%------------------------------------------------------------------------------
% 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 : n027.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 00:35:09 EDT 2022
% Result : Theorem 3.45s 3.69s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 8 equ)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 37 ( 37 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 11 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(9,negated_conjecture,
'product$'('fun_app$d'('subseqs$','fun_app$e'('subformulas_mu_list$','phi$')),'fun_app$d'('subseqs$','fun_app$e'('subformulas_nu_list$','phi$'))) = 'nil$',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture4) ).
tff(11,axiom,
! [X: 'A_ltln_list$'] : ( 'fun_app$d'('subseqs$',X) != 'nil$b' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom6) ).
tff(12,axiom,
! [X: 'A_ltln_list_list$',Y: 'A_ltln_list_list$'] :
( ( X = 'nil$b' )
| ( Y = 'nil$b' )
| ( 'product$'(X,Y) != 'nil$' ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom7) ).
tff(22,axiom,
! [X: 'A_ltln$'] : ( 'fun_app$g'('advice_sets$',X) = 'product$'('fun_app$d'('subseqs$','fun_app$e'('subformulas_mu_list$',X)),'fun_app$d'('subseqs$','fun_app$e'('subformulas_nu_list$',X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom17) ).
tff(1999,plain,
'fun_app$g'('advice_sets$','phi$') = 'nil$',
inference('REWRITE',[status(thm)],[9,22,theory(equality)]) ).
tff(3164,plain,
! [X: 'A_ltln$'] : ( 'fun_app$g'('advice_sets$',X) != 'nil$' ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12,22,theory(equality)]),11]) ).
cnf(3165,plain,
$false,
inference('REWRITE',[status(thm)],[1999,3164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 3 21:51:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T21:51:51
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-03T21:51:51
% 0.59/0.77 WARNING:
% 0.59/0.77 |member$k| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.77 WARNING:
% 0.59/0.77 |member$j| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.77 WARNING:
% 0.59/0.77 |member$i| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 3.45/3.69
% 3.45/3.69
% 3.45/3.69 #||
% 3.45/3.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.45/3.69 % SZS output start Refutation
% See solution above
% 3.45/3.69 ||#
% 3.45/3.69
% 3.45/3.69 ; Summary of computation:
% 3.45/3.69 ; 37396 formulas have been input or derived (from 495 formulas).
% 3.45/3.69 ; 3165 ( 8%) were retained. Of these,
% 3.45/3.69 ; 241 ( 8%) were simplified or subsumed later,
% 3.45/3.69 ; 2924 (92%) are still being kept.
% 3.45/3.69 ;
% 3.45/3.69 ; Run time in seconds excluding printing time:
% 3.45/3.69 ; 0.216 7% Read assertion file (1 call)
% 3.45/3.69 ; 0.052 2% Assert (643 calls)
% 3.45/3.69 ; 0.329 10% Process new row (31,721 calls)
% 3.45/3.69 ; 1.329 41% Resolution (988 calls)
% 3.45/3.69 ; 0.020 1% Paramodulation (494 calls)
% 3.45/3.69 ; 0.000 0% Factoring (31 calls)
% 3.45/3.69 ; 0.049 2% Condensing (4,158 calls)
% 3.45/3.69 ; 0.141 4% Forward subsumption (4,158 calls)
% 3.45/3.69 ; 0.098 3% Backward subsumption (2,150 calls)
% 3.45/3.69 ; 0.020 1% Clause clause subsumption (3,086 calls)
% 3.45/3.69 ; 0.569 18% Forward simplification (31,718 calls)
% 3.45/3.69 ; 0.019 1% Backward simplification (3,053 calls)
% 3.45/3.69 ; 0.029 1% Ordering (6,134 calls)
% 3.45/3.69 ; 0.201 6% Sortal reasoning (265,694 calls)
% 3.45/3.69 ; 0.004 0% Purity testing (1 call)
% 3.45/3.69 ; 0.128 4% Other
% 3.45/3.69 ; 3.204 Total
% 3.45/3.69 ; 3.205 Real time
% 3.45/3.69 ;
% 3.45/3.69 ; Term-hash-array has 6,870 terms in all.
% 3.45/3.69 ; Feature-vector-row-index has 2,047 entries (2,047 at peak, 2,150 added, 103 deleted).
% 3.45/3.69 ; Feature-vector-row-index has 12,960 nodes (12,960 at peak, 13,669 added, 709 deleted).
% 3.45/3.69 ; Retrieved 4,855 possibly forward subsuming rows in 4,158 calls.
% 3.45/3.69 ; Retrieved 1,089 possibly backward subsumed rows in 2,150 calls.
% 3.45/3.69 ; Path-index has 6,770 entries (6,773 at peak, 6,975 added, 205 deleted).
% 3.45/3.69 ; Path-index has 30,824 nodes (30,827 at peak, 31,741 added, 917 deleted).
% 3.45/3.69 ; Trie-index has 6,770 entries (6,773 at peak, 6,975 added, 205 deleted).
% 3.45/3.69 ; Trie-index has 27,420 nodes (27,424 at peak, 28,825 added, 1,405 deleted).
% 3.45/3.69 ; Retrieved 91,540 generalization terms in 154,212 calls.
% 3.45/3.69 ; Retrieved 1,294 instance terms in 963 calls.
% 3.45/3.69 ; Retrieved 1,557,423 unifiable terms in 5,683 calls.
% 3.45/3.69 ;
% 3.45/3.69 ; The agenda of rows to process has 80 entries:
% 3.45/3.69 ; 8 with value 29 8 with value 33 20 with value 35
% 3.45/3.69 ; 22 with value 30 3 with value 34 16 with value 36
% 3.45/3.69 ; 3 with value 32
% 3.45/3.69 ; The agenda of input rows to give has 1277 entries:
% 3.45/3.69 ; 15 with value 19 22 with value 37 4 with value 54
% 3.45/3.69 ; 23 with value 20 16 with value 38 3 with value 55
% 3.45/3.69 ; 32 with value 21 83 with value 39 3 with value 56
% 3.45/3.69 ; 23 with value 22 4 with value 40 6 with value 59
% 3.45/3.69 ; 74 with value 23 49 with value 41 2 with value 60
% 3.45/3.69 ; 23 with value 24 89 with value 42 1 with value 61
% 3.45/3.69 ; 43 with value 25 17 with value 43 3 with value 62
% 3.45/3.69 ; 30 with value 26 58 with value 44 1 with value 63
% 3.45/3.69 ; 101 with value 27 30 with value 45 2 with value 65
% 3.45/3.69 ; 106 with value 28 20 with value 46 1 with value 67
% 3.45/3.69 ; 57 with value 29 36 with value 47 3 with value 69
% 3.45/3.69 ; 64 with value 30 19 with value 48 2 with value 70
% 3.45/3.69 ; 26 with value 31 17 with value 49 1 with value 71
% 3.45/3.69 ; 38 with value 32 15 with value 50 2 with value 73
% 3.45/3.69 ; 31 with value 33 9 with value 51 2 with value 74
% 3.45/3.69 ; 19 with value 34 5 with value 52 1 with value 92
% 3.45/3.69 ; 34 with value 35 2 with value 53 1 with value 96
% 3.45/3.69 ; 9 with value 36
% 3.45/3.69 ; The agenda of rows to give has 1159 entries:
% 3.45/3.69 ; 3 with value (4 7) 92 with value (4 17) 86 with value (4 27)
% 3.45/3.69 ; 25 with value (4 8) 123 with value (4 18) 11 with value (4 28)
% 3.45/3.69 ; 8 with value (4 9) 41 with value (4 19) 6 with value (4 29)
% 3.45/3.69 ; 22 with value (4 10) 46 with value (4 20) 14 with value (4 30)
% 3.45/3.69 ; 18 with value (4 11) 86 with value (4 21) 17 with value (4 31)
% 3.45/3.69 ; 68 with value (4 12) 23 with value (4 22) 18 with value (4 32)
% 3.45/3.69 ; 112 with value (4 13) 38 with value (4 23) 12 with value (4 33)
% 3.45/3.69 ; 29 with value (4 14) 37 with value (4 24) 8 with value (4 34)
% 3.45/3.69 ; 110 with value (4 15) 36 with value (4 25) 8 with value (4 37)
% 3.45/3.69 ; 56 with value (4 16) 6 with value (4 26)
% 3.45/3.69 Evaluation took:
% 3.45/3.69 3.207 seconds of real time
% 3.45/3.69 2.747135 seconds of user run time
% 3.45/3.69 0.460692 seconds of system run time
% 3.45/3.69 [Run times include 0.255 seconds GC run time.]
% 3.45/3.69 0 calls to %EVAL
% 3.45/3.69 0 page faults and
% 3.45/3.69 206,976,768 bytes consed.
% 3.45/3.69 :PROOF-FOUND
% 3.45/3.69 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T21:51:54
% 3.45/3.69 :PROOF-FOUND
% 3.45/3.69 *
%------------------------------------------------------------------------------