TSTP Solution File: PRO003+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : PRO003+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 17:43:34 EDT 2022

% Result   : Theorem 8.85s 2.62s
% Output   : CNFRefutation 8.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   77 (  29 unt;   4 nHn;  77 RR)
%            Number of literals    :  158 (  19 equ;  83 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-3 aty)
%            Number of variables   :  105 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_64,plain,
    ( root_occ(esk13_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q9tw60ci/lgb.p',i_0_64) ).

cnf(i_0_80,negated_conjecture,
    occurrence_of(esk16_0,tptp0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q9tw60ci/lgb.p',i_0_80) ).

cnf(i_0_15,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q9tw60ci/lgb.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-q9tw60ci/lgb.p',i_0_41) ).

cnf(i_0_78,plain,
    ( next_subocc(X1,esk15_1(X1),tptp0)
    | ~ root_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q9tw60ci/lgb.p',i_0_78) ).

cnf(i_0_39,plain,
    ( root(X1,esk10_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q9tw60ci/lgb.p',i_0_39) ).

cnf(i_0_55,plain,
    ( min_precedes(X1,X2,X3)
    | ~ next_subocc(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q9tw60ci/lgb.p',i_0_55) ).

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-q9tw60ci/lgb.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-q9tw60ci/lgb.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-q9tw60ci/lgb.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-q9tw60ci/lgb.p',i_0_58) ).

cnf(i_0_5,plain,
    ( activity_occurrence(X1)
    | ~ occurrence_of(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q9tw60ci/lgb.p',i_0_5) ).

cnf(i_0_61,plain,
    ( next_subocc(esk13_1(X1),esk14_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q9tw60ci/lgb.p',i_0_61) ).

cnf(i_0_20,plain,
    ( occurrence_of(X1,esk5_1(X1))
    | ~ activity_occurrence(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q9tw60ci/lgb.p',i_0_20) ).

cnf(i_0_3,plain,
    ( X1 = X2
    | min_precedes(X2,X1,X3)
    | ~ occurrence_of(X4,X3)
    | ~ subactivity_occurrence(X2,X4)
    | ~ root_occ(X5,X4)
    | ~ leaf_occ(X1,X4)
    | ~ min_precedes(X5,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q9tw60ci/lgb.p',i_0_3) ).

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-q9tw60ci/lgb.p',i_0_10) ).

cnf(i_0_54,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ min_precedes(X4,X1,X3)
    | ~ next_subocc(X4,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q9tw60ci/lgb.p',i_0_54) ).

cnf(i_0_79,plain,
    ( occurrence_of(esk15_1(X1),tptp1)
    | ~ root_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q9tw60ci/lgb.p',i_0_79) ).

cnf(i_0_63,plain,
    ( occurrence_of(esk14_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q9tw60ci/lgb.p',i_0_63) ).

cnf(i_0_62,plain,
    ( leaf_occ(esk14_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q9tw60ci/lgb.p',i_0_62) ).

cnf(i_0_75,plain,
    tptp1 != tptp3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q9tw60ci/lgb.p',i_0_75) ).

cnf(c_0_102,plain,
    ( root_occ(esk13_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_64 ).

cnf(c_0_103,negated_conjecture,
    occurrence_of(esk16_0,tptp0),
    i_0_80 ).

cnf(c_0_104,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    i_0_15 ).

cnf(c_0_105,plain,
    ( occurrence_of(X1,esk10_2(X2,X1))
    | ~ root_occ(X2,X1) ),
    i_0_41 ).

cnf(c_0_106,negated_conjecture,
    root_occ(esk13_1(esk16_0),esk16_0),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_107,plain,
    ( next_subocc(X1,esk15_1(X1),tptp0)
    | ~ root_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    i_0_78 ).

cnf(c_0_108,negated_conjecture,
    ( X1 = tptp0
    | ~ occurrence_of(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_104,c_0_103]) ).

cnf(c_0_109,plain,
    occurrence_of(esk16_0,esk10_2(esk13_1(esk16_0),esk16_0)),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_110,negated_conjecture,
    ( next_subocc(X1,esk15_1(X1),tptp0)
    | ~ root_occ(X1,esk16_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_103]) ).

cnf(c_0_111,plain,
    ( root(X1,esk10_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    i_0_39 ).

cnf(c_0_112,negated_conjecture,
    esk10_2(esk13_1(esk16_0),esk16_0) = tptp0,
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_113,plain,
    ( min_precedes(X1,X2,X3)
    | ~ next_subocc(X1,X2,X3) ),
    i_0_55 ).

cnf(c_0_114,negated_conjecture,
    next_subocc(esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)),tptp0),
    inference(spm,[status(thm)],[c_0_110,c_0_106]) ).

cnf(c_0_115,plain,
    ( root_occ(X1,X2)
    | ~ occurrence_of(X2,X3)
    | ~ root(X1,X3)
    | ~ subactivity_occurrence(X1,X2) ),
    i_0_38 ).

cnf(c_0_116,plain,
    root(esk13_1(esk16_0),tptp0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_106]),c_0_112]) ).

cnf(c_0_117,plain,
    ( occurrence_of(esk3_3(X1,X2,X3),X1)
    | ~ min_precedes(X2,X3,X1) ),
    i_0_12 ).

cnf(c_0_118,plain,
    min_precedes(esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)),tptp0),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_119,plain,
    ( subactivity_occurrence(X1,esk3_3(X2,X1,X3))
    | ~ min_precedes(X1,X3,X2) ),
    i_0_11 ).

cnf(c_0_120,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_115,c_0_116]) ).

cnf(c_0_121,plain,
    occurrence_of(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0))),tptp0),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_122,plain,
    subactivity_occurrence(esk13_1(esk16_0),esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),
    inference(spm,[status(thm)],[c_0_119,c_0_118]) ).

cnf(c_0_123,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X4)
    | ~ root_occ(X2,X3)
    | ~ root_occ(X1,X3) ),
    i_0_58 ).

cnf(c_0_124,plain,
    root_occ(esk13_1(esk16_0),esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122])]) ).

cnf(c_0_125,plain,
    ( X1 = esk13_1(esk16_0)
    | ~ root_occ(X1,esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0))))
    | ~ occurrence_of(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0))),X2) ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_126,plain,
    root_occ(esk13_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),
    inference(spm,[status(thm)],[c_0_102,c_0_121]) ).

cnf(c_0_127,plain,
    ( activity_occurrence(X1)
    | ~ occurrence_of(X1,X2) ),
    i_0_5 ).

cnf(c_0_128,plain,
    ( next_subocc(esk13_1(X1),esk14_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_61 ).

cnf(c_0_129,plain,
    ( esk13_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))) = esk13_1(esk16_0)
    | ~ occurrence_of(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0))),X1) ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_130,plain,
    ( occurrence_of(X1,esk5_1(X1))
    | ~ activity_occurrence(X1) ),
    i_0_20 ).

cnf(c_0_131,plain,
    activity_occurrence(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),
    inference(spm,[status(thm)],[c_0_127,c_0_121]) ).

cnf(c_0_132,plain,
    next_subocc(esk13_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),tptp0),
    inference(spm,[status(thm)],[c_0_128,c_0_121]) ).

cnf(c_0_133,plain,
    esk13_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))) = esk13_1(esk16_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131])]) ).

cnf(c_0_134,plain,
    next_subocc(esk13_1(esk16_0),esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),tptp0),
    inference(rw,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_135,plain,
    min_precedes(esk13_1(esk16_0),esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),tptp0),
    inference(spm,[status(thm)],[c_0_113,c_0_134]) ).

cnf(c_0_136,plain,
    ( X1 = X2
    | min_precedes(X2,X1,X3)
    | ~ occurrence_of(X4,X3)
    | ~ subactivity_occurrence(X2,X4)
    | ~ root_occ(X5,X4)
    | ~ leaf_occ(X1,X4)
    | ~ min_precedes(X5,X2,X3) ),
    i_0_3 ).

cnf(c_0_137,plain,
    ( subactivity_occurrence(X1,esk3_3(X2,X3,X1))
    | ~ min_precedes(X3,X1,X2) ),
    i_0_10 ).

cnf(c_0_138,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ min_precedes(X4,X1,X3)
    | ~ next_subocc(X4,X2,X3) ),
    i_0_54 ).

cnf(c_0_139,plain,
    ( occurrence_of(esk15_1(X1),tptp1)
    | ~ root_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    i_0_79 ).

cnf(c_0_140,plain,
    ( occurrence_of(esk14_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_63 ).

cnf(c_0_141,plain,
    occurrence_of(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0))))),tptp0),
    inference(spm,[status(thm)],[c_0_117,c_0_135]) ).

cnf(c_0_142,plain,
    ( X1 = esk15_1(esk13_1(esk16_0))
    | min_precedes(esk15_1(esk13_1(esk16_0)),X1,tptp0)
    | ~ leaf_occ(X1,X2)
    | ~ subactivity_occurrence(esk15_1(esk13_1(esk16_0)),X2)
    | ~ root_occ(esk13_1(esk16_0),X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(spm,[status(thm)],[c_0_136,c_0_118]) ).

cnf(c_0_143,plain,
    subactivity_occurrence(esk15_1(esk13_1(esk16_0)),esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),
    inference(spm,[status(thm)],[c_0_137,c_0_118]) ).

cnf(c_0_144,plain,
    ( leaf_occ(esk14_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_62 ).

cnf(c_0_145,plain,
    ( ~ min_precedes(esk15_1(esk13_1(esk16_0)),X1,tptp0)
    | ~ next_subocc(esk13_1(esk16_0),X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_138,c_0_118]) ).

cnf(c_0_146,negated_conjecture,
    ( occurrence_of(esk15_1(X1),tptp1)
    | ~ root_occ(X1,esk16_0) ),
    inference(spm,[status(thm)],[c_0_139,c_0_103]) ).

cnf(c_0_147,plain,
    ( X1 = esk5_1(X2)
    | ~ occurrence_of(X2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_130]),c_0_127]) ).

cnf(c_0_148,plain,
    occurrence_of(esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))))),tptp3),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_149,plain,
    ( X1 = esk15_1(esk13_1(esk16_0))
    | min_precedes(esk15_1(esk13_1(esk16_0)),X1,tptp0)
    | ~ leaf_occ(X1,esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_121]),c_0_143])]),c_0_124])]) ).

cnf(c_0_150,plain,
    leaf_occ(esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),
    inference(spm,[status(thm)],[c_0_144,c_0_121]) ).

cnf(c_0_151,plain,
    ~ min_precedes(esk15_1(esk13_1(esk16_0)),esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),tptp0),
    inference(spm,[status(thm)],[c_0_145,c_0_134]) ).

cnf(c_0_152,negated_conjecture,
    occurrence_of(esk15_1(esk13_1(esk16_0)),tptp1),
    inference(spm,[status(thm)],[c_0_146,c_0_106]) ).

cnf(c_0_153,plain,
    esk5_1(esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0))))))) = tptp3,
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_154,plain,
    esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))) = esk15_1(esk13_1(esk16_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]) ).

cnf(c_0_155,plain,
    esk5_1(esk15_1(esk13_1(esk16_0))) = tptp1,
    inference(spm,[status(thm)],[c_0_147,c_0_152]) ).

cnf(c_0_156,plain,
    tptp1 != tptp3,
    i_0_75 ).

cnf(c_0_157,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_154]),c_0_154]),c_0_155]),c_0_156]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : PRO003+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Mon Jun 13 01:45:22 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.21/0.47  # ENIGMATIC: Selected complete mode:
% 8.85/2.62  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.85/2.62  # No SInE strategy applied
% 8.85/2.62  # Trying AutoSched0 for 150 seconds
% 8.85/2.62  # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 8.85/2.62  # and selection function SelectNewComplexAHPNS.
% 8.85/2.62  #
% 8.85/2.62  # Preprocessing time       : 0.026 s
% 8.85/2.62  
% 8.85/2.62  # Proof found!
% 8.85/2.62  # SZS status Theorem
% 8.85/2.62  # SZS output start CNFRefutation
% See solution above
% 8.85/2.62  # Training examples: 0 positive, 0 negative
% 8.85/2.62  
% 8.85/2.62  # -------------------------------------------------
% 8.85/2.62  # User time                : 0.214 s
% 8.85/2.62  # System time              : 0.012 s
% 8.85/2.62  # Total time               : 0.226 s
% 8.85/2.62  # Maximum resident set size: 7128 pages
% 8.85/2.62  
%------------------------------------------------------------------------------