TSTP Solution File: SET188-6 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET188-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 05:08:12 EDT 2022
% Result : Unsatisfiable 1.60s 1.78s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 11 unt; 4 nHn; 14 RR)
% Number of literals : 30 ( 4 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(intersection3,axiom,
( ~ member(X,Y)
| ~ member(X,Z)
| member(X,intersection(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(complement1,axiom,
( ~ member(X,complement(Y))
| ~ member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(complement2,axiom,
( ~ member(X,universal_class)
| member(X,complement(Y))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(regularity1,axiom,
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(prove_subclass_property6_1,negated_conjecture,
intersection(complement(y),x) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property6_1) ).
cnf(prove_subclass_property6_2,negated_conjecture,
~ subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property6_2) ).
cnf(144,plain,
member(not_subclass_element(x,y),x),
inference('HYPERRESOLVE',[status(thm)],[prove_subclass_property6_2,not_subclass_members1]) ).
cnf(145,plain,
~ member(not_subclass_element(x,y),y),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,prove_subclass_property6_2]) ).
cnf(158,plain,
( X = null_class
| member(regular(X),universal_class) ),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,regularity1]) ).
cnf(405,plain,
member(not_subclass_element(x,y),universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,144,class_elements_are_sets]) ).
cnf(826,plain,
member(not_subclass_element(x,y),complement(y)),
inference('UR-RESOLVE',[status(thm)],[complement2,405,145]) ).
cnf(827,plain,
~ member(not_subclass_element(x,y),complement(universal_class)),
inference('UR-RESOLVE',[status(thm)],[complement1,405]) ).
cnf(2552,plain,
complement(universal_class) = null_class,
inference('HYPERRESOLVE',[status(thm)],[complement1,158,regularity1]) ).
cnf(2619,plain,
~ member(not_subclass_element(x,y),null_class),
inference('REWRITE',[status(thm)],[827,2552,theory(equality)]) ).
cnf(6990,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[intersection3,826,144]),2619,prove_subclass_property6_1,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET188-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n024.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 : Mon Jul 11 02:30:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 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 2022-07-11T02:30:13
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-11T02:30:13
% 1.60/1.78
% 1.60/1.78
% 1.60/1.78 #||
% 1.60/1.78 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.60/1.78 % SZS output start Refutation
% See solution above
% 1.60/1.78 ||#
% 1.60/1.78
% 1.60/1.78 ; Summary of computation:
% 1.60/1.78 ; 13995 formulas have been input or derived (from 300 formulas).
% 1.60/1.78 ; 6990 (50%) were retained. Of these,
% 1.60/1.78 ; 374 ( 5%) were simplified or subsumed later,
% 1.60/1.78 ; 6616 (95%) are still being kept.
% 1.60/1.78 ;
% 1.60/1.78 ; Run time in seconds excluding printing time:
% 1.60/1.78 ; 0.022 2% Read assertion file (1 call)
% 1.60/1.78 ; 0.002 0% Assert (114 calls)
% 1.60/1.78 ; 0.473 36% Process new row (13,238 calls)
% 1.60/1.78 ; 0.385 30% Resolution (598 calls)
% 1.60/1.78 ; 0.015 1% Paramodulation (299 calls)
% 1.60/1.78 ; 0.000 0% Factoring (5 calls)
% 1.60/1.78 ; 0.009 1% Condensing (843 calls)
% 1.60/1.78 ; 0.042 3% Forward subsumption (843 calls)
% 1.60/1.78 ; 0.030 2% Backward subsumption (813 calls)
% 1.60/1.78 ; 0.003 0% Clause clause subsumption (1,639 calls)
% 1.60/1.78 ; 0.123 9% Forward simplification (13,232 calls)
% 1.60/1.78 ; 0.126 10% Backward simplification (6,975 calls)
% 1.60/1.78 ; 0.004 0% Ordering (2,062 calls)
% 1.60/1.78 ; 0.000 0% Sortal reasoning (32 calls)
% 1.60/1.78 ; 0.000 0% Purity testing (1 call)
% 1.60/1.78 ; 0.070 5% Other
% 1.60/1.78 ; 1.304 Total
% 1.60/1.78 ; 1.306 Real time
% 1.60/1.78 ;
% 1.60/1.78 ; Term-hash-array has 10,996 terms in all.
% 1.60/1.78 ; Feature-vector-row-index has 789 entries (789 at peak, 813 added, 24 deleted).
% 1.60/1.78 ; Feature-vector-row-index has 3,961 nodes (3,961 at peak, 4,073 added, 112 deleted).
% 1.60/1.78 ; Retrieved 1,612 possibly forward subsuming rows in 843 calls.
% 1.60/1.78 ; Retrieved 513 possibly backward subsumed rows in 813 calls.
% 1.60/1.78 ; Path-index has 10,566 entries (10,566 at peak, 11,053 added, 487 deleted).
% 1.60/1.78 ; Path-index has 6,572 nodes (6,572 at peak, 6,689 added, 117 deleted).
% 1.60/1.78 ; Trie-index has 10,566 entries (10,566 at peak, 11,053 added, 487 deleted).
% 1.60/1.78 ; Trie-index has 31,714 nodes (31,714 at peak, 32,826 added, 1,112 deleted).
% 1.60/1.78 ; Retrieved 8,796 generalization terms in 32,881 calls.
% 1.60/1.78 ; Retrieved 6,310 instance terms in 6,161 calls.
% 1.60/1.78 ; Retrieved 740,120 unifiable terms in 10,497 calls.
% 1.60/1.78 ;
% 1.60/1.78 ; The agenda of rows to process has 293 entries:
% 1.60/1.78 ; 5 with value 15 28 with value 18 77 with value 21
% 1.60/1.78 ; 1 with value 16 96 with value 19 10 with value 22
% 1.60/1.78 ; 16 with value 17 60 with value 20
% 1.60/1.78 ; The agenda of rows to give has 6337 entries:
% 1.60/1.78 ; 2 with value (4 10) 131 with value (4 22) 3 with value (4 34)
% 1.60/1.78 ; 78 with value (4 11) 14 with value (4 23) 2 with value (4 37)
% 1.60/1.78 ; 149 with value (4 12) 11 with value (4 24) 1 with value (4 43)
% 1.60/1.78 ; 191 with value (4 13) 4 with value (4 25) 1 with value (4 44)
% 1.60/1.78 ; 297 with value (4 14) 10 with value (4 26) 1 with value (4 45)
% 1.60/1.78 ; 239 with value (4 15) 14 with value (4 27) 4 with value (4 46)
% 1.60/1.78 ; 517 with value (4 16) 9 with value (4 28) 2 with value (4 49)
% 1.60/1.78 ; 675 with value (4 17) 12 with value (4 29) 1 with value (4 51)
% 1.60/1.78 ; 1162 with value (4 18) 10 with value (4 30) 1 with value (4 53)
% 1.60/1.78 ; 1204 with value (4 19) 3 with value (4 31) 1 with value (4 55)
% 1.60/1.78 ; 1094 with value (4 20) 1 with value (4 32) 1 with value (4 59)
% 1.60/1.78 ; 489 with value (4 21) 2 with value (4 33) 1 with value (4 63)
% 1.60/1.78 Evaluation took:
% 1.60/1.78 1.307 seconds of real time
% 1.60/1.78 1.229313 seconds of user run time
% 1.60/1.78 0.078042 seconds of system run time
% 1.60/1.78 [Run times include 0.15 seconds GC run time.]
% 1.60/1.78 0 calls to %EVAL
% 1.60/1.78 0 page faults and
% 1.60/1.78 84,298,568 bytes consed.
% 1.60/1.78 :PROOF-FOUND
% 1.60/1.78 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T02:30:15
% 1.60/1.78 :PROOF-FOUND
% 1.60/1.78 *
%------------------------------------------------------------------------------