%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 : Sun Jul 17 00:35:15 EDT 2022
% Result : Theorem 6.34s 6.60s
% Output : Refutation 6.44s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')
% Comments :
%------------------------------------------------------------------------------
tff(56,negated_conjecture,
~ $lesseq('fun_app$d'('of_nat$','fun_app$e'('tick_count$'('r$','c_2$'),'fun_app$c'('nat$',$sum('fun_app$d'('of_nat$','n$'),1)))),'fun_app$d'('of_nat$','fun_app$e'('tick_count$'('r$','c_1$'),'n$'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture14) ).
tff(57,plain,
~ $lesseq('fun_app$d'('of_nat$','fun_app$e'('tick_count$'('r$','c_2$'),'fun_app$c'('nat$',$sum(1,'fun_app$d'('of_nat$','n$'))))),'fun_app$d'('of_nat$','fun_app$e'('tick_count$'('r$','c_1$'),'n$'))),
inference('REWRITE',[status(thm)],[56,'CODE-FOR-$$SUM']) ).
tff(60,axiom,
$lesseq('fun_app$d'('of_nat$','fun_app$e'('tick_count$'('sub$','c_2$'),'sn_0$')),'fun_app$d'('of_nat$','fun_app$e'('tick_count$'('sub$','c_1$'),'n_0$'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom16) ).
tff(62,axiom,
'fun_app$d'('of_nat$','fun_app$e'('f$','n_0$')) = 'fun_app$d'('of_nat$','n$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom18) ).
tff(65,axiom,
'fun_app$d'('of_nat$','fun_app$e'('f$','sn_0$')) = $sum('fun_app$d'('of_nat$','n$'),1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom20) ).
tff(66,plain,
'fun_app$d'('of_nat$','fun_app$e'('f$','sn_0$')) = $sum(1,'fun_app$d'('of_nat$','n$')),
inference('REWRITE',[status(thm)],[65,'CODE-FOR-$$SUM']) ).
tff(92,axiom,
'fun_app$'('dilating$'('f$','sub$'),'r$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom36) ).
tff(344,axiom,
! [X: 'Nat_nat_fun$',Y: 'A_run$',Z: 'A_run$',U: 'Clock$',V: 'Nat$'] :
( ~ 'fun_app$'('dilating$'(X,Y),Z)
| ( 'fun_app$d'('of_nat$','fun_app$e'('run_tick_count$'(Y,U),V)) = 'fun_app$d'('of_nat$','fun_app$e'('run_tick_count$'(Z,U),'fun_app$e'(X,V))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom194) ).
tff(345,axiom,
! [X: 'A_run$',Y: 'Clock$',Z: 'Nat$'] : ( 'fun_app$d'('of_nat$','fun_app$e'('tick_count$'(X,Y),Z)) = 'fun_app$d'('of_nat$','fun_app$e'('run_tick_count$'(X,Y),Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom195) ).
tff(955,axiom,
! [X: 'Nat$'] : ( 'fun_app$c'('nat$','fun_app$d'('of_nat$',X)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom642) ).
tff(967,plain,
$lesseq('fun_app$d'('of_nat$','fun_app$e'('run_tick_count$'('sub$','c_2$'),'sn_0$')),'fun_app$d'('of_nat$','fun_app$e'('run_tick_count$'('sub$','c_1$'),'n_0$'))),
inference('REWRITE',[status(thm)],[60,345,theory(equality)]) ).
tff(968,plain,
~ $lesseq('fun_app$d'('of_nat$','fun_app$e'('run_tick_count$'('r$','c_2$'),'fun_app$c'('nat$',$sum(1,'fun_app$d'('of_nat$','n$'))))),'fun_app$d'('of_nat$','fun_app$e'('run_tick_count$'('r$','c_1$'),'n$'))),
inference('REWRITE',[status(thm)],[57,345,theory(equality)]) ).
tff(1084,plain,
'n$' = 'fun_app$e'('f$','n_0$'),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[955,62,theory(equality)]),955,theory(equality)]) ).
tff(1308,plain,
'fun_app$c'('nat$',$sum(1,'fun_app$d'('of_nat$','n$'))) = 'fun_app$e'('f$','sn_0$'),
inference('PARAMODULATE',[status(thm)],[955,66,theory(equality)]) ).
tff(5828,plain,
! [X: 'Clock$',Y: 'Nat$'] : ( 'fun_app$d'('of_nat$','fun_app$e'('run_tick_count$'('sub$',X),Y)) = 'fun_app$d'('of_nat$','fun_app$e'('run_tick_count$'('r$',X),'fun_app$e'('f$',Y))) ),
inference('HYPERRESOLVE',[status(thm)],[344,92]) ).
cnf(5834,plain,
$false,
inference('REWRITE',[status(thm)],[967,968,1084,1308,5828,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 3 01:40:00 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T01:40:00
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-03T01:40:00
% 6.34/6.60
% 6.34/6.60
% 6.34/6.60 #||
% 6.34/6.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.34/6.60 % SZS output start Refutation
% See solution above
% 6.44/6.61 ||#
% 6.44/6.61
% 6.44/6.61 ; Summary of computation:
% 6.44/6.61 ; 16342 formulas have been input or derived (from 450 formulas).
% 6.44/6.61 ; 5834 (36%) were retained. Of these,
% 6.44/6.61 ; 478 ( 8%) were simplified or subsumed later,
% 6.44/6.61 ; 5356 (92%) are still being kept.
% 6.44/6.61 ;
% 6.44/6.61 ; Run time in seconds excluding printing time:
% 6.44/6.61 ; 0.237 4% Read assertion file (1 call)
% 6.44/6.61 ; 0.026 0% Assert (646 calls)
% 6.44/6.61 ; 0.812 13% Process new row (14,532 calls)
% 6.44/6.61 ; 0.743 12% Resolution (898 calls)
% 6.44/6.61 ; 0.021 0% Paramodulation (449 calls)
% 6.44/6.61 ; 0.000 0% Factoring (36 calls)
% 6.44/6.61 ; 0.135 2% Condensing (9,002 calls)
% 6.44/6.61 ; 2.388 39% Forward subsumption (9,002 calls)
% 6.44/6.61 ; 0.376 6% Backward subsumption (4,925 calls)
% 6.44/6.61 ; 0.197 3% Clause clause subsumption (26,673 calls)
% 6.44/6.61 ; 0.765 13% Forward simplification (13,384 calls)
% 6.44/6.61 ; 0.029 0% Backward simplification (5,579 calls)
% 6.44/6.61 ; 0.222 4% Ordering (52,338 calls)
% 6.44/6.61 ; 0.003 0% Ordering ac (136 calls)
% 6.44/6.61 ; 0.056 1% Sortal reasoning (50,077 calls)
% 6.44/6.61 ; 0.002 0% Purity testing (1 call)
% 6.44/6.61 ; 0.105 2% Other
% 6.44/6.61 ; 6.117 Total
% 6.44/6.61 ; 6.128 Real time
% 6.44/6.61 ;
% 6.45/6.61 ; Term-hash-array has 11,514 terms in all.
% 6.45/6.61 ; Feature-vector-row-index has 4,765 entries (4,828 at peak, 4,925 added, 160 deleted).
% 6.45/6.61 ; Feature-vector-row-index has 52,375 nodes (53,661 at peak, 54,675 added, 2,300 deleted).
% 6.45/6.61 ; Retrieved 46,167 possibly forward subsuming rows in 9,002 calls.
% 6.45/6.61 ; Retrieved 2,192 possibly backward subsumed rows in 4,925 calls.
% 6.45/6.61 ; Path-index has 11,202 entries (11,359 at peak, 11,655 added, 453 deleted).
% 6.45/6.61 ; Path-index has 23,163 nodes (23,239 at peak, 23,576 added, 413 deleted).
% 6.45/6.61 ; Trie-index has 11,202 entries (11,359 at peak, 11,655 added, 453 deleted).
% 6.45/6.61 ; Trie-index has 28,888 nodes (29,044 at peak, 29,660 added, 772 deleted).
% 6.45/6.61 ; Retrieved 133,928 generalization terms in 83,039 calls.
% 6.45/6.61 ; Retrieved 1,332 instance terms in 712 calls.
% 6.45/6.61 ; Retrieved 758,606 unifiable terms in 8,340 calls.
% 6.45/6.61 ;
% 6.45/6.61 ; The agenda of backward simplifiable rows to process has 84 entries:
% 6.45/6.61 ; 84 with value 0
% 6.45/6.61 ; The agenda of rows to process has 5 entries:
% 6.45/6.61 ; 3 with value 22 2 with value 48
% 6.45/6.61 ; The agenda of input rows to give has 217 entries:
% 6.45/6.61 ; 7 with value 28 2 with value 42 2 with value 60
% 6.45/6.61 ; 11 with value 29 8 with value 44 3 with value 61
% 6.45/6.61 ; 23 with value 30 1 with value 45 1 with value 62
% 6.45/6.61 ; 21 with value 31 4 with value 46 1 with value 63
% 6.45/6.61 ; 8 with value 32 2 with value 47 1 with value 64
% 6.45/6.61 ; 31 with value 33 1 with value 48 1 with value 70
% 6.45/6.61 ; 7 with value 34 3 with value 50 1 with value 82
% 6.45/6.61 ; 9 with value 35 1 with value 51 2 with value 84
% 6.45/6.61 ; 7 with value 36 2 with value 52 1 with value 85
% 6.45/6.61 ; 8 with value 37 5 with value 53 2 with value 87
% 6.45/6.61 ; 3 with value 38 4 with value 54 1 with value 88
% 6.45/6.61 ; 14 with value 39 1 with value 55 2 with value 104
% 6.45/6.61 ; 5 with value 40 3 with value 58 2 with value 107
% 6.45/6.61 ; 5 with value 41 1 with value 59
% 6.45/6.61 ; The agenda of rows to give has 4708 entries:
% 6.45/6.61 ; 2 with value (4 5) 140 with value (4 34) 35 with value (4 62)
% 6.45/6.61 ; 9 with value (4 7) 111 with value (4 35) 29 with value (4 63)
% 6.45/6.61 ; 17 with value (4 8) 91 with value (4 36) 16 with value (4 64)
% 6.45/6.61 ; 15 with value (4 9) 116 with value (4 37) 13 with value (4 65)
% 6.45/6.61 ; 32 with value (4 10) 120 with value (4 38) 26 with value (4 66)
% 6.45/6.61 ; 34 with value (4 11) 74 with value (4 39) 7 with value (4 67)
% 6.45/6.61 ; 70 with value (4 12) 107 with value (4 40) 36 with value (4 68)
% 6.45/6.61 ; 68 with value (4 13) 107 with value (4 41) 43 with value (4 69)
% 6.45/6.61 ; 46 with value (4 14) 76 with value (4 42) 28 with value (4 70)
% 6.45/6.61 ; 58 with value (4 15) 100 with value (4 43) 20 with value (4 71)
% 6.45/6.61 ; 118 with value (4 16) 60 with value (4 44) 8 with value (4 72)
% 6.45/6.61 ; 76 with value (4 17) 65 with value (4 45) 7 with value (4 73)
% 6.45/6.61 ; 97 with value (4 18) 79 with value (4 46) 3 with value (4 74)
% 6.45/6.61 ; 61 with value (4 19) 84 with value (4 47) 13 with value (4 75)
% 6.45/6.61 ; 107 with value (4 20) 62 with value (4 48) 16 with value (4 76)
% 6.45/6.61 ; 86 with value (4 21) 45 with value (4 49) 7 with value (4 77)
% 6.45/6.61 ; 88 with value (4 22) 71 with value (4 50) 4 with value (4 79)
% 6.45/6.61 ; 91 with value (4 23) 42 with value (4 51) 1 with value (4 80)
% 6.45/6.61 ; 115 with value (4 24) 34 with value (4 52) 3 with value (4 81)
% 6.45/6.61 ; 123 with value (4 25) 83 with value (4 53) 1 with value (4 82)
% 6.45/6.61 ; 121 with value (4 26) 57 with value (4 54) 8 with value (4 85)
% 6.45/6.61 ; 158 with value (4 27) 41 with value (4 55) 8 with value (4 87)
% 6.45/6.61 ; 106 with value (4 28) 36 with value (4 56) 1 with value (4 90)
% 6.45/6.61 ; 149 with value (4 29) 43 with value (4 57) 2 with value (4 92)
% 6.45/6.61 ; 124 with value (4 30) 54 with value (4 58) 1 with value (4 93)
% 6.45/6.61 ; 100 with value (4 31) 73 with value (4 59) 2 with value (4 94)
% 6.45/6.61 ; 145 with value (4 32) 22 with value (4 60) 2 with value (4 96)
% 6.45/6.61 ; 138 with value (4 33) 20 with value (4 61) 1 with value (4 103)
% 6.45/6.61 Evaluation took:
% 6.45/6.61 6.135 seconds of real time
% 6.45/6.61 5.661319 seconds of user run time
% 6.45/6.61 0.465212 seconds of system run time
% 6.45/6.61 [Run times include 0.839 seconds GC run time.]
% 6.45/6.61 0 calls to %EVAL
% 6.45/6.61 0 page faults and
% 6.45/6.61 459,682,008 bytes consed.
% 6.45/6.61 :PROOF-FOUND
% 6.45/6.61 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T01:40:06
% 6.45/6.61 :PROOF-FOUND
% 6.45/6.61 *
%------------------------------------------------------------------------------