TSTP Solution File: SET704+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET704+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 00:13:34 EDT 2022

% Result   : Theorem 8.54s 2.52s
% Output   : CNFRefutation 8.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (   5 unt;   3 nHn;  10 RR)
%            Number of literals    :   24 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_15,plain,
    ( member(X1,X2)
    | ~ member(X2,X3)
    | ~ member(X1,product(X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jycm3wmg/input.p',i_0_15) ).

cnf(i_0_19,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jycm3wmg/input.p',i_0_19) ).

cnf(i_0_18,plain,
    ( subset(X1,X2)
    | ~ member(esk2_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jycm3wmg/input.p',i_0_18) ).

cnf(i_0_24,negated_conjecture,
    ~ subset(product(esk4_0),esk5_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jycm3wmg/input.p',i_0_24) ).

cnf(i_0_25,negated_conjecture,
    member(esk5_0,esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jycm3wmg/input.p',i_0_25) ).

cnf(c_0_31,plain,
    ( member(X1,X2)
    | ~ member(X2,X3)
    | ~ member(X1,product(X3)) ),
    i_0_15 ).

cnf(c_0_32,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    i_0_19 ).

cnf(c_0_33,plain,
    ( subset(X1,X2)
    | ~ member(esk2_2(X1,X2),X2) ),
    i_0_18 ).

cnf(c_0_34,plain,
    ( subset(product(X1),X2)
    | member(esk2_2(product(X1),X2),X3)
    | ~ member(X3,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,negated_conjecture,
    ~ subset(product(esk4_0),esk5_0),
    i_0_24 ).

cnf(c_0_36,plain,
    ( subset(product(X1),X2)
    | ~ member(X2,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,negated_conjecture,
    member(esk5_0,esk4_0),
    i_0_25 ).

cnf(c_0_38,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET704+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jul 10 14:21:00 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.21/0.47  # ENIGMATIC: Selected SinE mode:
% 0.21/0.48  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.21/0.48  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.21/0.48  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.54/2.52  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 8.54/2.52  # Version: 2.1pre011
% 8.54/2.52  # Preprocessing time       : 0.012 s
% 8.54/2.52  
% 8.54/2.52  # Proof found!
% 8.54/2.52  # SZS status Theorem
% 8.54/2.52  # SZS output start CNFRefutation
% See solution above
% 8.54/2.52  # Proof object total steps             : 13
% 8.54/2.52  # Proof object clause steps            : 8
% 8.54/2.52  # Proof object formula steps           : 5
% 8.54/2.52  # Proof object conjectures             : 5
% 8.54/2.52  # Proof object clause conjectures      : 3
% 8.54/2.52  # Proof object formula conjectures     : 2
% 8.54/2.52  # Proof object initial clauses used    : 5
% 8.54/2.52  # Proof object initial formulas used   : 5
% 8.54/2.52  # Proof object generating inferences   : 3
% 8.54/2.52  # Proof object simplifying inferences  : 2
% 8.54/2.52  # Training examples: 0 positive, 0 negative
% 8.54/2.52  # Parsed axioms                        : 31
% 8.54/2.52  # Removed by relevancy pruning/SinE    : 0
% 8.54/2.52  # Initial clauses                      : 31
% 8.54/2.52  # Removed in clause preprocessing      : 0
% 8.54/2.52  # Initial clauses in saturation        : 31
% 8.54/2.52  # Processed clauses                    : 74
% 8.54/2.52  # ...of these trivial                  : 0
% 8.54/2.52  # ...subsumed                          : 7
% 8.54/2.52  # ...remaining for further processing  : 67
% 8.54/2.52  # Other redundant clauses eliminated   : 5
% 8.54/2.52  # Clauses deleted for lack of memory   : 0
% 8.54/2.52  # Backward-subsumed                    : 0
% 8.54/2.52  # Backward-rewritten                   : 0
% 8.54/2.52  # Generated clauses                    : 242
% 8.54/2.52  # ...of the previous two non-trivial   : 221
% 8.54/2.52  # Contextual simplify-reflections      : 1
% 8.54/2.52  # Paramodulations                      : 235
% 8.54/2.52  # Factorizations                       : 2
% 8.54/2.52  # Equation resolutions                 : 5
% 8.54/2.52  # Propositional unsat checks           : 0
% 8.54/2.52  # Propositional unsat check successes  : 0
% 8.54/2.52  # Current number of processed clauses  : 64
% 8.54/2.52  #    Positive orientable unit clauses  : 14
% 8.54/2.52  #    Positive unorientable unit clauses: 0
% 8.54/2.52  #    Negative unit clauses             : 11
% 8.54/2.52  #    Non-unit-clauses                  : 39
% 8.54/2.52  # Current number of unprocessed clauses: 176
% 8.54/2.52  # ...number of literals in the above   : 349
% 8.54/2.52  # Current number of archived formulas  : 0
% 8.54/2.52  # Current number of archived clauses   : 0
% 8.54/2.52  # Clause-clause subsumption calls (NU) : 212
% 8.54/2.52  # Rec. Clause-clause subsumption calls : 176
% 8.54/2.52  # Non-unit clause-clause subsumptions  : 5
% 8.54/2.52  # Unit Clause-clause subsumption calls : 69
% 8.54/2.52  # Rewrite failures with RHS unbound    : 0
% 8.54/2.52  # BW rewrite match attempts            : 12
% 8.54/2.52  # BW rewrite match successes           : 0
% 8.54/2.52  # Condensation attempts                : 0
% 8.54/2.52  # Condensation successes               : 0
% 8.54/2.52  # Termbank termtop insertions          : 2716
% 8.54/2.52  
% 8.54/2.52  # -------------------------------------------------
% 8.54/2.52  # User time                : 0.011 s
% 8.54/2.52  # System time              : 0.005 s
% 8.54/2.52  # Total time               : 0.015 s
% 8.54/2.52  # ...preprocessing         : 0.012 s
% 8.54/2.52  # ...main loop             : 0.003 s
% 8.54/2.52  # Maximum resident set size: 7132 pages
% 8.54/2.52  
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