TSTP Solution File: SET084+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET084+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 00:09:13 EDT 2022

% Result   : Theorem 7.82s 2.30s
% Output   : CNFRefutation 7.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (   7 unt;   2 nHn;  10 RR)
%            Number of literals    :   23 (  11 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    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_91,plain,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lbddcid6/input.p',i_0_91) ).

cnf(i_0_70,negated_conjecture,
    unordered_pair(esk6_0,esk6_0) = unordered_pair(esk7_0,esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lbddcid6/input.p',i_0_70) ).

cnf(i_0_89,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X3
    | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lbddcid6/input.p',i_0_89) ).

cnf(i_0_69,negated_conjecture,
    member(esk7_0,universal_class),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lbddcid6/input.p',i_0_69) ).

cnf(i_0_68,negated_conjecture,
    esk6_0 != esk7_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lbddcid6/input.p',i_0_68) ).

cnf(c_0_97,plain,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X3,X2)) ),
    i_0_91 ).

cnf(c_0_98,negated_conjecture,
    unordered_pair(esk6_0,esk6_0) = unordered_pair(esk7_0,esk7_0),
    i_0_70 ).

cnf(c_0_99,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X3
    | ~ member(X1,universal_class) ),
    i_0_89 ).

cnf(c_0_100,negated_conjecture,
    ( X1 = esk6_0
    | ~ member(X1,unordered_pair(esk7_0,esk7_0)) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_101,plain,
    ( member(X1,unordered_pair(X2,X1))
    | ~ member(X1,universal_class) ),
    inference(er,[status(thm)],[c_0_99]) ).

cnf(c_0_102,negated_conjecture,
    member(esk7_0,universal_class),
    i_0_69 ).

cnf(c_0_103,negated_conjecture,
    esk6_0 != esk7_0,
    i_0_68 ).

cnf(c_0_104,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102])]),c_0_103]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET084+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul 10 03:01:33 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.82/2.30  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.82/2.30  # Version: 2.1pre011
% 7.82/2.30  # Preprocessing time       : 0.011 s
% 7.82/2.30  
% 7.82/2.30  # Proof found!
% 7.82/2.30  # SZS status Theorem
% 7.82/2.30  # SZS output start CNFRefutation
% See solution above
% 7.82/2.30  # Proof object total steps             : 13
% 7.82/2.30  # Proof object clause steps            : 8
% 7.82/2.30  # Proof object formula steps           : 5
% 7.82/2.30  # Proof object conjectures             : 7
% 7.82/2.30  # Proof object clause conjectures      : 4
% 7.82/2.30  # Proof object formula conjectures     : 3
% 7.82/2.30  # Proof object initial clauses used    : 5
% 7.82/2.30  # Proof object initial formulas used   : 5
% 7.82/2.30  # Proof object generating inferences   : 2
% 7.82/2.30  # Proof object simplifying inferences  : 4
% 7.82/2.30  # Training examples: 0 positive, 0 negative
% 7.82/2.30  # Parsed axioms                        : 84
% 7.82/2.30  # Removed by relevancy pruning/SinE    : 0
% 7.82/2.30  # Initial clauses                      : 84
% 7.82/2.30  # Removed in clause preprocessing      : 0
% 7.82/2.30  # Initial clauses in saturation        : 84
% 7.82/2.30  # Processed clauses                    : 96
% 7.82/2.30  # ...of these trivial                  : 2
% 7.82/2.30  # ...subsumed                          : 1
% 7.82/2.30  # ...remaining for further processing  : 93
% 7.82/2.30  # Other redundant clauses eliminated   : 5
% 7.82/2.30  # Clauses deleted for lack of memory   : 0
% 7.82/2.30  # Backward-subsumed                    : 4
% 7.82/2.30  # Backward-rewritten                   : 0
% 7.82/2.30  # Generated clauses                    : 328
% 7.82/2.30  # ...of the previous two non-trivial   : 296
% 7.82/2.30  # Contextual simplify-reflections      : 0
% 7.82/2.30  # Paramodulations                      : 321
% 7.82/2.30  # Factorizations                       : 0
% 7.82/2.30  # Equation resolutions                 : 7
% 7.82/2.30  # Propositional unsat checks           : 0
% 7.82/2.30  # Propositional unsat check successes  : 0
% 7.82/2.30  # Current number of processed clauses  : 85
% 7.82/2.30  #    Positive orientable unit clauses  : 16
% 7.82/2.30  #    Positive unorientable unit clauses: 0
% 7.82/2.30  #    Negative unit clauses             : 2
% 7.82/2.30  #    Non-unit-clauses                  : 67
% 7.82/2.30  # Current number of unprocessed clauses: 252
% 7.82/2.30  # ...number of literals in the above   : 665
% 7.82/2.30  # Current number of archived formulas  : 0
% 7.82/2.30  # Current number of archived clauses   : 4
% 7.82/2.30  # Clause-clause subsumption calls (NU) : 1050
% 7.82/2.30  # Rec. Clause-clause subsumption calls : 985
% 7.82/2.30  # Non-unit clause-clause subsumptions  : 5
% 7.82/2.30  # Unit Clause-clause subsumption calls : 73
% 7.82/2.30  # Rewrite failures with RHS unbound    : 0
% 7.82/2.30  # BW rewrite match attempts            : 13
% 7.82/2.30  # BW rewrite match successes           : 0
% 7.82/2.30  # Condensation attempts                : 0
% 7.82/2.30  # Condensation successes               : 0
% 7.82/2.30  # Termbank termtop insertions          : 10137
% 7.82/2.30  
% 7.82/2.30  # -------------------------------------------------
% 7.82/2.30  # User time                : 0.012 s
% 7.82/2.30  # System time              : 0.005 s
% 7.82/2.30  # Total time               : 0.017 s
% 7.82/2.30  # ...preprocessing         : 0.011 s
% 7.82/2.30  # ...main loop             : 0.006 s
% 7.82/2.30  # Maximum resident set size: 7136 pages
% 7.82/2.30  
%------------------------------------------------------------------------------