TSTP Solution File: LCL452+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LCL452+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Sun Jul 17 09:26:09 EDT 2022

% Result   : Theorem 7.50s 2.19s
% Output   : CNFRefutation 7.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   21 (  13 unt;   0 nHn;  12 RR)
%            Number of literals    :   29 (   6 equ;  11 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   18 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_59,plain,
    ( not(and(X1,not(X2))) = implies(X1,X2)
    | ~ op_implies_and ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mj_bz6hj/input.p',i_0_59) ).

cnf(i_0_31,plain,
    op_implies_and,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mj_bz6hj/input.p',i_0_31) ).

cnf(i_0_9,plain,
    ( cn2
    | ~ is_a_theorem(implies(esk10_0,implies(not(esk10_0),esk11_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mj_bz6hj/input.p',i_0_9) ).

cnf(i_0_48,negated_conjecture,
    ~ cn2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mj_bz6hj/input.p',i_0_48) ).

cnf(i_0_61,plain,
    ( not(and(not(X1),not(X2))) = or(X1,X2)
    | ~ op_or ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mj_bz6hj/input.p',i_0_61) ).

cnf(i_0_32,plain,
    op_or,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mj_bz6hj/input.p',i_0_32) ).

cnf(i_0_63,plain,
    ( is_a_theorem(implies(X1,or(X1,X2)))
    | ~ or_1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mj_bz6hj/input.p',i_0_63) ).

cnf(i_0_33,plain,
    or_1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mj_bz6hj/input.p',i_0_33) ).

cnf(c_0_72,plain,
    ( not(and(X1,not(X2))) = implies(X1,X2)
    | ~ op_implies_and ),
    i_0_59 ).

cnf(c_0_73,plain,
    op_implies_and,
    i_0_31 ).

cnf(c_0_74,plain,
    ( cn2
    | ~ is_a_theorem(implies(esk10_0,implies(not(esk10_0),esk11_0))) ),
    i_0_9 ).

cnf(c_0_75,negated_conjecture,
    ~ cn2,
    i_0_48 ).

cnf(c_0_76,plain,
    ( not(and(not(X1),not(X2))) = or(X1,X2)
    | ~ op_or ),
    i_0_61 ).

cnf(c_0_77,plain,
    not(and(X1,not(X2))) = implies(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73])]) ).

cnf(c_0_78,plain,
    op_or,
    i_0_32 ).

cnf(c_0_79,plain,
    ( is_a_theorem(implies(X1,or(X1,X2)))
    | ~ or_1 ),
    i_0_63 ).

cnf(c_0_80,plain,
    or_1,
    i_0_33 ).

cnf(c_0_81,plain,
    ~ is_a_theorem(implies(esk10_0,implies(not(esk10_0),esk11_0))),
    inference(sr,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_82,plain,
    implies(not(X1),X2) = or(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77]),c_0_78])]) ).

cnf(c_0_83,plain,
    is_a_theorem(implies(X1,or(X1,X2))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80])]) ).

cnf(c_0_84,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82]),c_0_83])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LCL452+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n025.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % 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 : Mon Jul  4 23:45:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.44  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.50/2.19  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.50/2.19  # Version: 2.1pre011
% 7.50/2.19  # Preprocessing time       : 0.013 s
% 7.50/2.19  
% 7.50/2.19  # Proof found!
% 7.50/2.19  # SZS status Theorem
% 7.50/2.19  # SZS output start CNFRefutation
% See solution above
% 7.50/2.19  # Proof object total steps             : 21
% 7.50/2.19  # Proof object clause steps            : 13
% 7.50/2.19  # Proof object formula steps           : 8
% 7.50/2.19  # Proof object conjectures             : 2
% 7.50/2.19  # Proof object clause conjectures      : 1
% 7.50/2.19  # Proof object formula conjectures     : 1
% 7.50/2.19  # Proof object initial clauses used    : 8
% 7.50/2.19  # Proof object initial formulas used   : 8
% 7.50/2.19  # Proof object generating inferences   : 0
% 7.50/2.19  # Proof object simplifying inferences  : 11
% 7.50/2.19  # Training examples: 0 positive, 0 negative
% 7.50/2.19  # Parsed axioms                        : 81
% 7.50/2.19  # Removed by relevancy pruning/SinE    : 0
% 7.50/2.19  # Initial clauses                      : 81
% 7.50/2.19  # Removed in clause preprocessing      : 0
% 7.50/2.19  # Initial clauses in saturation        : 81
% 7.50/2.19  # Processed clauses                    : 47
% 7.50/2.19  # ...of these trivial                  : 12
% 7.50/2.19  # ...subsumed                          : 0
% 7.50/2.19  # ...remaining for further processing  : 35
% 7.50/2.19  # Other redundant clauses eliminated   : 0
% 7.50/2.19  # Clauses deleted for lack of memory   : 0
% 7.50/2.19  # Backward-subsumed                    : 0
% 7.50/2.19  # Backward-rewritten                   : 4
% 7.50/2.19  # Generated clauses                    : 21
% 7.50/2.19  # ...of the previous two non-trivial   : 14
% 7.50/2.19  # Contextual simplify-reflections      : 0
% 7.50/2.19  # Paramodulations                      : 21
% 7.50/2.19  # Factorizations                       : 0
% 7.50/2.19  # Equation resolutions                 : 0
% 7.50/2.19  # Propositional unsat checks           : 0
% 7.50/2.19  # Propositional unsat check successes  : 0
% 7.50/2.19  # Current number of processed clauses  : 31
% 7.50/2.19  #    Positive orientable unit clauses  : 24
% 7.50/2.19  #    Positive unorientable unit clauses: 0
% 7.50/2.19  #    Negative unit clauses             : 1
% 7.50/2.19  #    Non-unit-clauses                  : 6
% 7.50/2.19  # Current number of unprocessed clauses: 48
% 7.50/2.19  # ...number of literals in the above   : 97
% 7.50/2.19  # Current number of archived formulas  : 0
% 7.50/2.19  # Current number of archived clauses   : 4
% 7.50/2.19  # Clause-clause subsumption calls (NU) : 0
% 7.50/2.19  # Rec. Clause-clause subsumption calls : 0
% 7.50/2.19  # Non-unit clause-clause subsumptions  : 0
% 7.50/2.19  # Unit Clause-clause subsumption calls : 14
% 7.50/2.19  # Rewrite failures with RHS unbound    : 0
% 7.50/2.19  # BW rewrite match attempts            : 5
% 7.50/2.19  # BW rewrite match successes           : 3
% 7.50/2.19  # Condensation attempts                : 0
% 7.50/2.19  # Condensation successes               : 0
% 7.50/2.19  # Termbank termtop insertions          : 1513
% 7.50/2.19  
% 7.50/2.19  # -------------------------------------------------
% 7.50/2.19  # User time                : 0.009 s
% 7.50/2.19  # System time              : 0.005 s
% 7.50/2.19  # Total time               : 0.014 s
% 7.50/2.19  # ...preprocessing         : 0.013 s
% 7.50/2.19  # ...main loop             : 0.001 s
% 7.50/2.19  # Maximum resident set size: 7132 pages
% 7.50/2.19  
%------------------------------------------------------------------------------