TSTP Solution File: ITP015+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : ITP015+4 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% 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 : Sat Jul 16 22:45:58 EDT 2022

% Result   : Theorem 2.79s 5.97s
% Output   : CNFRefutation 2.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   12 (   1 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thm_2Einteger__word_2Ei2w__0,conjecture,
    ! [X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',thm_2Einteger__word_2Ei2w__0) ).

fof(thm_2Einteger__word_2Ei2w__w2i,axiom,
    ! [X1,X12342] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X12342))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X12342),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',thm_2Einteger__word_2Ei2w__w2i) ).

fof(thm_2Einteger__word_2Eword__0__w2i,axiom,
    ! [X1] : s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',thm_2Einteger__word_2Eword__0__w2i) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    inference(assume_negation,[status(cth)],[thm_2Einteger__word_2Ei2w__0]) ).

fof(c_0_4,plain,
    ! [X12343,X12344] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X12343),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X12343),X12344))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X12343),X12344),
    inference(variable_rename,[status(thm)],[thm_2Einteger__word_2Ei2w__w2i]) ).

fof(c_0_5,plain,
    ! [X2] : s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    inference(variable_rename,[status(thm)],[thm_2Einteger__word_2Eword__0__w2i]) ).

fof(c_0_6,negated_conjecture,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_7,plain,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X2))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X2),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ITP015+4 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.11/0.13  % Command  : run_ET %s %d
% 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 : Thu Jun  2 12:14:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 2.79/5.97  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 2.79/5.97  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 2.79/5.97  # Preprocessing time       : 1.434 s
% 2.79/5.97  
% 2.79/5.97  # Proof found!
% 2.79/5.97  # SZS status Theorem
% 2.79/5.97  # SZS output start CNFRefutation
% See solution above
% 2.79/5.97  # Proof object total steps             : 12
% 2.79/5.97  # Proof object clause steps            : 5
% 2.79/5.97  # Proof object formula steps           : 7
% 2.79/5.97  # Proof object conjectures             : 5
% 2.79/5.97  # Proof object clause conjectures      : 2
% 2.79/5.97  # Proof object formula conjectures     : 3
% 2.79/5.97  # Proof object initial clauses used    : 3
% 2.79/5.97  # Proof object initial formulas used   : 3
% 2.79/5.97  # Proof object generating inferences   : 1
% 2.79/5.97  # Proof object simplifying inferences  : 2
% 2.79/5.97  # Training examples: 0 positive, 0 negative
% 2.79/5.97  # Parsed axioms                        : 19036
% 2.79/5.97  # Removed by relevancy pruning/SinE    : 18535
% 2.79/5.97  # Initial clauses                      : 1430
% 2.79/5.97  # Removed in clause preprocessing      : 704
% 2.79/5.97  # Initial clauses in saturation        : 726
% 2.79/5.97  # Processed clauses                    : 1864
% 2.79/5.97  # ...of these trivial                  : 57
% 2.79/5.97  # ...subsumed                          : 1237
% 2.79/5.97  # ...remaining for further processing  : 570
% 2.79/5.97  # Other redundant clauses eliminated   : 0
% 2.79/5.97  # Clauses deleted for lack of memory   : 0
% 2.79/5.97  # Backward-subsumed                    : 7
% 2.79/5.97  # Backward-rewritten                   : 15
% 2.79/5.97  # Generated clauses                    : 43381
% 2.79/5.97  # ...of the previous two non-trivial   : 37883
% 2.79/5.97  # Contextual simplify-reflections      : 12
% 2.79/5.97  # Paramodulations                      : 43231
% 2.79/5.97  # Factorizations                       : 8
% 2.79/5.97  # Equation resolutions                 : 142
% 2.79/5.97  # Current number of processed clauses  : 548
% 2.79/5.97  #    Positive orientable unit clauses  : 62
% 2.79/5.97  #    Positive unorientable unit clauses: 18
% 2.79/5.97  #    Negative unit clauses             : 26
% 2.79/5.97  #    Non-unit-clauses                  : 442
% 2.79/5.97  # Current number of unprocessed clauses: 34668
% 2.79/5.97  # ...number of literals in the above   : 98201
% 2.79/5.97  # Current number of archived formulas  : 0
% 2.79/5.97  # Current number of archived clauses   : 22
% 2.79/5.97  # Clause-clause subsumption calls (NU) : 53382
% 2.79/5.97  # Rec. Clause-clause subsumption calls : 32217
% 2.79/5.97  # Non-unit clause-clause subsumptions  : 668
% 2.79/5.97  # Unit Clause-clause subsumption calls : 1882
% 2.79/5.97  # Rewrite failures with RHS unbound    : 157
% 2.79/5.97  # BW rewrite match attempts            : 2049
% 2.79/5.97  # BW rewrite match successes           : 111
% 2.79/5.97  # Condensation attempts                : 0
% 2.79/5.97  # Condensation successes               : 0
% 2.79/5.97  # Termbank termtop insertions          : 3165875
% 2.79/5.97  
% 2.79/5.97  # -------------------------------------------------
% 2.79/5.97  # User time                : 2.013 s
% 2.79/5.97  # System time              : 0.064 s
% 2.79/5.97  # Total time               : 2.077 s
% 2.79/5.97  # Maximum resident set size: 92232 pages
% 2.79/25.95  eprover: CPU time limit exceeded, terminating
% 2.79/25.95  eprover: CPU time limit exceeded, terminating
% 2.79/25.97  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/25.97  eprover: No such file or directory
% 2.79/25.97  eprover: CPU time limit exceeded, terminating
% 2.79/25.98  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/25.98  eprover: No such file or directory
% 2.79/25.98  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/25.98  eprover: No such file or directory
% 2.79/25.99  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/25.99  eprover: No such file or directory
% 2.79/25.99  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/25.99  eprover: No such file or directory
% 2.79/26.00  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/26.00  eprover: No such file or directory
% 2.79/26.01  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/26.01  eprover: No such file or directory
% 2.79/26.01  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/26.01  eprover: No such file or directory
% 2.79/26.02  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/26.02  eprover: No such file or directory
% 2.79/26.02  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/26.02  eprover: No such file or directory
% 2.79/26.03  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/26.03  eprover: No such file or directory
% 2.79/26.03  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/26.03  eprover: No such file or directory
% 2.79/26.03  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/26.03  eprover: No such file or directory
% 2.79/26.04  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.79/26.04  eprover: No such file or directory
% 2.79/26.04  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/26.04  eprover: No such file or directory
% 2.79/26.04  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.79/26.04  eprover: No such file or directory
% 2.79/26.04  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/26.04  eprover: No such file or directory
% 2.79/26.04  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.79/26.04  eprover: No such file or directory
% 2.79/26.05  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/26.05  eprover: No such file or directory
% 2.79/26.05  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.79/26.05  eprover: No such file or directory
% 2.79/26.05  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/26.05  eprover: No such file or directory
% 2.79/26.05  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.79/26.05  eprover: No such file or directory
% 2.79/26.05  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/26.05  eprover: No such file or directory
% 2.79/26.05  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.79/26.05  eprover: No such file or directory
% 2.79/26.06  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/26.06  eprover: No such file or directory
% 2.79/26.06  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.79/26.06  eprover: No such file or directory
% 2.79/26.06  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/26.06  eprover: No such file or directory
% 2.79/26.06  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.79/26.06  eprover: No such file or directory
% 2.79/26.07  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.79/26.07  eprover: No such file or directory
% 2.79/26.07  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/26.07  eprover: No such file or directory
% 2.79/26.07  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.79/26.07  eprover: No such file or directory
% 2.79/26.07  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.79/26.07  eprover: No such file or directory
% 2.79/26.07  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 2.79/26.07  eprover: No such file or directory
%------------------------------------------------------------------------------