TSTP Solution File: NUM531+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM531+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 : Mon Jul 18 14:11:25 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 10 ( 1 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 1 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
cnf(5,axiom,
( ~ aSet0(X)
| ~ isCountable0(X)
| ~ isFinite0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
cnf(6,negated_conjecture,
aSet0('SKOLEMAAAO2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(7,negated_conjecture,
isCountable0('SKOLEMAAAO2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(9,negated_conjecture,
'SKOLEMAAAO2' = slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(10,plain,
aSet0(slcrc0),
inference('REWRITE',[status(thm)],[6,9,theory(equality)]) ).
cnf(11,plain,
isCountable0(slcrc0),
inference('REWRITE',[status(thm)],[7,9,theory(equality)]) ).
cnf(13,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[5,10,11,4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM531+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jul 7 04:14:45 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T04:14:45
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-07T04:14:45
% 0.19/0.47 WARNING:
% 0.19/0.47 |aElement0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 #||
% 0.19/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 % SZS output start Refutation
% See solution above
% 0.19/0.48 ||#
% 0.19/0.48
% 0.19/0.48 ; Summary of computation:
% 0.19/0.48 ; 25 formulas have been input or derived (from 9 formulas).
% 0.19/0.48 ; 13 (52%) were retained. Of these,
% 0.19/0.48 ; 3 (23%) were simplified or subsumed later,
% 0.19/0.48 ; 10 (77%) are still being kept.
% 0.19/0.48 ;
% 0.19/0.48 ; Run time in seconds excluding printing time:
% 0.19/0.48 ; 0.002 12% Read assertion file (1 call)
% 0.19/0.48 ; 0.000 0% Assert (9 calls)
% 0.19/0.48 ; 0.001 6% Process new row (21 calls)
% 0.19/0.48 ; 0.001 6% Resolution (16 calls)
% 0.19/0.48 ; 0.000 0% Paramodulation (8 calls)
% 0.19/0.48 ; 0.000 0% Condensing (4 calls)
% 0.19/0.48 ; 0.000 0% Forward subsumption (4 calls)
% 0.19/0.48 ; 0.000 0% Backward subsumption (4 calls)
% 0.19/0.48 ; 0.000 0% Forward simplification (20 calls)
% 0.19/0.48 ; 0.000 0% Backward simplification (13 calls)
% 0.19/0.48 ; 0.000 0% Ordering (5 calls)
% 0.19/0.48 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.48 ; 0.000 0% Purity testing (1 call)
% 0.19/0.48 ; 0.012 75% Other
% 0.19/0.48 ; 0.016 Total
% 0.19/0.48 ; 0.017 Real time
% 0.19/0.48 ;
% 0.19/0.48 ; Term-hash-array has 15 terms in all.
% 0.19/0.48 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.19/0.48 ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.19/0.48 ; Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.19/0.48 ; Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.19/0.48 ; Path-index has 14 entries (14 at peak, 17 added, 3 deleted).
% 0.19/0.48 ; Path-index has 26 nodes (26 at peak, 29 added, 3 deleted).
% 0.19/0.48 ; Trie-index has 14 entries (14 at peak, 17 added, 3 deleted).
% 0.19/0.48 ; Trie-index has 26 nodes (26 at peak, 29 added, 3 deleted).
% 0.19/0.48 ; Retrieved 6 generalization terms in 12 calls.
% 0.19/0.48 ; Retrieved 8 instance terms in 8 calls.
% 0.19/0.48 ; Retrieved 43 unifiable terms in 43 calls.
% 0.19/0.48 ;
% 0.19/0.48 ; The agenda of rows to process has 3 entries:
% 0.19/0.48 ; 3 with value 4
% 0.19/0.48 ; The agenda of input rows to give has 1 entry:
% 0.19/0.48 ; 1 with value 13
% 0.19/0.48 Evaluation took:
% 0.19/0.48 0.018 seconds of real time
% 0.19/0.48 0.016517 seconds of user run time
% 0.19/0.48 0.001133 seconds of system run time
% 0.19/0.48 0 calls to %EVAL
% 0.19/0.48 0 page faults and
% 0.19/0.48 1,572,032 bytes consed.
% 0.19/0.48 :PROOF-FOUND
% 0.19/0.48 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T04:14:45
% 0.19/0.48 :PROOF-FOUND
% 0.19/0.48 *
%------------------------------------------------------------------------------