TSTP Solution File: SET072+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET072+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : Tue Jul 19 00:09:02 EDT 2022

% Result   : Theorem 8.06s 2.47s
% Output   : CNFRefutation 8.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (  12 unt;   3 nHn;  15 RR)
%            Number of literals    :   29 (  14 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   15 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_92,plain,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1qtrkt4o/input.p',i_0_92) ).

cnf(i_0_65,negated_conjecture,
    unordered_pair(esk7_0,esk8_0) = unordered_pair(esk6_0,esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1qtrkt4o/input.p',i_0_65) ).

cnf(i_0_91,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X2
    | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1qtrkt4o/input.p',i_0_91) ).

cnf(i_0_67,negated_conjecture,
    member(esk6_0,universal_class),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1qtrkt4o/input.p',i_0_67) ).

cnf(i_0_64,negated_conjecture,
    esk7_0 != esk6_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1qtrkt4o/input.p',i_0_64) ).

cnf(i_0_66,negated_conjecture,
    member(esk7_0,universal_class),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1qtrkt4o/input.p',i_0_66) ).

cnf(c_0_99,plain,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X3,X2)) ),
    i_0_92 ).

cnf(c_0_100,negated_conjecture,
    unordered_pair(esk7_0,esk8_0) = unordered_pair(esk6_0,esk8_0),
    i_0_65 ).

cnf(c_0_101,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X2
    | ~ member(X1,universal_class) ),
    i_0_91 ).

cnf(c_0_102,negated_conjecture,
    ( X1 = esk7_0
    | X1 = esk8_0
    | ~ member(X1,unordered_pair(esk6_0,esk8_0)) ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_103,plain,
    ( member(X1,unordered_pair(X1,X2))
    | ~ member(X1,universal_class) ),
    inference(er,[status(thm)],[c_0_101]) ).

cnf(c_0_104,negated_conjecture,
    member(esk6_0,universal_class),
    i_0_67 ).

cnf(c_0_105,negated_conjecture,
    esk7_0 != esk6_0,
    i_0_64 ).

cnf(c_0_106,plain,
    esk8_0 = esk6_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104])]),c_0_105]) ).

cnf(c_0_107,negated_conjecture,
    unordered_pair(esk7_0,esk6_0) = unordered_pair(esk6_0,esk6_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_106]),c_0_106]) ).

cnf(c_0_108,negated_conjecture,
    member(esk7_0,universal_class),
    i_0_66 ).

cnf(c_0_109,plain,
    member(esk7_0,unordered_pair(esk6_0,esk6_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_107]),c_0_108])]) ).

cnf(c_0_110,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_109]),c_0_105]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET072+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jul 10 01:08:38 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.45  # ENIGMATIC: Selected SinE mode:
% 0.21/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.21/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.21/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.06/2.47  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 8.06/2.47  # Version: 2.1pre011
% 8.06/2.47  # Preprocessing time       : 0.011 s
% 8.06/2.47  
% 8.06/2.47  # Proof found!
% 8.06/2.47  # SZS status Theorem
% 8.06/2.47  # SZS output start CNFRefutation
% See solution above
% 8.06/2.47  # Proof object total steps             : 18
% 8.06/2.47  # Proof object clause steps            : 12
% 8.06/2.47  # Proof object formula steps           : 6
% 8.06/2.47  # Proof object conjectures             : 10
% 8.06/2.47  # Proof object clause conjectures      : 6
% 8.06/2.47  # Proof object formula conjectures     : 4
% 8.06/2.47  # Proof object initial clauses used    : 6
% 8.06/2.47  # Proof object initial formulas used   : 6
% 8.06/2.47  # Proof object generating inferences   : 4
% 8.06/2.47  # Proof object simplifying inferences  : 9
% 8.06/2.47  # Training examples: 0 positive, 0 negative
% 8.06/2.47  # Parsed axioms                        : 85
% 8.06/2.47  # Removed by relevancy pruning/SinE    : 0
% 8.06/2.47  # Initial clauses                      : 85
% 8.06/2.47  # Removed in clause preprocessing      : 0
% 8.06/2.47  # Initial clauses in saturation        : 85
% 8.06/2.47  # Processed clauses                    : 106
% 8.06/2.47  # ...of these trivial                  : 2
% 8.06/2.47  # ...subsumed                          : 1
% 8.06/2.47  # ...remaining for further processing  : 103
% 8.06/2.47  # Other redundant clauses eliminated   : 5
% 8.06/2.47  # Clauses deleted for lack of memory   : 0
% 8.06/2.47  # Backward-subsumed                    : 4
% 8.06/2.47  # Backward-rewritten                   : 3
% 8.06/2.47  # Generated clauses                    : 280
% 8.06/2.47  # ...of the previous two non-trivial   : 245
% 8.06/2.47  # Contextual simplify-reflections      : 0
% 8.06/2.47  # Paramodulations                      : 273
% 8.06/2.47  # Factorizations                       : 0
% 8.06/2.47  # Equation resolutions                 : 7
% 8.06/2.47  # Propositional unsat checks           : 0
% 8.06/2.47  # Propositional unsat check successes  : 0
% 8.06/2.47  # Current number of processed clauses  : 92
% 8.06/2.47  #    Positive orientable unit clauses  : 22
% 8.06/2.47  #    Positive unorientable unit clauses: 0
% 8.06/2.47  #    Negative unit clauses             : 2
% 8.06/2.47  #    Non-unit-clauses                  : 68
% 8.06/2.47  # Current number of unprocessed clauses: 189
% 8.06/2.47  # ...number of literals in the above   : 520
% 8.06/2.47  # Current number of archived formulas  : 0
% 8.06/2.47  # Current number of archived clauses   : 7
% 8.06/2.47  # Clause-clause subsumption calls (NU) : 1088
% 8.06/2.47  # Rec. Clause-clause subsumption calls : 1010
% 8.06/2.47  # Non-unit clause-clause subsumptions  : 5
% 8.06/2.47  # Unit Clause-clause subsumption calls : 220
% 8.06/2.47  # Rewrite failures with RHS unbound    : 0
% 8.06/2.47  # BW rewrite match attempts            : 15
% 8.06/2.47  # BW rewrite match successes           : 2
% 8.06/2.47  # Condensation attempts                : 0
% 8.06/2.47  # Condensation successes               : 0
% 8.06/2.47  # Termbank termtop insertions          : 8119
% 8.06/2.47  
% 8.06/2.47  # -------------------------------------------------
% 8.06/2.47  # User time                : 0.013 s
% 8.06/2.47  # System time              : 0.004 s
% 8.06/2.47  # Total time               : 0.017 s
% 8.06/2.47  # ...preprocessing         : 0.011 s
% 8.06/2.47  # ...main loop             : 0.005 s
% 8.06/2.47  # Maximum resident set size: 7132 pages
% 8.06/2.47  
%------------------------------------------------------------------------------