%------------------------------------------------------------------------------
% 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 : 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 00:35:07 EDT 2022
% Result : Theorem 0.73s 0.93s
% Output : Refutation 0.76s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$$LESS')
% Comments :
%------------------------------------------------------------------------------
tff(38,negated_conjecture,
( ( 'matrix_to_iarray$'('snd$'('snd$a'('pair$'('n$','pair$a'('i$','a$'))))) != 'snd$c'('snd$d'('pair$c'('n$','pair$d'('i$','matrix_to_iarray$'('a$'))))) )
| ( 'of_nat$'('i$') != 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'('a$'))) )
| ( 'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture8) ).
tff('SOLVE-$$LESS-BY-$$$LESS',axiom,
! [X: 'NUMBER',Y: 'NUMBER'] :
( $less(X,Y)
| ~ '$$$LESS'(X,Y) ) ).
tff('SOLVE-$$LESSEQ-BY-$$$LESS',axiom,
! [X: 'NUMBER',Y: 'NUMBER'] :
( $lesseq(X,Y)
| '$$$LESS'(Y,X) ) ).
tff(65,axiom,
$lesseq('of_nat$'('i$'),'of_nat$'('nrows$'('a$'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom9) ).
tff(66,axiom,
~ $less('of_nat$'('i$'),'of_nat$'('nrows$'('a$'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom10) ).
tff(310,axiom,
! [X: 'Nat$',Y: 'A_b_vec_c_vec$'] : ( 'snd$'('pair$a'(X,Y)) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom271) ).
tff(312,axiom,
! [X: 'Nat$',Y: 'A_iarray_iarray$'] : ( 'snd$c'('pair$d'(X,Y)) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom273) ).
tff(314,axiom,
! [X: 'A$',Y: 'Nat_a_b_vec_c_vec_prod$'] : ( 'snd$a'('pair$'(X,Y)) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom275) ).
tff(315,axiom,
! [X: 'A$',Y: 'Nat_a_iarray_iarray_prod$'] : ( 'snd$d'('pair$c'(X,Y)) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom276) ).
tff(622,axiom,
! [X: 'A_b_vec_c_vec$'] : ( 'of_nat$'('nrows$'(X)) = 'of_nat$'('nrows_iarray$'('matrix_to_iarray$'(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom571) ).
tff(705,axiom,
! [X: $int,Y: $int] :
( ~ $lesseq(X,Y)
| ~ $lesseq(Y,X)
| ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom629) ).
tff(721,plain,
'of_nat$'('i$') != 'of_nat$'('nrows$'('a$')),
inference('REWRITE',[status(thm)],[38,622,312,315,310,314,theory(equality)]) ).
tff(738,plain,
~ '$$$LESS'(0,$sum('of_nat$'('nrows$'('a$')),$product(-1,'of_nat$'('i$')))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[66,'SOLVE-$$LESS-BY-$$$LESS']),'CODE-FOR-$$$LESS','CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT']) ).
cnf(830,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[705,'SOLVE-$$LESSEQ-BY-$$$LESS',65]),721,738,'CODE-FOR-$$$LESS','CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 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 : Sat Jun 4 00:38:10 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 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 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 2022-06-04T00:38:10
% 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 2022-06-04T00:38:10
% 0.46/0.69 WARNING:
% 0.46/0.69 |less_eq$c| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.69 WARNING:
% 0.46/0.69 |less_eq$d| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.73/0.93
% 0.73/0.93
% 0.73/0.93 #||
% 0.73/0.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/0.93 % SZS output start Refutation
% See solution above
% 0.76/0.93 ||#
% 0.76/0.93
% 0.76/0.93 ; Summary of computation:
% 0.76/0.93 ; 1690 formulas have been input or derived (from 169 formulas).
% 0.76/0.93 ; 830 (49%) were retained. Of these,
% 0.76/0.93 ; 137 (17%) were simplified or subsumed later,
% 0.76/0.93 ; 693 (83%) are still being kept.
% 0.76/0.93 ;
% 0.76/0.93 ; Run time in seconds excluding printing time:
% 0.76/0.93 ; 0.166 38% Read assertion file (1 call)
% 0.76/0.93 ; 0.017 4% Assert (635 calls)
% 0.76/0.93 ; 0.050 11% Process new row (1,492 calls)
% 0.76/0.93 ; 0.049 11% Resolution (336 calls)
% 0.76/0.93 ; 0.004 1% Paramodulation (168 calls)
% 0.76/0.93 ; 0.000 0% Factoring (9 calls)
% 0.76/0.93 ; 0.015 3% Condensing (822 calls)
% 0.76/0.93 ; 0.033 8% Forward subsumption (822 calls)
% 0.76/0.93 ; 0.015 3% Backward subsumption (544 calls)
% 0.76/0.93 ; 0.009 2% Clause clause subsumption (1,293 calls)
% 0.76/0.93 ; 0.029 7% Forward simplification (1,463 calls)
% 0.76/0.93 ; 0.005 1% Backward simplification (765 calls)
% 0.76/0.93 ; 0.006 1% Ordering (1,120 calls)
% 0.76/0.93 ; 0.000 0% Ordering ac (6 calls)
% 0.76/0.93 ; 0.012 3% Sortal reasoning (10,764 calls)
% 0.76/0.93 ; 0.002 0% Purity testing (1 call)
% 0.76/0.93 ; 0.027 6% Other
% 0.76/0.93 ; 0.439 Total
% 0.76/0.93 ; 0.441 Real time
% 0.76/0.93 ;
% 0.76/0.93 ; Term-hash-array has 1,736 terms in all.
% 0.76/0.93 ; Feature-vector-row-index has 510 entries (510 at peak, 544 added, 34 deleted).
% 0.76/0.93 ; Feature-vector-row-index has 2,577 nodes (2,577 at peak, 3,961 added, 1,384 deleted).
% 0.76/0.93 ; Retrieved 1,222 possibly forward subsuming rows in 822 calls.
% 0.76/0.93 ; Retrieved 447 possibly backward subsumed rows in 544 calls.
% 0.76/0.93 ; Path-index has 1,651 entries (1,651 at peak, 1,824 added, 173 deleted).
% 0.76/0.93 ; Path-index has 6,853 nodes (6,853 at peak, 7,231 added, 378 deleted).
% 0.76/0.93 ; Trie-index has 1,651 entries (1,651 at peak, 1,824 added, 173 deleted).
% 0.76/0.93 ; Trie-index has 5,294 nodes (5,302 at peak, 6,043 added, 749 deleted).
% 0.76/0.93 ; Retrieved 1,783 generalization terms in 4,720 calls.
% 0.76/0.93 ; Retrieved 353 instance terms in 252 calls.
% 0.76/0.93 ; Retrieved 33,231 unifiable terms in 910 calls.
% 0.76/0.93 ;
% 0.76/0.93 ; The agenda of rows to process has 4 entries:
% 0.76/0.93 ; 2 with value 23 2 with value 25
% 0.76/0.93 ; The agenda of input rows to give has 459 entries:
% 0.76/0.93 ; 3 with value 12 7 with value 25 9 with value 38
% 0.76/0.93 ; 39 with value 13 8 with value 26 3 with value 42
% 0.76/0.93 ; 14 with value 14 5 with value 27 1 with value 45
% 0.76/0.93 ; 104 with value 15 6 with value 28 1 with value 48
% 0.76/0.93 ; 23 with value 16 2 with value 29 1 with value 49
% 0.76/0.93 ; 68 with value 17 12 with value 31 1 with value 53
% 0.76/0.93 ; 19 with value 18 1 with value 32 1 with value 57
% 0.76/0.93 ; 16 with value 19 2 with value 33 1 with value 74
% 0.76/0.93 ; 25 with value 20 8 with value 34 2 with value 87
% 0.76/0.93 ; 14 with value 21 3 with value 35 3 with value 89
% 0.76/0.93 ; 15 with value 22 6 with value 36 2 with value 91
% 0.76/0.93 ; 19 with value 23 1 with value 37 1 with value 93
% 0.76/0.93 ; 13 with value 24
% 0.76/0.93 ; The agenda of rows to give has 86 entries:
% 0.76/0.93 ; 5 with value (4 7) 12 with value (4 12) 3 with value (4 18)
% 0.76/0.93 ; 27 with value (4 8) 7 with value (4 13) 3 with value (4 19)
% 0.76/0.93 ; 8 with value (4 10) 7 with value (4 15) 1 with value (4 25)
% 0.76/0.93 ; 5 with value (4 11) 8 with value (4 16)
% 0.76/0.93 Evaluation took:
% 0.76/0.93 0.442 seconds of real time
% 0.76/0.93 0.399002 seconds of user run time
% 0.76/0.93 0.043099 seconds of system run time
% 0.76/0.93 [Run times include 0.021 seconds GC run time.]
% 0.76/0.93 0 calls to %EVAL
% 0.76/0.93 0 page faults and
% 0.76/0.93 29,923,128 bytes consed.
% 0.76/0.93 :PROOF-FOUND
% 0.76/0.93 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T00:38:11
% 0.76/0.93 :PROOF-FOUND
% 0.76/0.93 *
%------------------------------------------------------------------------------