TSTP Solution File: SET510-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET510-6 : 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 05:10:03 EDT 2022
% Result : Unsatisfiable 1.15s 1.34s
% Output : Refutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 14 unt; 4 nHn; 17 RR)
% Number of literals : 33 ( 13 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 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(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(unordered_pair_member,axiom,
( ~ member(X,unordered_pair(Y,Z))
| X = Y
| X = Z ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
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(regularity1,axiom,
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(regularity2,axiom,
( X = null_class
| intersection(X,regular(X)) = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity2) ).
cnf(prove_corollary_to_singleton_is_null_class_1,negated_conjecture,
singleton(universal_class) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_singleton_is_null_class_1) ).
cnf(140,plain,
member(regular(singleton(universal_class)),singleton(universal_class)),
inference('UR-RESOLVE',[status(thm)],[regularity1,prove_corollary_to_singleton_is_null_class_1]) ).
cnf(153,plain,
( X = null_class
| member(regular(X),universal_class) ),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,regularity1]) ).
cnf(183,plain,
intersection(singleton(universal_class),regular(singleton(universal_class))) = null_class,
inference('UR-RESOLVE',[status(thm)],[regularity2,prove_corollary_to_singleton_is_null_class_1]) ).
cnf(206,plain,
( ~ member(X,singleton(Y))
| X = Y ),
inference('PARAMODULATE',[status(thm)],[unordered_pair_member,singleton_set,theory(equality)]) ).
cnf(896,plain,
member(regular(singleton(universal_class)),universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,140,class_elements_are_sets]) ).
cnf(2327,plain,
~ member(regular(singleton(universal_class)),complement(universal_class)),
inference('UR-RESOLVE',[status(thm)],[complement1,896]) ).
cnf(2331,plain,
member(regular(singleton(universal_class)),intersection(singleton(universal_class),universal_class)),
inference('HYPERRESOLVE',[status(thm)],[intersection3,896,140]) ).
cnf(2529,plain,
complement(universal_class) = null_class,
inference('HYPERRESOLVE',[status(thm)],[complement1,153,regularity1]) ).
cnf(2742,plain,
~ member(regular(singleton(universal_class)),null_class),
inference('REWRITE',[status(thm)],[2327,2529,theory(equality)]) ).
cnf(4743,plain,
regular(singleton(universal_class)) = universal_class,
inference('HYPERRESOLVE',[status(thm)],[206,140]) ).
cnf(4745,plain,
intersection(singleton(universal_class),universal_class) = null_class,
inference('REWRITE',[status(thm)],[183,4743,theory(equality)]) ).
cnf(4828,plain,
member(universal_class,null_class),
inference('REWRITE',[status(thm)],[2331,4745,4743,theory(equality)]) ).
cnf(4921,plain,
$false,
inference('REWRITE',[status(thm)],[2742,4828,4743,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET510-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % 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 20:41:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-10T20:41:29
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-10T20:41:29
% 1.15/1.34
% 1.15/1.34
% 1.15/1.34 #||
% 1.15/1.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.15/1.34 % SZS output start Refutation
% See solution above
% 1.15/1.34 ||#
% 1.15/1.34
% 1.15/1.34 ; Summary of computation:
% 1.15/1.34 ; 9528 formulas have been input or derived (from 256 formulas).
% 1.15/1.34 ; 4921 (52%) were retained. Of these,
% 1.15/1.34 ; 482 (10%) were simplified or subsumed later,
% 1.15/1.34 ; 4439 (90%) are still being kept.
% 1.15/1.34 ;
% 1.15/1.34 ; Run time in seconds excluding printing time:
% 1.15/1.34 ; 0.021 2% Read assertion file (1 call)
% 1.15/1.34 ; 0.005 1% Assert (113 calls)
% 1.15/1.34 ; 0.284 33% Process new row (9,070 calls)
% 1.15/1.34 ; 0.234 27% Resolution (510 calls)
% 1.15/1.34 ; 0.012 1% Paramodulation (255 calls)
% 1.15/1.34 ; 0.000 0% Factoring (5 calls)
% 1.15/1.34 ; 0.007 1% Condensing (718 calls)
% 1.15/1.34 ; 0.048 6% Forward subsumption (718 calls)
% 1.15/1.34 ; 0.039 5% Backward subsumption (688 calls)
% 1.15/1.34 ; 0.001 0% Clause clause subsumption (1,532 calls)
% 1.15/1.34 ; 0.098 11% Forward simplification (9,068 calls)
% 1.15/1.34 ; 0.057 7% Backward simplification (4,906 calls)
% 1.15/1.34 ; 0.002 0% Ordering (1,730 calls)
% 1.15/1.34 ; 0.000 0% Sortal reasoning (32 calls)
% 1.15/1.34 ; 0.000 0% Purity testing (1 call)
% 1.15/1.34 ; 0.045 5% Other
% 1.15/1.34 ; 0.853 Total
% 1.15/1.34 ; 0.855 Real time
% 1.15/1.34 ;
% 1.15/1.34 ; Term-hash-array has 7,683 terms in all.
% 1.15/1.34 ; Feature-vector-row-index has 657 entries (666 at peak, 688 added, 31 deleted).
% 1.15/1.34 ; Feature-vector-row-index has 3,347 nodes (3,393 at peak, 3,493 added, 146 deleted).
% 1.15/1.34 ; Retrieved 1,271 possibly forward subsuming rows in 718 calls.
% 1.15/1.34 ; Retrieved 608 possibly backward subsumed rows in 688 calls.
% 1.15/1.34 ; Path-index has 7,082 entries (7,172 at peak, 7,776 added, 694 deleted).
% 1.15/1.34 ; Path-index has 5,551 nodes (5,566 at peak, 5,669 added, 118 deleted).
% 1.15/1.34 ; Trie-index has 7,082 entries (7,172 at peak, 7,776 added, 694 deleted).
% 1.15/1.34 ; Trie-index has 20,207 nodes (20,529 at peak, 22,016 added, 1,809 deleted).
% 1.15/1.34 ; Retrieved 6,254 generalization terms in 22,365 calls.
% 1.15/1.34 ; Retrieved 4,241 instance terms in 4,217 calls.
% 1.15/1.34 ; Retrieved 383,292 unifiable terms in 7,448 calls.
% 1.15/1.34 ;
% 1.15/1.34 ; The agenda of backward simplifiable rows to process has 66 entries:
% 1.15/1.34 ; 66 with value 0
% 1.15/1.34 ; The agenda of rows to process has 29 entries:
% 1.15/1.34 ; 4 with value 10 12 with value 12 1 with value 16
% 1.15/1.34 ; 5 with value 11 7 with value 13
% 1.15/1.34 ; The agenda of rows to give has 4204 entries:
% 1.15/1.34 ; 1 with value (4 6) 345 with value (4 20) 2 with value (4 33)
% 1.15/1.34 ; 2 with value (4 7) 229 with value (4 21) 3 with value (4 34)
% 1.15/1.34 ; 2 with value (4 9) 22 with value (4 22) 2 with value (4 37)
% 1.15/1.34 ; 8 with value (4 10) 13 with value (4 23) 1 with value (4 43)
% 1.15/1.34 ; 82 with value (4 11) 11 with value (4 24) 1 with value (4 44)
% 1.15/1.34 ; 124 with value (4 12) 4 with value (4 25) 1 with value (4 45)
% 1.15/1.34 ; 173 with value (4 13) 10 with value (4 26) 4 with value (4 46)
% 1.15/1.34 ; 247 with value (4 14) 6 with value (4 27) 2 with value (4 49)
% 1.15/1.34 ; 227 with value (4 15) 9 with value (4 28) 1 with value (4 51)
% 1.15/1.34 ; 505 with value (4 16) 12 with value (4 29) 1 with value (4 53)
% 1.15/1.34 ; 571 with value (4 17) 3 with value (4 30) 1 with value (4 55)
% 1.15/1.34 ; 901 with value (4 18) 2 with value (4 31) 1 with value (4 59)
% 1.15/1.34 ; 673 with value (4 19) 1 with value (4 32) 1 with value (4 63)
% 1.15/1.34 Evaluation took:
% 1.15/1.34 0.856 seconds of real time
% 1.15/1.34 0.800824 seconds of user run time
% 1.15/1.34 0.05498 seconds of system run time
% 1.15/1.34 [Run times include 0.075 seconds GC run time.]
% 1.15/1.34 0 calls to %EVAL
% 1.15/1.34 0 page faults and
% 1.15/1.34 58,712,768 bytes consed.
% 1.15/1.34 :PROOF-FOUND
% 1.15/1.34 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T20:41:30
% 1.15/1.34 :PROOF-FOUND
% 1.15/1.34 *
%------------------------------------------------------------------------------