TSTP Solution File: REL008+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : REL008+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 : Mon Jul 18 19:12:55 EDT 2022

% Result   : Theorem 8.07s 2.49s
% Output   : CNFRefutation 8.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   15 (  15 unt;   0 nHn;   3 RR)
%            Number of literals    :   15 (  14 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
    composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gzp83te3/input.p',i_0_7) ).

cnf(i_0_6,plain,
    converse(converse(X1)) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gzp83te3/input.p',i_0_6) ).

cnf(i_0_4,plain,
    join(converse(X1),converse(X2)) = converse(join(X1,X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gzp83te3/input.p',i_0_4) ).

cnf(i_0_2,plain,
    join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gzp83te3/input.p',i_0_2) ).

cnf(i_0_10,negated_conjecture,
    join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0)) != composition(esk1_0,join(esk2_0,esk3_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gzp83te3/input.p',i_0_10) ).

cnf(c_0_16,plain,
    composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
    i_0_7 ).

cnf(c_0_17,plain,
    converse(converse(X1)) = X1,
    i_0_6 ).

cnf(c_0_18,plain,
    join(converse(X1),converse(X2)) = converse(join(X1,X2)),
    i_0_4 ).

cnf(c_0_19,plain,
    converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,plain,
    join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
    i_0_2 ).

cnf(c_0_21,plain,
    converse(join(X1,composition(converse(X2),X3))) = join(converse(X1),composition(converse(X3),X2)),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,plain,
    join(converse(composition(X1,X2)),composition(X3,converse(X1))) = composition(join(converse(X2),X3),converse(X1)),
    inference(spm,[status(thm)],[c_0_20,c_0_16]) ).

cnf(c_0_23,negated_conjecture,
    join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0)) != composition(esk1_0,join(esk2_0,esk3_0)),
    i_0_10 ).

cnf(c_0_24,plain,
    join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_18]),c_0_16]),c_0_17]),c_0_17]),c_0_17]) ).

cnf(c_0_25,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : REL008+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jul  8 12:14:46 EDT 2022
% 0.12/0.34  % 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
% 8.07/2.49  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 8.07/2.49  # Version: 2.1pre011
% 8.07/2.49  # Preprocessing time       : 0.024 s
% 8.07/2.49  
% 8.07/2.49  # Proof found!
% 8.07/2.49  # SZS status Theorem
% 8.07/2.49  # SZS output start CNFRefutation
% See solution above
% 8.07/2.49  # Proof object total steps             : 15
% 8.07/2.49  # Proof object clause steps            : 10
% 8.07/2.49  # Proof object formula steps           : 5
% 8.07/2.49  # Proof object conjectures             : 3
% 8.07/2.49  # Proof object clause conjectures      : 2
% 8.07/2.49  # Proof object formula conjectures     : 1
% 8.07/2.49  # Proof object initial clauses used    : 5
% 8.07/2.49  # Proof object initial formulas used   : 5
% 8.07/2.49  # Proof object generating inferences   : 4
% 8.07/2.49  # Proof object simplifying inferences  : 7
% 8.07/2.49  # Training examples: 0 positive, 0 negative
% 8.07/2.49  # Parsed axioms                        : 13
% 8.07/2.49  # Removed by relevancy pruning/SinE    : 0
% 8.07/2.49  # Initial clauses                      : 13
% 8.07/2.49  # Removed in clause preprocessing      : 0
% 8.07/2.49  # Initial clauses in saturation        : 13
% 8.07/2.49  # Processed clauses                    : 277
% 8.07/2.49  # ...of these trivial                  : 64
% 8.07/2.49  # ...subsumed                          : 82
% 8.07/2.49  # ...remaining for further processing  : 131
% 8.07/2.49  # Other redundant clauses eliminated   : 0
% 8.07/2.49  # Clauses deleted for lack of memory   : 0
% 8.07/2.49  # Backward-subsumed                    : 0
% 8.07/2.49  # Backward-rewritten                   : 61
% 8.07/2.49  # Generated clauses                    : 3306
% 8.07/2.49  # ...of the previous two non-trivial   : 2625
% 8.07/2.49  # Contextual simplify-reflections      : 0
% 8.07/2.49  # Paramodulations                      : 3306
% 8.07/2.49  # Factorizations                       : 0
% 8.07/2.49  # Equation resolutions                 : 0
% 8.07/2.49  # Propositional unsat checks           : 0
% 8.07/2.49  # Propositional unsat check successes  : 0
% 8.07/2.49  # Current number of processed clauses  : 70
% 8.07/2.49  #    Positive orientable unit clauses  : 65
% 8.07/2.49  #    Positive unorientable unit clauses: 5
% 8.07/2.49  #    Negative unit clauses             : 0
% 8.07/2.49  #    Non-unit-clauses                  : 0
% 8.07/2.49  # Current number of unprocessed clauses: 1428
% 8.07/2.49  # ...number of literals in the above   : 1428
% 8.07/2.49  # Current number of archived formulas  : 0
% 8.07/2.49  # Current number of archived clauses   : 61
% 8.07/2.49  # Clause-clause subsumption calls (NU) : 0
% 8.07/2.49  # Rec. Clause-clause subsumption calls : 0
% 8.07/2.49  # Non-unit clause-clause subsumptions  : 0
% 8.07/2.49  # Unit Clause-clause subsumption calls : 10
% 8.07/2.49  # Rewrite failures with RHS unbound    : 0
% 8.07/2.49  # BW rewrite match attempts            : 435
% 8.07/2.49  # BW rewrite match successes           : 103
% 8.07/2.49  # Condensation attempts                : 0
% 8.07/2.49  # Condensation successes               : 0
% 8.07/2.49  # Termbank termtop insertions          : 39433
% 8.07/2.49  
% 8.07/2.49  # -------------------------------------------------
% 8.07/2.49  # User time                : 0.056 s
% 8.07/2.49  # System time              : 0.007 s
% 8.07/2.49  # Total time               : 0.063 s
% 8.07/2.49  # ...preprocessing         : 0.024 s
% 8.07/2.49  # ...main loop             : 0.039 s
% 8.07/2.49  # Maximum resident set size: 7140 pages
% 8.07/2.49  
%------------------------------------------------------------------------------