TSTP Solution File: SWW619_2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW619_2 : TPTP v8.1.0. Released v6.1.0.
% 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 : Thu Jul 21 01:25:29 EDT 2022
% Result : Theorem 1.31s 1.49s
% Output : Refutation 1.31s
% 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 : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 7 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 32 ( 32 fml; 0 var)
% Number arithmetic : 17 ( 4 atm; 10 fun; 2 num; 1 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 10 usr; 6 prp; 0-3 aty)
% Number of functors : 3 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 1 ( 0 sgn 1 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
tff(184,negated_conjecture,
! [X: $int] :
( ~ $lesseq(0,$product(X,'SKOLEMAAAV16.$int'))
| ~ $less($product(X,'SKOLEMAAAV16.$int'),'SKOLEMAAAV12.$int')
| sorted_sub3(tb2t8(mk_array1(elt5,'SKOLEMAAAV12.$int',t2tb9('SKOLEMAAAV17.map_int_elt2'))),$product(X,'SKOLEMAAAV16.$int'),min('SKOLEMAAAV12.$int',$sum($product(X,'SKOLEMAAAV16.$int'),'SKOLEMAAAV16.$int'))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_bottom_up_mergesort) ).
tff(186,negated_conjecture,
$lesseq(0,$product('SKOLEMAAAV18.$int','SKOLEMAAAV16.$int')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_bottom_up_mergesort) ).
tff(187,negated_conjecture,
$less($product('SKOLEMAAAV18.$int','SKOLEMAAAV16.$int'),'SKOLEMAAAV12.$int'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_bottom_up_mergesort) ).
tff(188,negated_conjecture,
~ sorted_sub3(tb2t8(mk_array1(elt5,'SKOLEMAAAV12.$int',t2tb9('SKOLEMAAAV17.map_int_elt2'))),$product('SKOLEMAAAV18.$int','SKOLEMAAAV16.$int'),min('SKOLEMAAAV12.$int',$sum($product('SKOLEMAAAV18.$int','SKOLEMAAAV16.$int'),'SKOLEMAAAV16.$int'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_bottom_up_mergesort) ).
cnf(2290,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[184,186,187,188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW619_2 : TPTP v8.1.0. Released v6.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 5 21:51:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T21:51:15
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-05T21:51:15
% 0.19/0.53 WARNING: Cannot use equality or equivalence (= ?X.tuple02 tuple03) as rewrite.
% 1.31/1.49
% 1.31/1.49
% 1.31/1.49 #||
% 1.31/1.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.31/1.49 % SZS output start Refutation
% See solution above
% 1.31/1.49 ||#
% 1.31/1.49
% 1.31/1.49 ; Summary of computation:
% 1.31/1.49 ; 3294 formulas have been input or derived (from 164 formulas).
% 1.31/1.49 ; 2290 (70%) were retained. Of these,
% 1.31/1.49 ; 18 ( 1%) were simplified or subsumed later,
% 1.31/1.49 ; 2272 (99%) are still being kept.
% 1.31/1.49 ;
% 1.31/1.49 ; Run time in seconds:
% 1.31/1.49 ; 0.039 4% Read assertion file (1 call)
% 1.31/1.49 ; 0.006 1% Assert (98 calls)
% 1.31/1.49 ; 0.268 26% Process new row (3,180 calls)
% 1.31/1.49 ; 0.096 9% Resolution (326 calls)
% 1.31/1.49 ; 0.001 0% Paramodulation (163 calls)
% 1.31/1.49 ; 0.000 0% Factoring (24 calls)
% 1.31/1.49 ; 0.048 5% Condensing (2,011 calls)
% 1.31/1.49 ; 0.278 27% Forward subsumption (2,011 calls)
% 1.31/1.49 ; 0.084 8% Backward subsumption (1,965 calls)
% 1.31/1.49 ; 0.016 2% Clause clause subsumption (4,876 calls)
% 1.31/1.49 ; 0.113 11% Forward simplification (3,141 calls)
% 1.31/1.49 ; 0.006 1% Backward simplification (2,282 calls)
% 1.31/1.49 ; 0.015 1% Ordering (2,382 calls)
% 1.31/1.49 ; 0.012 1% Sortal reasoning (14,979 calls)
% 1.31/1.49 ; 0.001 0% Purity testing (1 call)
% 1.31/1.49 ; 0.041 4% Other
% 1.31/1.49 ; 1.024 Total
% 1.31/1.49 ; 1.026 Real time
% 1.31/1.49 ;
% 1.31/1.49 ; Term-hash-array has 5,698 terms in all.
% 1.31/1.49 ; Feature-vector-row-index has 1,965 entries (1,965 at peak, 1,965 added, 0 deleted).
% 1.31/1.49 ; Feature-vector-row-index has 19,116 nodes (19,116 at peak, 19,116 added, 0 deleted).
% 1.31/1.49 ; Retrieved 6,319 possibly forward subsuming rows in 2,011 calls.
% 1.31/1.49 ; Retrieved 868 possibly backward subsumed rows in 1,965 calls.
% 1.31/1.49 ; Path-index has 5,698 entries (5,698 at peak, 5,715 added, 17 deleted).
% 1.31/1.49 ; Path-index has 12,551 nodes (12,551 at peak, 12,571 added, 20 deleted).
% 1.31/1.49 ; Trie-index has 5,698 entries (5,698 at peak, 5,715 added, 17 deleted).
% 1.31/1.49 ; Trie-index has 16,910 nodes (16,910 at peak, 16,967 added, 57 deleted).
% 1.31/1.49 ; Retrieved 17,296 generalization terms in 20,352 calls.
% 1.31/1.49 ; Retrieved 510 instance terms in 316 calls.
% 1.31/1.49 ; Retrieved 82,723 unifiable terms in 3,061 calls.
% 1.31/1.49 ;
% 1.31/1.49 ; The agenda of rows to process has 8 entries:
% 1.31/1.49 ; 2 with value 8 2 with value 29 1 with value 36
% 1.31/1.49 ; 1 with value 22 1 with value 35 1 with value 42
% 1.31/1.49 ; The agenda of input rows to give has 16 entries:
% 1.31/1.49 ; 1 with value 37 2 with value 41 1 with value 51
% 1.31/1.49 ; 1 with value 38 1 with value 42 4 with value 69
% 1.31/1.49 ; 1 with value 39 2 with value 50 1 with value 88
% 1.31/1.49 ; 2 with value 40
% 1.31/1.49 ; The agenda of rows to give has 2100 entries:
% 1.31/1.49 ; 5 with value (4 5) 51 with value (4 34) 16 with value (4 61)
% 1.31/1.49 ; 6 with value (4 7) 52 with value (4 35) 9 with value (4 62)
% 1.31/1.49 ; 16 with value (4 8) 38 with value (4 36) 10 with value (4 63)
% 1.31/1.49 ; 12 with value (4 10) 46 with value (4 37) 21 with value (4 64)
% 1.31/1.49 ; 28 with value (4 11) 70 with value (4 38) 13 with value (4 65)
% 1.31/1.49 ; 33 with value (4 12) 69 with value (4 39) 13 with value (4 66)
% 1.31/1.49 ; 37 with value (4 13) 41 with value (4 40) 20 with value (4 67)
% 1.31/1.49 ; 30 with value (4 14) 36 with value (4 41) 4 with value (4 68)
% 1.31/1.49 ; 32 with value (4 15) 58 with value (4 42) 20 with value (4 69)
% 1.31/1.49 ; 31 with value (4 16) 60 with value (4 43) 13 with value (4 70)
% 1.31/1.49 ; 40 with value (4 17) 30 with value (4 44) 2 with value (4 71)
% 1.31/1.49 ; 30 with value (4 18) 56 with value (4 45) 9 with value (4 72)
% 1.31/1.49 ; 25 with value (4 19) 49 with value (4 46) 10 with value (4 73)
% 1.31/1.49 ; 30 with value (4 20) 21 with value (4 47) 1 with value (4 74)
% 1.31/1.49 ; 16 with value (4 21) 43 with value (4 48) 5 with value (4 75)
% 1.31/1.49 ; 19 with value (4 22) 36 with value (4 49) 4 with value (4 76)
% 1.31/1.49 ; 25 with value (4 23) 34 with value (4 50) 9 with value (4 78)
% 1.31/1.49 ; 21 with value (4 24) 49 with value (4 51) 4 with value (4 81)
% 1.31/1.49 ; 30 with value (4 25) 34 with value (4 52) 2 with value (4 83)
% 1.31/1.49 ; 37 with value (4 26) 36 with value (4 53) 2 with value (4 84)
% 1.31/1.49 ; 33 with value (4 27) 31 with value (4 54) 1 with value (4 86)
% 1.31/1.49 ; 31 with value (4 28) 39 with value (4 55) 2 with value (4 87)
% 1.31/1.49 ; 47 with value (4 29) 36 with value (4 56) 1 with value (4 90)
% 1.31/1.49 ; 43 with value (4 30) 21 with value (4 57) 1 with value (4 97)
% 1.31/1.49 ; 54 with value (4 31) 20 with value (4 58) 2 with value (4 99)
% 1.31/1.49 ; 40 with value (4 32) 21 with value (4 59) 1 with value (4 102)
% 1.31/1.49 ; 56 with value (4 33) 21 with value (4 60)
% 1.31/1.49 Evaluation took:
% 1.31/1.49 1.027 seconds of real time
% 1.31/1.49 0.950996 seconds of user run time
% 1.31/1.49 0.075756 seconds of system run time
% 1.31/1.49 [Run times include 0.1 seconds GC run time.]
% 1.31/1.49 0 calls to %EVAL
% 1.31/1.49 0 page faults and
% 1.31/1.49 88,833,832 bytes consed.
% 1.31/1.49 :PROOF-FOUND
% 1.31/1.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T21:51:16
% 1.31/1.49 :PROOF-FOUND
% 1.31/1.49 *
%------------------------------------------------------------------------------