TSTP Solution File: SWC244+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC244+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 20:14:30 EDT 2022

% Result   : Theorem 8.78s 2.71s
% Output   : CNFRefutation 8.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   36 (  13 unt;   6 nHn;  36 RR)
%            Number of literals    :   89 (  26 equ;  56 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    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   40 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_79,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f1t60nkq/input.p',i_0_79) ).

cnf(i_0_194,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-f1t60nkq/input.p',i_0_194) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f1t60nkq/input.p',i_0_44) ).

cnf(i_0_195,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-f1t60nkq/input.p',i_0_195) ).

cnf(i_0_60,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f1t60nkq/input.p',i_0_60) ).

cnf(i_0_154,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f1t60nkq/input.p',i_0_154) ).

cnf(i_0_203,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f1t60nkq/input.p',i_0_203) ).

cnf(i_0_200,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f1t60nkq/input.p',i_0_200) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f1t60nkq/input.p',i_0_43) ).

cnf(i_0_147,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f1t60nkq/input.p',i_0_147) ).

cnf(i_0_197,negated_conjecture,
    nil != esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f1t60nkq/input.p',i_0_197) ).

cnf(i_0_54,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f1t60nkq/input.p',i_0_54) ).

cnf(i_0_56,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f1t60nkq/input.p',i_0_56) ).

cnf(c_0_217,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    i_0_79 ).

cnf(c_0_218,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_194 ).

cnf(c_0_219,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_220,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_217,c_0_218]),c_0_219])]) ).

cnf(c_0_221,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_195 ).

cnf(c_0_222,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_220,c_0_221]),c_0_219])]) ).

cnf(c_0_223,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    i_0_60 ).

cnf(c_0_224,plain,
    ( app(cons(X1,nil),X2) != esk48_0
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil))
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_222,c_0_223]) ).

cnf(c_0_225,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_226,negated_conjecture,
    ssList(esk50_0),
    i_0_203 ).

cnf(c_0_227,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_200 ).

cnf(c_0_228,plain,
    ( cons(X1,X2) != esk48_0
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil))
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_224,c_0_225]) ).

cnf(c_0_229,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_230,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    i_0_147 ).

cnf(c_0_231,negated_conjecture,
    ssList(esk48_0),
    inference(rw,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_232,negated_conjecture,
    nil != esk48_0,
    i_0_197 ).

cnf(c_0_233,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    i_0_54 ).

cnf(c_0_234,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    i_0_56 ).

cnf(c_0_235,plain,
    ( cons(X1,X2) != esk48_0
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_219])]) ).

cnf(c_0_236,negated_conjecture,
    cons(hd(esk48_0),tl(esk48_0)) = esk48_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232]) ).

cnf(c_0_237,negated_conjecture,
    ssItem(hd(esk48_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_231]),c_0_232]) ).

cnf(c_0_238,negated_conjecture,
    ssList(tl(esk48_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_231]),c_0_232]) ).

cnf(c_0_239,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]),c_0_238])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWC244+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 12 18:06:39 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.47  # ENIGMATIC: Selected SinE mode:
% 0.22/0.48  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.22/0.48  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.22/0.48  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.78/2.71  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 8.78/2.71  # Version: 2.1pre011
% 8.78/2.71  # Preprocessing time       : 0.016 s
% 8.78/2.71  
% 8.78/2.71  # Proof found!
% 8.78/2.71  # SZS status Theorem
% 8.78/2.71  # SZS output start CNFRefutation
% See solution above
% 8.78/2.71  # Proof object total steps             : 36
% 8.78/2.71  # Proof object clause steps            : 23
% 8.78/2.71  # Proof object formula steps           : 13
% 8.78/2.71  # Proof object conjectures             : 16
% 8.78/2.71  # Proof object clause conjectures      : 11
% 8.78/2.71  # Proof object formula conjectures     : 5
% 8.78/2.71  # Proof object initial clauses used    : 13
% 8.78/2.71  # Proof object initial formulas used   : 13
% 8.78/2.71  # Proof object generating inferences   : 9
% 8.78/2.71  # Proof object simplifying inferences  : 13
% 8.78/2.71  # Training examples: 0 positive, 0 negative
% 8.78/2.71  # Parsed axioms                        : 203
% 8.78/2.71  # Removed by relevancy pruning/SinE    : 0
% 8.78/2.71  # Initial clauses                      : 203
% 8.78/2.71  # Removed in clause preprocessing      : 0
% 8.78/2.71  # Initial clauses in saturation        : 203
% 8.78/2.71  # Processed clauses                    : 325
% 8.78/2.71  # ...of these trivial                  : 6
% 8.78/2.71  # ...subsumed                          : 37
% 8.78/2.71  # ...remaining for further processing  : 282
% 8.78/2.71  # Other redundant clauses eliminated   : 26
% 8.78/2.71  # Clauses deleted for lack of memory   : 0
% 8.78/2.71  # Backward-subsumed                    : 5
% 8.78/2.71  # Backward-rewritten                   : 5
% 8.78/2.71  # Generated clauses                    : 2288
% 8.78/2.71  # ...of the previous two non-trivial   : 2129
% 8.78/2.71  # Contextual simplify-reflections      : 25
% 8.78/2.71  # Paramodulations                      : 2210
% 8.78/2.71  # Factorizations                       : 32
% 8.78/2.71  # Equation resolutions                 : 46
% 8.78/2.71  # Propositional unsat checks           : 0
% 8.78/2.71  # Propositional unsat check successes  : 0
% 8.78/2.71  # Current number of processed clauses  : 266
% 8.78/2.71  #    Positive orientable unit clauses  : 29
% 8.78/2.71  #    Positive unorientable unit clauses: 0
% 8.78/2.71  #    Negative unit clauses             : 4
% 8.78/2.71  #    Non-unit-clauses                  : 233
% 8.78/2.71  # Current number of unprocessed clauses: 1870
% 8.78/2.71  # ...number of literals in the above   : 8510
% 8.78/2.71  # Current number of archived formulas  : 0
% 8.78/2.71  # Current number of archived clauses   : 10
% 8.78/2.71  # Clause-clause subsumption calls (NU) : 10629
% 8.78/2.71  # Rec. Clause-clause subsumption calls : 2664
% 8.78/2.71  # Non-unit clause-clause subsumptions  : 54
% 8.78/2.71  # Unit Clause-clause subsumption calls : 670
% 8.78/2.71  # Rewrite failures with RHS unbound    : 0
% 8.78/2.71  # BW rewrite match attempts            : 2
% 8.78/2.71  # BW rewrite match successes           : 2
% 8.78/2.71  # Condensation attempts                : 0
% 8.78/2.71  # Condensation successes               : 0
% 8.78/2.71  # Termbank termtop insertions          : 39193
% 8.78/2.71  
% 8.78/2.71  # -------------------------------------------------
% 8.78/2.71  # User time                : 0.044 s
% 8.78/2.71  # System time              : 0.005 s
% 8.78/2.71  # Total time               : 0.049 s
% 8.78/2.71  # ...preprocessing         : 0.016 s
% 8.78/2.71  # ...main loop             : 0.033 s
% 8.78/2.71  # Maximum resident set size: 7132 pages
% 8.78/2.71  
%------------------------------------------------------------------------------