TSTP Solution File: ITP334_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 : n028.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 0.71s 0.92s
% Output : Refutation 0.71s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$PRODUCT')
% Comments :
%------------------------------------------------------------------------------
cnf('$$LESSEQ-IS-REFLEXIVE',axiom,
$lesseq(X,X) ).
tff(31,negated_conjecture,
( ~ $less(0,'fun_app$h'('of_nat$','card$'('top$')))
| ~ $less($difference('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)),'fun_app$h'('of_nat$','card$'('top$'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture7) ).
tff(32,plain,
( ~ $less(0,'fun_app$h'('of_nat$','card$'('top$')))
| ~ $less($sum(-1,'fun_app$h'('of_nat$','card$'('top$'))),'fun_app$h'('of_nat$','card$'('top$'))) ),
inference('REWRITE',[status(thm)],[31,'CODE-FOR-$$PRODUCT','CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE','CODE-FOR-$$SUM']) ).
tff(389,axiom,
$less(0,'fun_app$h'('of_nat$','card$'('top$'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom139) ).
tff(907,axiom,
! [X: $int,Y: $int] :
( ~ $lesseq(X,$difference(Y,1))
| $less(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom564) ).
tff(908,plain,
! [X: $int,Y: $int] :
( ~ $lesseq(X,$sum(-1,Y))
| $less(X,Y) ),
inference('REWRITE',[status(thm)],[907,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT','CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).
tff(966,plain,
~ $less($sum(-1,'fun_app$h'('of_nat$','card$'('top$'))),'fun_app$h'('of_nat$','card$'('top$'))),
inference('REWRITE',[status(thm)],[32,389]) ).
tff(1055,plain,
! [X: $int] : $less($sum(-1,X),X),
inference('HYPERRESOLVE',[status(thm)],[908,'$$LESSEQ-IS-REFLEXIVE']) ).
cnf(1056,plain,
$false,
inference('REWRITE',[status(thm)],[966,1055]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 2 21:48:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T21:48:09
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-02T21:48:09
% 0.47/0.67 WARNING:
% 0.47/0.67 DECLARE-PROPOSITION is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.92
% 0.71/0.92
% 0.71/0.92 #||
% 0.71/0.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.92 % SZS output start Refutation
% See solution above
% 0.71/0.92 ||#
% 0.71/0.92
% 0.71/0.92 ; Summary of computation:
% 0.71/0.92 ; 2060 formulas have been input or derived (from 164 formulas).
% 0.71/0.92 ; 1056 (51%) were retained. Of these,
% 0.71/0.92 ; 458 (43%) were simplified or subsumed later,
% 0.71/0.92 ; 598 (57%) are still being kept.
% 0.71/0.92 ;
% 0.71/0.92 ; Run time in seconds excluding printing time:
% 0.71/0.92 ; 0.156 35% Read assertion file (1 call)
% 0.71/0.92 ; 0.024 5% Assert (623 calls)
% 0.71/0.92 ; 0.068 15% Process new row (1,582 calls)
% 0.71/0.92 ; 0.017 4% Resolution (326 calls)
% 0.71/0.92 ; 0.000 0% Paramodulation (163 calls)
% 0.71/0.92 ; 0.000 0% Factoring (17 calls)
% 0.71/0.92 ; 0.023 5% Condensing (901 calls)
% 0.71/0.92 ; 0.031 7% Forward subsumption (901 calls)
% 0.71/0.92 ; 0.020 4% Backward subsumption (551 calls)
% 0.71/0.92 ; 0.015 3% Clause clause subsumption (1,321 calls)
% 0.71/0.92 ; 0.053 12% Forward simplification (1,579 calls)
% 0.71/0.92 ; 0.003 1% Backward simplification (697 calls)
% 0.71/0.92 ; 0.000 0% Ordering (369 calls)
% 0.71/0.92 ; 0.000 0% Ordering ac (8 calls)
% 0.71/0.92 ; 0.005 1% Sortal reasoning (7,530 calls)
% 0.71/0.92 ; 0.002 0% Purity testing (1 call)
% 0.71/0.92 ; 0.029 7% Other
% 0.71/0.92 ; 0.446 Total
% 0.71/0.92 ; 0.447 Real time
% 0.71/0.92 ;
% 0.71/0.92 ; Term-hash-array has 1,426 terms in all.
% 0.71/0.92 ; Feature-vector-row-index has 469 entries (469 at peak, 551 added, 82 deleted).
% 0.71/0.92 ; Feature-vector-row-index has 3,383 nodes (3,531 at peak, 4,380 added, 997 deleted).
% 0.71/0.92 ; Retrieved 2,270 possibly forward subsuming rows in 901 calls.
% 0.71/0.92 ; Retrieved 621 possibly backward subsumed rows in 551 calls.
% 0.71/0.92 ; Path-index has 1,405 entries (1,408 at peak, 1,606 added, 201 deleted).
% 0.71/0.92 ; Path-index has 3,531 nodes (3,533 at peak, 3,750 added, 219 deleted).
% 0.71/0.92 ; Trie-index has 1,405 entries (1,408 at peak, 1,606 added, 201 deleted).
% 0.71/0.92 ; Trie-index has 2,817 nodes (2,820 at peak, 3,079 added, 262 deleted).
% 0.71/0.92 ; Retrieved 4,116 generalization terms in 7,696 calls.
% 0.71/0.92 ; Retrieved 191 instance terms in 145 calls.
% 0.71/0.92 ; Retrieved 13,970 unifiable terms in 845 calls.
% 0.71/0.92 ;
% 0.71/0.92 ; The agenda of rows to process has 8 entries:
% 0.71/0.92 ; 2 with value 8 1 with value 10 5 with value 12
% 0.71/0.92 ; The agenda of input rows to give has 384 entries:
% 0.71/0.92 ; 4 with value 11 5 with value 26 3 with value 42
% 0.71/0.92 ; 36 with value 12 10 with value 27 4 with value 43
% 0.71/0.92 ; 17 with value 13 3 with value 28 1 with value 44
% 0.71/0.92 ; 14 with value 14 1 with value 29 3 with value 45
% 0.71/0.92 ; 5 with value 15 56 with value 30 3 with value 46
% 0.71/0.92 ; 3 with value 16 2 with value 31 1 with value 47
% 0.71/0.92 ; 5 with value 17 4 with value 32 5 with value 53
% 0.71/0.92 ; 11 with value 18 10 with value 33 1 with value 57
% 0.71/0.92 ; 6 with value 19 4 with value 34 3 with value 68
% 0.71/0.92 ; 5 with value 20 6 with value 35 1 with value 70
% 0.71/0.92 ; 30 with value 21 2 with value 36 1 with value 71
% 0.71/0.92 ; 12 with value 22 5 with value 37 1 with value 73
% 0.71/0.92 ; 3 with value 23 21 with value 38 4 with value 74
% 0.71/0.92 ; 8 with value 24 3 with value 40 1 with value 78
% 0.71/0.92 ; 58 with value 25 1 with value 41 2 with value 80
% 0.71/0.92 ; The agenda of rows to give has 58 entries:
% 0.71/0.92 ; 14 with value (4 7) 7 with value (4 10) 5 with value (4 12)
% 0.71/0.92 ; 15 with value (4 8) 5 with value (4 11) 5 with value (4 13)
% 0.71/0.92 ; 7 with value (4 9)
% 0.71/0.92 Evaluation took:
% 0.71/0.92 0.448 seconds of real time
% 0.71/0.92 0.403914 seconds of user run time
% 0.71/0.92 0.044166 seconds of system run time
% 0.71/0.92 [Run times include 0.014 seconds GC run time.]
% 0.71/0.92 0 calls to %EVAL
% 0.71/0.92 0 page faults and
% 0.71/0.92 31,538,376 bytes consed.
% 0.71/0.92 :PROOF-FOUND
% 0.71/0.92 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T21:48:09
% 0.71/0.92 :PROOF-FOUND
% 0.71/0.92 *
%------------------------------------------------------------------------------