ~ atomic(X2)
    | ~ occurrence_of(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6b8b9ygv/input.p',i_0_26) ).

cnf(i_0_74,plain,
    atomic(tptp1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6b8b9ygv/input.p',i_0_74) ).

cnf(i_0_65,plain,
    ( leaf_occ(esk16_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6b8b9ygv/input.p',i_0_65) ).

cnf(i_0_66,plain,
    ( occurrence_of(esk16_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6b8b9ygv/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-6b8b9ygv/input.p',i_0_64) ).

cnf(i_0_3,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X4)
    | ~ root_occ(X2,X3)
    | ~ root_occ(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6b8b9ygv/input.p',i_0_3) ).

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-6b8b9ygv/input.p',i_0_58) ).

cnf(i_0_23,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ leaf_occ(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6b8b9ygv/input.p',i_0_23) ).

cnf(i_0_72,plain,
    atomic(tptp3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6b8b9ygv/input.p',i_0_72) ).

cnf(i_0_24,plain,
    ( occurrence_of(X1,esk3_2(X2,X1))
    | ~ leaf_occ(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6b8b9ygv/input.p',i_0_24) ).

cnf(i_0_22,plain,
    ( leaf(X1,esk3_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6b8b9ygv/input.p',i_0_22) ).

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-6b8b9ygv/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-6b8b9ygv/input.p',i_0_30) ).

cnf(i_0_78,plain,
    tptp1 != tptp3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6b8b9ygv/input.p',i_0_78) ).

cnf(c_0_110,plain,
    ( next_subocc(X1,esk17_1(X1),tptp0)
    | ~ root_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    i_0_81 ).

cnf(c_0_111,negated_conjecture,
    occurrence_of(esk18_0,tptp0),
    i_0_83 ).

cnf(c_0_112,plain,
    ( root_occ(esk15_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_67 ).

cnf(c_0_113,negated_conjecture,
    ( next_subocc(X1,esk17_1(X1),tptp0)
    | ~ root_occ(X1,esk18_0) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_114,negated_conjecture,
    root_occ(esk15_1(esk18_0),esk18_0),
    inference(spm,[status(thm)],[c_0_112,c_0_111]) ).

cnf(c_0_115,plain,
    ( min_precedes(X1,X2,X3)
    | ~ next_subocc(X1,X2,X3) ),
    i_0_8 ).

cnf(c_0_116,negated_conjecture,
    next_subocc(esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)),tptp0),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_117,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    i_0_44 ).

cnf(c_0_118,plain,
    ( occurrence_of(X1,esk2_2(X2,X1))
    | ~ root_occ(X2,X1) ),
    i_0_20 ).

cnf(c_0_119,plain,
    ( occurrence_of(esk17_1(X1),tptp1)
    | ~ root_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    i_0_82 ).

cnf(c_0_120,plain,
    ( occurrence_of(esk9_3(X1,X2,X3),X1)
    | ~ min_precedes(X2,X3,X1) ),
    i_0_49 ).

cnf(c_0_121,plain,
    min_precedes(esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)),tptp0),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_122,plain,
    ( subactivity_occurrence(X1,esk9_3(X2,X1,X3))
    | ~ min_precedes(X1,X3,X2) ),
    i_0_48 ).

cnf(c_0_123,plain,
    ( root(X1,esk2_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    i_0_18 ).

cnf(c_0_124,negated_conjecture,
    ( X1 = tptp0
    | ~ occurrence_of(esk18_0,X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_111]) ).

cnf(c_0_125,plain,
    occurrence_of(esk18_0,esk2_2(esk15_1(esk18_0),esk18_0)),
    inference(spm,[status(thm)],[c_0_118,c_0_114]) ).

cnf(c_0_126,negated_conjecture,
    ( occurrence_of(esk17_1(X1),tptp1)
    | ~ root_occ(X1,esk18_0) ),
    inference(spm,[status(thm)],[c_0_119,c_0_111]) ).

cnf(c_0_127,plain,
    occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),tptp0),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_128,plain,
    ( root_occ(X1,X2)
    | ~ occurrence_of(X2,X3)
    | ~ root(X1,X3)
    | ~ subactivity_occurrence(X1,X2) ),
    i_0_17 ).

cnf(c_0_129,plain,
    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_122,c_0_121]) ).

cnf(c_0_130,negated_conjecture,
    root(esk15_1(esk18_0),esk2_2(esk15_1(esk18_0),esk18_0)),
    inference(spm,[status(thm)],[c_0_123,c_0_114]) ).

cnf(c_0_131,negated_conjecture,
    esk2_2(esk15_1(esk18_0),esk18_0) = tptp0,
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_132,plain,
    ( subactivity_occurrence(X1,esk9_3(X2,X3,X1))
    | ~ min_precedes(X3,X1,X2) ),
    i_0_47 ).

cnf(c_0_133,plain,
    ( arboreal(X1)
    | ~ atomic(X2)
    | ~ occurrence_of(X1,X2) ),
    i_0_26 ).

cnf(c_0_134,negated_conjecture,
    occurrence_of(esk17_1(esk15_1(esk18_0)),tptp1),
    inference(spm,[status(thm)],[c_0_126,c_0_114]) ).

cnf(c_0_135,plain,
    atomic(tptp1),
    i_0_74 ).

cnf(c_0_136,plain,
    ( leaf_occ(esk16_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_65 ).

cnf(c_0_137,plain,
    ( occurrence_of(esk16_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_66 ).

cnf(c_0_138,plain,
    ( next_subocc(esk15_1(X1),esk16_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_64 ).

cnf(c_0_139,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X4)
    | ~ root_occ(X2,X3)
    | ~ root_occ(X1,X3) ),
    i_0_3 ).

cnf(c_0_140,plain,
    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_112,c_0_127]) ).

cnf(c_0_141,plain,
    ( root_occ(esk15_1(esk18_0),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
    | ~ root(esk15_1(esk18_0),X1)
    | ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_142,negated_conjecture,
    root(esk15_1(esk18_0),tptp0),
    inference(rw,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_143,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_144,plain,
    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_132,c_0_121]) ).

cnf(c_0_145,plain,
    arboreal(esk17_1(esk15_1(esk18_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135])]) ).

cnf(c_0_146,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ leaf_occ(X1,X2) ),
    i_0_23 ).

cnf(c_0_147,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)))),
    inference(spm,[status(thm)],[c_0_136,c_0_127]) ).

cnf(c_0_148,plain,
    occurrence_of(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp3),
    inference(spm,[status(thm)],[c_0_137,c_0_127]) ).

cnf(c_0_149,plain,
    atomic(tptp3),
    i_0_72 ).

cnf(c_0_150,plain,
    ( occurrence_of(X1,esk3_2(X2,X1))
    | ~ leaf_occ(X2,X1) ),
    i_0_24 ).

cnf(c_0_151,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),
    inference(spm,[status(thm)],[c_0_138,c_0_127]) ).

cnf(c_0_152,plain,
    ( X1 = esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
    | ~ root_occ(X1,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))),X2) ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_153,plain,
    root_occ(esk15_1(esk18_0),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_141,c_0_127]),c_0_142])]) ).

cnf(c_0_154,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)
    | ~ 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_143,c_0_144]),c_0_145])]) ).

cnf(c_0_155,plain,
    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_146,c_0_147]) ).

cnf(c_0_156,plain,
    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_133,c_0_148]),c_0_149])]) ).

cnf(c_0_157,plain,
    ( leaf(X1,esk3_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    i_0_22 ).

cnf(c_0_158,plain,
    ( X1 = tptp0
    | ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_127]) ).

cnf(c_0_159,plain,
    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_150,c_0_147]) ).

cnf(c_0_160,plain,
    min_precedes(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),
    inference(spm,[status(thm)],[c_0_115,c_0_151]) ).

cnf(c_0_161,plain,
    ( esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = 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_152,c_0_153]) ).

cnf(c_0_162,plain,
    ( esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk17_1(esk15_1(esk18_0))
    | min_precedes(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk17_1(esk15_1(esk18_0)),X1)
    | min_precedes(esk17_1(esk15_1(esk18_0)),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),X1)
    | ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156])]) ).

cnf(c_0_163,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))))),
    inference(spm,[status(thm)],[c_0_157,c_0_147]) ).

cnf(c_0_164,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,
    inference(spm,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_165,plain,
    occurrence_of(esk9_3(tptp0,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),
    inference(spm,[status(thm)],[c_0_120,c_0_160]) ).

cnf(c_0_166,plain,
    esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk15_1(esk18_0),
    inference(spm,[status(thm)],[c_0_161,c_0_127]) ).

cnf(c_0_167,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ min_precedes(X4,X1,X3)
    | ~ next_subocc(X4,X2,X3) ),
    i_0_7 ).

cnf(c_0_168,plain,
    ( ~ leaf(X1,X2)
    | ~ min_precedes(X1,X3,X2) ),
    i_0_30 ).

cnf(c_0_169,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) ),
    inference(spm,[status(thm)],[c_0_162,c_0_127]) ).

cnf(c_0_170,plain,
    leaf(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0),
    inference(rw,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_171,plain,
    occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))),tptp0),
    inference(rw,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_172,plain,
    ( ~ min_precedes(esk17_1(esk15_1(esk18_0)),X1,tptp0)
    | ~ next_subocc(esk15_1(esk18_0),X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_167,c_0_121]) ).

cnf(c_0_173,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) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170])]) ).

cnf(c_0_174,plain,
    next_subocc(esk15_1(esk18_0),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0),
    inference(rw,[status(thm)],[c_0_151,c_0_166]) ).

cnf(c_0_175,plain,
    occurrence_of(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))))),tptp3),
    inference(spm,[status(thm)],[c_0_137,c_0_171]) ).

cnf(c_0_176,plain,
    esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk17_1(esk15_1(esk18_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174])]) ).

cnf(c_0_177,plain,
    ( X1 = tptp1
    | ~ occurrence_of(esk17_1(esk15_1(esk18_0)),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_134]) ).

cnf(c_0_178,plain,
    occurrence_of(esk17_1(esk15_1(esk18_0)),tptp3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_176]),c_0_176]) ).

cnf(c_0_179,plain,
    tptp1 != tptp3,
    i_0_78 ).

cnf(c_0_180,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : PRO003+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 13 03:23:28 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 13.85/3.00  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 13.85/3.00  # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 13.85/3.00  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 20; version: 991; iters: 150)
% 13.85/3.00  # Preprocessing time       : 0.712 s
% 13.85/3.00  
% 13.85/3.00  # Proof found!
% 13.85/3.00  # SZS status Theorem
% 13.85/3.00  # SZS output start CNFRefutation
% See solution above
% 13.85/3.00  # Training examples: 0 positive, 0 negative
% 13.85/3.00  
% 13.85/3.00  # -------------------------------------------------
% 13.85/3.00  # User time                : 0.695 s
% 13.85/3.00  # System time              : 0.103 s
% 13.85/3.00  # Total time               : 0.798 s
% 13.85/3.00  # ...preprocessing         : 0.712 s
% 13.85/3.00  # ...main loop             : 0.086 s
% 13.85/3.00  # Maximum resident set size: 151624 pages
% 13.85/3.00  
%------------------------------------------------------------------------------