TSTP Solution File: SET903+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET903+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 05:13:15 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 7 unt; 1 nHn; 9 RR)
% Number of literals : 12 ( 11 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( singleton(X) != set_union2(Y,Z)
| Y = singleton(X)
| Y = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_zfmisc_1) ).
cnf(8,negated_conjecture,
singleton('SKOLEMAAAU3') = set_union2('SKOLEMAAAU4','SKOLEMAAAU5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_zfmisc_1) ).
cnf(9,negated_conjecture,
'SKOLEMAAAU4' != 'SKOLEMAAAU5',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_zfmisc_1) ).
cnf(10,negated_conjecture,
'SKOLEMAAAU4' != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_zfmisc_1) ).
cnf(11,negated_conjecture,
'SKOLEMAAAU5' != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_zfmisc_1) ).
cnf(15,plain,
'SKOLEMAAAU4' = singleton('SKOLEMAAAU3'),
inference('UR-RESOLVE',[status(thm)],[6,8,10]) ).
cnf(16,plain,
'SKOLEMAAAU4' = set_union2('SKOLEMAAAU4','SKOLEMAAAU5'),
inference('REWRITE',[status(thm)],[8,15,theory(equality)]) ).
cnf(18,plain,
( singleton(X) != 'SKOLEMAAAU4'
| 'SKOLEMAAAU5' = singleton(X) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6,16,theory(equality)]),11]) ).
cnf(23,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[18,15]),9,15,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET903+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n011.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 17:36:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-09T17:36:56
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-09T17:36:56
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.50 ; Declaring set_union2 to be commutative.
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 53 formulas have been input or derived (from 18 formulas).
% 0.19/0.50 ; 23 (43%) were retained. Of these,
% 0.19/0.50 ; 3 (13%) were simplified or subsumed later,
% 0.19/0.50 ; 20 (87%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.002 7% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 3% Assert (9 calls)
% 0.19/0.50 ; 0.001 3% Process new row (48 calls)
% 0.19/0.50 ; 0.000 0% Resolution (34 calls)
% 0.19/0.50 ; 0.003 10% Paramodulation (17 calls)
% 0.19/0.50 ; 0.001 3% Condensing (12 calls)
% 0.19/0.50 ; 0.001 3% Forward subsumption (12 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (9 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (3 calls)
% 0.19/0.50 ; 0.001 3% Forward simplification (43 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (23 calls)
% 0.19/0.50 ; 0.000 0% Ordering (37 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.020 67% Other
% 0.19/0.50 ; 0.030 Total
% 0.19/0.50 ; 0.031 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 37 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 7 entries (7 at peak, 9 added, 2 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 34 nodes (34 at peak, 44 added, 10 deleted).
% 0.19/0.50 ; Retrieved 3 possibly forward subsuming rows in 12 calls.
% 0.19/0.50 ; Retrieved 0 possibly backward subsumed rows in 9 calls.
% 0.19/0.50 ; Path-index has 41 entries (41 at peak, 46 added, 5 deleted).
% 0.19/0.50 ; Path-index has 50 nodes (50 at peak, 57 added, 7 deleted).
% 0.19/0.50 ; Trie-index has 41 entries (41 at peak, 46 added, 5 deleted).
% 0.19/0.50 ; Trie-index has 77 nodes (77 at peak, 87 added, 10 deleted).
% 0.19/0.50 ; Retrieved 21 generalization terms in 55 calls.
% 0.19/0.50 ; Retrieved 14 instance terms in 13 calls.
% 0.19/0.50 ; Retrieved 137 unifiable terms in 94 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 1 entry:
% 0.19/0.50 ; 1 with value 10
% 0.19/0.50 ; The agenda of rows to give has 3 entries:
% 0.19/0.50 ; 1 with value (4 15) 2 with value (4 17)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.032 seconds of real time
% 0.19/0.50 0.022916 seconds of user run time
% 0.19/0.50 0.009028 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 1,928,088 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T17:36:56
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------