TSTP Solution File: SET586+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET586+3 : TPTP v8.1.0. Released v2.2.0.
% 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 05:10:34 EDT 2022
% Result : Theorem 0.23s 0.55s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 8 unt; 1 nHn; 12 RR)
% Number of literals : 20 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
cnf(2,axiom,
( member(X,intersection(Y,Z))
| ~ member(X,Y)
| ~ member(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
cnf(3,axiom,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
cnf(4,axiom,
( subset(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
cnf(5,axiom,
( subset(X,Y)
| ~ member('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
cnf(10,negated_conjecture,
subset('SKOLEMAAAV3','SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersection_of_subset) ).
cnf(11,negated_conjecture,
~ subset(intersection('SKOLEMAAAV3','SKOLEMAAAV5'),intersection('SKOLEMAAAV4','SKOLEMAAAV5')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersection_of_subset) ).
cnf(12,plain,
member('SKOLEMAAAV1'(intersection('SKOLEMAAAV3','SKOLEMAAAV5'),intersection('SKOLEMAAAV4','SKOLEMAAAV5')),intersection('SKOLEMAAAV3','SKOLEMAAAV5')),
inference('HYPERRESOLVE',[status(thm)],[11,4]) ).
cnf(13,plain,
~ member('SKOLEMAAAV1'(intersection('SKOLEMAAAV3','SKOLEMAAAV5'),intersection('SKOLEMAAAV4','SKOLEMAAAV5')),intersection('SKOLEMAAAV4','SKOLEMAAAV5')),
inference('UR-RESOLVE',[status(thm)],[5,11]) ).
cnf(22,plain,
member('SKOLEMAAAV1'(intersection('SKOLEMAAAV3','SKOLEMAAAV5'),intersection('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[1,12]) ).
cnf(23,plain,
member('SKOLEMAAAV1'(intersection('SKOLEMAAAV3','SKOLEMAAAV5'),intersection('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[1,12]) ).
cnf(26,plain,
member('SKOLEMAAAV1'(intersection('SKOLEMAAAV3','SKOLEMAAAV5'),intersection('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[3,22,10]) ).
cnf(38,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2,13,23]),26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET586+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 11 07:17:15 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.23/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.50 *
% 0.23/0.50 *
% 0.23/0.51 #<PACKAGE "SNARK-USER">
% 0.23/0.51 *
% 0.23/0.51 SNARK-TPTP-OPTIONS
% 0.23/0.51 *
% 0.23/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.51 (USE-FACTORING :POS)
% 0.23/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.51 *
% 0.23/0.51 "."
% 0.23/0.51 *
% 0.23/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T07:17:15
% 0.23/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-11T07:17:15
% 0.23/0.52
% 0.23/0.52 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.23/0.55 ; Declaring intersection to be commutative.
% 0.23/0.55
% 0.23/0.55 #||
% 0.23/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.55 % SZS output start Refutation
% See solution above
% 0.23/0.55 ||#
% 0.23/0.55
% 0.23/0.55 ; Summary of computation:
% 0.23/0.55 ; 100 formulas have been input or derived (from 16 formulas).
% 0.23/0.55 ; 38 (38%) were retained. Of these,
% 0.23/0.55 ; 38 (100%) are still being kept.
% 0.23/0.55 ;
% 0.23/0.55 ; Run time in seconds excluding printing time:
% 0.23/0.55 ; 0.002 5% Read assertion file (1 call)
% 0.23/0.55 ; 0.001 3% Assert (6 calls)
% 0.23/0.55 ; 0.004 11% Process new row (70 calls)
% 0.23/0.55 ; 0.005 14% Resolution (30 calls)
% 0.23/0.55 ; 0.000 0% Paramodulation (15 calls)
% 0.23/0.55 ; 0.000 0% Factoring (2 calls)
% 0.23/0.55 ; 0.000 0% Condensing (29 calls)
% 0.23/0.55 ; 0.001 3% Forward subsumption (29 calls)
% 0.23/0.55 ; 0.000 0% Backward subsumption (19 calls)
% 0.23/0.55 ; 0.000 0% Clause clause subsumption (34 calls)
% 0.23/0.55 ; 0.001 3% Forward simplification (70 calls)
% 0.23/0.55 ; 0.000 0% Backward simplification (38 calls)
% 0.23/0.55 ; 0.000 0% Ordering (95 calls)
% 0.23/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.23/0.55 ; 0.000 0% Purity testing (1 call)
% 0.23/0.55 ; 0.023 62% Other
% 0.23/0.55 ; 0.037 Total
% 0.23/0.55 ; 0.040 Real time
% 0.23/0.55 ;
% 0.23/0.55 ; Term-hash-array has 72 terms in all.
% 0.23/0.55 ; Feature-vector-row-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.23/0.55 ; Feature-vector-row-index has 76 nodes (76 at peak, 76 added, 0 deleted).
% 0.23/0.55 ; Retrieved 30 possibly forward subsuming rows in 29 calls.
% 0.23/0.55 ; Retrieved 4 possibly backward subsumed rows in 19 calls.
% 0.23/0.55 ; Path-index has 75 entries (75 at peak, 75 added, 0 deleted).
% 0.23/0.55 ; Path-index has 99 nodes (99 at peak, 99 added, 0 deleted).
% 0.23/0.55 ; Trie-index has 75 entries (75 at peak, 75 added, 0 deleted).
% 0.23/0.55 ; Trie-index has 168 nodes (168 at peak, 168 added, 0 deleted).
% 0.23/0.55 ; Retrieved 21 generalization terms in 75 calls.
% 0.23/0.55 ; Retrieved 22 instance terms in 18 calls.
% 0.23/0.55 ; Retrieved 689 unifiable terms in 162 calls.
% 0.23/0.55 ;
% 0.23/0.55 ; The agenda of rows to process has 2 entries:
% 0.23/0.55 ; 1 with value 16 1 with value 18
% 0.23/0.55 ; The agenda of rows to give has 22 entries:
% 0.23/0.55 ; 4 with value (4 10) 4 with value (4 19) 2 with value (4 22)
% 0.23/0.55 ; 1 with value (4 11) 1 with value (4 20) 3 with value (4 26)
% 0.23/0.55 ; 1 with value (4 15) 2 with value (4 21) 2 with value (4 28)
% 0.23/0.55 ; 2 with value (4 17)
% 0.23/0.55 Evaluation took:
% 0.23/0.55 0.04 seconds of real time
% 0.23/0.55 0.033776 seconds of user run time
% 0.23/0.55 0.005986 seconds of system run time
% 0.23/0.55 0 calls to %EVAL
% 0.23/0.55 0 page faults and
% 0.23/0.55 2,710,320 bytes consed.
% 0.23/0.55 :PROOF-FOUND
% 0.23/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T07:17:15
% 0.23/0.55 :PROOF-FOUND
% 0.23/0.55 *
%------------------------------------------------------------------------------