TSTP Solution File: GEO126+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO126+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n015.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 : Sat Jul 16 03:43:34 EDT 2022

% Result   : Theorem 8.48s 2.56s
% Output   : CNFRefutation 8.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   31 (  14 unt;   3 nHn;  22 RR)
%            Number of literals    :   53 (   8 equ;  22 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :   42 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_74,plain,
    ( X1 = X2
    | ordered_by(X3,X1,X2)
    | ~ incident_o(X2,X3)
    | ~ start_point(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k3nvltzc/input.p',i_0_74) ).

cnf(i_0_60,plain,
    start_point(esk16_1(X1),X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k3nvltzc/input.p',i_0_60) ).

cnf(i_0_34,plain,
    ( incident_c(X1,X2)
    | ~ end_point(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k3nvltzc/input.p',i_0_34) ).

cnf(i_0_67,plain,
    ( end_point(esk20_1(X1),X1)
    | ~ open(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k3nvltzc/input.p',i_0_67) ).

cnf(i_0_42,plain,
    ( incident_c(X1,X2)
    | ~ inner_point(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k3nvltzc/input.p',i_0_42) ).

cnf(i_0_15,plain,
    inner_point(esk2_1(X1),X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k3nvltzc/input.p',i_0_15) ).

cnf(i_0_82,negated_conjecture,
    ( X1 = X2
    | ~ ordered_by(esk24_0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k3nvltzc/input.p',i_0_82) ).

cnf(i_0_52,plain,
    ( incident_o(X1,X2)
    | ~ incident_c(X1,esk13_1(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k3nvltzc/input.p',i_0_52) ).

cnf(i_0_54,plain,
    open(esk13_1(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k3nvltzc/input.p',i_0_54) ).

cnf(i_0_41,plain,
    ( ~ end_point(X1,X2)
    | ~ inner_point(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k3nvltzc/input.p',i_0_41) ).

cnf(c_0_93,plain,
    ( X1 = X2
    | ordered_by(X3,X1,X2)
    | ~ incident_o(X2,X3)
    | ~ start_point(X1,X3) ),
    i_0_74 ).

cnf(c_0_94,plain,
    start_point(esk16_1(X1),X1),
    i_0_60 ).

cnf(c_0_95,plain,
    ( incident_c(X1,X2)
    | ~ end_point(X1,X2) ),
    i_0_34 ).

cnf(c_0_96,plain,
    ( end_point(esk20_1(X1),X1)
    | ~ open(X1) ),
    i_0_67 ).

cnf(c_0_97,plain,
    ( incident_c(X1,X2)
    | ~ inner_point(X1,X2) ),
    i_0_42 ).

cnf(c_0_98,plain,
    inner_point(esk2_1(X1),X1),
    i_0_15 ).

cnf(c_0_99,negated_conjecture,
    ( X1 = X2
    | ~ ordered_by(esk24_0,X1,X2) ),
    i_0_82 ).

cnf(c_0_100,plain,
    ( esk16_1(X1) = X2
    | ordered_by(X1,esk16_1(X1),X2)
    | ~ incident_o(X2,X1) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_101,plain,
    ( incident_o(X1,X2)
    | ~ incident_c(X1,esk13_1(X2)) ),
    i_0_52 ).

cnf(c_0_102,plain,
    ( incident_c(esk20_1(X1),X1)
    | ~ open(X1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_103,plain,
    open(esk13_1(X1)),
    i_0_54 ).

cnf(c_0_104,plain,
    incident_c(esk2_1(X1),X1),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_105,negated_conjecture,
    ( esk16_1(esk24_0) = X1
    | ~ incident_o(X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_106,plain,
    incident_o(esk20_1(esk13_1(X1)),X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103])]) ).

cnf(c_0_107,plain,
    ( ~ end_point(X1,X2)
    | ~ inner_point(X1,X2) ),
    i_0_41 ).

cnf(c_0_108,plain,
    incident_o(esk2_1(esk13_1(X1)),X1),
    inference(spm,[status(thm)],[c_0_101,c_0_104]) ).

cnf(c_0_109,plain,
    esk20_1(esk13_1(esk24_0)) = esk16_1(esk24_0),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_110,plain,
    ~ end_point(esk2_1(X1),X1),
    inference(spm,[status(thm)],[c_0_107,c_0_98]) ).

cnf(c_0_111,plain,
    esk2_1(esk13_1(esk24_0)) = esk16_1(esk24_0),
    inference(spm,[status(thm)],[c_0_105,c_0_108]) ).

cnf(c_0_112,plain,
    end_point(esk16_1(esk24_0),esk13_1(esk24_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_109]),c_0_103])]) ).

cnf(c_0_113,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO126+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 04:24:29 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.48/2.56  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 8.48/2.56  # Version: 2.1pre011
% 8.48/2.56  # Preprocessing time       : 0.019 s
% 8.48/2.56  
% 8.48/2.56  # Proof found!
% 8.48/2.56  # SZS status Theorem
% 8.48/2.56  # SZS output start CNFRefutation
% See solution above
% 8.48/2.56  # Proof object total steps             : 31
% 8.48/2.56  # Proof object clause steps            : 21
% 8.48/2.56  # Proof object formula steps           : 10
% 8.48/2.56  # Proof object conjectures             : 3
% 8.48/2.56  # Proof object clause conjectures      : 2
% 8.48/2.56  # Proof object formula conjectures     : 1
% 8.48/2.56  # Proof object initial clauses used    : 10
% 8.48/2.56  # Proof object initial formulas used   : 10
% 8.48/2.56  # Proof object generating inferences   : 11
% 8.48/2.56  # Proof object simplifying inferences  : 6
% 8.48/2.56  # Training examples: 0 positive, 0 negative
% 8.48/2.56  # Parsed axioms                        : 86
% 8.48/2.56  # Removed by relevancy pruning/SinE    : 0
% 8.48/2.56  # Initial clauses                      : 86
% 8.48/2.56  # Removed in clause preprocessing      : 0
% 8.48/2.56  # Initial clauses in saturation        : 86
% 8.48/2.56  # Processed clauses                    : 183
% 8.48/2.56  # ...of these trivial                  : 0
% 8.48/2.56  # ...subsumed                          : 12
% 8.48/2.56  # ...remaining for further processing  : 171
% 8.48/2.56  # Other redundant clauses eliminated   : 4
% 8.48/2.56  # Clauses deleted for lack of memory   : 0
% 8.48/2.56  # Backward-subsumed                    : 0
% 8.48/2.56  # Backward-rewritten                   : 0
% 8.48/2.56  # Generated clauses                    : 498
% 8.48/2.56  # ...of the previous two non-trivial   : 448
% 8.48/2.56  # Contextual simplify-reflections      : 11
% 8.48/2.56  # Paramodulations                      : 476
% 8.48/2.56  # Factorizations                       : 11
% 8.48/2.56  # Equation resolutions                 : 11
% 8.48/2.56  # Propositional unsat checks           : 0
% 8.48/2.56  # Propositional unsat check successes  : 0
% 8.48/2.56  # Current number of processed clauses  : 170
% 8.48/2.56  #    Positive orientable unit clauses  : 12
% 8.48/2.56  #    Positive unorientable unit clauses: 0
% 8.48/2.56  #    Negative unit clauses             : 8
% 8.48/2.56  #    Non-unit-clauses                  : 150
% 8.48/2.56  # Current number of unprocessed clauses: 350
% 8.48/2.56  # ...number of literals in the above   : 1479
% 8.48/2.56  # Current number of archived formulas  : 0
% 8.48/2.56  # Current number of archived clauses   : 0
% 8.48/2.56  # Clause-clause subsumption calls (NU) : 3811
% 8.48/2.56  # Rec. Clause-clause subsumption calls : 1638
% 8.48/2.56  # Non-unit clause-clause subsumptions  : 23
% 8.48/2.56  # Unit Clause-clause subsumption calls : 1122
% 8.48/2.56  # Rewrite failures with RHS unbound    : 0
% 8.48/2.56  # BW rewrite match attempts            : 15
% 8.48/2.56  # BW rewrite match successes           : 0
% 8.48/2.56  # Condensation attempts                : 0
% 8.48/2.56  # Condensation successes               : 0
% 8.48/2.56  # Termbank termtop insertions          : 8283
% 8.48/2.56  
% 8.48/2.56  # -------------------------------------------------
% 8.48/2.56  # User time                : 0.032 s
% 8.48/2.56  # System time              : 0.003 s
% 8.48/2.56  # Total time               : 0.035 s
% 8.48/2.56  # ...preprocessing         : 0.019 s
% 8.48/2.56  # ...main loop             : 0.016 s
% 8.48/2.56  # Maximum resident set size: 7124 pages
% 8.48/2.56  
%------------------------------------------------------------------------------