TSTP Solution File: ITP019_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ITP019_1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 : Sun Jul 17 00:33:26 EDT 2022

% Result   : Theorem 0.41s 0.59s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   28 (   7 equ)
%            Maximal formula atoms :    2 (   4 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   20 (  20 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    2 (   0 sgn   2   !;   0   ?;   2   :)

% Comments : 
%------------------------------------------------------------------------------
tff(62,axiom,
    ! [X: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
      ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(X) != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
      | ( X = mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).

tff(64,negated_conjecture,
    'SKOLEMAAAU5.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29' != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).

tff(65,negated_conjecture,
    mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1('SKOLEMAAAU5.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29') = mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).

tff(66,plain,
    ! [X: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
      ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(X) != mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1('SKOLEMAAAU5.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29') )
      | ( X = mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1('SKOLEMAAAU5.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29') ) ),
    inference('REWRITE',[status(thm)],[62,65,theory(equality)]) ).

tff(68,plain,
    'SKOLEMAAAU5.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29' != mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1('SKOLEMAAAU5.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29'),
    inference('REWRITE',[status(thm)],[64,65,theory(equality)]) ).

cnf(198,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[66,68,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ITP019_1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n017.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 : Fri Jun  3 08:34:28 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T08:34:29
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-03T08:34:29
% 0.41/0.59  
% 0.41/0.59  
% 0.41/0.59  #||
% 0.41/0.59  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.59  % SZS output start Refutation
% See solution above
% 0.41/0.59  ||#
% 0.41/0.59  
% 0.41/0.59  ; Summary of computation:
% 0.41/0.59  ;       341 formulas have been input or derived (from 34 formulas).
% 0.41/0.59  ;       198 (58%) were retained.  Of these,
% 0.41/0.59  ;            3 ( 2%) were simplified or subsumed later,
% 0.41/0.59  ;          195 (98%) are still being kept.
% 0.41/0.59  ; 
% 0.41/0.59  ; Run time in seconds excluding printing time:
% 0.41/0.59  ;     0.025  22%   Read assertion file          (1 call)
% 0.41/0.59  ;     0.003   3%   Assert                       (47 calls)
% 0.41/0.59  ;     0.018  16%   Process new row              (319 calls)
% 0.41/0.59  ;     0.007   6%   Resolution                   (66 calls)
% 0.41/0.59  ;     0.002   2%   Paramodulation               (33 calls)
% 0.41/0.59  ;     0.000   0%   Factoring                    (6 calls)
% 0.41/0.59  ;     0.008   7%   Condensing                   (249 calls)
% 0.41/0.59  ;     0.008   7%   Forward subsumption          (249 calls)
% 0.41/0.59  ;     0.001   1%   Backward subsumption         (148 calls)
% 0.41/0.59  ;     0.006   5%   Clause clause subsumption    (320 calls)
% 0.41/0.59  ;     0.007   6%   Forward simplification       (319 calls)
% 0.41/0.59  ;     0.002   2%   Backward simplification      (198 calls)
% 0.41/0.59  ;     0.000   0%   Ordering                     (653 calls)
% 0.41/0.59  ;     0.000   0%   Sortal reasoning             (51 calls)
% 0.41/0.59  ;     0.000   0%   Purity testing               (1 call)
% 0.41/0.59  ;     0.025  22%   Other
% 0.41/0.59  ;     0.112        Total
% 0.41/0.59  ;     0.112        Real time
% 0.41/0.59  ; 
% 0.41/0.59  ; Term-hash-array has 496 terms in all.
% 0.41/0.59  ; Feature-vector-row-index has 146 entries (146 at peak, 148 added, 2 deleted).
% 0.41/0.59  ; Feature-vector-row-index has 565 nodes (565 at peak, 575 added, 10 deleted).
% 0.41/0.59  ;  Retrieved 486 possibly forward subsuming rows in 249 calls.
% 0.41/0.59  ;  Retrieved 37 possibly backward subsumed rows in 148 calls.
% 0.41/0.59  ; Path-index has 512 entries (512 at peak, 515 added, 3 deleted).
% 0.41/0.59  ; Path-index has 2,148 nodes (2,148 at peak, 2,149 added, 1 deleted).
% 0.41/0.59  ; Trie-index has 512 entries (512 at peak, 515 added, 3 deleted).
% 0.41/0.59  ; Trie-index has 2,127 nodes (2,127 at peak, 2,134 added, 7 deleted).
% 0.41/0.59  ; Retrieved 12 generalization terms in 934 calls.
% 0.41/0.59  ; Retrieved 59 instance terms in 59 calls.
% 0.41/0.59  ; Retrieved 2,919 unifiable terms in 214 calls.
% 0.41/0.59  ; 
% 0.41/0.59  ; The agenda of rows to process has 2 entries:
% 0.41/0.59  ;     1 with value 7               1 with value 8
% 0.41/0.59  ; The agenda of input rows to give has 32 entries:
% 0.41/0.59  ;     1 with value 13              3 with value 25               2 with value 36
% 0.41/0.59  ;     3 with value 15              2 with value 30               2 with value 37
% 0.41/0.59  ;     4 with value 16              2 with value 32               2 with value 41
% 0.41/0.59  ;     1 with value 18              3 with value 33               1 with value 50
% 0.41/0.59  ;     1 with value 20              2 with value 35               1 with value 88
% 0.41/0.59  ;     2 with value 23
% 0.41/0.59  ; The agenda of rows to give has 129 entries:
% 0.41/0.59  ;     2 with value (4 6)          11 with value (4 13)          10 with value (4 18)
% 0.41/0.59  ;    11 with value (4 7)          12 with value (4 14)           8 with value (4 19)
% 0.41/0.59  ;     1 with value (4 8)           8 with value (4 15)           9 with value (4 20)
% 0.41/0.59  ;     8 with value (4 10)         14 with value (4 16)           8 with value (4 21)
% 0.41/0.59  ;     3 with value (4 11)         14 with value (4 17)           4 with value (4 23)
% 0.41/0.59  ;     6 with value (4 12)
% 0.41/0.59  Evaluation took:
% 0.41/0.59    0.113 seconds of real time
% 0.41/0.59    0.101682 seconds of user run time
% 0.41/0.59    0.011271 seconds of system run time
% 0.41/0.59    0 calls to %EVAL
% 0.41/0.59    0 page faults and
% 0.41/0.59    7,013,344 bytes consed.
% 0.41/0.59  :PROOF-FOUND
% 0.41/0.59  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T08:34:29
% 0.41/0.59  :PROOF-FOUND
% 0.41/0.59  * 
%------------------------------------------------------------------------------