%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 : 300s
% DateTime : Sun Apr 6 10:09:21 AM UTC 2025
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of formulae : 5 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 14 ( 14 fml; 0 var)
% Number arithmetic : 12 ( 4 atm; 0 fun; 4 num; 4 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 6 usr; 3 prp; 0-4 aty)
% Number of functors : 1 ( 0 usr; 1 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(60,axiom,
! [X: $int,Y: $int] :
( ~ $greatereq(X,0)
| ~ $greater(Y,0)
| div(f__integer__(X),f__integer__(Y),f__integer__('SKOLEMAAAV17.$int'(X,Y)),f__integer__('SKOLEMAAAV18.$int'(X,Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_3_unnamed_formula) ).
tff(61,negated_conjecture,
$greatereq('SKOLEMAAAV19.$int',0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4_unnamed_formula) ).
tff(62,negated_conjecture,
$greater('SKOLEMAAAV20.$int',0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4_unnamed_formula) ).
tff(63,negated_conjecture,
! [X: $int,Y: $int] : ~ div(f__integer__('SKOLEMAAAV19.$int'),f__integer__('SKOLEMAAAV20.$int'),f__integer__(X),f__integer__(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4_unnamed_formula) ).
cnf(85,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[60,61,62,63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Apr 6 02:56:16 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2025-04-06T02:56:16
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2025-04-06T02:56:16
% 0.19/0.48 WARNING: In quantification, variable ?J_i is being rebound.
% 0.19/0.48 WARNING: In quantification, variable ?J_i is being rebound.
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 152 formulas have been input or derived (from 58 formulas).
% 0.19/0.51 ; 85 (56%) were retained. Of these,
% 0.19/0.51 ; 2 ( 2%) were simplified or subsumed later,
% 0.19/0.51 ; 83 (98%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.009 16% Read assertion file (1 call)
% 0.19/0.51 ; 0.004 7% Assert (20 calls)
% 0.19/0.51 ; 0.004 7% Process new row (119 calls)
% 0.19/0.51 ; 0.004 7% Resolution (114 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (57 calls)
% 0.19/0.51 ; 0.000 0% Factoring (6 calls)
% 0.19/0.51 ; 0.006 11% Condensing (68 calls)
% 0.19/0.51 ; 0.001 2% Forward subsumption (68 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (58 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (19 calls)
% 0.19/0.51 ; 0.003 5% Forward simplification (119 calls)
% 0.19/0.51 ; 0.001 2% Backward simplification (83 calls)
% 0.19/0.51 ; 0.000 0% Ordering (85 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (162 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.023 42% Other
% 0.19/0.51 ; 0.055 Total
% 0.19/0.51 ; 0.056 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 151 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 58 entries (58 at peak, 58 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 178 nodes (178 at peak, 178 added, 0 deleted).
% 0.19/0.51 ; Retrieved 35 possibly forward subsuming rows in 68 calls.
% 0.19/0.51 ; Retrieved 1 possibly backward subsumed row in 58 calls.
% 0.19/0.51 ; Path-index has 158 entries (158 at peak, 158 added, 0 deleted).
% 0.19/0.51 ; Path-index has 599 nodes (599 at peak, 599 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 158 entries (158 at peak, 158 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 395 nodes (395 at peak, 395 added, 0 deleted).
% 0.19/0.51 ; Retrieved 65 generalization terms in 83 calls.
% 0.19/0.51 ; Retrieved 39 instance terms in 24 calls.
% 0.19/0.51 ; Retrieved 1,584 unifiable terms in 229 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 10 entries:
% 0.19/0.51 ; 2 with value 5 3 with value 21 1 with value 25
% 0.19/0.51 ; 4 with value 17
% 0.19/0.51 ; The agenda of input rows to give has 5 entries:
% 0.19/0.51 ; 1 with value 26 1 with value 30 1 with value 90
% 0.19/0.51 ; 1 with value 28 1 with value 34
% 0.19/0.51 ; The agenda of rows to give has 20 entries:
% 0.19/0.51 ; 5 with value (4 5) 2 with value (4 8) 3 with value (4 13)
% 0.19/0.51 ; 2 with value (4 6) 1 with value (4 9) 1 with value (4 20)
% 0.19/0.51 ; 4 with value (4 7) 2 with value (4 12)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.056 seconds of real time
% 0.19/0.51 0.047437 seconds of user run time
% 0.19/0.51 0.009439 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 2,967,936 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2025-04-06T02:56:16
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------