TSTP Solution File: SWC355+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC355+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 20:15:10 EDT 2022

% Result   : Theorem 8.50s 2.41s
% Output   : CNFRefutation 8.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   39 (  18 unt;   0 nHn;  39 RR)
%            Number of literals    :   91 (  17 equ;  57 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   34 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_149,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-feyo7f65/input.p',i_0_149) ).

cnf(i_0_60,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-feyo7f65/input.p',i_0_60) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-feyo7f65/input.p',i_0_44) ).

cnf(i_0_191,negated_conjecture,
    ( ~ neq(esk51_0,nil)
    | ~ segmentP(esk49_0,esk48_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-feyo7f65/input.p',i_0_191) ).

cnf(i_0_199,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-feyo7f65/input.p',i_0_199) ).

cnf(i_0_200,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-feyo7f65/input.p',i_0_200) ).

cnf(i_0_198,negated_conjecture,
    neq(esk49_0,nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-feyo7f65/input.p',i_0_198) ).

cnf(i_0_114,plain,
    ( app(X1,esk32_2(X2,X1)) = X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-feyo7f65/input.p',i_0_114) ).

cnf(i_0_115,plain,
    ( ssList(esk32_2(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-feyo7f65/input.p',i_0_115) ).

cnf(i_0_193,negated_conjecture,
    ( app(esk50_0,cons(esk52_0,nil)) = esk51_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-feyo7f65/input.p',i_0_193) ).

cnf(i_0_202,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-feyo7f65/input.p',i_0_202) ).

cnf(i_0_203,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-feyo7f65/input.p',i_0_203) ).

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-feyo7f65/input.p',i_0_113) ).

cnf(i_0_195,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-feyo7f65/input.p',i_0_195) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-feyo7f65/input.p',i_0_43) ).

cnf(c_0_219,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    i_0_149 ).

cnf(c_0_220,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    i_0_60 ).

cnf(c_0_221,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_222,negated_conjecture,
    ( ~ neq(esk51_0,nil)
    | ~ segmentP(esk49_0,esk48_0) ),
    i_0_191 ).

cnf(c_0_223,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_199 ).

cnf(c_0_224,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_200 ).

cnf(c_0_225,negated_conjecture,
    neq(esk49_0,nil),
    i_0_198 ).

cnf(c_0_226,plain,
    ( segmentP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221])]) ).

cnf(c_0_227,plain,
    ( app(X1,esk32_2(X2,X1)) = X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X2,X1) ),
    i_0_114 ).

cnf(c_0_228,plain,
    ( ssList(esk32_2(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X1,X2) ),
    i_0_115 ).

cnf(c_0_229,negated_conjecture,
    ( app(esk50_0,cons(esk52_0,nil)) = esk51_0
    | ~ neq(esk51_0,nil) ),
    i_0_193 ).

cnf(c_0_230,negated_conjecture,
    ~ segmentP(esk49_0,esk50_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_223]),c_0_224]),c_0_225])]) ).

cnf(c_0_231,plain,
    ( segmentP(X1,X2)
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227])]),c_0_228]) ).

cnf(c_0_232,negated_conjecture,
    ssList(esk50_0),
    i_0_202 ).

cnf(c_0_233,negated_conjecture,
    ssList(esk49_0),
    i_0_203 ).

cnf(c_0_234,plain,
    ( frontsegP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    i_0_113 ).

cnf(c_0_235,negated_conjecture,
    app(esk50_0,cons(esk52_0,nil)) = esk49_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_224]),c_0_224]),c_0_225])]) ).

cnf(c_0_236,negated_conjecture,
    ~ frontsegP(esk49_0,esk50_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232]),c_0_233])]) ).

cnf(c_0_237,negated_conjecture,
    ( frontsegP(X1,esk50_0)
    | esk49_0 != X1
    | ~ ssList(cons(esk52_0,nil))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_232])]) ).

cnf(c_0_238,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_195 ).

cnf(c_0_239,negated_conjecture,
    ~ ssList(cons(esk52_0,nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_233])]) ).

cnf(c_0_240,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_241,negated_conjecture,
    ssItem(esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_224]),c_0_225])]) ).

cnf(c_0_242,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_241]),c_0_221])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC355+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n027.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 06:41:02 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.40  # ENIGMATIC: Selected SinE mode:
% 0.20/0.41  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.41  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.41  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.41  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.50/2.41  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 8.50/2.41  # Version: 2.1pre011
% 8.50/2.41  # Preprocessing time       : 0.024 s
% 8.50/2.41  
% 8.50/2.41  # Proof found!
% 8.50/2.41  # SZS status Theorem
% 8.50/2.41  # SZS output start CNFRefutation
% See solution above
% 8.50/2.41  # Proof object total steps             : 39
% 8.50/2.41  # Proof object clause steps            : 24
% 8.50/2.41  # Proof object formula steps           : 15
% 8.50/2.41  # Proof object conjectures             : 22
% 8.50/2.41  # Proof object clause conjectures      : 14
% 8.50/2.41  # Proof object formula conjectures     : 8
% 8.50/2.41  # Proof object initial clauses used    : 15
% 8.50/2.41  # Proof object initial formulas used   : 15
% 8.50/2.41  # Proof object generating inferences   : 6
% 8.50/2.41  # Proof object simplifying inferences  : 25
% 8.50/2.41  # Training examples: 0 positive, 0 negative
% 8.50/2.41  # Parsed axioms                        : 202
% 8.50/2.41  # Removed by relevancy pruning/SinE    : 0
% 8.50/2.41  # Initial clauses                      : 202
% 8.50/2.41  # Removed in clause preprocessing      : 0
% 8.50/2.41  # Initial clauses in saturation        : 202
% 8.50/2.41  # Processed clauses                    : 727
% 8.50/2.41  # ...of these trivial                  : 13
% 8.50/2.41  # ...subsumed                          : 298
% 8.50/2.41  # ...remaining for further processing  : 416
% 8.50/2.41  # Other redundant clauses eliminated   : 134
% 8.50/2.41  # Clauses deleted for lack of memory   : 0
% 8.50/2.41  # Backward-subsumed                    : 20
% 8.50/2.41  # Backward-rewritten                   : 1
% 8.50/2.41  # Generated clauses                    : 2759
% 8.50/2.41  # ...of the previous two non-trivial   : 2467
% 8.50/2.41  # Contextual simplify-reflections      : 290
% 8.50/2.41  # Paramodulations                      : 2583
% 8.50/2.41  # Factorizations                       : 0
% 8.50/2.41  # Equation resolutions                 : 176
% 8.50/2.41  # Propositional unsat checks           : 0
% 8.50/2.41  # Propositional unsat check successes  : 0
% 8.50/2.41  # Current number of processed clauses  : 389
% 8.50/2.41  #    Positive orientable unit clauses  : 17
% 8.50/2.41  #    Positive unorientable unit clauses: 0
% 8.50/2.41  #    Negative unit clauses             : 9
% 8.50/2.41  #    Non-unit-clauses                  : 363
% 8.50/2.41  # Current number of unprocessed clauses: 1852
% 8.50/2.41  # ...number of literals in the above   : 13417
% 8.50/2.41  # Current number of archived formulas  : 0
% 8.50/2.41  # Current number of archived clauses   : 21
% 8.50/2.41  # Clause-clause subsumption calls (NU) : 46251
% 8.50/2.41  # Rec. Clause-clause subsumption calls : 8731
% 8.50/2.41  # Non-unit clause-clause subsumptions  : 455
% 8.50/2.41  # Unit Clause-clause subsumption calls : 271
% 8.50/2.41  # Rewrite failures with RHS unbound    : 0
% 8.50/2.41  # BW rewrite match attempts            : 1
% 8.50/2.41  # BW rewrite match successes           : 1
% 8.50/2.41  # Condensation attempts                : 0
% 8.50/2.41  # Condensation successes               : 0
% 8.50/2.41  # Termbank termtop insertions          : 57112
% 8.50/2.41  
% 8.50/2.41  # -------------------------------------------------
% 8.50/2.41  # User time                : 0.104 s
% 8.50/2.41  # System time              : 0.009 s
% 8.50/2.41  # Total time               : 0.113 s
% 8.50/2.41  # ...preprocessing         : 0.024 s
% 8.50/2.41  # ...main loop             : 0.089 s
% 8.50/2.41  # Maximum resident set size: 7132 pages
% 8.50/2.41  
%------------------------------------------------------------------------------