TSTP Solution File: PRO012+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : PRO012+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 17:43:43 EDT 2022

% Result   : Theorem 8.65s 2.43s
% Output   : CNFRefutation 8.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   34
% Syntax   : Number of clauses     :  135 (  50 unt;  18 nHn; 135 RR)
%            Number of literals    :  288 (  29 equ; 143 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :  163 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_66,plain,
    ( root_occ(esk13_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_66) ).

cnf(i_0_82,negated_conjecture,
    occurrence_of(esk16_0,tptp0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_82) ).

cnf(i_0_15,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_15) ).

cnf(i_0_41,plain,
    ( occurrence_of(X1,esk10_2(X2,X1))
    | ~ root_occ(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_41) ).

cnf(i_0_39,plain,
    ( root(X1,esk10_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_39) ).

cnf(i_0_64,plain,
    ( min_precedes(esk13_1(X1),esk14_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_64) ).

cnf(i_0_38,plain,
    ( root_occ(X1,X2)
    | ~ occurrence_of(X2,X3)
    | ~ root(X1,X3)
    | ~ subactivity_occurrence(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_38) ).

cnf(i_0_12,plain,
    ( occurrence_of(esk3_3(X1,X2,X3),X1)
    | ~ min_precedes(X2,X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_12) ).

cnf(i_0_11,plain,
    ( subactivity_occurrence(X1,esk3_3(X2,X1,X3))
    | ~ min_precedes(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_11) ).

cnf(i_0_58,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X4)
    | ~ root_occ(X2,X3)
    | ~ root_occ(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_58) ).

cnf(i_0_5,plain,
    ( activity_occurrence(X1)
    | ~ occurrence_of(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_5) ).

cnf(i_0_62,plain,
    ( min_precedes(esk14_1(X1),esk15_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_62) ).

cnf(i_0_20,plain,
    ( occurrence_of(X1,esk5_1(X1))
    | ~ activity_occurrence(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_20) ).

cnf(i_0_67,plain,
    ( occurrence_of(esk13_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_67) ).

cnf(i_0_56,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,X3)
    | ~ subactivity_occurrence(X4,X2)
    | ~ min_precedes(X1,X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_56) ).

cnf(i_0_61,plain,
    ( X1 = esk14_1(X2)
    | X1 = esk15_1(X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ min_precedes(esk13_1(X2),X1,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_61) ).

cnf(i_0_80,negated_conjecture,
    ( ~ occurrence_of(X1,tptp3)
    | ~ occurrence_of(X2,tptp1)
    | ~ root_occ(X1,esk16_0)
    | ~ min_precedes(X1,X2,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_80) ).

cnf(i_0_63,plain,
    ( occurrence_of(esk15_1(X1),tptp2)
    | occurrence_of(esk15_1(X1),tptp1)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_63) ).

cnf(i_0_81,negated_conjecture,
    ( ~ occurrence_of(X1,tptp3)
    | ~ occurrence_of(X2,tptp2)
    | ~ root_occ(X1,esk16_0)
    | ~ min_precedes(X1,X2,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_81) ).

cnf(i_0_2,plain,
    ( atomic(X1)
    | root(esk1_2(X1,X2),X1)
    | ~ occurrence_of(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_2) ).

cnf(i_0_69,plain,
    ~ atomic(tptp0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_69) ).

cnf(i_0_49,plain,
    ( precedes(X1,X2)
    | ~ min_precedes(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_49) ).

cnf(i_0_1,plain,
    ( atomic(X1)
    | subactivity_occurrence(esk1_2(X1,X2),X2)
    | ~ occurrence_of(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_1) ).

cnf(i_0_44,plain,
    ( legal(X1)
    | ~ precedes(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_44) ).

cnf(i_0_10,plain,
    ( subactivity_occurrence(X1,esk3_3(X2,X3,X1))
    | ~ min_precedes(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_10) ).

cnf(i_0_22,plain,
    ( arboreal(X1)
    | ~ legal(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_22) ).

cnf(i_0_7,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-tss2k7lg/input.p',i_0_7) ).

cnf(i_0_31,plain,
    ( arboreal(X1)
    | ~ atomic(X2)
    | ~ occurrence_of(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_31) ).

cnf(i_0_73,plain,
    atomic(tptp3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_73) ).

cnf(i_0_45,plain,
    ( earlier(X1,X2)
    | ~ precedes(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_45) ).

cnf(i_0_59,plain,
    ( earlier(X1,X2)
    | ~ earlier(X3,X2)
    | ~ earlier(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_59) ).

cnf(i_0_60,plain,
    ( min_precedes(X1,X2,X3)
    | ~ precedes(X1,X2)
    | ~ min_precedes(X4,X2,X3)
    | ~ min_precedes(X4,X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_60) ).

cnf(i_0_46,plain,
    ( ~ root(X1,X2)
    | ~ min_precedes(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_46) ).

cnf(i_0_43,plain,
    ( precedes(X1,X2)
    | ~ legal(X2)
    | ~ earlier(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tss2k7lg/input.p',i_0_43) ).

cnf(c_0_117,plain,
    ( root_occ(esk13_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_66 ).

cnf(c_0_118,negated_conjecture,
    occurrence_of(esk16_0,tptp0),
    i_0_82 ).

cnf(c_0_119,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    i_0_15 ).

cnf(c_0_120,plain,
    ( occurrence_of(X1,esk10_2(X2,X1))
    | ~ root_occ(X2,X1) ),
    i_0_41 ).

cnf(c_0_121,negated_conjecture,
    root_occ(esk13_1(esk16_0),esk16_0),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_122,negated_conjecture,
    ( X1 = tptp0
    | ~ occurrence_of(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_119,c_0_118]) ).

cnf(c_0_123,plain,
    occurrence_of(esk16_0,esk10_2(esk13_1(esk16_0),esk16_0)),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_124,plain,
    ( root(X1,esk10_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    i_0_39 ).

cnf(c_0_125,negated_conjecture,
    esk10_2(esk13_1(esk16_0),esk16_0) = tptp0,
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_126,plain,
    ( min_precedes(esk13_1(X1),esk14_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_64 ).

cnf(c_0_127,plain,
    ( root_occ(X1,X2)
    | ~ occurrence_of(X2,X3)
    | ~ root(X1,X3)
    | ~ subactivity_occurrence(X1,X2) ),
    i_0_38 ).

cnf(c_0_128,plain,
    root(esk13_1(esk16_0),tptp0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_121]),c_0_125]) ).

cnf(c_0_129,plain,
    ( occurrence_of(esk3_3(X1,X2,X3),X1)
    | ~ min_precedes(X2,X3,X1) ),
    i_0_12 ).

cnf(c_0_130,negated_conjecture,
    min_precedes(esk13_1(esk16_0),esk14_1(esk16_0),tptp0),
    inference(spm,[status(thm)],[c_0_126,c_0_118]) ).

cnf(c_0_131,plain,
    ( subactivity_occurrence(X1,esk3_3(X2,X1,X3))
    | ~ min_precedes(X1,X3,X2) ),
    i_0_11 ).

cnf(c_0_132,plain,
    ( root_occ(esk13_1(esk16_0),X1)
    | ~ subactivity_occurrence(esk13_1(esk16_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_133,plain,
    occurrence_of(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0)),tptp0),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_134,plain,
    subactivity_occurrence(esk13_1(esk16_0),esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))),
    inference(spm,[status(thm)],[c_0_131,c_0_130]) ).

cnf(c_0_135,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X4)
    | ~ root_occ(X2,X3)
    | ~ root_occ(X1,X3) ),
    i_0_58 ).

cnf(c_0_136,plain,
    root_occ(esk13_1(esk16_0),esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134])]) ).

cnf(c_0_137,plain,
    ( X1 = esk13_1(esk16_0)
    | ~ root_occ(X1,esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0)))
    | ~ occurrence_of(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0)),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_138,plain,
    root_occ(esk13_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))),esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))),
    inference(spm,[status(thm)],[c_0_117,c_0_133]) ).

cnf(c_0_139,plain,
    ( activity_occurrence(X1)
    | ~ occurrence_of(X1,X2) ),
    i_0_5 ).

cnf(c_0_140,plain,
    ( min_precedes(esk14_1(X1),esk15_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_62 ).

cnf(c_0_141,plain,
    ( esk13_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))) = esk13_1(esk16_0)
    | ~ occurrence_of(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0)),X1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_142,plain,
    ( occurrence_of(X1,esk5_1(X1))
    | ~ activity_occurrence(X1) ),
    i_0_20 ).

cnf(c_0_143,plain,
    activity_occurrence(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))),
    inference(spm,[status(thm)],[c_0_139,c_0_133]) ).

cnf(c_0_144,plain,
    ( occurrence_of(esk13_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_67 ).

cnf(c_0_145,negated_conjecture,
    min_precedes(esk14_1(esk16_0),esk15_1(esk16_0),tptp0),
    inference(spm,[status(thm)],[c_0_140,c_0_118]) ).

cnf(c_0_146,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,X3)
    | ~ subactivity_occurrence(X4,X2)
    | ~ min_precedes(X1,X4,X3) ),
    i_0_56 ).

cnf(c_0_147,plain,
    ( X1 = esk14_1(X2)
    | X1 = esk15_1(X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ min_precedes(esk13_1(X2),X1,tptp0) ),
    i_0_61 ).

cnf(c_0_148,plain,
    min_precedes(esk13_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))),esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))),tptp0),
    inference(spm,[status(thm)],[c_0_126,c_0_133]) ).

cnf(c_0_149,plain,
    esk13_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))) = esk13_1(esk16_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143])]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ occurrence_of(X1,tptp3)
    | ~ occurrence_of(X2,tptp1)
    | ~ root_occ(X1,esk16_0)
    | ~ min_precedes(X1,X2,tptp0) ),
    i_0_80 ).

cnf(c_0_151,negated_conjecture,
    occurrence_of(esk13_1(esk16_0),tptp3),
    inference(spm,[status(thm)],[c_0_144,c_0_118]) ).

cnf(c_0_152,plain,
    ( occurrence_of(esk15_1(X1),tptp2)
    | occurrence_of(esk15_1(X1),tptp1)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_63 ).

cnf(c_0_153,negated_conjecture,
    ( ~ occurrence_of(X1,tptp3)
    | ~ occurrence_of(X2,tptp2)
    | ~ root_occ(X1,esk16_0)
    | ~ min_precedes(X1,X2,tptp0) ),
    i_0_81 ).

cnf(c_0_154,plain,
    occurrence_of(esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0)),tptp0),
    inference(spm,[status(thm)],[c_0_129,c_0_145]) ).

cnf(c_0_155,plain,
    ( subactivity_occurrence(esk13_1(esk16_0),X1)
    | ~ subactivity_occurrence(esk14_1(esk16_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_130]) ).

cnf(c_0_156,plain,
    subactivity_occurrence(esk14_1(esk16_0),esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))),
    inference(spm,[status(thm)],[c_0_131,c_0_145]) ).

cnf(c_0_157,plain,
    ( atomic(X1)
    | root(esk1_2(X1,X2),X1)
    | ~ occurrence_of(X2,X1) ),
    i_0_2 ).

cnf(c_0_158,plain,
    ~ atomic(tptp0),
    i_0_69 ).

cnf(c_0_159,negated_conjecture,
    ( X1 = esk14_1(esk16_0)
    | X1 = esk15_1(esk16_0)
    | ~ min_precedes(esk13_1(esk16_0),X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_147,c_0_118]) ).

cnf(c_0_160,plain,
    min_precedes(esk13_1(esk16_0),esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))),tptp0),
    inference(rw,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_161,negated_conjecture,
    ( ~ min_precedes(esk13_1(esk16_0),X1,tptp0)
    | ~ occurrence_of(X1,tptp1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_121]),c_0_151])]) ).

cnf(c_0_162,negated_conjecture,
    ( occurrence_of(esk15_1(esk16_0),tptp2)
    | occurrence_of(esk15_1(esk16_0),tptp1) ),
    inference(spm,[status(thm)],[c_0_152,c_0_118]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ min_precedes(esk13_1(esk16_0),X1,tptp0)
    | ~ occurrence_of(X1,tptp2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_121]),c_0_151])]) ).

cnf(c_0_164,plain,
    ( precedes(X1,X2)
    | ~ min_precedes(X1,X2,X3) ),
    i_0_49 ).

cnf(c_0_165,plain,
    ( root_occ(esk13_1(esk16_0),esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0)))
    | ~ subactivity_occurrence(esk13_1(esk16_0),esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))) ),
    inference(spm,[status(thm)],[c_0_132,c_0_154]) ).

cnf(c_0_166,plain,
    subactivity_occurrence(esk13_1(esk16_0),esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_154]),c_0_156])]) ).

cnf(c_0_167,plain,
    root(esk1_2(tptp0,esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))),tptp0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_154]),c_0_158]) ).

cnf(c_0_168,plain,
    ( atomic(X1)
    | subactivity_occurrence(esk1_2(X1,X2),X2)
    | ~ occurrence_of(X2,X1) ),
    i_0_1 ).

cnf(c_0_169,negated_conjecture,
    ( esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))) = esk15_1(esk16_0)
    | esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))) = esk14_1(esk16_0) ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_170,negated_conjecture,
    ~ min_precedes(esk13_1(esk16_0),esk15_1(esk16_0),tptp0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).

cnf(c_0_171,plain,
    ( legal(X1)
    | ~ precedes(X2,X1) ),
    i_0_44 ).

cnf(c_0_172,plain,
    precedes(esk14_1(esk16_0),esk15_1(esk16_0)),
    inference(spm,[status(thm)],[c_0_164,c_0_145]) ).

cnf(c_0_173,plain,
    root_occ(esk13_1(esk16_0),esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_166])]) ).

cnf(c_0_174,plain,
    ( root_occ(esk1_2(tptp0,esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))),X1)
    | ~ subactivity_occurrence(esk1_2(tptp0,esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_127,c_0_167]) ).

cnf(c_0_175,plain,
    subactivity_occurrence(esk1_2(tptp0,esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))),esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_154]),c_0_158]) ).

cnf(c_0_176,plain,
    min_precedes(esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))),esk15_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))),tptp0),
    inference(spm,[status(thm)],[c_0_140,c_0_133]) ).

cnf(c_0_177,plain,
    esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))) = esk14_1(esk16_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_169]),c_0_170]) ).

cnf(c_0_178,plain,
    ( subactivity_occurrence(X1,esk3_3(X2,X3,X1))
    | ~ min_precedes(X3,X1,X2) ),
    i_0_10 ).

cnf(c_0_179,plain,
    ( arboreal(X1)
    | ~ legal(X1) ),
    i_0_22 ).

cnf(c_0_180,plain,
    legal(esk15_1(esk16_0)),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_181,plain,
    ( X1 = esk13_1(esk16_0)
    | ~ root_occ(X1,esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0)))
    | ~ occurrence_of(esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0)),X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_173]) ).

cnf(c_0_182,plain,
    root_occ(esk1_2(tptp0,esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))),esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_154]),c_0_175])]) ).

cnf(c_0_183,plain,
    min_precedes(esk14_1(esk16_0),esk15_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))),tptp0),
    inference(rw,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_184,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_7 ).

cnf(c_0_185,plain,
    subactivity_occurrence(esk15_1(esk16_0),esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))),
    inference(spm,[status(thm)],[c_0_178,c_0_145]) ).

cnf(c_0_186,plain,
    arboreal(esk15_1(esk16_0)),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_187,plain,
    ( X1 = esk5_1(X2)
    | ~ occurrence_of(X2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_142]),c_0_139]) ).

cnf(c_0_188,plain,
    ( esk1_2(tptp0,esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))) = esk13_1(esk16_0)
    | ~ occurrence_of(esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0)),X1) ),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_189,plain,
    activity_occurrence(esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))),
    inference(spm,[status(thm)],[c_0_139,c_0_154]) ).

cnf(c_0_190,plain,
    ( arboreal(X1)
    | ~ atomic(X2)
    | ~ occurrence_of(X1,X2) ),
    i_0_31 ).

cnf(c_0_191,plain,
    atomic(tptp3),
    i_0_73 ).

cnf(c_0_192,plain,
    ( earlier(X1,X2)
    | ~ precedes(X1,X2) ),
    i_0_45 ).

cnf(c_0_193,plain,
    precedes(esk14_1(esk16_0),esk15_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0)))),
    inference(spm,[status(thm)],[c_0_164,c_0_183]) ).

cnf(c_0_194,plain,
    ( X1 = esk15_1(esk16_0)
    | min_precedes(esk15_1(esk16_0),X1,X2)
    | min_precedes(X1,esk15_1(esk16_0),X2)
    | ~ subactivity_occurrence(X1,esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0)))
    | ~ arboreal(X1)
    | ~ occurrence_of(esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0)),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186])]) ).

cnf(c_0_195,plain,
    ( subactivity_occurrence(esk1_2(esk5_1(X1),X1),X1)
    | atomic(esk5_1(X1))
    | ~ activity_occurrence(X1) ),
    inference(spm,[status(thm)],[c_0_168,c_0_142]) ).

cnf(c_0_196,plain,
    esk5_1(esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))) = tptp0,
    inference(spm,[status(thm)],[c_0_187,c_0_154]) ).

cnf(c_0_197,plain,
    esk1_2(tptp0,esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))) = esk13_1(esk16_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_142]),c_0_189])]) ).

cnf(c_0_198,plain,
    arboreal(esk13_1(esk16_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_151]),c_0_191])]) ).

cnf(c_0_199,plain,
    ( earlier(X1,X2)
    | ~ earlier(X3,X2)
    | ~ earlier(X1,X3) ),
    i_0_59 ).

cnf(c_0_200,plain,
    earlier(esk14_1(esk16_0),esk15_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0)))),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_201,plain,
    precedes(esk13_1(esk16_0),esk14_1(esk16_0)),
    inference(spm,[status(thm)],[c_0_164,c_0_130]) ).

cnf(c_0_202,plain,
    ( min_precedes(X1,X2,X3)
    | ~ precedes(X1,X2)
    | ~ min_precedes(X4,X2,X3)
    | ~ min_precedes(X4,X1,X3) ),
    i_0_60 ).

cnf(c_0_203,plain,
    ( esk15_1(esk16_0) = esk13_1(esk16_0)
    | min_precedes(esk13_1(esk16_0),esk15_1(esk16_0),X1)
    | min_precedes(esk15_1(esk16_0),esk13_1(esk16_0),X1)
    | ~ occurrence_of(esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0)),X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_196]),c_0_197]),c_0_196]),c_0_197]),c_0_196]),c_0_197]),c_0_196]),c_0_196]),c_0_197]),c_0_198]),c_0_189])]),c_0_158]) ).

cnf(c_0_204,plain,
    ( earlier(X1,esk15_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))))
    | ~ earlier(X1,esk14_1(esk16_0)) ),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

cnf(c_0_205,plain,
    earlier(esk13_1(esk16_0),esk14_1(esk16_0)),
    inference(spm,[status(thm)],[c_0_192,c_0_201]) ).

cnf(c_0_206,plain,
    ( min_precedes(X1,esk15_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))),tptp0)
    | ~ min_precedes(esk14_1(esk16_0),X1,tptp0)
    | ~ precedes(X1,esk15_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0)))) ),
    inference(spm,[status(thm)],[c_0_202,c_0_183]) ).

cnf(c_0_207,plain,
    ( ~ root(X1,X2)
    | ~ min_precedes(X3,X1,X2) ),
    i_0_46 ).

cnf(c_0_208,plain,
    ( esk15_1(esk16_0) = esk13_1(esk16_0)
    | min_precedes(esk15_1(esk16_0),esk13_1(esk16_0),tptp0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_142]),c_0_196]),c_0_196]),c_0_189])]),c_0_170]) ).

cnf(c_0_209,plain,
    ( precedes(X1,X2)
    | ~ legal(X2)
    | ~ earlier(X1,X2) ),
    i_0_43 ).

cnf(c_0_210,plain,
    earlier(esk13_1(esk16_0),esk15_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0)))),
    inference(spm,[status(thm)],[c_0_204,c_0_205]) ).

cnf(c_0_211,plain,
    legal(esk15_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0)))),
    inference(spm,[status(thm)],[c_0_171,c_0_193]) ).

cnf(c_0_212,plain,
    ( occurrence_of(esk15_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))),tptp2)
    | occurrence_of(esk15_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))),tptp1) ),
    inference(spm,[status(thm)],[c_0_152,c_0_133]) ).

cnf(c_0_213,negated_conjecture,
    ( min_precedes(esk15_1(esk16_0),esk15_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))),tptp0)
    | ~ precedes(esk15_1(esk16_0),esk15_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0)))) ),
    inference(spm,[status(thm)],[c_0_206,c_0_145]) ).

cnf(c_0_214,plain,
    esk15_1(esk16_0) = esk13_1(esk16_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_128])]) ).

cnf(c_0_215,plain,
    precedes(esk13_1(esk16_0),esk15_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_211])]) ).

cnf(c_0_216,negated_conjecture,
    ~ min_precedes(esk13_1(esk16_0),esk15_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk16_0))),tptp0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_212]),c_0_163]) ).

cnf(c_0_217,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_214]),c_0_214]),c_0_215])]),c_0_216]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : PRO012+4 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jun 13 03:46:26 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 8.65/2.43  # ENIGMATIC: Solved by autoschedule:
% 8.65/2.43  # No SInE strategy applied
% 8.65/2.43  # Trying AutoSched0 for 150 seconds
% 8.65/2.43  # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 8.65/2.43  # and selection function SelectNewComplexAHPNS.
% 8.65/2.43  #
% 8.65/2.43  # Preprocessing time       : 0.019 s
% 8.65/2.43  
% 8.65/2.43  # Proof found!
% 8.65/2.43  # SZS status Theorem
% 8.65/2.43  # SZS output start CNFRefutation
% See solution above
% 8.65/2.43  # Training examples: 0 positive, 0 negative
% 8.65/2.43  
% 8.65/2.43  # -------------------------------------------------
% 8.65/2.43  # User time                : 0.178 s
% 8.65/2.43  # System time              : 0.011 s
% 8.65/2.43  # Total time               : 0.189 s
% 8.65/2.43  # Maximum resident set size: 7120 pages
% 8.65/2.43  
%------------------------------------------------------------------------------