TSTP Solution File: SET656+3 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET656+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 05:11:20 EDT 2022
% Result : Theorem 0.45s 0.69s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 26 ( 11 unt; 4 nHn; 24 RR)
% Number of literals : 60 ( 3 equ; 35 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ subset(X,Y)
| intersection(X,Y) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
cnf(14,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',p6) ).
cnf(26,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',p13) ).
cnf(31,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| subset(X,Y)
| member('SKOLEMAAAV8'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17) ).
cnf(32,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| subset(X,Y)
| ~ member('SKOLEMAAAV8'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17) ).
cnf(34,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',p19) ).
cnf(38,axiom,
( ~ ilf_type(X,set_type)
| ~ empty(power_set(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20) ).
cnf(40,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',p21) ).
cnf(60,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30) ).
cnf(61,negated_conjecture,
ilf_type('SKOLEMAAAV18',relation_type('SKOLEMAAAV16','SKOLEMAAAV17')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_18) ).
cnf(62,negated_conjecture,
intersection('SKOLEMAAAV18',cross_product('SKOLEMAAAV16','SKOLEMAAAV17')) != 'SKOLEMAAAV18',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_18) ).
cnf(64,plain,
( ~ subset(X,Y)
| intersection(X,Y) = X ),
inference('REWRITE',[status(thm)],[1,60]) ).
cnf(73,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ilf_type(X,subset_type(cross_product(Y,Z))) ),
inference('REWRITE',[status(thm)],[14,60]) ).
cnf(78,plain,
( ~ ilf_type(X,subset_type(Y))
| ilf_type(X,member_type(power_set(Y))) ),
inference('REWRITE',[status(thm)],[26,60]) ).
cnf(82,plain,
( subset(X,Y)
| member('SKOLEMAAAV8'(X,Y),X) ),
inference('REWRITE',[status(thm)],[31,60]) ).
cnf(83,plain,
( subset(X,Y)
| ~ member('SKOLEMAAAV8'(X,Y),Y) ),
inference('REWRITE',[status(thm)],[32,60]) ).
cnf(85,plain,
( ~ member(X,power_set(Y))
| ~ member(Z,X)
| member(Z,Y) ),
inference('REWRITE',[status(thm)],[34,60]) ).
cnf(88,plain,
~ empty(power_set(X)),
inference('REWRITE',[status(thm)],[38,60]) ).
cnf(89,plain,
( empty(X)
| ~ ilf_type(Y,member_type(X))
| member(Y,X) ),
inference('REWRITE',[status(thm)],[40,60]) ).
cnf(109,plain,
~ subset('SKOLEMAAAV18',cross_product('SKOLEMAAAV16','SKOLEMAAAV17')),
inference('UR-RESOLVE',[status(thm)],[64,62]) ).
cnf(147,plain,
ilf_type('SKOLEMAAAV18',subset_type(cross_product('SKOLEMAAAV16','SKOLEMAAAV17'))),
inference('HYPERRESOLVE',[status(thm)],[73,61]) ).
cnf(242,plain,
member('SKOLEMAAAV8'('SKOLEMAAAV18',cross_product('SKOLEMAAAV16','SKOLEMAAAV17')),'SKOLEMAAAV18'),
inference('HYPERRESOLVE',[status(thm)],[109,82]) ).
cnf(243,plain,
~ member('SKOLEMAAAV8'('SKOLEMAAAV18',cross_product('SKOLEMAAAV16','SKOLEMAAAV17')),cross_product('SKOLEMAAAV16','SKOLEMAAAV17')),
inference('UR-RESOLVE',[status(thm)],[83,109]) ).
cnf(334,plain,
ilf_type('SKOLEMAAAV18',member_type(power_set(cross_product('SKOLEMAAAV16','SKOLEMAAAV17')))),
inference('HYPERRESOLVE',[status(thm)],[78,147]) ).
cnf(561,plain,
member('SKOLEMAAAV18',power_set(cross_product('SKOLEMAAAV16','SKOLEMAAAV17'))),
inference('UR-RESOLVE',[status(thm)],[89,334,88]) ).
cnf(564,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[85,561,242]),243]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET656+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n009.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 : Sun Jul 10 20:30:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 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/sandbox/benchmark/theBenchmark.p 2022-07-10T20:30:07
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-10T20:30:07
% 0.45/0.69
% 0.45/0.69
% 0.45/0.69 #||
% 0.45/0.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.69 % SZS output start Refutation
% See solution above
% 0.45/0.70 ||#
% 0.45/0.70
% 0.45/0.70 ; Summary of computation:
% 0.45/0.70 ; 1386 formulas have been input or derived (from 87 formulas).
% 0.45/0.70 ; 564 (41%) were retained. Of these,
% 0.45/0.70 ; 83 (15%) were simplified or subsumed later,
% 0.45/0.70 ; 481 (85%) are still being kept.
% 0.45/0.70 ;
% 0.45/0.70 ; Run time in seconds excluding printing time:
% 0.45/0.70 ; 0.010 5% Read assertion file (1 call)
% 0.45/0.70 ; 0.003 1% Assert (31 calls)
% 0.45/0.70 ; 0.049 24% Process new row (1,143 calls)
% 0.45/0.70 ; 0.034 17% Resolution (172 calls)
% 0.45/0.70 ; 0.000 0% Paramodulation (86 calls)
% 0.45/0.70 ; 0.000 0% Factoring (8 calls)
% 0.45/0.70 ; 0.014 7% Condensing (580 calls)
% 0.45/0.70 ; 0.021 10% Forward subsumption (580 calls)
% 0.45/0.70 ; 0.008 4% Backward subsumption (377 calls)
% 0.45/0.70 ; 0.005 2% Clause clause subsumption (951 calls)
% 0.45/0.70 ; 0.016 8% Forward simplification (1,143 calls)
% 0.45/0.70 ; 0.006 3% Backward simplification (564 calls)
% 0.45/0.70 ; 0.005 2% Ordering (1,218 calls)
% 0.45/0.70 ; 0.000 0% Sortal reasoning (32 calls)
% 0.45/0.70 ; 0.000 0% Purity testing (1 call)
% 0.45/0.70 ; 0.031 15% Other
% 0.45/0.70 ; 0.202 Total
% 0.45/0.70 ; 0.217 Real time
% 0.45/0.70 ;
% 0.45/0.70 ; Term-hash-array has 1,300 terms in all.
% 0.45/0.70 ; Feature-vector-row-index has 315 entries (315 at peak, 377 added, 62 deleted).
% 0.45/0.70 ; Feature-vector-row-index has 1,213 nodes (1,213 at peak, 1,502 added, 289 deleted).
% 0.45/0.70 ; Retrieved 1,233 possibly forward subsuming rows in 580 calls.
% 0.45/0.70 ; Retrieved 211 possibly backward subsumed rows in 377 calls.
% 0.45/0.70 ; Path-index has 1,232 entries (1,232 at peak, 1,369 added, 137 deleted).
% 0.45/0.70 ; Path-index has 3,436 nodes (3,453 at peak, 3,664 added, 228 deleted).
% 0.45/0.70 ; Trie-index has 1,232 entries (1,232 at peak, 1,369 added, 137 deleted).
% 0.45/0.70 ; Trie-index has 5,176 nodes (5,176 at peak, 5,698 added, 522 deleted).
% 0.45/0.70 ; Retrieved 1,144 generalization terms in 3,026 calls.
% 0.45/0.70 ; Retrieved 227 instance terms in 186 calls.
% 0.45/0.70 ; Retrieved 31,061 unifiable terms in 1,514 calls.
% 0.45/0.70 ;
% 0.45/0.70 ; The agenda of rows to process has 99 entries:
% 0.45/0.70 ; 4 with value 17 6 with value 23 8 with value 28
% 0.45/0.70 ; 7 with value 19 2 with value 24 8 with value 31
% 0.45/0.70 ; 12 with value 20 16 with value 25 2 with value 32
% 0.45/0.70 ; 12 with value 21 2 with value 26 4 with value 37
% 0.45/0.70 ; 10 with value 22 6 with value 27
% 0.45/0.70 ; The agenda of rows to give has 394 entries:
% 0.45/0.70 ; 4 with value (4 13) 14 with value (4 27) 2 with value (4 44)
% 0.45/0.70 ; 5 with value (4 14) 17 with value (4 28) 4 with value (4 46)
% 0.45/0.70 ; 5 with value (4 15) 20 with value (4 29) 5 with value (4 47)
% 0.45/0.70 ; 15 with value (4 16) 11 with value (4 30) 8 with value (4 49)
% 0.45/0.70 ; 40 with value (4 17) 10 with value (4 31) 2 with value (4 51)
% 0.45/0.70 ; 18 with value (4 18) 15 with value (4 32) 2 with value (4 55)
% 0.45/0.70 ; 34 with value (4 19) 1 with value (4 33) 2 with value (4 56)
% 0.45/0.70 ; 44 with value (4 20) 7 with value (4 35) 1 with value (4 59)
% 0.45/0.70 ; 26 with value (4 21) 4 with value (4 36) 2 with value (4 60)
% 0.45/0.70 ; 13 with value (4 22) 6 with value (4 37) 3 with value (4 61)
% 0.45/0.70 ; 16 with value (4 23) 2 with value (4 38) 2 with value (4 68)
% 0.45/0.70 ; 9 with value (4 24) 1 with value (4 40) 2 with value (4 70)
% 0.45/0.70 ; 7 with value (4 25) 2 with value (4 41) 1 with value (4 73)
% 0.45/0.70 ; 10 with value (4 26) 2 with value (4 42)
% 0.45/0.70 Evaluation took:
% 0.45/0.70 0.217 seconds of real time
% 0.45/0.70 0.188727 seconds of user run time
% 0.45/0.70 0.02803 seconds of system run time
% 0.45/0.70 [Run times include 0.011 seconds GC run time.]
% 0.45/0.70 0 calls to %EVAL
% 0.45/0.70 0 page faults and
% 0.45/0.70 14,507,880 bytes consed.
% 0.45/0.70 :PROOF-FOUND
% 0.45/0.70 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T20:30:07
% 0.45/0.70 :PROOF-FOUND
% 0.45/0.70 *
%------------------------------------------------------------------------------