TSTP Solution File: ITP019+4 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP019+4 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.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  : 300s
% DateTime : Sat May  4 08:06:34 EDT 2024

% Result   : Theorem 17.84s 16.84s
% Output   : CNFRefutation 17.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   7   ~;   0   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    7 (   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   :    5 (   0 sgn   4   !;   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/tmp/tmp.7mzpQnqn9R/E---3.1_32657.p',thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).

fof(thm_2Ecomplex_2ECOMPLEX__INV__INV,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),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),X75),
    file('/export/starexec/sandbox2/tmp/tmp.7mzpQnqn9R/E---3.1_32657.p',thm_2Ecomplex_2ECOMPLEX__INV__INV) ).

fof(thm_2Ecomplex_2ECOMPLEX__INV__0,axiom,
    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),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__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    file('/export/starexec/sandbox2/tmp/tmp.7mzpQnqn9R/E---3.1_32657.p',thm_2Ecomplex_2ECOMPLEX__INV__0) ).

fof(c_0_3,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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[thm_2Ecomplex_2ECOMPLEX__INV__NZ])]) ).

fof(c_0_4,plain,
    ! [X14943] : 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),c_2Ecomplex_2Ecomplex__inv_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X14943))))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X14943),
    inference(variable_rename,[status(thm)],[thm_2Ecomplex_2ECOMPLEX__INV__INV]) ).

fof(c_0_5,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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

cnf(c_0_6,plain,
    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),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),X1),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,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_5]) ).

cnf(c_0_8,plain,
    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),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__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
    inference(split_conjunct,[status(thm)],[thm_2Ecomplex_2ECOMPLEX__INV__0]) ).

cnf(c_0_9,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_5]) ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 3.39/3.43  % Problem    : ITP019+4 : TPTP v8.1.2. Bugfixed v7.5.0.
% 3.39/3.45  % Command    : run_E %s %d THM
% 3.46/3.66  % Computer : n007.cluster.edu
% 3.46/3.66  % Model    : x86_64 x86_64
% 3.46/3.66  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 3.46/3.66  % Memory   : 8042.1875MB
% 3.46/3.66  % OS       : Linux 3.10.0-693.el7.x86_64
% 3.46/3.66  % CPULimit   : 300
% 3.46/3.66  % WCLimit    : 300
% 3.46/3.66  % DateTime   : Fri May  3 12:43:40 EDT 2024
% 3.46/3.66  % CPUTime    : 
% 13.89/14.06  Running first-order theorem proving
% 13.89/14.06  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.7mzpQnqn9R/E---3.1_32657.p
% 17.84/16.84  # Version: 3.1.0
% 17.84/16.84  # Preprocessing class: FMLLSMLLSSSNFFN.
% 17.84/16.84  # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 17.84/16.84  # Starting new_bool_3 with 894s (3) cores
% 17.84/16.84  # Starting new_bool_1 with 894s (3) cores
% 17.84/16.84  # Starting sh5l with 298s (1) cores
% 17.84/16.84  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 298s (1) cores
% 17.84/16.84  # new_bool_1 with pid 990 completed with status 0
% 17.84/16.84  # Result found by new_bool_1
% 17.84/16.84  # Preprocessing class: FMLLSMLLSSSNFFN.
% 17.84/16.84  # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 17.84/16.84  # Starting new_bool_3 with 894s (3) cores
% 17.84/16.84  # Starting new_bool_1 with 894s (3) cores
% 17.84/16.84  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 17.84/16.84  # Search class: FGUSM-FSLM33-DFFFFFNN
% 17.84/16.84  # Scheduled 5 strats onto 3 cores with 894 seconds (894 total)
% 17.84/16.84  # Starting SAT001_MinMin_p005000_rr_RG with 447s (1) cores
% 17.84/16.84  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 112s (1) cores
% 17.84/16.84  # Starting new_bool_3 with 112s (1) cores
% 17.84/16.84  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 996 completed with status 0
% 17.84/16.84  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 17.84/16.84  # Preprocessing class: FMLLSMLLSSSNFFN.
% 17.84/16.84  # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 17.84/16.84  # Starting new_bool_3 with 894s (3) cores
% 17.84/16.84  # Starting new_bool_1 with 894s (3) cores
% 17.84/16.84  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 17.84/16.84  # Search class: FGUSM-FSLM33-DFFFFFNN
% 17.84/16.84  # Scheduled 5 strats onto 3 cores with 894 seconds (894 total)
% 17.84/16.84  # Starting SAT001_MinMin_p005000_rr_RG with 447s (1) cores
% 17.84/16.84  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 112s (1) cores
% 17.84/16.84  # Preprocessing time       : 0.039 s
% 17.84/16.84  # Presaturation interreduction done
% 17.84/16.84  
% 17.84/16.84  # Proof found!
% 17.84/16.84  # SZS status Theorem
% 17.84/16.84  # SZS output start CNFRefutation
% See solution above
% 17.84/16.84  # Parsed axioms                        : 23399
% 17.84/16.84  # Removed by relevancy pruning/SinE    : 22862
% 17.84/16.84  # Initial clauses                      : 1549
% 17.84/16.84  # Removed in clause preprocessing      : 865
% 17.84/16.84  # Initial clauses in saturation        : 684
% 17.84/16.84  # Processed clauses                    : 699
% 17.84/16.84  # ...of these trivial                  : 6
% 17.84/16.84  # ...subsumed                          : 302
% 17.84/16.84  # ...remaining for further processing  : 391
% 17.84/16.84  # Other redundant clauses eliminated   : 0
% 17.84/16.84  # Clauses deleted for lack of memory   : 0
% 17.84/16.84  # Backward-subsumed                    : 0
% 17.84/16.84  # Backward-rewritten                   : 5
% 17.84/16.84  # Generated clauses                    : 13
% 17.84/16.84  # ...of the previous two non-redundant : 4
% 17.84/16.84  # ...aggressively subsumed             : 0
% 17.84/16.84  # Contextual simplify-reflections      : 0
% 17.84/16.84  # Paramodulations                      : 13
% 17.84/16.84  # Factorizations                       : 0
% 17.84/16.84  # NegExts                              : 0
% 17.84/16.84  # Equation resolutions                 : 0
% 17.84/16.84  # Disequality decompositions           : 0
% 17.84/16.84  # Total rewrite steps                  : 51
% 17.84/16.84  # ...of those cached                   : 27
% 17.84/16.84  # Propositional unsat checks           : 0
% 17.84/16.84  #    Propositional check models        : 0
% 17.84/16.84  #    Propositional check unsatisfiable : 0
% 17.84/16.84  #    Propositional clauses             : 0
% 17.84/16.84  #    Propositional clauses after purity: 0
% 17.84/16.84  #    Propositional unsat core size     : 0
% 17.84/16.84  #    Propositional preprocessing time  : 0.000
% 17.84/16.84  #    Propositional encoding time       : 0.000
% 17.84/16.84  #    Propositional solver time         : 0.000
% 17.84/16.84  #    Success case prop preproc time    : 0.000
% 17.84/16.84  #    Success case prop encoding time   : 0.000
% 17.84/16.84  #    Success case prop solver time     : 0.000
% 17.84/16.84  # Current number of processed clauses  : 11
% 17.84/16.84  #    Positive orientable unit clauses  : 7
% 17.84/16.84  #    Positive unorientable unit clauses: 0
% 17.84/16.84  #    Negative unit clauses             : 3
% 17.84/16.84  #    Non-unit-clauses                  : 1
% 17.84/16.84  # Current number of unprocessed clauses: 364
% 17.84/16.84  # ...number of literals in the above   : 882
% 17.84/16.84  # Current number of archived formulas  : 0
% 17.84/16.84  # Current number of archived clauses   : 380
% 17.84/16.84  # Clause-clause subsumption calls (NU) : 45220
% 17.84/16.84  # Rec. Clause-clause subsumption calls : 27205
% 17.84/16.84  # Non-unit clause-clause subsumptions  : 299
% 17.84/16.84  # Unit Clause-clause subsumption calls : 0
% 17.84/16.84  # Rewrite failures with RHS unbound    : 0
% 17.84/16.84  # BW rewrite match attempts            : 330
% 17.84/16.84  # BW rewrite match successes           : 39
% 17.84/16.84  # Condensation attempts                : 0
% 17.84/16.84  # Condensation successes               : 0
% 17.84/16.84  # Termbank termtop insertions          : 1501739
% 17.84/16.84  # Search garbage collected termcells   : 375228
% 17.84/16.84  
% 17.84/16.84  # -------------------------------------------------
% 17.84/16.84  # User time                : 0.434 s
% 17.84/16.84  # System time              : 0.089 s
% 17.84/16.84  # Total time               : 0.523 s
% 17.84/16.84  # Maximum resident set size: 68916 pages
% 17.84/16.84  
% 17.84/16.84  # -------------------------------------------------
% 17.84/16.84  # User time                : 2.815 s
% 17.84/16.84  # System time              : 0.214 s
% 17.84/16.84  # Total time               : 3.029 s
% 17.84/16.84  # Maximum resident set size: 59256 pages
% 17.84/16.84  % E---3.1 exiting
% 17.84/16.84  % E exiting
%------------------------------------------------------------------------------