TSTP Solution File: SEU308+2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU308+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 14:21:10 EDT 2022
% Result : Theorem 44.07s 44.26s
% Output : Refutation 44.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 12 unt; 0 nHn; 12 RR)
% Number of literals : 19 ( 9 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(219,axiom,
( ~ one_sorted_str(X)
| cast_as_carrier_subset(X) = the_carrier(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
cnf(250,axiom,
cast_to_subset(X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_subset_1) ).
cnf(293,axiom,
( ~ element(X,powerset(Y))
| subset_complement(Y,X) = set_difference(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_subset_1) ).
cnf(368,axiom,
element(cast_to_subset(X),powerset(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_subset_1) ).
cnf(369,plain,
element(X,powerset(X)),
inference('REWRITE',[status(thm)],[368,250,theory(equality)]) ).
cnf(633,axiom,
( ~ element(X,powerset(Y))
| ~ element(Z,powerset(Y))
| subset_difference(Y,X,Z) = set_difference(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_subset_1) ).
cnf(2738,negated_conjecture,
one_sorted_str('SKOLEMAAAV296'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_pre_topc) ).
cnf(2739,negated_conjecture,
element('SKOLEMAAAV297',powerset(the_carrier('SKOLEMAAAV296'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_pre_topc) ).
cnf(2740,negated_conjecture,
subset_complement(the_carrier('SKOLEMAAAV296'),'SKOLEMAAAV297') != subset_difference(the_carrier('SKOLEMAAAV296'),cast_as_carrier_subset('SKOLEMAAAV296'),'SKOLEMAAAV297'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_pre_topc) ).
cnf(3300,plain,
cast_as_carrier_subset('SKOLEMAAAV296') = the_carrier('SKOLEMAAAV296'),
inference('HYPERRESOLVE',[status(thm)],[219,2738]) ).
cnf(3301,plain,
element('SKOLEMAAAV297',powerset(cast_as_carrier_subset('SKOLEMAAAV296'))),
inference('REWRITE',[status(thm)],[2739,3300,theory(equality)]) ).
cnf(3302,plain,
subset_complement(cast_as_carrier_subset('SKOLEMAAAV296'),'SKOLEMAAAV297') != subset_difference(cast_as_carrier_subset('SKOLEMAAAV296'),cast_as_carrier_subset('SKOLEMAAAV296'),'SKOLEMAAAV297'),
inference('REWRITE',[status(thm)],[2740,3300,theory(equality)]) ).
cnf(6975,plain,
subset_complement(cast_as_carrier_subset('SKOLEMAAAV296'),'SKOLEMAAAV297') = set_difference(cast_as_carrier_subset('SKOLEMAAAV296'),'SKOLEMAAAV297'),
inference('HYPERRESOLVE',[status(thm)],[293,3301]) ).
cnf(6976,plain,
set_difference(cast_as_carrier_subset('SKOLEMAAAV296'),'SKOLEMAAAV297') != subset_difference(cast_as_carrier_subset('SKOLEMAAAV296'),cast_as_carrier_subset('SKOLEMAAAV296'),'SKOLEMAAAV297'),
inference('REWRITE',[status(thm)],[3302,6975,theory(equality)]) ).
cnf(34337,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[633,369,3301,6976]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU308+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 18:16:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T18:16:54
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-19T18:16:54
% 0.44/0.61
% 0.44/0.61 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.44/0.61 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.47/0.68 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.47/0.68 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.47/0.68 ; Recognized commutativity assertion (OR (NOT (|equipotent| ?X ?Y)) (|equipotent| ?Y ?X)).
% 0.47/0.69 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.47/0.69 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.47/0.69 ; Declaring unordered_pair to be commutative.
% 0.47/0.69 ; Declaring set_union2 to be commutative.
% 0.47/0.69 ; Declaring set_intersection2 to be commutative.
% 0.47/0.69 ; Declaring disjoint to be commutative.
% 0.47/0.71 WARNING:
% 0.47/0.71 |meet_commutative| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.71 WARNING:
% 0.47/0.71 |join_commutative| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.71 WARNING:
% 0.47/0.71 |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.71 WARNING:
% 0.47/0.71 |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.71 WARNING:
% 0.47/0.71 |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.71 WARNING:
% 0.47/0.71 |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 44.07/44.26 ; Declaring equipotent to be commutative.
% 44.07/44.26
% 44.07/44.26 #||
% 44.07/44.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.07/44.26 % SZS output start Refutation
% See solution above
% 44.07/44.26 ||#
% 44.07/44.26
% 44.07/44.26 ; Summary of computation:
% 44.07/44.26 ; 118369 formulas have been input or derived (from 793 formulas).
% 44.07/44.26 ; 34337 (29%) were retained. Of these,
% 44.07/44.26 ; 4478 (13%) were simplified or subsumed later,
% 44.07/44.26 ; 29859 (87%) are still being kept.
% 44.07/44.26 ;
% 44.07/44.26 ; Run time in seconds excluding printing time:
% 44.07/44.26 ; 0.134 0% Read assertion file (1 call)
% 44.07/44.26 ; 0.081 0% Assert (495 calls)
% 44.07/44.26 ; 3.918 9% Process new row (116,942 calls)
% 44.07/44.26 ; 13.349 30% Resolution (1,584 calls)
% 44.07/44.26 ; 0.028 0% Paramodulation (792 calls)
% 44.07/44.26 ; 0.000 0% Factoring (43 calls)
% 44.07/44.26 ; 0.843 2% Condensing (79,292 calls)
% 44.07/44.26 ; 11.468 26% Forward subsumption (79,292 calls)
% 44.07/44.26 ; 8.432 19% Backward subsumption (31,114 calls)
% 44.07/44.26 ; 0.849 2% Clause clause subsumption (116,457 calls)
% 44.07/44.26 ; 3.671 8% Forward simplification (116,902 calls)
% 44.07/44.26 ; 0.320 1% Backward simplification (34,321 calls)
% 44.07/44.26 ; 0.252 1% Ordering (106,284 calls)
% 44.07/44.26 ; 0.000 0% Sortal reasoning (32 calls)
% 44.07/44.26 ; 0.025 0% Purity testing (1 call)
% 44.07/44.26 ; 0.426 1% Other
% 44.07/44.26 ; 43.796 Total
% 44.07/44.26 ; 43.799 Real time
% 44.07/44.26 ;
% 44.07/44.28 ; Term-hash-array has 50,206 terms in all.
% 44.07/44.28 ; Feature-vector-row-index has 27,338 entries (27,338 at peak, 31,114 added, 3,776 deleted).
% 44.07/44.28 ; Feature-vector-row-index has 178,810 nodes (178,810 at peak, 204,115 added, 25,305 deleted).
% 44.07/44.28 ; Retrieved 739,593 possibly forward subsuming rows in 79,292 calls.
% 44.07/44.28 ; Retrieved 30,724 possibly backward subsumed rows in 31,114 calls.
% 44.07/44.28 ; Path-index has 44,119 entries (44,119 at peak, 52,341 added, 8,222 deleted).
% 44.07/44.28 ; Path-index has 94,406 nodes (94,406 at peak, 102,624 added, 8,218 deleted).
% 44.07/44.28 ; Trie-index has 44,119 entries (44,119 at peak, 52,341 added, 8,222 deleted).
% 44.07/44.28 ; Trie-index has 166,746 nodes (166,746 at peak, 194,957 added, 28,211 deleted).
% 44.07/44.28 ; Retrieved 334,924 generalization terms in 881,832 calls.
% 44.07/44.28 ; Retrieved 4,441 instance terms in 3,209 calls.
% 44.07/44.28 ; Retrieved 24,138,506 unifiable terms in 59,256 calls.
% 44.07/44.28 ;
% 44.07/44.28 ; The agenda of rows to process has 54 entries:
% 44.07/44.28 ; 1 with value 9 4 with value 15 6 with value 21
% 44.07/44.28 ; 1 with value 10 16 with value 17 4 with value 22
% 44.07/44.28 ; 8 with value 11 4 with value 19 4 with value 23
% 44.07/44.28 ; 6 with value 13
% 44.07/44.28 ; The agenda of input rows to give has 1934 entries:
% 44.07/44.28 ; 27 with value 22 50 with value 48 17 with value 74
% 44.07/44.28 ; 53 with value 23 86 with value 49 17 with value 75
% 44.07/44.28 ; 39 with value 24 16 with value 50 2 with value 76
% 44.07/44.28 ; 35 with value 25 35 with value 51 26 with value 77
% 44.07/44.28 ; 37 with value 26 38 with value 52 18 with value 78
% 44.07/44.28 ; 24 with value 27 56 with value 53 4 with value 79
% 44.07/44.28 ; 38 with value 28 21 with value 54 13 with value 80
% 44.07/44.28 ; 20 with value 29 56 with value 55 13 with value 81
% 44.07/44.28 ; 21 with value 30 19 with value 56 9 with value 82
% 44.07/44.28 ; 29 with value 31 32 with value 57 1 with value 83
% 44.07/44.28 ; 31 with value 32 35 with value 58 26 with value 84
% 44.07/44.28 ; 15 with value 33 76 with value 59 8 with value 85
% 44.07/44.28 ; 38 with value 34 7 with value 60 4 with value 86
% 44.07/44.28 ; 28 with value 35 39 with value 61 12 with value 87
% 44.07/44.28 ; 34 with value 36 14 with value 62 8 with value 88
% 44.07/44.28 ; 40 with value 37 25 with value 63 6 with value 90
% 44.07/44.28 ; 28 with value 38 18 with value 64 4 with value 92
% 44.07/44.28 ; 45 with value 39 49 with value 65 15 with value 94
% 44.07/44.28 ; 35 with value 40 3 with value 66 9 with value 96
% 44.07/44.28 ; 34 with value 41 21 with value 67 3 with value 100
% 44.07/44.28 ; 67 with value 42 13 with value 68 3 with value 104
% 44.07/44.28 ; 60 with value 43 12 with value 69 9 with value 106
% 44.07/44.28 ; 26 with value 44 17 with value 70 1 with value 110
% 44.07/44.28 ; 39 with value 45 30 with value 71 1 with value 114
% 44.07/44.28 ; 33 with value 46 10 with value 72 3 with value 116
% 44.07/44.28 ; 46 with value 47 2 with value 73
% 44.07/44.28 ; The agenda of rows to give has 27178 entries:
% 44.07/44.28 ; 13 with value (4 4) 747 with value (4 31) 104 with value (4 58)
% 44.07/44.28 ; 31 with value (4 5) 845 with value (4 32) 68 with value (4 59)
% 44.07/44.28 ; 134 with value (4 6) 909 with value (4 33) 72 with value (4 60)
% 44.07/44.28 ; 222 with value (4 7) 751 with value (4 34) 80 with value (4 61)
% 44.07/44.28 ; 135 with value (4 8) 857 with value (4 35) 20 with value (4 62)
% 44.07/44.28 ; 362 with value (4 9) 995 with value (4 36) 32 with value (4 63)
% 44.07/44.28 ; 343 with value (4 10) 709 with value (4 37) 17 with value (4 64)
% 44.07/44.28 ; 340 with value (4 11) 580 with value (4 38) 35 with value (4 65)
% 44.07/44.28 ; 355 with value (4 12) 408 with value (4 39) 13 with value (4 66)
% 44.07/44.28 ; 342 with value (4 13) 460 with value (4 40) 8 with value (4 67)
% 44.07/44.28 ; 320 with value (4 14) 459 with value (4 41) 23 with value (4 68)
% 44.07/44.28 ; 388 with value (4 15) 330 with value (4 42) 34 with value (4 69)
% 44.07/44.28 ; 469 with value (4 16) 327 with value (4 43) 4 with value (4 70)
% 44.07/44.28 ; 509 with value (4 17) 370 with value (4 44) 2 with value (4 71)
% 44.07/44.28 ; 762 with value (4 18) 234 with value (4 45) 33 with value (4 72)
% 44.07/44.28 ; 907 with value (4 19) 254 with value (4 46) 2 with value (4 73)
% 44.07/44.28 ; 779 with value (4 20) 250 with value (4 47) 8 with value (4 74)
% 44.07/44.28 ; 880 with value (4 21) 231 with value (4 48) 4 with value (4 75)
% 44.07/44.28 ; 998 with value (4 22) 188 with value (4 49) 15 with value (4 76)
% 44.07/44.28 ; 1064 with value (4 23) 250 with value (4 50) 5 with value (4 77)
% 44.07/44.28 ; 946 with value (4 24) 155 with value (4 51) 2 with value (4 78)
% 44.07/44.28 ; 940 with value (4 25) 228 with value (4 52) 8 with value (4 79)
% 44.07/44.28 ; 815 with value (4 26) 170 with value (4 53) 7 with value (4 81)
% 44.07/44.28 ; 642 with value (4 27) 151 with value (4 54) 2 with value (4 83)
% 44.07/44.28 ; 810 with value (4 28) 238 with value (4 55) 2 with value (4 86)
% 44.07/44.28 ; 895 with value (4 29) 84 with value (4 56) 2 with value (4 89)
% 44.07/44.28 ; 850 with value (4 30) 145 with value (4 57)
% 44.07/44.28 Evaluation took:
% 44.07/44.28 43.817 seconds of real time
% 44.07/44.28 41.848587 seconds of user run time
% 44.07/44.28 1.967067 seconds of system run time
% 44.07/44.28 [Run times include 7.416 seconds GC run time.]
% 44.07/44.28 0 calls to %EVAL
% 44.07/44.28 0 page faults and
% 44.07/44.28 3,172,317,752 bytes consed.
% 44.07/44.28 :PROOF-FOUND
% 44.07/44.28 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T18:17:38
% 44.07/44.28 :PROOF-FOUND
% 44.07/44.28 *
%------------------------------------------------------------------------------