TSTP Solution File: SWC381-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC381-1 : 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 : n020.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 16:21:41 EDT 2024
% Result : Unsatisfiable 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 114
% Syntax : Number of formulae : 180 ( 108 unt; 0 def)
% Number of atoms : 267 ( 12 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 127 ( 40 ~; 31 |; 0 &)
% ( 56 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 70 ( 68 usr; 57 prp; 0-2 aty)
% Number of functors : 46 ( 46 usr; 8 con; 0-2 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f487,plain,
$false,
inference(avatar_sat_refutation,[],[f246,f251,f256,f261,f266,f271,f276,f281,f286,f291,f296,f301,f306,f311,f316,f321,f326,f330,f334,f338,f342,f346,f350,f354,f358,f362,f366,f370,f374,f378,f382,f386,f390,f394,f398,f402,f406,f410,f414,f418,f422,f426,f430,f434,f438,f442,f446,f450,f454,f458,f462,f466,f470,f475,f479,f485,f486]) ).
fof(f486,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_6
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f481,f477,f268,f258,f263]) ).
fof(f263,plain,
( spl0_5
<=> memberP(sk4,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f258,plain,
( spl0_4
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f268,plain,
( spl0_6
<=> sk3 = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f477,plain,
( spl0_55
<=> ! [X6] :
( ~ ssItem(X6)
| sk3 != cons(X6,nil)
| ~ memberP(sk4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f481,plain,
( ~ ssItem(sk5)
| ~ memberP(sk4,sk5)
| ~ spl0_6
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f480]) ).
fof(f480,plain,
( sk3 != sk3
| ~ ssItem(sk5)
| ~ memberP(sk4,sk5)
| ~ spl0_6
| ~ spl0_55 ),
inference(superposition,[],[f478,f270]) ).
fof(f270,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f478,plain,
( ! [X6] :
( sk3 != cons(X6,nil)
| ~ ssItem(X6)
| ~ memberP(sk4,X6) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f485,plain,
spl0_56,
inference(avatar_split_clause,[],[f48,f483]) ).
fof(f483,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/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f479,plain,
( ~ spl0_3
| spl0_55 ),
inference(avatar_split_clause,[],[f209,f477,f253]) ).
fof(f253,plain,
( spl0_3
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f209,plain,
! [X6] :
( ~ ssItem(X6)
| ~ neq(sk4,nil)
| ~ memberP(sk4,X6)
| sk3 != cons(X6,nil) ),
inference(definition_unfolding,[],[f198,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f198,axiom,
! [X6] :
( ~ ssItem(X6)
| ~ neq(sk4,nil)
| ~ memberP(sk2,X6)
| sk1 != cons(X6,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f475,plain,
~ spl0_54,
inference(avatar_split_clause,[],[f54,f472]) ).
fof(f472,plain,
( spl0_54
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f470,plain,
spl0_53,
inference(avatar_split_clause,[],[f47,f468]) ).
fof(f468,plain,
( spl0_53
<=> ! [X0] : ssItem(skaf44(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f466,plain,
spl0_52,
inference(avatar_split_clause,[],[f46,f464]) ).
fof(f464,plain,
( spl0_52
<=> ! [X0] : ssItem(skaf49(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f462,plain,
spl0_51,
inference(avatar_split_clause,[],[f45,f460]) ).
fof(f460,plain,
( spl0_51
<=> ! [X0] : ssItem(skaf50(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f458,plain,
spl0_50,
inference(avatar_split_clause,[],[f44,f456]) ).
fof(f456,plain,
( spl0_50
<=> ! [X0] : ssList(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f454,plain,
spl0_49,
inference(avatar_split_clause,[],[f43,f452]) ).
fof(f452,plain,
( spl0_49
<=> ! [X0] : ssList(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f450,plain,
spl0_48,
inference(avatar_split_clause,[],[f42,f448]) ).
fof(f448,plain,
( spl0_48
<=> ! [X0] : ssList(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f446,plain,
spl0_47,
inference(avatar_split_clause,[],[f41,f444]) ).
fof(f444,plain,
( spl0_47
<=> ! [X0] : ssItem(skaf54(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f442,plain,
spl0_46,
inference(avatar_split_clause,[],[f40,f440]) ).
fof(f440,plain,
( spl0_46
<=> ! [X0] : ssItem(skaf55(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f438,plain,
spl0_45,
inference(avatar_split_clause,[],[f39,f436]) ).
fof(f436,plain,
( spl0_45
<=> ! [X0] : ssList(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f434,plain,
spl0_44,
inference(avatar_split_clause,[],[f38,f432]) ).
fof(f432,plain,
( spl0_44
<=> ! [X0] : ssList(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f430,plain,
spl0_43,
inference(avatar_split_clause,[],[f37,f428]) ).
fof(f428,plain,
( spl0_43
<=> ! [X0] : ssList(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f426,plain,
spl0_42,
inference(avatar_split_clause,[],[f36,f424]) ).
fof(f424,plain,
( spl0_42
<=> ! [X0] : ssItem(skaf59(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f422,plain,
spl0_41,
inference(avatar_split_clause,[],[f35,f420]) ).
fof(f420,plain,
( spl0_41
<=> ! [X0] : ssItem(skaf60(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f418,plain,
spl0_40,
inference(avatar_split_clause,[],[f34,f416]) ).
fof(f416,plain,
( spl0_40
<=> ! [X0] : ssList(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f414,plain,
spl0_39,
inference(avatar_split_clause,[],[f33,f412]) ).
fof(f412,plain,
( spl0_39
<=> ! [X0] : ssList(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f410,plain,
spl0_38,
inference(avatar_split_clause,[],[f32,f408]) ).
fof(f408,plain,
( spl0_38
<=> ! [X0] : ssList(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f406,plain,
spl0_37,
inference(avatar_split_clause,[],[f31,f404]) ).
fof(f404,plain,
( spl0_37
<=> ! [X0] : ssItem(skaf64(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f402,plain,
spl0_36,
inference(avatar_split_clause,[],[f30,f400]) ).
fof(f400,plain,
( spl0_36
<=> ! [X0] : ssItem(skaf65(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f398,plain,
spl0_35,
inference(avatar_split_clause,[],[f29,f396]) ).
fof(f396,plain,
( spl0_35
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f394,plain,
spl0_34,
inference(avatar_split_clause,[],[f28,f392]) ).
fof(f392,plain,
( spl0_34
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f390,plain,
spl0_33,
inference(avatar_split_clause,[],[f27,f388]) ).
fof(f388,plain,
( spl0_33
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f386,plain,
spl0_32,
inference(avatar_split_clause,[],[f26,f384]) ).
fof(f384,plain,
( spl0_32
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f382,plain,
spl0_31,
inference(avatar_split_clause,[],[f25,f380]) ).
fof(f380,plain,
( spl0_31
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f378,plain,
spl0_30,
inference(avatar_split_clause,[],[f24,f376]) ).
fof(f376,plain,
( spl0_30
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f374,plain,
spl0_29,
inference(avatar_split_clause,[],[f23,f372]) ).
fof(f372,plain,
( spl0_29
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f370,plain,
spl0_28,
inference(avatar_split_clause,[],[f22,f368]) ).
fof(f368,plain,
( spl0_28
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f366,plain,
spl0_27,
inference(avatar_split_clause,[],[f21,f364]) ).
fof(f364,plain,
( spl0_27
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f362,plain,
spl0_26,
inference(avatar_split_clause,[],[f20,f360]) ).
fof(f360,plain,
( spl0_26
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f358,plain,
spl0_25,
inference(avatar_split_clause,[],[f19,f356]) ).
fof(f356,plain,
( spl0_25
<=> ! [X0] : ssList(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f354,plain,
spl0_24,
inference(avatar_split_clause,[],[f18,f352]) ).
fof(f352,plain,
( spl0_24
<=> ! [X0] : ssList(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f350,plain,
spl0_23,
inference(avatar_split_clause,[],[f17,f348]) ).
fof(f348,plain,
( spl0_23
<=> ! [X0] : ssItem(skaf78(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f346,plain,
spl0_22,
inference(avatar_split_clause,[],[f16,f344]) ).
fof(f344,plain,
( spl0_22
<=> ! [X0] : ssItem(skaf79(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
fof(f342,plain,
spl0_21,
inference(avatar_split_clause,[],[f15,f340]) ).
fof(f340,plain,
( spl0_21
<=> ! [X0] : ssList(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
fof(f338,plain,
spl0_20,
inference(avatar_split_clause,[],[f14,f336]) ).
fof(f336,plain,
( spl0_20
<=> ! [X0] : ssList(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f334,plain,
spl0_19,
inference(avatar_split_clause,[],[f13,f332]) ).
fof(f332,plain,
( spl0_19
<=> ! [X0] : ssList(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f330,plain,
spl0_18,
inference(avatar_split_clause,[],[f12,f328]) ).
fof(f328,plain,
( spl0_18
<=> ! [X0] : ssItem(skaf83(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f326,plain,
~ spl0_17,
inference(avatar_split_clause,[],[f11,f323]) ).
fof(f323,plain,
( spl0_17
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f321,plain,
spl0_16,
inference(avatar_split_clause,[],[f10,f318]) ).
fof(f318,plain,
( spl0_16
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f316,plain,
spl0_15,
inference(avatar_split_clause,[],[f9,f313]) ).
fof(f313,plain,
( spl0_15
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f311,plain,
spl0_14,
inference(avatar_split_clause,[],[f8,f308]) ).
fof(f308,plain,
( spl0_14
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f306,plain,
spl0_13,
inference(avatar_split_clause,[],[f7,f303]) ).
fof(f303,plain,
( spl0_13
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f301,plain,
spl0_12,
inference(avatar_split_clause,[],[f6,f298]) ).
fof(f298,plain,
( spl0_12
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f296,plain,
spl0_11,
inference(avatar_split_clause,[],[f5,f293]) ).
fof(f293,plain,
( spl0_11
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f291,plain,
spl0_10,
inference(avatar_split_clause,[],[f4,f288]) ).
fof(f288,plain,
( spl0_10
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f286,plain,
spl0_9,
inference(avatar_split_clause,[],[f3,f283]) ).
fof(f283,plain,
( spl0_9
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f281,plain,
spl0_8,
inference(avatar_split_clause,[],[f2,f278]) ).
fof(f278,plain,
( spl0_8
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f276,plain,
spl0_7,
inference(avatar_split_clause,[],[f1,f273]) ).
fof(f273,plain,
( spl0_7
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f271,plain,
( spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f200,f253,f268]) ).
fof(f200,axiom,
( ~ neq(sk4,nil)
| sk3 = cons(sk5,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f266,plain,
( spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f201,f253,f263]) ).
fof(f201,axiom,
( ~ neq(sk4,nil)
| memberP(sk4,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f261,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f199,f258,f253]) ).
fof(f199,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f256,plain,
spl0_3,
inference(avatar_split_clause,[],[f241,f253]) ).
fof(f241,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f206,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f251,plain,
spl0_2,
inference(avatar_split_clause,[],[f202,f248]) ).
fof(f248,plain,
( spl0_2
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f202,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f246,plain,
spl0_1,
inference(avatar_split_clause,[],[f189,f243]) ).
fof(f243,plain,
( spl0_1
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC381-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n020.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 04:08:17 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (31628)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (31631)WARNING: value z3 for option sas not known
% 0.15/0.38 % (31629)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (31630)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 % (31633)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 % (31634)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 % (31631)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 % (31632)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (31635)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)
% 0.22/0.39 % (31633)First to succeed.
% 0.22/0.39 % (31634)Also succeeded, but the first one will report.
% 0.22/0.39 % (31633)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39 % (31633)------------------------------
% 0.22/0.39 % (31633)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.39 % (31633)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (31633)Memory used [KB]: 1083
% 0.22/0.39 % (31633)Time elapsed: 0.010 s
% 0.22/0.39 % (31633)Instructions burned: 14 (million)
% 0.22/0.39 % (31633)------------------------------
% 0.22/0.39 % (31633)------------------------------
% 0.22/0.39 % (31628)Success in time 0.03 s
%------------------------------------------------------------------------------