%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : TIM014_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 : Tue May 5 07:17:35 PM UTC 2026
% Result : Theorem 0.38s 0.58s
% Output : Refutation 0.38s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')
% Comments :
%------------------------------------------------------------------------------
cnf('$$LESSEQ-IS-REFLEXIVE',axiom,
$lesseq(X,X) ).
tff('SOLVE-$$GREATER-BY-$$$LESS',axiom,
! [X: 'NUMBER',Y: 'NUMBER'] :
( $greater(X,Y)
| ~ '$$$LESS'(Y,X) ) ).
tff('SOLVE-$$LESSEQ-BY-$$$LESS',axiom,
! [X: 'NUMBER',Y: 'NUMBER'] :
( $lesseq(X,Y)
| '$$$LESS'(Y,X) ) ).
tff(15,axiom,
! [X: $int] :
( valid_day(X)
| ~ $greater(X,0)
| ~ $lesseq(X,31) ),
file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',trap_ax) ).
tff(84,axiom,
! [X: $int,Y: $int,Z: $int,U: $int] :
( ~ is_days_in_month(X,Y,Z)
| ~ $greater(U,0)
| ~ $lesseq(U,Z)
| calc_date(U,X,Y,ymd(Y,X,U)) ),
file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',rule_base) ).
tff(135,axiom,
is_days_in_month(2,2024,29),
file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',hint_leap_2024_feb) ).
tff(147,negated_conjecture,
! [X: $int,Y: $int,Z: $int] :
( ~ calc_date($sum(25,4),2,2024,ymd(X,Y,Z))
| ( Y != 2 )
| ( Z != 29 )
| ~ valid_day(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_leap_ok) ).
tff(148,plain,
! [X: $int,Y: $int,Z: $int] :
( ~ calc_date(29,2,2024,ymd(X,Y,Z))
| ( Y != 2 )
| ( Z != 29 )
| ~ valid_day(Z) ),
inference('REWRITE',[status(thm)],[147,'CODE-FOR-$$SUM']) ).
tff(152,plain,
! [X: $int] :
( ~ '$$$LESS'(0,X)
| '$$$LESS'(31,X)
| valid_day(X) ),
inference('HYPERRESOLVE',[status(thm)],[15,'SOLVE-$$GREATER-BY-$$$LESS','SOLVE-$$LESSEQ-BY-$$$LESS']) ).
tff(161,plain,
calc_date(29,2,2024,ymd(2024,2,29)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[84,135,'SOLVE-$$GREATER-BY-$$$LESS','$$LESSEQ-IS-REFLEXIVE']),'CODE-FOR-$$$LESS']) ).
cnf(207,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[148,152,161,theory(equality),theory(equality)]),'CODE-FOR-$$$LESS']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TIM014_1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : run-snark %s %d
% 0.16/0.33 % Computer : n014.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 18:08:51 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.47 ((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 2026-05-04T18:08:51
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2026-05-04T18:08:51
% 0.28/0.51 WARNING:
% 0.28/0.51 |calc_datetime| is a 9-ary relation that occurs only positively; disabling rows that contain it.
% 0.28/0.51 WARNING:
% 0.28/0.51 |normalize_time| is a 7-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.58
% 0.38/0.58
% 0.38/0.58 #||
% 0.38/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.58 % SZS output start Refutation
% See solution above
% 0.38/0.58 ||#
% 0.38/0.58
% 0.38/0.58 ; Summary of computation:
% 0.38/0.58 ; 342 formulas have been input or derived (from 139 formulas).
% 0.38/0.58 ; 207 (61%) were retained. Of these,
% 0.38/0.58 ; 33 (16%) were simplified or subsumed later,
% 0.38/0.58 ; 174 (84%) are still being kept.
% 0.38/0.58 ;
% 0.38/0.58 ; Run time in seconds excluding printing time:
% 0.38/0.58 ; 0.024 21% Read assertion file (1 call)
% 0.38/0.58 ; 0.005 4% Assert (88 calls)
% 0.38/0.58 ; 0.011 10% Process new row (278 calls)
% 0.38/0.58 ; 0.020 18% Resolution (276 calls)
% 0.38/0.58 ; 0.000 0% Paramodulation (138 calls)
% 0.38/0.58 ; 0.000 0% Factoring (8 calls)
% 0.38/0.58 ; 0.003 3% Condensing (86 calls)
% 0.38/0.58 ; 0.005 4% Forward subsumption (86 calls)
% 0.38/0.58 ; 0.004 4% Backward subsumption (86 calls)
% 0.38/0.58 ; 0.001 1% Clause clause subsumption (21 calls)
% 0.38/0.58 ; 0.007 6% Forward simplification (276 calls)
% 0.38/0.58 ; 0.000 0% Backward simplification (174 calls)
% 0.38/0.58 ; 0.000 0% Ordering (88 calls)
% 0.38/0.58 ; 0.008 7% Sortal reasoning (4,795 calls)
% 0.38/0.58 ; 0.001 1% Purity testing (1 call)
% 0.38/0.58 ; 0.025 22% Other
% 0.38/0.58 ; 0.114 Total
% 0.38/0.58 ; 0.115 Real time
% 0.38/0.58 ;
% 0.38/0.58 ; Term-hash-array has 392 terms in all.
% 0.38/0.58 ; Feature-vector-row-index has 86 entries (86 at peak, 86 added, 0 deleted).
% 0.38/0.58 ; Feature-vector-row-index has 707 nodes (707 at peak, 707 added, 0 deleted).
% 0.38/0.58 ; Retrieved 17 possibly forward subsuming rows in 86 calls.
% 0.38/0.58 ; Retrieved 9 possibly backward subsumed rows in 86 calls.
% 0.38/0.58 ; Path-index has 463 entries (463 at peak, 463 added, 0 deleted).
% 0.38/0.58 ; Path-index has 672 nodes (672 at peak, 672 added, 0 deleted).
% 0.38/0.58 ; Trie-index has 463 entries (463 at peak, 463 added, 0 deleted).
% 0.38/0.58 ; Trie-index has 848 nodes (848 at peak, 848 added, 0 deleted).
% 0.38/0.58 ; Retrieved 85 generalization terms in 264 calls.
% 0.38/0.58 ; Retrieved 87 instance terms in 87 calls.
% 0.38/0.58 ; Retrieved 14,972 unifiable terms in 3,257 calls.
% 0.38/0.58 ;
% 0.38/0.58 ; The agenda of rows to process has 3 entries:
% 0.38/0.58 ; 1 with value 11 2 with value 14
% 0.38/0.58 ; The agenda of rows to give has 35 entries:
% 0.38/0.58 ; 3 with value (4 12) 19 with value (4 19) 2 with value (4 40)
% 0.38/0.58 ; 4 with value (4 16) 2 with value (4 21) 2 with value (4 49)
% 0.38/0.58 ; 1 with value (4 18) 1 with value (4 26) 1 with value (4 63)
% 0.38/0.58 Evaluation took:
% 0.38/0.58 0.116 seconds of real time
% 0.38/0.58 0.09626 seconds of user run time
% 0.38/0.58 0.019787 seconds of system run time
% 0.38/0.58 0 calls to %EVAL
% 0.38/0.58 0 page faults and
% 0.38/0.58 5,990,776 bytes consed.
% 0.38/0.58 :PROOF-FOUND
% 0.38/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2026-05-04T18:08:51
% 0.38/0.58 :PROOF-FOUND
% 0.38/0.58 *
%------------------------------------------------------------------------------