TSTP Solution File: LCL483+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LCL483+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Sun Jul 17 09:26:20 EDT 2022

% Result   : Theorem 7.25s 2.23s
% Output   : CNFRefutation 7.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   28 (  18 unt;   0 nHn;  15 RR)
%            Number of literals    :   38 (   9 equ;  14 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   6 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_43,plain,
    ( not(and(X1,not(X2))) = implies(X1,X2)
    | ~ op_implies_and ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n500y_ij/input.p',i_0_43) ).

cnf(i_0_21,plain,
    op_implies_and,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n500y_ij/input.p',i_0_21) ).

cnf(i_0_39,plain,
    ( modus_tollens
    | ~ is_a_theorem(implies(implies(not(esk35_0),not(esk34_0)),implies(esk34_0,esk35_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n500y_ij/input.p',i_0_39) ).

cnf(i_0_19,negated_conjecture,
    ~ modus_tollens,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n500y_ij/input.p',i_0_19) ).

cnf(i_0_45,plain,
    ( not(and(not(X1),not(X2))) = or(X1,X2)
    | ~ op_or ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n500y_ij/input.p',i_0_45) ).

cnf(i_0_22,plain,
    op_or,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n500y_ij/input.p',i_0_22) ).

cnf(i_0_66,plain,
    ( is_a_theorem(implies(or(X1,X2),or(X2,X1)))
    | ~ r3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n500y_ij/input.p',i_0_66) ).

cnf(i_0_58,plain,
    r3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n500y_ij/input.p',i_0_58) ).

cnf(i_0_44,plain,
    ( or(not(X1),X2) = implies(X1,X2)
    | ~ op_implies_or ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n500y_ij/input.p',i_0_44) ).

cnf(i_0_55,plain,
    op_implies_or,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n500y_ij/input.p',i_0_55) ).

cnf(c_0_77,plain,
    ( not(and(X1,not(X2))) = implies(X1,X2)
    | ~ op_implies_and ),
    i_0_43 ).

cnf(c_0_78,plain,
    op_implies_and,
    i_0_21 ).

cnf(c_0_79,plain,
    ( modus_tollens
    | ~ is_a_theorem(implies(implies(not(esk35_0),not(esk34_0)),implies(esk34_0,esk35_0))) ),
    i_0_39 ).

cnf(c_0_80,negated_conjecture,
    ~ modus_tollens,
    i_0_19 ).

cnf(c_0_81,plain,
    ( not(and(not(X1),not(X2))) = or(X1,X2)
    | ~ op_or ),
    i_0_45 ).

cnf(c_0_82,plain,
    not(and(X1,not(X2))) = implies(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]) ).

cnf(c_0_83,plain,
    op_or,
    i_0_22 ).

cnf(c_0_84,plain,
    ( is_a_theorem(implies(or(X1,X2),or(X2,X1)))
    | ~ r3 ),
    i_0_66 ).

cnf(c_0_85,plain,
    r3,
    i_0_58 ).

cnf(c_0_86,plain,
    ( or(not(X1),X2) = implies(X1,X2)
    | ~ op_implies_or ),
    i_0_44 ).

cnf(c_0_87,plain,
    op_implies_or,
    i_0_55 ).

cnf(c_0_88,plain,
    ~ is_a_theorem(implies(implies(not(esk35_0),not(esk34_0)),implies(esk34_0,esk35_0))),
    inference(sr,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_89,plain,
    implies(not(X1),X2) = or(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82]),c_0_83])]) ).

cnf(c_0_90,plain,
    is_a_theorem(implies(or(X1,X2),or(X2,X1))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]) ).

cnf(c_0_91,plain,
    or(not(X1),X2) = implies(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_87])]) ).

cnf(c_0_92,plain,
    ~ is_a_theorem(implies(or(esk35_0,not(esk34_0)),implies(esk34_0,esk35_0))),
    inference(rw,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_93,plain,
    is_a_theorem(implies(or(X1,not(X2)),implies(X2,X1))),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_94,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL483+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n012.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
% 0.12/0.33  % DateTime : Sun Jul  3 00:57:48 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/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
% 7.25/2.23  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 7.25/2.23  # Version: 2.1pre011
% 7.25/2.23  # Preprocessing time       : 0.010 s
% 7.25/2.23  
% 7.25/2.23  # Proof found!
% 7.25/2.23  # SZS status Theorem
% 7.25/2.23  # SZS output start CNFRefutation
% See solution above
% 7.25/2.23  # Proof object total steps             : 28
% 7.25/2.23  # Proof object clause steps            : 18
% 7.25/2.23  # Proof object formula steps           : 10
% 7.25/2.23  # Proof object conjectures             : 2
% 7.25/2.23  # Proof object clause conjectures      : 1
% 7.25/2.23  # Proof object formula conjectures     : 1
% 7.25/2.23  # Proof object initial clauses used    : 10
% 7.25/2.23  # Proof object initial formulas used   : 10
% 7.25/2.23  # Proof object generating inferences   : 1
% 7.25/2.23  # Proof object simplifying inferences  : 13
% 7.25/2.23  # Training examples: 0 positive, 0 negative
% 7.25/2.23  # Parsed axioms                        : 74
% 7.25/2.23  # Removed by relevancy pruning/SinE    : 0
% 7.25/2.23  # Initial clauses                      : 74
% 7.25/2.23  # Removed in clause preprocessing      : 0
% 7.25/2.23  # Initial clauses in saturation        : 74
% 7.25/2.23  # Processed clauses                    : 215
% 7.25/2.23  # ...of these trivial                  : 13
% 7.25/2.23  # ...subsumed                          : 27
% 7.25/2.23  # ...remaining for further processing  : 175
% 7.25/2.23  # Other redundant clauses eliminated   : 0
% 7.25/2.23  # Clauses deleted for lack of memory   : 0
% 7.25/2.23  # Backward-subsumed                    : 4
% 7.25/2.23  # Backward-rewritten                   : 12
% 7.25/2.23  # Generated clauses                    : 757
% 7.25/2.23  # ...of the previous two non-trivial   : 672
% 7.25/2.23  # Contextual simplify-reflections      : 2
% 7.25/2.23  # Paramodulations                      : 757
% 7.25/2.23  # Factorizations                       : 0
% 7.25/2.23  # Equation resolutions                 : 0
% 7.25/2.23  # Propositional unsat checks           : 0
% 7.25/2.23  # Propositional unsat check successes  : 0
% 7.25/2.23  # Current number of processed clauses  : 159
% 7.25/2.23  #    Positive orientable unit clauses  : 42
% 7.25/2.23  #    Positive unorientable unit clauses: 0
% 7.25/2.23  #    Negative unit clauses             : 3
% 7.25/2.23  #    Non-unit-clauses                  : 114
% 7.25/2.23  # Current number of unprocessed clauses: 494
% 7.25/2.23  # ...number of literals in the above   : 955
% 7.25/2.23  # Current number of archived formulas  : 0
% 7.25/2.23  # Current number of archived clauses   : 16
% 7.25/2.23  # Clause-clause subsumption calls (NU) : 2151
% 7.25/2.23  # Rec. Clause-clause subsumption calls : 2063
% 7.25/2.23  # Non-unit clause-clause subsumptions  : 30
% 7.25/2.23  # Unit Clause-clause subsumption calls : 136
% 7.25/2.23  # Rewrite failures with RHS unbound    : 0
% 7.25/2.23  # BW rewrite match attempts            : 52
% 7.25/2.23  # BW rewrite match successes           : 11
% 7.25/2.23  # Condensation attempts                : 0
% 7.25/2.23  # Condensation successes               : 0
% 7.25/2.23  # Termbank termtop insertions          : 9747
% 7.25/2.23  
% 7.25/2.23  # -------------------------------------------------
% 7.25/2.23  # User time                : 0.019 s
% 7.25/2.23  # System time              : 0.002 s
% 7.25/2.23  # Total time               : 0.021 s
% 7.25/2.23  # ...preprocessing         : 0.010 s
% 7.25/2.23  # ...main loop             : 0.011 s
% 7.25/2.23  # Maximum resident set size: 7128 pages
% 7.25/2.23  
%------------------------------------------------------------------------------