TSTP Solution File: SET083+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET083+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 05:07:04 EDT 2022
% Result : Theorem 0.70s 0.88s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 7 unt; 1 nHn; 6 RR)
% Number of literals : 13 ( 6 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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(9,axiom,
( member(X,unordered_pair(Y,Z))
| ~ member(X,universal_class)
| X != Y ),
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,
singleton('SKOLEMAAAV8') = singleton('SKOLEMAAAV9'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_identified_by_element1) ).
cnf(93,negated_conjecture,
member('SKOLEMAAAV8',universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_identified_by_element1) ).
cnf(94,negated_conjecture,
'SKOLEMAAAV8' != 'SKOLEMAAAV9',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_identified_by_element1) ).
cnf(261,plain,
~ member('SKOLEMAAAV8',singleton('SKOLEMAAAV8')),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[8,94,94]),92,12,theory(equality)]) ).
cnf(268,plain,
member('SKOLEMAAAV8',unordered_pair('SKOLEMAAAV8',X)),
inference('HYPERRESOLVE',[status(thm)],[9,93,theory(equality)]) ).
cnf(1862,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[268,12,theory(equality)]),261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET083+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n023.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 : Sat Jul 9 20:12:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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 2022-07-09T20:12:55
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-09T20:12:55
% 0.70/0.88
% 0.70/0.88
% 0.70/0.88 #||
% 0.70/0.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.70/0.88 % SZS output start Refutation
% See solution above
% 0.70/0.88 ||#
% 0.70/0.88
% 0.70/0.88 ; Summary of computation:
% 0.70/0.88 ; 3825 formulas have been input or derived (from 137 formulas).
% 0.70/0.88 ; 1862 (49%) were retained. Of these,
% 0.70/0.88 ; 34 ( 2%) were simplified or subsumed later,
% 0.70/0.88 ; 1828 (98%) are still being kept.
% 0.70/0.88 ;
% 0.70/0.88 ; Run time in seconds excluding printing time:
% 0.70/0.88 ; 0.011 3% Read assertion file (1 call)
% 0.70/0.88 ; 0.003 1% Assert (44 calls)
% 0.70/0.88 ; 0.124 31% Process new row (3,522 calls)
% 0.70/0.88 ; 0.091 23% Resolution (272 calls)
% 0.70/0.88 ; 0.001 0% Paramodulation (136 calls)
% 0.70/0.88 ; 0.000 0% Factoring (6 calls)
% 0.70/0.88 ; 0.009 2% Condensing (825 calls)
% 0.70/0.88 ; 0.039 10% Forward subsumption (825 calls)
% 0.70/0.88 ; 0.021 5% Backward subsumption (760 calls)
% 0.70/0.88 ; 0.006 1% Clause clause subsumption (1,604 calls)
% 0.70/0.88 ; 0.039 10% Forward simplification (3,418 calls)
% 0.70/0.88 ; 0.012 3% Backward simplification (1,859 calls)
% 0.70/0.88 ; 0.005 1% Ordering (1,788 calls)
% 0.70/0.88 ; 0.000 0% Sortal reasoning (32 calls)
% 0.70/0.88 ; 0.000 0% Purity testing (1 call)
% 0.70/0.88 ; 0.040 10% Other
% 0.70/0.88 ; 0.401 Total
% 0.70/0.88 ; 0.403 Real time
% 0.70/0.88 ;
% 0.70/0.88 ; Term-hash-array has 3,467 terms in all.
% 0.70/0.88 ; Feature-vector-row-index has 746 entries (746 at peak, 760 added, 14 deleted).
% 0.70/0.88 ; Feature-vector-row-index has 2,986 nodes (2,986 at peak, 3,042 added, 56 deleted).
% 0.70/0.88 ; Retrieved 1,397 possibly forward subsuming rows in 825 calls.
% 0.70/0.88 ; Retrieved 725 possibly backward subsumed rows in 760 calls.
% 0.70/0.88 ; Path-index has 3,436 entries (3,436 at peak, 3,489 added, 53 deleted).
% 0.70/0.88 ; Path-index has 3,713 nodes (3,713 at peak, 3,772 added, 59 deleted).
% 0.70/0.88 ; Trie-index has 3,436 entries (3,436 at peak, 3,489 added, 53 deleted).
% 0.70/0.88 ; Trie-index has 9,668 nodes (9,668 at peak, 9,793 added, 125 deleted).
% 0.70/0.88 ; Retrieved 2,286 generalization terms in 9,127 calls.
% 0.70/0.88 ; Retrieved 1,116 instance terms in 1,098 calls.
% 0.70/0.88 ; Retrieved 120,970 unifiable terms in 3,173 calls.
% 0.70/0.88 ;
% 0.70/0.88 ; The agenda of rows to process has 149 entries:
% 0.70/0.88 ; 5 with value 9 8 with value 13 2 with value 17
% 0.70/0.88 ; 6 with value 10 24 with value 14 1 with value 18
% 0.70/0.88 ; 8 with value 11 40 with value 15 4 with value 19
% 0.70/0.88 ; 10 with value 12 37 with value 16 4 with value 20
% 0.70/0.88 ; The agenda of rows to give has 1694 entries:
% 0.70/0.88 ; 28 with value (4 8) 79 with value (4 20) 5 with value (4 32)
% 0.70/0.88 ; 41 with value (4 9) 60 with value (4 21) 4 with value (4 33)
% 0.70/0.88 ; 91 with value (4 10) 37 with value (4 22) 1 with value (4 34)
% 0.70/0.88 ; 91 with value (4 11) 24 with value (4 23) 2 with value (4 35)
% 0.70/0.88 ; 76 with value (4 12) 14 with value (4 24) 5 with value (4 38)
% 0.70/0.88 ; 137 with value (4 13) 12 with value (4 25) 10 with value (4 39)
% 0.70/0.88 ; 227 with value (4 14) 7 with value (4 26) 1 with value (4 40)
% 0.70/0.88 ; 257 with value (4 15) 4 with value (4 27) 5 with value (4 41)
% 0.70/0.88 ; 133 with value (4 16) 6 with value (4 28) 6 with value (4 42)
% 0.70/0.88 ; 90 with value (4 17) 2 with value (4 29) 2 with value (4 44)
% 0.70/0.88 ; 96 with value (4 18) 2 with value (4 30) 4 with value (4 45)
% 0.70/0.88 ; 134 with value (4 19) 1 with value (4 31)
% 0.70/0.88 Evaluation took:
% 0.70/0.88 0.403 seconds of real time
% 0.70/0.88 0.374403 seconds of user run time
% 0.70/0.88 0.0292 seconds of system run time
% 0.70/0.88 [Run times include 0.026 seconds GC run time.]
% 0.70/0.88 0 calls to %EVAL
% 0.70/0.88 0 page faults and
% 0.70/0.88 25,829,688 bytes consed.
% 0.70/0.88 :PROOF-FOUND
% 0.70/0.88 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T20:12:56
% 0.70/0.88 :PROOF-FOUND
% 0.70/0.88 *
%------------------------------------------------------------------------------