TSTP Solution File: SET096+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET096+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 05:07:17 EDT 2022
% Result : Theorem 7.28s 7.51s
% Output : Refutation 7.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 13 unt; 3 nHn; 17 RR)
% Number of literals : 30 ( 10 equ; 11 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',subclass_defn) ).
cnf(2,axiom,
( subclass(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',subclass_defn) ).
cnf(3,axiom,
( subclass(X,Y)
| ~ member('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',subclass_defn) ).
cnf(6,axiom,
( X = Y
| ~ subclass(X,Y)
| ~ subclass(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',extensionality) ).
cnf(8,axiom,
( ~ member(X,unordered_pair(Y,Z))
| X = Y
| X = Z ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',unordered_pair_defn) ).
cnf(12,axiom,
singleton(X) = unordered_pair(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).
cnf(87,axiom,
( X = null_class
| member('SKOLEMAAAV6'(X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',regularity) ).
cnf(92,negated_conjecture,
subclass('SKOLEMAAAV8',singleton('SKOLEMAAAV9')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',two_subsets_of_singleton) ).
cnf(93,negated_conjecture,
'SKOLEMAAAV8' != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',two_subsets_of_singleton) ).
cnf(94,negated_conjecture,
singleton('SKOLEMAAAV9') != 'SKOLEMAAAV8',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',two_subsets_of_singleton) ).
cnf(112,plain,
member('SKOLEMAAAV6'('SKOLEMAAAV8'),'SKOLEMAAAV8'),
inference('UR-RESOLVE',[status(thm)],[87,93]) ).
cnf(162,plain,
member('SKOLEMAAAV6'('SKOLEMAAAV8'),singleton('SKOLEMAAAV9')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,92,87]),93]) ).
cnf(185,plain,
~ subclass(singleton('SKOLEMAAAV9'),'SKOLEMAAAV8'),
inference('UR-RESOLVE',[status(thm)],[6,94,92]) ).
cnf(187,plain,
member('SKOLEMAAAV1'(singleton('SKOLEMAAAV9'),'SKOLEMAAAV8'),singleton('SKOLEMAAAV9')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,2,92]),94]) ).
cnf(259,plain,
( ~ member(X,singleton(Y))
| X = Y ),
inference('PARAMODULATE',[status(thm)],[8,12,theory(equality)]) ).
cnf(906,plain,
~ member('SKOLEMAAAV1'(singleton('SKOLEMAAAV9'),'SKOLEMAAAV8'),'SKOLEMAAAV8'),
inference('UR-RESOLVE',[status(thm)],[3,185]) ).
cnf(29225,plain,
'SKOLEMAAAV6'('SKOLEMAAAV8') = 'SKOLEMAAAV9',
inference('HYPERRESOLVE',[status(thm)],[259,162]) ).
cnf(29227,plain,
member('SKOLEMAAAV9','SKOLEMAAAV8'),
inference('REWRITE',[status(thm)],[112,29225,theory(equality)]) ).
cnf(34969,plain,
'SKOLEMAAAV1'(singleton('SKOLEMAAAV9'),'SKOLEMAAAV8') = 'SKOLEMAAAV9',
inference('HYPERRESOLVE',[status(thm)],[259,187]) ).
cnf(34970,plain,
$false,
inference('REWRITE',[status(thm)],[906,29227,34969,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET096+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 03:23:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-11T03:23:43
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-11T03:23:43
% 7.28/7.51
% 7.28/7.51
% 7.28/7.51 #||
% 7.28/7.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.28/7.51 % SZS output start Refutation
% See solution above
% 7.28/7.52 ||#
% 7.28/7.52
% 7.28/7.52 ; Summary of computation:
% 7.28/7.52 ; 63792 formulas have been input or derived (from 582 formulas).
% 7.28/7.52 ; 34970 (55%) were retained. Of these,
% 7.28/7.52 ; 6440 (18%) were simplified or subsumed later,
% 7.28/7.52 ; 28530 (82%) are still being kept.
% 7.28/7.52 ;
% 7.28/7.52 ; Run time in seconds excluding printing time:
% 7.28/7.52 ; 0.011 0% Read assertion file (1 call)
% 7.28/7.52 ; 0.003 0% Assert (44 calls)
% 7.28/7.52 ; 2.519 36% Process new row (62,569 calls)
% 7.28/7.52 ; 2.108 30% Resolution (1,162 calls)
% 7.28/7.52 ; 0.022 0% Paramodulation (581 calls)
% 7.28/7.52 ; 0.000 0% Factoring (8 calls)
% 7.28/7.52 ; 0.045 1% Condensing (3,353 calls)
% 7.28/7.52 ; 0.165 2% Forward subsumption (3,353 calls)
% 7.28/7.52 ; 0.261 4% Backward subsumption (3,270 calls)
% 7.28/7.52 ; 0.022 0% Clause clause subsumption (8,809 calls)
% 7.28/7.52 ; 0.793 11% Forward simplification (62,239 calls)
% 7.28/7.52 ; 0.838 12% Backward simplification (34,967 calls)
% 7.28/7.52 ; 0.019 0% Ordering (9,557 calls)
% 7.28/7.52 ; 0.000 0% Sortal reasoning (32 calls)
% 7.28/7.52 ; 0.000 0% Purity testing (1 call)
% 7.28/7.52 ; 0.236 3% Other
% 7.28/7.52 ; 7.042 Total
% 7.28/7.52 ; 7.045 Real time
% 7.28/7.52 ;
% 7.28/7.52 ; Term-hash-array has 47,858 terms in all.
% 7.28/7.52 ; Feature-vector-row-index has 2,893 entries (2,907 at peak, 3,270 added, 377 deleted).
% 7.28/7.52 ; Feature-vector-row-index has 10,442 nodes (10,571 at peak, 11,841 added, 1,399 deleted).
% 7.28/7.52 ; Retrieved 8,203 possibly forward subsuming rows in 3,353 calls.
% 7.28/7.52 ; Retrieved 4,164 possibly backward subsumed rows in 3,270 calls.
% 7.28/7.52 ; Path-index has 40,328 entries (40,735 at peak, 48,736 added, 8,408 deleted).
% 7.28/7.52 ; Path-index has 10,275 nodes (10,303 at peak, 10,790 added, 515 deleted).
% 7.28/7.52 ; Trie-index has 40,328 entries (40,735 at peak, 48,736 added, 8,408 deleted).
% 7.28/7.52 ; Trie-index has 102,076 nodes (104,564 at peak, 122,340 added, 20,264 deleted).
% 7.28/7.52 ; Retrieved 37,629 generalization terms in 166,857 calls.
% 7.28/7.52 ; Retrieved 31,764 instance terms in 31,696 calls.
% 7.28/7.52 ; Retrieved 5,253,559 unifiable terms in 20,063 calls.
% 7.28/7.52 ;
% 7.28/7.52 ; The agenda of backward simplifiable rows to process has 297 entries:
% 7.28/7.52 ; 297 with value 0
% 7.28/7.52 ; The agenda of rows to process has 68 entries:
% 7.28/7.52 ; 6 with value 11 27 with value 13 2 with value 17
% 7.28/7.52 ; 32 with value 12 1 with value 16
% 7.28/7.52 ; The agenda of rows to give has 27994 entries:
% 7.28/7.52 ; 3 with value (4 5) 2067 with value (4 20) 3 with value (4 34)
% 7.28/7.52 ; 2 with value (4 6) 1174 with value (4 21) 2 with value (4 35)
% 7.28/7.52 ; 3 with value (4 7) 577 with value (4 22) 3 with value (4 38)
% 7.28/7.52 ; 10 with value (4 8) 210 with value (4 23) 8 with value (4 39)
% 7.28/7.52 ; 19 with value (4 9) 198 with value (4 24) 6 with value (4 40)
% 7.28/7.52 ; 29 with value (4 10) 72 with value (4 25) 9 with value (4 41)
% 7.28/7.52 ; 488 with value (4 11) 39 with value (4 26) 13 with value (4 42)
% 7.28/7.52 ; 659 with value (4 12) 31 with value (4 27) 15 with value (4 43)
% 7.28/7.52 ; 1039 with value (4 13) 16 with value (4 28) 26 with value (4 44)
% 7.28/7.52 ; 1232 with value (4 14) 17 with value (4 29) 16 with value (4 45)
% 7.28/7.52 ; 1548 with value (4 15) 5 with value (4 30) 3 with value (4 46)
% 7.28/7.52 ; 2807 with value (4 16) 3 with value (4 31) 4 with value (4 47)
% 7.28/7.52 ; 4404 with value (4 17) 6 with value (4 32) 1 with value (4 49)
% 7.28/7.52 ; 6971 with value (4 18) 3 with value (4 33) 2 with value (4 50)
% 7.28/7.52 ; 4251 with value (4 19)
% 7.28/7.52 Evaluation took:
% 7.28/7.52 7.048 seconds of real time
% 7.28/7.52 6.531399 seconds of user run time
% 7.28/7.52 0.515073 seconds of system run time
% 7.28/7.52 [Run times include 1.485 seconds GC run time.]
% 7.28/7.52 0 calls to %EVAL
% 7.28/7.52 0 page faults and
% 7.28/7.52 419,598,928 bytes consed.
% 7.28/7.52 :PROOF-FOUND
% 7.28/7.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T03:23:50
% 7.28/7.52 :PROOF-FOUND
% 7.28/7.52 *
%------------------------------------------------------------------------------