%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU200+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 : Tue Jul 19 14:20:04 EDT 2022
% Result : Theorem 218.14s 218.38s
% Output : Refutation 218.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 8 RR)
% Number of literals : 20 ( 3 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(136,axiom,
( ~ relation(X)
| relation(relation_rng_restriction(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
cnf(201,axiom,
( ~ relation(X)
| subset(relation_rng_restriction(Y,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_relat_1) ).
cnf(202,negated_conjecture,
relation('SKOLEMAAAV55'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t118_relat_1) ).
cnf(203,negated_conjecture,
~ subset(relation_rng(relation_rng_restriction('SKOLEMAAAV54','SKOLEMAAAV55')),relation_rng('SKOLEMAAAV55')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t118_relat_1) ).
cnf(221,axiom,
( ~ relation(X)
| ~ relation(Y)
| ~ subset(X,Y)
| subset(relation_rng(X),relation_rng(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_relat_1) ).
cnf(234,axiom,
( ~ relation(X)
| relation_rng(X) = relation_dom(relation_inverse(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).
cnf(356,plain,
relation(relation_rng_restriction(X,'SKOLEMAAAV55')),
inference('HYPERRESOLVE',[status(thm)],[136,202]) ).
cnf(405,plain,
subset(relation_rng_restriction(X,'SKOLEMAAAV55'),'SKOLEMAAAV55'),
inference('HYPERRESOLVE',[status(thm)],[201,202]) ).
cnf(574,plain,
relation_rng('SKOLEMAAAV55') = relation_dom(relation_inverse('SKOLEMAAAV55')),
inference('HYPERRESOLVE',[status(thm)],[234,202]) ).
cnf(575,plain,
~ subset(relation_rng(relation_rng_restriction('SKOLEMAAAV54','SKOLEMAAAV55')),relation_dom(relation_inverse('SKOLEMAAAV55'))),
inference('REWRITE',[status(thm)],[203,574,theory(equality)]) ).
cnf(13521,plain,
relation_rng(relation_rng_restriction(X,'SKOLEMAAAV55')) = relation_dom(relation_inverse(relation_rng_restriction(X,'SKOLEMAAAV55'))),
inference('HYPERRESOLVE',[status(thm)],[234,356]) ).
cnf(13784,plain,
~ subset(relation_dom(relation_inverse(relation_rng_restriction('SKOLEMAAAV54','SKOLEMAAAV55'))),relation_dom(relation_inverse('SKOLEMAAAV55'))),
inference('REWRITE',[status(thm)],[575,13521,theory(equality)]) ).
cnf(51417,plain,
subset(relation_dom(relation_inverse(relation_rng_restriction(X,'SKOLEMAAAV55'))),relation_dom(relation_inverse('SKOLEMAAAV55'))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[221,405,356,202]),574,13521,theory(equality)]) ).
cnf(51418,plain,
$false,
inference('REWRITE',[status(thm)],[13784,51417]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU200+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n026.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 : Mon Jun 20 13:35:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T13:35:56
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-20T13:35:56
% 0.20/0.52
% 0.20/0.52 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.52 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.53 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.53 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.20/0.53 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.20/0.53 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.20/0.53 ; Declaring unordered_pair to be commutative.
% 0.20/0.53 ; Declaring set_union2 to be commutative.
% 0.20/0.53 ; Declaring set_intersection2 to be commutative.
% 0.20/0.53 WARNING:
% 0.20/0.53 |are_equipotent| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 218.14/218.38 ; Declaring disjoint to be commutative.
% 218.14/218.38
% 218.14/218.38 #||
% 218.14/218.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 218.14/218.38 % SZS output start Refutation
% See solution above
% 218.14/218.38 ||#
% 218.14/218.38
% 218.14/218.38 ; Summary of computation:
% 218.14/218.38 ; 234874 formulas have been input or derived (from 386 formulas).
% 218.14/218.38 ; 51418 (22%) were retained. Of these,
% 218.14/218.38 ; 1416 ( 3%) were simplified or subsumed later,
% 218.14/218.38 ; 50002 (97%) are still being kept.
% 218.14/218.38 ;
% 218.14/218.38 ; Run time in seconds excluding printing time:
% 218.14/218.38 ; 0.039 0% Read assertion file (1 call)
% 218.14/218.38 ; 0.010 0% Assert (193 calls)
% 218.14/218.38 ; 12.749 6% Process new row (231,851 calls)
% 218.14/218.38 ; 94.116 43% Resolution (770 calls)
% 218.14/218.38 ; 0.038 0% Paramodulation (385 calls)
% 218.14/218.38 ; 0.000 0% Factoring (28 calls)
% 218.14/218.38 ; 3.326 2% Condensing (191,145 calls)
% 218.14/218.38 ; 78.133 36% Forward subsumption (191,145 calls)
% 218.14/218.38 ; 8.321 4% Backward subsumption (47,826 calls)
% 218.14/218.38 ; 5.592 3% Clause clause subsumption (793,504 calls)
% 218.14/218.38 ; 13.370 6% Forward simplification (231,628 calls)
% 218.14/218.38 ; 0.245 0% Backward simplification (51,411 calls)
% 218.14/218.38 ; 0.981 0% Ordering (321,162 calls)
% 218.14/218.38 ; 0.001 0% Sortal reasoning (32 calls)
% 218.14/218.38 ; 0.001 0% Purity testing (1 call)
% 218.14/218.38 ; 0.987 0% Other
% 218.14/218.38 ; 217.909 Total
% 218.14/218.38 ; 217.913 Real time
% 218.14/218.39 ;
% 218.25/218.41 ; Term-hash-array has 126,454 terms in all.
% 218.25/218.41 ; Feature-vector-row-index has 46,874 entries (46,878 at peak, 47,826 added, 952 deleted).
% 218.25/218.41 ; Feature-vector-row-index has 214,672 nodes (214,698 at peak, 221,515 added, 6,843 deleted).
% 218.25/218.41 ; Retrieved 2,597,799 possibly forward subsuming rows in 191,145 calls.
% 218.25/218.41 ; Retrieved 160,729 possibly backward subsumed rows in 47,826 calls.
% 218.25/218.41 ; Path-index has 124,389 entries (124,396 at peak, 127,493 added, 3,104 deleted).
% 218.25/218.41 ; Path-index has 81,829 nodes (81,829 at peak, 83,638 added, 1,809 deleted).
% 218.25/218.41 ; Trie-index has 124,389 entries (124,396 at peak, 127,493 added, 3,104 deleted).
% 218.25/218.41 ; Trie-index has 632,693 nodes (632,764 at peak, 642,614 added, 9,921 deleted).
% 218.25/218.41 ; Retrieved 871,360 generalization terms in 2,374,756 calls.
% 218.25/218.41 ; Retrieved 7,153 instance terms in 3,585 calls.
% 218.25/218.41 ; Retrieved 149,680,617 unifiable terms in 158,380 calls.
% 218.25/218.41 ;
% 218.25/218.41 ; The agenda of rows to process has 139 entries:
% 218.25/218.41 ; 17 with value 12 4 with value 21 1 with value 33
% 218.25/218.41 ; 4 with value 13 7 with value 22 3 with value 34
% 218.25/218.41 ; 31 with value 14 3 with value 27 2 with value 38
% 218.25/218.41 ; 27 with value 16 2 with value 28 2 with value 39
% 218.25/218.41 ; 3 with value 17 4 with value 29 2 with value 44
% 218.25/218.41 ; 4 with value 18 1 with value 30 2 with value 45
% 218.25/218.41 ; 12 with value 19 2 with value 31 1 with value 46
% 218.25/218.41 ; 2 with value 20 3 with value 32
% 218.25/218.41 ; The agenda of rows to give has 49635 entries:
% 218.25/218.41 ; 56 with value (4 8) 483 with value (4 42) 590 with value (4 76)
% 218.25/218.41 ; 111 with value (4 9) 601 with value (4 43) 818 with value (4 77)
% 218.25/218.41 ; 199 with value (4 10) 477 with value (4 44) 489 with value (4 78)
% 218.25/218.41 ; 332 with value (4 11) 511 with value (4 45) 592 with value (4 79)
% 218.25/218.41 ; 442 with value (4 12) 468 with value (4 46) 413 with value (4 80)
% 218.25/218.41 ; 412 with value (4 13) 526 with value (4 47) 501 with value (4 81)
% 218.25/218.41 ; 346 with value (4 14) 465 with value (4 48) 680 with value (4 82)
% 218.25/218.41 ; 249 with value (4 15) 438 with value (4 49) 585 with value (4 83)
% 218.25/218.41 ; 406 with value (4 16) 488 with value (4 50) 975 with value (4 84)
% 218.25/218.41 ; 289 with value (4 17) 673 with value (4 51) 898 with value (4 85)
% 218.25/218.41 ; 315 with value (4 18) 715 with value (4 52) 219 with value (4 86)
% 218.25/218.41 ; 335 with value (4 19) 539 with value (4 53) 956 with value (4 87)
% 218.25/218.41 ; 268 with value (4 20) 467 with value (4 54) 724 with value (4 88)
% 218.25/218.41 ; 262 with value (4 21) 449 with value (4 55) 1000 with value (4 89)
% 218.25/218.41 ; 273 with value (4 22) 558 with value (4 56) 967 with value (4 90)
% 218.25/218.41 ; 223 with value (4 23) 744 with value (4 57) 616 with value (4 91)
% 218.25/218.41 ; 215 with value (4 24) 550 with value (4 58) 714 with value (4 92)
% 218.25/218.41 ; 371 with value (4 25) 425 with value (4 59) 302 with value (4 93)
% 218.25/218.41 ; 392 with value (4 26) 436 with value (4 60) 1175 with value (4 94)
% 218.25/218.41 ; 436 with value (4 27) 389 with value (4 61) 628 with value (4 95)
% 218.25/218.41 ; 547 with value (4 28) 876 with value (4 62) 1176 with value (4 96)
% 218.25/218.41 ; 387 with value (4 29) 523 with value (4 63) 143 with value (4 97)
% 218.25/218.41 ; 531 with value (4 30) 682 with value (4 64) 236 with value (4 98)
% 218.25/218.41 ; 527 with value (4 31) 378 with value (4 65) 688 with value (4 99)
% 218.25/218.41 ; 417 with value (4 32) 330 with value (4 66) 375 with value (4 100)
% 218.25/218.41 ; 542 with value (4 33) 365 with value (4 67) 1037 with value (4 101)
% 218.25/218.41 ; 585 with value (4 34) 890 with value (4 68) 42 with value (4 102)
% 218.25/218.41 ; 488 with value (4 35) 592 with value (4 69) 93 with value (4 103)
% 218.25/218.41 ; 581 with value (4 36) 457 with value (4 70) 147 with value (4 104)
% 218.25/218.41 ; 393 with value (4 37) 525 with value (4 71) 360 with value (4 105)
% 218.25/218.41 ; 413 with value (4 38) 226 with value (4 72) 343 with value (4 106)
% 218.25/218.41 ; 612 with value (4 39) 577 with value (4 73) 49 with value (4 109)
% 218.25/218.41 ; 550 with value (4 40) 952 with value (4 74) 120 with value (4 110)
% 218.25/218.41 ; 454 with value (4 41) 250 with value (4 75)
% 218.25/218.41 Evaluation took:
% 218.25/218.41 217.942 seconds of real time
% 218.25/218.41 211.7139 seconds of user run time
% 218.25/218.41 6.225092 seconds of system run time
% 218.25/218.41 [Run times include 50.281 seconds GC run time.]
% 218.25/218.41 0 calls to %EVAL
% 218.25/218.41 0 page faults and
% 218.25/218.41 12,712,174,000 bytes consed.
% 218.25/218.41 :PROOF-FOUND
% 218.25/218.41 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T13:39:34
% 218.25/218.41 :PROOF-FOUND
% 218.25/218.41 *
%------------------------------------------------------------------------------