TSTP Solution File: SWC101+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC101+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 20:13:37 EDT 2022

% Result   : Theorem 7.36s 2.48s
% Output   : CNFRefutation 7.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   29 (  15 unt;   2 nHn;  29 RR)
%            Number of literals    :   56 (  19 equ;  32 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_191,negated_conjecture,
    ( ~ neq(esk48_0,nil)
    | ~ frontsegP(esk49_0,esk48_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4nfmm12/input.p',i_0_191) ).

cnf(i_0_199,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4nfmm12/input.p',i_0_199) ).

cnf(i_0_198,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4nfmm12/input.p',i_0_198) ).

cnf(i_0_192,negated_conjecture,
    ( nil != esk48_0
    | nil != esk49_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4nfmm12/input.p',i_0_192) ).

cnf(i_0_193,negated_conjecture,
    ( nil = esk51_0
    | esk50_0 != nil ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4nfmm12/input.p',i_0_193) ).

cnf(i_0_113,plain,
    ( frontsegP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4nfmm12/input.p',i_0_113) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4nfmm12/input.p',i_0_58) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4nfmm12/input.p',i_0_41) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4nfmm12/input.p',i_0_44) ).

cnf(i_0_201,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4nfmm12/input.p',i_0_201) ).

cnf(i_0_196,negated_conjecture,
    app(esk50_0,esk52_0) = esk51_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4nfmm12/input.p',i_0_196) ).

cnf(i_0_197,negated_conjecture,
    ssList(esk52_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4nfmm12/input.p',i_0_197) ).

cnf(c_0_214,negated_conjecture,
    ( ~ neq(esk48_0,nil)
    | ~ frontsegP(esk49_0,esk48_0) ),
    i_0_191 ).

cnf(c_0_215,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_199 ).

cnf(c_0_216,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_198 ).

cnf(c_0_217,negated_conjecture,
    ( nil != esk48_0
    | nil != esk49_0 ),
    i_0_192 ).

cnf(c_0_218,negated_conjecture,
    ( nil = esk51_0
    | esk50_0 != nil ),
    i_0_193 ).

cnf(c_0_219,plain,
    ( frontsegP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    i_0_113 ).

cnf(c_0_220,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_221,negated_conjecture,
    ( ~ neq(esk50_0,nil)
    | ~ frontsegP(esk51_0,esk50_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_215]),c_0_216]),c_0_216]) ).

cnf(c_0_222,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_223,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_224,negated_conjecture,
    ssList(esk50_0),
    i_0_201 ).

cnf(c_0_225,negated_conjecture,
    esk50_0 != nil,
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_216]),c_0_215]),c_0_218]) ).

cnf(c_0_226,plain,
    ( frontsegP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_219]),c_0_220]) ).

cnf(c_0_227,negated_conjecture,
    app(esk50_0,esk52_0) = esk51_0,
    i_0_196 ).

cnf(c_0_228,negated_conjecture,
    ssList(esk52_0),
    i_0_197 ).

cnf(c_0_229,negated_conjecture,
    ~ frontsegP(esk51_0,esk50_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223]),c_0_224])]),c_0_225]) ).

cnf(c_0_230,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228]),c_0_224])]),c_0_229]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWC101+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 12 11:45:38 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected SinE mode:
% 0.19/0.47  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.36/2.48  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.36/2.48  # Version: 2.1pre011
% 7.36/2.48  # Preprocessing time       : 0.014 s
% 7.36/2.48  
% 7.36/2.48  # Proof found!
% 7.36/2.48  # SZS status Theorem
% 7.36/2.48  # SZS output start CNFRefutation
% See solution above
% 7.36/2.48  # Proof object total steps             : 29
% 7.36/2.48  # Proof object clause steps            : 17
% 7.36/2.48  # Proof object formula steps           : 12
% 7.36/2.48  # Proof object conjectures             : 20
% 7.36/2.48  # Proof object clause conjectures      : 12
% 7.36/2.48  # Proof object formula conjectures     : 8
% 7.36/2.48  # Proof object initial clauses used    : 12
% 7.36/2.48  # Proof object initial formulas used   : 12
% 7.36/2.48  # Proof object generating inferences   : 3
% 7.36/2.48  # Proof object simplifying inferences  : 15
% 7.36/2.48  # Training examples: 0 positive, 0 negative
% 7.36/2.48  # Parsed axioms                        : 201
% 7.36/2.48  # Removed by relevancy pruning/SinE    : 0
% 7.36/2.48  # Initial clauses                      : 201
% 7.36/2.48  # Removed in clause preprocessing      : 0
% 7.36/2.48  # Initial clauses in saturation        : 201
% 7.36/2.48  # Processed clauses                    : 239
% 7.36/2.48  # ...of these trivial                  : 4
% 7.36/2.48  # ...subsumed                          : 16
% 7.36/2.48  # ...remaining for further processing  : 219
% 7.36/2.48  # Other redundant clauses eliminated   : 82
% 7.36/2.48  # Clauses deleted for lack of memory   : 0
% 7.36/2.48  # Backward-subsumed                    : 1
% 7.36/2.48  # Backward-rewritten                   : 1
% 7.36/2.48  # Generated clauses                    : 963
% 7.36/2.48  # ...of the previous two non-trivial   : 801
% 7.36/2.48  # Contextual simplify-reflections      : 13
% 7.36/2.48  # Paramodulations                      : 864
% 7.36/2.48  # Factorizations                       : 0
% 7.36/2.48  # Equation resolutions                 : 99
% 7.36/2.48  # Propositional unsat checks           : 0
% 7.36/2.48  # Propositional unsat check successes  : 0
% 7.36/2.48  # Current number of processed clauses  : 211
% 7.36/2.48  #    Positive orientable unit clauses  : 20
% 7.36/2.48  #    Positive unorientable unit clauses: 0
% 7.36/2.48  #    Negative unit clauses             : 5
% 7.36/2.48  #    Non-unit-clauses                  : 186
% 7.36/2.48  # Current number of unprocessed clauses: 746
% 7.36/2.48  # ...number of literals in the above   : 5459
% 7.36/2.48  # Current number of archived formulas  : 0
% 7.36/2.48  # Current number of archived clauses   : 2
% 7.36/2.48  # Clause-clause subsumption calls (NU) : 7492
% 7.36/2.48  # Rec. Clause-clause subsumption calls : 1790
% 7.36/2.48  # Non-unit clause-clause subsumptions  : 23
% 7.36/2.48  # Unit Clause-clause subsumption calls : 62
% 7.36/2.48  # Rewrite failures with RHS unbound    : 0
% 7.36/2.48  # BW rewrite match attempts            : 1
% 7.36/2.48  # BW rewrite match successes           : 1
% 7.36/2.48  # Condensation attempts                : 0
% 7.36/2.48  # Condensation successes               : 0
% 7.36/2.48  # Termbank termtop insertions          : 24316
% 7.36/2.48  
% 7.36/2.48  # -------------------------------------------------
% 7.36/2.48  # User time                : 0.029 s
% 7.36/2.48  # System time              : 0.004 s
% 7.36/2.48  # Total time               : 0.033 s
% 7.36/2.48  # ...preprocessing         : 0.014 s
% 7.36/2.48  # ...main loop             : 0.019 s
% 7.36/2.48  # Maximum resident set size: 7128 pages
% 7.36/2.48  
%------------------------------------------------------------------------------