TSTP Solution File: ITP019+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : ITP019+4 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% 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 : Sat Jul 16 22:46:05 EDT 2022

% Result   : Theorem 3.22s 5.40s
% Output   : CNFRefutation 3.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (  10   ~;   3   |;   2   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   1 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
    ! [X75] :
      ( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X75) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
     => s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X75))) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).

fof(thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,axiom,
    ! [X75] :
      ( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X75))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
    <=> s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X75) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X75] :
        ( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X75) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
       => s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X75))) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ),
    inference(assume_negation,[status(cth)],[thm_2Ecomplex_2ECOMPLEX__INV__NZ]) ).

fof(c_0_3,plain,
    ! [X76,X76] :
      ( ( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X76))) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
        | s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X76) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) )
      & ( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X76) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
        | s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X76))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Ecomplex_2ECOMPLEX__INV__EQ__0])])])]) ).

fof(c_0_4,negated_conjecture,
    ( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),esk1_0) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
    & s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),esk1_0))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_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_2])])]) ).

cnf(c_0_5,plain,
    ( s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X1) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
    | s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X1))) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),esk1_0))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),esk1_0) != s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ecomplex_2Ecomplex__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : ITP019+4 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.12/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n019.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 : Sat Jun  4 02:49:57 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 3.22/5.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 3.22/5.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 3.22/5.40  # Preprocessing time       : 1.633 s
% 3.22/5.40  
% 3.22/5.40  # Proof found!
% 3.22/5.40  # SZS status Theorem
% 3.22/5.40  # SZS output start CNFRefutation
% See solution above
% 3.22/5.40  # Proof object total steps             : 9
% 3.22/5.40  # Proof object clause steps            : 4
% 3.22/5.40  # Proof object formula steps           : 5
% 3.22/5.40  # Proof object conjectures             : 6
% 3.22/5.40  # Proof object clause conjectures      : 3
% 3.22/5.40  # Proof object formula conjectures     : 3
% 3.22/5.40  # Proof object initial clauses used    : 3
% 3.22/5.40  # Proof object initial formulas used   : 2
% 3.22/5.40  # Proof object generating inferences   : 1
% 3.22/5.40  # Proof object simplifying inferences  : 1
% 3.22/5.40  # Training examples: 0 positive, 0 negative
% 3.22/5.40  # Parsed axioms                        : 23399
% 3.22/5.40  # Removed by relevancy pruning/SinE    : 23298
% 3.22/5.40  # Initial clauses                      : 292
% 3.22/5.40  # Removed in clause preprocessing      : 192
% 3.22/5.40  # Initial clauses in saturation        : 100
% 3.22/5.40  # Processed clauses                    : 4
% 3.22/5.40  # ...of these trivial                  : 0
% 3.22/5.40  # ...subsumed                          : 0
% 3.22/5.40  # ...remaining for further processing  : 4
% 3.22/5.40  # Other redundant clauses eliminated   : 0
% 3.22/5.40  # Clauses deleted for lack of memory   : 0
% 3.22/5.40  # Backward-subsumed                    : 0
% 3.22/5.40  # Backward-rewritten                   : 0
% 3.22/5.40  # Generated clauses                    : 2
% 3.22/5.40  # ...of the previous two non-trivial   : 1
% 3.22/5.40  # Contextual simplify-reflections      : 0
% 3.22/5.40  # Paramodulations                      : 2
% 3.22/5.40  # Factorizations                       : 0
% 3.22/5.40  # Equation resolutions                 : 0
% 3.22/5.40  # Current number of processed clauses  : 4
% 3.22/5.40  #    Positive orientable unit clauses  : 2
% 3.22/5.40  #    Positive unorientable unit clauses: 0
% 3.22/5.40  #    Negative unit clauses             : 1
% 3.22/5.40  #    Non-unit-clauses                  : 1
% 3.22/5.40  # Current number of unprocessed clauses: 97
% 3.22/5.40  # ...number of literals in the above   : 231
% 3.22/5.40  # Current number of archived formulas  : 0
% 3.22/5.40  # Current number of archived clauses   : 0
% 3.22/5.40  # Clause-clause subsumption calls (NU) : 0
% 3.22/5.40  # Rec. Clause-clause subsumption calls : 0
% 3.22/5.40  # Non-unit clause-clause subsumptions  : 0
% 3.22/5.40  # Unit Clause-clause subsumption calls : 0
% 3.22/5.40  # Rewrite failures with RHS unbound    : 0
% 3.22/5.40  # BW rewrite match attempts            : 0
% 3.22/5.40  # BW rewrite match successes           : 0
% 3.22/5.40  # Condensation attempts                : 0
% 3.22/5.40  # Condensation successes               : 0
% 3.22/5.40  # Termbank termtop insertions          : 1388798
% 3.22/5.40  
% 3.22/5.40  # -------------------------------------------------
% 3.22/5.40  # User time                : 1.591 s
% 3.22/5.40  # System time              : 0.043 s
% 3.22/5.40  # Total time               : 1.634 s
% 3.22/5.40  # Maximum resident set size: 78536 pages
% 3.22/26.39  eprover: CPU time limit exceeded, terminating
% 3.22/26.40  eprover: CPU time limit exceeded, terminating
% 3.22/26.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.22/26.44  eprover: No such file or directory
% 3.22/26.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.22/26.45  eprover: No such file or directory
% 3.22/26.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 3.22/26.45  eprover: No such file or directory
% 3.22/26.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.22/26.45  eprover: No such file or directory
% 3.22/26.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 3.22/26.46  eprover: No such file or directory
% 3.22/26.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.22/26.46  eprover: No such file or directory
% 3.22/26.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.22/26.46  eprover: No such file or directory
% 3.22/26.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 3.22/26.46  eprover: No such file or directory
% 3.22/26.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.22/26.46  eprover: No such file or directory
% 3.22/26.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 3.22/26.47  eprover: No such file or directory
% 3.22/26.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.22/26.47  eprover: No such file or directory
% 3.22/26.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 3.22/26.47  eprover: No such file or directory
% 3.22/26.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.22/26.47  eprover: No such file or directory
% 3.22/26.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.22/26.48  eprover: No such file or directory
% 3.22/26.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 3.22/26.48  eprover: No such file or directory
% 3.22/26.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.22/26.48  eprover: No such file or directory
% 3.22/26.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 3.22/26.49  eprover: No such file or directory
% 3.22/26.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.22/26.49  eprover: No such file or directory
% 3.22/26.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 3.22/26.49  eprover: No such file or directory
% 3.22/26.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 3.22/26.50  eprover: No such file or directory
% 3.22/26.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 3.22/26.50  eprover: No such file or directory
% 3.22/26.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 3.22/26.51  eprover: No such file or directory
%------------------------------------------------------------------------------