%------------------------------------------------------------------------------
% 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 : n008.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 0.36s 0.53s
% Output : Refutation 0.36s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named theoryory(equal))
% Comments :
%------------------------------------------------------------------------------
tff(55,axiom,
! [X: general] :
( ~ in_cover(X)
| ( 'SKOLEMAAAU13.$int'(X) = 1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_cover_1) ).
tff(56,axiom,
! [X: general] :
( ~ in_cover(X)
| ( 'SKOLEMAAAU14.$int'(X) = n_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_cover_1) ).
tff(57,axiom,
! [X: general] :
( ~ in_cover(X)
| ( X = f__integer__('SKOLEMAAAU15.$int'(X)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_cover_1) ).
tff(58,axiom,
! [X: general] :
( ~ in_cover(X)
| $lesseq('SKOLEMAAAU13.$int'(X),'SKOLEMAAAU15.$int'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_cover_1) ).
tff(59,axiom,
! [X: general] :
( ~ in_cover(X)
| $lesseq('SKOLEMAAAU15.$int'(X),'SKOLEMAAAU14.$int'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_cover_1) ).
tff(62,negated_conjecture,
! [X: $int,Y: $int,Z: $int] :
( ~ in_cover('SKOLEMAAAU16.general')
| ( X != 1 )
| ( Y != n_i )
| ( 'SKOLEMAAAU16.general' != f__integer__(Z) )
| ~ $lesseq(X,Z)
| ~ $lesseq(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_8_completed_definition_of_in_cover_1) ).
tff(63,negated_conjecture,
in_cover('SKOLEMAAAU16.general'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_8_completed_definition_of_in_cover_1) ).
tff(64,plain,
! [X: $int,Y: $int,Z: $int] :
( ( X != 1 )
| ( Y != n_i )
| ( 'SKOLEMAAAU16.general' != f__integer__(Z) )
| ~ $lesseq(X,Z)
| ~ $lesseq(Z,Y) ),
inference('REWRITE',[status(thm)],[62,63]) ).
tff(79,plain,
'SKOLEMAAAU13.$int'('SKOLEMAAAU16.general') = 1,
inference('HYPERRESOLVE',[status(thm)],[55,63]) ).
tff(80,plain,
'SKOLEMAAAU14.$int'('SKOLEMAAAU16.general') = n_i,
inference('HYPERRESOLVE',[status(thm)],[56,63]) ).
tff(81,plain,
$lesseq(1,'SKOLEMAAAU15.$int'('SKOLEMAAAU16.general')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[58,63]),79,theory(equality)]) ).
tff(82,plain,
$lesseq('SKOLEMAAAU15.$int'('SKOLEMAAAU16.general'),n_i),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[59,63]),80,theory(equality)]) ).
tff(85,plain,
'SKOLEMAAAU16.general' = f__integer__('SKOLEMAAAU15.$int'('SKOLEMAAAU16.general')),
inference('HYPERRESOLVE',[status(thm)],[57,63]) ).
cnf(106,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[64,82,81,theory(equality),theory(equality)]),85,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n008.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 02:51:03 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2025-04-06T02:51:03
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2025-04-06T02:51:03
% 0.36/0.53
% 0.36/0.53
% 0.36/0.53 #||
% 0.36/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.53 % SZS output start Refutation
% See solution above
% 0.36/0.53 ||#
% 0.36/0.53
% 0.36/0.53 ; Summary of computation:
% 0.36/0.53 ; 223 formulas have been input or derived (from 80 formulas).
% 0.36/0.53 ; 106 (48%) were retained. Of these,
% 0.36/0.53 ; 3 ( 3%) were simplified or subsumed later,
% 0.36/0.53 ; 103 (97%) are still being kept.
% 0.36/0.53 ;
% 0.36/0.53 ; Run time in seconds excluding printing time:
% 0.36/0.53 ; 0.011 16% Read assertion file (1 call)
% 0.36/0.53 ; 0.004 6% Assert (24 calls)
% 0.36/0.53 ; 0.007 10% Process new row (174 calls)
% 0.36/0.53 ; 0.010 14% Resolution (158 calls)
% 0.36/0.53 ; 0.000 0% Paramodulation (79 calls)
% 0.36/0.53 ; 0.000 0% Factoring (6 calls)
% 0.36/0.53 ; 0.008 11% Condensing (78 calls)
% 0.36/0.53 ; 0.001 1% Forward subsumption (78 calls)
% 0.36/0.53 ; 0.000 0% Backward subsumption (64 calls)
% 0.36/0.53 ; 0.001 1% Clause clause subsumption (22 calls)
% 0.36/0.53 ; 0.003 4% Forward simplification (174 calls)
% 0.36/0.53 ; 0.000 0% Backward simplification (106 calls)
% 0.36/0.53 ; 0.000 0% Ordering (143 calls)
% 0.36/0.53 ; 0.000 0% Sortal reasoning (333 calls)
% 0.36/0.53 ; 0.000 0% Purity testing (1 call)
% 0.36/0.53 ; 0.025 36% Other
% 0.36/0.53 ; 0.070 Total
% 0.36/0.53 ; 0.073 Real time
% 0.36/0.53 ;
% 0.36/0.53 ; Term-hash-array has 153 terms in all.
% 0.36/0.53 ; Feature-vector-row-index has 61 entries (61 at peak, 64 added, 3 deleted).
% 0.36/0.53 ; Feature-vector-row-index has 139 nodes (139 at peak, 155 added, 16 deleted).
% 0.36/0.53 ; Retrieved 34 possibly forward subsuming rows in 78 calls.
% 0.36/0.53 ; Retrieved 2 possibly backward subsumed rows in 64 calls.
% 0.36/0.53 ; Path-index has 157 entries (157 at peak, 166 added, 9 deleted).
% 0.36/0.53 ; Path-index has 245 nodes (245 at peak, 247 added, 2 deleted).
% 0.36/0.53 ; Trie-index has 157 entries (157 at peak, 166 added, 9 deleted).
% 0.36/0.53 ; Trie-index has 267 nodes (267 at peak, 273 added, 6 deleted).
% 0.36/0.53 ; Retrieved 126 generalization terms in 183 calls.
% 0.36/0.53 ; Retrieved 53 instance terms in 41 calls.
% 0.36/0.53 ; Retrieved 4,968 unifiable terms in 669 calls.
% 0.36/0.53 ;
% 0.36/0.53 ; The agenda of rows to process has 1 entry:
% 0.36/0.53 ; 1 with value 11
% 0.36/0.53 ; The agenda of rows to give has 23 entries:
% 0.36/0.53 ; 11 with value (4 8) 4 with value (4 12) 1 with value (4 20)
% 0.36/0.53 ; 2 with value (4 9) 5 with value (4 13)
% 0.36/0.53 Evaluation took:
% 0.36/0.53 0.073 seconds of real time
% 0.36/0.53 0.065043 seconds of user run time
% 0.36/0.53 0.007918 seconds of system run time
% 0.36/0.53 0 calls to %EVAL
% 0.36/0.53 0 page faults and
% 0.36/0.53 4,192,208 bytes consed.
% 0.36/0.53 :PROOF-FOUND
% 0.36/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2025-04-06T02:51:03
% 0.36/0.53 :PROOF-FOUND
% 0.36/0.53 *
%------------------------------------------------------------------------------