TSTP Solution File: REL003+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : REL003+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 19:12:48 EDT 2022

% Result   : Theorem 7.57s 2.42s
% Output   : CNFRefutation 7.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (   8 unt;   3 nHn;   8 RR)
%            Number of literals    :   20 (  19 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_13,negated_conjecture,
    ( join(esk1_0,esk2_0) = esk2_0
    | join(converse(esk1_0),converse(esk2_0)) = converse(esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wqnv75e7/input.p',i_0_13) ).

cnf(i_0_14,plain,
    join(X1,X2) = join(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wqnv75e7/input.p',i_0_14) ).

cnf(i_0_4,plain,
    join(converse(X1),converse(X2)) = converse(join(X1,X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wqnv75e7/input.p',i_0_4) ).

cnf(i_0_10,negated_conjecture,
    ( join(esk1_0,esk2_0) != esk2_0
    | join(converse(esk1_0),converse(esk2_0)) != converse(esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wqnv75e7/input.p',i_0_10) ).

cnf(i_0_6,plain,
    converse(converse(X1)) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wqnv75e7/input.p',i_0_6) ).

cnf(c_0_20,negated_conjecture,
    ( join(esk1_0,esk2_0) = esk2_0
    | join(converse(esk1_0),converse(esk2_0)) = converse(esk2_0) ),
    i_0_13 ).

cnf(c_0_21,plain,
    join(X1,X2) = join(X2,X1),
    i_0_14 ).

cnf(c_0_22,plain,
    join(converse(X1),converse(X2)) = converse(join(X1,X2)),
    i_0_4 ).

cnf(c_0_23,negated_conjecture,
    ( join(esk1_0,esk2_0) != esk2_0
    | join(converse(esk1_0),converse(esk2_0)) != converse(esk2_0) ),
    i_0_10 ).

cnf(c_0_24,plain,
    converse(converse(X1)) = X1,
    i_0_6 ).

cnf(c_0_25,negated_conjecture,
    ( converse(join(esk2_0,esk1_0)) = converse(esk2_0)
    | join(esk2_0,esk1_0) = esk2_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_21]),c_0_22]) ).

cnf(c_0_26,negated_conjecture,
    ( converse(join(esk2_0,esk1_0)) != converse(esk2_0)
    | join(esk2_0,esk1_0) != esk2_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_21]),c_0_21]),c_0_22]) ).

cnf(c_0_27,plain,
    join(esk2_0,esk1_0) = esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_24])]) ).

cnf(c_0_28,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27]),c_0_27])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : REL003+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jul  8 13:39:57 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.57/2.42  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 7.57/2.42  # Version: 2.1pre011
% 7.57/2.42  # Preprocessing time       : 0.013 s
% 7.57/2.42  
% 7.57/2.42  # Proof found!
% 7.57/2.42  # SZS status Theorem
% 7.57/2.42  # SZS output start CNFRefutation
% See solution above
% 7.57/2.42  # Proof object total steps             : 14
% 7.57/2.42  # Proof object clause steps            : 9
% 7.57/2.42  # Proof object formula steps           : 5
% 7.57/2.42  # Proof object conjectures             : 7
% 7.57/2.42  # Proof object clause conjectures      : 5
% 7.57/2.42  # Proof object formula conjectures     : 2
% 7.57/2.42  # Proof object initial clauses used    : 5
% 7.57/2.42  # Proof object initial formulas used   : 5
% 7.57/2.42  # Proof object generating inferences   : 1
% 7.57/2.42  # Proof object simplifying inferences  : 11
% 7.57/2.42  # Training examples: 0 positive, 0 negative
% 7.57/2.42  # Parsed axioms                        : 14
% 7.57/2.42  # Removed by relevancy pruning/SinE    : 0
% 7.57/2.42  # Initial clauses                      : 14
% 7.57/2.42  # Removed in clause preprocessing      : 0
% 7.57/2.42  # Initial clauses in saturation        : 14
% 7.57/2.42  # Processed clauses                    : 21
% 7.57/2.42  # ...of these trivial                  : 0
% 7.57/2.42  # ...subsumed                          : 0
% 7.57/2.42  # ...remaining for further processing  : 21
% 7.57/2.42  # Other redundant clauses eliminated   : 0
% 7.57/2.42  # Clauses deleted for lack of memory   : 0
% 7.57/2.42  # Backward-subsumed                    : 0
% 7.57/2.42  # Backward-rewritten                   : 4
% 7.57/2.42  # Generated clauses                    : 67
% 7.57/2.42  # ...of the previous two non-trivial   : 56
% 7.57/2.42  # Contextual simplify-reflections      : 0
% 7.57/2.42  # Paramodulations                      : 67
% 7.57/2.42  # Factorizations                       : 0
% 7.57/2.42  # Equation resolutions                 : 0
% 7.57/2.42  # Propositional unsat checks           : 0
% 7.57/2.42  # Propositional unsat check successes  : 0
% 7.57/2.42  # Current number of processed clauses  : 17
% 7.57/2.42  #    Positive orientable unit clauses  : 16
% 7.57/2.42  #    Positive unorientable unit clauses: 1
% 7.57/2.42  #    Negative unit clauses             : 0
% 7.57/2.42  #    Non-unit-clauses                  : 0
% 7.57/2.42  # Current number of unprocessed clauses: 44
% 7.57/2.42  # ...number of literals in the above   : 44
% 7.57/2.42  # Current number of archived formulas  : 0
% 7.57/2.42  # Current number of archived clauses   : 4
% 7.57/2.42  # Clause-clause subsumption calls (NU) : 0
% 7.57/2.42  # Rec. Clause-clause subsumption calls : 0
% 7.57/2.42  # Non-unit clause-clause subsumptions  : 0
% 7.57/2.42  # Unit Clause-clause subsumption calls : 1
% 7.57/2.42  # Rewrite failures with RHS unbound    : 0
% 7.57/2.42  # BW rewrite match attempts            : 7
% 7.57/2.42  # BW rewrite match successes           : 7
% 7.57/2.42  # Condensation attempts                : 0
% 7.57/2.42  # Condensation successes               : 0
% 7.57/2.42  # Termbank termtop insertions          : 916
% 7.57/2.42  
% 7.57/2.42  # -------------------------------------------------
% 7.57/2.42  # User time                : 0.010 s
% 7.57/2.42  # System time              : 0.004 s
% 7.57/2.42  # Total time               : 0.015 s
% 7.57/2.42  # ...preprocessing         : 0.013 s
% 7.57/2.42  # ...main loop             : 0.002 s
% 7.57/2.42  # Maximum resident set size: 7136 pages
% 7.57/2.42  
%------------------------------------------------------------------------------