TSTP Solution File: ITP019_2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ITP019_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %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 : Sun Jul 17 00:33:27 EDT 2022

% Result   : Theorem 0.20s 0.58s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   69 (   9 equ)
%            Maximal formula atoms :    2 (   8 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       :   59 (  59 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   7 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    2 (   0 sgn   2   !;   0   ?;   2   :)

% Comments : 
%------------------------------------------------------------------------------
tff(35,axiom,
    inj__ty_2Enum_2Enum(fo__c_2Enum_2E0) = c_2Enum_2E0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Enum_2E0) ).

tff(52,axiom,
    ! [X: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
      ( ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X))) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
      | ( X = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).

tff(53,plain,
    ! [X: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
      ( ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X))) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)) )
      | ( X = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)) ) ),
    inference('REWRITE',[status(thm)],[52,35,theory(equality)]) ).

tff(56,negated_conjecture,
    'SKOLEMAAAV4.tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal' != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).

tff(57,plain,
    'SKOLEMAAAV4.tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal' != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)),
    inference('REWRITE',[status(thm)],[56,35,theory(equality)]) ).

tff(58,negated_conjecture,
    surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal('SKOLEMAAAV4.tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal'))) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).

tff(59,plain,
    surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal('SKOLEMAAAV4.tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal'))) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)),
    inference('REWRITE',[status(thm)],[58,35,theory(equality)]) ).

cnf(202,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[53,59,57]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ITP019_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Fri Jun  3 11:46:55 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T11:46:56
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-03T11:46:56
% 0.20/0.58  
% 0.20/0.58  
% 0.20/0.58  #||
% 0.20/0.58  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.58  % SZS output start Refutation
% See solution above
% 0.20/0.58  ||#
% 0.20/0.58  
% 0.20/0.58  ; Summary of computation:
% 0.20/0.58  ;       350 formulas have been input or derived (from 51 formulas).
% 0.20/0.58  ;       202 (58%) were retained.  Of these,
% 0.20/0.58  ;            8 ( 4%) were simplified or subsumed later,
% 0.20/0.58  ;          194 (96%) are still being kept.
% 0.20/0.58  ; 
% 0.20/0.58  ; Run time in seconds:
% 0.20/0.58  ;     0.014  15%   Read assertion file          (1 call)
% 0.20/0.58  ;     0.002   2%   Assert                       (45 calls)
% 0.20/0.58  ;     0.024  26%   Process new row              (323 calls)
% 0.20/0.58  ;     0.016  17%   Resolution                   (100 calls)
% 0.20/0.58  ;     0.001   1%   Paramodulation               (50 calls)
% 0.20/0.58  ;     0.000   0%   Factoring                    (1 call)
% 0.20/0.58  ;     0.001   1%   Condensing                   (80 calls)
% 0.20/0.58  ;     0.005   5%   Forward subsumption          (80 calls)
% 0.20/0.58  ;     0.001   1%   Backward subsumption         (77 calls)
% 0.20/0.58  ;     0.000   0%   Clause clause subsumption    (7 calls)
% 0.20/0.58  ;     0.001   1%   Forward simplification       (319 calls)
% 0.20/0.58  ;     0.001   1%   Backward simplification      (198 calls)
% 0.20/0.58  ;     0.001   1%   Ordering                     (237 calls)
% 0.20/0.58  ;     0.000   0%   Sortal reasoning             (309 calls)
% 0.20/0.58  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.58  ;     0.026  28%   Other
% 0.20/0.58  ;     0.093        Total
% 0.20/0.58  ;     0.095        Real time
% 0.20/0.58  ; 
% 0.20/0.58  ; Term-hash-array has 494 terms in all.
% 0.20/0.58  ; Feature-vector-row-index has 75 entries (75 at peak, 77 added, 2 deleted).
% 0.20/0.58  ; Feature-vector-row-index has 635 nodes (635 at peak, 659 added, 24 deleted).
% 0.20/0.58  ;  Retrieved 16 possibly forward subsuming rows in 80 calls.
% 0.20/0.58  ;  Retrieved 2 possibly backward subsumed rows in 77 calls.
% 0.20/0.58  ; Path-index has 505 entries (505 at peak, 511 added, 6 deleted).
% 0.20/0.58  ; Path-index has 1,395 nodes (1,395 at peak, 1,405 added, 10 deleted).
% 0.20/0.58  ; Trie-index has 505 entries (505 at peak, 511 added, 6 deleted).
% 0.20/0.58  ; Trie-index has 1,809 nodes (1,809 at peak, 1,837 added, 28 deleted).
% 0.20/0.58  ; Retrieved 153 generalization terms in 917 calls.
% 0.20/0.58  ; Retrieved 120 instance terms in 120 calls.
% 0.20/0.58  ; Retrieved 10,318 unifiable terms in 1,137 calls.
% 0.20/0.58  ; 
% 0.20/0.58  ; The agenda of rows to process has 3 entries:
% 0.20/0.58  ;     1 with value 10              1 with value 15               1 with value 22
% 0.20/0.58  ; The agenda of input rows to give has 7 entries:
% 0.20/0.58  ;     3 with value 23              1 with value 25               1 with value 34
% 0.20/0.58  ;     1 with value 24              1 with value 26
% 0.20/0.58  ; The agenda of rows to give has 138 entries:
% 0.20/0.58  ;     3 with value (4 7)           5 with value (4 16)           3 with value (4 23)
% 0.20/0.58  ;     2 with value (4 8)           7 with value (4 17)           3 with value (4 24)
% 0.20/0.58  ;    17 with value (4 10)         18 with value (4 18)           5 with value (4 25)
% 0.20/0.58  ;     7 with value (4 11)         10 with value (4 19)           5 with value (4 26)
% 0.20/0.58  ;    19 with value (4 12)          7 with value (4 20)           1 with value (4 27)
% 0.20/0.58  ;     6 with value (4 13)          3 with value (4 21)           1 with value (4 31)
% 0.20/0.58  ;     7 with value (4 14)          4 with value (4 22)           2 with value (4 32)
% 0.20/0.58  ;     3 with value (4 15)
% 0.20/0.58  Evaluation took:
% 0.20/0.58    0.095 seconds of real time
% 0.20/0.58    0.083867 seconds of user run time
% 0.20/0.58    0.010838 seconds of system run time
% 0.20/0.58    0 calls to %EVAL
% 0.20/0.58    0 page faults and
% 0.20/0.58    4,884,264 bytes consed.
% 0.20/0.58  :PROOF-FOUND
% 0.20/0.58  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T11:46:56
% 0.20/0.58  :PROOF-FOUND
% 0.20/0.58  * 
%------------------------------------------------------------------------------