TSTP Solution File: SET451-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET451-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 05:09:44 EDT 2022
% Result : Unsatisfiable 1.95s 2.13s
% Output : Refutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 5 unt; 1 nHn; 8 RR)
% Number of literals : 13 ( 1 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 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(intersection1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(subset_relation,axiom,
intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))) = subset_relation,
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subset_relation) ).
cnf(prove_subset_relation_alternate_defn1_1,negated_conjecture,
~ subclass(subset_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subset_relation_alternate_defn1_1) ).
cnf(144,plain,
member(not_subclass_element(subset_relation,cross_product(universal_class,universal_class)),subset_relation),
inference('HYPERRESOLVE',[status(thm)],[prove_subset_relation_alternate_defn1_1,not_subclass_members1]) ).
cnf(145,plain,
~ member(not_subclass_element(subset_relation,cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class)),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,prove_subset_relation_alternate_defn1_1]) ).
cnf(254,plain,
( ~ member(X,subset_relation)
| member(X,cross_product(universal_class,universal_class)) ),
inference('PARAMODULATE',[status(thm)],[intersection1,subset_relation,theory(equality)]) ).
cnf(9209,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[254,144]),145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET451-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n022.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 : Sun Jul 10 03:25:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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 2022-07-10T03:25:25
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-10T03:25:25
% 1.95/2.13
% 1.95/2.13
% 1.95/2.13 #||
% 1.95/2.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.95/2.13 % SZS output start Refutation
% See solution above
% 1.95/2.13 ||#
% 1.95/2.13
% 1.95/2.13 ; Summary of computation:
% 1.95/2.13 ; 17827 formulas have been input or derived (from 374 formulas).
% 1.95/2.13 ; 9209 (52%) were retained. Of these,
% 1.95/2.13 ; 369 ( 4%) were simplified or subsumed later,
% 1.95/2.13 ; 8840 (96%) are still being kept.
% 1.95/2.13 ;
% 1.95/2.13 ; Run time in seconds excluding printing time:
% 1.95/2.13 ; 0.021 1% Read assertion file (1 call)
% 1.95/2.13 ; 0.004 0% Assert (113 calls)
% 1.95/2.13 ; 0.585 35% Process new row (17,122 calls)
% 1.95/2.13 ; 0.524 32% Resolution (746 calls)
% 1.95/2.13 ; 0.009 1% Paramodulation (373 calls)
% 1.95/2.13 ; 0.001 0% Factoring (7 calls)
% 1.95/2.13 ; 0.014 1% Condensing (1,258 calls)
% 1.95/2.13 ; 0.057 3% Forward subsumption (1,258 calls)
% 1.95/2.13 ; 0.036 2% Backward subsumption (1,223 calls)
% 1.95/2.13 ; 0.004 0% Clause clause subsumption (2,724 calls)
% 1.95/2.13 ; 0.235 14% Forward simplification (17,116 calls)
% 1.95/2.13 ; 0.081 5% Backward simplification (9,194 calls)
% 1.95/2.13 ; 0.007 0% Ordering (2,986 calls)
% 1.95/2.13 ; 0.001 0% Sortal reasoning (32 calls)
% 1.95/2.13 ; 0.000 0% Purity testing (1 call)
% 1.95/2.13 ; 0.075 5% Other
% 1.95/2.13 ; 1.654 Total
% 1.95/2.13 ; 1.656 Real time
% 1.95/2.13 ;
% 1.95/2.13 ; Term-hash-array has 13,762 terms in all.
% 1.95/2.13 ; Feature-vector-row-index has 1,199 entries (1,199 at peak, 1,223 added, 24 deleted).
% 1.95/2.13 ; Feature-vector-row-index has 5,815 nodes (5,815 at peak, 5,927 added, 112 deleted).
% 1.95/2.13 ; Retrieved 2,595 possibly forward subsuming rows in 1,258 calls.
% 1.95/2.13 ; Retrieved 855 possibly backward subsumed rows in 1,223 calls.
% 1.95/2.13 ; Path-index has 13,340 entries (13,340 at peak, 13,817 added, 477 deleted).
% 1.95/2.13 ; Path-index has 6,964 nodes (6,964 at peak, 7,085 added, 121 deleted).
% 1.95/2.13 ; Trie-index has 13,340 entries (13,340 at peak, 13,817 added, 477 deleted).
% 1.95/2.13 ; Trie-index has 39,274 nodes (39,274 at peak, 40,377 added, 1,103 deleted).
% 1.95/2.13 ; Retrieved 11,370 generalization terms in 42,649 calls.
% 1.95/2.13 ; Retrieved 8,121 instance terms in 7,970 calls.
% 1.95/2.13 ; Retrieved 1,032,564 unifiable terms in 13,111 calls.
% 1.95/2.13 ;
% 1.95/2.13 ; The agenda of rows to process has 2 entries:
% 1.95/2.13 ; 2 with value 14
% 1.95/2.13 ; The agenda of rows to give has 8487 entries:
% 1.95/2.13 ; 151 with value (4 12) 16 with value (4 24) 2 with value (4 37)
% 1.95/2.13 ; 210 with value (4 13) 6 with value (4 25) 1 with value (4 43)
% 1.95/2.13 ; 397 with value (4 14) 9 with value (4 26) 1 with value (4 44)
% 1.95/2.13 ; 367 with value (4 15) 15 with value (4 27) 1 with value (4 45)
% 1.95/2.13 ; 550 with value (4 16) 10 with value (4 28) 4 with value (4 46)
% 1.95/2.13 ; 871 with value (4 17) 14 with value (4 29) 2 with value (4 49)
% 1.95/2.13 ; 1233 with value (4 18) 10 with value (4 30) 1 with value (4 51)
% 1.95/2.13 ; 1553 with value (4 19) 3 with value (4 31) 1 with value (4 53)
% 1.95/2.13 ; 1503 with value (4 20) 1 with value (4 32) 1 with value (4 55)
% 1.95/2.13 ; 1005 with value (4 21) 2 with value (4 33) 1 with value (4 59)
% 1.95/2.13 ; 410 with value (4 22) 3 with value (4 34) 1 with value (4 63)
% 1.95/2.13 ; 132 with value (4 23)
% 1.95/2.13 Evaluation took:
% 1.95/2.13 1.658 seconds of real time
% 1.95/2.13 1.565267 seconds of user run time
% 1.95/2.13 0.092058 seconds of system run time
% 1.95/2.13 [Run times include 0.184 seconds GC run time.]
% 1.95/2.13 0 calls to %EVAL
% 1.95/2.13 0 page faults and
% 1.95/2.13 111,308,656 bytes consed.
% 1.95/2.13 :PROOF-FOUND
% 1.95/2.13 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T03:25:27
% 1.95/2.13 :PROOF-FOUND
% 1.95/2.13 *
%------------------------------------------------------------------------------