TSTP Solution File: SET638+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET638+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 05:11:11 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 10 unt; 0 nHn; 7 RR)
% Number of literals : 12 ( 7 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
subset(intersection(X,Y),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_is_subset) ).
cnf(2,axiom,
( ~ subset(X,Y)
| intersection(X,Y) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_intersection) ).
cnf(3,axiom,
union(X,empty_set) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_empty_set) ).
cnf(4,axiom,
intersection(X,union(Y,Z)) = union(intersection(X,Y),intersection(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_distributes_over_union) ).
cnf(21,negated_conjecture,
subset('SKOLEMAAAV4',union('SKOLEMAAAV5','SKOLEMAAAV6')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th120) ).
cnf(22,negated_conjecture,
intersection('SKOLEMAAAV4','SKOLEMAAAV6') = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th120) ).
cnf(23,negated_conjecture,
~ subset('SKOLEMAAAV4','SKOLEMAAAV5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th120) ).
cnf(29,plain,
intersection('SKOLEMAAAV4',union('SKOLEMAAAV5','SKOLEMAAAV6')) = 'SKOLEMAAAV4',
inference('HYPERRESOLVE',[status(thm)],[2,21]) ).
cnf(45,plain,
intersection('SKOLEMAAAV4',union('SKOLEMAAAV6',X)) = intersection('SKOLEMAAAV4',X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4,22,theory(equality)]),3,theory(equality)]) ).
cnf(46,plain,
intersection('SKOLEMAAAV4','SKOLEMAAAV5') = 'SKOLEMAAAV4',
inference('REWRITE',[status(thm)],[29,45,theory(equality)]) ).
cnf(77,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1,46,theory(equality)]),23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET638+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n028.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 : Sun Jul 10 23:58:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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 2022-07-10T23:58:13
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-10T23:58:13
% 0.19/0.48
% 0.19/0.48 ; Recognized right identity assertion (= (|union| ?X |empty_set|) ?X).
% 0.19/0.48 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.19/0.48 ; Declaring intersection to be commutative.
% 0.19/0.53 ; Declaring union to be commutative.
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 262 formulas have been input or derived (from 34 formulas).
% 0.19/0.53 ; 77 (29%) were retained. Of these,
% 0.19/0.53 ; 5 ( 6%) were simplified or subsumed later,
% 0.19/0.53 ; 72 (94%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.003 5% Read assertion file (1 call)
% 0.19/0.53 ; 0.002 3% Assert (15 calls)
% 0.19/0.53 ; 0.010 17% Process new row (218 calls)
% 0.19/0.53 ; 0.008 14% Resolution (66 calls)
% 0.19/0.53 ; 0.000 0% Paramodulation (33 calls)
% 0.19/0.53 ; 0.000 0% Factoring (3 calls)
% 0.19/0.53 ; 0.002 3% Condensing (88 calls)
% 0.19/0.53 ; 0.003 5% Forward subsumption (88 calls)
% 0.19/0.53 ; 0.000 0% Backward subsumption (39 calls)
% 0.19/0.53 ; 0.000 0% Clause clause subsumption (102 calls)
% 0.19/0.53 ; 0.003 5% Forward simplification (218 calls)
% 0.19/0.53 ; 0.002 3% Backward simplification (77 calls)
% 0.19/0.53 ; 0.002 3% Ordering (218 calls)
% 0.19/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.023 40% Other
% 0.19/0.53 ; 0.058 Total
% 0.19/0.53 ; 0.060 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 156 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 38 entries (38 at peak, 39 added, 1 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 113 nodes (117 at peak, 124 added, 11 deleted).
% 0.19/0.53 ; Retrieved 104 possibly forward subsuming rows in 88 calls.
% 0.19/0.53 ; Retrieved 7 possibly backward subsumed rows in 39 calls.
% 0.19/0.53 ; Path-index has 154 entries (154 at peak, 162 added, 8 deleted).
% 0.19/0.53 ; Path-index has 165 nodes (165 at peak, 172 added, 7 deleted).
% 0.19/0.53 ; Trie-index has 154 entries (154 at peak, 162 added, 8 deleted).
% 0.19/0.53 ; Trie-index has 312 nodes (312 at peak, 326 added, 14 deleted).
% 0.19/0.53 ; Retrieved 298 generalization terms in 578 calls.
% 0.19/0.53 ; Retrieved 57 instance terms in 38 calls.
% 0.19/0.53 ; Retrieved 2,108 unifiable terms in 303 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to process has 17 entries:
% 0.19/0.53 ; 4 with value 9 1 with value 13 2 with value 22
% 0.19/0.53 ; 2 with value 10 4 with value 16 2 with value 29
% 0.19/0.53 ; 1 with value 11 1 with value 17
% 0.19/0.53 ; The agenda of rows to give has 38 entries:
% 0.19/0.53 ; 3 with value (4 9) 3 with value (4 16) 4 with value (4 21)
% 0.19/0.53 ; 3 with value (4 10) 1 with value (4 17) 2 with value (4 25)
% 0.19/0.53 ; 4 with value (4 11) 1 with value (4 18) 2 with value (4 26)
% 0.19/0.53 ; 3 with value (4 12) 1 with value (4 19) 2 with value (4 28)
% 0.19/0.53 ; 4 with value (4 13) 1 with value (4 20) 2 with value (4 38)
% 0.19/0.53 ; 2 with value (4 15)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.061 seconds of real time
% 0.19/0.53 0.050089 seconds of user run time
% 0.19/0.53 0.010635 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 3,295,576 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T23:58:13
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------