TSTP Solution File: SWC080+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC080+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 20:13:28 EDT 2022

% Result   : Theorem 8.54s 2.56s
% Output   : CNFRefutation 8.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   40 (  17 unt;   0 nHn;  40 RR)
%            Number of literals    :   96 (  11 equ;  61 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   28 (   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/sandbox2/tmp/enigma-theBenchmark.p-4n8c417j/input.p',i_0_149) ).

cnf(i_0_60,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4n8c417j/input.p',i_0_60) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4n8c417j/input.p',i_0_44) ).

cnf(i_0_199,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4n8c417j/input.p',i_0_199) ).

cnf(i_0_203,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4n8c417j/input.p',i_0_203) ).

cnf(i_0_204,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4n8c417j/input.p',i_0_204) ).

cnf(i_0_202,negated_conjecture,
    neq(esk49_0,nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4n8c417j/input.p',i_0_202) ).

cnf(i_0_114,plain,
    ( app(X1,esk32_2(X2,X1)) = X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4n8c417j/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/sandbox2/tmp/enigma-theBenchmark.p-4n8c417j/input.p',i_0_115) ).

cnf(i_0_206,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4n8c417j/input.p',i_0_206) ).

cnf(i_0_207,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4n8c417j/input.p',i_0_207) ).

cnf(i_0_195,negated_conjecture,
    ( neq(esk52_0,nil)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4n8c417j/input.p',i_0_195) ).

cnf(i_0_191,negated_conjecture,
    ( frontsegP(esk50_0,esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4n8c417j/input.p',i_0_191) ).

cnf(i_0_193,negated_conjecture,
    ( frontsegP(esk51_0,esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4n8c417j/input.p',i_0_193) ).

cnf(i_0_197,negated_conjecture,
    ( ssList(esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4n8c417j/input.p',i_0_197) ).

cnf(c_0_223,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    i_0_149 ).

cnf(c_0_224,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    i_0_60 ).

cnf(c_0_225,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_226,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1)
    | ~ neq(esk51_0,nil) ),
    i_0_199 ).

cnf(c_0_227,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_203 ).

cnf(c_0_228,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_204 ).

cnf(c_0_229,negated_conjecture,
    neq(esk49_0,nil),
    i_0_202 ).

cnf(c_0_230,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_223,c_0_224]),c_0_225])]) ).

cnf(c_0_231,plain,
    ( app(X1,esk32_2(X2,X1)) = X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X2,X1) ),
    i_0_114 ).

cnf(c_0_232,plain,
    ( ssList(esk32_2(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X1,X2) ),
    i_0_115 ).

cnf(c_0_233,negated_conjecture,
    ( ~ segmentP(esk50_0,X1)
    | ~ segmentP(esk49_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_227]),c_0_228]),c_0_229])]) ).

cnf(c_0_234,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_230,c_0_231])]),c_0_232]) ).

cnf(c_0_235,negated_conjecture,
    ssList(esk50_0),
    i_0_206 ).

cnf(c_0_236,negated_conjecture,
    ( ~ segmentP(esk49_0,X1)
    | ~ frontsegP(esk50_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235])]) ).

cnf(c_0_237,negated_conjecture,
    ssList(esk49_0),
    i_0_207 ).

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

cnf(c_0_239,negated_conjecture,
    ( frontsegP(esk50_0,esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_191 ).

cnf(c_0_240,negated_conjecture,
    ( frontsegP(esk51_0,esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_193 ).

cnf(c_0_241,negated_conjecture,
    ( ssList(esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_197 ).

cnf(c_0_242,plain,
    ( ~ frontsegP(esk50_0,X1)
    | ~ frontsegP(esk49_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_234]),c_0_237])]) ).

cnf(c_0_243,negated_conjecture,
    neq(esk52_0,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_228]),c_0_229])]) ).

cnf(c_0_244,negated_conjecture,
    frontsegP(esk50_0,esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_228]),c_0_229])]) ).

cnf(c_0_245,negated_conjecture,
    frontsegP(esk49_0,esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_228]),c_0_228]),c_0_229])]) ).

cnf(c_0_246,negated_conjecture,
    ssList(esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_241,c_0_228]),c_0_229])]) ).

cnf(c_0_247,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_244]),c_0_245]),c_0_246])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC080+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 12 09:42:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox2/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
% 8.54/2.56  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 8.54/2.56  # Version: 2.1pre011
% 8.54/2.56  # Preprocessing time       : 0.015 s
% 8.54/2.56  
% 8.54/2.56  # Proof found!
% 8.54/2.56  # SZS status Theorem
% 8.54/2.56  # SZS output start CNFRefutation
% See solution above
% 8.54/2.56  # Proof object total steps             : 40
% 8.54/2.56  # Proof object clause steps            : 25
% 8.54/2.56  # Proof object formula steps           : 15
% 8.54/2.56  # Proof object conjectures             : 27
% 8.54/2.56  # Proof object clause conjectures      : 17
% 8.54/2.56  # Proof object formula conjectures     : 10
% 8.54/2.56  # Proof object initial clauses used    : 15
% 8.54/2.56  # Proof object initial formulas used   : 15
% 8.54/2.56  # Proof object generating inferences   : 5
% 8.54/2.56  # Proof object simplifying inferences  : 29
% 8.54/2.56  # Training examples: 0 positive, 0 negative
% 8.54/2.56  # Parsed axioms                        : 206
% 8.54/2.56  # Removed by relevancy pruning/SinE    : 0
% 8.54/2.56  # Initial clauses                      : 206
% 8.54/2.56  # Removed in clause preprocessing      : 0
% 8.54/2.56  # Initial clauses in saturation        : 206
% 8.54/2.56  # Processed clauses                    : 381
% 8.54/2.56  # ...of these trivial                  : 8
% 8.54/2.56  # ...subsumed                          : 92
% 8.54/2.56  # ...remaining for further processing  : 281
% 8.54/2.56  # Other redundant clauses eliminated   : 135
% 8.54/2.56  # Clauses deleted for lack of memory   : 0
% 8.54/2.56  # Backward-subsumed                    : 2
% 8.54/2.56  # Backward-rewritten                   : 0
% 8.54/2.56  # Generated clauses                    : 1430
% 8.54/2.56  # ...of the previous two non-trivial   : 1191
% 8.54/2.56  # Contextual simplify-reflections      : 125
% 8.54/2.56  # Paramodulations                      : 1260
% 8.54/2.56  # Factorizations                       : 0
% 8.54/2.56  # Equation resolutions                 : 170
% 8.54/2.56  # Propositional unsat checks           : 0
% 8.54/2.56  # Propositional unsat check successes  : 0
% 8.54/2.56  # Current number of processed clauses  : 273
% 8.54/2.56  #    Positive orientable unit clauses  : 19
% 8.54/2.56  #    Positive unorientable unit clauses: 0
% 8.54/2.56  #    Negative unit clauses             : 8
% 8.54/2.56  #    Non-unit-clauses                  : 246
% 8.54/2.56  # Current number of unprocessed clauses: 1015
% 8.54/2.56  # ...number of literals in the above   : 7654
% 8.54/2.56  # Current number of archived formulas  : 0
% 8.54/2.56  # Current number of archived clauses   : 2
% 8.54/2.56  # Clause-clause subsumption calls (NU) : 15636
% 8.54/2.56  # Rec. Clause-clause subsumption calls : 3523
% 8.54/2.56  # Non-unit clause-clause subsumptions  : 186
% 8.54/2.56  # Unit Clause-clause subsumption calls : 143
% 8.54/2.56  # Rewrite failures with RHS unbound    : 0
% 8.54/2.56  # BW rewrite match attempts            : 0
% 8.54/2.56  # BW rewrite match successes           : 0
% 8.54/2.56  # Condensation attempts                : 0
% 8.54/2.56  # Condensation successes               : 0
% 8.54/2.56  # Termbank termtop insertions          : 33563
% 8.54/2.56  
% 8.54/2.56  # -------------------------------------------------
% 8.54/2.56  # User time                : 0.045 s
% 8.54/2.56  # System time              : 0.003 s
% 8.54/2.56  # Total time               : 0.048 s
% 8.54/2.56  # ...preprocessing         : 0.015 s
% 8.54/2.56  # ...main loop             : 0.034 s
% 8.54/2.56  # Maximum resident set size: 7136 pages
% 8.54/2.56  
%------------------------------------------------------------------------------