TSTP Solution File: SET386-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET386-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 05:09:23 EDT 2022
% Result : Unsatisfiable 1.81s 2.04s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 1 nHn; 9 RR)
% Number of literals : 15 ( 3 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 11 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(not_subclass_members2,axiom,
( ~ member(not_subclass_element(X,Y),Y)
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(intersection2,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(restriction1,axiom,
intersection(X,cross_product(Y,Z)) = restrict(X,Y,Z),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction1) ).
cnf(prove_relation_property4_1,negated_conjecture,
restrict(x,universal_class,universal_class) = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relation_property4_1) ).
cnf(128,plain,
intersection(x,cross_product(universal_class,universal_class)) = x,
inference('REWRITE',[status(thm)],[prove_relation_property4_1,restriction1,theory(equality)]) ).
cnf(prove_relation_property4_2,negated_conjecture,
~ subclass(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relation_property4_2) ).
cnf(146,plain,
member(not_subclass_element(x,cross_product(universal_class,universal_class)),x),
inference('HYPERRESOLVE',[status(thm)],[prove_relation_property4_2,not_subclass_members1]) ).
cnf(147,plain,
~ member(not_subclass_element(x,cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class)),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,prove_relation_property4_2]) ).
cnf(157,plain,
( ~ member(X,x)
| member(X,cross_product(universal_class,universal_class)) ),
inference('PARAMODULATE',[status(thm)],[intersection2,128,theory(equality)]) ).
cnf(8863,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[157,146]),147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET386-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 11 10:41:15 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T10:41:15
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-11T10:41:15
% 1.81/2.04
% 1.81/2.04
% 1.81/2.04 #||
% 1.81/2.04 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.81/2.04 % SZS output start Refutation
% See solution above
% 1.81/2.04 ||#
% 1.81/2.04
% 1.81/2.04 ; Summary of computation:
% 1.81/2.04 ; 17469 formulas have been input or derived (from 375 formulas).
% 1.81/2.04 ; 8863 (51%) were retained. Of these,
% 1.81/2.04 ; 370 ( 4%) were simplified or subsumed later,
% 1.81/2.04 ; 8493 (96%) are still being kept.
% 1.81/2.04 ;
% 1.81/2.04 ; Run time in seconds:
% 1.81/2.04 ; 0.022 1% Read assertion file (1 call)
% 1.81/2.04 ; 0.003 0% Assert (114 calls)
% 1.81/2.04 ; 0.574 37% Process new row (16,772 calls)
% 1.81/2.04 ; 0.506 33% Resolution (748 calls)
% 1.81/2.04 ; 0.006 0% Paramodulation (374 calls)
% 1.81/2.04 ; 0.000 0% Factoring (5 calls)
% 1.81/2.04 ; 0.009 1% Condensing (909 calls)
% 1.81/2.04 ; 0.058 4% Forward subsumption (909 calls)
% 1.81/2.04 ; 0.022 1% Backward subsumption (878 calls)
% 1.81/2.04 ; 0.004 0% Clause clause subsumption (1,879 calls)
% 1.81/2.04 ; 0.157 10% Forward simplification (16,766 calls)
% 1.81/2.04 ; 0.101 7% Backward simplification (8,847 calls)
% 1.81/2.04 ; 0.004 0% Ordering (2,616 calls)
% 1.81/2.04 ; 0.000 0% Sortal reasoning (32 calls)
% 1.81/2.04 ; 0.000 0% Purity testing (1 call)
% 1.81/2.04 ; 0.083 5% Other
% 1.81/2.04 ; 1.549 Total
% 1.81/2.04 ; 1.550 Real time
% 1.81/2.04 ;
% 1.81/2.04 ; Term-hash-array has 13,482 terms in all.
% 1.81/2.04 ; Feature-vector-row-index has 854 entries (854 at peak, 878 added, 24 deleted).
% 1.81/2.04 ; Feature-vector-row-index has 4,288 nodes (4,288 at peak, 4,400 added, 112 deleted).
% 1.81/2.04 ; Retrieved 1,827 possibly forward subsuming rows in 909 calls.
% 1.81/2.04 ; Retrieved 595 possibly backward subsumed rows in 878 calls.
% 1.81/2.04 ; Path-index has 13,061 entries (13,061 at peak, 13,538 added, 477 deleted).
% 1.81/2.04 ; Path-index has 6,922 nodes (6,922 at peak, 7,043 added, 121 deleted).
% 1.81/2.04 ; Trie-index has 13,061 entries (13,061 at peak, 13,538 added, 477 deleted).
% 1.81/2.04 ; Trie-index has 38,456 nodes (38,456 at peak, 39,559 added, 1,103 deleted).
% 1.81/2.04 ; Retrieved 11,327 generalization terms in 43,281 calls.
% 1.81/2.04 ; Retrieved 8,119 instance terms in 7,968 calls.
% 1.81/2.04 ; Retrieved 1,002,509 unifiable terms in 13,109 calls.
% 1.81/2.04 ;
% 1.81/2.04 ; The agenda of rows to process has 2 entries:
% 1.81/2.04 ; 2 with value 14
% 1.81/2.04 ; The agenda of rows to give has 8139 entries:
% 1.81/2.04 ; 154 with value (4 12) 12 with value (4 24) 2 with value (4 37)
% 1.81/2.04 ; 210 with value (4 13) 4 with value (4 25) 1 with value (4 43)
% 1.81/2.04 ; 397 with value (4 14) 9 with value (4 26) 1 with value (4 44)
% 1.81/2.04 ; 356 with value (4 15) 15 with value (4 27) 1 with value (4 45)
% 1.81/2.04 ; 548 with value (4 16) 10 with value (4 28) 4 with value (4 46)
% 1.81/2.04 ; 871 with value (4 17) 12 with value (4 29) 2 with value (4 49)
% 1.81/2.04 ; 1221 with value (4 18) 10 with value (4 30) 1 with value (4 51)
% 1.81/2.04 ; 1537 with value (4 19) 3 with value (4 31) 1 with value (4 53)
% 1.81/2.04 ; 1463 with value (4 20) 1 with value (4 32) 1 with value (4 55)
% 1.81/2.04 ; 979 with value (4 21) 2 with value (4 33) 1 with value (4 59)
% 1.81/2.04 ; 290 with value (4 22) 3 with value (4 34) 1 with value (4 63)
% 1.81/2.04 ; 16 with value (4 23)
% 1.81/2.04 Evaluation took:
% 1.81/2.04 1.552 seconds of real time
% 1.81/2.04 1.43431 seconds of user run time
% 1.81/2.04 0.117073 seconds of system run time
% 1.81/2.04 [Run times include 0.191 seconds GC run time.]
% 1.81/2.04 0 calls to %EVAL
% 1.81/2.04 0 page faults and
% 1.81/2.04 104,174,672 bytes consed.
% 1.81/2.04 :PROOF-FOUND
% 1.81/2.04 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T10:41:17
% 1.81/2.04 :PROOF-FOUND
% 1.81/2.04 *
%------------------------------------------------------------------------------