TSTP Solution File: SET640+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET640+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 05:11:13 EDT 2022
% Result : Theorem 0.48s 0.67s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 27 ( 12 unt; 4 nHn; 25 RR)
% Number of literals : 64 ( 0 equ; 38 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 37 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(10,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| ilf_type(Z,subset_type(cross_product(X,Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
cnf(12,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ subset(X,Y)
| ~ ilf_type(Z,set_type)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).
cnf(14,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| subset(X,Y)
| member('SKOLEMAAAW4'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).
cnf(15,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| subset(X,Y)
| ~ member('SKOLEMAAAW4'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).
cnf(17,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Y,subset_type(X))
| ilf_type(Y,member_type(power_set(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8) ).
cnf(21,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ member(X,power_set(Y))
| ~ ilf_type(Z,set_type)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11) ).
cnf(25,axiom,
( ~ ilf_type(X,set_type)
| ~ empty(power_set(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12) ).
cnf(27,axiom,
( ~ ilf_type(X,set_type)
| empty(Y)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(X,member_type(Y))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13) ).
cnf(41,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19) ).
cnf(42,negated_conjecture,
ilf_type('SKOLEMAAAW15',relation_type('SKOLEMAAAW13','SKOLEMAAAW14')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_2) ).
cnf(43,negated_conjecture,
subset('SKOLEMAAAW12','SKOLEMAAAW15'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_2) ).
cnf(44,negated_conjecture,
~ subset('SKOLEMAAAW12',cross_product('SKOLEMAAAW13','SKOLEMAAAW14')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_2) ).
cnf(51,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ilf_type(X,subset_type(cross_product(Y,Z))) ),
inference('REWRITE',[status(thm)],[10,41]) ).
cnf(53,plain,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
inference('REWRITE',[status(thm)],[12,41]) ).
cnf(54,plain,
( subset(X,Y)
| member('SKOLEMAAAW4'(X,Y),X) ),
inference('REWRITE',[status(thm)],[14,41]) ).
cnf(55,plain,
( subset(X,Y)
| ~ member('SKOLEMAAAW4'(X,Y),Y) ),
inference('REWRITE',[status(thm)],[15,41]) ).
cnf(56,plain,
( ~ ilf_type(X,subset_type(Y))
| ilf_type(X,member_type(power_set(Y))) ),
inference('REWRITE',[status(thm)],[17,41]) ).
cnf(60,plain,
( ~ member(X,power_set(Y))
| ~ member(Z,X)
| member(Z,Y) ),
inference('REWRITE',[status(thm)],[21,41]) ).
cnf(63,plain,
~ empty(power_set(X)),
inference('REWRITE',[status(thm)],[25,41]) ).
cnf(64,plain,
( empty(X)
| ~ ilf_type(Y,member_type(X))
| member(Y,X) ),
inference('REWRITE',[status(thm)],[27,41]) ).
cnf(76,plain,
member('SKOLEMAAAW4'('SKOLEMAAAW12',cross_product('SKOLEMAAAW13','SKOLEMAAAW14')),'SKOLEMAAAW12'),
inference('HYPERRESOLVE',[status(thm)],[44,54]) ).
cnf(77,plain,
~ member('SKOLEMAAAW4'('SKOLEMAAAW12',cross_product('SKOLEMAAAW13','SKOLEMAAAW14')),cross_product('SKOLEMAAAW13','SKOLEMAAAW14')),
inference('UR-RESOLVE',[status(thm)],[55,44]) ).
cnf(112,plain,
ilf_type('SKOLEMAAAW15',subset_type(cross_product('SKOLEMAAAW13','SKOLEMAAAW14'))),
inference('HYPERRESOLVE',[status(thm)],[51,42]) ).
cnf(233,plain,
ilf_type('SKOLEMAAAW15',member_type(power_set(cross_product('SKOLEMAAAW13','SKOLEMAAAW14')))),
inference('HYPERRESOLVE',[status(thm)],[56,112]) ).
cnf(268,plain,
member('SKOLEMAAAW4'('SKOLEMAAAW12',cross_product('SKOLEMAAAW13','SKOLEMAAAW14')),'SKOLEMAAAW15'),
inference('HYPERRESOLVE',[status(thm)],[53,76,43]) ).
cnf(565,plain,
~ member('SKOLEMAAAW15',power_set(cross_product('SKOLEMAAAW13','SKOLEMAAAW14'))),
inference('UR-RESOLVE',[status(thm)],[60,77,268]) ).
cnf(582,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[64,565,63]),233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET640+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 : Sun Jul 10 00:24:15 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.50 *
% 0.22/0.50 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T00:24:16
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-10T00:24:16
% 0.48/0.67
% 0.48/0.67
% 0.48/0.67 #||
% 0.48/0.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.67 % SZS output start Refutation
% See solution above
% 0.48/0.67 ||#
% 0.48/0.67
% 0.48/0.67 ; Summary of computation:
% 0.48/0.67 ; 1052 formulas have been input or derived (from 81 formulas).
% 0.48/0.67 ; 582 (55%) were retained. Of these,
% 0.48/0.67 ; 69 (12%) were simplified or subsumed later,
% 0.48/0.67 ; 513 (88%) are still being kept.
% 0.48/0.67 ;
% 0.48/0.67 ; Run time in seconds excluding printing time:
% 0.48/0.67 ; 0.007 4% Read assertion file (1 call)
% 0.48/0.67 ; 0.002 1% Assert (20 calls)
% 0.48/0.67 ; 0.050 32% Process new row (978 calls)
% 0.48/0.67 ; 0.026 16% Resolution (160 calls)
% 0.48/0.67 ; 0.000 0% Paramodulation (80 calls)
% 0.48/0.67 ; 0.000 0% Factoring (12 calls)
% 0.48/0.67 ; 0.004 3% Condensing (386 calls)
% 0.48/0.67 ; 0.013 8% Forward subsumption (386 calls)
% 0.48/0.67 ; 0.007 4% Backward subsumption (332 calls)
% 0.48/0.67 ; 0.002 1% Clause clause subsumption (641 calls)
% 0.48/0.67 ; 0.011 7% Forward simplification (976 calls)
% 0.48/0.67 ; 0.006 4% Backward simplification (582 calls)
% 0.48/0.67 ; 0.002 1% Ordering (627 calls)
% 0.48/0.67 ; 0.000 0% Sortal reasoning (32 calls)
% 0.48/0.67 ; 0.001 1% Purity testing (1 call)
% 0.48/0.67 ; 0.027 17% Other
% 0.48/0.67 ; 0.158 Total
% 0.48/0.67 ; 0.160 Real time
% 0.48/0.67 ;
% 0.48/0.67 ; Term-hash-array has 1,033 terms in all.
% 0.48/0.67 ; Feature-vector-row-index has 263 entries (263 at peak, 332 added, 69 deleted).
% 0.48/0.67 ; Feature-vector-row-index has 1,230 nodes (1,230 at peak, 1,585 added, 355 deleted).
% 0.48/0.67 ; Retrieved 517 possibly forward subsuming rows in 386 calls.
% 0.48/0.67 ; Retrieved 196 possibly backward subsumed rows in 332 calls.
% 0.48/0.67 ; Path-index has 997 entries (997 at peak, 1,139 added, 142 deleted).
% 0.48/0.67 ; Path-index has 1,812 nodes (1,812 at peak, 1,970 added, 158 deleted).
% 0.48/0.67 ; Trie-index has 997 entries (997 at peak, 1,139 added, 142 deleted).
% 0.48/0.67 ; Trie-index has 3,515 nodes (3,515 at peak, 3,924 added, 409 deleted).
% 0.48/0.67 ; Retrieved 616 generalization terms in 1,650 calls.
% 0.48/0.67 ; Retrieved 282 instance terms in 249 calls.
% 0.48/0.67 ; Retrieved 17,873 unifiable terms in 1,454 calls.
% 0.48/0.67 ;
% 0.48/0.67 ; The agenda of rows to process has 4 entries:
% 0.48/0.67 ; 2 with value 16 2 with value 17
% 0.48/0.67 ; The agenda of rows to give has 433 entries:
% 0.48/0.67 ; 6 with value (4 13) 37 with value (4 21) 3 with value (4 30)
% 0.48/0.67 ; 13 with value (4 14) 29 with value (4 22) 3 with value (4 32)
% 0.48/0.67 ; 11 with value (4 15) 18 with value (4 23) 1 with value (4 33)
% 0.48/0.67 ; 57 with value (4 16) 7 with value (4 24) 3 with value (4 35)
% 0.48/0.67 ; 42 with value (4 17) 4 with value (4 25) 2 with value (4 37)
% 0.48/0.67 ; 29 with value (4 18) 6 with value (4 26) 1 with value (4 40)
% 0.48/0.67 ; 89 with value (4 19) 5 with value (4 27) 2 with value (4 42)
% 0.48/0.67 ; 63 with value (4 20) 1 with value (4 28) 1 with value (4 47)
% 0.48/0.67 Evaluation took:
% 0.48/0.67 0.161 seconds of real time
% 0.48/0.67 0.13919 seconds of user run time
% 0.48/0.67 0.021791 seconds of system run time
% 0.48/0.67 0 calls to %EVAL
% 0.48/0.67 0 page faults and
% 0.48/0.67 11,362,352 bytes consed.
% 0.48/0.67 :PROOF-FOUND
% 0.48/0.67 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T00:24:16
% 0.48/0.67 :PROOF-FOUND
% 0.48/0.67 *
%------------------------------------------------------------------------------