TSTP Solution File: SET636+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET636+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 05:11:10 EDT 2022
% Result : Theorem 0.49s 0.67s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 25 ( 5 unt; 12 nHn; 15 RR)
% Number of literals : 48 ( 6 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
cnf(2,axiom,
( member(X,intersection(Y,Z))
| ~ member(X,Y)
| ~ member(X,Z) ),
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(6,axiom,
~ member(X,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set_defn) ).
cnf(7,axiom,
( ~ disjoint(X,Y)
| ~ intersect(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjoint_defn) ).
cnf(8,axiom,
( disjoint(X,Y)
| intersect(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjoint_defn) ).
cnf(15,axiom,
( ~ empty(X)
| ~ member(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_defn) ).
cnf(16,axiom,
( empty(X)
| member('SKOLEMAAAV3'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_defn) ).
cnf(19,axiom,
( X = Y
| member('SKOLEMAAAV4'(X,Y),X)
| member('SKOLEMAAAV4'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(20,negated_conjecture,
( ~ disjoint('SKOLEMAAAV5','SKOLEMAAAV6')
| intersection('SKOLEMAAAV5','SKOLEMAAAV6') != empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th118) ).
cnf(21,negated_conjecture,
( disjoint('SKOLEMAAAV5','SKOLEMAAAV6')
| intersection('SKOLEMAAAV5','SKOLEMAAAV6') = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th118) ).
cnf(24,plain,
( empty(intersection(X,Y))
| member('SKOLEMAAAV3'(intersection(X,Y)),X) ),
inference('HYPERRESOLVE',[status(thm)],[1,16]) ).
cnf(25,plain,
~ intersect(empty_set,X),
inference('UR-RESOLVE',[status(thm)],[3,6]) ).
cnf(26,plain,
( disjoint(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
inference('HYPERRESOLVE',[status(thm)],[3,8]) ).
cnf(28,plain,
( disjoint(X,Y)
| member('SKOLEMAAAV1'(X,Y),Y) ),
inference('HYPERRESOLVE',[status(thm)],[4,8]) ).
cnf(36,plain,
( empty_set = X
| member('SKOLEMAAAV4'(empty_set,X),X) ),
inference('HYPERRESOLVE',[status(thm)],[6,19]) ).
cnf(64,plain,
( disjoint(X,Y)
| member('SKOLEMAAAV1'(X,Y),intersection(X,Y)) ),
inference('HYPERRESOLVE',[status(thm)],[2,28,26]) ).
cnf(136,plain,
( disjoint(X,Y)
| intersect(intersection(X,Y),Y) ),
inference('HYPERRESOLVE',[status(thm)],[5,64,28]) ).
cnf(187,plain,
( empty(intersection(X,Y))
| intersect(X,Y) ),
inference('HYPERRESOLVE',[status(thm)],[5,24,24]) ).
cnf(196,plain,
( empty(intersection('SKOLEMAAAV5','SKOLEMAAAV6'))
| intersection('SKOLEMAAAV5','SKOLEMAAAV6') = empty_set ),
inference('HYPERRESOLVE',[status(thm)],[7,187,21]) ).
cnf(246,plain,
intersection('SKOLEMAAAV5','SKOLEMAAAV6') = empty_set,
inference('HYPERRESOLVE',[status(thm)],[15,196,36]) ).
cnf(247,plain,
~ disjoint('SKOLEMAAAV5','SKOLEMAAAV6'),
inference('REWRITE',[status(thm)],[20,246,theory(equality)]) ).
cnf(255,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[136,247]),25,246,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET636+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n022.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 : Mon Jul 11 04:14:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T04:14:25
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-11T04:14:25
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.19/0.49 ; Recognized commutativity assertion (OR (NOT (|intersect| ?X ?Y)) (|intersect| ?Y ?X)).
% 0.19/0.49 ; Declaring intersection to be commutative.
% 0.49/0.67 ; Declaring intersect to be commutative.
% 0.49/0.67
% 0.49/0.67 #||
% 0.49/0.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.67 % SZS output start Refutation
% See solution above
% 0.49/0.67 ||#
% 0.49/0.67
% 0.49/0.67 ; Summary of computation:
% 0.49/0.67 ; 1496 formulas have been input or derived (from 85 formulas).
% 0.49/0.67 ; 255 (17%) were retained. Of these,
% 0.49/0.67 ; 8 ( 3%) were simplified or subsumed later,
% 0.49/0.67 ; 247 (97%) are still being kept.
% 0.49/0.67 ;
% 0.49/0.67 ; Run time in seconds excluding printing time:
% 0.49/0.67 ; 0.003 2% Read assertion file (1 call)
% 0.49/0.67 ; 0.001 1% Assert (12 calls)
% 0.49/0.67 ; 0.030 16% Process new row (1,193 calls)
% 0.49/0.67 ; 0.022 12% Resolution (168 calls)
% 0.49/0.67 ; 0.004 2% Paramodulation (84 calls)
% 0.49/0.67 ; 0.000 0% Factoring (60 calls)
% 0.49/0.67 ; 0.012 6% Condensing (914 calls)
% 0.49/0.67 ; 0.035 19% Forward subsumption (914 calls)
% 0.49/0.67 ; 0.006 3% Backward subsumption (233 calls)
% 0.49/0.67 ; 0.025 13% Clause clause subsumption (8,688 calls)
% 0.49/0.67 ; 0.019 10% Forward simplification (1,175 calls)
% 0.49/0.67 ; 0.001 1% Backward simplification (255 calls)
% 0.49/0.67 ; 0.003 2% Ordering (893 calls)
% 0.49/0.67 ; 0.000 0% Sortal reasoning (32 calls)
% 0.49/0.67 ; 0.000 0% Purity testing (1 call)
% 0.49/0.67 ; 0.028 15% Other
% 0.49/0.67 ; 0.189 Total
% 0.49/0.67 ; 0.195 Real time
% 0.49/0.67 ;
% 0.49/0.67 ; Term-hash-array has 290 terms in all.
% 0.49/0.67 ; Feature-vector-row-index has 229 entries (233 at peak, 233 added, 4 deleted).
% 0.49/0.67 ; Feature-vector-row-index has 227 nodes (260 at peak, 260 added, 33 deleted).
% 0.49/0.67 ; Retrieved 18,122 possibly forward subsuming rows in 914 calls.
% 0.49/0.67 ; Retrieved 1,534 possibly backward subsumed rows in 233 calls.
% 0.49/0.67 ; Path-index has 286 entries (286 at peak, 294 added, 8 deleted).
% 0.49/0.67 ; Path-index has 165 nodes (165 at peak, 177 added, 12 deleted).
% 0.49/0.67 ; Trie-index has 286 entries (286 at peak, 294 added, 8 deleted).
% 0.49/0.67 ; Trie-index has 431 nodes (431 at peak, 449 added, 18 deleted).
% 0.49/0.67 ; Retrieved 489 generalization terms in 3,773 calls.
% 0.49/0.67 ; Retrieved 26 instance terms in 21 calls.
% 0.49/0.67 ; Retrieved 6,808 unifiable terms in 721 calls.
% 0.49/0.67 ;
% 0.49/0.67 ; The agenda of rows to process has 19 entries:
% 0.49/0.67 ; 7 with value 11 6 with value 12 6 with value 13
% 0.49/0.67 ; The agenda of rows to give has 167 entries:
% 0.49/0.67 ; 1 with value (4 5) 28 with value (4 19) 1 with value (4 25)
% 0.49/0.67 ; 2 with value (4 7) 27 with value (4 20) 13 with value (4 26)
% 0.49/0.67 ; 4 with value (4 9) 22 with value (4 21) 3 with value (4 27)
% 0.49/0.67 ; 1 with value (4 11) 21 with value (4 22) 2 with value (4 28)
% 0.49/0.67 ; 3 with value (4 16) 7 with value (4 23) 1 with value (4 29)
% 0.49/0.67 ; 4 with value (4 17) 7 with value (4 24) 1 with value (4 32)
% 0.49/0.67 ; 19 with value (4 18)
% 0.49/0.67 Evaluation took:
% 0.49/0.67 0.196 seconds of real time
% 0.49/0.67 0.16584 seconds of user run time
% 0.49/0.67 0.029902 seconds of system run time
% 0.49/0.67 [Run times include 0.005 seconds GC run time.]
% 0.49/0.67 0 calls to %EVAL
% 0.49/0.67 0 page faults and
% 0.49/0.67 14,077,840 bytes consed.
% 0.49/0.67 :PROOF-FOUND
% 0.49/0.67 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T04:14:25
% 0.49/0.67 :PROOF-FOUND
% 0.49/0.67 *
%------------------------------------------------------------------------------