TSTP Solution File: ITP340_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% 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 : n025.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 00:35:08 EDT 2022
% Result : Theorem 7.13s 7.31s
% Output : Refutation 7.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$$LESS')
% Comments :
%------------------------------------------------------------------------------
tff('SOLVE-$$LESSEQ-BY-$$$LESS',axiom,
! [X: 'NUMBER',Y: 'NUMBER'] :
( $lesseq(X,Y)
| '$$$LESS'(Y,X) ) ).
tff('SOLVE-~$$LESSEQ-BY-$$$LESS',axiom,
! [X: 'NUMBER',Y: 'NUMBER'] :
( ~ $lesseq(X,Y)
| ~ '$$$LESS'(Y,X) ) ).
tff(23,negated_conjecture,
! [X: 'Cols$'] :
( ( 'row$'('from_nat$'('i$'),'p_Gauss_Jordan$'('transpose$'('a$'))) != 'row$'(X,'p_Gauss_Jordan$'('transpose$'('a$'))) )
| ~ $lesseq('fun_app$d'('of_nat$','rank$'('a$')),'fun_app$d'('of_nat$','to_nat$'(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture5) ).
tff(26,axiom,
$lesseq('fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'('a$'))),'fun_app$d'('of_nat$','i$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom8) ).
tff(362,axiom,
! [X: 'A_cols_vec_rows_vec$'] : ( 'fun_app$d'('of_nat$','rank$'(X)) = 'fun_app$d'('of_nat$','rank_iarray$'('matrix_to_iarray$'(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom378) ).
tff(385,axiom,
! [X: 'Cols$',Y: 'A_cols_vec_cols_vec$'] : ( 'column$'(X,'transpose$b'(Y)) = 'row$'(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom408) ).
tff(418,axiom,
$less('fun_app$d'('of_nat$','i$'),'fun_app$d'('of_nat$','card$'('top$'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom431) ).
tff(419,axiom,
! [X: 'A_cols_vec_rows_vec$'] : ( 'fun_app$d'('of_nat$','rank$'(X)) = 'fun_app$d'('of_nat$','col_rank$'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom434) ).
tff(433,axiom,
! [X: 'Nat$'] :
( ~ $less('fun_app$d'('of_nat$',X),'fun_app$d'('of_nat$','card$'('top$')))
| ( 'fun_app$d'('of_nat$','to_nat$'('from_nat$'(X))) = 'fun_app$d'('of_nat$',X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom445) ).
tff(813,plain,
! [X: 'Cols$'] :
( ( 'column$'('from_nat$'('i$'),'transpose$b'('p_Gauss_Jordan$'('transpose$'('a$')))) != 'column$'(X,'transpose$b'('p_Gauss_Jordan$'('transpose$'('a$')))) )
| ~ $lesseq('fun_app$d'('of_nat$','col_rank$'('a$')),'fun_app$d'('of_nat$','to_nat$'(X))) ),
inference('REWRITE',[status(thm)],[23,419,385,theory(equality)]) ).
tff(814,plain,
$lesseq('fun_app$d'('of_nat$','col_rank$'('a$')),'fun_app$d'('of_nat$','i$')),
inference('REWRITE',[status(thm)],[26,419,362,theory(equality)]) ).
tff(1007,plain,
~ '$$$LESS'(0,$sum('fun_app$d'('of_nat$','col_rank$'('a$')),$product(-1,'fun_app$d'('of_nat$','i$')))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],['SOLVE-~$$LESSEQ-BY-$$$LESS',814]),'CODE-FOR-$$$LESS','CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT']) ).
tff(2532,plain,
'fun_app$d'('of_nat$','to_nat$'('from_nat$'('i$'))) = 'fun_app$d'('of_nat$','i$'),
inference('HYPERRESOLVE',[status(thm)],[433,418]) ).
cnf(12178,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[813,'SOLVE-$$LESSEQ-BY-$$$LESS',theory(equality)]),1007,2532,'CODE-FOR-$$$LESS','CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT',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
% 0.14/0.35 % Computer : n025.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 : 600
% 0.14/0.35 % DateTime : Thu Jun 2 15:30:15 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T15:30:15
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-02T15:30:15
% 0.47/0.69 WARNING:
% 0.47/0.69 |less_eq$| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.69 WARNING:
% 0.47/0.69 |less$c| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.69 WARNING:
% 0.47/0.69 |preordering_bdd$a| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.69 WARNING:
% 0.47/0.69 |preordering_bdd$| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.69 WARNING:
% 0.47/0.69 |ordering$a| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.69 WARNING:
% 0.47/0.69 |ordering_top$| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.69 WARNING:
% 0.47/0.69 |ordering$| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 7.13/7.31
% 7.13/7.31
% 7.13/7.31 #||
% 7.13/7.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.13/7.31 % SZS output start Refutation
% See solution above
% 7.13/7.31 ||#
% 7.13/7.31
% 7.13/7.31 ; Summary of computation:
% 7.13/7.31 ; 23007 formulas have been input or derived (from 472 formulas).
% 7.13/7.31 ; 12178 (53%) were retained. Of these,
% 7.13/7.31 ; 336 ( 3%) were simplified or subsumed later,
% 7.13/7.31 ; 11842 (97%) are still being kept.
% 7.13/7.31 ;
% 7.13/7.31 ; Run time in seconds excluding printing time:
% 7.13/7.31 ; 0.169 2% Read assertion file (1 call)
% 7.13/7.31 ; 0.023 0% Assert (619 calls)
% 7.13/7.31 ; 0.992 15% Process new row (20,592 calls)
% 7.13/7.31 ; 1.080 16% Resolution (942 calls)
% 7.13/7.31 ; 0.013 0% Paramodulation (471 calls)
% 7.13/7.31 ; 0.000 0% Factoring (28 calls)
% 7.13/7.31 ; 0.236 3% Condensing (17,242 calls)
% 7.13/7.31 ; 1.766 26% Forward subsumption (17,242 calls)
% 7.13/7.31 ; 0.630 9% Backward subsumption (11,442 calls)
% 7.13/7.31 ; 0.867 13% Clause clause subsumption (85,954 calls)
% 7.13/7.31 ; 0.658 10% Forward simplification (19,509 calls)
% 7.13/7.31 ; 0.014 0% Backward simplification (11,972 calls)
% 7.13/7.31 ; 0.125 2% Ordering (55,521 calls)
% 7.13/7.31 ; 0.000 0% Ordering ac (48 calls)
% 7.13/7.31 ; 0.153 2% Sortal reasoning (224,450 calls)
% 7.13/7.31 ; 0.003 0% Purity testing (1 call)
% 7.13/7.31 ; 0.096 1% Other
% 7.13/7.31 ; 6.825 Total
% 7.13/7.31 ; 6.829 Real time
% 7.13/7.31 ;
% 7.13/7.32 ; Term-hash-array has 8,606 terms in all.
% 7.13/7.32 ; Feature-vector-row-index has 11,346 entries (11,346 at peak, 11,442 added, 96 deleted).
% 7.13/7.32 ; Feature-vector-row-index has 83,441 nodes (83,441 at peak, 84,235 added, 794 deleted).
% 7.13/7.32 ; Retrieved 166,843 possibly forward subsuming rows in 17,242 calls.
% 7.13/7.32 ; Retrieved 7,973 possibly backward subsumed rows in 11,442 calls.
% 7.13/7.32 ; Path-index has 8,509 entries (8,509 at peak, 8,809 added, 300 deleted).
% 7.13/7.32 ; Path-index has 13,519 nodes (13,519 at peak, 13,790 added, 271 deleted).
% 7.13/7.32 ; Trie-index has 8,509 entries (8,509 at peak, 8,809 added, 300 deleted).
% 7.13/7.32 ; Trie-index has 14,925 nodes (14,925 at peak, 15,467 added, 542 deleted).
% 7.13/7.32 ; Retrieved 113,835 generalization terms in 90,881 calls.
% 7.13/7.32 ; Retrieved 581 instance terms in 529 calls.
% 7.13/7.32 ; Retrieved 1,045,548 unifiable terms in 12,035 calls.
% 7.13/7.32 ;
% 7.13/7.32 ; The agenda of rows to process has 6 entries:
% 7.13/7.32 ; 4 with value 15 1 with value 21 1 with value 22
% 7.13/7.32 ; The agenda of input rows to give has 102 entries:
% 7.13/7.32 ; 4 with value 32 6 with value 39 1 with value 57
% 7.13/7.32 ; 21 with value 33 3 with value 40 1 with value 68
% 7.13/7.32 ; 6 with value 34 3 with value 42 1 with value 70
% 7.13/7.32 ; 9 with value 35 6 with value 43 1 with value 74
% 7.13/7.32 ; 4 with value 36 2 with value 45 1 with value 78
% 7.13/7.32 ; 15 with value 37 2 with value 46 1 with value 80
% 7.13/7.32 ; 12 with value 38 3 with value 53
% 7.13/7.32 ; The agenda of rows to give has 11285 entries:
% 7.13/7.32 ; 26 with value (4 7) 361 with value (4 26) 305 with value (4 45)
% 7.13/7.32 ; 23 with value (4 8) 309 with value (4 27) 161 with value (4 46)
% 7.13/7.32 ; 32 with value (4 9) 251 with value (4 28) 219 with value (4 47)
% 7.13/7.32 ; 44 with value (4 10) 322 with value (4 29) 166 with value (4 48)
% 7.13/7.32 ; 75 with value (4 11) 349 with value (4 30) 151 with value (4 49)
% 7.13/7.32 ; 74 with value (4 12) 567 with value (4 31) 86 with value (4 50)
% 7.13/7.32 ; 64 with value (4 13) 462 with value (4 32) 170 with value (4 51)
% 7.13/7.32 ; 74 with value (4 14) 246 with value (4 33) 54 with value (4 52)
% 7.13/7.32 ; 121 with value (4 15) 431 with value (4 34) 38 with value (4 53)
% 7.13/7.32 ; 76 with value (4 16) 512 with value (4 35) 65 with value (4 54)
% 7.13/7.32 ; 86 with value (4 17) 498 with value (4 36) 59 with value (4 55)
% 7.13/7.32 ; 120 with value (4 18) 691 with value (4 37) 22 with value (4 56)
% 7.13/7.32 ; 141 with value (4 19) 398 with value (4 38) 16 with value (4 57)
% 7.13/7.32 ; 111 with value (4 20) 257 with value (4 39) 29 with value (4 58)
% 7.13/7.32 ; 180 with value (4 21) 460 with value (4 40) 9 with value (4 59)
% 7.13/7.32 ; 130 with value (4 22) 477 with value (4 41) 16 with value (4 60)
% 7.13/7.32 ; 147 with value (4 23) 379 with value (4 42) 25 with value (4 61)
% 7.13/7.32 ; 302 with value (4 24) 364 with value (4 43) 1 with value (4 62)
% 7.13/7.32 ; 229 with value (4 25) 292 with value (4 44) 12 with value (4 64)
% 7.13/7.32 Evaluation took:
% 7.13/7.32 6.836 seconds of real time
% 7.13/7.32 6.201986 seconds of user run time
% 7.13/7.32 0.633237 seconds of system run time
% 7.13/7.32 [Run times include 0.776 seconds GC run time.]
% 7.13/7.32 0 calls to %EVAL
% 7.13/7.32 0 page faults and
% 7.13/7.32 627,930,536 bytes consed.
% 7.13/7.32 :PROOF-FOUND
% 7.13/7.32 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T15:30:22
% 7.13/7.32 :PROOF-FOUND
% 7.13/7.32 *
%------------------------------------------------------------------------------