TSTP Solution File: SET587+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET587+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 0.41s 0.62s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 23 ( 6 unt; 11 nHn; 14 RR)
% Number of literals : 45 ( 9 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ member(X,difference(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
cnf(4,axiom,
( ~ member(X,difference(Y,Z))
| ~ member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
cnf(5,axiom,
( member(X,difference(Y,Z))
| ~ member(X,Y)
| member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
cnf(6,axiom,
~ member(X,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set_defn) ).
cnf(7,axiom,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(8,axiom,
( subset(X,Y)
| member('SKOLEMAAAV2'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(9,axiom,
( subset(X,Y)
| ~ member('SKOLEMAAAV2'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
cnf(14,axiom,
( X = Y
| member('SKOLEMAAAV3'(X,Y),X)
| member('SKOLEMAAAV3'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(16,axiom,
( ~ empty(X)
| ~ member(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_defn) ).
cnf(17,axiom,
( empty(X)
| member('SKOLEMAAAV4'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_defn) ).
cnf(18,negated_conjecture,
( difference('SKOLEMAAAV5','SKOLEMAAAV6') != empty_set
| ~ subset('SKOLEMAAAV5','SKOLEMAAAV6') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_difference_empty_set) ).
cnf(19,negated_conjecture,
( difference('SKOLEMAAAV5','SKOLEMAAAV6') = empty_set
| subset('SKOLEMAAAV5','SKOLEMAAAV6') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_difference_empty_set) ).
cnf(22,plain,
( empty(difference(X,Y))
| member('SKOLEMAAAV4'(difference(X,Y)),X) ),
inference('HYPERRESOLVE',[status(thm)],[3,17]) ).
cnf(39,plain,
( empty_set = X
| member('SKOLEMAAAV3'(empty_set,X),X) ),
inference('HYPERRESOLVE',[status(thm)],[6,14]) ).
cnf(62,plain,
( empty_set = X
| member('SKOLEMAAAV2'(X,Y),X)
| member('SKOLEMAAAV3'(empty_set,X),Y) ),
inference('HYPERRESOLVE',[status(thm)],[7,39,8]) ).
cnf(74,plain,
( empty(difference('SKOLEMAAAV5',X))
| difference('SKOLEMAAAV5','SKOLEMAAAV6') = empty_set
| member('SKOLEMAAAV4'(difference('SKOLEMAAAV5',X)),'SKOLEMAAAV6') ),
inference('HYPERRESOLVE',[status(thm)],[7,22,19]) ).
cnf(123,plain,
( empty_set = difference(X,Y)
| member('SKOLEMAAAV2'(difference(X,Y),Y),difference(X,Y)) ),
inference('HYPERRESOLVE',[status(thm)],[4,62,39]) ).
cnf(187,plain,
( empty(difference('SKOLEMAAAV5','SKOLEMAAAV6'))
| difference('SKOLEMAAAV5','SKOLEMAAAV6') = empty_set ),
inference('HYPERRESOLVE',[status(thm)],[4,74,17]) ).
cnf(190,plain,
difference('SKOLEMAAAV5','SKOLEMAAAV6') = empty_set,
inference('HYPERRESOLVE',[status(thm)],[16,187,123]) ).
cnf(191,plain,
~ subset('SKOLEMAAAV5','SKOLEMAAAV6'),
inference('REWRITE',[status(thm)],[18,190,theory(equality)]) ).
cnf(193,plain,
member('SKOLEMAAAV2'('SKOLEMAAAV5','SKOLEMAAAV6'),'SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[191,8]) ).
cnf(194,plain,
~ member('SKOLEMAAAV2'('SKOLEMAAAV5','SKOLEMAAAV6'),'SKOLEMAAAV6'),
inference('UR-RESOLVE',[status(thm)],[9,191]) ).
cnf(216,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5,194,193]),6,190,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET587+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n008.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 : Sat Jul 9 18:31:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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 2022-07-09T18:31:23
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-09T18:31:23
% 0.41/0.62
% 0.41/0.62
% 0.41/0.62 #||
% 0.41/0.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.62 % SZS output start Refutation
% See solution above
% 0.41/0.62 ||#
% 0.41/0.62
% 0.41/0.62 ; Summary of computation:
% 0.41/0.62 ; 1115 formulas have been input or derived (from 72 formulas).
% 0.41/0.62 ; 216 (19%) were retained. Of these,
% 0.41/0.62 ; 53 (25%) were simplified or subsumed later,
% 0.41/0.62 ; 163 (75%) are still being kept.
% 0.41/0.62 ;
% 0.41/0.62 ; Run time in seconds excluding printing time:
% 0.41/0.62 ; 0.002 1% Read assertion file (1 call)
% 0.41/0.62 ; 0.001 1% Assert (9 calls)
% 0.41/0.62 ; 0.027 19% Process new row (961 calls)
% 0.41/0.62 ; 0.024 17% Resolution (142 calls)
% 0.41/0.62 ; 0.004 3% Paramodulation (71 calls)
% 0.41/0.62 ; 0.000 0% Factoring (42 calls)
% 0.41/0.62 ; 0.007 5% Condensing (451 calls)
% 0.41/0.62 ; 0.017 12% Forward subsumption (451 calls)
% 0.41/0.62 ; 0.004 3% Backward subsumption (180 calls)
% 0.41/0.62 ; 0.009 6% Clause clause subsumption (1,297 calls)
% 0.41/0.62 ; 0.013 9% Forward simplification (897 calls)
% 0.41/0.62 ; 0.002 1% Backward simplification (216 calls)
% 0.41/0.62 ; 0.005 4% Ordering (2,245 calls)
% 0.41/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.41/0.62 ; 0.000 0% Purity testing (1 call)
% 0.41/0.62 ; 0.025 18% Other
% 0.41/0.62 ; 0.140 Total
% 0.41/0.62 ; 0.143 Real time
% 0.41/0.62 ;
% 0.41/0.62 ; Term-hash-array has 302 terms in all.
% 0.41/0.62 ; Feature-vector-row-index has 131 entries (178 at peak, 180 added, 49 deleted).
% 0.41/0.62 ; Feature-vector-row-index has 284 nodes (569 at peak, 583 added, 299 deleted).
% 0.41/0.62 ; Retrieved 1,496 possibly forward subsuming rows in 451 calls.
% 0.41/0.62 ; Retrieved 120 possibly backward subsumed rows in 180 calls.
% 0.41/0.62 ; Path-index has 228 entries (276 at peak, 320 added, 92 deleted).
% 0.41/0.62 ; Path-index has 308 nodes (325 at peak, 358 added, 50 deleted).
% 0.41/0.62 ; Trie-index has 228 entries (276 at peak, 320 added, 92 deleted).
% 0.41/0.62 ; Trie-index has 459 nodes (549 at peak, 630 added, 171 deleted).
% 0.41/0.62 ; Retrieved 1,482 generalization terms in 2,476 calls.
% 0.41/0.62 ; Retrieved 50 instance terms in 35 calls.
% 0.41/0.62 ; Retrieved 6,696 unifiable terms in 815 calls.
% 0.41/0.62 ;
% 0.41/0.62 ; The agenda of rows to give has 105 entries:
% 0.41/0.62 ; 1 with value (4 9) 1 with value (4 18) 13 with value (4 30)
% 0.41/0.62 ; 5 with value (4 10) 5 with value (4 24) 4 with value (4 31)
% 0.41/0.62 ; 5 with value (4 11) 2 with value (4 25) 4 with value (4 32)
% 0.41/0.62 ; 4 with value (4 12) 9 with value (4 26) 10 with value (4 33)
% 0.41/0.62 ; 1 with value (4 13) 10 with value (4 27) 3 with value (4 34)
% 0.41/0.62 ; 1 with value (4 14) 18 with value (4 28) 1 with value (4 35)
% 0.41/0.62 ; 1 with value (4 16) 6 with value (4 29) 1 with value (4 38)
% 0.41/0.62 Evaluation took:
% 0.41/0.62 0.143 seconds of real time
% 0.41/0.62 0.120806 seconds of user run time
% 0.41/0.62 0.021957 seconds of system run time
% 0.41/0.62 0 calls to %EVAL
% 0.41/0.62 0 page faults and
% 0.41/0.62 9,029,168 bytes consed.
% 0.41/0.62 :PROOF-FOUND
% 0.41/0.62 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T18:31:23
% 0.41/0.62 :PROOF-FOUND
% 0.41/0.62 *
%------------------------------------------------------------------------------