TSTP Solution File: PRO018+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : PRO018+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n009.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 17:43:48 EDT 2022

% Result   : Theorem 8.48s 2.36s
% Output   : CNFRefutation 8.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   73 (  30 unt;  22 nHn;  73 RR)
%            Number of literals    :  183 (  18 equ;  97 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   90 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_69,plain,
    ( leaf_occ(X1,X2)
    | next_subocc(X1,esk15_1(X1),tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_69) ).

cnf(i_0_104,negated_conjecture,
    occurrence_of(esk19_0,tptp0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_104) ).

cnf(i_0_103,negated_conjecture,
    subactivity_occurrence(esk18_0,esk19_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_103) ).

cnf(i_0_102,negated_conjecture,
    arboreal(esk18_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_102) ).

cnf(i_0_101,negated_conjecture,
    ~ leaf_occ(esk18_0,esk19_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_101) ).

cnf(i_0_67,plain,
    ( leaf_occ(X1,X2)
    | min_precedes(esk15_1(X1),esk16_1(X1),tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_67) ).

cnf(i_0_8,plain,
    ( min_precedes(X1,X2,X3)
    | ~ next_subocc(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_8) ).

cnf(i_0_70,plain,
    ( leaf_occ(X1,X2)
    | occurrence_of(esk15_1(X1),tptp3)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_70) ).

cnf(i_0_49,plain,
    ( occurrence_of(esk9_3(X1,X2,X3),X1)
    | ~ min_precedes(X2,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_49) ).

cnf(i_0_43,plain,
    ( ~ occurrence_of(X1,X2)
    | ~ leaf_occ(X3,X1)
    | ~ min_precedes(X3,X4,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_43) ).

cnf(i_0_47,plain,
    ( subactivity_occurrence(X1,esk9_3(X2,X3,X1))
    | ~ min_precedes(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_47) ).

cnf(i_0_26,plain,
    ( arboreal(X1)
    | ~ atomic(X2)
    | ~ occurrence_of(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_26) ).

cnf(i_0_76,plain,
    atomic(tptp3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_76) ).

cnf(i_0_64,plain,
    ( X1 = esk16_1(X2)
    | X1 = esk17_1(X2)
    | leaf_occ(X2,X3)
    | ~ arboreal(X2)
    | ~ subactivity_occurrence(X2,X3)
    | ~ occurrence_of(X3,tptp0)
    | ~ min_precedes(esk15_1(X2),X1,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_64) ).

cnf(i_0_7,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ min_precedes(X4,X1,X3)
    | ~ next_subocc(X4,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_7) ).

cnf(i_0_65,plain,
    ( leaf_occ(X1,X2)
    | min_precedes(esk16_1(X1),esk17_1(X1),tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_65) ).

cnf(i_0_68,plain,
    ( leaf_occ(X1,X2)
    | occurrence_of(esk16_1(X1),tptp4)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_68) ).

cnf(i_0_44,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_44) ).

cnf(i_0_38,plain,
    ( occurrence_of(X1,esk7_1(X1))
    | ~ activity_occurrence(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_38) ).

cnf(i_0_59,plain,
    ( activity_occurrence(X1)
    | ~ occurrence_of(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_59) ).

cnf(i_0_77,plain,
    tptp3 != tptp4,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-meinfmk9/lgb.p',i_0_77) ).

cnf(c_0_126,plain,
    ( leaf_occ(X1,X2)
    | next_subocc(X1,esk15_1(X1),tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    i_0_69 ).

cnf(c_0_127,negated_conjecture,
    occurrence_of(esk19_0,tptp0),
    i_0_104 ).

cnf(c_0_128,negated_conjecture,
    ( next_subocc(X1,esk15_1(X1),tptp0)
    | leaf_occ(X1,esk19_0)
    | ~ subactivity_occurrence(X1,esk19_0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_129,negated_conjecture,
    subactivity_occurrence(esk18_0,esk19_0),
    i_0_103 ).

cnf(c_0_130,negated_conjecture,
    arboreal(esk18_0),
    i_0_102 ).

cnf(c_0_131,negated_conjecture,
    ~ leaf_occ(esk18_0,esk19_0),
    i_0_101 ).

cnf(c_0_132,plain,
    ( leaf_occ(X1,X2)
    | min_precedes(esk15_1(X1),esk16_1(X1),tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    i_0_67 ).

cnf(c_0_133,plain,
    ( min_precedes(X1,X2,X3)
    | ~ next_subocc(X1,X2,X3) ),
    i_0_8 ).

cnf(c_0_134,negated_conjecture,
    next_subocc(esk18_0,esk15_1(esk18_0),tptp0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130])]),c_0_131]) ).

cnf(c_0_135,plain,
    ( leaf_occ(X1,X2)
    | occurrence_of(esk15_1(X1),tptp3)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    i_0_70 ).

cnf(c_0_136,negated_conjecture,
    ( min_precedes(esk15_1(X1),esk16_1(X1),tptp0)
    | leaf_occ(X1,esk19_0)
    | ~ subactivity_occurrence(X1,esk19_0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_132,c_0_127]) ).

cnf(c_0_137,plain,
    ( occurrence_of(esk9_3(X1,X2,X3),X1)
    | ~ min_precedes(X2,X3,X1) ),
    i_0_49 ).

cnf(c_0_138,plain,
    min_precedes(esk18_0,esk15_1(esk18_0),tptp0),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_139,negated_conjecture,
    ( occurrence_of(esk15_1(X1),tptp3)
    | leaf_occ(X1,esk19_0)
    | ~ subactivity_occurrence(X1,esk19_0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_135,c_0_127]) ).

cnf(c_0_140,plain,
    ( ~ occurrence_of(X1,X2)
    | ~ leaf_occ(X3,X1)
    | ~ min_precedes(X3,X4,X2) ),
    i_0_43 ).

cnf(c_0_141,negated_conjecture,
    min_precedes(esk15_1(esk18_0),esk16_1(esk18_0),tptp0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_129]),c_0_130])]),c_0_131]) ).

cnf(c_0_142,plain,
    occurrence_of(esk9_3(tptp0,esk18_0,esk15_1(esk18_0)),tptp0),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_143,plain,
    ( subactivity_occurrence(X1,esk9_3(X2,X3,X1))
    | ~ min_precedes(X3,X1,X2) ),
    i_0_47 ).

cnf(c_0_144,plain,
    ( arboreal(X1)
    | ~ atomic(X2)
    | ~ occurrence_of(X1,X2) ),
    i_0_26 ).

cnf(c_0_145,negated_conjecture,
    occurrence_of(esk15_1(esk18_0),tptp3),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_129]),c_0_130])]),c_0_131]) ).

cnf(c_0_146,plain,
    atomic(tptp3),
    i_0_76 ).

cnf(c_0_147,plain,
    ( ~ occurrence_of(X1,tptp0)
    | ~ leaf_occ(esk15_1(esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_148,plain,
    ( next_subocc(X1,esk15_1(X1),tptp0)
    | leaf_occ(X1,esk9_3(tptp0,esk18_0,esk15_1(esk18_0)))
    | ~ subactivity_occurrence(X1,esk9_3(tptp0,esk18_0,esk15_1(esk18_0)))
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_142]) ).

cnf(c_0_149,plain,
    subactivity_occurrence(esk15_1(esk18_0),esk9_3(tptp0,esk18_0,esk15_1(esk18_0))),
    inference(spm,[status(thm)],[c_0_143,c_0_138]) ).

cnf(c_0_150,plain,
    arboreal(esk15_1(esk18_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146])]) ).

cnf(c_0_151,plain,
    ~ leaf_occ(esk15_1(esk18_0),esk9_3(tptp0,esk18_0,esk15_1(esk18_0))),
    inference(spm,[status(thm)],[c_0_147,c_0_142]) ).

cnf(c_0_152,plain,
    ( X1 = esk16_1(X2)
    | X1 = esk17_1(X2)
    | leaf_occ(X2,X3)
    | ~ arboreal(X2)
    | ~ subactivity_occurrence(X2,X3)
    | ~ occurrence_of(X3,tptp0)
    | ~ min_precedes(esk15_1(X2),X1,tptp0) ),
    i_0_64 ).

cnf(c_0_153,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ min_precedes(X4,X1,X3)
    | ~ next_subocc(X4,X2,X3) ),
    i_0_7 ).

cnf(c_0_154,plain,
    next_subocc(esk15_1(esk18_0),esk15_1(esk15_1(esk18_0)),tptp0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150])]),c_0_151]) ).

cnf(c_0_155,negated_conjecture,
    ( X1 = esk16_1(X2)
    | X1 = esk17_1(X2)
    | leaf_occ(X2,esk19_0)
    | ~ subactivity_occurrence(X2,esk19_0)
    | ~ arboreal(X2)
    | ~ min_precedes(esk15_1(X2),X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_152,c_0_127]) ).

cnf(c_0_156,plain,
    ( leaf_occ(X1,X2)
    | min_precedes(esk16_1(X1),esk17_1(X1),tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    i_0_65 ).

cnf(c_0_157,plain,
    ( leaf_occ(X1,X2)
    | occurrence_of(esk16_1(X1),tptp4)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    i_0_68 ).

cnf(c_0_158,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    i_0_44 ).

cnf(c_0_159,plain,
    ( occurrence_of(X1,esk7_1(X1))
    | ~ activity_occurrence(X1) ),
    i_0_38 ).

cnf(c_0_160,plain,
    ( activity_occurrence(X1)
    | ~ occurrence_of(X1,X2) ),
    i_0_59 ).

cnf(c_0_161,plain,
    ( occurrence_of(esk15_1(X1),tptp3)
    | leaf_occ(X1,esk9_3(tptp0,esk18_0,esk15_1(esk18_0)))
    | ~ subactivity_occurrence(X1,esk9_3(tptp0,esk18_0,esk15_1(esk18_0)))
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_135,c_0_142]) ).

cnf(c_0_162,plain,
    ( ~ min_precedes(X1,esk15_1(esk15_1(esk18_0)),tptp0)
    | ~ min_precedes(esk15_1(esk18_0),X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_163,negated_conjecture,
    ( X1 = esk17_1(esk18_0)
    | X1 = esk16_1(esk18_0)
    | ~ min_precedes(esk15_1(esk18_0),X1,tptp0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_129]),c_0_130])]),c_0_131]) ).

cnf(c_0_164,plain,
    min_precedes(esk15_1(esk18_0),esk15_1(esk15_1(esk18_0)),tptp0),
    inference(spm,[status(thm)],[c_0_133,c_0_154]) ).

cnf(c_0_165,negated_conjecture,
    ( min_precedes(esk16_1(X1),esk17_1(X1),tptp0)
    | leaf_occ(X1,esk19_0)
    | ~ subactivity_occurrence(X1,esk19_0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_156,c_0_127]) ).

cnf(c_0_166,negated_conjecture,
    ( occurrence_of(esk16_1(X1),tptp4)
    | leaf_occ(X1,esk19_0)
    | ~ subactivity_occurrence(X1,esk19_0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_157,c_0_127]) ).

cnf(c_0_167,plain,
    ( X1 = esk7_1(X2)
    | ~ occurrence_of(X2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160]) ).

cnf(c_0_168,plain,
    occurrence_of(esk15_1(esk15_1(esk18_0)),tptp3),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_149]),c_0_150])]),c_0_151]) ).

cnf(c_0_169,negated_conjecture,
    ~ min_precedes(esk16_1(esk18_0),esk15_1(esk15_1(esk18_0)),tptp0),
    inference(spm,[status(thm)],[c_0_162,c_0_141]) ).

cnf(c_0_170,negated_conjecture,
    ( esk15_1(esk15_1(esk18_0)) = esk16_1(esk18_0)
    | esk15_1(esk15_1(esk18_0)) = esk17_1(esk18_0) ),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_171,negated_conjecture,
    min_precedes(esk16_1(esk18_0),esk17_1(esk18_0),tptp0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_129]),c_0_130])]),c_0_131]) ).

cnf(c_0_172,negated_conjecture,
    occurrence_of(esk16_1(esk18_0),tptp4),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_129]),c_0_130])]),c_0_131]) ).

cnf(c_0_173,plain,
    esk7_1(esk15_1(esk15_1(esk18_0))) = tptp3,
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_174,negated_conjecture,
    esk15_1(esk15_1(esk18_0)) = esk16_1(esk18_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_171])]) ).

cnf(c_0_175,plain,
    esk7_1(esk16_1(esk18_0)) = tptp4,
    inference(spm,[status(thm)],[c_0_167,c_0_172]) ).

cnf(c_0_176,plain,
    tptp3 != tptp4,
    i_0_77 ).

cnf(c_0_177,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_174]),c_0_175]),c_0_176]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : PRO018+2 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n009.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Mon Jun 13 03:24:25 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected complete mode:
% 8.48/2.36  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.48/2.36  # No SInE strategy applied
% 8.48/2.36  # Trying AutoSched0 for 150 seconds
% 8.48/2.36  # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 8.48/2.36  # and selection function SelectNewComplexAHPNS.
% 8.48/2.36  #
% 8.48/2.36  # Preprocessing time       : 0.013 s
% 8.48/2.36  
% 8.48/2.36  # Proof found!
% 8.48/2.36  # SZS status Theorem
% 8.48/2.36  # SZS output start CNFRefutation
% See solution above
% 8.48/2.36  # Training examples: 0 positive, 0 negative
% 8.48/2.36  
% 8.48/2.36  # -------------------------------------------------
% 8.48/2.36  # User time                : 0.134 s
% 8.48/2.36  # System time              : 0.012 s
% 8.48/2.36  # Total time               : 0.146 s
% 8.48/2.36  # Maximum resident set size: 7124 pages
% 8.48/2.36  
%------------------------------------------------------------------------------