TSTP Solution File: SEU167+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU167+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 14:19:45 EDT 2022
% Result : Theorem 47.42s 47.62s
% Output : Refutation 47.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 5 RR)
% Number of literals : 13 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(84,axiom,
( ~ subset(X,Y)
| subset(cartesian_product2(X,Z),cartesian_product2(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_zfmisc_1) ).
cnf(85,axiom,
( ~ subset(X,Y)
| subset(cartesian_product2(Z,X),cartesian_product2(Z,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_zfmisc_1) ).
cnf(86,negated_conjecture,
subset('SKOLEMAAAV19','SKOLEMAAAV20'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t119_zfmisc_1) ).
cnf(87,negated_conjecture,
subset('SKOLEMAAAV21','SKOLEMAAAV22'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t119_zfmisc_1) ).
cnf(88,negated_conjecture,
~ subset(cartesian_product2('SKOLEMAAAV19','SKOLEMAAAV21'),cartesian_product2('SKOLEMAAAV20','SKOLEMAAAV22')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t119_zfmisc_1) ).
cnf(93,axiom,
( ~ subset(X,Y)
| ~ subset(Y,Z)
| subset(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
cnf(286,plain,
subset(cartesian_product2('SKOLEMAAAV19',X),cartesian_product2('SKOLEMAAAV20',X)),
inference('HYPERRESOLVE',[status(thm)],[84,86]) ).
cnf(291,plain,
subset(cartesian_product2(X,'SKOLEMAAAV21'),cartesian_product2(X,'SKOLEMAAAV22')),
inference('HYPERRESOLVE',[status(thm)],[85,87]) ).
cnf(8397,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[93,286,88]),291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU167+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 20 09:54:22 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T09:54:22
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-20T09:54:22
% 0.21/0.53
% 0.21/0.53 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.21/0.53 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.21/0.53 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.21/0.54 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.21/0.54 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.21/0.54 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.21/0.54 ; Declaring unordered_pair to be commutative.
% 0.21/0.54 ; Declaring set_union2 to be commutative.
% 0.21/0.54 ; Declaring set_intersection2 to be commutative.
% 47.42/47.62 ; Declaring disjoint to be commutative.
% 47.42/47.62
% 47.42/47.62 #||
% 47.42/47.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 47.42/47.62 % SZS output start Refutation
% See solution above
% 47.42/47.62 ||#
% 47.42/47.62
% 47.42/47.62 ; Summary of computation:
% 47.42/47.62 ; 199215 formulas have been input or derived (from 226 formulas).
% 47.42/47.62 ; 8397 ( 4%) were retained. Of these,
% 47.42/47.62 ; 296 ( 4%) were simplified or subsumed later,
% 47.42/47.62 ; 8101 (96%) are still being kept.
% 47.42/47.62 ;
% 47.42/47.62 ; Run time in seconds:
% 47.42/47.62 ; 0.017 0% Read assertion file (1 call)
% 47.42/47.62 ; 0.006 0% Assert (97 calls)
% 47.42/47.62 ; 1.678 4% Process new row (195,716 calls)
% 47.42/47.62 ; 22.358 47% Resolution (450 calls)
% 47.42/47.62 ; 0.027 0% Paramodulation (225 calls)
% 47.42/47.62 ; 0.000 0% Factoring (27 calls)
% 47.42/47.62 ; 2.399 5% Condensing (147,896 calls)
% 47.42/47.62 ; 9.374 20% Forward subsumption (147,896 calls)
% 47.42/47.62 ; 0.404 1% Backward subsumption (5,867 calls)
% 47.42/47.62 ; 2.299 5% Clause clause subsumption (440,413 calls)
% 47.42/47.62 ; 7.282 15% Forward simplification (195,715 calls)
% 47.42/47.62 ; 0.047 0% Backward simplification (8,394 calls)
% 47.42/47.62 ; 0.539 1% Ordering (233,815 calls)
% 47.42/47.62 ; 0.000 0% Sortal reasoning (32 calls)
% 47.42/47.62 ; 0.000 0% Purity testing (1 call)
% 47.42/47.62 ; 0.684 1% Other
% 47.42/47.62 ; 47.114 Total
% 47.42/47.62 ; 47.112 Real time
% 47.42/47.62 ;
% 47.42/47.62 ; Term-hash-array has 17,758 terms in all.
% 47.42/47.62 ; Feature-vector-row-index has 5,722 entries (5,722 at peak, 5,867 added, 145 deleted).
% 47.42/47.62 ; Feature-vector-row-index has 20,794 nodes (20,794 at peak, 21,518 added, 724 deleted).
% 47.42/47.62 ; Retrieved 1,698,086 possibly forward subsuming rows in 147,896 calls.
% 47.42/47.62 ; Retrieved 15,468 possibly backward subsumed rows in 5,867 calls.
% 47.42/47.62 ; Path-index has 17,555 entries (17,555 at peak, 18,090 added, 535 deleted).
% 47.42/47.62 ; Path-index has 21,192 nodes (21,192 at peak, 21,459 added, 267 deleted).
% 47.42/47.62 ; Trie-index has 17,555 entries (17,555 at peak, 18,090 added, 535 deleted).
% 47.42/47.62 ; Trie-index has 50,983 nodes (50,983 at peak, 52,481 added, 1,498 deleted).
% 47.42/47.62 ; Retrieved 986,443 generalization terms in 1,767,579 calls.
% 47.42/47.62 ; Retrieved 4,997 instance terms in 2,527 calls.
% 47.42/47.62 ; Retrieved 41,986,839 unifiable terms in 43,811 calls.
% 47.42/47.62 ;
% 47.42/47.62 ; The agenda of rows to process has 112 entries:
% 47.42/47.62 ; 4 with value 11 3 with value 22 2 with value 35
% 47.42/47.62 ; 1 with value 13 3 with value 24 2 with value 36
% 47.42/47.62 ; 14 with value 14 3 with value 25 4 with value 38
% 47.42/47.62 ; 3 with value 15 1 with value 26 1 with value 39
% 47.42/47.62 ; 22 with value 16 2 with value 29 1 with value 41
% 47.42/47.62 ; 5 with value 17 3 with value 31 2 with value 46
% 47.42/47.62 ; 5 with value 19 2 with value 32 2 with value 47
% 47.42/47.62 ; 7 with value 20 2 with value 33 1 with value 48
% 47.42/47.62 ; 15 with value 21 2 with value 34
% 47.42/47.62 ; The agenda of rows to give has 7876 entries:
% 47.42/47.62 ; 1 with value (4 9) 166 with value (4 35) 37 with value (4 61)
% 47.42/47.62 ; 54 with value (4 10) 147 with value (4 36) 33 with value (4 62)
% 47.42/47.62 ; 91 with value (4 11) 161 with value (4 37) 48 with value (4 63)
% 47.42/47.62 ; 172 with value (4 12) 132 with value (4 38) 40 with value (4 64)
% 47.42/47.62 ; 238 with value (4 13) 203 with value (4 39) 19 with value (4 65)
% 47.42/47.62 ; 323 with value (4 14) 119 with value (4 40) 37 with value (4 66)
% 47.42/47.62 ; 345 with value (4 15) 120 with value (4 41) 24 with value (4 67)
% 47.42/47.62 ; 284 with value (4 16) 161 with value (4 42) 16 with value (4 68)
% 47.42/47.62 ; 283 with value (4 17) 145 with value (4 43) 15 with value (4 69)
% 47.42/47.62 ; 250 with value (4 18) 122 with value (4 44) 13 with value (4 70)
% 47.42/47.62 ; 282 with value (4 19) 146 with value (4 45) 20 with value (4 71)
% 47.42/47.62 ; 186 with value (4 20) 92 with value (4 46) 21 with value (4 72)
% 47.42/47.62 ; 212 with value (4 21) 126 with value (4 47) 13 with value (4 73)
% 47.42/47.62 ; 161 with value (4 22) 91 with value (4 48) 14 with value (4 74)
% 47.42/47.62 ; 113 with value (4 23) 84 with value (4 49) 6 with value (4 75)
% 47.42/47.62 ; 110 with value (4 24) 131 with value (4 50) 8 with value (4 76)
% 47.42/47.62 ; 106 with value (4 25) 75 with value (4 51) 13 with value (4 77)
% 47.42/47.62 ; 159 with value (4 26) 82 with value (4 52) 6 with value (4 78)
% 47.42/47.62 ; 95 with value (4 27) 75 with value (4 53) 5 with value (4 79)
% 47.42/47.62 ; 166 with value (4 28) 72 with value (4 54) 1 with value (4 80)
% 47.42/47.62 ; 110 with value (4 29) 101 with value (4 55) 1 with value (4 81)
% 47.42/47.62 ; 178 with value (4 30) 61 with value (4 56) 4 with value (4 83)
% 47.42/47.62 ; 192 with value (4 31) 58 with value (4 57) 8 with value (4 84)
% 47.42/47.62 ; 142 with value (4 32) 91 with value (4 58) 4 with value (4 85)
% 47.42/47.62 ; 156 with value (4 33) 47 with value (4 59) 2 with value (4 86)
% 47.42/47.62 ; 206 with value (4 34) 43 with value (4 60) 2 with value (4 87)
% 47.42/47.62 Evaluation took:
% 47.42/47.62 47.116 seconds of real time
% 47.42/47.62 44.82596 seconds of user run time
% 47.42/47.62 2.291058 seconds of system run time
% 47.42/47.62 [Run times include 4.175 seconds GC run time.]
% 47.42/47.62 0 calls to %EVAL
% 47.42/47.62 0 page faults and
% 47.42/47.62 2,895,742,280 bytes consed.
% 47.42/47.62 :PROOF-FOUND
% 47.42/47.62 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T09:55:09
% 47.42/47.62 :PROOF-FOUND
% 47.42/47.62 *
%------------------------------------------------------------------------------