TSTP Solution File: PRO009+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : PRO009+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 17:43:40 EDT 2022

% Result   : Theorem 4.44s 2.22s
% Output   : CNFRefutation 4.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   70 (  24 unt;  11 nHn;  70 RR)
%            Number of literals    :  156 (  10 equ;  89 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   84 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_61,plain,
    ( leaf_occ(esk15_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_61) ).

cnf(i_0_82,negated_conjecture,
    occurrence_of(esk16_0,tptp0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_82) ).

cnf(i_0_15,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_15) ).

cnf(i_0_37,plain,
    ( occurrence_of(X1,esk9_2(X2,X1))
    | ~ leaf_occ(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_37) ).

cnf(i_0_66,plain,
    ( root_occ(esk13_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_66) ).

cnf(i_0_67,plain,
    ( occurrence_of(esk13_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_67) ).

cnf(i_0_64,plain,
    ( next_subocc(esk13_1(X1),esk14_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_64) ).

cnf(i_0_40,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ root_occ(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_40) ).

cnf(i_0_31,plain,
    ( arboreal(X1)
    | ~ atomic(X2)
    | ~ occurrence_of(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_31) ).

cnf(i_0_73,plain,
    atomic(tptp3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_73) ).

cnf(i_0_80,negated_conjecture,
    ( ~ occurrence_of(X1,tptp3)
    | ~ occurrence_of(X2,tptp1)
    | ~ root_occ(X1,esk16_0)
    | ~ leaf_occ(X2,esk16_0)
    | ~ min_precedes(X1,X2,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.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/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_63) ).

cnf(i_0_81,negated_conjecture,
    ( ~ occurrence_of(X1,tptp3)
    | ~ occurrence_of(X2,tptp2)
    | ~ root_occ(X1,esk16_0)
    | ~ leaf_occ(X2,esk16_0)
    | ~ min_precedes(X1,X2,tptp0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_81) ).

cnf(i_0_55,plain,
    ( min_precedes(X1,X2,X3)
    | ~ next_subocc(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_55) ).

cnf(i_0_35,plain,
    ( leaf(X1,esk9_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_35) ).

cnf(i_0_4,plain,
    ( X1 = X2
    | min_precedes(X1,X2,X3)
    | ~ arboreal(X1)
    | ~ occurrence_of(X4,X3)
    | ~ subactivity_occurrence(X1,X4)
    | ~ leaf_occ(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_4) ).

cnf(i_0_5,plain,
    ( activity_occurrence(X1)
    | ~ occurrence_of(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_5) ).

cnf(i_0_16,plain,
    ( ~ occurrence_of(X1,X2)
    | ~ leaf_occ(X3,X1)
    | ~ min_precedes(X3,X4,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_16) ).

cnf(i_0_14,plain,
    ( atomic(X1)
    | occurrence_of(esk4_2(X2,X1),X1)
    | ~ leaf(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_14) ).

cnf(i_0_69,plain,
    ~ atomic(tptp0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_69) ).

cnf(i_0_20,plain,
    ( occurrence_of(X1,esk5_1(X1))
    | ~ activity_occurrence(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_20) ).

cnf(i_0_13,plain,
    ( atomic(X1)
    | leaf_occ(X2,esk4_2(X2,X1))
    | ~ leaf(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0rbp2ok/lgb.p',i_0_13) ).

cnf(c_0_105,plain,
    ( leaf_occ(esk15_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_61 ).

cnf(c_0_106,negated_conjecture,
    occurrence_of(esk16_0,tptp0),
    i_0_82 ).

cnf(c_0_107,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    i_0_15 ).

cnf(c_0_108,plain,
    ( occurrence_of(X1,esk9_2(X2,X1))
    | ~ leaf_occ(X2,X1) ),
    i_0_37 ).

cnf(c_0_109,negated_conjecture,
    leaf_occ(esk15_1(esk16_0),esk16_0),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_110,plain,
    ( root_occ(esk13_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_66 ).

cnf(c_0_111,plain,
    ( occurrence_of(esk13_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_67 ).

cnf(c_0_112,plain,
    ( next_subocc(esk13_1(X1),esk14_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_64 ).

cnf(c_0_113,negated_conjecture,
    ( X1 = tptp0
    | ~ occurrence_of(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_107,c_0_106]) ).

cnf(c_0_114,plain,
    occurrence_of(esk16_0,esk9_2(esk15_1(esk16_0),esk16_0)),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_115,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ root_occ(X1,X2) ),
    i_0_40 ).

cnf(c_0_116,negated_conjecture,
    root_occ(esk13_1(esk16_0),esk16_0),
    inference(spm,[status(thm)],[c_0_110,c_0_106]) ).

cnf(c_0_117,plain,
    ( arboreal(X1)
    | ~ atomic(X2)
    | ~ occurrence_of(X1,X2) ),
    i_0_31 ).

cnf(c_0_118,negated_conjecture,
    occurrence_of(esk13_1(esk16_0),tptp3),
    inference(spm,[status(thm)],[c_0_111,c_0_106]) ).

cnf(c_0_119,plain,
    atomic(tptp3),
    i_0_73 ).

cnf(c_0_120,negated_conjecture,
    ( ~ occurrence_of(X1,tptp3)
    | ~ occurrence_of(X2,tptp1)
    | ~ root_occ(X1,esk16_0)
    | ~ leaf_occ(X2,esk16_0)
    | ~ min_precedes(X1,X2,tptp0) ),
    i_0_80 ).

cnf(c_0_121,plain,
    ( occurrence_of(esk15_1(X1),tptp2)
    | occurrence_of(esk15_1(X1),tptp1)
    | ~ occurrence_of(X1,tptp0) ),
    i_0_63 ).

cnf(c_0_122,negated_conjecture,
    ( ~ occurrence_of(X1,tptp3)
    | ~ occurrence_of(X2,tptp2)
    | ~ root_occ(X1,esk16_0)
    | ~ leaf_occ(X2,esk16_0)
    | ~ min_precedes(X1,X2,tptp0) ),
    i_0_81 ).

cnf(c_0_123,plain,
    ( min_precedes(X1,X2,X3)
    | ~ next_subocc(X1,X2,X3) ),
    i_0_55 ).

cnf(c_0_124,negated_conjecture,
    next_subocc(esk13_1(esk16_0),esk14_1(esk16_0),tptp0),
    inference(spm,[status(thm)],[c_0_112,c_0_106]) ).

cnf(c_0_125,plain,
    ( leaf(X1,esk9_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    i_0_35 ).

cnf(c_0_126,negated_conjecture,
    esk9_2(esk15_1(esk16_0),esk16_0) = tptp0,
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_127,plain,
    ( X1 = X2
    | min_precedes(X1,X2,X3)
    | ~ arboreal(X1)
    | ~ occurrence_of(X4,X3)
    | ~ subactivity_occurrence(X1,X4)
    | ~ leaf_occ(X2,X4) ),
    i_0_4 ).

cnf(c_0_128,plain,
    subactivity_occurrence(esk13_1(esk16_0),esk16_0),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_129,plain,
    arboreal(esk13_1(esk16_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119])]) ).

cnf(c_0_130,plain,
    ( activity_occurrence(X1)
    | ~ occurrence_of(X1,X2) ),
    i_0_5 ).

cnf(c_0_131,negated_conjecture,
    ( ~ min_precedes(X1,esk15_1(esk16_0),tptp0)
    | ~ root_occ(X1,esk16_0)
    | ~ occurrence_of(esk15_1(esk16_0),tptp1)
    | ~ occurrence_of(X1,tptp3) ),
    inference(spm,[status(thm)],[c_0_120,c_0_109]) ).

cnf(c_0_132,negated_conjecture,
    ( occurrence_of(esk15_1(esk16_0),tptp2)
    | occurrence_of(esk15_1(esk16_0),tptp1) ),
    inference(spm,[status(thm)],[c_0_121,c_0_106]) ).

cnf(c_0_133,negated_conjecture,
    ( ~ min_precedes(X1,esk15_1(esk16_0),tptp0)
    | ~ root_occ(X1,esk16_0)
    | ~ occurrence_of(esk15_1(esk16_0),tptp2)
    | ~ occurrence_of(X1,tptp3) ),
    inference(spm,[status(thm)],[c_0_122,c_0_109]) ).

cnf(c_0_134,plain,
    ( ~ occurrence_of(X1,X2)
    | ~ leaf_occ(X3,X1)
    | ~ min_precedes(X3,X4,X2) ),
    i_0_16 ).

cnf(c_0_135,plain,
    min_precedes(esk13_1(esk16_0),esk14_1(esk16_0),tptp0),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_136,plain,
    ( atomic(X1)
    | occurrence_of(esk4_2(X2,X1),X1)
    | ~ leaf(X2,X1) ),
    i_0_14 ).

cnf(c_0_137,plain,
    leaf(esk15_1(esk16_0),tptp0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_109]),c_0_126]) ).

cnf(c_0_138,plain,
    ~ atomic(tptp0),
    i_0_69 ).

cnf(c_0_139,plain,
    ( esk13_1(esk16_0) = X1
    | min_precedes(esk13_1(esk16_0),X1,X2)
    | ~ leaf_occ(X1,esk16_0)
    | ~ occurrence_of(esk16_0,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129])]) ).

cnf(c_0_140,plain,
    ( occurrence_of(X1,esk5_1(X1))
    | ~ activity_occurrence(X1) ),
    i_0_20 ).

cnf(c_0_141,negated_conjecture,
    activity_occurrence(esk16_0),
    inference(spm,[status(thm)],[c_0_130,c_0_106]) ).

cnf(c_0_142,negated_conjecture,
    ( ~ min_precedes(X1,esk15_1(esk16_0),tptp0)
    | ~ root_occ(X1,esk16_0)
    | ~ occurrence_of(X1,tptp3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133]) ).

cnf(c_0_143,plain,
    ( ~ leaf_occ(esk13_1(esk16_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_134,c_0_135]) ).

cnf(c_0_144,plain,
    occurrence_of(esk4_2(esk15_1(esk16_0),tptp0),tptp0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).

cnf(c_0_145,negated_conjecture,
    ( esk13_1(esk16_0) = esk15_1(esk16_0)
    | min_precedes(esk13_1(esk16_0),esk15_1(esk16_0),X1)
    | ~ occurrence_of(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_139,c_0_109]) ).

cnf(c_0_146,plain,
    esk5_1(esk16_0) = tptp0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_140]),c_0_141])]) ).

cnf(c_0_147,negated_conjecture,
    ~ min_precedes(esk13_1(esk16_0),esk15_1(esk16_0),tptp0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_116]),c_0_118])]) ).

cnf(c_0_148,plain,
    ( atomic(X1)
    | leaf_occ(X2,esk4_2(X2,X1))
    | ~ leaf(X2,X1) ),
    i_0_13 ).

cnf(c_0_149,plain,
    ~ leaf_occ(esk13_1(esk16_0),esk4_2(esk15_1(esk16_0),tptp0)),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_150,plain,
    esk13_1(esk16_0) = esk15_1(esk16_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_140]),c_0_146]),c_0_141])]),c_0_147]) ).

cnf(c_0_151,plain,
    leaf_occ(esk15_1(esk16_0),esk4_2(esk15_1(esk16_0),tptp0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_137]),c_0_138]) ).

cnf(c_0_152,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_150]),c_0_151])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : PRO009+4 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.30  % Computer : n011.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.30  % DateTime : Mon Jun 13 03:16:50 EDT 2022
% 0.11/0.30  % CPUTime  : 
% 0.16/0.41  # ENIGMATIC: Selected complete mode:
% 4.44/2.22  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.44/2.22  # No SInE strategy applied
% 4.44/2.22  # Trying AutoSched0 for 150 seconds
% 4.44/2.22  # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 4.44/2.22  # and selection function SelectNewComplexAHPNS.
% 4.44/2.22  #
% 4.44/2.22  # Preprocessing time       : 0.026 s
% 4.44/2.22  
% 4.44/2.22  # Proof found!
% 4.44/2.22  # SZS status Theorem
% 4.44/2.22  # SZS output start CNFRefutation
% See solution above
% 4.44/2.22  # Training examples: 0 positive, 0 negative
% 4.44/2.22  
% 4.44/2.22  # -------------------------------------------------
% 4.44/2.22  # User time                : 0.041 s
% 4.44/2.22  # System time              : 0.005 s
% 4.44/2.22  # Total time               : 0.046 s
% 4.44/2.22  # Maximum resident set size: 7124 pages
% 4.44/2.22  
%------------------------------------------------------------------------------