TSTP Solution File: SWC028+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC028+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 20:13:09 EDT 2022

% Result   : Theorem 7.43s 2.65s
% Output   : CNFRefutation 7.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   28 (  12 unt;   8 nHn;  28 RR)
%            Number of literals    :   50 (  27 equ;  21 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_198,negated_conjecture,
    ( nil = esk48_0
    | nil = esk49_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9m2v5g0o/input.p',i_0_198) ).

cnf(i_0_199,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9m2v5g0o/input.p',i_0_199) ).

cnf(i_0_200,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9m2v5g0o/input.p',i_0_200) ).

cnf(i_0_191,negated_conjecture,
    ( esk50_0 = nil
    | rearsegP(esk51_0,esk50_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9m2v5g0o/input.p',i_0_191) ).

cnf(i_0_195,negated_conjecture,
    ( nil != esk48_0
    | nil != esk49_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9m2v5g0o/input.p',i_0_195) ).

cnf(i_0_104,plain,
    ( nil = X1
    | ~ ssList(X1)
    | ~ rearsegP(nil,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9m2v5g0o/input.p',i_0_104) ).

cnf(i_0_202,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9m2v5g0o/input.p',i_0_202) ).

cnf(i_0_42,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9m2v5g0o/input.p',i_0_42) ).

cnf(i_0_194,negated_conjecture,
    ( nil = esk51_0
    | neq(esk50_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9m2v5g0o/input.p',i_0_194) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9m2v5g0o/input.p',i_0_44) ).

cnf(c_0_213,negated_conjecture,
    ( nil = esk48_0
    | nil = esk49_0 ),
    i_0_198 ).

cnf(c_0_214,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_199 ).

cnf(c_0_215,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_200 ).

cnf(c_0_216,negated_conjecture,
    ( esk50_0 = nil
    | rearsegP(esk51_0,esk50_0) ),
    i_0_191 ).

cnf(c_0_217,negated_conjecture,
    ( esk51_0 = nil
    | esk50_0 = nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_214]),c_0_215]) ).

cnf(c_0_218,negated_conjecture,
    ( nil != esk48_0
    | nil != esk49_0 ),
    i_0_195 ).

cnf(c_0_219,plain,
    ( nil = X1
    | ~ ssList(X1)
    | ~ rearsegP(nil,X1) ),
    i_0_104 ).

cnf(c_0_220,negated_conjecture,
    ( esk50_0 = nil
    | rearsegP(nil,esk50_0) ),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_221,negated_conjecture,
    ssList(esk50_0),
    i_0_202 ).

cnf(c_0_222,negated_conjecture,
    ( esk50_0 != nil
    | esk51_0 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_214]),c_0_215]) ).

cnf(c_0_223,plain,
    esk50_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221])]) ).

cnf(c_0_224,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    i_0_42 ).

cnf(c_0_225,negated_conjecture,
    ( nil = esk51_0
    | neq(esk50_0,nil) ),
    i_0_194 ).

cnf(c_0_226,negated_conjecture,
    esk51_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_223])]) ).

cnf(c_0_227,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_224]) ).

cnf(c_0_228,negated_conjecture,
    neq(nil,nil),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_223]),c_0_226]) ).

cnf(c_0_229,plain,
    ssList(nil),
    i_0_44 ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWC028+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sun Jun 12 06:27:56 EDT 2022
% 0.21/0.36  % CPUTime  : 
% 0.21/0.47  # ENIGMATIC: Selected SinE mode:
% 0.21/0.48  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.21/0.48  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.21/0.48  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.43/2.65  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 7.43/2.65  # Version: 2.1pre011
% 7.43/2.65  # Preprocessing time       : 0.014 s
% 7.43/2.65  
% 7.43/2.65  # Proof found!
% 7.43/2.65  # SZS status Theorem
% 7.43/2.65  # SZS output start CNFRefutation
% See solution above
% 7.43/2.65  # Proof object total steps             : 28
% 7.43/2.65  # Proof object clause steps            : 18
% 7.43/2.65  # Proof object formula steps           : 10
% 7.43/2.65  # Proof object conjectures             : 19
% 7.43/2.65  # Proof object clause conjectures      : 12
% 7.43/2.65  # Proof object formula conjectures     : 7
% 7.43/2.65  # Proof object initial clauses used    : 10
% 7.43/2.65  # Proof object initial formulas used   : 10
% 7.43/2.65  # Proof object generating inferences   : 3
% 7.43/2.65  # Proof object simplifying inferences  : 13
% 7.43/2.65  # Training examples: 0 positive, 0 negative
% 7.43/2.65  # Parsed axioms                        : 200
% 7.43/2.65  # Removed by relevancy pruning/SinE    : 0
% 7.43/2.65  # Initial clauses                      : 200
% 7.43/2.65  # Removed in clause preprocessing      : 0
% 7.43/2.65  # Initial clauses in saturation        : 200
% 7.43/2.65  # Processed clauses                    : 244
% 7.43/2.65  # ...of these trivial                  : 7
% 7.43/2.65  # ...subsumed                          : 11
% 7.43/2.65  # ...remaining for further processing  : 226
% 7.43/2.65  # Other redundant clauses eliminated   : 24
% 7.43/2.65  # Clauses deleted for lack of memory   : 0
% 7.43/2.65  # Backward-subsumed                    : 0
% 7.43/2.65  # Backward-rewritten                   : 10
% 7.43/2.65  # Generated clauses                    : 1414
% 7.43/2.65  # ...of the previous two non-trivial   : 1276
% 7.43/2.65  # Contextual simplify-reflections      : 5
% 7.43/2.65  # Paramodulations                      : 1344
% 7.43/2.65  # Factorizations                       : 30
% 7.43/2.65  # Equation resolutions                 : 40
% 7.43/2.65  # Propositional unsat checks           : 0
% 7.43/2.65  # Propositional unsat check successes  : 0
% 7.43/2.65  # Current number of processed clauses  : 210
% 7.43/2.65  #    Positive orientable unit clauses  : 21
% 7.43/2.65  #    Positive unorientable unit clauses: 0
% 7.43/2.65  #    Negative unit clauses             : 4
% 7.43/2.65  #    Non-unit-clauses                  : 185
% 7.43/2.65  # Current number of unprocessed clauses: 1168
% 7.43/2.65  # ...number of literals in the above   : 5773
% 7.43/2.65  # Current number of archived formulas  : 0
% 7.43/2.65  # Current number of archived clauses   : 10
% 7.43/2.65  # Clause-clause subsumption calls (NU) : 7015
% 7.43/2.65  # Rec. Clause-clause subsumption calls : 1843
% 7.43/2.65  # Non-unit clause-clause subsumptions  : 14
% 7.43/2.65  # Unit Clause-clause subsumption calls : 433
% 7.43/2.65  # Rewrite failures with RHS unbound    : 0
% 7.43/2.65  # BW rewrite match attempts            : 2
% 7.43/2.65  # BW rewrite match successes           : 2
% 7.43/2.65  # Condensation attempts                : 0
% 7.43/2.65  # Condensation successes               : 0
% 7.43/2.65  # Termbank termtop insertions          : 25871
% 7.43/2.65  
% 7.43/2.65  # -------------------------------------------------
% 7.43/2.65  # User time                : 0.029 s
% 7.43/2.65  # System time              : 0.004 s
% 7.43/2.65  # Total time               : 0.033 s
% 7.43/2.65  # ...preprocessing         : 0.014 s
% 7.43/2.65  # ...main loop             : 0.019 s
% 7.43/2.65  # Maximum resident set size: 7140 pages
% 7.43/2.65  
%------------------------------------------------------------------------------