TSTP Solution File: SWV376+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV376+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 : Wed Jul 20 17:47:01 EDT 2022

% Result   : Theorem 7.32s 2.36s
% Output   : CNFRefutation 7.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   23 (  14 unt;   5 nHn;  21 RR)
%            Number of literals    :   42 (   4 equ;  19 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-3 aty)
%            Number of variables   :   46 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_49,plain,
    ( ok(triple(X1,X2,X3))
    | ~ ok(triple(X4,X5,X6))
    | ~ ok(triple(esk10_0,esk11_0,esk12_0))
    | ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-50htkodz/input.p',i_0_49) ).

cnf(i_0_46,negated_conjecture,
    succ_cpq(triple(esk1_0,esk2_0,esk3_0),triple(esk4_0,esk5_0,esk6_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-50htkodz/input.p',i_0_46) ).

cnf(i_0_45,negated_conjecture,
    ok(triple(esk4_0,esk5_0,esk6_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-50htkodz/input.p',i_0_45) ).

cnf(i_0_47,negated_conjecture,
    ~ ok(triple(esk1_0,esk2_0,esk3_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-50htkodz/input.p',i_0_47) ).

cnf(i_0_31,plain,
    ( X1 = bad
    | ok(triple(X2,X3,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-50htkodz/input.p',i_0_31) ).

cnf(i_0_48,plain,
    ( ok(triple(X1,X2,X3))
    | ok(im_succ_cpq(triple(esk10_0,esk11_0,esk12_0)))
    | ~ ok(triple(X4,X5,X6))
    | ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-50htkodz/input.p',i_0_48) ).

cnf(i_0_30,plain,
    ~ ok(triple(X1,X2,bad)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-50htkodz/input.p',i_0_30) ).

cnf(i_0_51,lemma,
    ( ok(triple(X1,X2,X3))
    | ~ ok(im_succ_cpq(triple(X1,X2,X3))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-50htkodz/input.p',i_0_51) ).

cnf(c_0_60,plain,
    ( ok(triple(X1,X2,X3))
    | ~ ok(triple(X4,X5,X6))
    | ~ ok(triple(esk10_0,esk11_0,esk12_0))
    | ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
    i_0_49 ).

cnf(c_0_61,negated_conjecture,
    succ_cpq(triple(esk1_0,esk2_0,esk3_0),triple(esk4_0,esk5_0,esk6_0)),
    i_0_46 ).

cnf(c_0_62,negated_conjecture,
    ok(triple(esk4_0,esk5_0,esk6_0)),
    i_0_45 ).

cnf(c_0_63,negated_conjecture,
    ~ ok(triple(esk1_0,esk2_0,esk3_0)),
    i_0_47 ).

cnf(c_0_64,negated_conjecture,
    ~ ok(triple(esk10_0,esk11_0,esk12_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]),c_0_63]) ).

cnf(c_0_65,plain,
    ( X1 = bad
    | ok(triple(X2,X3,X1)) ),
    i_0_31 ).

cnf(c_0_66,plain,
    ( ok(triple(X1,X2,X3))
    | ok(im_succ_cpq(triple(esk10_0,esk11_0,esk12_0)))
    | ~ ok(triple(X4,X5,X6))
    | ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
    i_0_48 ).

cnf(c_0_67,plain,
    esk12_0 = bad,
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_68,negated_conjecture,
    esk3_0 = bad,
    inference(spm,[status(thm)],[c_0_63,c_0_65]) ).

cnf(c_0_69,plain,
    ( ok(im_succ_cpq(triple(esk10_0,esk11_0,bad)))
    | ok(triple(X1,X2,X3))
    | ~ ok(triple(X4,X5,X6))
    | ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
    inference(rw,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_70,negated_conjecture,
    succ_cpq(triple(esk1_0,esk2_0,bad),triple(esk4_0,esk5_0,esk6_0)),
    inference(rw,[status(thm)],[c_0_61,c_0_68]) ).

cnf(c_0_71,plain,
    ~ ok(triple(X1,X2,bad)),
    i_0_30 ).

cnf(c_0_72,lemma,
    ( ok(triple(X1,X2,X3))
    | ~ ok(im_succ_cpq(triple(X1,X2,X3))) ),
    i_0_51 ).

cnf(c_0_73,negated_conjecture,
    ok(im_succ_cpq(triple(esk10_0,esk11_0,bad))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_62])]),c_0_71]) ).

cnf(c_0_74,lemma,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_71]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV376+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 20:36:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.43  # ENIGMATIC: Selected SinE mode:
% 0.19/0.44  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.32/2.36  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.32/2.36  # Version: 2.1pre011
% 7.32/2.36  # Preprocessing time       : 0.019 s
% 7.32/2.36  
% 7.32/2.36  # Proof found!
% 7.32/2.36  # SZS status Theorem
% 7.32/2.36  # SZS output start CNFRefutation
% See solution above
% 7.32/2.36  # Proof object total steps             : 23
% 7.32/2.36  # Proof object clause steps            : 15
% 7.32/2.36  # Proof object formula steps           : 8
% 7.32/2.36  # Proof object conjectures             : 10
% 7.32/2.36  # Proof object clause conjectures      : 7
% 7.32/2.36  # Proof object formula conjectures     : 3
% 7.32/2.36  # Proof object initial clauses used    : 8
% 7.32/2.36  # Proof object initial formulas used   : 8
% 7.32/2.36  # Proof object generating inferences   : 5
% 7.32/2.36  # Proof object simplifying inferences  : 9
% 7.32/2.36  # Training examples: 0 positive, 0 negative
% 7.32/2.36  # Parsed axioms                        : 55
% 7.32/2.36  # Removed by relevancy pruning/SinE    : 0
% 7.32/2.36  # Initial clauses                      : 55
% 7.32/2.36  # Removed in clause preprocessing      : 0
% 7.32/2.36  # Initial clauses in saturation        : 55
% 7.32/2.36  # Processed clauses                    : 75
% 7.32/2.36  # ...of these trivial                  : 0
% 7.32/2.36  # ...subsumed                          : 6
% 7.32/2.36  # ...remaining for further processing  : 69
% 7.32/2.36  # Other redundant clauses eliminated   : 3
% 7.32/2.36  # Clauses deleted for lack of memory   : 0
% 7.32/2.36  # Backward-subsumed                    : 0
% 7.32/2.36  # Backward-rewritten                   : 7
% 7.32/2.36  # Generated clauses                    : 158
% 7.32/2.36  # ...of the previous two non-trivial   : 143
% 7.32/2.36  # Contextual simplify-reflections      : 3
% 7.32/2.36  # Paramodulations                      : 154
% 7.32/2.36  # Factorizations                       : 2
% 7.32/2.36  # Equation resolutions                 : 3
% 7.32/2.36  # Propositional unsat checks           : 0
% 7.32/2.36  # Propositional unsat check successes  : 0
% 7.32/2.36  # Current number of processed clauses  : 60
% 7.32/2.36  #    Positive orientable unit clauses  : 19
% 7.32/2.36  #    Positive unorientable unit clauses: 0
% 7.32/2.36  #    Negative unit clauses             : 6
% 7.32/2.36  #    Non-unit-clauses                  : 35
% 7.32/2.36  # Current number of unprocessed clauses: 88
% 7.32/2.36  # ...number of literals in the above   : 290
% 7.32/2.36  # Current number of archived formulas  : 0
% 7.32/2.36  # Current number of archived clauses   : 7
% 7.32/2.36  # Clause-clause subsumption calls (NU) : 274
% 7.32/2.36  # Rec. Clause-clause subsumption calls : 170
% 7.32/2.36  # Non-unit clause-clause subsumptions  : 6
% 7.32/2.36  # Unit Clause-clause subsumption calls : 34
% 7.32/2.36  # Rewrite failures with RHS unbound    : 0
% 7.32/2.36  # BW rewrite match attempts            : 10
% 7.32/2.36  # BW rewrite match successes           : 3
% 7.32/2.36  # Condensation attempts                : 0
% 7.32/2.36  # Condensation successes               : 0
% 7.32/2.36  # Termbank termtop insertions          : 3622
% 7.32/2.36  
% 7.32/2.36  # -------------------------------------------------
% 7.32/2.36  # User time                : 0.021 s
% 7.32/2.36  # System time              : 0.004 s
% 7.32/2.36  # Total time               : 0.025 s
% 7.32/2.36  # ...preprocessing         : 0.019 s
% 7.32/2.36  # ...main loop             : 0.006 s
% 7.32/2.36  # Maximum resident set size: 7132 pages
% 7.32/2.36  
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