TSTP Solution File: SET062+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET062+4 : TPTP v8.1.0. Released v2.2.0.
% 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 00:08:50 EDT 2022

% Result   : Theorem 5.06s 2.27s
% Output   : CNFRefutation 5.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   6 unt;   2 nHn;   5 RR)
%            Number of literals    :   10 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   3 sgn)

% Comments : 
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cnf(i_0_4,plain,
    ~ member(X1,empty_set),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yk9x9muj/input.p',i_0_4) ).

cnf(i_0_19,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yk9x9muj/input.p',i_0_19) ).

cnf(i_0_24,negated_conjecture,
    ~ subset(empty_set,esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yk9x9muj/input.p',i_0_24) ).

cnf(c_0_28,plain,
    ~ member(X1,empty_set),
    i_0_4 ).

cnf(c_0_29,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    i_0_19 ).

cnf(c_0_30,negated_conjecture,
    ~ subset(empty_set,esk4_0),
    i_0_24 ).

cnf(c_0_31,plain,
    subset(empty_set,X1),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]),
    [proof] ).

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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET062+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n009.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 : Sun Jul 10 10:19:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 5.06/2.27  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 5.06/2.27  # Version: 2.1pre011
% 5.06/2.27  # Preprocessing time       : 0.017 s
% 5.06/2.27  
% 5.06/2.27  # Proof found!
% 5.06/2.27  # SZS status Theorem
% 5.06/2.27  # SZS output start CNFRefutation
% See solution above
% 5.06/2.27  # Proof object total steps             : 8
% 5.06/2.27  # Proof object clause steps            : 5
% 5.06/2.27  # Proof object formula steps           : 3
% 5.06/2.27  # Proof object conjectures             : 3
% 5.06/2.27  # Proof object clause conjectures      : 2
% 5.06/2.27  # Proof object formula conjectures     : 1
% 5.06/2.27  # Proof object initial clauses used    : 3
% 5.06/2.27  # Proof object initial formulas used   : 3
% 5.06/2.27  # Proof object generating inferences   : 1
% 5.06/2.27  # Proof object simplifying inferences  : 2
% 5.06/2.27  # Training examples: 0 positive, 0 negative
% 5.06/2.27  # Parsed axioms                        : 30
% 5.06/2.27  # Removed by relevancy pruning/SinE    : 0
% 5.06/2.27  # Initial clauses                      : 30
% 5.06/2.27  # Removed in clause preprocessing      : 0
% 5.06/2.27  # Initial clauses in saturation        : 30
% 5.06/2.27  # Processed clauses                    : 33
% 5.06/2.27  # ...of these trivial                  : 0
% 5.06/2.27  # ...subsumed                          : 0
% 5.06/2.27  # ...remaining for further processing  : 33
% 5.06/2.27  # Other redundant clauses eliminated   : 3
% 5.06/2.27  # Clauses deleted for lack of memory   : 0
% 5.06/2.27  # Backward-subsumed                    : 0
% 5.06/2.27  # Backward-rewritten                   : 1
% 5.06/2.27  # Generated clauses                    : 64
% 5.06/2.27  # ...of the previous two non-trivial   : 54
% 5.06/2.27  # Contextual simplify-reflections      : 0
% 5.06/2.27  # Paramodulations                      : 61
% 5.06/2.27  # Factorizations                       : 0
% 5.06/2.27  # Equation resolutions                 : 3
% 5.06/2.27  # Propositional unsat checks           : 0
% 5.06/2.27  # Propositional unsat check successes  : 0
% 5.06/2.27  # Current number of processed clauses  : 29
% 5.06/2.27  #    Positive orientable unit clauses  : 1
% 5.06/2.27  #    Positive unorientable unit clauses: 0
% 5.06/2.27  #    Negative unit clauses             : 3
% 5.06/2.27  #    Non-unit-clauses                  : 25
% 5.06/2.27  # Current number of unprocessed clauses: 51
% 5.06/2.27  # ...number of literals in the above   : 114
% 5.06/2.27  # Current number of archived formulas  : 0
% 5.06/2.27  # Current number of archived clauses   : 1
% 5.06/2.27  # Clause-clause subsumption calls (NU) : 78
% 5.06/2.27  # Rec. Clause-clause subsumption calls : 75
% 5.06/2.27  # Non-unit clause-clause subsumptions  : 0
% 5.06/2.27  # Unit Clause-clause subsumption calls : 5
% 5.06/2.27  # Rewrite failures with RHS unbound    : 0
% 5.06/2.27  # BW rewrite match attempts            : 1
% 5.06/2.27  # BW rewrite match successes           : 1
% 5.06/2.27  # Condensation attempts                : 0
% 5.06/2.27  # Condensation successes               : 0
% 5.06/2.27  # Termbank termtop insertions          : 1100
% 5.06/2.27  
% 5.06/2.27  # -------------------------------------------------
% 5.06/2.27  # User time                : 0.014 s
% 5.06/2.27  # System time              : 0.005 s
% 5.06/2.27  # Total time               : 0.019 s
% 5.06/2.27  # ...preprocessing         : 0.017 s
% 5.06/2.27  # ...main loop             : 0.002 s
% 5.06/2.27  # Maximum resident set size: 7132 pages
% 5.06/2.27  
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