%------------------------------------------------------------------------------
% 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 : n021.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 00:35:03 EDT 2022
% Result : Theorem 160.62s 160.85s
% Output : Refutation 160.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of formulae : 8 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 99 ( 2 equ)
% Maximal formula atoms : 2 ( 12 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 : 89 ( 89 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 12 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(464,negated_conjecture,
~ 'fun_app$c'('fun_app$h'('subset$','fun_app$'('snd$','f$')),'fun_app$'('fun_app$t'('cartProd$','fun_app$'('domain$','fun_app$'('snd$','f$'))),'fun_app$'('range$','fun_app$'('snd$','f$')))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture220) ).
tff(465,axiom,
'fun_app$c'('isZFfun$','f$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom221) ).
tff(466,axiom,
'fun_app$'('zFfunDom$','f$') = 'fun_app$'('domain$','fun_app$'('snd$','f$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom222) ).
tff(478,axiom,
! [X: 'ZF$'] :
( ~ 'fun_app$c'('isZFfun$',X)
| 'fun_app$c'('fun_app$h'('subset$','fun_app$'('snd$',X)),'fun_app$'('fun_app$t'('cartProd$','fun_app$'('domain$','fun_app$'('snd$',X))),'fun_app$'('range$','fun_app$'('snd$',X)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom231) ).
tff(1190,axiom,
! [X: 'ZF_ZF_ZF_fun_fun$',Y: 'ZF$',Z: 'ZF$'] : ( 'fun_app$p'('case_prod$'(X),'fun_app$f'('fun_app$g'('pair$',Y),Z)) = 'fun_app$'('fun_app$t'(X,Y),Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom626) ).
tff(1868,plain,
! [X: 'ZF$'] :
( ~ 'fun_app$c'('isZFfun$',X)
| 'fun_app$c'('fun_app$h'('subset$','fun_app$'('snd$',X)),'fun_app$p'('case_prod$'('cartProd$'),'fun_app$f'('fun_app$g'('pair$','fun_app$'('domain$','fun_app$'('snd$',X))),'fun_app$'('range$','fun_app$'('snd$',X))))) ),
inference('REWRITE',[status(thm)],[478,1190,theory(equality)]) ).
tff(1925,plain,
~ 'fun_app$c'('fun_app$h'('subset$','fun_app$'('snd$','f$')),'fun_app$p'('case_prod$'('cartProd$'),'fun_app$f'('fun_app$g'('pair$','fun_app$'('zFfunDom$','f$')),'fun_app$'('range$','fun_app$'('snd$','f$'))))),
inference('REWRITE',[status(thm)],[464,1190,466,theory(equality)]) ).
cnf(50137,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1868,465]),1925,466,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 3 02:54:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T02:54:02
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-03T02:54:02
% 0.57/0.75 WARNING:
% 0.57/0.75 |less_eq$m| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.57/0.75 WARNING:
% 0.57/0.75 |inj_on$| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.57/0.75 WARNING:
% 0.57/0.75 |member$d| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 160.62/160.85
% 160.62/160.85
% 160.62/160.85 #||
% 160.62/160.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 160.62/160.85 % SZS output start Refutation
% See solution above
% 160.62/160.85 ||#
% 160.62/160.85
% 160.62/160.85 ; Summary of computation:
% 160.62/160.85 ; 537003 formulas have been input or derived (from 1330 formulas).
% 160.62/160.85 ; 50137 ( 9%) were retained. Of these,
% 160.62/160.85 ; 1584 ( 3%) were simplified or subsumed later,
% 160.62/160.85 ; 48553 (97%) are still being kept.
% 160.62/160.85 ;
% 160.62/160.85 ; Run time in seconds excluding printing time:
% 160.62/160.85 ; 0.222 0% Read assertion file (1 call)
% 160.62/160.85 ; 0.034 0% Assert (866 calls)
% 160.62/160.85 ; 10.617 7% Process new row (528,463 calls)
% 160.62/160.85 ; 33.324 21% Resolution (2,658 calls)
% 160.62/160.85 ; 0.423 0% Paramodulation (1,329 calls)
% 160.62/160.85 ; 0.000 0% Factoring (88 calls)
% 160.62/160.85 ; 1.234 1% Condensing (81,371 calls)
% 160.62/160.85 ; 46.642 29% Forward subsumption (81,371 calls)
% 160.62/160.85 ; 7.648 5% Backward subsumption (40,848 calls)
% 160.62/160.85 ; 1.107 1% Clause clause subsumption (172,305 calls)
% 160.62/160.85 ; 31.568 20% Forward simplification (522,598 calls)
% 160.62/160.85 ; 0.469 0% Backward simplification (49,875 calls)
% 160.62/160.85 ; 24.043 15% Ordering (3,434,802 calls)
% 160.62/160.85 ; 1.108 1% Sortal reasoning (1,590,567 calls)
% 160.62/160.85 ; 0.003 0% Purity testing (1 call)
% 160.62/160.85 ; 1.921 1% Other
% 160.62/160.85 ; 160.363 Total
% 160.62/160.85 ; 160.373 Real time
% 160.62/160.85 ;
% 160.67/160.89 ; Term-hash-array has 143,999 terms in all.
% 160.67/160.89 ; Feature-vector-row-index has 40,140 entries (40,140 at peak, 40,848 added, 708 deleted).
% 160.67/160.89 ; Feature-vector-row-index has 366,167 nodes (366,167 at peak, 371,859 added, 5,692 deleted).
% 160.67/160.89 ; Retrieved 620,076 possibly forward subsuming rows in 81,371 calls.
% 160.67/160.89 ; Retrieved 21,195 possibly backward subsumed rows in 40,848 calls.
% 160.67/160.89 ; Path-index has 141,228 entries (141,228 at peak, 145,033 added, 3,805 deleted).
% 160.67/160.89 ; Path-index has 404,039 nodes (404,039 at peak, 408,538 added, 4,499 deleted).
% 160.67/160.89 ; Trie-index has 141,228 entries (141,228 at peak, 145,033 added, 3,805 deleted).
% 160.67/160.89 ; Trie-index has 717,880 nodes (717,880 at peak, 735,731 added, 17,851 deleted).
% 160.67/160.89 ; Retrieved 4,598,117 generalization terms in 4,962,831 calls.
% 160.67/160.89 ; Retrieved 27,864 instance terms in 15,538 calls.
% 160.67/160.89 ; Retrieved 42,763,755 unifiable terms in 36,936 calls.
% 160.67/160.89 ;
% 160.67/160.89 ; The agenda of rows to process has 8 entries:
% 160.67/160.89 ; 2 with value 38 1 with value 43 4 with value 50
% 160.67/160.89 ; 1 with value 42
% 160.67/160.89 ; The agenda of input rows to give has 109 entries:
% 160.67/160.89 ; 1 with value 32 5 with value 40 4 with value 59
% 160.67/160.89 ; 6 with value 33 8 with value 41 4 with value 60
% 160.67/160.89 ; 9 with value 34 1 with value 43 8 with value 62
% 160.67/160.89 ; 1 with value 35 3 with value 44 4 with value 63
% 160.67/160.89 ; 8 with value 36 1 with value 46 4 with value 65
% 160.67/160.89 ; 2 with value 37 1 with value 47 8 with value 66
% 160.67/160.89 ; 6 with value 38 4 with value 54 4 with value 69
% 160.67/160.89 ; 8 with value 39 8 with value 57 1 with value 77
% 160.67/160.89 ; The agenda of rows to give has 47140 entries:
% 160.67/160.89 ; 6 with value (4 5) 1213 with value (4 41) 193 with value (4 76)
% 160.67/160.89 ; 42 with value (4 7) 1268 with value (4 42) 224 with value (4 77)
% 160.67/160.89 ; 122 with value (4 8) 1094 with value (4 43) 126 with value (4 78)
% 160.67/160.89 ; 68 with value (4 9) 980 with value (4 44) 120 with value (4 79)
% 160.67/160.89 ; 97 with value (4 10) 1158 with value (4 45) 272 with value (4 80)
% 160.67/160.89 ; 190 with value (4 11) 835 with value (4 46) 101 with value (4 81)
% 160.67/160.89 ; 101 with value (4 12) 985 with value (4 47) 160 with value (4 82)
% 160.67/160.89 ; 284 with value (4 13) 876 with value (4 48) 91 with value (4 83)
% 160.67/160.89 ; 280 with value (4 14) 797 with value (4 49) 90 with value (4 84)
% 160.67/160.89 ; 241 with value (4 15) 694 with value (4 50) 62 with value (4 85)
% 160.67/160.89 ; 345 with value (4 16) 751 with value (4 51) 47 with value (4 86)
% 160.67/160.89 ; 439 with value (4 17) 676 with value (4 52) 107 with value (4 87)
% 160.67/160.89 ; 455 with value (4 18) 763 with value (4 53) 73 with value (4 88)
% 160.67/160.89 ; 485 with value (4 19) 532 with value (4 54) 25 with value (4 89)
% 160.67/160.89 ; 662 with value (4 20) 522 with value (4 55) 114 with value (4 90)
% 160.67/160.89 ; 604 with value (4 21) 747 with value (4 56) 52 with value (4 91)
% 160.67/160.89 ; 648 with value (4 22) 554 with value (4 57) 36 with value (4 92)
% 160.67/160.89 ; 707 with value (4 23) 618 with value (4 58) 36 with value (4 93)
% 160.67/160.89 ; 754 with value (4 24) 573 with value (4 59) 42 with value (4 94)
% 160.67/160.89 ; 857 with value (4 25) 703 with value (4 60) 64 with value (4 95)
% 160.67/160.89 ; 833 with value (4 26) 448 with value (4 61) 6 with value (4 96)
% 160.67/160.89 ; 911 with value (4 27) 418 with value (4 62) 24 with value (4 97)
% 160.67/160.89 ; 896 with value (4 28) 456 with value (4 63) 34 with value (4 98)
% 160.67/160.89 ; 945 with value (4 29) 463 with value (4 64) 14 with value (4 99)
% 160.67/160.89 ; 963 with value (4 30) 411 with value (4 65) 6 with value (4 101)
% 160.67/160.89 ; 1044 with value (4 31) 351 with value (4 66) 1 with value (4 104)
% 160.67/160.89 ; 1041 with value (4 32) 241 with value (4 67) 2 with value (4 105)
% 160.67/160.89 ; 1084 with value (4 33) 300 with value (4 68) 2 with value (4 106)
% 160.67/160.89 ; 1073 with value (4 34) 349 with value (4 69) 4 with value (4 109)
% 160.67/160.89 ; 1119 with value (4 35) 715 with value (4 70) 4 with value (4 110)
% 160.67/160.89 ; 1278 with value (4 36) 216 with value (4 71) 2 with value (4 112)
% 160.67/160.89 ; 1058 with value (4 37) 151 with value (4 72) 2 with value (4 113)
% 160.67/160.89 ; 1220 with value (4 38) 304 with value (4 73) 2 with value (4 128)
% 160.67/160.89 ; 1220 with value (4 39) 326 with value (4 74) 2 with value (4 129)
% 160.67/160.89 ; 1142 with value (4 40) 298 with value (4 75)
% 160.67/160.89 Evaluation took:
% 160.67/160.89 160.414 seconds of real time
% 160.67/160.89 149.82527 seconds of user run time
% 160.67/160.89 10.580896 seconds of system run time
% 160.67/160.89 [Run times include 43.535 seconds GC run time.]
% 160.67/160.89 0 calls to %EVAL
% 160.67/160.89 0 page faults and
% 160.67/160.89 9,832,253,512 bytes consed.
% 160.67/160.89 :PROOF-FOUND
% 160.67/160.89 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T02:56:43
% 160.67/160.89 :PROOF-FOUND
% 160.67/160.89 *
%------------------------------------------------------------------------------