TSTP Solution File: SEV421_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEV421_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 18:10:23 EDT 2022
% Result : Theorem 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 14 equ)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 10 ( 5 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 21 ( 21 fml; 0 var)
% Number arithmetic : 7 ( 0 atm; 0 fun; 7 num; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 1 ( 0 usr; 1 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
tff(19,axiom,
! [X: set] :
( ( cardinality(X) != 0 )
| ( X = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinality_empty_set) ).
tff(20,axiom,
! [X: set] :
( ( cardinality(X) = 0 )
| ( X != empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinality_empty_set) ).
tff(30,negated_conjecture,
'SKOLEMAAAV5.$int' = cardinality('SKOLEMAAAV4.set'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',vc1) ).
tff(31,negated_conjecture,
( ( 'SKOLEMAAAV5.$int' != 0 )
| ( 'SKOLEMAAAV4.set' != empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',vc1) ).
tff(32,negated_conjecture,
( ( 'SKOLEMAAAV5.$int' = 0 )
| ( 'SKOLEMAAAV4.set' = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',vc1) ).
tff(38,plain,
( ( 'SKOLEMAAAV5.$int' != 0 )
| ( 'SKOLEMAAAV4.set' = empty_set ) ),
inference('PARAMODULATE',[status(thm)],[19,30,theory(equality)]) ).
tff(39,plain,
cardinality(empty_set) = 0,
inference('HYPERRESOLVE',[status(thm)],[20,theory(equality)]) ).
tff(212,plain,
'SKOLEMAAAV4.set' = empty_set,
inference('HYPERRESOLVE',[status(thm)],[38,32]) ).
tff(213,plain,
'SKOLEMAAAV5.$int' = 0,
inference('REWRITE',[status(thm)],[30,39,212,theory(equality)]) ).
cnf(214,plain,
$false,
inference('REWRITE',[status(thm)],[31,213,212,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV421_1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n028.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 : Tue Jun 28 10:24:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-28T10:24:57
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-28T10:24:57
% 0.18/0.54
% 0.18/0.54
% 0.18/0.54 #||
% 0.18/0.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.54 % SZS output start Refutation
% See solution above
% 0.18/0.54 ||#
% 0.18/0.54
% 0.18/0.54 ; Summary of computation:
% 0.18/0.54 ; 415 formulas have been input or derived (from 48 formulas).
% 0.18/0.54 ; 214 (52%) were retained. Of these,
% 0.18/0.54 ; 120 (56%) were simplified or subsumed later,
% 0.18/0.54 ; 94 (44%) are still being kept.
% 0.18/0.54 ;
% 0.18/0.54 ; Run time in seconds excluding printing time:
% 0.18/0.54 ; 0.005 7% Read assertion file (1 call)
% 0.18/0.54 ; 0.002 3% Assert (13 calls)
% 0.18/0.54 ; 0.016 22% Process new row (275 calls)
% 0.18/0.54 ; 0.012 17% Resolution (94 calls)
% 0.18/0.54 ; 0.002 3% Paramodulation (47 calls)
% 0.18/0.54 ; 0.000 0% Factoring (4 calls)
% 0.18/0.54 ; 0.002 3% Condensing (77 calls)
% 0.18/0.54 ; 0.000 0% Forward subsumption (77 calls)
% 0.18/0.54 ; 0.001 1% Backward subsumption (72 calls)
% 0.18/0.54 ; 0.000 0% Clause clause subsumption (62 calls)
% 0.18/0.54 ; 0.002 3% Forward simplification (275 calls)
% 0.18/0.54 ; 0.008 11% Backward simplification (212 calls)
% 0.18/0.54 ; 0.000 0% Ordering (164 calls)
% 0.18/0.54 ; 0.000 0% Sortal reasoning (114 calls)
% 0.18/0.54 ; 0.000 0% Purity testing (1 call)
% 0.18/0.54 ; 0.022 31% Other
% 0.18/0.54 ; 0.072 Total
% 0.18/0.54 ; 0.075 Real time
% 0.18/0.54 ;
% 0.18/0.54 ; Term-hash-array has 403 terms in all.
% 0.18/0.54 ; Feature-vector-row-index has 60 entries (71 at peak, 72 added, 12 deleted).
% 0.18/0.54 ; Feature-vector-row-index has 221 nodes (302 at peak, 308 added, 87 deleted).
% 0.18/0.54 ; Retrieved 48 possibly forward subsuming rows in 77 calls.
% 0.18/0.54 ; Retrieved 15 possibly backward subsumed rows in 72 calls.
% 0.18/0.54 ; Path-index has 186 entries (409 at peak, 415 added, 229 deleted).
% 0.18/0.54 ; Path-index has 437 nodes (620 at peak, 626 added, 189 deleted).
% 0.18/0.54 ; Trie-index has 186 entries (409 at peak, 415 added, 229 deleted).
% 0.18/0.54 ; Trie-index has 379 nodes (913 at peak, 924 added, 545 deleted).
% 0.18/0.54 ; Retrieved 56 generalization terms in 330 calls.
% 0.18/0.54 ; Retrieved 140 instance terms in 139 calls.
% 0.18/0.54 ; Retrieved 3,590 unifiable terms in 394 calls.
% 0.18/0.54 ;
% 0.18/0.54 ; The agenda of backward simplifiable rows to process has 101 entries:
% 0.18/0.54 ; 101 with value 0
% 0.18/0.54 ; The agenda of rows to process has 1 entry:
% 0.18/0.54 ; 1 with value 10
% 0.18/0.54 ; The agenda of input rows to give has 1 entry:
% 0.18/0.54 ; 1 with value 4
% 0.18/0.54 ; The agenda of rows to give has 59 entries:
% 0.18/0.54 ; 1 with value (4 6) 2 with value (4 14) 6 with value (4 19)
% 0.18/0.54 ; 8 with value (4 9) 1 with value (4 15) 3 with value (4 21)
% 0.18/0.54 ; 1 with value (4 10) 5 with value (4 16) 1 with value (4 22)
% 0.18/0.54 ; 6 with value (4 11) 7 with value (4 17) 1 with value (4 23)
% 0.18/0.54 ; 5 with value (4 12) 4 with value (4 18) 1 with value (4 26)
% 0.18/0.54 ; 7 with value (4 13)
% 0.18/0.54 Evaluation took:
% 0.18/0.54 0.075 seconds of real time
% 0.18/0.54 0.069171 seconds of user run time
% 0.18/0.54 0.00579 seconds of system run time
% 0.18/0.54 0 calls to %EVAL
% 0.18/0.54 0 page faults and
% 0.18/0.54 3,918,712 bytes consed.
% 0.18/0.54 :PROOF-FOUND
% 0.18/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-28T10:24:57
% 0.18/0.54 :PROOF-FOUND
% 0.18/0.54 *
%------------------------------------------------------------------------------