TSTP Solution File: SWC333-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC333-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 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 : 300s
% DateTime : Sat Sep 2 12:50:24 EDT 2023
% Result : Unsatisfiable 0.23s 0.45s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 124
% Syntax : Number of formulae : 209 ( 114 unt; 0 def)
% Number of atoms : 351 ( 6 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 231 ( 89 ~; 80 |; 0 &)
% ( 62 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 76 ( 74 usr; 63 prp; 0-2 aty)
% Number of functors : 44 ( 44 usr; 8 con; 0-1 aty)
% Number of variables : 75 (; 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f495,plain,
$false,
inference(avatar_sat_refutation,[],[f222,f228,f234,f239,f244,f249,f254,f259,f264,f269,f274,f279,f284,f289,f294,f299,f304,f309,f314,f319,f324,f329,f334,f339,f343,f347,f351,f355,f359,f363,f367,f371,f375,f379,f383,f387,f391,f395,f399,f403,f407,f411,f415,f419,f423,f427,f431,f435,f439,f443,f447,f451,f455,f459,f463,f467,f471,f475,f479,f483,f488,f492,f494]) ).
fof(f494,plain,
( ~ spl0_13
| ~ spl0_12
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f493,f490,f271,f266,f261,f276,f281]) ).
fof(f281,plain,
( spl0_13
<=> segmentP(sk4,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f276,plain,
( spl0_12
<=> segmentP(sk5,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f261,plain,
( spl0_9
<=> totalorderedP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f266,plain,
( spl0_10
<=> ssList(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f271,plain,
( spl0_11
<=> neq(sk3,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f490,plain,
( spl0_62
<=> ! [X6] :
( ~ totalorderedP(X6)
| ~ ssList(X6)
| ~ neq(sk3,X6)
| ~ segmentP(X6,sk3)
| ~ segmentP(sk4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f493,plain,
( ~ ssList(sk5)
| ~ totalorderedP(sk5)
| ~ segmentP(sk5,sk3)
| ~ segmentP(sk4,sk5)
| ~ spl0_11
| ~ spl0_62 ),
inference(resolution,[],[f491,f273]) ).
fof(f273,plain,
( neq(sk3,sk5)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f491,plain,
( ! [X6] :
( ~ neq(sk3,X6)
| ~ ssList(X6)
| ~ totalorderedP(X6)
| ~ segmentP(X6,sk3)
| ~ segmentP(sk4,X6) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f492,plain,
spl0_62,
inference(avatar_split_clause,[],[f194,f490]) ).
fof(f194,axiom,
! [X6] :
( ~ totalorderedP(X6)
| ~ ssList(X6)
| ~ neq(sk3,X6)
| ~ segmentP(X6,sk3)
| ~ segmentP(sk4,X6) ),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',co1_9) ).
fof(f488,plain,
~ spl0_61,
inference(avatar_split_clause,[],[f54,f485]) ).
fof(f485,plain,
( spl0_61
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause54) ).
fof(f483,plain,
spl0_60,
inference(avatar_split_clause,[],[f47,f481]) ).
fof(f481,plain,
( spl0_60
<=> ! [X0] : ssItem(skaf44(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause47) ).
fof(f479,plain,
spl0_59,
inference(avatar_split_clause,[],[f46,f477]) ).
fof(f477,plain,
( spl0_59
<=> ! [X0] : ssItem(skaf49(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause46) ).
fof(f475,plain,
spl0_58,
inference(avatar_split_clause,[],[f45,f473]) ).
fof(f473,plain,
( spl0_58
<=> ! [X0] : ssItem(skaf50(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause45) ).
fof(f471,plain,
spl0_57,
inference(avatar_split_clause,[],[f44,f469]) ).
fof(f469,plain,
( spl0_57
<=> ! [X0] : ssList(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause44) ).
fof(f467,plain,
spl0_56,
inference(avatar_split_clause,[],[f43,f465]) ).
fof(f465,plain,
( spl0_56
<=> ! [X0] : ssList(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause43) ).
fof(f463,plain,
spl0_55,
inference(avatar_split_clause,[],[f42,f461]) ).
fof(f461,plain,
( spl0_55
<=> ! [X0] : ssList(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause42) ).
fof(f459,plain,
spl0_54,
inference(avatar_split_clause,[],[f41,f457]) ).
fof(f457,plain,
( spl0_54
<=> ! [X0] : ssItem(skaf54(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause41) ).
fof(f455,plain,
spl0_53,
inference(avatar_split_clause,[],[f40,f453]) ).
fof(f453,plain,
( spl0_53
<=> ! [X0] : ssItem(skaf55(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause40) ).
fof(f451,plain,
spl0_52,
inference(avatar_split_clause,[],[f39,f449]) ).
fof(f449,plain,
( spl0_52
<=> ! [X0] : ssList(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause39) ).
fof(f447,plain,
spl0_51,
inference(avatar_split_clause,[],[f38,f445]) ).
fof(f445,plain,
( spl0_51
<=> ! [X0] : ssList(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause38) ).
fof(f443,plain,
spl0_50,
inference(avatar_split_clause,[],[f37,f441]) ).
fof(f441,plain,
( spl0_50
<=> ! [X0] : ssList(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause37) ).
fof(f439,plain,
spl0_49,
inference(avatar_split_clause,[],[f36,f437]) ).
fof(f437,plain,
( spl0_49
<=> ! [X0] : ssItem(skaf59(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause36) ).
fof(f435,plain,
spl0_48,
inference(avatar_split_clause,[],[f35,f433]) ).
fof(f433,plain,
( spl0_48
<=> ! [X0] : ssItem(skaf60(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause35) ).
fof(f431,plain,
spl0_47,
inference(avatar_split_clause,[],[f34,f429]) ).
fof(f429,plain,
( spl0_47
<=> ! [X0] : ssList(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause34) ).
fof(f427,plain,
spl0_46,
inference(avatar_split_clause,[],[f33,f425]) ).
fof(f425,plain,
( spl0_46
<=> ! [X0] : ssList(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause33) ).
fof(f423,plain,
spl0_45,
inference(avatar_split_clause,[],[f32,f421]) ).
fof(f421,plain,
( spl0_45
<=> ! [X0] : ssList(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause32) ).
fof(f419,plain,
spl0_44,
inference(avatar_split_clause,[],[f31,f417]) ).
fof(f417,plain,
( spl0_44
<=> ! [X0] : ssItem(skaf64(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause31) ).
fof(f415,plain,
spl0_43,
inference(avatar_split_clause,[],[f30,f413]) ).
fof(f413,plain,
( spl0_43
<=> ! [X0] : ssItem(skaf65(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause30) ).
fof(f411,plain,
spl0_42,
inference(avatar_split_clause,[],[f29,f409]) ).
fof(f409,plain,
( spl0_42
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause29) ).
fof(f407,plain,
spl0_41,
inference(avatar_split_clause,[],[f28,f405]) ).
fof(f405,plain,
( spl0_41
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause28) ).
fof(f403,plain,
spl0_40,
inference(avatar_split_clause,[],[f27,f401]) ).
fof(f401,plain,
( spl0_40
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause27) ).
fof(f399,plain,
spl0_39,
inference(avatar_split_clause,[],[f26,f397]) ).
fof(f397,plain,
( spl0_39
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause26) ).
fof(f395,plain,
spl0_38,
inference(avatar_split_clause,[],[f25,f393]) ).
fof(f393,plain,
( spl0_38
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause25) ).
fof(f391,plain,
spl0_37,
inference(avatar_split_clause,[],[f24,f389]) ).
fof(f389,plain,
( spl0_37
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause24) ).
fof(f387,plain,
spl0_36,
inference(avatar_split_clause,[],[f23,f385]) ).
fof(f385,plain,
( spl0_36
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause23) ).
fof(f383,plain,
spl0_35,
inference(avatar_split_clause,[],[f22,f381]) ).
fof(f381,plain,
( spl0_35
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause22) ).
fof(f379,plain,
spl0_34,
inference(avatar_split_clause,[],[f21,f377]) ).
fof(f377,plain,
( spl0_34
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause21) ).
fof(f375,plain,
spl0_33,
inference(avatar_split_clause,[],[f20,f373]) ).
fof(f373,plain,
( spl0_33
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause20) ).
fof(f371,plain,
spl0_32,
inference(avatar_split_clause,[],[f19,f369]) ).
fof(f369,plain,
( spl0_32
<=> ! [X0] : ssList(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause19) ).
fof(f367,plain,
spl0_31,
inference(avatar_split_clause,[],[f18,f365]) ).
fof(f365,plain,
( spl0_31
<=> ! [X0] : ssList(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause18) ).
fof(f363,plain,
spl0_30,
inference(avatar_split_clause,[],[f17,f361]) ).
fof(f361,plain,
( spl0_30
<=> ! [X0] : ssItem(skaf78(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause17) ).
fof(f359,plain,
spl0_29,
inference(avatar_split_clause,[],[f16,f357]) ).
fof(f357,plain,
( spl0_29
<=> ! [X0] : ssItem(skaf79(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause16) ).
fof(f355,plain,
spl0_28,
inference(avatar_split_clause,[],[f15,f353]) ).
fof(f353,plain,
( spl0_28
<=> ! [X0] : ssList(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause15) ).
fof(f351,plain,
spl0_27,
inference(avatar_split_clause,[],[f14,f349]) ).
fof(f349,plain,
( spl0_27
<=> ! [X0] : ssList(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause14) ).
fof(f347,plain,
spl0_26,
inference(avatar_split_clause,[],[f13,f345]) ).
fof(f345,plain,
( spl0_26
<=> ! [X0] : ssList(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause13) ).
fof(f343,plain,
spl0_25,
inference(avatar_split_clause,[],[f12,f341]) ).
fof(f341,plain,
( spl0_25
<=> ! [X0] : ssItem(skaf83(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause12) ).
fof(f339,plain,
~ spl0_24,
inference(avatar_split_clause,[],[f11,f336]) ).
fof(f336,plain,
( spl0_24
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause11) ).
fof(f334,plain,
spl0_23,
inference(avatar_split_clause,[],[f10,f331]) ).
fof(f331,plain,
( spl0_23
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause10) ).
fof(f329,plain,
spl0_22,
inference(avatar_split_clause,[],[f9,f326]) ).
fof(f326,plain,
( spl0_22
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause9) ).
fof(f324,plain,
spl0_21,
inference(avatar_split_clause,[],[f8,f321]) ).
fof(f321,plain,
( spl0_21
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause8) ).
fof(f319,plain,
spl0_20,
inference(avatar_split_clause,[],[f7,f316]) ).
fof(f316,plain,
( spl0_20
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause7) ).
fof(f314,plain,
spl0_19,
inference(avatar_split_clause,[],[f6,f311]) ).
fof(f311,plain,
( spl0_19
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause6) ).
fof(f309,plain,
spl0_18,
inference(avatar_split_clause,[],[f5,f306]) ).
fof(f306,plain,
( spl0_18
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause5) ).
fof(f304,plain,
spl0_17,
inference(avatar_split_clause,[],[f4,f301]) ).
fof(f301,plain,
( spl0_17
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause4) ).
fof(f299,plain,
spl0_16,
inference(avatar_split_clause,[],[f3,f296]) ).
fof(f296,plain,
( spl0_16
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause3) ).
fof(f294,plain,
spl0_15,
inference(avatar_split_clause,[],[f2,f291]) ).
fof(f291,plain,
( spl0_15
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause2) ).
fof(f289,plain,
spl0_14,
inference(avatar_split_clause,[],[f1,f286]) ).
fof(f286,plain,
( spl0_14
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',clause1) ).
fof(f284,plain,
( ~ spl0_5
| ~ spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f217,f281,f256,f241]) ).
fof(f241,plain,
( spl0_5
<=> totalorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f256,plain,
( spl0_8
<=> segmentP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f217,plain,
( segmentP(sk4,sk5)
| ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(forward_demodulation,[],[f216,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',co1_5) ).
fof(f216,plain,
( ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3)
| segmentP(sk2,sk5) ),
inference(forward_demodulation,[],[f215,f190]) ).
fof(f215,plain,
( ~ segmentP(sk2,sk3)
| ~ totalorderedP(sk3)
| segmentP(sk2,sk5) ),
inference(forward_demodulation,[],[f214,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',co1_6) ).
fof(f214,plain,
( ~ totalorderedP(sk3)
| ~ segmentP(sk2,sk1)
| segmentP(sk2,sk5) ),
inference(forward_demodulation,[],[f197,f191]) ).
fof(f197,axiom,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk2,sk5) ),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',co1_12) ).
fof(f279,plain,
( ~ spl0_5
| ~ spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f213,f276,f256,f241]) ).
fof(f213,plain,
( segmentP(sk5,sk3)
| ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(forward_demodulation,[],[f212,f191]) ).
fof(f212,plain,
( ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3)
| segmentP(sk5,sk1) ),
inference(forward_demodulation,[],[f211,f190]) ).
fof(f211,plain,
( ~ segmentP(sk2,sk3)
| ~ totalorderedP(sk3)
| segmentP(sk5,sk1) ),
inference(forward_demodulation,[],[f210,f191]) ).
fof(f210,plain,
( ~ totalorderedP(sk3)
| ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1) ),
inference(forward_demodulation,[],[f198,f191]) ).
fof(f198,axiom,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1) ),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',co1_13) ).
fof(f274,plain,
( ~ spl0_5
| ~ spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f209,f271,f256,f241]) ).
fof(f209,plain,
( neq(sk3,sk5)
| ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(forward_demodulation,[],[f208,f191]) ).
fof(f208,plain,
( ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3)
| neq(sk1,sk5) ),
inference(forward_demodulation,[],[f207,f190]) ).
fof(f207,plain,
( ~ segmentP(sk2,sk3)
| ~ totalorderedP(sk3)
| neq(sk1,sk5) ),
inference(forward_demodulation,[],[f206,f191]) ).
fof(f206,plain,
( ~ totalorderedP(sk3)
| ~ segmentP(sk2,sk1)
| neq(sk1,sk5) ),
inference(forward_demodulation,[],[f196,f191]) ).
fof(f196,axiom,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| neq(sk1,sk5) ),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',co1_11) ).
fof(f269,plain,
( spl0_10
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f205,f256,f241,f266]) ).
fof(f205,plain,
( ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3)
| ssList(sk5) ),
inference(forward_demodulation,[],[f204,f190]) ).
fof(f204,plain,
( ~ segmentP(sk2,sk3)
| ~ totalorderedP(sk3)
| ssList(sk5) ),
inference(forward_demodulation,[],[f203,f191]) ).
fof(f203,plain,
( ~ totalorderedP(sk3)
| ssList(sk5)
| ~ segmentP(sk2,sk1) ),
inference(forward_demodulation,[],[f195,f191]) ).
fof(f195,axiom,
( ~ totalorderedP(sk1)
| ssList(sk5)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',co1_10) ).
fof(f264,plain,
( spl0_9
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f202,f256,f241,f261]) ).
fof(f202,plain,
( ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3)
| totalorderedP(sk5) ),
inference(forward_demodulation,[],[f201,f190]) ).
fof(f201,plain,
( ~ segmentP(sk2,sk3)
| ~ totalorderedP(sk3)
| totalorderedP(sk5) ),
inference(forward_demodulation,[],[f200,f191]) ).
fof(f200,plain,
( ~ totalorderedP(sk3)
| totalorderedP(sk5)
| ~ segmentP(sk2,sk1) ),
inference(forward_demodulation,[],[f199,f191]) ).
fof(f199,axiom,
( ~ totalorderedP(sk1)
| totalorderedP(sk5)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',co1_14) ).
fof(f259,plain,
spl0_8,
inference(avatar_split_clause,[],[f192,f256]) ).
fof(f192,axiom,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',co1_7) ).
fof(f254,plain,
spl0_7,
inference(avatar_split_clause,[],[f191,f251]) ).
fof(f251,plain,
( spl0_7
<=> sk1 = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f249,plain,
spl0_6,
inference(avatar_split_clause,[],[f190,f246]) ).
fof(f246,plain,
( spl0_6
<=> sk2 = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f244,plain,
spl0_5,
inference(avatar_split_clause,[],[f193,f241]) ).
fof(f193,axiom,
totalorderedP(sk3),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',co1_8) ).
fof(f239,plain,
spl0_4,
inference(avatar_split_clause,[],[f189,f236]) ).
fof(f236,plain,
( spl0_4
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',co1_4) ).
fof(f234,plain,
spl0_3,
inference(avatar_split_clause,[],[f188,f231]) ).
fof(f231,plain,
( spl0_3
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',co1_3) ).
fof(f228,plain,
spl0_2,
inference(avatar_split_clause,[],[f187,f225]) ).
fof(f225,plain,
( spl0_2
<=> ssList(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',co1_2) ).
fof(f222,plain,
spl0_1,
inference(avatar_split_clause,[],[f186,f219]) ).
fof(f219,plain,
( spl0_1
<=> ssList(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/tmp/tmp.FgpTIr1IKU/Vampire---4.8_4816',co1_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC333-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n026.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Aug 30 17:34:51 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.43 % (5031)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (5060)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.23/0.44 % (5054)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.44 % (5055)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.44 % (5057)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.44 % (5056)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.23/0.44 % (5058)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.23/0.44 % (5059)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.23/0.45 % (5058)First to succeed.
% 0.23/0.45 TRYING [1]
% 0.23/0.45 TRYING [2]
% 0.23/0.45 % (5058)Refutation found. Thanks to Tanya!
% 0.23/0.45 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.45 % (5058)------------------------------
% 0.23/0.45 % (5058)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.45 % (5058)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.45 % (5058)Termination reason: Refutation
% 0.23/0.45
% 0.23/0.45 % (5058)Memory used [KB]: 5756
% 0.23/0.45 % (5058)Time elapsed: 0.010 s
% 0.23/0.45 % (5058)------------------------------
% 0.23/0.45 % (5058)------------------------------
% 0.23/0.45 % (5031)Success in time 0.075 s
% 0.23/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------