TSTP Solution File: SWC013+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC013+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 20:13:03 EDT 2022

% Result   : Theorem 7.73s 2.42s
% Output   : CNFRefutation 7.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   32 (  13 unt;   4 nHn;  32 RR)
%            Number of literals    :   96 (  36 equ;  67 neg)
%            Maximal clause size   :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_191,negated_conjecture,
    ( esk48_0 != X1
    | hd(esk49_0) != X2
    | cons(X2,nil) != X1
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ neq(nil,esk49_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-du6i9rvk/input.p',i_0_191) ).

cnf(i_0_197,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-du6i9rvk/input.p',i_0_197) ).

cnf(i_0_198,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-du6i9rvk/input.p',i_0_198) ).

cnf(i_0_196,negated_conjecture,
    neq(esk49_0,nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-du6i9rvk/input.p',i_0_196) ).

cnf(i_0_193,negated_conjecture,
    ( esk50_0 = X1
    | hd(esk51_0) != X2
    | cons(X2,nil) != X1
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ neq(nil,esk51_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-du6i9rvk/input.p',i_0_193) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-du6i9rvk/input.p',i_0_41) ).

cnf(i_0_201,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-du6i9rvk/input.p',i_0_201) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-du6i9rvk/input.p',i_0_44) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-du6i9rvk/input.p',i_0_43) ).

cnf(i_0_54,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-du6i9rvk/input.p',i_0_54) ).

cnf(i_0_42,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-du6i9rvk/input.p',i_0_42) ).

cnf(c_0_213,negated_conjecture,
    ( esk48_0 != X1
    | hd(esk49_0) != X2
    | cons(X2,nil) != X1
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ neq(nil,esk49_0)
    | ~ neq(esk51_0,nil) ),
    i_0_191 ).

cnf(c_0_214,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_197 ).

cnf(c_0_215,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_198 ).

cnf(c_0_216,negated_conjecture,
    neq(esk49_0,nil),
    i_0_196 ).

cnf(c_0_217,negated_conjecture,
    ( esk50_0 = X1
    | hd(esk51_0) != X2
    | cons(X2,nil) != X1
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ neq(nil,esk51_0)
    | ~ neq(esk51_0,nil) ),
    i_0_193 ).

cnf(c_0_218,negated_conjecture,
    ( cons(X1,nil) != X2
    | hd(esk49_0) != X1
    | esk50_0 != X2
    | ~ neq(nil,esk49_0)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_214]),c_0_215]),c_0_216])]) ).

cnf(c_0_219,negated_conjecture,
    ( cons(X1,nil) != X2
    | hd(esk49_0) != X1
    | ~ neq(nil,esk49_0)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_215]),c_0_215]),c_0_216]),c_0_215])]),c_0_218]) ).

cnf(c_0_220,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_221,negated_conjecture,
    ssList(esk49_0),
    i_0_201 ).

cnf(c_0_222,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_223,plain,
    ( esk49_0 = nil
    | cons(X1,nil) != X2
    | hd(esk49_0) != X1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221]),c_0_222])]) ).

cnf(c_0_224,plain,
    ( esk49_0 = nil
    | hd(esk49_0) != X1
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil)) ),
    inference(er,[status(thm)],[c_0_223]) ).

cnf(c_0_225,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_226,plain,
    ( esk49_0 = nil
    | hd(esk49_0) != X1
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_222])]) ).

cnf(c_0_227,plain,
    ( esk49_0 = nil
    | ~ ssItem(hd(esk49_0)) ),
    inference(er,[status(thm)],[c_0_226]) ).

cnf(c_0_228,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    i_0_54 ).

cnf(c_0_229,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    i_0_42 ).

cnf(c_0_230,plain,
    esk49_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_221])]) ).

cnf(c_0_231,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_229]) ).

cnf(c_0_232,negated_conjecture,
    neq(nil,nil),
    inference(rw,[status(thm)],[c_0_216,c_0_230]) ).

cnf(c_0_233,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_222])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC013+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 12 16:23:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.73/2.42  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.73/2.42  # Version: 2.1pre011
% 7.73/2.42  # Preprocessing time       : 0.013 s
% 7.73/2.42  
% 7.73/2.42  # Proof found!
% 7.73/2.42  # SZS status Theorem
% 7.73/2.42  # SZS output start CNFRefutation
% See solution above
% 7.73/2.42  # Proof object total steps             : 32
% 7.73/2.42  # Proof object clause steps            : 21
% 7.73/2.42  # Proof object formula steps           : 11
% 7.73/2.42  # Proof object conjectures             : 15
% 7.73/2.42  # Proof object clause conjectures      : 9
% 7.73/2.42  # Proof object formula conjectures     : 6
% 7.73/2.42  # Proof object initial clauses used    : 11
% 7.73/2.42  # Proof object initial formulas used   : 11
% 7.73/2.42  # Proof object generating inferences   : 6
% 7.73/2.42  # Proof object simplifying inferences  : 21
% 7.73/2.42  # Training examples: 0 positive, 0 negative
% 7.73/2.42  # Parsed axioms                        : 200
% 7.73/2.42  # Removed by relevancy pruning/SinE    : 0
% 7.73/2.42  # Initial clauses                      : 200
% 7.73/2.42  # Removed in clause preprocessing      : 0
% 7.73/2.42  # Initial clauses in saturation        : 200
% 7.73/2.42  # Processed clauses                    : 231
% 7.73/2.42  # ...of these trivial                  : 5
% 7.73/2.42  # ...subsumed                          : 12
% 7.73/2.42  # ...remaining for further processing  : 214
% 7.73/2.42  # Other redundant clauses eliminated   : 85
% 7.73/2.42  # Clauses deleted for lack of memory   : 0
% 7.73/2.42  # Backward-subsumed                    : 4
% 7.73/2.42  # Backward-rewritten                   : 6
% 7.73/2.42  # Generated clauses                    : 875
% 7.73/2.42  # ...of the previous two non-trivial   : 718
% 7.73/2.42  # Contextual simplify-reflections      : 7
% 7.73/2.42  # Paramodulations                      : 770
% 7.73/2.42  # Factorizations                       : 0
% 7.73/2.42  # Equation resolutions                 : 105
% 7.73/2.42  # Propositional unsat checks           : 0
% 7.73/2.42  # Propositional unsat check successes  : 0
% 7.73/2.42  # Current number of processed clauses  : 198
% 7.73/2.42  #    Positive orientable unit clauses  : 15
% 7.73/2.42  #    Positive unorientable unit clauses: 0
% 7.73/2.42  #    Negative unit clauses             : 2
% 7.73/2.42  #    Non-unit-clauses                  : 181
% 7.73/2.42  # Current number of unprocessed clauses: 681
% 7.73/2.42  # ...number of literals in the above   : 5178
% 7.73/2.42  # Current number of archived formulas  : 0
% 7.73/2.42  # Current number of archived clauses   : 10
% 7.73/2.42  # Clause-clause subsumption calls (NU) : 8029
% 7.73/2.42  # Rec. Clause-clause subsumption calls : 2025
% 7.73/2.42  # Non-unit clause-clause subsumptions  : 23
% 7.73/2.42  # Unit Clause-clause subsumption calls : 95
% 7.73/2.42  # Rewrite failures with RHS unbound    : 0
% 7.73/2.42  # BW rewrite match attempts            : 1
% 7.73/2.42  # BW rewrite match successes           : 1
% 7.73/2.42  # Condensation attempts                : 0
% 7.73/2.42  # Condensation successes               : 0
% 7.73/2.42  # Termbank termtop insertions          : 23007
% 7.73/2.42  
% 7.73/2.42  # -------------------------------------------------
% 7.73/2.42  # User time                : 0.028 s
% 7.73/2.42  # System time              : 0.004 s
% 7.73/2.42  # Total time               : 0.032 s
% 7.73/2.42  # ...preprocessing         : 0.013 s
% 7.73/2.42  # ...main loop             : 0.019 s
% 7.73/2.42  # Maximum resident set size: 7136 pages
% 7.73/2.42  
%------------------------------------------------------------------------------