TSTP Solution File: SET095+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET095+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 05:07:15 EDT 2022
% Result : Theorem 7.79s 7.97s
% Output : Refutation 7.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 2 nHn; 9 RR)
% Number of literals : 16 ( 5 equ; 5 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( subclass(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',subclass_defn) ).
cnf(3,axiom,
( subclass(X,Y)
| ~ member('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',subclass_defn) ).
cnf(8,axiom,
( ~ member(X,unordered_pair(Y,Z))
| X = Y
| X = Z ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',unordered_pair_defn) ).
cnf(12,axiom,
singleton(X) = unordered_pair(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).
cnf(92,negated_conjecture,
member('SKOLEMAAAV8','SKOLEMAAAV9'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_singletons2) ).
cnf(93,negated_conjecture,
~ subclass(singleton('SKOLEMAAAV8'),'SKOLEMAAAV9'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_singletons2) ).
cnf(116,plain,
member('SKOLEMAAAV1'(singleton('SKOLEMAAAV8'),'SKOLEMAAAV9'),singleton('SKOLEMAAAV8')),
inference('HYPERRESOLVE',[status(thm)],[93,2]) ).
cnf(117,plain,
~ member('SKOLEMAAAV1'(singleton('SKOLEMAAAV8'),'SKOLEMAAAV9'),'SKOLEMAAAV9'),
inference('UR-RESOLVE',[status(thm)],[3,93]) ).
cnf(258,plain,
( ~ member(X,singleton(Y))
| X = Y ),
inference('PARAMODULATE',[status(thm)],[8,12,theory(equality)]) ).
cnf(35824,plain,
'SKOLEMAAAV1'(singleton('SKOLEMAAAV8'),'SKOLEMAAAV9') = 'SKOLEMAAAV8',
inference('HYPERRESOLVE',[status(thm)],[258,116]) ).
cnf(35825,plain,
$false,
inference('REWRITE',[status(thm)],[117,92,35824,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET095+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 13:09:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T13:09:15
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-10T13:09:15
% 7.79/7.97
% 7.79/7.97
% 7.79/7.97 #||
% 7.79/7.97 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.79/7.97 % SZS output start Refutation
% See solution above
% 7.79/7.97 ||#
% 7.79/7.97
% 7.79/7.97 ; Summary of computation:
% 7.79/7.97 ; 71101 formulas have been input or derived (from 617 formulas).
% 7.79/7.97 ; 35825 (50%) were retained. Of these,
% 7.79/7.97 ; 848 ( 2%) were simplified or subsumed later,
% 7.79/7.97 ; 34977 (98%) are still being kept.
% 7.79/7.97 ;
% 7.79/7.97 ; Run time in seconds excluding printing time:
% 7.79/7.97 ; 0.011 0% Read assertion file (1 call)
% 7.79/7.97 ; 0.003 0% Assert (44 calls)
% 7.79/7.97 ; 2.408 32% Process new row (69,719 calls)
% 7.79/7.97 ; 3.076 41% Resolution (1,232 calls)
% 7.79/7.97 ; 0.010 0% Paramodulation (616 calls)
% 7.79/7.97 ; 0.000 0% Factoring (8 calls)
% 7.79/7.97 ; 0.023 0% Condensing (3,366 calls)
% 7.79/7.97 ; 0.153 2% Forward subsumption (3,366 calls)
% 7.79/7.97 ; 0.215 3% Backward subsumption (3,279 calls)
% 7.79/7.97 ; 0.023 0% Clause clause subsumption (8,752 calls)
% 7.79/7.97 ; 0.843 11% Forward simplification (69,343 calls)
% 7.79/7.97 ; 0.476 6% Backward simplification (35,822 calls)
% 7.79/7.97 ; 0.023 0% Ordering (10,426 calls)
% 7.79/7.97 ; 0.000 0% Sortal reasoning (32 calls)
% 7.79/7.97 ; 0.000 0% Purity testing (1 call)
% 7.79/7.97 ; 0.236 3% Other
% 7.79/7.97 ; 7.500 Total
% 7.79/7.97 ; 7.502 Real time
% 7.79/7.97 ;
% 7.79/7.97 ; Term-hash-array has 50,336 terms in all.
% 7.79/7.97 ; Feature-vector-row-index has 3,215 entries (3,229 at peak, 3,279 added, 64 deleted).
% 7.79/7.97 ; Feature-vector-row-index has 11,772 nodes (11,846 at peak, 12,105 added, 333 deleted).
% 7.79/7.97 ; Retrieved 7,687 possibly forward subsuming rows in 3,366 calls.
% 7.79/7.97 ; Retrieved 4,220 possibly backward subsumed rows in 3,279 calls.
% 7.79/7.97 ; Path-index has 49,210 entries (49,678 at peak, 50,417 added, 1,207 deleted).
% 7.79/7.97 ; Path-index has 10,495 nodes (10,522 at peak, 10,709 added, 214 deleted).
% 7.79/7.97 ; Trie-index has 49,210 entries (49,678 at peak, 50,417 added, 1,207 deleted).
% 7.79/7.97 ; Trie-index has 123,361 nodes (125,066 at peak, 127,369 added, 4,008 deleted).
% 7.79/7.97 ; Retrieved 44,992 generalization terms in 172,813 calls.
% 7.79/7.97 ; Retrieved 32,626 instance terms in 32,542 calls.
% 7.79/7.97 ; Retrieved 7,167,526 unifiable terms in 22,641 calls.
% 7.79/7.97 ;
% 7.79/7.97 ; The agenda of backward simplifiable rows to process has 341 entries:
% 7.79/7.97 ; 341 with value 0
% 7.79/7.97 ; The agenda of rows to process has 72 entries:
% 7.79/7.97 ; 7 with value 11 28 with value 13 2 with value 17
% 7.79/7.97 ; 34 with value 12 1 with value 16
% 7.79/7.97 ; The agenda of rows to give has 34377 entries:
% 7.79/7.97 ; 537 with value (4 11) 221 with value (4 24) 3 with value (4 38)
% 7.79/7.97 ; 760 with value (4 12) 81 with value (4 25) 8 with value (4 39)
% 7.79/7.97 ; 1101 with value (4 13) 44 with value (4 26) 7 with value (4 40)
% 7.79/7.97 ; 1359 with value (4 14) 33 with value (4 27) 11 with value (4 41)
% 7.79/7.97 ; 1772 with value (4 15) 16 with value (4 28) 14 with value (4 42)
% 7.79/7.97 ; 3501 with value (4 16) 17 with value (4 29) 19 with value (4 43)
% 7.79/7.97 ; 5609 with value (4 17) 5 with value (4 30) 30 with value (4 44)
% 7.79/7.97 ; 8972 with value (4 18) 3 with value (4 31) 16 with value (4 45)
% 7.79/7.97 ; 5078 with value (4 19) 6 with value (4 32) 3 with value (4 46)
% 7.79/7.97 ; 2897 with value (4 20) 3 with value (4 33) 4 with value (4 47)
% 7.79/7.97 ; 1351 with value (4 21) 3 with value (4 34) 1 with value (4 49)
% 7.79/7.97 ; 645 with value (4 22) 2 with value (4 35) 2 with value (4 50)
% 7.79/7.97 ; 243 with value (4 23)
% 7.79/7.97 Evaluation took:
% 7.79/7.97 7.504 seconds of real time
% 7.79/7.97 7.021022 seconds of user run time
% 7.79/7.97 0.48384 seconds of system run time
% 7.79/7.97 [Run times include 1.463 seconds GC run time.]
% 7.79/7.97 0 calls to %EVAL
% 7.79/7.97 0 page faults and
% 7.79/7.97 420,570,960 bytes consed.
% 7.79/7.97 :PROOF-FOUND
% 7.79/7.97 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T13:09:23
% 7.79/7.97 :PROOF-FOUND
% 7.79/7.97 *
%------------------------------------------------------------------------------