TSTP Solution File: SET900+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET900+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 05:13:13 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 2 nHn; 7 RR)
% Number of literals : 13 ( 9 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 : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,negated_conjecture,
'SKOLEMAAAW3' != singleton('SKOLEMAAAW4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_zfmisc_1) ).
cnf(6,negated_conjecture,
'SKOLEMAAAW3' != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_zfmisc_1) ).
cnf(7,negated_conjecture,
( ~ in(X,'SKOLEMAAAW3')
| X = 'SKOLEMAAAW4' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_zfmisc_1) ).
cnf(8,axiom,
( X = singleton(Y)
| X = empty_set
| in('SKOLEMAAAW5'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l45_zfmisc_1) ).
cnf(9,axiom,
( X = singleton(Y)
| X = empty_set
| 'SKOLEMAAAW5'(X,Y) != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l45_zfmisc_1) ).
cnf(10,plain,
in('SKOLEMAAAW5'('SKOLEMAAAW3','SKOLEMAAAW4'),'SKOLEMAAAW3'),
inference('UR-RESOLVE',[status(thm)],[8,5,6]) ).
cnf(12,plain,
'SKOLEMAAAW5'('SKOLEMAAAW3','SKOLEMAAAW4') != 'SKOLEMAAAW4',
inference('UR-RESOLVE',[status(thm)],[9,5,6]) ).
cnf(13,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,10]),12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET900+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 01:08:11 EDT 2022
% 0.13/0.34 % 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 2022-07-10T01:08:11
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-10T01:08:11
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox/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 ; 16 formulas have been input or derived (from 11 formulas).
% 0.19/0.50 ; 13 (81%) were retained. Of these,
% 0.19/0.50 ; 13 (100%) 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 ; 0.000 0% Assert (6 calls)
% 0.19/0.50 ; 0.001 4% Process new row (13 calls)
% 0.19/0.50 ; 0.000 0% Resolution (20 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (10 calls)
% 0.19/0.50 ; 0.000 0% Factoring (1 call)
% 0.19/0.50 ; 0.001 4% Condensing (5 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (5 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (5 calls)
% 0.19/0.50 ; 0.000 0% Forward simplification (13 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (13 calls)
% 0.19/0.50 ; 0.000 0% Ordering (11 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 ; 0.024 86% Other
% 0.19/0.50 ; 0.028 Total
% 0.19/0.50 ; 0.029 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 23 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 22 nodes (22 at peak, 22 added, 0 deleted).
% 0.19/0.50 ; Retrieved 0 possibly forward subsuming rows in 5 calls.
% 0.19/0.50 ; Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.19/0.50 ; Path-index has 28 entries (28 at peak, 28 added, 0 deleted).
% 0.19/0.50 ; Path-index has 48 nodes (48 at peak, 48 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 28 entries (28 at peak, 28 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 50 nodes (50 at peak, 50 added, 0 deleted).
% 0.19/0.50 ; Retrieved 2 generalization terms in 14 calls.
% 0.19/0.50 ; Retrieved 7 instance terms in 7 calls.
% 0.19/0.50 ; Retrieved 78 unifiable terms in 59 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 2 entries:
% 0.19/0.50 ; 2 with value 9
% 0.19/0.50 ; The agenda of rows to give has 2 entries:
% 0.19/0.50 ; 1 with value (4 8) 1 with value (4 14)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.029 seconds of real time
% 0.19/0.50 0.023229 seconds of user run time
% 0.19/0.50 0.005876 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 1,723,392 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T01:08:11
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------