TSTP Solution File: ITP328_1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% 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 : n026.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 00:35:06 EDT 2022
% Result : Theorem 0.99s 1.22s
% Output : Refutation 0.99s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')
% Comments :
%------------------------------------------------------------------------------
tff(23,negated_conjecture,
( $less('fun_app$e'('of_nat$','to_nat$'('x$')),'fun_app$e'('of_nat$','to_nat$'('i$')))
| ( $sum('fun_app$e'('of_nat$','to_nat$'('i$')),$difference('fun_app$e'('of_nat$','to_nat$'('x$')),'fun_app$e'('of_nat$','to_nat$'('i$')))) != 'fun_app$e'('of_nat$','to_nat$'('x$')) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture5) ).
tff(24,plain,
$less('fun_app$e'('of_nat$','to_nat$'('x$')),'fun_app$e'('of_nat$','to_nat$'('i$'))),
inference('REWRITE',[status(thm)],[23,'CODE-FOR-$$SUM','CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE',theory(equality)]) ).
tff(43,axiom,
'fun_app$d'('fun_app$g'('less_eq$','i$'),'x$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom16) ).
tff(54,axiom,
! [X: 'N$',Y: 'N$'] :
( ~ 'fun_app$d'('fun_app$g'('less_eq$',X),Y)
| $lesseq('fun_app$e'('of_nat$','to_nat$'(X)),'fun_app$e'('of_nat$','to_nat$'(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom24) ).
tff(777,axiom,
! [X: $int,Y: $int] :
( ~ $lesseq(X,Y)
| ~ $less(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom408) ).
tff(1057,plain,
~ $lesseq('fun_app$e'('of_nat$','to_nat$'('i$')),'fun_app$e'('of_nat$','to_nat$'('x$'))),
inference('UR-RESOLVE',[status(thm)],[777,24]) ).
cnf(1553,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[54,43]),1057]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 2 18:49:57 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T18:49:58
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-02T18:49:58
% 0.99/1.22
% 0.99/1.22
% 0.99/1.22 #||
% 0.99/1.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.99/1.22 % SZS output start Refutation
% See solution above
% 0.99/1.22 ||#
% 0.99/1.22
% 0.99/1.22 ; Summary of computation:
% 0.99/1.22 ; 4135 formulas have been input or derived (from 182 formulas).
% 0.99/1.22 ; 1553 (38%) were retained. Of these,
% 0.99/1.22 ; 537 (35%) were simplified or subsumed later,
% 0.99/1.22 ; 1016 (65%) are still being kept.
% 0.99/1.22 ;
% 0.99/1.22 ; Run time in seconds excluding printing time:
% 0.99/1.22 ; 0.198 27% Read assertion file (1 call)
% 0.99/1.22 ; 0.033 5% Assert (620 calls)
% 0.99/1.22 ; 0.113 15% Process new row (3,499 calls)
% 0.99/1.22 ; 0.052 7% Resolution (362 calls)
% 0.99/1.22 ; 0.001 0% Paramodulation (181 calls)
% 0.99/1.22 ; 0.000 0% Factoring (18 calls)
% 0.99/1.22 ; 0.026 4% Condensing (2,048 calls)
% 0.99/1.22 ; 0.063 9% Forward subsumption (2,048 calls)
% 0.99/1.22 ; 0.021 3% Backward subsumption (908 calls)
% 0.99/1.22 ; 0.053 7% Clause clause subsumption (3,926 calls)
% 0.99/1.22 ; 0.110 15% Forward simplification (3,499 calls)
% 0.99/1.22 ; 0.007 1% Backward simplification (1,169 calls)
% 0.99/1.22 ; 0.008 1% Ordering (2,652 calls)
% 0.99/1.22 ; 0.000 0% Ordering ac (6 calls)
% 0.99/1.22 ; 0.013 2% Sortal reasoning (23,459 calls)
% 0.99/1.22 ; 0.003 0% Purity testing (1 call)
% 0.99/1.22 ; 0.031 4% Other
% 0.99/1.22 ; 0.732 Total
% 0.99/1.22 ; 0.734 Real time
% 0.99/1.22 ;
% 0.99/1.22 ; Term-hash-array has 2,345 terms in all.
% 0.99/1.22 ; Feature-vector-row-index has 767 entries (767 at peak, 908 added, 141 deleted).
% 0.99/1.22 ; Feature-vector-row-index has 5,781 nodes (5,781 at peak, 7,541 added, 1,760 deleted).
% 0.99/1.22 ; Retrieved 3,842 possibly forward subsuming rows in 2,048 calls.
% 0.99/1.22 ; Retrieved 1,870 possibly backward subsumed rows in 908 calls.
% 0.99/1.22 ; Path-index has 2,280 entries (2,280 at peak, 2,451 added, 171 deleted).
% 0.99/1.22 ; Path-index has 5,000 nodes (5,000 at peak, 5,095 added, 95 deleted).
% 0.99/1.22 ; Trie-index has 2,280 entries (2,280 at peak, 2,451 added, 171 deleted).
% 0.99/1.22 ; Trie-index has 4,430 nodes (4,430 at peak, 4,538 added, 108 deleted).
% 0.99/1.22 ; Retrieved 13,633 generalization terms in 14,698 calls.
% 0.99/1.22 ; Retrieved 644 instance terms in 314 calls.
% 0.99/1.22 ; Retrieved 69,274 unifiable terms in 1,848 calls.
% 0.99/1.22 ;
% 0.99/1.22 ; The agenda of rows to process has 7 entries:
% 0.99/1.22 ; 3 with value 13 1 with value 16 3 with value 20
% 0.99/1.22 ; The agenda of input rows to give has 331 entries:
% 0.99/1.22 ; 8 with value 19 23 with value 33 1 with value 51
% 0.99/1.22 ; 17 with value 20 4 with value 34 3 with value 53
% 0.99/1.22 ; 19 with value 21 12 with value 35 10 with value 60
% 0.99/1.22 ; 11 with value 22 7 with value 36 6 with value 63
% 0.99/1.22 ; 14 with value 23 15 with value 37 1 with value 66
% 0.99/1.22 ; 6 with value 24 9 with value 38 2 with value 68
% 0.99/1.22 ; 17 with value 25 6 with value 39 1 with value 70
% 0.99/1.22 ; 6 with value 26 7 with value 40 1 with value 71
% 0.99/1.22 ; 18 with value 27 1 with value 41 3 with value 72
% 0.99/1.22 ; 8 with value 28 7 with value 42 1 with value 73
% 0.99/1.22 ; 8 with value 29 9 with value 43 5 with value 74
% 0.99/1.22 ; 25 with value 30 6 with value 44 1 with value 78
% 0.99/1.22 ; 19 with value 31 3 with value 45 1 with value 80
% 0.99/1.22 ; 10 with value 32
% 0.99/1.22 ; The agenda of rows to give has 505 entries:
% 0.99/1.22 ; 1 with value (4 5) 21 with value (4 16) 10 with value (4 26)
% 0.99/1.22 ; 9 with value (4 7) 27 with value (4 17) 5 with value (4 27)
% 0.99/1.22 ; 15 with value (4 8) 61 with value (4 18) 9 with value (4 28)
% 0.99/1.22 ; 10 with value (4 9) 31 with value (4 19) 7 with value (4 29)
% 0.99/1.22 ; 15 with value (4 10) 30 with value (4 20) 6 with value (4 31)
% 0.99/1.22 ; 23 with value (4 11) 22 with value (4 21) 1 with value (4 32)
% 0.99/1.22 ; 28 with value (4 12) 33 with value (4 22) 1 with value (4 33)
% 0.99/1.22 ; 39 with value (4 13) 16 with value (4 23) 2 with value (4 35)
% 0.99/1.22 ; 26 with value (4 14) 14 with value (4 24) 1 with value (4 43)
% 0.99/1.22 ; 28 with value (4 15) 14 with value (4 25)
% 0.99/1.22 Evaluation took:
% 0.99/1.22 0.734 seconds of real time
% 0.99/1.22 0.67574 seconds of user run time
% 0.99/1.22 0.058215 seconds of system run time
% 0.99/1.22 [Run times include 0.025 seconds GC run time.]
% 0.99/1.22 0 calls to %EVAL
% 0.99/1.22 0 page faults and
% 0.99/1.22 59,789,984 bytes consed.
% 0.99/1.22 :PROOF-FOUND
% 0.99/1.22 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T18:49:58
% 0.99/1.22 :PROOF-FOUND
% 0.99/1.22 *
%------------------------------------------------------------------------------