TSTP Solution File: SWC092+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC092+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 20:13:33 EDT 2022

% Result   : Theorem 8.41s 2.48s
% Output   : CNFRefutation 8.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   41 (  21 unt;   2 nHn;  41 RR)
%            Number of literals    :   89 (  23 equ;  54 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   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   :   29 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_197,negated_conjecture,
    neq(esk49_0,nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-67uqzfr4/input.p',i_0_197) ).

cnf(i_0_199,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-67uqzfr4/input.p',i_0_199) ).

cnf(i_0_196,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-67uqzfr4/input.p',i_0_196) ).

cnf(i_0_198,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-67uqzfr4/input.p',i_0_198) ).

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-67uqzfr4/input.p',i_0_149) ).

cnf(i_0_60,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-67uqzfr4/input.p',i_0_60) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-67uqzfr4/input.p',i_0_44) ).

cnf(i_0_42,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-67uqzfr4/input.p',i_0_42) ).

cnf(i_0_191,negated_conjecture,
    ( nil = esk51_0
    | esk50_0 != nil ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-67uqzfr4/input.p',i_0_191) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-67uqzfr4/input.p',i_0_41) ).

cnf(i_0_194,negated_conjecture,
    app(esk50_0,esk52_0) = esk51_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-67uqzfr4/input.p',i_0_194) ).

cnf(i_0_195,negated_conjecture,
    ssList(esk52_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-67uqzfr4/input.p',i_0_195) ).

cnf(i_0_201,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-67uqzfr4/input.p',i_0_201) ).

cnf(i_0_202,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-67uqzfr4/input.p',i_0_202) ).

cnf(i_0_107,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-67uqzfr4/input.p',i_0_107) ).

cnf(c_0_218,negated_conjecture,
    neq(esk49_0,nil),
    i_0_197 ).

cnf(c_0_219,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_199 ).

cnf(c_0_220,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    i_0_196 ).

cnf(c_0_221,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_198 ).

cnf(c_0_222,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    i_0_149 ).

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

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

cnf(c_0_225,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    i_0_42 ).

cnf(c_0_226,negated_conjecture,
    neq(esk51_0,nil),
    inference(rw,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_227,negated_conjecture,
    ( nil = esk51_0
    | esk50_0 != nil ),
    i_0_191 ).

cnf(c_0_228,negated_conjecture,
    ( ~ segmentP(esk50_0,X1)
    | ~ segmentP(esk51_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_221]),c_0_219]) ).

cnf(c_0_229,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

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_222,c_0_223]),c_0_224])]) ).

cnf(c_0_231,negated_conjecture,
    app(esk50_0,esk52_0) = esk51_0,
    i_0_194 ).

cnf(c_0_232,negated_conjecture,
    ssList(esk52_0),
    i_0_195 ).

cnf(c_0_233,negated_conjecture,
    ssList(esk50_0),
    i_0_201 ).

cnf(c_0_234,negated_conjecture,
    ssList(esk49_0),
    i_0_202 ).

cnf(c_0_235,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_225]) ).

cnf(c_0_236,negated_conjecture,
    ( neq(nil,nil)
    | esk50_0 != nil ),
    inference(spm,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_237,negated_conjecture,
    ( X1 = nil
    | ~ segmentP(esk50_0,X1)
    | ~ segmentP(esk51_0,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_224])]) ).

cnf(c_0_238,negated_conjecture,
    ( segmentP(X1,esk50_0)
    | esk51_0 != X1
    | ~ ssList(X1) ),
    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_239,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_234,c_0_219]) ).

cnf(c_0_240,plain,
    esk50_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_224])]) ).

cnf(c_0_241,negated_conjecture,
    ~ segmentP(esk50_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_237,c_0_238]),c_0_233]),c_0_239])]),c_0_240]) ).

cnf(c_0_242,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    i_0_107 ).

cnf(c_0_243,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_233])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC092+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n012.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 21:21:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.41/2.48  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 8.41/2.48  # Version: 2.1pre011
% 8.41/2.48  # Preprocessing time       : 0.013 s
% 8.41/2.48  
% 8.41/2.48  # Proof found!
% 8.41/2.48  # SZS status Theorem
% 8.41/2.48  # SZS output start CNFRefutation
% See solution above
% 8.41/2.48  # Proof object total steps             : 41
% 8.41/2.48  # Proof object clause steps            : 26
% 8.41/2.48  # Proof object formula steps           : 15
% 8.41/2.48  # Proof object conjectures             : 25
% 8.41/2.48  # Proof object clause conjectures      : 16
% 8.41/2.48  # Proof object formula conjectures     : 9
% 8.41/2.48  # Proof object initial clauses used    : 15
% 8.41/2.48  # Proof object initial formulas used   : 15
% 8.41/2.48  # Proof object generating inferences   : 7
% 8.41/2.48  # Proof object simplifying inferences  : 20
% 8.41/2.48  # Training examples: 0 positive, 0 negative
% 8.41/2.48  # Parsed axioms                        : 201
% 8.41/2.48  # Removed by relevancy pruning/SinE    : 0
% 8.41/2.48  # Initial clauses                      : 201
% 8.41/2.48  # Removed in clause preprocessing      : 0
% 8.41/2.48  # Initial clauses in saturation        : 201
% 8.41/2.48  # Processed clauses                    : 402
% 8.41/2.48  # ...of these trivial                  : 13
% 8.41/2.48  # ...subsumed                          : 90
% 8.41/2.48  # ...remaining for further processing  : 299
% 8.41/2.48  # Other redundant clauses eliminated   : 99
% 8.41/2.48  # Clauses deleted for lack of memory   : 0
% 8.41/2.48  # Backward-subsumed                    : 13
% 8.41/2.48  # Backward-rewritten                   : 0
% 8.41/2.48  # Generated clauses                    : 1403
% 8.41/2.48  # ...of the previous two non-trivial   : 1194
% 8.41/2.48  # Contextual simplify-reflections      : 80
% 8.41/2.48  # Paramodulations                      : 1277
% 8.41/2.48  # Factorizations                       : 0
% 8.41/2.48  # Equation resolutions                 : 126
% 8.41/2.48  # Propositional unsat checks           : 0
% 8.41/2.48  # Propositional unsat check successes  : 0
% 8.41/2.48  # Current number of processed clauses  : 280
% 8.41/2.48  #    Positive orientable unit clauses  : 22
% 8.41/2.48  #    Positive unorientable unit clauses: 0
% 8.41/2.48  #    Negative unit clauses             : 9
% 8.41/2.48  #    Non-unit-clauses                  : 249
% 8.41/2.48  # Current number of unprocessed clauses: 985
% 8.41/2.48  # ...number of literals in the above   : 7164
% 8.41/2.48  # Current number of archived formulas  : 0
% 8.41/2.48  # Current number of archived clauses   : 13
% 8.41/2.48  # Clause-clause subsumption calls (NU) : 16466
% 8.41/2.48  # Rec. Clause-clause subsumption calls : 3178
% 8.41/2.48  # Non-unit clause-clause subsumptions  : 144
% 8.41/2.48  # Unit Clause-clause subsumption calls : 490
% 8.41/2.48  # Rewrite failures with RHS unbound    : 0
% 8.41/2.48  # BW rewrite match attempts            : 0
% 8.41/2.48  # BW rewrite match successes           : 0
% 8.41/2.48  # Condensation attempts                : 0
% 8.41/2.48  # Condensation successes               : 0
% 8.41/2.48  # Termbank termtop insertions          : 31993
% 8.41/2.48  
% 8.41/2.48  # -------------------------------------------------
% 8.41/2.48  # User time                : 0.044 s
% 8.41/2.48  # System time              : 0.002 s
% 8.41/2.48  # Total time               : 0.046 s
% 8.41/2.48  # ...preprocessing         : 0.013 s
% 8.41/2.48  # ...main loop             : 0.033 s
% 8.41/2.48  # Maximum resident set size: 7132 pages
% 8.41/2.48  
%------------------------------------------------------------------------------