TSTP Solution File: SET646+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET646+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 05:11:15 EDT 2022
% Result : Theorem 10.13s 10.33s
% Output : Refutation 10.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 29 ( 12 unt; 5 nHn; 26 RR)
% Number of literals : 74 ( 8 equ; 47 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 45 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| ~ ilf_type(U,set_type)
| member(ordered_pair(X,Y),cross_product(Z,U))
| ~ member(X,Z)
| ~ member(Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
cnf(6,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,subset_type(cross_product(X,Y)))
| ilf_type(Z,relation_type(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
cnf(9,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| Z != singleton(Y)
| ~ ilf_type(U,set_type)
| ~ member(U,Z)
| U = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
cnf(10,plain,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| Y != singleton(X)
| ~ ilf_type(Z,set_type)
| ~ member(Z,Y)
| Z = X ),
inference('CONDENSE',[status(thm)],[9]) ).
cnf(29,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/sandbox2/benchmark/theBenchmark.p',p12) ).
cnf(42,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| member(X,power_set(Y))
| member('SKOLEMAAAV6'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17) ).
cnf(43,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| member(X,power_set(Y))
| ~ member('SKOLEMAAAV6'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17) ).
cnf(44,axiom,
( ~ ilf_type(X,set_type)
| ~ empty(power_set(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18) ).
cnf(47,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/sandbox2/benchmark/theBenchmark.p',p19) ).
cnf(60,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25) ).
cnf(61,negated_conjecture,
member('SKOLEMAAAV14','SKOLEMAAAV12'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_8) ).
cnf(62,negated_conjecture,
member('SKOLEMAAAV15','SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_8) ).
cnf(63,negated_conjecture,
~ ilf_type(singleton(ordered_pair('SKOLEMAAAV14','SKOLEMAAAV15')),relation_type('SKOLEMAAAV12','SKOLEMAAAV13')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_8) ).
cnf(68,plain,
( member(ordered_pair(X,Y),cross_product(Z,U))
| ~ member(X,Z)
| ~ member(Y,U) ),
inference('REWRITE',[status(thm)],[5,60]) ).
cnf(69,plain,
( ~ ilf_type(X,subset_type(cross_product(Y,Z)))
| ilf_type(X,relation_type(Y,Z)) ),
inference('REWRITE',[status(thm)],[6,60]) ).
cnf(72,plain,
( X != singleton(Y)
| ~ member(Z,X)
| Z = Y ),
inference('REWRITE',[status(thm)],[10,60]) ).
cnf(80,plain,
( ilf_type(X,subset_type(Y))
| ~ ilf_type(X,member_type(power_set(Y))) ),
inference('REWRITE',[status(thm)],[29,60]) ).
cnf(90,plain,
( member(X,power_set(Y))
| member('SKOLEMAAAV6'(X,Y),X) ),
inference('REWRITE',[status(thm)],[42,60]) ).
cnf(91,plain,
( member(X,power_set(Y))
| ~ member('SKOLEMAAAV6'(X,Y),Y) ),
inference('REWRITE',[status(thm)],[43,60]) ).
cnf(92,plain,
~ empty(power_set(X)),
inference('REWRITE',[status(thm)],[44,60]) ).
cnf(94,plain,
( empty(X)
| ilf_type(Y,member_type(X))
| ~ member(Y,X) ),
inference('REWRITE',[status(thm)],[47,60]) ).
cnf(132,plain,
( member(singleton(X),power_set(Y))
| 'SKOLEMAAAV6'(singleton(X),Y) = X ),
inference('HYPERRESOLVE',[status(thm)],[72,90,theory(equality)]) ).
cnf(146,plain,
~ ilf_type(singleton(ordered_pair('SKOLEMAAAV14','SKOLEMAAAV15')),subset_type(cross_product('SKOLEMAAAV12','SKOLEMAAAV13'))),
inference('UR-RESOLVE',[status(thm)],[69,63]) ).
cnf(150,plain,
member(ordered_pair('SKOLEMAAAV14','SKOLEMAAAV15'),cross_product('SKOLEMAAAV12','SKOLEMAAAV13')),
inference('HYPERRESOLVE',[status(thm)],[68,61,62]) ).
cnf(1009,plain,
~ ilf_type(singleton(ordered_pair('SKOLEMAAAV14','SKOLEMAAAV15')),member_type(power_set(cross_product('SKOLEMAAAV12','SKOLEMAAAV13')))),
inference('UR-RESOLVE',[status(thm)],[80,146]) ).
cnf(25303,plain,
~ member(singleton(ordered_pair('SKOLEMAAAV14','SKOLEMAAAV15')),power_set(cross_product('SKOLEMAAAV12','SKOLEMAAAV13'))),
inference('UR-RESOLVE',[status(thm)],[94,1009,92]) ).
cnf(25317,plain,
~ member('SKOLEMAAAV6'(singleton(ordered_pair('SKOLEMAAAV14','SKOLEMAAAV15')),cross_product('SKOLEMAAAV12','SKOLEMAAAV13')),cross_product('SKOLEMAAAV12','SKOLEMAAAV13')),
inference('UR-RESOLVE',[status(thm)],[91,25303]) ).
cnf(26199,plain,
'SKOLEMAAAV6'(singleton(ordered_pair('SKOLEMAAAV14','SKOLEMAAAV15')),cross_product('SKOLEMAAAV12','SKOLEMAAAV13')) = ordered_pair('SKOLEMAAAV14','SKOLEMAAAV15'),
inference('HYPERRESOLVE',[status(thm)],[25303,132]) ).
cnf(26200,plain,
$false,
inference('REWRITE',[status(thm)],[25317,150,26199,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET646+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 23:31:08 EDT 2022
% 0.12/0.35 % 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 2022-07-10T23:31:08
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-10T23:31:08
% 10.13/10.33
% 10.13/10.33
% 10.13/10.33 #||
% 10.13/10.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.13/10.33 % SZS output start Refutation
% See solution above
% 10.13/10.34 ||#
% 10.13/10.34
% 10.13/10.34 ; Summary of computation:
% 10.13/10.34 ; 44126 formulas have been input or derived (from 338 formulas).
% 10.13/10.34 ; 26200 (59%) were retained. Of these,
% 10.13/10.34 ; 77 ( 0%) were simplified or subsumed later,
% 10.13/10.34 ; 26123 (100%) are still being kept.
% 10.13/10.34 ;
% 10.13/10.34 ; Run time in seconds excluding printing time:
% 10.13/10.34 ; 0.008 0% Read assertion file (1 call)
% 10.13/10.34 ; 0.003 0% Assert (26 calls)
% 10.13/10.34 ; 2.770 28% Process new row (42,704 calls)
% 10.13/10.34 ; 2.700 27% Resolution (674 calls)
% 10.13/10.34 ; 0.023 0% Paramodulation (337 calls)
% 10.13/10.34 ; 0.000 0% Factoring (49 calls)
% 10.13/10.34 ; 0.123 1% Condensing (11,997 calls)
% 10.13/10.34 ; 1.382 14% Forward subsumption (11,997 calls)
% 10.13/10.34 ; 0.721 7% Backward subsumption (11,489 calls)
% 10.13/10.34 ; 0.180 2% Clause clause subsumption (107,517 calls)
% 10.13/10.34 ; 1.195 12% Forward simplification (42,704 calls)
% 10.13/10.34 ; 0.497 5% Backward simplification (26,193 calls)
% 10.13/10.34 ; 0.060 1% Ordering (31,209 calls)
% 10.13/10.34 ; 0.002 0% Sortal reasoning (32 calls)
% 10.13/10.34 ; 0.001 0% Purity testing (1 call)
% 10.13/10.34 ; 0.190 2% Other
% 10.13/10.34 ; 9.855 Total
% 10.13/10.34 ; 9.858 Real time
% 10.13/10.34 ;
% 10.13/10.34 ; Term-hash-array has 46,973 terms in all.
% 10.13/10.34 ; Feature-vector-row-index has 11,434 entries (11,434 at peak, 11,489 added, 55 deleted).
% 10.13/10.34 ; Feature-vector-row-index has 28,248 nodes (28,248 at peak, 28,503 added, 255 deleted).
% 10.13/10.34 ; Retrieved 116,298 possibly forward subsuming rows in 11,997 calls.
% 10.13/10.34 ; Retrieved 43,521 possibly backward subsumed rows in 11,489 calls.
% 10.13/10.34 ; Path-index has 46,905 entries (46,909 at peak, 47,040 added, 135 deleted).
% 10.13/10.34 ; Path-index has 9,330 nodes (9,344 at peak, 9,498 added, 168 deleted).
% 10.13/10.34 ; Trie-index has 46,905 entries (46,909 at peak, 47,040 added, 135 deleted).
% 10.13/10.34 ; Trie-index has 220,857 nodes (220,885 at peak, 221,276 added, 419 deleted).
% 10.13/10.34 ; Retrieved 24,916 generalization terms in 158,964 calls.
% 10.13/10.34 ; Retrieved 14,752 instance terms in 14,703 calls.
% 10.13/10.34 ; Retrieved 4,828,769 unifiable terms in 8,002 calls.
% 10.13/10.34 ;
% 10.13/10.34 ; The agenda of backward simplifiable rows to process has 2 entries:
% 10.13/10.34 ; 2 with value 0
% 10.13/10.34 ; The agenda of rows to process has 336 entries:
% 10.13/10.34 ; 2 with value 20 18 with value 27 120 with value 33
% 10.13/10.34 ; 1 with value 22 2 with value 28 6 with value 34
% 10.13/10.34 ; 6 with value 23 6 with value 29 2 with value 35
% 10.13/10.34 ; 8 with value 24 19 with value 30 5 with value 36
% 10.13/10.34 ; 5 with value 25 47 with value 31 2 with value 38
% 10.13/10.34 ; 9 with value 26 78 with value 32
% 10.13/10.34 ; The agenda of rows to give has 25786 entries:
% 10.13/10.34 ; 1 with value (4 15) 3898 with value (4 30) 4 with value (4 44)
% 10.13/10.34 ; 90 with value (4 17) 440 with value (4 31) 23 with value (4 45)
% 10.13/10.34 ; 148 with value (4 18) 236 with value (4 32) 14 with value (4 46)
% 10.13/10.34 ; 246 with value (4 19) 391 with value (4 33) 9 with value (4 47)
% 10.13/10.34 ; 314 with value (4 20) 190 with value (4 34) 10 with value (4 48)
% 10.13/10.34 ; 574 with value (4 21) 315 with value (4 35) 14 with value (4 49)
% 10.13/10.34 ; 836 with value (4 22) 115 with value (4 36) 4 with value (4 50)
% 10.13/10.34 ; 1051 with value (4 23) 131 with value (4 37) 3 with value (4 51)
% 10.13/10.34 ; 877 with value (4 24) 28 with value (4 38) 1 with value (4 52)
% 10.13/10.34 ; 1792 with value (4 25) 19 with value (4 39) 1 with value (4 58)
% 10.13/10.34 ; 2709 with value (4 26) 31 with value (4 40) 1 with value (4 59)
% 10.13/10.34 ; 3793 with value (4 27) 36 with value (4 41) 2 with value (4 60)
% 10.13/10.34 ; 4103 with value (4 28) 18 with value (4 42) 3 with value (4 61)
% 10.13/10.34 ; 3296 with value (4 29) 18 with value (4 43) 1 with value (4 62)
% 10.13/10.34 Evaluation took:
% 10.13/10.34 9.863 seconds of real time
% 10.13/10.34 9.199537 seconds of user run time
% 10.13/10.34 0.663075 seconds of system run time
% 10.13/10.34 [Run times include 1.761 seconds GC run time.]
% 10.13/10.34 0 calls to %EVAL
% 10.13/10.34 0 page faults and
% 10.13/10.34 634,710,376 bytes consed.
% 10.13/10.34 :PROOF-FOUND
% 10.13/10.34 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T23:31:18
% 10.13/10.34 :PROOF-FOUND
% 10.13/10.34 *
%------------------------------------------------------------------------------