%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ITP367_1 : TPTP v8.1.0. Released v8.0.0.
% 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 00:35:10 EDT 2022
% Result : Theorem 52.86s 53.03s
% Output : Refutation 52.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 10 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 38 ( 38 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 11 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(5,negated_conjecture,
~ 'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$','x$'),'y$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture2) ).
tff(11,axiom,
! [X: 'A_ltln_set$',Y: 'A_ltln_set$'] :
( 'fun_app$a'('finite$','fun_app$c'('fun_app$d'('sup$',X),Y))
| ~ 'fun_app$a'('finite$',X)
| ~ 'fun_app$a'('finite$',Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom4) ).
tff(66,axiom,
'fun_app$a'('fun_app$g'('less_eq$','y$'),'fun_app$h'('subformulas_nu$','phi$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom69) ).
tff(67,axiom,
'fun_app$a'('fun_app$g'('less_eq$','x$'),'fun_app$h'('subformulas_mu$','phi$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom70) ).
tff(240,axiom,
! [X: 'A_ltln_set$',Y: 'A_ltln_set$'] :
( ~ 'fun_app$a'('fun_app$g'('less_eq$',X),Y)
| ~ 'fun_app$a'('finite$',Y)
| 'fun_app$a'('finite$',X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom258) ).
tff(251,axiom,
! [X: 'A_ltln$'] : 'fun_app$a'('finite$','fun_app$h'('subformulas_mu$',X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom287) ).
tff(252,axiom,
! [X: 'A_ltln$'] : 'fun_app$a'('finite$','fun_app$h'('subformulas_nu$',X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom288) ).
tff(848,plain,
'fun_app$a'('finite$','y$'),
inference('HYPERRESOLVE',[status(thm)],[240,66,252]) ).
tff(849,plain,
'fun_app$a'('finite$','x$'),
inference('HYPERRESOLVE',[status(thm)],[240,67,251]) ).
cnf(16940,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,848,5]),849]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ITP367_1 : TPTP v8.1.0. Released v8.0.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 2 21:16:42 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.50 *
% 0.22/0.50 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T21:16:43
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-02T21:16:43
% 0.48/0.71 WARNING:
% 0.48/0.71 |less_eq$b| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.71 WARNING:
% 0.48/0.71 |finite$b| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.71 WARNING:
% 0.48/0.71 |comp_fun_idem$| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.71 WARNING:
% 0.48/0.71 |comp_fun_idem$a| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.71 WARNING:
% 0.48/0.71 |comp_fun_idem$b| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.71 WARNING:
% 0.48/0.71 |comp_fun_idem$c| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 52.86/53.03
% 52.86/53.03
% 52.86/53.03 #||
% 52.86/53.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 52.86/53.03 % SZS output start Refutation
% See solution above
% 52.86/53.04 ||#
% 52.86/53.04
% 52.86/53.04 ; Summary of computation:
% 52.86/53.04 ; 134807 formulas have been input or derived (from 651 formulas).
% 52.86/53.04 ; 16940 (13%) were retained. Of these,
% 52.86/53.04 ; 285 ( 2%) were simplified or subsumed later,
% 52.86/53.04 ; 16655 (98%) are still being kept.
% 52.86/53.04 ;
% 52.86/53.04 ; Run time in seconds excluding printing time:
% 52.86/53.04 ; 0.160 0% Read assertion file (1 call)
% 52.86/53.04 ; 0.022 0% Assert (640 calls)
% 52.86/53.04 ; 3.554 7% Process new row (125,191 calls)
% 52.86/53.04 ; 9.318 18% Resolution (1,300 calls)
% 52.86/53.04 ; 0.145 0% Paramodulation (650 calls)
% 52.86/53.04 ; 0.000 0% Factoring (33 calls)
% 52.86/53.04 ; 0.356 1% Condensing (20,459 calls)
% 52.86/53.04 ; 7.668 15% Forward subsumption (20,459 calls)
% 52.86/53.04 ; 1.347 3% Backward subsumption (13,626 calls)
% 52.86/53.04 ; 0.414 1% Clause clause subsumption (88,723 calls)
% 52.86/53.04 ; 12.937 25% Forward simplification (125,149 calls)
% 52.86/53.04 ; 0.260 0% Backward simplification (16,932 calls)
% 52.86/53.04 ; 15.689 30% Ordering (1,595,286 calls)
% 52.86/53.04 ; 0.130 0% Sortal reasoning (166,217 calls)
% 52.86/53.04 ; 0.003 0% Purity testing (1 call)
% 52.86/53.04 ; 0.522 1% Other
% 52.86/53.04 ; 52.525 Total
% 52.86/53.04 ; 52.526 Real time
% 52.86/53.04 ;
% 52.86/53.05 ; Term-hash-array has 42,584 terms in all.
% 52.86/53.05 ; Feature-vector-row-index has 13,446 entries (13,446 at peak, 13,626 added, 180 deleted).
% 52.86/53.05 ; Feature-vector-row-index has 176,343 nodes (176,343 at peak, 178,198 added, 1,855 deleted).
% 52.86/53.05 ; Retrieved 119,609 possibly forward subsuming rows in 20,459 calls.
% 52.86/53.05 ; Retrieved 5,219 possibly backward subsumed rows in 13,626 calls.
% 52.86/53.05 ; Path-index has 42,102 entries (42,102 at peak, 42,694 added, 592 deleted).
% 52.86/53.05 ; Path-index has 68,595 nodes (68,595 at peak, 69,106 added, 511 deleted).
% 52.86/53.05 ; Trie-index has 42,102 entries (42,102 at peak, 42,694 added, 592 deleted).
% 52.86/53.05 ; Trie-index has 266,306 nodes (266,306 at peak, 269,145 added, 2,839 deleted).
% 52.86/53.05 ; Retrieved 2,206,660 generalization terms in 1,199,806 calls.
% 52.86/53.05 ; Retrieved 25,486 instance terms in 5,481 calls.
% 52.86/53.05 ; Retrieved 10,632,457 unifiable terms in 51,903 calls.
% 52.86/53.05 ;
% 52.86/53.05 ; The agenda of rows to process has 4916 entries:
% 52.86/53.05 ; 1 with value 6 58 with value 36 22 with value 64
% 52.86/53.05 ; 2 with value 8 95 with value 37 74 with value 65
% 52.86/53.05 ; 68 with value 9 43 with value 38 124 with value 66
% 52.86/53.05 ; 5 with value 11 84 with value 39 144 with value 67
% 52.86/53.05 ; 34 with value 12 81 with value 40 68 with value 68
% 52.86/53.05 ; 25 with value 13 83 with value 41 55 with value 69
% 52.86/53.05 ; 12 with value 14 117 with value 42 56 with value 70
% 52.86/53.05 ; 11 with value 15 71 with value 43 67 with value 71
% 52.86/53.05 ; 24 with value 16 45 with value 44 56 with value 72
% 52.86/53.05 ; 6 with value 17 47 with value 45 91 with value 73
% 52.86/53.05 ; 31 with value 18 60 with value 46 115 with value 74
% 52.86/53.05 ; 54 with value 19 80 with value 47 47 with value 75
% 52.86/53.05 ; 12 with value 20 117 with value 48 54 with value 76
% 52.86/53.05 ; 28 with value 21 54 with value 49 84 with value 77
% 52.86/53.05 ; 15 with value 22 22 with value 50 103 with value 78
% 52.86/53.05 ; 30 with value 23 67 with value 51 63 with value 79
% 52.86/53.05 ; 32 with value 24 124 with value 52 82 with value 80
% 52.86/53.05 ; 34 with value 25 49 with value 53 84 with value 81
% 52.86/53.05 ; 43 with value 26 37 with value 54 24 with value 82
% 52.86/53.05 ; 40 with value 27 121 with value 55 48 with value 83
% 52.86/53.05 ; 29 with value 28 59 with value 56 47 with value 84
% 52.86/53.05 ; 57 with value 29 22 with value 57 71 with value 85
% 52.86/53.05 ; 58 with value 30 67 with value 58 134 with value 86
% 52.86/53.05 ; 72 with value 31 74 with value 59 107 with value 87
% 52.86/53.05 ; 86 with value 32 44 with value 60 6 with value 88
% 52.86/53.05 ; 51 with value 33 93 with value 61 8 with value 90
% 52.86/53.05 ; 70 with value 34 92 with value 62 40 with value 91
% 52.86/53.05 ; 80 with value 35 78 with value 63 48 with value 92
% 52.86/53.05 ; The agenda of rows to give has 16006 entries:
% 52.86/53.05 ; 1 with value (4 5) 137 with value (4 49) 74 with value (4 91)
% 52.86/53.05 ; 9 with value (4 7) 150 with value (4 50) 110 with value (4 92)
% 52.86/53.05 ; 3 with value (4 8) 226 with value (4 51) 129 with value (4 93)
% 52.86/53.05 ; 4 with value (4 9) 168 with value (4 52) 125 with value (4 94)
% 52.86/53.05 ; 14 with value (4 10) 143 with value (4 53) 186 with value (4 95)
% 52.86/53.06 ; 38 with value (4 11) 162 with value (4 54) 107 with value (4 96)
% 52.86/53.06 ; 33 with value (4 12) 218 with value (4 55) 72 with value (4 97)
% 52.86/53.06 ; 42 with value (4 13) 205 with value (4 56) 14 with value (4 98)
% 52.86/53.06 ; 22 with value (4 14) 196 with value (4 57) 34 with value (4 99)
% 52.86/53.06 ; 89 with value (4 15) 197 with value (4 58) 112 with value (4 100)
% 52.86/53.06 ; 67 with value (4 16) 229 with value (4 59) 109 with value (4 101)
% 52.86/53.06 ; 126 with value (4 17) 152 with value (4 60) 98 with value (4 102)
% 52.86/53.06 ; 92 with value (4 18) 172 with value (4 61) 9 with value (4 103)
% 52.86/53.06 ; 116 with value (4 19) 190 with value (4 62) 1 with value (4 106)
% 52.86/53.06 ; 157 with value (4 20) 221 with value (4 63) 9 with value (4 107)
% 52.86/53.06 ; 156 with value (4 21) 307 with value (4 64) 10 with value (4 108)
% 52.86/53.06 ; 224 with value (4 22) 173 with value (4 65) 6 with value (4 109)
% 52.86/53.06 ; 181 with value (4 23) 137 with value (4 66) 48 with value (4 110)
% 52.86/53.06 ; 238 with value (4 24) 135 with value (4 67) 24 with value (4 111)
% 52.86/53.06 ; 329 with value (4 25) 324 with value (4 68) 1 with value (4 112)
% 52.86/53.06 ; 217 with value (4 26) 95 with value (4 69) 1 with value (4 113)
% 52.86/53.06 ; 352 with value (4 27) 123 with value (4 70) 2 with value (4 114)
% 52.86/53.06 ; 327 with value (4 28) 61 with value (4 71) 1 with value (4 116)
% 52.86/53.06 ; 309 with value (4 29) 132 with value (4 72) 1 with value (4 117)
% 52.86/53.06 ; 314 with value (4 30) 63 with value (4 73) 10 with value (4 118)
% 52.86/53.06 ; 341 with value (4 31) 73 with value (4 74) 7 with value (4 119)
% 52.86/53.06 ; 449 with value (4 32) 104 with value (4 75) 1 with value (4 120)
% 52.86/53.06 ; 442 with value (4 33) 120 with value (4 76) 3 with value (4 121)
% 52.86/53.06 ; 284 with value (4 34) 65 with value (4 77) 3 with value (4 122)
% 52.86/53.06 ; 315 with value (4 35) 58 with value (4 78) 3 with value (4 126)
% 52.86/53.06 ; 332 with value (4 36) 89 with value (4 79) 3 with value (4 127)
% 52.86/53.06 ; 323 with value (4 37) 97 with value (4 80) 1 with value (4 133)
% 52.86/53.06 ; 384 with value (4 38) 111 with value (4 81) 3 with value (4 134)
% 52.86/53.06 ; 272 with value (4 39) 114 with value (4 82) 2 with value (4 147)
% 52.86/53.06 ; 188 with value (4 40) 58 with value (4 83) 1 with value (4 149)
% 52.86/53.06 ; 148 with value (4 41) 92 with value (4 84) 1 with value (4 150)
% 52.86/53.06 ; 240 with value (4 42) 130 with value (4 85) 2 with value (4 159)
% 52.86/53.06 ; 305 with value (4 43) 150 with value (4 86) 2 with value (4 166)
% 52.86/53.06 ; 295 with value (4 44) 156 with value (4 87) 3 with value (4 167)
% 52.86/53.06 ; 187 with value (4 45) 137 with value (4 88) 3 with value (4 168)
% 52.86/53.06 ; 241 with value (4 46) 145 with value (4 89) 1 with value (4 175)
% 52.86/53.06 ; 184 with value (4 47) 112 with value (4 90) 1 with value (4 179)
% 52.86/53.06 ; 156 with value (4 48)
% 52.86/53.06 Evaluation took:
% 52.86/53.06 52.545 seconds of real time
% 52.86/53.06 49.23856 seconds of user run time
% 52.86/53.06 3.306987 seconds of system run time
% 52.86/53.06 [Run times include 6.828 seconds GC run time.]
% 52.86/53.06 0 calls to %EVAL
% 52.86/53.06 0 page faults and
% 52.86/53.06 3,549,949,768 bytes consed.
% 52.86/53.06 :PROOF-FOUND
% 52.86/53.06 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T21:17:35
% 52.86/53.06 :PROOF-FOUND
% 52.86/53.06 *
%------------------------------------------------------------------------------