TSTP Solution File: SWC095-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC095-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 May 21 04:47:09 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 144
% Syntax : Number of formulae : 225 ( 135 unt; 0 def)
% Number of atoms : 360 ( 22 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 214 ( 79 ~; 64 |; 0 &)
% ( 71 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 89 ( 87 usr; 72 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 10 con; 0-2 aty)
% Number of variables : 126 ( 126 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f541,plain,
$false,
inference(avatar_sat_refutation,[],[f235,f240,f245,f250,f255,f260,f265,f270,f275,f280,f285,f290,f295,f300,f305,f310,f315,f320,f324,f328,f332,f336,f340,f344,f348,f352,f356,f360,f364,f368,f372,f376,f380,f384,f388,f392,f396,f400,f404,f408,f412,f416,f420,f424,f428,f432,f436,f440,f444,f448,f452,f456,f460,f464,f469,f473,f477,f481,f485,f489,f493,f497,f507,f511,f515,f519,f523,f527,f531,f535,f539,f540]) ).
fof(f540,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f503,f495,f262,f257,f247,f252,f242]) ).
fof(f242,plain,
( spl0_3
<=> ssList(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f252,plain,
( spl0_5
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f247,plain,
( spl0_4
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f257,plain,
( spl0_6
<=> sk4 = app(sk5,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f262,plain,
( spl0_7
<=> sk3 = app(app(sk5,sk6),sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f495,plain,
( spl0_62
<=> ! [X6,X7,X8] :
( ~ ssList(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| sk4 != app(X6,X8)
| sk3 != app(app(X6,X7),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f503,plain,
( ~ ssList(sk6)
| ~ ssList(sk7)
| ~ ssList(sk5)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f502]) ).
fof(f502,plain,
( sk4 != sk4
| ~ ssList(sk6)
| ~ ssList(sk7)
| ~ ssList(sk5)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_62 ),
inference(forward_demodulation,[],[f501,f259]) ).
fof(f259,plain,
( sk4 = app(sk5,sk7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f501,plain,
( ~ ssList(sk6)
| ~ ssList(sk7)
| sk4 != app(sk5,sk7)
| ~ ssList(sk5)
| ~ spl0_7
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f500]) ).
fof(f500,plain,
( sk3 != sk3
| ~ ssList(sk6)
| ~ ssList(sk7)
| sk4 != app(sk5,sk7)
| ~ ssList(sk5)
| ~ spl0_7
| ~ spl0_62 ),
inference(superposition,[],[f496,f264]) ).
fof(f264,plain,
( sk3 = app(app(sk5,sk6),sk7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f496,plain,
( ! [X8,X6,X7] :
( sk3 != app(app(X6,X7),X8)
| ~ ssList(X7)
| ~ ssList(X8)
| sk4 != app(X6,X8)
| ~ ssList(X6) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f539,plain,
spl0_71,
inference(avatar_split_clause,[],[f63,f537]) ).
fof(f537,plain,
( spl0_71
<=> ! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f63,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f535,plain,
spl0_70,
inference(avatar_split_clause,[],[f62,f533]) ).
fof(f533,plain,
( spl0_70
<=> ! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f62,axiom,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f531,plain,
spl0_69,
inference(avatar_split_clause,[],[f61,f529]) ).
fof(f529,plain,
( spl0_69
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f527,plain,
spl0_68,
inference(avatar_split_clause,[],[f60,f525]) ).
fof(f525,plain,
( spl0_68
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f523,plain,
spl0_67,
inference(avatar_split_clause,[],[f59,f521]) ).
fof(f521,plain,
( spl0_67
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f59,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f519,plain,
spl0_66,
inference(avatar_split_clause,[],[f58,f517]) ).
fof(f517,plain,
( spl0_66
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f515,plain,
spl0_65,
inference(avatar_split_clause,[],[f57,f513]) ).
fof(f513,plain,
( spl0_65
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f511,plain,
spl0_64,
inference(avatar_split_clause,[],[f56,f509]) ).
fof(f509,plain,
( spl0_64
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f507,plain,
spl0_63,
inference(avatar_split_clause,[],[f55,f505]) ).
fof(f505,plain,
( spl0_63
<=> ! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f55,axiom,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f497,plain,
spl0_62,
inference(avatar_split_clause,[],[f200,f495]) ).
fof(f200,plain,
! [X8,X6,X7] :
( ~ ssList(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| sk4 != app(X6,X8)
| sk3 != app(app(X6,X7),X8) ),
inference(definition_unfolding,[],[f192,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f192,axiom,
! [X8,X6,X7] :
( ~ ssList(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| sk2 != app(X6,X8)
| sk1 != app(app(X6,X7),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f493,plain,
spl0_61,
inference(avatar_split_clause,[],[f53,f491]) ).
fof(f491,plain,
( spl0_61
<=> ! [X0,X1] : ssList(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f489,plain,
spl0_60,
inference(avatar_split_clause,[],[f52,f487]) ).
fof(f487,plain,
( spl0_60
<=> ! [X0,X1] : ssList(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f485,plain,
spl0_59,
inference(avatar_split_clause,[],[f51,f483]) ).
fof(f483,plain,
( spl0_59
<=> ! [X0,X1] : ssList(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f481,plain,
spl0_58,
inference(avatar_split_clause,[],[f50,f479]) ).
fof(f479,plain,
( spl0_58
<=> ! [X0,X1] : ssList(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f477,plain,
spl0_57,
inference(avatar_split_clause,[],[f49,f475]) ).
fof(f475,plain,
( spl0_57
<=> ! [X0,X1] : ssList(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f473,plain,
spl0_56,
inference(avatar_split_clause,[],[f48,f471]) ).
fof(f471,plain,
( spl0_56
<=> ! [X0,X1] : ssList(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f469,plain,
~ spl0_55,
inference(avatar_split_clause,[],[f54,f466]) ).
fof(f466,plain,
( spl0_55
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f464,plain,
spl0_54,
inference(avatar_split_clause,[],[f47,f462]) ).
fof(f462,plain,
( spl0_54
<=> ! [X0] : ssItem(skaf44(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f460,plain,
spl0_53,
inference(avatar_split_clause,[],[f46,f458]) ).
fof(f458,plain,
( spl0_53
<=> ! [X0] : ssItem(skaf49(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f456,plain,
spl0_52,
inference(avatar_split_clause,[],[f45,f454]) ).
fof(f454,plain,
( spl0_52
<=> ! [X0] : ssItem(skaf50(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f452,plain,
spl0_51,
inference(avatar_split_clause,[],[f44,f450]) ).
fof(f450,plain,
( spl0_51
<=> ! [X0] : ssList(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f448,plain,
spl0_50,
inference(avatar_split_clause,[],[f43,f446]) ).
fof(f446,plain,
( spl0_50
<=> ! [X0] : ssList(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f444,plain,
spl0_49,
inference(avatar_split_clause,[],[f42,f442]) ).
fof(f442,plain,
( spl0_49
<=> ! [X0] : ssList(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f440,plain,
spl0_48,
inference(avatar_split_clause,[],[f41,f438]) ).
fof(f438,plain,
( spl0_48
<=> ! [X0] : ssItem(skaf54(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f436,plain,
spl0_47,
inference(avatar_split_clause,[],[f40,f434]) ).
fof(f434,plain,
( spl0_47
<=> ! [X0] : ssItem(skaf55(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f432,plain,
spl0_46,
inference(avatar_split_clause,[],[f39,f430]) ).
fof(f430,plain,
( spl0_46
<=> ! [X0] : ssList(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f428,plain,
spl0_45,
inference(avatar_split_clause,[],[f38,f426]) ).
fof(f426,plain,
( spl0_45
<=> ! [X0] : ssList(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f424,plain,
spl0_44,
inference(avatar_split_clause,[],[f37,f422]) ).
fof(f422,plain,
( spl0_44
<=> ! [X0] : ssList(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f420,plain,
spl0_43,
inference(avatar_split_clause,[],[f36,f418]) ).
fof(f418,plain,
( spl0_43
<=> ! [X0] : ssItem(skaf59(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f416,plain,
spl0_42,
inference(avatar_split_clause,[],[f35,f414]) ).
fof(f414,plain,
( spl0_42
<=> ! [X0] : ssItem(skaf60(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f412,plain,
spl0_41,
inference(avatar_split_clause,[],[f34,f410]) ).
fof(f410,plain,
( spl0_41
<=> ! [X0] : ssList(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f408,plain,
spl0_40,
inference(avatar_split_clause,[],[f33,f406]) ).
fof(f406,plain,
( spl0_40
<=> ! [X0] : ssList(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f404,plain,
spl0_39,
inference(avatar_split_clause,[],[f32,f402]) ).
fof(f402,plain,
( spl0_39
<=> ! [X0] : ssList(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f400,plain,
spl0_38,
inference(avatar_split_clause,[],[f31,f398]) ).
fof(f398,plain,
( spl0_38
<=> ! [X0] : ssItem(skaf64(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f396,plain,
spl0_37,
inference(avatar_split_clause,[],[f30,f394]) ).
fof(f394,plain,
( spl0_37
<=> ! [X0] : ssItem(skaf65(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f392,plain,
spl0_36,
inference(avatar_split_clause,[],[f29,f390]) ).
fof(f390,plain,
( spl0_36
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f388,plain,
spl0_35,
inference(avatar_split_clause,[],[f28,f386]) ).
fof(f386,plain,
( spl0_35
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f384,plain,
spl0_34,
inference(avatar_split_clause,[],[f27,f382]) ).
fof(f382,plain,
( spl0_34
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f380,plain,
spl0_33,
inference(avatar_split_clause,[],[f26,f378]) ).
fof(f378,plain,
( spl0_33
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f376,plain,
spl0_32,
inference(avatar_split_clause,[],[f25,f374]) ).
fof(f374,plain,
( spl0_32
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f372,plain,
spl0_31,
inference(avatar_split_clause,[],[f24,f370]) ).
fof(f370,plain,
( spl0_31
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
fof(f368,plain,
spl0_30,
inference(avatar_split_clause,[],[f23,f366]) ).
fof(f366,plain,
( spl0_30
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
fof(f364,plain,
spl0_29,
inference(avatar_split_clause,[],[f22,f362]) ).
fof(f362,plain,
( spl0_29
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f360,plain,
spl0_28,
inference(avatar_split_clause,[],[f21,f358]) ).
fof(f358,plain,
( spl0_28
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
fof(f356,plain,
spl0_27,
inference(avatar_split_clause,[],[f20,f354]) ).
fof(f354,plain,
( spl0_27
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f352,plain,
spl0_26,
inference(avatar_split_clause,[],[f19,f350]) ).
fof(f350,plain,
( spl0_26
<=> ! [X0] : ssList(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f348,plain,
spl0_25,
inference(avatar_split_clause,[],[f18,f346]) ).
fof(f346,plain,
( spl0_25
<=> ! [X0] : ssList(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f344,plain,
spl0_24,
inference(avatar_split_clause,[],[f17,f342]) ).
fof(f342,plain,
( spl0_24
<=> ! [X0] : ssItem(skaf78(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f340,plain,
spl0_23,
inference(avatar_split_clause,[],[f16,f338]) ).
fof(f338,plain,
( spl0_23
<=> ! [X0] : ssItem(skaf79(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f336,plain,
spl0_22,
inference(avatar_split_clause,[],[f15,f334]) ).
fof(f334,plain,
( spl0_22
<=> ! [X0] : ssList(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f332,plain,
spl0_21,
inference(avatar_split_clause,[],[f14,f330]) ).
fof(f330,plain,
( spl0_21
<=> ! [X0] : ssList(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f328,plain,
spl0_20,
inference(avatar_split_clause,[],[f13,f326]) ).
fof(f326,plain,
( spl0_20
<=> ! [X0] : ssList(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f324,plain,
spl0_19,
inference(avatar_split_clause,[],[f12,f322]) ).
fof(f322,plain,
( spl0_19
<=> ! [X0] : ssItem(skaf83(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f320,plain,
~ spl0_18,
inference(avatar_split_clause,[],[f11,f317]) ).
fof(f317,plain,
( spl0_18
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f315,plain,
spl0_17,
inference(avatar_split_clause,[],[f10,f312]) ).
fof(f312,plain,
( spl0_17
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f310,plain,
spl0_16,
inference(avatar_split_clause,[],[f9,f307]) ).
fof(f307,plain,
( spl0_16
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f305,plain,
spl0_15,
inference(avatar_split_clause,[],[f8,f302]) ).
fof(f302,plain,
( spl0_15
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f300,plain,
spl0_14,
inference(avatar_split_clause,[],[f7,f297]) ).
fof(f297,plain,
( spl0_14
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f295,plain,
spl0_13,
inference(avatar_split_clause,[],[f6,f292]) ).
fof(f292,plain,
( spl0_13
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f290,plain,
spl0_12,
inference(avatar_split_clause,[],[f5,f287]) ).
fof(f287,plain,
( spl0_12
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f285,plain,
spl0_11,
inference(avatar_split_clause,[],[f4,f282]) ).
fof(f282,plain,
( spl0_11
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f280,plain,
spl0_10,
inference(avatar_split_clause,[],[f3,f277]) ).
fof(f277,plain,
( spl0_10
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f275,plain,
spl0_9,
inference(avatar_split_clause,[],[f2,f272]) ).
fof(f272,plain,
( spl0_9
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f270,plain,
spl0_8,
inference(avatar_split_clause,[],[f1,f267]) ).
fof(f267,plain,
( spl0_8
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f265,plain,
spl0_7,
inference(avatar_split_clause,[],[f196,f262]) ).
fof(f196,axiom,
sk3 = app(app(sk5,sk6),sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f260,plain,
spl0_6,
inference(avatar_split_clause,[],[f197,f257]) ).
fof(f197,axiom,
sk4 = app(sk5,sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f255,plain,
spl0_5,
inference(avatar_split_clause,[],[f195,f252]) ).
fof(f195,axiom,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f250,plain,
spl0_4,
inference(avatar_split_clause,[],[f194,f247]) ).
fof(f194,axiom,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f245,plain,
spl0_3,
inference(avatar_split_clause,[],[f193,f242]) ).
fof(f193,axiom,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f240,plain,
spl0_2,
inference(avatar_split_clause,[],[f189,f237]) ).
fof(f237,plain,
( spl0_2
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f235,plain,
spl0_1,
inference(avatar_split_clause,[],[f188,f232]) ).
fof(f232,plain,
( spl0_1
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC095-1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 02:54:38 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (2992)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (2995)WARNING: value z3 for option sas not known
% 0.14/0.37 % (2996)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (2993)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (2998)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)
% 0.14/0.37 % (2995)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)
% 0.14/0.37 % (2997)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)
% 0.14/0.37 % (2999)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)
% 0.14/0.38 % (2997)First to succeed.
% 0.14/0.38 % (2994)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (2997)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2992"
% 0.14/0.38 % (2997)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (2997)------------------------------
% 0.14/0.38 % (2997)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (2997)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (2997)Memory used [KB]: 1109
% 0.14/0.38 % (2997)Time elapsed: 0.010 s
% 0.14/0.38 % (2997)Instructions burned: 16 (million)
% 0.14/0.38 % (2992)Success in time 0.013 s
%------------------------------------------------------------------------------