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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP019^4 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 : Mon May 20 22:15:43 EDT 2024

% Result   : Theorem 10.39s 9.02s
% Output   : CNFRefutation 10.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (   3 unt;   6 typ;   0 def)
%            Number of atoms       :   17 (  16 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   42 (  10   ~;   3   |;   2   &;  24   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   2 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    5 (   0   ^   5   !;   0   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    mono_2Etyop_2Enum_2Enum: $tType ).

thf(decl_sort2,type,
    mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: $tType ).

thf(decl_210,type,
    mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum ).

thf(decl_10213,type,
    mono_2Ec_2Ecomplex_2Ecomplex__inv: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).

thf(decl_10216,type,
    mono_2Ec_2Ecomplex_2Ecomplex__of__num: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).

thf(decl_10226,type,
    esk1_0: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).

thf(thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
    ! [X42872: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
      ( ( X42872
       != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
     => ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X42872 )
       != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).

thf(thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,axiom,
    ! [X42871: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
      ( ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X42871 )
        = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
    <=> ( X42871
        = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).

thf(c_0_2,negated_conjecture,
    ~ ! [X42872: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
        ( ( X42872
         != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
       => ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X42872 )
         != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[thm_2Ecomplex_2ECOMPLEX__INV__NZ])]) ).

thf(c_0_3,plain,
    ! [X43023: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
      ( ( ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X43023 )
         != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
        | ( X43023
          = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) )
      & ( ( X43023
         != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
        | ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X43023 )
          = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Ecomplex_2ECOMPLEX__INV__EQ__0])])]) ).

thf(c_0_4,negated_conjecture,
    ( ( esk1_0
     != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
    & ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ esk1_0 )
      = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).

thf(c_0_5,plain,
    ! [X35701: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
      ( ( X35701
        = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
      | ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X35701 )
       != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_6,negated_conjecture,
    ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ esk1_0 )
    = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_7,negated_conjecture,
    ( esk1_0
   != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(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
% 0.04/0.13  % Problem    : ITP019^4 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.04/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 18 17:13:54 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.19/0.47  Running higher-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.39/9.02  # Version: 3.1.0-ho
% 10.39/9.02  # partial match(3): HMLMSLSLSSSCHFA
% 10.39/9.02  # Preprocessing class: HMLLMLLLSSSCHFA.
% 10.39/9.02  # Scheduled 4 strats onto 8 cores with 293 seconds (2344 total)
% 10.39/9.02  # Starting new_ho_2 with 1172s (4) cores
% 10.39/9.02  # Starting sh3l with 586s (2) cores
% 10.39/9.02  # Starting lpo5_rw_fix with 293s (1) cores
% 10.39/9.02  # Starting full_lambda_7 with 293s (1) cores
% 10.39/9.02  # sh3l with pid 26529 completed with status 0
% 10.39/9.02  # Result found by sh3l
% 10.39/9.02  # partial match(3): HMLMSLSLSSSCHFA
% 10.39/9.02  # Preprocessing class: HMLLMLLLSSSCHFA.
% 10.39/9.02  # Scheduled 4 strats onto 8 cores with 293 seconds (2344 total)
% 10.39/9.02  # Starting new_ho_2 with 1172s (4) cores
% 10.39/9.02  # Starting sh3l with 586s (2) cores
% 10.39/9.02  # SinE strategy is gf120_gu_RUU_F100_L01000
% 10.39/9.02  # Search class: HGUPM-FFMM21-MHFFFFNN
% 10.39/9.02  # partial match(3): FGUNM-FFMM21-MFFFFFNN
% 10.39/9.02  # Scheduled 6 strats onto 2 cores with 586 seconds (586 total)
% 10.39/9.02  # Starting SAT001_MinMin_p005000_rr_RG with 317s (1) cores
% 10.39/9.02  # Starting sh3l with 59s (1) cores
% 10.39/9.02  # SAT001_MinMin_p005000_rr_RG with pid 26532 completed with status 0
% 10.39/9.02  # Result found by SAT001_MinMin_p005000_rr_RG
% 10.39/9.02  # partial match(3): HMLMSLSLSSSCHFA
% 10.39/9.02  # Preprocessing class: HMLLMLLLSSSCHFA.
% 10.39/9.02  # Scheduled 4 strats onto 8 cores with 293 seconds (2344 total)
% 10.39/9.02  # Starting new_ho_2 with 1172s (4) cores
% 10.39/9.02  # Starting sh3l with 586s (2) cores
% 10.39/9.02  # SinE strategy is gf120_gu_RUU_F100_L01000
% 10.39/9.02  # Search class: HGUPM-FFMM21-MHFFFFNN
% 10.39/9.02  # partial match(3): FGUNM-FFMM21-MFFFFFNN
% 10.39/9.02  # Scheduled 6 strats onto 2 cores with 586 seconds (586 total)
% 10.39/9.02  # Starting SAT001_MinMin_p005000_rr_RG with 317s (1) cores
% 10.39/9.02  # Preprocessing time       : 0.039 s
% 10.39/9.02  # Presaturation interreduction done
% 10.39/9.02  
% 10.39/9.02  # Proof found!
% 10.39/9.02  # SZS status Theorem
% 10.39/9.02  # SZS output start CNFRefutation
% See solution above
% 10.39/9.02  # Parsed axioms                        : 63455
% 10.39/9.02  # Removed by relevancy pruning/SinE    : 63378
% 10.39/9.02  # Initial clauses                      : 98
% 10.39/9.02  # Removed in clause preprocessing      : 6
% 10.39/9.02  # Initial clauses in saturation        : 92
% 10.39/9.02  # Processed clauses                    : 103
% 10.39/9.02  # ...of these trivial                  : 8
% 10.39/9.02  # ...subsumed                          : 4
% 10.39/9.02  # ...remaining for further processing  : 91
% 10.39/9.02  # Other redundant clauses eliminated   : 17
% 10.39/9.02  # Clauses deleted for lack of memory   : 0
% 10.39/9.02  # Backward-subsumed                    : 0
% 10.39/9.02  # Backward-rewritten                   : 4
% 10.39/9.02  # Generated clauses                    : 18
% 10.39/9.02  # ...of the previous two non-redundant : 3
% 10.39/9.02  # ...aggressively subsumed             : 0
% 10.39/9.02  # Contextual simplify-reflections      : 0
% 10.39/9.02  # Paramodulations                      : 1
% 10.39/9.02  # Factorizations                       : 0
% 10.39/9.02  # NegExts                              : 0
% 10.39/9.02  # Equation resolutions                 : 17
% 10.39/9.02  # Disequality decompositions           : 0
% 10.39/9.02  # Total rewrite steps                  : 59
% 10.39/9.02  # ...of those cached                   : 27
% 10.39/9.02  # Propositional unsat checks           : 0
% 10.39/9.02  #    Propositional check models        : 0
% 10.39/9.02  #    Propositional check unsatisfiable : 0
% 10.39/9.02  #    Propositional clauses             : 0
% 10.39/9.02  #    Propositional clauses after purity: 0
% 10.39/9.02  #    Propositional unsat core size     : 0
% 10.39/9.02  #    Propositional preprocessing time  : 0.000
% 10.39/9.02  #    Propositional encoding time       : 0.000
% 10.39/9.02  #    Propositional solver time         : 0.000
% 10.39/9.02  #    Success case prop preproc time    : 0.000
% 10.39/9.02  #    Success case prop encoding time   : 0.000
% 10.39/9.02  #    Success case prop solver time     : 0.000
% 10.39/9.02  # Current number of processed clauses  : 8
% 10.39/9.02  #    Positive orientable unit clauses  : 4
% 10.39/9.02  #    Positive unorientable unit clauses: 0
% 10.39/9.02  #    Negative unit clauses             : 3
% 10.39/9.02  #    Non-unit-clauses                  : 1
% 10.39/9.02  # Current number of unprocessed clauses: 54
% 10.39/9.02  # ...number of literals in the above   : 74
% 10.39/9.02  # Current number of archived formulas  : 0
% 10.39/9.02  # Current number of archived clauses   : 66
% 10.39/9.02  # Clause-clause subsumption calls (NU) : 29
% 10.39/9.02  # Rec. Clause-clause subsumption calls : 29
% 10.39/9.02  # Non-unit clause-clause subsumptions  : 4
% 10.39/9.02  # Unit Clause-clause subsumption calls : 1
% 10.39/9.02  # Rewrite failures with RHS unbound    : 0
% 10.39/9.02  # BW rewrite match attempts            : 36
% 10.39/9.02  # BW rewrite match successes           : 31
% 10.39/9.02  # Condensation attempts                : 0
% 10.39/9.02  # Condensation successes               : 0
% 10.39/9.02  # Termbank termtop insertions          : 2091175
% 10.39/9.02  # Search garbage collected termcells   : 445412
% 10.39/9.02  
% 10.39/9.02  # -------------------------------------------------
% 10.39/9.02  # User time                : 0.367 s
% 10.39/9.02  # System time              : 0.140 s
% 10.39/9.02  # Total time               : 0.506 s
% 10.39/9.02  # Maximum resident set size: 123052 pages
% 10.39/9.02  
% 10.39/9.02  # -------------------------------------------------
% 10.39/9.02  # User time                : 8.152 s
% 10.39/9.02  # System time              : 0.369 s
% 10.39/9.02  # Total time               : 8.521 s
% 10.39/9.02  # Maximum resident set size: 105760 pages
% 10.39/9.02  % E---3.1 exiting
% 10.39/9.02  % E exiting
%------------------------------------------------------------------------------