TSTP Solution File: SET101+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET101+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 00:09:29 EDT 2022

% Result   : Theorem 7.64s 2.41s
% Output   : CNFRefutation 7.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   5 unt;   0 nHn;   3 RR)
%            Number of literals    :   13 (   2 equ;   7 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    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_88,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X2
    | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mo8jhdb5/input.p',i_0_88) ).

cnf(i_0_68,negated_conjecture,
    ~ member(unordered_pair(esk6_0,esk6_0),unordered_pair(unordered_pair(esk6_0,esk6_0),unordered_pair(esk6_0,unordered_pair(esk7_0,esk7_0)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mo8jhdb5/input.p',i_0_68) ).

cnf(i_0_86,plain,
    member(unordered_pair(X1,X2),universal_class),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mo8jhdb5/input.p',i_0_86) ).

cnf(c_0_92,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X2
    | ~ member(X1,universal_class) ),
    i_0_88 ).

cnf(c_0_93,negated_conjecture,
    ~ member(unordered_pair(esk6_0,esk6_0),unordered_pair(unordered_pair(esk6_0,esk6_0),unordered_pair(esk6_0,unordered_pair(esk7_0,esk7_0)))),
    i_0_68 ).

cnf(c_0_94,plain,
    ( member(X1,unordered_pair(X1,X2))
    | ~ member(X1,universal_class) ),
    inference(er,[status(thm)],[c_0_92]) ).

cnf(c_0_95,plain,
    member(unordered_pair(X1,X2),universal_class),
    i_0_86 ).

cnf(c_0_96,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET101+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.04/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n029.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 : Mon Jul 11 07:21:33 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox/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
% 7.64/2.41  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.64/2.41  # Version: 2.1pre011
% 7.64/2.41  # Preprocessing time       : 0.015 s
% 7.64/2.41  
% 7.64/2.41  # Proof found!
% 7.64/2.41  # SZS status Theorem
% 7.64/2.41  # SZS output start CNFRefutation
% See solution above
% 7.64/2.41  # Proof object total steps             : 8
% 7.64/2.41  # Proof object clause steps            : 5
% 7.64/2.41  # Proof object formula steps           : 3
% 7.64/2.41  # Proof object conjectures             : 3
% 7.64/2.41  # Proof object clause conjectures      : 2
% 7.64/2.41  # Proof object formula conjectures     : 1
% 7.64/2.41  # Proof object initial clauses used    : 3
% 7.64/2.41  # Proof object initial formulas used   : 3
% 7.64/2.41  # Proof object generating inferences   : 1
% 7.64/2.41  # Proof object simplifying inferences  : 3
% 7.64/2.41  # Training examples: 0 positive, 0 negative
% 7.64/2.41  # Parsed axioms                        : 82
% 7.64/2.41  # Removed by relevancy pruning/SinE    : 0
% 7.64/2.41  # Initial clauses                      : 82
% 7.64/2.41  # Removed in clause preprocessing      : 0
% 7.64/2.41  # Initial clauses in saturation        : 82
% 7.64/2.41  # Processed clauses                    : 100
% 7.64/2.41  # ...of these trivial                  : 2
% 7.64/2.41  # ...subsumed                          : 2
% 7.64/2.41  # ...remaining for further processing  : 96
% 7.64/2.41  # Other redundant clauses eliminated   : 5
% 7.64/2.41  # Clauses deleted for lack of memory   : 0
% 7.64/2.41  # Backward-subsumed                    : 0
% 7.64/2.41  # Backward-rewritten                   : 2
% 7.64/2.41  # Generated clauses                    : 228
% 7.64/2.41  # ...of the previous two non-trivial   : 202
% 7.64/2.41  # Contextual simplify-reflections      : 0
% 7.64/2.41  # Paramodulations                      : 221
% 7.64/2.41  # Factorizations                       : 0
% 7.64/2.41  # Equation resolutions                 : 7
% 7.64/2.41  # Propositional unsat checks           : 0
% 7.64/2.41  # Propositional unsat check successes  : 0
% 7.64/2.41  # Current number of processed clauses  : 90
% 7.64/2.41  #    Positive orientable unit clauses  : 15
% 7.64/2.41  #    Positive unorientable unit clauses: 0
% 7.64/2.41  #    Negative unit clauses             : 2
% 7.64/2.41  #    Non-unit-clauses                  : 73
% 7.64/2.41  # Current number of unprocessed clauses: 178
% 7.64/2.41  # ...number of literals in the above   : 493
% 7.64/2.41  # Current number of archived formulas  : 0
% 7.64/2.41  # Current number of archived clauses   : 2
% 7.64/2.41  # Clause-clause subsumption calls (NU) : 1147
% 7.64/2.41  # Rec. Clause-clause subsumption calls : 1052
% 7.64/2.41  # Non-unit clause-clause subsumptions  : 0
% 7.64/2.41  # Unit Clause-clause subsumption calls : 351
% 7.64/2.41  # Rewrite failures with RHS unbound    : 0
% 7.64/2.41  # BW rewrite match attempts            : 15
% 7.64/2.41  # BW rewrite match successes           : 2
% 7.64/2.41  # Condensation attempts                : 0
% 7.64/2.41  # Condensation successes               : 0
% 7.64/2.41  # Termbank termtop insertions          : 7559
% 7.64/2.41  
% 7.64/2.41  # -------------------------------------------------
% 7.64/2.41  # User time                : 0.018 s
% 7.64/2.41  # System time              : 0.005 s
% 7.64/2.41  # Total time               : 0.022 s
% 7.64/2.41  # ...preprocessing         : 0.015 s
% 7.64/2.41  # ...main loop             : 0.007 s
% 7.64/2.41  # Maximum resident set size: 7128 pages
% 7.64/2.41  
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