TSTP Solution File: LCL512+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LCL512+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 : Sun Jul 17 09:26:31 EDT 2022

% Result   : Theorem 8.22s 2.54s
% Output   : CNFRefutation 8.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (  11 unt;   0 nHn;  10 RR)
%            Number of literals    :   23 (   3 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_32,plain,
    ( is_a_theorem(implies(and(X1,X2),X1))
    | ~ kn2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r2cdng9u/input.p',i_0_32) ).

cnf(i_0_63,plain,
    kn2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r2cdng9u/input.p',i_0_63) ).

cnf(i_0_42,plain,
    ( and(implies(X1,X2),implies(X2,X1)) = equiv(X1,X2)
    | ~ op_equiv ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r2cdng9u/input.p',i_0_42) ).

cnf(i_0_20,plain,
    op_equiv,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r2cdng9u/input.p',i_0_20) ).

cnf(i_0_13,plain,
    ( equivalence_1
    | ~ is_a_theorem(implies(equiv(esk13_0,esk14_0),implies(esk13_0,esk14_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r2cdng9u/input.p',i_0_13) ).

cnf(i_0_19,negated_conjecture,
    ~ equivalence_1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r2cdng9u/input.p',i_0_19) ).

cnf(c_0_70,plain,
    ( is_a_theorem(implies(and(X1,X2),X1))
    | ~ kn2 ),
    i_0_32 ).

cnf(c_0_71,plain,
    kn2,
    i_0_63 ).

cnf(c_0_72,plain,
    ( and(implies(X1,X2),implies(X2,X1)) = equiv(X1,X2)
    | ~ op_equiv ),
    i_0_42 ).

cnf(c_0_73,plain,
    op_equiv,
    i_0_20 ).

cnf(c_0_74,plain,
    ( equivalence_1
    | ~ is_a_theorem(implies(equiv(esk13_0,esk14_0),implies(esk13_0,esk14_0))) ),
    i_0_13 ).

cnf(c_0_75,negated_conjecture,
    ~ equivalence_1,
    i_0_19 ).

cnf(c_0_76,plain,
    is_a_theorem(implies(and(X1,X2),X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71])]) ).

cnf(c_0_77,plain,
    and(implies(X1,X2),implies(X2,X1)) = equiv(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73])]) ).

cnf(c_0_78,plain,
    ~ is_a_theorem(implies(equiv(esk13_0,esk14_0),implies(esk13_0,esk14_0))),
    inference(sr,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_79,plain,
    is_a_theorem(implies(equiv(X1,X2),implies(X1,X2))),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_80,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL512+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n026.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 : Mon Jul  4 09:36:53 EDT 2022
% 0.12/0.34  % 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
% 8.22/2.54  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 8.22/2.54  # Version: 2.1pre011
% 8.22/2.54  # Preprocessing time       : 0.020 s
% 8.22/2.54  
% 8.22/2.54  # Proof found!
% 8.22/2.54  # SZS status Theorem
% 8.22/2.54  # SZS output start CNFRefutation
% See solution above
% 8.22/2.54  # Proof object total steps             : 17
% 8.22/2.54  # Proof object clause steps            : 11
% 8.22/2.54  # Proof object formula steps           : 6
% 8.22/2.54  # Proof object conjectures             : 2
% 8.22/2.54  # Proof object clause conjectures      : 1
% 8.22/2.54  # Proof object formula conjectures     : 1
% 8.22/2.54  # Proof object initial clauses used    : 6
% 8.22/2.54  # Proof object initial formulas used   : 6
% 8.22/2.54  # Proof object generating inferences   : 1
% 8.22/2.54  # Proof object simplifying inferences  : 7
% 8.22/2.54  # Training examples: 0 positive, 0 negative
% 8.22/2.54  # Parsed axioms                        : 72
% 8.22/2.54  # Removed by relevancy pruning/SinE    : 0
% 8.22/2.54  # Initial clauses                      : 72
% 8.22/2.54  # Removed in clause preprocessing      : 0
% 8.22/2.54  # Initial clauses in saturation        : 72
% 8.22/2.54  # Processed clauses                    : 197
% 8.22/2.54  # ...of these trivial                  : 11
% 8.22/2.54  # ...subsumed                          : 31
% 8.22/2.54  # ...remaining for further processing  : 155
% 8.22/2.54  # Other redundant clauses eliminated   : 0
% 8.22/2.54  # Clauses deleted for lack of memory   : 0
% 8.22/2.54  # Backward-subsumed                    : 0
% 8.22/2.54  # Backward-rewritten                   : 4
% 8.22/2.54  # Generated clauses                    : 713
% 8.22/2.54  # ...of the previous two non-trivial   : 653
% 8.22/2.54  # Contextual simplify-reflections      : 35
% 8.22/2.54  # Paramodulations                      : 713
% 8.22/2.54  # Factorizations                       : 0
% 8.22/2.54  # Equation resolutions                 : 0
% 8.22/2.54  # Propositional unsat checks           : 0
% 8.22/2.54  # Propositional unsat check successes  : 0
% 8.22/2.54  # Current number of processed clauses  : 151
% 8.22/2.54  #    Positive orientable unit clauses  : 22
% 8.22/2.54  #    Positive unorientable unit clauses: 0
% 8.22/2.54  #    Negative unit clauses             : 1
% 8.22/2.54  #    Non-unit-clauses                  : 128
% 8.22/2.54  # Current number of unprocessed clauses: 528
% 8.22/2.54  # ...number of literals in the above   : 1510
% 8.22/2.54  # Current number of archived formulas  : 0
% 8.22/2.54  # Current number of archived clauses   : 4
% 8.22/2.54  # Clause-clause subsumption calls (NU) : 3393
% 8.22/2.54  # Rec. Clause-clause subsumption calls : 2829
% 8.22/2.54  # Non-unit clause-clause subsumptions  : 65
% 8.22/2.54  # Unit Clause-clause subsumption calls : 82
% 8.22/2.54  # Rewrite failures with RHS unbound    : 0
% 8.22/2.54  # BW rewrite match attempts            : 7
% 8.22/2.54  # BW rewrite match successes           : 3
% 8.22/2.54  # Condensation attempts                : 0
% 8.22/2.54  # Condensation successes               : 0
% 8.22/2.54  # Termbank termtop insertions          : 8963
% 8.22/2.54  
% 8.22/2.54  # -------------------------------------------------
% 8.22/2.54  # User time                : 0.029 s
% 8.22/2.54  # System time              : 0.005 s
% 8.22/2.54  # Total time               : 0.035 s
% 8.22/2.54  # ...preprocessing         : 0.020 s
% 8.22/2.54  # ...main loop             : 0.015 s
% 8.22/2.54  # Maximum resident set size: 7128 pages
% 8.22/2.54  
%------------------------------------------------------------------------------