TSTP Solution File: SET090+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET090+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 05:07:10 EDT 2022
% Result : Theorem 0.69s 0.91s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 9 unt; 1 nHn; 9 RR)
% Number of literals : 17 ( 8 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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(9,axiom,
( member(X,unordered_pair(Y,Z))
| ~ member(X,universal_class)
| X != Y ),
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(93,axiom,
( ~ member(X,universal_class)
| singleton(member_of(singleton(X))) = singleton(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_singleton_singleton) ).
cnf(96,negated_conjecture,
member('SKOLEMAAAV9',universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_singleton) ).
cnf(97,negated_conjecture,
'SKOLEMAAAV8' = singleton('SKOLEMAAAV9'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_singleton) ).
cnf(98,negated_conjecture,
member_of('SKOLEMAAAV8') != 'SKOLEMAAAV9',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_singleton) ).
cnf(289,plain,
~ member('SKOLEMAAAV9',singleton(member_of('SKOLEMAAAV8'))),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[8,98,98]),12,theory(equality)]) ).
cnf(295,plain,
member('SKOLEMAAAV9',unordered_pair('SKOLEMAAAV9',X)),
inference('HYPERRESOLVE',[status(thm)],[9,96,theory(equality)]) ).
cnf(395,plain,
singleton(member_of('SKOLEMAAAV8')) = 'SKOLEMAAAV8',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[93,96]),97,theory(equality)]) ).
cnf(396,plain,
~ member('SKOLEMAAAV9','SKOLEMAAAV8'),
inference('REWRITE',[status(thm)],[289,395,theory(equality)]) ).
cnf(2411,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[295,12,theory(equality)]),396,97,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET090+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 21:38:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 *
% 0.19/0.44 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45 (USE-FACTORING :POS)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45 *
% 0.19/0.45 "."
% 0.19/0.45 *
% 0.19/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T21:38:30
% 0.19/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-09T21:38:30
% 0.69/0.91
% 0.69/0.91
% 0.69/0.91 #||
% 0.69/0.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.91 % SZS output start Refutation
% See solution above
% 0.69/0.91 ||#
% 0.69/0.91
% 0.69/0.91 ; Summary of computation:
% 0.69/0.91 ; 4711 formulas have been input or derived (from 145 formulas).
% 0.69/0.91 ; 2411 (51%) were retained. Of these,
% 0.69/0.91 ; 35 ( 1%) were simplified or subsumed later,
% 0.69/0.91 ; 2376 (99%) are still being kept.
% 0.69/0.91 ;
% 0.69/0.91 ; Run time in seconds:
% 0.69/0.91 ; 0.011 2% Read assertion file (1 call)
% 0.69/0.91 ; 0.003 1% Assert (48 calls)
% 0.69/0.91 ; 0.122 27% Process new row (4,384 calls)
% 0.69/0.91 ; 0.097 21% Resolution (288 calls)
% 0.69/0.91 ; 0.004 1% Paramodulation (144 calls)
% 0.69/0.91 ; 0.000 0% Factoring (8 calls)
% 0.69/0.91 ; 0.015 3% Condensing (1,142 calls)
% 0.69/0.91 ; 0.048 11% Forward subsumption (1,142 calls)
% 0.69/0.91 ; 0.053 12% Backward subsumption (1,063 calls)
% 0.69/0.91 ; 0.004 1% Clause clause subsumption (2,015 calls)
% 0.69/0.91 ; 0.051 11% Forward simplification (4,272 calls)
% 0.69/0.91 ; 0.010 2% Backward simplification (2,408 calls)
% 0.69/0.91 ; 0.002 0% Ordering (2,597 calls)
% 0.69/0.91 ; 0.000 0% Sortal reasoning (32 calls)
% 0.69/0.91 ; 0.000 0% Purity testing (1 call)
% 0.69/0.91 ; 0.034 7% Other
% 0.69/0.91 ; 0.454 Total
% 0.69/0.91 ; 0.454 Real time
% 0.69/0.91 ;
% 0.69/0.91 ; Term-hash-array has 4,663 terms in all.
% 0.69/0.91 ; Feature-vector-row-index has 1,049 entries (1,049 at peak, 1,063 added, 14 deleted).
% 0.69/0.91 ; Feature-vector-row-index has 4,558 nodes (4,558 at peak, 4,613 added, 55 deleted).
% 0.69/0.91 ; Retrieved 1,943 possibly forward subsuming rows in 1,142 calls.
% 0.69/0.91 ; Retrieved 934 possibly backward subsumed rows in 1,063 calls.
% 0.69/0.91 ; Path-index has 4,631 entries (4,631 at peak, 4,685 added, 54 deleted).
% 0.69/0.91 ; Path-index has 4,977 nodes (4,977 at peak, 5,037 added, 60 deleted).
% 0.69/0.91 ; Trie-index has 4,631 entries (4,631 at peak, 4,685 added, 54 deleted).
% 0.69/0.91 ; Trie-index has 13,085 nodes (13,085 at peak, 13,213 added, 128 deleted).
% 0.69/0.91 ; Retrieved 2,754 generalization terms in 11,720 calls.
% 0.69/0.91 ; Retrieved 1,362 instance terms in 1,344 calls.
% 0.69/0.91 ; Retrieved 164,660 unifiable terms in 3,714 calls.
% 0.69/0.91 ;
% 0.69/0.91 ; The agenda of rows to process has 159 entries:
% 0.69/0.91 ; 6 with value 9 24 with value 14 1 with value 18
% 0.69/0.91 ; 5 with value 10 48 with value 15 4 with value 19
% 0.69/0.91 ; 8 with value 11 37 with value 16 4 with value 20
% 0.69/0.91 ; 10 with value 12 2 with value 17 2 with value 21
% 0.69/0.91 ; 8 with value 13
% 0.69/0.91 ; The agenda of rows to give has 2234 entries:
% 0.69/0.91 ; 30 with value (4 8) 119 with value (4 21) 7 with value (4 34)
% 0.69/0.91 ; 61 with value (4 9) 44 with value (4 22) 5 with value (4 35)
% 0.69/0.91 ; 105 with value (4 10) 38 with value (4 23) 1 with value (4 36)
% 0.69/0.91 ; 90 with value (4 11) 26 with value (4 24) 2 with value (4 37)
% 0.69/0.91 ; 109 with value (4 12) 34 with value (4 25) 9 with value (4 38)
% 0.69/0.91 ; 149 with value (4 13) 14 with value (4 26) 10 with value (4 39)
% 0.69/0.91 ; 294 with value (4 14) 4 with value (4 27) 1 with value (4 40)
% 0.69/0.91 ; 344 with value (4 15) 12 with value (4 28) 7 with value (4 41)
% 0.69/0.91 ; 148 with value (4 16) 8 with value (4 29) 6 with value (4 42)
% 0.69/0.91 ; 113 with value (4 17) 11 with value (4 30) 1 with value (4 43)
% 0.69/0.91 ; 126 with value (4 18) 3 with value (4 31) 4 with value (4 44)
% 0.69/0.91 ; 160 with value (4 19) 14 with value (4 32) 4 with value (4 45)
% 0.69/0.91 ; 119 with value (4 20) 2 with value (4 33)
% 0.69/0.91 Evaluation took:
% 0.69/0.91 0.455 seconds of real time
% 0.69/0.91 0.423286 seconds of user run time
% 0.69/0.91 0.031883 seconds of system run time
% 0.69/0.91 [Run times include 0.024 seconds GC run time.]
% 0.69/0.91 0 calls to %EVAL
% 0.69/0.91 0 page faults and
% 0.69/0.91 35,098,176 bytes consed.
% 0.69/0.91 :PROOF-FOUND
% 0.69/0.91 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T21:38:30
% 0.69/0.91 :PROOF-FOUND
% 0.69/0.91 *
%------------------------------------------------------------------------------