%------------------------------------------------------------------------------
% 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 1.05s 1.21s
% Output : Refutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of formulae : 5 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 2 equ)
% Maximal formula atoms : 3 ( 7 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 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 : 6 ( 4 atm; 0 fun; 0 num; 2 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(128,negated_conjecture,
'fun_app$b'('of_nat$','fun_app$c'('g$','n$')) != 'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),'n$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture46) ).
tff(129,axiom,
! [X: 'Nat$'] : ~ $less('fun_app$b'('of_nat$','fun_app$c'('g$',X)),'fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom48) ).
tff(130,axiom,
! [X: 'Nat$'] : ~ $less('fun_app$b'('of_nat$','fun_app$c'('dil_inverse$'('f$'),X)),'fun_app$b'('of_nat$','fun_app$c'('g$',X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom49) ).
tff(519,axiom,
! [X: $int,Y: $int] :
( $less(X,Y)
| $less(Y,X)
| ( Y = X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom368) ).
cnf(2541,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[519,129,128]),130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n025.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 : Fri Jun 3 00:28:00 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 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 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T00:28:00
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-03T00:28:00
% 0.50/0.68 WARNING:
% 0.50/0.68 |finite$f| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.50/0.68 WARNING:
% 0.50/0.68 DECLARE-PROPOSITION is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.50/0.68 WARNING:
% 0.50/0.68 |contracting$| is a 4-ary relation that occurs only positively; disabling rows that contain it.
% 0.50/0.68 WARNING:
% 0.50/0.68 |dense_run$| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.50/0.68 WARNING:
% 0.50/0.68 |finite$d| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.50/0.68 WARNING:
% 0.50/0.68 |finite$e| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.05/1.21
% 1.05/1.21
% 1.05/1.21 #||
% 1.05/1.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.05/1.21 % SZS output start Refutation
% See solution above
% 1.05/1.21 ||#
% 1.05/1.21
% 1.05/1.21 ; Summary of computation:
% 1.05/1.21 ; 5127 formulas have been input or derived (from 392 formulas).
% 1.05/1.21 ; 2541 (50%) were retained. Of these,
% 1.05/1.21 ; 232 ( 9%) were simplified or subsumed later,
% 1.05/1.21 ; 2309 (91%) are still being kept.
% 1.05/1.21 ;
% 1.05/1.21 ; Run time in seconds excluding printing time:
% 1.05/1.21 ; 0.154 21% Read assertion file (1 call)
% 1.05/1.21 ; 0.024 3% Assert (662 calls)
% 1.05/1.21 ; 0.138 19% Process new row (4,657 calls)
% 1.05/1.21 ; 0.099 14% Resolution (782 calls)
% 1.05/1.21 ; 0.005 1% Paramodulation (391 calls)
% 1.05/1.21 ; 0.000 0% Factoring (37 calls)
% 1.05/1.21 ; 0.044 6% Condensing (2,527 calls)
% 1.05/1.21 ; 0.067 9% Forward subsumption (2,527 calls)
% 1.05/1.21 ; 0.047 6% Backward subsumption (1,717 calls)
% 1.05/1.21 ; 0.016 2% Clause clause subsumption (2,643 calls)
% 1.05/1.21 ; 0.058 8% Forward simplification (4,540 calls)
% 1.05/1.21 ; 0.019 3% Backward simplification (2,394 calls)
% 1.05/1.21 ; 0.006 1% Ordering (3,165 calls)
% 1.05/1.21 ; 0.010 1% Sortal reasoning (9,918 calls)
% 1.05/1.22 ; 0.002 0% Purity testing (1 call)
% 1.05/1.22 ; 0.039 5% Other
% 1.05/1.22 ; 0.728 Total
% 1.05/1.22 ; 0.729 Real time
% 1.05/1.22 ;
% 1.05/1.22 ; Term-hash-array has 4,444 terms in all.
% 1.05/1.22 ; Feature-vector-row-index has 1,670 entries (1,670 at peak, 1,717 added, 47 deleted).
% 1.05/1.22 ; Feature-vector-row-index has 7,828 nodes (7,828 at peak, 8,107 added, 279 deleted).
% 1.05/1.22 ; Retrieved 3,442 possibly forward subsuming rows in 2,527 calls.
% 1.05/1.22 ; Retrieved 691 possibly backward subsumed rows in 1,717 calls.
% 1.05/1.22 ; Path-index has 4,424 entries (4,424 at peak, 4,527 added, 103 deleted).
% 1.05/1.22 ; Path-index has 9,940 nodes (9,940 at peak, 10,044 added, 104 deleted).
% 1.05/1.22 ; Trie-index has 4,424 entries (4,424 at peak, 4,527 added, 103 deleted).
% 1.05/1.22 ; Trie-index has 11,201 nodes (11,201 at peak, 11,383 added, 182 deleted).
% 1.05/1.22 ; Retrieved 4,953 generalization terms in 11,614 calls.
% 1.05/1.22 ; Retrieved 772 instance terms in 676 calls.
% 1.05/1.22 ; Retrieved 88,312 unifiable terms in 2,939 calls.
% 1.05/1.22 ;
% 1.05/1.22 ; The agenda of rows to process has 19 entries:
% 1.05/1.22 ; 2 with value 17 7 with value 19 2 with value 22
% 1.05/1.22 ; 3 with value 18 4 with value 21 1 with value 33
% 1.05/1.22 ; The agenda of input rows to give has 381 entries:
% 1.05/1.22 ; 51 with value 16 6 with value 26 9 with value 35
% 1.05/1.22 ; 43 with value 17 20 with value 27 1 with value 36
% 1.05/1.22 ; 34 with value 18 8 with value 28 7 with value 37
% 1.05/1.22 ; 17 with value 19 8 with value 29 2 with value 39
% 1.05/1.22 ; 19 with value 20 20 with value 30 4 with value 40
% 1.05/1.22 ; 34 with value 21 4 with value 31 6 with value 41
% 1.05/1.22 ; 14 with value 22 8 with value 32 4 with value 43
% 1.05/1.22 ; 14 with value 23 8 with value 33 2 with value 45
% 1.05/1.22 ; 14 with value 24 8 with value 34 1 with value 56
% 1.05/1.22 ; 15 with value 25
% 1.05/1.22 ; The agenda of rows to give has 1543 entries:
% 1.05/1.22 ; 4 with value (4 5) 103 with value (4 16) 23 with value (4 26)
% 1.05/1.22 ; 31 with value (4 7) 77 with value (4 17) 27 with value (4 27)
% 1.05/1.22 ; 72 with value (4 8) 110 with value (4 18) 43 with value (4 28)
% 1.05/1.22 ; 23 with value (4 9) 90 with value (4 19) 2 with value (4 29)
% 1.05/1.22 ; 74 with value (4 10) 62 with value (4 20) 20 with value (4 30)
% 1.05/1.22 ; 119 with value (4 11) 48 with value (4 21) 6 with value (4 31)
% 1.05/1.22 ; 128 with value (4 12) 51 with value (4 22) 4 with value (4 32)
% 1.05/1.22 ; 85 with value (4 13) 63 with value (4 23) 2 with value (4 33)
% 1.05/1.22 ; 71 with value (4 14) 42 with value (4 24) 6 with value (4 35)
% 1.05/1.22 ; 139 with value (4 15) 18 with value (4 25)
% 1.05/1.22 Evaluation took:
% 1.05/1.22 0.731 seconds of real time
% 1.05/1.22 0.662761 seconds of user run time
% 1.05/1.22 0.068004 seconds of system run time
% 1.05/1.22 [Run times include 0.052 seconds GC run time.]
% 1.05/1.22 0 calls to %EVAL
% 1.05/1.22 0 page faults and
% 1.05/1.22 51,783,544 bytes consed.
% 1.05/1.22 :PROOF-FOUND
% 1.05/1.22 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T00:28:01
% 1.05/1.22 :PROOF-FOUND
% 1.05/1.22 *
%------------------------------------------------------------------------------