%------------------------------------------------------------------------------
% 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 : n027.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 0.40s 0.58s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 16 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 54 ( 7 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 29 ( 29 fml; 0 var)
% Number arithmetic : 14 ( 8 atm; 0 fun; 5 num; 1 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 1 ( 0 usr; 1 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff('SOLVE-$$GREATEREQ-BY-$$$LESS',axiom,
! [X: 'NUMBER',Y: 'NUMBER'] :
( $greatereq(X,Y)
| '$$$LESS'(X,Y) ) ).
tff('SOLVE-~$$LESSEQ-BY-$$$LESS',axiom,
! [X: 'NUMBER',Y: 'NUMBER'] :
( ~ $lesseq(X,Y)
| ~ '$$$LESS'(Y,X) ) ).
tff(51,axiom,
! [X: general] :
( ~ in_cover(X)
| ( 'SKOLEMAAAQ9.$int'(X) = 1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_cover_1) ).
tff(52,axiom,
! [X: general] :
( ~ in_cover(X)
| ( 'SKOLEMAAAQ10.$int'(X) = n_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_cover_1) ).
tff(53,axiom,
! [X: general] :
( ~ in_cover(X)
| ( X = f__integer__('SKOLEMAAAQ11.$int'(X)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_cover_1) ).
tff(54,axiom,
! [X: general] :
( ~ in_cover(X)
| $lesseq('SKOLEMAAAQ9.$int'(X),'SKOLEMAAAQ11.$int'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_cover_1) ).
tff(55,axiom,
! [X: general] :
( ~ in_cover(X)
| $lesseq('SKOLEMAAAQ11.$int'(X),'SKOLEMAAAQ10.$int'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_cover_1) ).
tff(56,negated_conjecture,
in_cover('SKOLEMAAAQ12.general'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6_unnamed_formula) ).
tff(57,negated_conjecture,
! [X: $int] :
( ( 'SKOLEMAAAQ12.general' != f__integer__(X) )
| ~ $greatereq(X,1)
| ~ $lesseq(X,n_i) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6_unnamed_formula) ).
tff(72,plain,
'SKOLEMAAAQ9.$int'('SKOLEMAAAQ12.general') = 1,
inference('HYPERRESOLVE',[status(thm)],[51,56]) ).
tff(73,plain,
'SKOLEMAAAQ10.$int'('SKOLEMAAAQ12.general') = n_i,
inference('HYPERRESOLVE',[status(thm)],[52,56]) ).
tff(74,plain,
$lesseq(1,'SKOLEMAAAQ11.$int'('SKOLEMAAAQ12.general')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[54,56]),72,theory(equality)]) ).
tff(75,plain,
$lesseq('SKOLEMAAAQ11.$int'('SKOLEMAAAQ12.general'),n_i),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[55,56]),73,theory(equality)]) ).
tff(78,plain,
'SKOLEMAAAQ12.general' = f__integer__('SKOLEMAAAQ11.$int'('SKOLEMAAAQ12.general')),
inference('HYPERRESOLVE',[status(thm)],[53,56]) ).
tff(97,plain,
~ '$$$LESS'('SKOLEMAAAQ11.$int'('SKOLEMAAAQ12.general'),1),
inference('HYPERRESOLVE',[status(thm)],['SOLVE-~$$LESSEQ-BY-$$$LESS',74]) ).
cnf(191,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[57,78,'SOLVE-$$GREATEREQ-BY-$$$LESS',75]),97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n027.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 : 300
% 0.13/0.34 % DateTime : Sun Apr 6 02:51:06 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.18/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 *
% 0.18/0.47 *
% 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 2025-04-06T02:51:06
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2025-04-06T02:51:06
% 0.40/0.58
% 0.40/0.58
% 0.40/0.58 #||
% 0.40/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.58 % SZS output start Refutation
% See solution above
% 0.40/0.58 ||#
% 0.40/0.58
% 0.40/0.58 ; Summary of computation:
% 0.40/0.58 ; 538 formulas have been input or derived (from 110 formulas).
% 0.40/0.58 ; 191 (36%) were retained. Of these,
% 0.40/0.58 ; 3 ( 2%) were simplified or subsumed later,
% 0.40/0.58 ; 188 (98%) are still being kept.
% 0.40/0.58 ;
% 0.40/0.58 ; Run time in seconds excluding printing time:
% 0.40/0.58 ; 0.006 6% Read assertion file (1 call)
% 0.40/0.58 ; 0.002 2% Assert (22 calls)
% 0.40/0.58 ; 0.005 5% Process new row (430 calls)
% 0.40/0.58 ; 0.053 51% Resolution (218 calls)
% 0.40/0.58 ; 0.002 2% Paramodulation (109 calls)
% 0.40/0.58 ; 0.000 0% Factoring (7 calls)
% 0.40/0.58 ; 0.003 3% Condensing (150 calls)
% 0.40/0.58 ; 0.001 1% Forward subsumption (150 calls)
% 0.40/0.58 ; 0.002 2% Backward subsumption (105 calls)
% 0.40/0.58 ; 0.001 1% Clause clause subsumption (102 calls)
% 0.40/0.58 ; 0.005 5% Forward simplification (430 calls)
% 0.40/0.58 ; 0.000 0% Backward simplification (191 calls)
% 0.40/0.58 ; 0.000 0% Ordering (354 calls)
% 0.40/0.58 ; 0.005 5% Sortal reasoning (2,270 calls)
% 0.40/0.58 ; 0.000 0% Purity testing (1 call)
% 0.40/0.58 ; 0.019 18% Other
% 0.40/0.58 ; 0.104 Total
% 0.40/0.58 ; 0.105 Real time
% 0.40/0.58 ;
% 0.40/0.58 ; Term-hash-array has 232 terms in all.
% 0.40/0.58 ; Feature-vector-row-index has 102 entries (104 at peak, 105 added, 3 deleted).
% 0.40/0.58 ; Feature-vector-row-index has 236 nodes (240 at peak, 244 added, 8 deleted).
% 0.40/0.58 ; Retrieved 136 possibly forward subsuming rows in 150 calls.
% 0.40/0.58 ; Retrieved 11 possibly backward subsumed rows in 105 calls.
% 0.40/0.58 ; Path-index has 236 entries (236 at peak, 240 added, 4 deleted).
% 0.40/0.58 ; Path-index has 270 nodes (270 at peak, 270 added, 0 deleted).
% 0.40/0.58 ; Trie-index has 236 entries (236 at peak, 240 added, 4 deleted).
% 0.40/0.58 ; Trie-index has 368 nodes (368 at peak, 370 added, 2 deleted).
% 0.40/0.58 ; Retrieved 463 generalization terms in 688 calls.
% 0.40/0.58 ; Retrieved 96 instance terms in 85 calls.
% 0.40/0.58 ; Retrieved 60,196 unifiable terms in 9,427 calls.
% 0.40/0.58 ;
% 0.40/0.58 ; The agenda of rows to process has 15 entries:
% 0.40/0.58 ; 4 with value 8 4 with value 10 1 with value 18
% 0.40/0.58 ; 1 with value 9 5 with value 14
% 0.40/0.58 ; The agenda of rows to give has 78 entries:
% 0.40/0.58 ; 1 with value (4 5) 2 with value (4 10) 7 with value (4 14)
% 0.40/0.58 ; 2 with value (4 6) 21 with value (4 12) 8 with value (4 15)
% 0.40/0.58 ; 2 with value (4 8) 18 with value (4 13) 1 with value (4 20)
% 0.40/0.58 ; 16 with value (4 9)
% 0.40/0.58 Evaluation took:
% 0.40/0.58 0.105 seconds of real time
% 0.40/0.58 0.091809 seconds of user run time
% 0.40/0.58 0.013827 seconds of system run time
% 0.40/0.58 0 calls to %EVAL
% 0.40/0.58 0 page faults and
% 0.40/0.58 7,668,376 bytes consed.
% 0.40/0.58 :PROOF-FOUND
% 0.40/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2025-04-06T02:51:06
% 0.40/0.58 :PROOF-FOUND
% 0.40/0.58 *
%------------------------------------------------------------------------------