TSTP Solution File: ITP335_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 00:35:07 EDT 2022

% Result   : Theorem 0.61s 0.78s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    4 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   27 (   3 equ)
%            Maximal formula atoms :    1 (   6 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   23 (  23 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  13 usr;   6 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    5 (   0 sgn   5   !;   0   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
tff(17,negated_conjecture,
    'vector_matrix_mult$'('fun_app$d'('vec_nth$'('p_Gauss_Jordan$'('a$')),'i$'),'a$') != 'fun_app$e'('vec_nth$a'('matrix_matrix_mult$'('p_Gauss_Jordan$'('a$'),'a$')),'i$'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture2) ).

tff(22,axiom,
    ! [X: 'A_rows_vec_rows_vec$',Y: 'Rows$',Z: 'A_cols_vec_rows_vec$'] : ( 'vector_matrix_mult$'('fun_app$d'('vec_nth$'(X),Y),Z) = 'fun_app$e'('vec_nth$a'('matrix_matrix_mult$'(X,Z)),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom7) ).

tff(45,axiom,
    ! [X: 'A_rows_vec_rows_vec$',Y: 'A_cols_vec_rows_vec$'] : ( 'vec_nth$a'('matrix_matrix_mult$'(X,Y)) = 'mat_mult_row$'(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom26) ).

cnf(658,plain,
    $false,
    inference('REWRITE',[status(thm)],[17,45,22,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n027.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 11:10:51 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  * 
% 0.20/0.48  ((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 2022-06-03T11:10:51
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-03T11:10:51
% 0.47/0.65  WARNING:
% 0.47/0.65     |less$| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |reduced_row_echelon_form$a| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |less_eq$| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |reduced_row_echelon_form$| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.61/0.78  
% 0.61/0.78  
% 0.61/0.78  #||
% 0.61/0.78  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.78  % SZS output start Refutation
% See solution above
% 0.61/0.78  ||#
% 0.61/0.78  
% 0.61/0.78  ; Summary of computation:
% 0.61/0.78  ;      1126 formulas have been input or derived (from 1 formulas).
% 0.61/0.78  ;       658 (58%) were retained.  Of these,
% 0.61/0.78  ;          173 (26%) were simplified or subsumed later,
% 0.61/0.78  ;          485 (74%) are still being kept.
% 0.61/0.78  ; 
% 0.61/0.78  ; Run time in seconds:
% 0.61/0.78  ;     0.134  46%   Read assertion file          (1 call)
% 0.61/0.78  ;     0.017   6%   Assert                       (617 calls)
% 0.61/0.78  ;     0.027   9%   Process new row              (985 calls)
% 0.61/0.78  ;     0.020   7%   Condensing                   (784 calls)
% 0.61/0.78  ;     0.016   5%   Forward subsumption          (784 calls)
% 0.61/0.78  ;     0.004   1%   Backward subsumption         (431 calls)
% 0.61/0.78  ;     0.015   5%   Clause clause subsumption    (1,322 calls)
% 0.61/0.78  ;     0.024   8%   Forward simplification       (973 calls)
% 0.61/0.78  ;     0.005   2%   Backward simplification      (537 calls)
% 0.61/0.78  ;     0.001   0%   Ordering                     (167 calls)
% 0.61/0.78  ;     0.003   1%   Sortal reasoning             (3,524 calls)
% 0.61/0.78  ;     0.002   1%   Purity testing               (1 call)
% 0.61/0.78  ;     0.026   9%   Other
% 0.61/0.78  ;     0.294        Total
% 0.61/0.78  ;     0.294        Real time
% 0.61/0.78  ; 
% 0.61/0.78  ; Term-hash-array has 1,304 terms in all.
% 0.61/0.78  ; Feature-vector-row-index has 385 entries (385 at peak, 431 added, 46 deleted).
% 0.61/0.78  ; Feature-vector-row-index has 1,513 nodes (1,513 at peak, 1,649 added, 136 deleted).
% 0.61/0.78  ;  Retrieved 1,103 possibly forward subsuming rows in 784 calls.
% 0.61/0.78  ;  Retrieved 374 possibly backward subsumed rows in 431 calls.
% 0.61/0.78  ; Path-index has 1,247 entries (1,247 at peak, 1,409 added, 162 deleted).
% 0.61/0.78  ; Path-index has 3,701 nodes (3,701 at peak, 3,838 added, 137 deleted).
% 0.61/0.78  ; Trie-index has 1,247 entries (1,247 at peak, 1,409 added, 162 deleted).
% 0.61/0.78  ; Trie-index has 3,266 nodes (3,266 at peak, 3,544 added, 278 deleted).
% 0.61/0.78  ; Retrieved 1,612 generalization terms in 3,100 calls.
% 0.61/0.78  ; Retrieved 178 instance terms in 129 calls.
% 0.61/0.78  ; 
% 0.61/0.78  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.61/0.78  ;     1 with value 0
% 0.61/0.78  ; The agenda of input rows to give has 484 entries:
% 0.61/0.78  ;     5 with value 4               9 with value 15              50 with value 25
% 0.61/0.78  ;     6 with value 6              36 with value 16               5 with value 26
% 0.61/0.78  ;    10 with value 7              51 with value 17               4 with value 27
% 0.61/0.78  ;    24 with value 8               2 with value 18               5 with value 29
% 0.61/0.78  ;    13 with value 9               4 with value 19              50 with value 30
% 0.61/0.78  ;     5 with value 10             43 with value 20               3 with value 34
% 0.61/0.78  ;    36 with value 11              7 with value 21               3 with value 37
% 0.61/0.78  ;    35 with value 12             10 with value 22               1 with value 39
% 0.61/0.78  ;    43 with value 13              1 with value 23               1 with value 42
% 0.61/0.78  ;    11 with value 14             10 with value 24               1 with value 44
% 0.61/0.78  Evaluation took:
% 0.61/0.78    0.295 seconds of real time
% 0.61/0.78    0.271741 seconds of user run time
% 0.61/0.78    0.022948 seconds of system run time
% 0.61/0.78    [Run times include 0.006 seconds GC run time.]
% 0.61/0.78    0 calls to %EVAL
% 0.61/0.78    0 page faults and
% 0.61/0.78    20,377,144 bytes consed.
% 0.61/0.78  :PROOF-FOUND
% 0.61/0.78  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T11:10:51
% 0.61/0.78  :PROOF-FOUND
% 0.61/0.78  * 
%------------------------------------------------------------------------------