TSTP Solution File: SET090+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET090+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 00:09:17 EDT 2022

% Result   : Theorem 8.43s 2.46s
% Output   : CNFRefutation 8.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   29 (  15 unt;   5 nHn;  19 RR)
%            Number of literals    :   50 (  24 equ;  19 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   33 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_90,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X3
    | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ltnjfpgh/input.p',i_0_90) ).

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

cnf(i_0_71,plain,
    ( member_of(X1) = X1
    | unordered_pair(member_of(X1),member_of(X1)) = X1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ltnjfpgh/input.p',i_0_71) ).

cnf(i_0_50,negated_conjecture,
    unordered_pair(esk6_0,esk6_0) = esk5_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ltnjfpgh/input.p',i_0_50) ).

cnf(i_0_51,negated_conjecture,
    member(esk6_0,universal_class),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ltnjfpgh/input.p',i_0_51) ).

cnf(i_0_49,negated_conjecture,
    member_of(esk5_0) != esk6_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ltnjfpgh/input.p',i_0_49) ).

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-ltnjfpgh/input.p',i_0_91) ).

cnf(i_0_52,plain,
    ( unordered_pair(member_of(unordered_pair(X1,X1)),member_of(unordered_pair(X1,X1))) = unordered_pair(X1,X1)
    | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ltnjfpgh/input.p',i_0_52) ).

cnf(i_0_89,plain,
    member(unordered_pair(X1,X2),universal_class),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ltnjfpgh/input.p',i_0_89) ).

cnf(c_0_102,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X3
    | ~ member(X1,universal_class) ),
    i_0_90 ).

cnf(c_0_103,plain,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X3,X2)) ),
    i_0_92 ).

cnf(c_0_104,plain,
    ( member_of(X1) = X1
    | unordered_pair(member_of(X1),member_of(X1)) = X1 ),
    i_0_71 ).

cnf(c_0_105,plain,
    ( member(X1,unordered_pair(X2,X1))
    | ~ member(X1,universal_class) ),
    inference(er,[status(thm)],[c_0_102]) ).

cnf(c_0_106,negated_conjecture,
    unordered_pair(esk6_0,esk6_0) = esk5_0,
    i_0_50 ).

cnf(c_0_107,negated_conjecture,
    member(esk6_0,universal_class),
    i_0_51 ).

cnf(c_0_108,plain,
    ( member_of(X1) = X1
    | X2 = member_of(X1)
    | ~ member(X2,X1) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_109,negated_conjecture,
    member(esk6_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107])]) ).

cnf(c_0_110,negated_conjecture,
    member_of(esk5_0) != esk6_0,
    i_0_49 ).

cnf(c_0_111,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X2
    | ~ member(X1,universal_class) ),
    i_0_91 ).

cnf(c_0_112,plain,
    ( unordered_pair(member_of(unordered_pair(X1,X1)),member_of(unordered_pair(X1,X1))) = unordered_pair(X1,X1)
    | ~ member(X1,universal_class) ),
    i_0_52 ).

cnf(c_0_113,negated_conjecture,
    member_of(esk5_0) = esk5_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]) ).

cnf(c_0_114,plain,
    member(unordered_pair(X1,X2),universal_class),
    i_0_89 ).

cnf(c_0_115,plain,
    ( member(X1,unordered_pair(X1,X2))
    | ~ member(X1,universal_class) ),
    inference(er,[status(thm)],[c_0_111]) ).

cnf(c_0_116,negated_conjecture,
    unordered_pair(esk5_0,esk5_0) = esk5_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_106]),c_0_107])]),c_0_113]),c_0_113]) ).

cnf(c_0_117,negated_conjecture,
    member(esk5_0,universal_class),
    inference(spm,[status(thm)],[c_0_114,c_0_106]) ).

cnf(c_0_118,negated_conjecture,
    ( X1 = esk6_0
    | ~ member(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_103,c_0_106]) ).

cnf(c_0_119,plain,
    member(esk5_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117])]) ).

cnf(c_0_120,negated_conjecture,
    esk5_0 != esk6_0,
    inference(rw,[status(thm)],[c_0_110,c_0_113]) ).

cnf(c_0_121,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET090+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.04/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n023.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 Jul  9 22:01:27 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # 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
% 8.43/2.46  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 8.43/2.46  # Version: 2.1pre011
% 8.43/2.46  # Preprocessing time       : 0.014 s
% 8.43/2.46  
% 8.43/2.46  # Proof found!
% 8.43/2.46  # SZS status Theorem
% 8.43/2.46  # SZS output start CNFRefutation
% See solution above
% 8.43/2.46  # Proof object total steps             : 29
% 8.43/2.46  # Proof object clause steps            : 20
% 8.43/2.46  # Proof object formula steps           : 9
% 8.43/2.46  # Proof object conjectures             : 13
% 8.43/2.46  # Proof object clause conjectures      : 10
% 8.43/2.46  # Proof object formula conjectures     : 3
% 8.43/2.46  # Proof object initial clauses used    : 9
% 8.43/2.46  # Proof object initial formulas used   : 9
% 8.43/2.46  # Proof object generating inferences   : 8
% 8.43/2.46  # Proof object simplifying inferences  : 13
% 8.43/2.46  # Training examples: 0 positive, 0 negative
% 8.43/2.46  # Parsed axioms                        : 85
% 8.43/2.46  # Removed by relevancy pruning/SinE    : 0
% 8.43/2.46  # Initial clauses                      : 85
% 8.43/2.46  # Removed in clause preprocessing      : 0
% 8.43/2.46  # Initial clauses in saturation        : 85
% 8.43/2.46  # Processed clauses                    : 200
% 8.43/2.46  # ...of these trivial                  : 5
% 8.43/2.46  # ...subsumed                          : 15
% 8.43/2.46  # ...remaining for further processing  : 180
% 8.43/2.46  # Other redundant clauses eliminated   : 7
% 8.43/2.46  # Clauses deleted for lack of memory   : 0
% 8.43/2.46  # Backward-subsumed                    : 12
% 8.43/2.46  # Backward-rewritten                   : 15
% 8.43/2.46  # Generated clauses                    : 1270
% 8.43/2.46  # ...of the previous two non-trivial   : 1182
% 8.43/2.46  # Contextual simplify-reflections      : 8
% 8.43/2.46  # Paramodulations                      : 1254
% 8.43/2.46  # Factorizations                       : 7
% 8.43/2.46  # Equation resolutions                 : 9
% 8.43/2.46  # Propositional unsat checks           : 0
% 8.43/2.46  # Propositional unsat check successes  : 0
% 8.43/2.46  # Current number of processed clauses  : 149
% 8.43/2.46  #    Positive orientable unit clauses  : 28
% 8.43/2.46  #    Positive unorientable unit clauses: 0
% 8.43/2.46  #    Negative unit clauses             : 2
% 8.43/2.46  #    Non-unit-clauses                  : 119
% 8.43/2.46  # Current number of unprocessed clauses: 642
% 8.43/2.46  # ...number of literals in the above   : 1947
% 8.43/2.46  # Current number of archived formulas  : 0
% 8.43/2.46  # Current number of archived clauses   : 27
% 8.43/2.46  # Clause-clause subsumption calls (NU) : 3261
% 8.43/2.46  # Rec. Clause-clause subsumption calls : 2717
% 8.43/2.46  # Non-unit clause-clause subsumptions  : 27
% 8.43/2.46  # Unit Clause-clause subsumption calls : 751
% 8.43/2.46  # Rewrite failures with RHS unbound    : 0
% 8.43/2.46  # BW rewrite match attempts            : 21
% 8.43/2.46  # BW rewrite match successes           : 7
% 8.43/2.46  # Condensation attempts                : 0
% 8.43/2.46  # Condensation successes               : 0
% 8.43/2.46  # Termbank termtop insertions          : 27611
% 8.43/2.46  
% 8.43/2.46  # -------------------------------------------------
% 8.43/2.46  # User time                : 0.025 s
% 8.43/2.46  # System time              : 0.008 s
% 8.43/2.46  # Total time               : 0.034 s
% 8.43/2.46  # ...preprocessing         : 0.014 s
% 8.43/2.46  # ...main loop             : 0.020 s
% 8.43/2.46  # Maximum resident set size: 7132 pages
% 8.43/2.46  
%------------------------------------------------------------------------------