TSTP Solution File: SWC392+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC392+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 20:15:24 EDT 2022

% Result   : Theorem 6.38s 2.12s
% Output   : CNFRefutation 6.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   42 (  22 unt;  15 nHn;  42 RR)
%            Number of literals    :   77 (  29 equ;  28 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_78,plain,
    ( X1 = X2
    | memberP(X3,X2)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ memberP(cons(X1,X3),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vggria9k/input.p',i_0_78) ).

cnf(i_0_195,negated_conjecture,
    ( esk50_0 = nil
    | cons(esk53_0,nil) = esk50_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vggria9k/input.p',i_0_195) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vggria9k/input.p',i_0_44) ).

cnf(i_0_197,negated_conjecture,
    ( esk50_0 = nil
    | ssItem(esk53_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vggria9k/input.p',i_0_197) ).

cnf(i_0_79,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vggria9k/input.p',i_0_79) ).

cnf(i_0_200,negated_conjecture,
    memberP(esk48_0,esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vggria9k/input.p',i_0_200) ).

cnf(i_0_202,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vggria9k/input.p',i_0_202) ).

cnf(i_0_98,plain,
    ( singletonP(X1)
    | cons(X2,nil) != X1
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vggria9k/input.p',i_0_98) ).

cnf(i_0_199,negated_conjecture,
    ~ memberP(esk49_0,esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vggria9k/input.p',i_0_199) ).

cnf(i_0_203,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vggria9k/input.p',i_0_203) ).

cnf(i_0_201,negated_conjecture,
    ssItem(esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vggria9k/input.p',i_0_201) ).

cnf(i_0_196,negated_conjecture,
    ( nil = esk51_0
    | cons(esk53_0,nil) = esk50_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vggria9k/input.p',i_0_196) ).

cnf(i_0_205,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vggria9k/input.p',i_0_205) ).

cnf(i_0_198,negated_conjecture,
    ( nil = esk51_0
    | ssItem(esk53_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vggria9k/input.p',i_0_198) ).

cnf(i_0_193,negated_conjecture,
    ( esk50_0 = nil
    | memberP(esk51_0,esk53_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vggria9k/input.p',i_0_193) ).

cnf(i_0_80,plain,
    ~ singletonP(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vggria9k/input.p',i_0_80) ).

cnf(c_0_222,plain,
    ( X1 = X2
    | memberP(X3,X2)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ memberP(cons(X1,X3),X2) ),
    i_0_78 ).

cnf(c_0_223,negated_conjecture,
    ( esk50_0 = nil
    | cons(esk53_0,nil) = esk50_0 ),
    i_0_195 ).

cnf(c_0_224,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_225,negated_conjecture,
    ( esk50_0 = nil
    | ssItem(esk53_0) ),
    i_0_197 ).

cnf(c_0_226,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    i_0_79 ).

cnf(c_0_227,negated_conjecture,
    memberP(esk48_0,esk52_0),
    i_0_200 ).

cnf(c_0_228,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_202 ).

cnf(c_0_229,plain,
    ( singletonP(X1)
    | cons(X2,nil) != X1
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    i_0_98 ).

cnf(c_0_230,negated_conjecture,
    ~ memberP(esk49_0,esk52_0),
    i_0_199 ).

cnf(c_0_231,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_203 ).

cnf(c_0_232,negated_conjecture,
    ( esk50_0 = nil
    | esk53_0 = X1
    | ~ memberP(esk50_0,X1)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224])]),c_0_225]),c_0_226]) ).

cnf(c_0_233,negated_conjecture,
    memberP(esk50_0,esk52_0),
    inference(rw,[status(thm)],[c_0_227,c_0_228]) ).

cnf(c_0_234,negated_conjecture,
    ssItem(esk52_0),
    i_0_201 ).

cnf(c_0_235,plain,
    ( singletonP(cons(X1,nil))
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil)) ),
    inference(er,[status(thm)],[c_0_229]) ).

cnf(c_0_236,negated_conjecture,
    ( nil = esk51_0
    | cons(esk53_0,nil) = esk50_0 ),
    i_0_196 ).

cnf(c_0_237,negated_conjecture,
    ssList(esk50_0),
    i_0_205 ).

cnf(c_0_238,negated_conjecture,
    ( nil = esk51_0
    | ssItem(esk53_0) ),
    i_0_198 ).

cnf(c_0_239,negated_conjecture,
    ~ memberP(esk51_0,esk52_0),
    inference(rw,[status(thm)],[c_0_230,c_0_231]) ).

cnf(c_0_240,negated_conjecture,
    ( esk52_0 = esk53_0
    | esk50_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234])]) ).

cnf(c_0_241,negated_conjecture,
    ( esk50_0 = nil
    | memberP(esk51_0,esk53_0) ),
    i_0_193 ).

cnf(c_0_242,negated_conjecture,
    ( esk51_0 = nil
    | singletonP(esk50_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237])]),c_0_238]) ).

cnf(c_0_243,negated_conjecture,
    esk50_0 = nil,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_241]) ).

cnf(c_0_244,plain,
    ~ singletonP(nil),
    i_0_80 ).

cnf(c_0_245,negated_conjecture,
    esk51_0 = nil,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_243]),c_0_244]) ).

cnf(c_0_246,negated_conjecture,
    ~ memberP(nil,esk52_0),
    inference(rw,[status(thm)],[c_0_239,c_0_245]) ).

cnf(c_0_247,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_243]),c_0_246]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SWC392+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.09  % Command  : enigmatic-eprover.py %s %d 1
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 600
% 0.08/0.28  % DateTime : Sun Jun 12 06:26:27 EDT 2022
% 0.08/0.28  % CPUTime  : 
% 0.12/0.33  # ENIGMATIC: Selected SinE mode:
% 0.12/0.34  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.12/0.34  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.12/0.34  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 6.38/2.12  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 6.38/2.12  # Version: 2.1pre011
% 6.38/2.12  # Preprocessing time       : 0.016 s
% 6.38/2.12  
% 6.38/2.12  # Proof found!
% 6.38/2.12  # SZS status Theorem
% 6.38/2.12  # SZS output start CNFRefutation
% See solution above
% 6.38/2.12  # Proof object total steps             : 42
% 6.38/2.12  # Proof object clause steps            : 26
% 6.38/2.12  # Proof object formula steps           : 16
% 6.38/2.12  # Proof object conjectures             : 31
% 6.38/2.12  # Proof object clause conjectures      : 20
% 6.38/2.12  # Proof object formula conjectures     : 11
% 6.38/2.12  # Proof object initial clauses used    : 16
% 6.38/2.12  # Proof object initial formulas used   : 16
% 6.38/2.12  # Proof object generating inferences   : 5
% 6.38/2.12  # Proof object simplifying inferences  : 17
% 6.38/2.12  # Training examples: 0 positive, 0 negative
% 6.38/2.12  # Parsed axioms                        : 205
% 6.38/2.12  # Removed by relevancy pruning/SinE    : 0
% 6.38/2.12  # Initial clauses                      : 205
% 6.38/2.12  # Removed in clause preprocessing      : 0
% 6.38/2.12  # Initial clauses in saturation        : 205
% 6.38/2.12  # Processed clauses                    : 463
% 6.38/2.12  # ...of these trivial                  : 7
% 6.38/2.12  # ...subsumed                          : 120
% 6.38/2.12  # ...remaining for further processing  : 335
% 6.38/2.12  # Other redundant clauses eliminated   : 101
% 6.38/2.12  # Clauses deleted for lack of memory   : 0
% 6.38/2.12  # Backward-subsumed                    : 4
% 6.38/2.12  # Backward-rewritten                   : 97
% 6.38/2.12  # Generated clauses                    : 1807
% 6.38/2.12  # ...of the previous two non-trivial   : 1618
% 6.38/2.12  # Contextual simplify-reflections      : 232
% 6.38/2.12  # Paramodulations                      : 1662
% 6.38/2.12  # Factorizations                       : 0
% 6.38/2.12  # Equation resolutions                 : 145
% 6.38/2.12  # Propositional unsat checks           : 0
% 6.38/2.12  # Propositional unsat check successes  : 0
% 6.38/2.12  # Current number of processed clauses  : 228
% 6.38/2.12  #    Positive orientable unit clauses  : 15
% 6.38/2.12  #    Positive unorientable unit clauses: 0
% 6.38/2.12  #    Negative unit clauses             : 3
% 6.38/2.12  #    Non-unit-clauses                  : 210
% 6.38/2.12  # Current number of unprocessed clauses: 953
% 6.38/2.12  # ...number of literals in the above   : 7234
% 6.38/2.12  # Current number of archived formulas  : 0
% 6.38/2.12  # Current number of archived clauses   : 101
% 6.38/2.12  # Clause-clause subsumption calls (NU) : 18341
% 6.38/2.12  # Rec. Clause-clause subsumption calls : 3891
% 6.38/2.12  # Non-unit clause-clause subsumptions  : 356
% 6.38/2.12  # Unit Clause-clause subsumption calls : 131
% 6.38/2.12  # Rewrite failures with RHS unbound    : 0
% 6.38/2.12  # BW rewrite match attempts            : 3
% 6.38/2.12  # BW rewrite match successes           : 3
% 6.38/2.12  # Condensation attempts                : 0
% 6.38/2.12  # Condensation successes               : 0
% 6.38/2.12  # Termbank termtop insertions          : 39646
% 6.38/2.12  
% 6.38/2.12  # -------------------------------------------------
% 6.38/2.12  # User time                : 0.062 s
% 6.38/2.12  # System time              : 0.003 s
% 6.38/2.12  # Total time               : 0.065 s
% 6.38/2.12  # ...preprocessing         : 0.016 s
% 6.38/2.12  # ...main loop             : 0.049 s
% 6.38/2.12  # Maximum resident set size: 7124 pages
% 6.38/2.12  
%------------------------------------------------------------------------------