TSTP Solution File: SWC252+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC252+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n016.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 : Tue Jul 19 20:14:33 EDT 2022

% Result   : Theorem 7.88s 2.33s
% Output   : CNFRefutation 7.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   30 (  12 unt;   4 nHn;  30 RR)
%            Number of literals    :   63 (  23 equ;  37 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_79,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nt5i4pdy/input.p',i_0_79) ).

cnf(i_0_200,negated_conjecture,
    ( memberP(X1,esk52_3(X2,X1,X3))
    | app(app(X1,cons(X2,nil)),X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nt5i4pdy/input.p',i_0_200) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nt5i4pdy/input.p',i_0_44) ).

cnf(i_0_201,negated_conjecture,
    ( ssItem(esk52_3(X1,X2,X3))
    | app(app(X2,cons(X1,nil)),X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nt5i4pdy/input.p',i_0_201) ).

cnf(i_0_193,negated_conjecture,
    ( esk50_0 = nil
    | cons(esk53_0,nil) = esk50_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nt5i4pdy/input.p',i_0_193) ).

cnf(i_0_203,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nt5i4pdy/input.p',i_0_203) ).

cnf(i_0_202,negated_conjecture,
    nil != esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nt5i4pdy/input.p',i_0_202) ).

cnf(i_0_195,negated_conjecture,
    ( esk50_0 = nil
    | ssItem(esk53_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nt5i4pdy/input.p',i_0_195) ).

cnf(i_0_159,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nt5i4pdy/input.p',i_0_159) ).

cnf(i_0_206,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nt5i4pdy/input.p',i_0_206) ).

cnf(i_0_60,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nt5i4pdy/input.p',i_0_60) ).

cnf(c_0_218,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    i_0_79 ).

cnf(c_0_219,negated_conjecture,
    ( memberP(X1,esk52_3(X2,X1,X3))
    | app(app(X1,cons(X2,nil)),X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    i_0_200 ).

cnf(c_0_220,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_221,plain,
    ( app(app(nil,cons(X1,nil)),X2) != esk48_0
    | ~ ssItem(esk52_3(X1,nil,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220])]) ).

cnf(c_0_222,negated_conjecture,
    ( ssItem(esk52_3(X1,X2,X3))
    | app(app(X2,cons(X1,nil)),X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_201 ).

cnf(c_0_223,negated_conjecture,
    ( esk50_0 = nil
    | cons(esk53_0,nil) = esk50_0 ),
    i_0_193 ).

cnf(c_0_224,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_203 ).

cnf(c_0_225,negated_conjecture,
    nil != esk48_0,
    i_0_202 ).

cnf(c_0_226,negated_conjecture,
    ( esk50_0 = nil
    | ssItem(esk53_0) ),
    i_0_195 ).

cnf(c_0_227,negated_conjecture,
    ( app(app(nil,cons(X1,nil)),X2) != esk48_0
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_220])]) ).

cnf(c_0_228,negated_conjecture,
    cons(esk53_0,nil) = esk48_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_224]),c_0_224]),c_0_225]) ).

cnf(c_0_229,negated_conjecture,
    ssItem(esk53_0),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_224]),c_0_225]) ).

cnf(c_0_230,negated_conjecture,
    ( app(app(nil,esk48_0),X1) != esk48_0
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_229])]) ).

cnf(c_0_231,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    i_0_159 ).

cnf(c_0_232,negated_conjecture,
    ssList(esk50_0),
    i_0_206 ).

cnf(c_0_233,plain,
    ( app(nil,esk48_0) != esk48_0
    | ~ ssList(app(nil,esk48_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_220])]) ).

cnf(c_0_234,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    i_0_60 ).

cnf(c_0_235,negated_conjecture,
    ssList(esk48_0),
    inference(rw,[status(thm)],[c_0_232,c_0_224]) ).

cnf(c_0_236,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWC252+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jun 12 00:50:14 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # 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
% 7.88/2.33  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 7.88/2.33  # Version: 2.1pre011
% 7.88/2.33  # Preprocessing time       : 0.012 s
% 7.88/2.33  
% 7.88/2.33  # Proof found!
% 7.88/2.33  # SZS status Theorem
% 7.88/2.33  # SZS output start CNFRefutation
% See solution above
% 7.88/2.33  # Proof object total steps             : 30
% 7.88/2.33  # Proof object clause steps            : 19
% 7.88/2.33  # Proof object formula steps           : 11
% 7.88/2.33  # Proof object conjectures             : 19
% 7.88/2.33  # Proof object clause conjectures      : 12
% 7.88/2.33  # Proof object formula conjectures     : 7
% 7.88/2.33  # Proof object initial clauses used    : 11
% 7.88/2.33  # Proof object initial formulas used   : 11
% 7.88/2.33  # Proof object generating inferences   : 5
% 7.88/2.33  # Proof object simplifying inferences  : 16
% 7.88/2.33  # Training examples: 0 positive, 0 negative
% 7.88/2.33  # Parsed axioms                        : 206
% 7.88/2.33  # Removed by relevancy pruning/SinE    : 0
% 7.88/2.33  # Initial clauses                      : 206
% 7.88/2.33  # Removed in clause preprocessing      : 0
% 7.88/2.33  # Initial clauses in saturation        : 206
% 7.88/2.33  # Processed clauses                    : 282
% 7.88/2.33  # ...of these trivial                  : 12
% 7.88/2.33  # ...subsumed                          : 20
% 7.88/2.33  # ...remaining for further processing  : 250
% 7.88/2.33  # Other redundant clauses eliminated   : 25
% 7.88/2.33  # Clauses deleted for lack of memory   : 0
% 7.88/2.33  # Backward-subsumed                    : 1
% 7.88/2.33  # Backward-rewritten                   : 3
% 7.88/2.33  # Generated clauses                    : 1708
% 7.88/2.33  # ...of the previous two non-trivial   : 1550
% 7.88/2.33  # Contextual simplify-reflections      : 11
% 7.88/2.33  # Paramodulations                      : 1637
% 7.88/2.33  # Factorizations                       : 30
% 7.88/2.33  # Equation resolutions                 : 41
% 7.88/2.33  # Propositional unsat checks           : 0
% 7.88/2.33  # Propositional unsat check successes  : 0
% 7.88/2.33  # Current number of processed clauses  : 240
% 7.88/2.33  #    Positive orientable unit clauses  : 31
% 7.88/2.33  #    Positive unorientable unit clauses: 0
% 7.88/2.33  #    Negative unit clauses             : 3
% 7.88/2.33  #    Non-unit-clauses                  : 206
% 7.88/2.33  # Current number of unprocessed clauses: 1413
% 7.88/2.33  # ...number of literals in the above   : 6733
% 7.88/2.33  # Current number of archived formulas  : 0
% 7.88/2.33  # Current number of archived clauses   : 4
% 7.88/2.33  # Clause-clause subsumption calls (NU) : 6721
% 7.88/2.33  # Rec. Clause-clause subsumption calls : 1718
% 7.88/2.33  # Non-unit clause-clause subsumptions  : 26
% 7.88/2.33  # Unit Clause-clause subsumption calls : 419
% 7.88/2.33  # Rewrite failures with RHS unbound    : 0
% 7.88/2.33  # BW rewrite match attempts            : 3
% 7.88/2.33  # BW rewrite match successes           : 3
% 7.88/2.33  # Condensation attempts                : 0
% 7.88/2.33  # Condensation successes               : 0
% 7.88/2.33  # Termbank termtop insertions          : 30456
% 7.88/2.33  
% 7.88/2.33  # -------------------------------------------------
% 7.88/2.33  # User time                : 0.031 s
% 7.88/2.33  # System time              : 0.004 s
% 7.88/2.33  # Total time               : 0.035 s
% 7.88/2.33  # ...preprocessing         : 0.012 s
% 7.88/2.33  # ...main loop             : 0.023 s
% 7.88/2.33  # Maximum resident set size: 7132 pages
% 7.88/2.33  
%------------------------------------------------------------------------------