TSTP Solution File: SWC044-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC044-1 : 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 : n012.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 04:41:03 EDT 2024
% Result : Unsatisfiable 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 120
% Syntax : Number of formulae : 229 ( 104 unt; 0 def)
% Number of atoms : 438 ( 70 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 358 ( 149 ~; 149 |; 0 &)
% ( 60 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 76 ( 74 usr; 61 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 7 con; 0-2 aty)
% Number of variables : 126 ( 126 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f560,plain,
$false,
inference(avatar_sat_refutation,[],[f285,f290,f295,f300,f305,f310,f315,f320,f325,f330,f335,f340,f344,f348,f352,f356,f360,f364,f368,f372,f376,f380,f384,f388,f392,f400,f404,f408,f412,f416,f423,f435,f440,f444,f449,f453,f457,f461,f465,f469,f473,f484,f488,f492,f496,f500,f504,f508,f512,f516,f522,f526,f530,f534,f538,f542,f546,f550,f554,f558,f559]) ).
fof(f559,plain,
( spl0_12
| ~ spl0_2
| ~ spl0_11
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f424,f402,f332,f287,f337]) ).
fof(f337,plain,
( spl0_12
<=> sk3 = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f287,plain,
( spl0_2
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f332,plain,
( spl0_11
<=> rearsegP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f402,plain,
( spl0_27
<=> ! [X0] :
( ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| sk4 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f424,plain,
( ~ ssList(sk3)
| sk3 = sk4
| ~ spl0_11
| ~ spl0_27 ),
inference(resolution,[],[f403,f334]) ).
fof(f334,plain,
( rearsegP(sk4,sk3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f403,plain,
( ! [X0] :
( ~ rearsegP(sk4,X0)
| ~ ssList(X0)
| sk4 = X0 )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f558,plain,
spl0_60,
inference(avatar_split_clause,[],[f29,f556]) ).
fof(f556,plain,
( spl0_60
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f554,plain,
spl0_59,
inference(avatar_split_clause,[],[f28,f552]) ).
fof(f552,plain,
( spl0_59
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f550,plain,
spl0_58,
inference(avatar_split_clause,[],[f27,f548]) ).
fof(f548,plain,
( spl0_58
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f546,plain,
spl0_57,
inference(avatar_split_clause,[],[f26,f544]) ).
fof(f544,plain,
( spl0_57
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f542,plain,
spl0_56,
inference(avatar_split_clause,[],[f25,f540]) ).
fof(f540,plain,
( spl0_56
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f538,plain,
spl0_55,
inference(avatar_split_clause,[],[f24,f536]) ).
fof(f536,plain,
( spl0_55
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
fof(f534,plain,
spl0_54,
inference(avatar_split_clause,[],[f23,f532]) ).
fof(f532,plain,
( spl0_54
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
fof(f530,plain,
spl0_53,
inference(avatar_split_clause,[],[f22,f528]) ).
fof(f528,plain,
( spl0_53
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f526,plain,
spl0_52,
inference(avatar_split_clause,[],[f21,f524]) ).
fof(f524,plain,
( spl0_52
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
fof(f522,plain,
spl0_51,
inference(avatar_split_clause,[],[f20,f520]) ).
fof(f520,plain,
( spl0_51
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f516,plain,
spl0_50,
inference(avatar_split_clause,[],[f19,f514]) ).
fof(f514,plain,
( spl0_50
<=> ! [X0] : ssList(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f512,plain,
spl0_49,
inference(avatar_split_clause,[],[f18,f510]) ).
fof(f510,plain,
( spl0_49
<=> ! [X0] : ssList(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f508,plain,
spl0_48,
inference(avatar_split_clause,[],[f17,f506]) ).
fof(f506,plain,
( spl0_48
<=> ! [X0] : ssItem(skaf78(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f504,plain,
spl0_47,
inference(avatar_split_clause,[],[f16,f502]) ).
fof(f502,plain,
( spl0_47
<=> ! [X0] : ssItem(skaf79(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f500,plain,
spl0_46,
inference(avatar_split_clause,[],[f15,f498]) ).
fof(f498,plain,
( spl0_46
<=> ! [X0] : ssList(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f496,plain,
spl0_45,
inference(avatar_split_clause,[],[f14,f494]) ).
fof(f494,plain,
( spl0_45
<=> ! [X0] : ssList(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f492,plain,
spl0_44,
inference(avatar_split_clause,[],[f13,f490]) ).
fof(f490,plain,
( spl0_44
<=> ! [X0] : ssList(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f488,plain,
spl0_43,
inference(avatar_split_clause,[],[f12,f486]) ).
fof(f486,plain,
( spl0_43
<=> ! [X0] : ssItem(skaf83(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f484,plain,
( spl0_42
| ~ spl0_2
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f396,f390,f287,f481]) ).
fof(f481,plain,
( spl0_42
<=> sk3 = app(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f390,plain,
( spl0_25
<=> ! [X0] :
( ~ ssList(X0)
| app(sk4,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f396,plain,
( sk3 = app(sk4,sk3)
| ~ spl0_2
| ~ spl0_25 ),
inference(resolution,[],[f391,f289]) ).
fof(f289,plain,
( ssList(sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f391,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sk4,X0) = X0 )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f473,plain,
spl0_41,
inference(avatar_split_clause,[],[f240,f471]) ).
fof(f471,plain,
( spl0_41
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| sk4 = X1
| app(X0,X1) != sk4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f240,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| sk4 = X1
| app(X0,X1) != sk4 ),
inference(definition_unfolding,[],[f119,f195,f195]) ).
fof(f195,plain,
nil = sk4,
inference(definition_unfolding,[],[f190,f191]) ).
fof(f191,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
nil = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f119,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f469,plain,
spl0_40,
inference(avatar_split_clause,[],[f239,f467]) ).
fof(f467,plain,
( spl0_40
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| sk4 = X0
| app(X0,X1) != sk4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f239,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| sk4 = X0
| app(X0,X1) != sk4 ),
inference(definition_unfolding,[],[f118,f195,f195]) ).
fof(f118,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f465,plain,
spl0_39,
inference(avatar_split_clause,[],[f235,f463]) ).
fof(f463,plain,
( spl0_39
<=> ! [X0] :
( ~ ssList(X0)
| sk4 = X0
| cons(hd(X0),tl(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f235,plain,
! [X0] :
( ~ ssList(X0)
| sk4 = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(definition_unfolding,[],[f104,f195]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f461,plain,
spl0_38,
inference(avatar_split_clause,[],[f234,f459]) ).
fof(f459,plain,
( spl0_38
<=> ! [X0] :
( ~ ssList(X0)
| sk4 = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f234,plain,
! [X0] :
( ~ ssList(X0)
| sk4 = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
inference(definition_unfolding,[],[f109,f195]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f457,plain,
spl0_37,
inference(avatar_split_clause,[],[f256,f455]) ).
fof(f455,plain,
( spl0_37
<=> ! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,sk4))
| singletonP(cons(X0,sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f256,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,sk4))
| singletonP(cons(X0,sk4)) ),
inference(equality_resolution,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,sk4) != X1 ),
inference(definition_unfolding,[],[f116,f195]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f453,plain,
spl0_36,
inference(avatar_split_clause,[],[f221,f451]) ).
fof(f451,plain,
( spl0_36
<=> ! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),sk4) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f221,plain,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),sk4) = X0 ),
inference(definition_unfolding,[],[f101,f195]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f449,plain,
( spl0_35
| ~ spl0_2
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f394,f386,f287,f446]) ).
fof(f446,plain,
( spl0_35
<=> sk3 = app(sk3,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f386,plain,
( spl0_24
<=> ! [X0] :
( ~ ssList(X0)
| app(X0,sk4) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f394,plain,
( sk3 = app(sk3,sk4)
| ~ spl0_2
| ~ spl0_24 ),
inference(resolution,[],[f387,f289]) ).
fof(f387,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,sk4) = X0 )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f444,plain,
spl0_34,
inference(avatar_split_clause,[],[f222,f442]) ).
fof(f442,plain,
( spl0_34
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != sk4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f222,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != sk4 ),
inference(definition_unfolding,[],[f98,f195]) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f440,plain,
spl0_33,
inference(avatar_split_clause,[],[f10,f437]) ).
fof(f437,plain,
( spl0_33
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f435,plain,
spl0_32,
inference(avatar_split_clause,[],[f9,f432]) ).
fof(f432,plain,
( spl0_32
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f423,plain,
( spl0_31
| ~ spl0_1
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f393,f386,f282,f420]) ).
fof(f420,plain,
( spl0_31
<=> sk4 = app(sk4,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f282,plain,
( spl0_1
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f393,plain,
( sk4 = app(sk4,sk4)
| ~ spl0_1
| ~ spl0_24 ),
inference(resolution,[],[f387,f284]) ).
fof(f284,plain,
( ssList(sk4)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f416,plain,
spl0_30,
inference(avatar_split_clause,[],[f232,f414]) ).
fof(f414,plain,
( spl0_30
<=> ! [X0] :
( ~ ssList(X0)
| sk4 = X0
| ssList(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f232,plain,
! [X0] :
( ~ ssList(X0)
| sk4 = X0
| ssList(tl(X0)) ),
inference(definition_unfolding,[],[f75,f195]) ).
fof(f75,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f412,plain,
spl0_29,
inference(avatar_split_clause,[],[f230,f410]) ).
fof(f410,plain,
( spl0_29
<=> ! [X0] :
( ~ ssList(X0)
| sk4 = X0
| ssItem(hd(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f230,plain,
! [X0] :
( ~ ssList(X0)
| sk4 = X0
| ssItem(hd(X0)) ),
inference(definition_unfolding,[],[f76,f195]) ).
fof(f76,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f408,plain,
spl0_28,
inference(avatar_split_clause,[],[f229,f406]) ).
fof(f406,plain,
( spl0_28
<=> ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| sk4 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f229,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| sk4 = X0 ),
inference(definition_unfolding,[],[f84,f195,f195]) ).
fof(f84,axiom,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f404,plain,
spl0_27,
inference(avatar_split_clause,[],[f228,f402]) ).
fof(f228,plain,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(sk4,X0)
| sk4 = X0 ),
inference(definition_unfolding,[],[f82,f195,f195]) ).
fof(f82,axiom,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f400,plain,
spl0_26,
inference(avatar_split_clause,[],[f227,f398]) ).
fof(f398,plain,
( spl0_26
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| sk4 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f227,plain,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| sk4 = X0 ),
inference(definition_unfolding,[],[f80,f195,f195]) ).
fof(f80,axiom,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f392,plain,
spl0_25,
inference(avatar_split_clause,[],[f220,f390]) ).
fof(f220,plain,
! [X0] :
( ~ ssList(X0)
| app(sk4,X0) = X0 ),
inference(definition_unfolding,[],[f74,f195]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f388,plain,
spl0_24,
inference(avatar_split_clause,[],[f219,f386]) ).
fof(f219,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,sk4) = X0 ),
inference(definition_unfolding,[],[f73,f195]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f384,plain,
spl0_23,
inference(avatar_split_clause,[],[f215,f382]) ).
fof(f382,plain,
( spl0_23
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f215,plain,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,sk4)) ),
inference(definition_unfolding,[],[f67,f195]) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f380,plain,
spl0_22,
inference(avatar_split_clause,[],[f214,f378]) ).
fof(f378,plain,
( spl0_22
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f214,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,sk4)) ),
inference(definition_unfolding,[],[f66,f195]) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f376,plain,
spl0_21,
inference(avatar_split_clause,[],[f213,f374]) ).
fof(f374,plain,
( spl0_21
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f213,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,sk4)) ),
inference(definition_unfolding,[],[f68,f195]) ).
fof(f68,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f372,plain,
spl0_20,
inference(avatar_split_clause,[],[f212,f370]) ).
fof(f370,plain,
( spl0_20
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f212,plain,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,sk4)) ),
inference(definition_unfolding,[],[f69,f195]) ).
fof(f69,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f368,plain,
spl0_19,
inference(avatar_split_clause,[],[f211,f366]) ).
fof(f366,plain,
( spl0_19
<=> ! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f211,plain,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,sk4)) ),
inference(definition_unfolding,[],[f70,f195]) ).
fof(f70,axiom,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f364,plain,
spl0_18,
inference(avatar_split_clause,[],[f210,f362]) ).
fof(f362,plain,
( spl0_18
<=> ! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f210,plain,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,sk4)) ),
inference(definition_unfolding,[],[f65,f195]) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f360,plain,
spl0_17,
inference(avatar_split_clause,[],[f209,f358]) ).
fof(f358,plain,
( spl0_17
<=> ! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f209,plain,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,sk4)) ),
inference(definition_unfolding,[],[f64,f195]) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f356,plain,
spl0_16,
inference(avatar_split_clause,[],[f218,f354]) ).
fof(f354,plain,
( spl0_16
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f218,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,sk4) ),
inference(definition_unfolding,[],[f56,f195]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f352,plain,
spl0_15,
inference(avatar_split_clause,[],[f217,f350]) ).
fof(f350,plain,
( spl0_15
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f217,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,sk4) ),
inference(definition_unfolding,[],[f60,f195]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f348,plain,
spl0_14,
inference(avatar_split_clause,[],[f216,f346]) ).
fof(f346,plain,
( spl0_14
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f216,plain,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,sk4) ),
inference(definition_unfolding,[],[f58,f195]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f344,plain,
spl0_13,
inference(avatar_split_clause,[],[f208,f342]) ).
fof(f342,plain,
( spl0_13
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f208,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(definition_unfolding,[],[f71,f195]) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f340,plain,
~ spl0_12,
inference(avatar_split_clause,[],[f198,f337]) ).
fof(f198,plain,
sk3 != sk4,
inference(definition_unfolding,[],[f194,f195,f192]) ).
fof(f192,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f194,axiom,
nil != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f335,plain,
spl0_11,
inference(avatar_split_clause,[],[f193,f332]) ).
fof(f193,axiom,
rearsegP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f330,plain,
spl0_10,
inference(avatar_split_clause,[],[f206,f327]) ).
fof(f327,plain,
( spl0_10
<=> strictorderedP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f206,plain,
strictorderedP(sk4),
inference(definition_unfolding,[],[f3,f195]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f325,plain,
spl0_9,
inference(avatar_split_clause,[],[f205,f322]) ).
fof(f322,plain,
( spl0_9
<=> totalorderedP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f205,plain,
totalorderedP(sk4),
inference(definition_unfolding,[],[f4,f195]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f320,plain,
spl0_8,
inference(avatar_split_clause,[],[f204,f317]) ).
fof(f317,plain,
( spl0_8
<=> strictorderP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f204,plain,
strictorderP(sk4),
inference(definition_unfolding,[],[f5,f195]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f315,plain,
spl0_7,
inference(avatar_split_clause,[],[f203,f312]) ).
fof(f312,plain,
( spl0_7
<=> totalorderP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f203,plain,
totalorderP(sk4),
inference(definition_unfolding,[],[f6,f195]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f310,plain,
spl0_6,
inference(avatar_split_clause,[],[f202,f307]) ).
fof(f307,plain,
( spl0_6
<=> cyclefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f202,plain,
cyclefreeP(sk4),
inference(definition_unfolding,[],[f7,f195]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f305,plain,
spl0_5,
inference(avatar_split_clause,[],[f201,f302]) ).
fof(f302,plain,
( spl0_5
<=> equalelemsP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f201,plain,
equalelemsP(sk4),
inference(definition_unfolding,[],[f1,f195]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f300,plain,
spl0_4,
inference(avatar_split_clause,[],[f200,f297]) ).
fof(f297,plain,
( spl0_4
<=> duplicatefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f200,plain,
duplicatefreeP(sk4),
inference(definition_unfolding,[],[f2,f195]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f295,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f199,f292]) ).
fof(f292,plain,
( spl0_3
<=> singletonP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f199,plain,
~ singletonP(sk4),
inference(definition_unfolding,[],[f11,f195]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f290,plain,
spl0_2,
inference(avatar_split_clause,[],[f196,f287]) ).
fof(f196,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f192]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f285,plain,
spl0_1,
inference(avatar_split_clause,[],[f189,f282]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC044-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 03:41:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (7639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38 % (7642)WARNING: value z3 for option sas not known
% 0.20/0.38 % (7640)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 % (7641)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 % (7642)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)
% 0.20/0.38 % (7644)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)
% 0.20/0.38 % (7643)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38 % (7645)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)
% 0.20/0.38 % (7646)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)
% 0.20/0.39 % (7644)First to succeed.
% 0.20/0.39 % (7645)Also succeeded, but the first one will report.
% 0.20/0.39 % (7644)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7639"
% 0.20/0.39 TRYING [1]
% 0.20/0.39 % (7644)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39 % (7644)------------------------------
% 0.20/0.39 % (7644)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.39 % (7644)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (7644)Memory used [KB]: 1126
% 0.20/0.39 % (7644)Time elapsed: 0.012 s
% 0.20/0.39 % (7644)Instructions burned: 16 (million)
% 0.20/0.39 % (7639)Success in time 0.031 s
%------------------------------------------------------------------------------