TSTP Solution File: SET626+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET626+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 05:11:03 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 16 ( 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 : 11 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
cnf(3,axiom,
( ~ intersect(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_defn) ).
cnf(4,axiom,
( ~ intersect(X,Y)
| member('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_defn) ).
cnf(5,axiom,
( intersect(X,Y)
| ~ member(Z,X)
| ~ member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_defn) ).
cnf(9,negated_conjecture,
intersect('SKOLEMAAAV3',intersection('SKOLEMAAAV4','SKOLEMAAAV5')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th102) ).
cnf(10,negated_conjecture,
~ intersect('SKOLEMAAAV3','SKOLEMAAAV4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th102) ).
cnf(11,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV3',intersection('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[3,9]) ).
cnf(14,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV3',intersection('SKOLEMAAAV4','SKOLEMAAAV5')),intersection('SKOLEMAAAV4','SKOLEMAAAV5')),
inference('HYPERRESOLVE',[status(thm)],[4,9]) ).
cnf(22,plain,
~ member('SKOLEMAAAV1'('SKOLEMAAAV3',intersection('SKOLEMAAAV4','SKOLEMAAAV5')),'SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[5,11,10]) ).
cnf(31,plain,
~ member('SKOLEMAAAV1'('SKOLEMAAAV3',intersection('SKOLEMAAAV4','SKOLEMAAAV5')),intersection('SKOLEMAAAV4',X)),
inference('UR-RESOLVE',[status(thm)],[1,22]) ).
cnf(32,plain,
$false,
inference('REWRITE',[status(thm)],[14,31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET626+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n012.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 : Mon Jul 11 08:50:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T08:50:58
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-11T08:50:58
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.20/0.50 ; Recognized commutativity assertion (OR (NOT (|intersect| ?X ?Y)) (|intersect| ?Y ?X)).
% 0.20/0.50 ; Declaring intersection to be commutative.
% 0.20/0.52 ; Declaring intersect to be commutative.
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 98 formulas have been input or derived (from 18 formulas).
% 0.20/0.52 ; 32 (33%) were retained. Of these,
% 0.20/0.52 ; 1 ( 3%) were simplified or subsumed later,
% 0.20/0.52 ; 31 (97%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.53 ; Run time in seconds excluding printing time:
% 0.20/0.53 ; 0.002 6% Read assertion file (1 call)
% 0.20/0.53 ; 0.001 3% Assert (6 calls)
% 0.20/0.53 ; 0.004 11% Process new row (56 calls)
% 0.20/0.53 ; 0.002 6% Resolution (34 calls)
% 0.20/0.53 ; 0.000 0% Paramodulation (17 calls)
% 0.20/0.53 ; 0.000 0% Factoring (1 call)
% 0.20/0.53 ; 0.001 3% Condensing (23 calls)
% 0.20/0.53 ; 0.001 3% Forward subsumption (23 calls)
% 0.20/0.53 ; 0.000 0% Backward subsumption (14 calls)
% 0.20/0.53 ; 0.000 0% Clause clause subsumption (29 calls)
% 0.20/0.53 ; 0.000 0% Forward simplification (56 calls)
% 0.20/0.53 ; 0.001 3% Backward simplification (32 calls)
% 0.20/0.53 ; 0.001 3% Ordering (80 calls)
% 0.20/0.53 ; 0.001 3% Sortal reasoning (32 calls)
% 0.20/0.53 ; 0.000 0% Purity testing (1 call)
% 0.20/0.53 ; 0.021 60% Other
% 0.20/0.53 ; 0.035 Total
% 0.20/0.53 ; 0.037 Real time
% 0.20/0.53 ;
% 0.20/0.53 ; Term-hash-array has 52 terms in all.
% 0.20/0.53 ; Feature-vector-row-index has 14 entries (14 at peak, 14 added, 0 deleted).
% 0.20/0.53 ; Feature-vector-row-index has 29 nodes (29 at peak, 29 added, 0 deleted).
% 0.20/0.53 ; Retrieved 27 possibly forward subsuming rows in 23 calls.
% 0.20/0.53 ; Retrieved 4 possibly backward subsumed rows in 14 calls.
% 0.20/0.53 ; Path-index has 54 entries (55 at peak, 55 added, 1 deleted).
% 0.20/0.53 ; Path-index has 78 nodes (78 at peak, 78 added, 0 deleted).
% 0.20/0.53 ; Trie-index has 54 entries (55 at peak, 55 added, 1 deleted).
% 0.20/0.53 ; Trie-index has 111 nodes (112 at peak, 112 added, 1 deleted).
% 0.20/0.53 ; Retrieved 8 generalization terms in 52 calls.
% 0.20/0.53 ; Retrieved 20 instance terms in 17 calls.
% 0.20/0.53 ; Retrieved 715 unifiable terms in 181 calls.
% 0.20/0.53 ;
% 0.20/0.53 ; The agenda of rows to give has 13 entries:
% 0.20/0.53 ; 1 with value (4 12) 1 with value (4 15) 2 with value (4 21)
% 0.20/0.53 ; 2 with value (4 13) 2 with value (4 16) 2 with value (4 28)
% 0.20/0.53 ; 3 with value (4 14)
% 0.20/0.53 Evaluation took:
% 0.20/0.53 0.038 seconds of real time
% 0.20/0.53 0.031047 seconds of user run time
% 0.20/0.53 0.006047 seconds of system run time
% 0.20/0.53 0 calls to %EVAL
% 0.20/0.53 0 page faults and
% 0.20/0.53 2,370,224 bytes consed.
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T08:50:58
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
%------------------------------------------------------------------------------