TSTP Solution File: SET984+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET984+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 05:13:50 EDT 2022
% Result : Theorem 0.47s 0.71s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 13 unt; 2 nHn; 15 RR)
% Number of literals : 29 ( 21 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( cartesian_product2(X,Y) = empty_set
| X != empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t113_zfmisc_1) ).
cnf(8,axiom,
( cartesian_product2(X,Y) = empty_set
| Y != empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t113_zfmisc_1) ).
cnf(9,axiom,
cartesian_product2(set_intersection2(X,Y),set_intersection2(Z,U)) = set_intersection2(cartesian_product2(X,Z),cartesian_product2(Y,U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t123_zfmisc_1) ).
cnf(10,axiom,
( cartesian_product2(X,Y) != cartesian_product2(Z,U)
| X = empty_set
| Y = empty_set
| X = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t134_zfmisc_1) ).
cnf(11,axiom,
( cartesian_product2(X,Y) != cartesian_product2(Z,U)
| X = empty_set
| Y = empty_set
| Y = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t134_zfmisc_1) ).
cnf(12,negated_conjecture,
subset(cartesian_product2('SKOLEMAAAW3','SKOLEMAAAW4'),cartesian_product2('SKOLEMAAAW5','SKOLEMAAAW6')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t138_zfmisc_1) ).
cnf(13,negated_conjecture,
cartesian_product2('SKOLEMAAAW3','SKOLEMAAAW4') != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t138_zfmisc_1) ).
cnf(14,negated_conjecture,
( ~ subset('SKOLEMAAAW3','SKOLEMAAAW5')
| ~ subset('SKOLEMAAAW4','SKOLEMAAAW6') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t138_zfmisc_1) ).
cnf(15,axiom,
subset(set_intersection2(X,Y),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
cnf(16,axiom,
( ~ subset(X,Y)
| set_intersection2(X,Y) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1) ).
cnf(17,plain,
'SKOLEMAAAW3' != empty_set,
inference('UR-RESOLVE',[status(thm)],[7,13]) ).
cnf(19,plain,
'SKOLEMAAAW4' != empty_set,
inference('UR-RESOLVE',[status(thm)],[8,13]) ).
cnf(22,plain,
cartesian_product2(set_intersection2('SKOLEMAAAW3','SKOLEMAAAW5'),set_intersection2('SKOLEMAAAW4','SKOLEMAAAW6')) = cartesian_product2('SKOLEMAAAW3','SKOLEMAAAW4'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,12]),9,theory(equality)]) ).
cnf(554,plain,
'SKOLEMAAAW4' = set_intersection2('SKOLEMAAAW4','SKOLEMAAAW6'),
inference('UR-RESOLVE',[status(thm)],[11,22,17,19]) ).
cnf(555,plain,
cartesian_product2(set_intersection2('SKOLEMAAAW3','SKOLEMAAAW5'),'SKOLEMAAAW4') = cartesian_product2('SKOLEMAAAW3','SKOLEMAAAW4'),
inference('REWRITE',[status(thm)],[22,554,theory(equality)]) ).
cnf(556,plain,
subset('SKOLEMAAAW4','SKOLEMAAAW6'),
inference('PARAMODULATE',[status(thm)],[15,554,theory(equality)]) ).
cnf(557,plain,
~ subset('SKOLEMAAAW3','SKOLEMAAAW5'),
inference('REWRITE',[status(thm)],[14,556]) ).
cnf(558,plain,
'SKOLEMAAAW3' = set_intersection2('SKOLEMAAAW3','SKOLEMAAAW5'),
inference('UR-RESOLVE',[status(thm)],[10,555,17,19]) ).
cnf(559,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[15,558,theory(equality)]),557]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET984+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n005.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 : Sun Jul 10 06:36:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T06:36:22
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-10T06:36:22
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.47/0.71 ; Declaring set_intersection2 to be commutative.
% 0.47/0.71
% 0.47/0.71 #||
% 0.47/0.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.71 % SZS output start Refutation
% See solution above
% 0.47/0.72 ||#
% 0.47/0.72
% 0.47/0.72 ; Summary of computation:
% 0.47/0.72 ; 3561 formulas have been input or derived (from 48 formulas).
% 0.47/0.72 ; 559 (16%) were retained. Of these,
% 0.47/0.72 ; 3 ( 1%) were simplified or subsumed later,
% 0.47/0.72 ; 556 (99%) are still being kept.
% 0.47/0.72 ;
% 0.47/0.72 ; Run time in seconds excluding printing time:
% 0.47/0.72 ; 0.003 1% Read assertion file (1 call)
% 0.47/0.72 ; 0.000 0% Assert (12 calls)
% 0.47/0.72 ; 0.034 15% Process new row (2,950 calls)
% 0.47/0.72 ; 0.084 37% Resolution (94 calls)
% 0.47/0.72 ; 0.005 2% Paramodulation (47 calls)
% 0.47/0.72 ; 0.000 0% Condensing (11 calls)
% 0.47/0.72 ; 0.001 0% Forward subsumption (11 calls)
% 0.47/0.72 ; 0.000 0% Backward subsumption (7 calls)
% 0.47/0.72 ; 0.001 0% Clause clause subsumption (8 calls)
% 0.47/0.72 ; 0.048 21% Forward simplification (2,925 calls)
% 0.47/0.72 ; 0.010 4% Backward simplification (559 calls)
% 0.47/0.72 ; 0.001 0% Ordering (201 calls)
% 0.47/0.72 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.72 ; 0.000 0% Purity testing (1 call)
% 0.47/0.72 ; 0.039 17% Other
% 0.47/0.72 ; 0.226 Total
% 0.47/0.72 ; 0.238 Real time
% 0.47/0.72 ;
% 0.47/0.72 ; Term-hash-array has 1,113 terms in all.
% 0.47/0.72 ; Feature-vector-row-index has 6 entries (7 at peak, 7 added, 1 deleted).
% 0.47/0.72 ; Feature-vector-row-index has 21 nodes (27 at peak, 27 added, 6 deleted).
% 0.47/0.72 ; Retrieved 6 possibly forward subsuming rows in 11 calls.
% 0.47/0.72 ; Retrieved 2 possibly backward subsumed rows in 7 calls.
% 0.47/0.72 ; Path-index has 1,116 entries (1,118 at peak, 1,122 added, 6 deleted).
% 0.47/0.72 ; Path-index has 192 nodes (198 at peak, 208 added, 16 deleted).
% 0.47/0.72 ; Trie-index has 1,116 entries (1,118 at peak, 1,122 added, 6 deleted).
% 0.47/0.72 ; Trie-index has 2,645 nodes (2,655 at peak, 2,671 added, 26 deleted).
% 0.47/0.72 ; Retrieved 3,444 generalization terms in 12,902 calls.
% 0.47/0.72 ; Retrieved 553 instance terms in 553 calls.
% 0.47/0.72 ; Retrieved 155,201 unifiable terms in 3,832 calls.
% 0.47/0.72 ;
% 0.47/0.72 ; The agenda of rows to process has 2 entries:
% 0.47/0.72 ; 2 with value 10
% 0.47/0.72 ; The agenda of rows to give has 511 entries:
% 0.47/0.72 ; 16 with value (4 15) 34 with value (4 18) 240 with value (4 21)
% 0.47/0.72 ; 16 with value (4 16) 98 with value (4 19) 8 with value (4 22)
% 0.47/0.72 ; 52 with value (4 17) 22 with value (4 20) 25 with value (4 23)
% 0.47/0.72 Evaluation took:
% 0.47/0.72 0.238 seconds of real time
% 0.47/0.72 0.213723 seconds of user run time
% 0.47/0.72 0.024838 seconds of system run time
% 0.47/0.72 [Run times include 0.01 seconds GC run time.]
% 0.47/0.72 0 calls to %EVAL
% 0.47/0.72 0 page faults and
% 0.47/0.72 13,167,448 bytes consed.
% 0.47/0.72 :PROOF-FOUND
% 0.47/0.72 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T06:36:22
% 0.47/0.72 :PROOF-FOUND
% 0.47/0.72 *
%------------------------------------------------------------------------------