TSTP Solution File: SWC082-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC082-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 : Tue Apr 30 15:51:19 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 113
% Syntax : Number of formulae : 180 ( 103 unt; 0 def)
% Number of atoms : 279 ( 8 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 151 ( 52 ~; 42 |; 0 &)
% ( 57 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 71 ( 69 usr; 58 prp; 0-2 aty)
% Number of functors : 42 ( 42 usr; 8 con; 0-1 aty)
% Number of variables : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f485,plain,
$false,
inference(avatar_sat_refutation,[],[f238,f243,f248,f253,f258,f263,f268,f277,f282,f287,f292,f297,f302,f307,f312,f317,f322,f327,f332,f336,f342,f346,f350,f354,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,f484]) ).
fof(f484,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f338,f334,f255,f250,f265,f260]) ).
fof(f260,plain,
( spl0_6
<=> segmentP(sk4,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f265,plain,
( spl0_7
<=> segmentP(sk3,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f250,plain,
( spl0_4
<=> ssList(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f255,plain,
( spl0_5
<=> neq(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f334,plain,
( spl0_21
<=> ! [X6] :
( ~ ssList(X6)
| ~ neq(X6,nil)
| ~ segmentP(sk3,X6)
| ~ segmentP(sk4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f338,plain,
( ~ ssList(sk5)
| ~ segmentP(sk3,sk5)
| ~ segmentP(sk4,sk5)
| ~ spl0_5
| ~ spl0_21 ),
inference(resolution,[],[f335,f257]) ).
fof(f257,plain,
( neq(sk5,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f335,plain,
( ! [X6] :
( ~ neq(X6,nil)
| ~ ssList(X6)
| ~ segmentP(sk3,X6)
| ~ segmentP(sk4,X6) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f483,plain,
spl0_57,
inference(avatar_split_clause,[],[f45,f481]) ).
fof(f481,plain,
( spl0_57
<=> ! [X0] : ssItem(skaf50(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f479,plain,
spl0_56,
inference(avatar_split_clause,[],[f44,f477]) ).
fof(f477,plain,
( spl0_56
<=> ! [X0] : ssList(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f475,plain,
spl0_55,
inference(avatar_split_clause,[],[f43,f473]) ).
fof(f473,plain,
( spl0_55
<=> ! [X0] : ssList(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f471,plain,
spl0_54,
inference(avatar_split_clause,[],[f42,f469]) ).
fof(f469,plain,
( spl0_54
<=> ! [X0] : ssList(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f467,plain,
spl0_53,
inference(avatar_split_clause,[],[f41,f465]) ).
fof(f465,plain,
( spl0_53
<=> ! [X0] : ssItem(skaf54(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f463,plain,
spl0_52,
inference(avatar_split_clause,[],[f40,f461]) ).
fof(f461,plain,
( spl0_52
<=> ! [X0] : ssItem(skaf55(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f459,plain,
spl0_51,
inference(avatar_split_clause,[],[f39,f457]) ).
fof(f457,plain,
( spl0_51
<=> ! [X0] : ssList(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f455,plain,
spl0_50,
inference(avatar_split_clause,[],[f38,f453]) ).
fof(f453,plain,
( spl0_50
<=> ! [X0] : ssList(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f451,plain,
spl0_49,
inference(avatar_split_clause,[],[f37,f449]) ).
fof(f449,plain,
( spl0_49
<=> ! [X0] : ssList(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f447,plain,
spl0_48,
inference(avatar_split_clause,[],[f36,f445]) ).
fof(f445,plain,
( spl0_48
<=> ! [X0] : ssItem(skaf59(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f443,plain,
spl0_47,
inference(avatar_split_clause,[],[f35,f441]) ).
fof(f441,plain,
( spl0_47
<=> ! [X0] : ssItem(skaf60(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f439,plain,
spl0_46,
inference(avatar_split_clause,[],[f34,f437]) ).
fof(f437,plain,
( spl0_46
<=> ! [X0] : ssList(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f435,plain,
spl0_45,
inference(avatar_split_clause,[],[f33,f433]) ).
fof(f433,plain,
( spl0_45
<=> ! [X0] : ssList(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f431,plain,
spl0_44,
inference(avatar_split_clause,[],[f32,f429]) ).
fof(f429,plain,
( spl0_44
<=> ! [X0] : ssList(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f427,plain,
spl0_43,
inference(avatar_split_clause,[],[f31,f425]) ).
fof(f425,plain,
( spl0_43
<=> ! [X0] : ssItem(skaf64(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f423,plain,
spl0_42,
inference(avatar_split_clause,[],[f30,f421]) ).
fof(f421,plain,
( spl0_42
<=> ! [X0] : ssItem(skaf65(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f419,plain,
spl0_41,
inference(avatar_split_clause,[],[f29,f417]) ).
fof(f417,plain,
( spl0_41
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f415,plain,
spl0_40,
inference(avatar_split_clause,[],[f28,f413]) ).
fof(f413,plain,
( spl0_40
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f411,plain,
spl0_39,
inference(avatar_split_clause,[],[f27,f409]) ).
fof(f409,plain,
( spl0_39
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f407,plain,
spl0_38,
inference(avatar_split_clause,[],[f26,f405]) ).
fof(f405,plain,
( spl0_38
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f403,plain,
spl0_37,
inference(avatar_split_clause,[],[f25,f401]) ).
fof(f401,plain,
( spl0_37
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f399,plain,
spl0_36,
inference(avatar_split_clause,[],[f24,f397]) ).
fof(f397,plain,
( spl0_36
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
fof(f395,plain,
spl0_35,
inference(avatar_split_clause,[],[f23,f393]) ).
fof(f393,plain,
( spl0_35
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
fof(f391,plain,
spl0_34,
inference(avatar_split_clause,[],[f22,f389]) ).
fof(f389,plain,
( spl0_34
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f387,plain,
spl0_33,
inference(avatar_split_clause,[],[f21,f385]) ).
fof(f385,plain,
( spl0_33
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
fof(f383,plain,
spl0_32,
inference(avatar_split_clause,[],[f20,f381]) ).
fof(f381,plain,
( spl0_32
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f379,plain,
spl0_31,
inference(avatar_split_clause,[],[f19,f377]) ).
fof(f377,plain,
( spl0_31
<=> ! [X0] : ssList(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f375,plain,
spl0_30,
inference(avatar_split_clause,[],[f18,f373]) ).
fof(f373,plain,
( spl0_30
<=> ! [X0] : ssList(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f371,plain,
spl0_29,
inference(avatar_split_clause,[],[f17,f369]) ).
fof(f369,plain,
( spl0_29
<=> ! [X0] : ssItem(skaf78(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f367,plain,
spl0_28,
inference(avatar_split_clause,[],[f16,f365]) ).
fof(f365,plain,
( spl0_28
<=> ! [X0] : ssItem(skaf79(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f363,plain,
( ~ spl0_26
| ~ spl0_27
| ~ spl0_2
| ~ spl0_3
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f337,f334,f245,f240,f360,f356]) ).
fof(f356,plain,
( spl0_26
<=> segmentP(sk4,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f360,plain,
( spl0_27
<=> segmentP(sk3,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f240,plain,
( spl0_2
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f245,plain,
( spl0_3
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f337,plain,
( ~ ssList(sk4)
| ~ segmentP(sk3,sk4)
| ~ segmentP(sk4,sk4)
| ~ spl0_3
| ~ spl0_21 ),
inference(resolution,[],[f335,f247]) ).
fof(f247,plain,
( neq(sk4,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f354,plain,
spl0_25,
inference(avatar_split_clause,[],[f15,f352]) ).
fof(f352,plain,
( spl0_25
<=> ! [X0] : ssList(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f350,plain,
spl0_24,
inference(avatar_split_clause,[],[f14,f348]) ).
fof(f348,plain,
( spl0_24
<=> ! [X0] : ssList(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f346,plain,
spl0_23,
inference(avatar_split_clause,[],[f13,f344]) ).
fof(f344,plain,
( spl0_23
<=> ! [X0] : ssList(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f342,plain,
spl0_22,
inference(avatar_split_clause,[],[f12,f340]) ).
fof(f340,plain,
( spl0_22
<=> ! [X0] : ssItem(skaf83(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f336,plain,
spl0_21,
inference(avatar_split_clause,[],[f202,f334]) ).
fof(f202,plain,
! [X6] :
( ~ ssList(X6)
| ~ neq(X6,nil)
| ~ segmentP(sk3,X6)
| ~ segmentP(sk4,X6) ),
inference(definition_unfolding,[],[f193,f191,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f193,axiom,
! [X6] :
( ~ ssList(X6)
| ~ neq(X6,nil)
| ~ segmentP(sk1,X6)
| ~ segmentP(sk2,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f332,plain,
~ spl0_20,
inference(avatar_split_clause,[],[f11,f329]) ).
fof(f329,plain,
( spl0_20
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f327,plain,
spl0_19,
inference(avatar_split_clause,[],[f10,f324]) ).
fof(f324,plain,
( spl0_19
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f322,plain,
spl0_18,
inference(avatar_split_clause,[],[f9,f319]) ).
fof(f319,plain,
( spl0_18
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f317,plain,
spl0_17,
inference(avatar_split_clause,[],[f8,f314]) ).
fof(f314,plain,
( spl0_17
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f312,plain,
spl0_16,
inference(avatar_split_clause,[],[f7,f309]) ).
fof(f309,plain,
( spl0_16
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f307,plain,
spl0_15,
inference(avatar_split_clause,[],[f6,f304]) ).
fof(f304,plain,
( spl0_15
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f302,plain,
spl0_14,
inference(avatar_split_clause,[],[f5,f299]) ).
fof(f299,plain,
( spl0_14
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f297,plain,
spl0_13,
inference(avatar_split_clause,[],[f4,f294]) ).
fof(f294,plain,
( spl0_13
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f292,plain,
spl0_12,
inference(avatar_split_clause,[],[f3,f289]) ).
fof(f289,plain,
( spl0_12
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f287,plain,
spl0_11,
inference(avatar_split_clause,[],[f2,f284]) ).
fof(f284,plain,
( spl0_11
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f282,plain,
spl0_10,
inference(avatar_split_clause,[],[f1,f279]) ).
fof(f279,plain,
( spl0_10
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f277,plain,
( spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f233,f274,f270]) ).
fof(f270,plain,
( spl0_8
<=> sk3 = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f274,plain,
( spl0_9
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f233,plain,
( nil != sk4
| sk3 = sk4 ),
inference(inner_rewriting,[],[f194]) ).
fof(f194,axiom,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f268,plain,
( spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f198,f245,f265]) ).
fof(f198,axiom,
( ~ neq(sk4,nil)
| segmentP(sk3,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f263,plain,
( spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f197,f245,f260]) ).
fof(f197,axiom,
( ~ neq(sk4,nil)
| segmentP(sk4,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f258,plain,
( spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f196,f245,f255]) ).
fof(f196,axiom,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f253,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f195,f250,f245]) ).
fof(f195,axiom,
( ssList(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f248,plain,
spl0_3,
inference(avatar_split_clause,[],[f201,f245]) ).
fof(f201,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f192,f190]) ).
fof(f192,axiom,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f243,plain,
spl0_2,
inference(avatar_split_clause,[],[f200,f240]) ).
fof(f200,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f238,plain,
spl0_1,
inference(avatar_split_clause,[],[f199,f235]) ).
fof(f235,plain,
( spl0_1
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f199,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC082-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 04:22:16 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (7666)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (7669)WARNING: value z3 for option sas not known
% 0.15/0.38 % (7668)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (7673)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 theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (7672)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 theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (7671)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 theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (7669)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 theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (7670)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (7667)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (7671)First to succeed.
% 0.15/0.39 % (7672)Also succeeded, but the first one will report.
% 0.15/0.39 % (7671)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (7671)------------------------------
% 0.15/0.40 % (7671)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.40 % (7671)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (7671)Memory used [KB]: 1083
% 0.15/0.40 % (7671)Time elapsed: 0.010 s
% 0.15/0.40 % (7671)Instructions burned: 13 (million)
% 0.15/0.40 % (7671)------------------------------
% 0.15/0.40 % (7671)------------------------------
% 0.15/0.40 % (7666)Success in time 0.021 s
%------------------------------------------------------------------------------