TSTP Solution File: SET454-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET454-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 05:09:45 EDT 2022
% Result : Unsatisfiable 3.72s 3.97s
% Output : Refutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 7 unt; 1 nHn; 12 RR)
% Number of literals : 19 ( 2 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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(intersection1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(intersection2,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
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/sandbox2/benchmark/Axioms/SET004-0.ax',subset_relation) ).
cnf(identity_relation,axiom,
intersection(inverse(subset_relation),subset_relation) = identity_relation,
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',identity_relation) ).
cnf(prove_identity_alternate_defn1_1,negated_conjecture,
~ subclass(identity_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_identity_alternate_defn1_1) ).
cnf(144,plain,
member(not_subclass_element(identity_relation,cross_product(universal_class,universal_class)),identity_relation),
inference('HYPERRESOLVE',[status(thm)],[prove_identity_alternate_defn1_1,not_subclass_members1]) ).
cnf(145,plain,
~ member(not_subclass_element(identity_relation,cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class)),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,prove_identity_alternate_defn1_1]) ).
cnf(154,plain,
( ~ member(X,identity_relation)
| member(X,subset_relation) ),
inference('PARAMODULATE',[status(thm)],[intersection2,identity_relation,theory(equality)]) ).
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(2328,plain,
member(not_subclass_element(identity_relation,cross_product(universal_class,universal_class)),subset_relation),
inference('HYPERRESOLVE',[status(thm)],[154,144]) ).
cnf(18216,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[254,2328]),145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET454-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n003.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 17:35:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T17:35:14
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-10T17:35:14
% 3.72/3.97
% 3.72/3.97
% 3.72/3.97 #||
% 3.72/3.97 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.72/3.97 % SZS output start Refutation
% See solution above
% 3.72/3.97 ||#
% 3.72/3.97
% 3.72/3.97 ; Summary of computation:
% 3.72/3.97 ; 35671 formulas have been input or derived (from 440 formulas).
% 3.72/3.97 ; 18216 (51%) were retained. Of these,
% 3.72/3.97 ; 371 ( 2%) were simplified or subsumed later,
% 3.72/3.97 ; 17845 (98%) are still being kept.
% 3.72/3.97 ;
% 3.72/3.97 ; Run time in seconds excluding printing time:
% 3.72/3.97 ; 0.021 1% Read assertion file (1 call)
% 3.72/3.97 ; 0.005 0% Assert (113 calls)
% 3.72/3.97 ; 1.183 34% Process new row (34,241 calls)
% 3.72/3.97 ; 1.294 37% Resolution (878 calls)
% 3.72/3.97 ; 0.010 0% Paramodulation (439 calls)
% 3.72/3.97 ; 0.000 0% Factoring (9 calls)
% 3.72/3.97 ; 0.015 0% Condensing (2,229 calls)
% 3.72/3.97 ; 0.139 4% Forward subsumption (2,229 calls)
% 3.72/3.97 ; 0.092 3% Backward subsumption (2,186 calls)
% 3.72/3.97 ; 0.015 0% Clause clause subsumption (8,177 calls)
% 3.72/3.97 ; 0.399 11% Forward simplification (34,235 calls)
% 3.72/3.97 ; 0.195 6% Backward simplification (18,201 calls)
% 3.72/3.97 ; 0.013 0% Ordering (5,526 calls)
% 3.72/3.97 ; 0.000 0% Sortal reasoning (32 calls)
% 3.72/3.97 ; 0.000 0% Purity testing (1 call)
% 3.72/3.97 ; 0.115 3% Other
% 3.72/3.97 ; 3.496 Total
% 3.72/3.97 ; 3.499 Real time
% 3.72/3.97 ;
% 3.72/3.97 ; Term-hash-array has 26,002 terms in all.
% 3.72/3.97 ; Feature-vector-row-index has 2,160 entries (2,160 at peak, 2,186 added, 26 deleted).
% 3.72/3.97 ; Feature-vector-row-index has 9,398 nodes (9,398 at peak, 9,521 added, 123 deleted).
% 3.72/3.97 ; Retrieved 10,242 possibly forward subsuming rows in 2,229 calls.
% 3.72/3.97 ; Retrieved 2,380 possibly backward subsumed rows in 2,186 calls.
% 3.72/3.97 ; Path-index has 25,580 entries (25,580 at peak, 26,061 added, 481 deleted).
% 3.72/3.97 ; Path-index has 8,287 nodes (8,287 at peak, 8,412 added, 125 deleted).
% 3.72/3.97 ; Trie-index has 25,580 entries (25,580 at peak, 26,061 added, 481 deleted).
% 3.72/3.97 ; Trie-index has 73,276 nodes (73,276 at peak, 74,393 added, 1,117 deleted).
% 3.72/3.97 ; Retrieved 23,913 generalization terms in 89,495 calls.
% 3.72/3.97 ; Retrieved 16,165 instance terms in 16,014 calls.
% 3.72/3.97 ; Retrieved 2,955,665 unifiable terms in 22,844 calls.
% 3.72/3.97 ;
% 3.72/3.97 ; The agenda of rows to process has 486 entries:
% 3.72/3.97 ; 7 with value 15 73 with value 20 38 with value 23
% 3.72/3.97 ; 12 with value 18 140 with value 21 4 with value 24
% 3.72/3.97 ; 24 with value 19 188 with value 22
% 3.72/3.97 ; The agenda of rows to give has 17426 entries:
% 3.72/3.97 ; 134 with value (4 12) 156 with value (4 24) 2 with value (4 37)
% 3.72/3.97 ; 258 with value (4 13) 8 with value (4 25) 1 with value (4 43)
% 3.72/3.97 ; 442 with value (4 14) 13 with value (4 26) 1 with value (4 44)
% 3.72/3.97 ; 539 with value (4 15) 15 with value (4 27) 1 with value (4 45)
% 3.72/3.97 ; 715 with value (4 16) 10 with value (4 28) 4 with value (4 46)
% 3.72/3.97 ; 1092 with value (4 17) 16 with value (4 29) 2 with value (4 49)
% 3.72/3.97 ; 1738 with value (4 18) 17 with value (4 30) 1 with value (4 51)
% 3.72/3.97 ; 2470 with value (4 19) 3 with value (4 31) 1 with value (4 53)
% 3.72/3.97 ; 3392 with value (4 20) 4 with value (4 32) 1 with value (4 55)
% 3.72/3.97 ; 3255 with value (4 21) 2 with value (4 33) 1 with value (4 59)
% 3.72/3.97 ; 2373 with value (4 22) 3 with value (4 34) 1 with value (4 63)
% 3.72/3.97 ; 755 with value (4 23)
% 3.72/3.97 Evaluation took:
% 3.72/3.97 3.501 seconds of real time
% 3.72/3.97 3.257354 seconds of user run time
% 3.72/3.97 0.242 seconds of system run time
% 3.72/3.97 [Run times include 0.528 seconds GC run time.]
% 3.72/3.97 0 calls to %EVAL
% 3.72/3.97 0 page faults and
% 3.72/3.97 237,917,320 bytes consed.
% 3.72/3.97 :PROOF-FOUND
% 3.72/3.97 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T17:35:18
% 3.72/3.97 :PROOF-FOUND
% 3.72/3.97 *
%------------------------------------------------------------------------------