TSTP Solution File: SWC051-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC051-1 : 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 : n015.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 04:41:07 EDT 2024
% Result : Unsatisfiable 0.12s 0.36s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 169
% Syntax : Number of formulae : 274 ( 140 unt; 0 def)
% Number of atoms : 462 ( 12 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 312 ( 124 ~; 102 |; 0 &)
% ( 86 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 106 ( 104 usr; 87 prp; 0-2 aty)
% Number of functors : 50 ( 50 usr; 7 con; 0-2 aty)
% Number of variables : 149 ( 149 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f601,plain,
$false,
inference(avatar_sat_refutation,[],[f236,f241,f246,f251,f256,f265,f270,f275,f280,f285,f290,f295,f300,f305,f310,f315,f320,f324,f330,f334,f338,f342,f346,f350,f354,f358,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,f484,f489,f493,f497,f501,f505,f509,f513,f517,f521,f525,f529,f533,f537,f541,f545,f549,f553,f557,f561,f567,f571,f575,f576,f580,f584,f588,f592,f599,f600]) ).
fof(f600,plain,
( ~ spl0_1
| spl0_59
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f563,f531,f486,f233]) ).
fof(f233,plain,
( spl0_1
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f486,plain,
( spl0_59
<=> rearsegP(sk3,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f531,plain,
( spl0_70
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f563,plain,
( ~ ssList(sk3)
| spl0_59
| ~ spl0_70 ),
inference(resolution,[],[f532,f488]) ).
fof(f488,plain,
( ~ rearsegP(sk3,sk3)
| spl0_59 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f532,plain,
( ! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f599,plain,
( spl0_85
| spl0_86 ),
inference(avatar_split_clause,[],[f72,f597,f594]) ).
fof(f594,plain,
( spl0_85
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f597,plain,
( spl0_86
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f592,plain,
spl0_84,
inference(avatar_split_clause,[],[f70,f590]) ).
fof(f590,plain,
( spl0_84
<=> ! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f70,axiom,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f588,plain,
spl0_83,
inference(avatar_split_clause,[],[f69,f586]) ).
fof(f586,plain,
( spl0_83
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f69,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f584,plain,
spl0_82,
inference(avatar_split_clause,[],[f68,f582]) ).
fof(f582,plain,
( spl0_82
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f68,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f580,plain,
spl0_81,
inference(avatar_split_clause,[],[f67,f578]) ).
fof(f578,plain,
( spl0_81
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f576,plain,
( ~ spl0_2
| spl0_28
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f562,f531,f360,f238]) ).
fof(f238,plain,
( spl0_2
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f360,plain,
( spl0_28
<=> rearsegP(sk4,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f562,plain,
( ~ ssList(sk4)
| spl0_28
| ~ spl0_70 ),
inference(resolution,[],[f532,f362]) ).
fof(f362,plain,
( ~ rearsegP(sk4,sk4)
| spl0_28 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f575,plain,
spl0_80,
inference(avatar_split_clause,[],[f66,f573]) ).
fof(f573,plain,
( spl0_80
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f571,plain,
spl0_79,
inference(avatar_split_clause,[],[f65,f569]) ).
fof(f569,plain,
( spl0_79
<=> ! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f567,plain,
spl0_78,
inference(avatar_split_clause,[],[f64,f565]) ).
fof(f565,plain,
( spl0_78
<=> ! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f561,plain,
spl0_77,
inference(avatar_split_clause,[],[f230,f559]) ).
fof(f559,plain,
( spl0_77
<=> ! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f230,plain,
! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f204]) ).
fof(f204,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f117]) ).
fof(f117,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f557,plain,
spl0_76,
inference(avatar_split_clause,[],[f228,f555]) ).
fof(f555,plain,
( spl0_76
<=> ! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f228,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f209]) ).
fof(f209,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f553,plain,
spl0_75,
inference(avatar_split_clause,[],[f71,f551]) ).
fof(f551,plain,
( spl0_75
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f549,plain,
spl0_74,
inference(avatar_split_clause,[],[f63,f547]) ).
fof(f547,plain,
( spl0_74
<=> ! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f63,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f545,plain,
spl0_73,
inference(avatar_split_clause,[],[f62,f543]) ).
fof(f543,plain,
( spl0_73
<=> ! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f62,axiom,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f541,plain,
spl0_72,
inference(avatar_split_clause,[],[f61,f539]) ).
fof(f539,plain,
( spl0_72
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f537,plain,
spl0_71,
inference(avatar_split_clause,[],[f60,f535]) ).
fof(f535,plain,
( spl0_71
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f533,plain,
spl0_70,
inference(avatar_split_clause,[],[f59,f531]) ).
fof(f59,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f529,plain,
spl0_69,
inference(avatar_split_clause,[],[f58,f527]) ).
fof(f527,plain,
( spl0_69
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f525,plain,
spl0_68,
inference(avatar_split_clause,[],[f57,f523]) ).
fof(f523,plain,
( spl0_68
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f521,plain,
spl0_67,
inference(avatar_split_clause,[],[f56,f519]) ).
fof(f519,plain,
( spl0_67
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f517,plain,
spl0_66,
inference(avatar_split_clause,[],[f55,f515]) ).
fof(f515,plain,
( spl0_66
<=> ! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f55,axiom,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f513,plain,
spl0_65,
inference(avatar_split_clause,[],[f53,f511]) ).
fof(f511,plain,
( spl0_65
<=> ! [X0,X1] : ssList(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f509,plain,
spl0_64,
inference(avatar_split_clause,[],[f52,f507]) ).
fof(f507,plain,
( spl0_64
<=> ! [X0,X1] : ssList(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f505,plain,
spl0_63,
inference(avatar_split_clause,[],[f51,f503]) ).
fof(f503,plain,
( spl0_63
<=> ! [X0,X1] : ssList(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f501,plain,
spl0_62,
inference(avatar_split_clause,[],[f50,f499]) ).
fof(f499,plain,
( spl0_62
<=> ! [X0,X1] : ssList(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f497,plain,
spl0_61,
inference(avatar_split_clause,[],[f49,f495]) ).
fof(f495,plain,
( spl0_61
<=> ! [X0,X1] : ssList(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f493,plain,
spl0_60,
inference(avatar_split_clause,[],[f48,f491]) ).
fof(f491,plain,
( spl0_60
<=> ! [X0,X1] : ssList(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f489,plain,
( ~ spl0_5
| ~ spl0_59
| ~ spl0_1
| ~ spl0_4
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f326,f322,f248,f233,f486,f253]) ).
fof(f253,plain,
( spl0_5
<=> rearsegP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f248,plain,
( spl0_4
<=> neq(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f322,plain,
( spl0_19
<=> ! [X6] :
( ~ ssList(X6)
| ~ neq(X6,nil)
| ~ rearsegP(sk3,X6)
| ~ rearsegP(sk4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f326,plain,
( ~ ssList(sk3)
| ~ rearsegP(sk3,sk3)
| ~ rearsegP(sk4,sk3)
| ~ spl0_4
| ~ spl0_19 ),
inference(resolution,[],[f323,f250]) ).
fof(f250,plain,
( neq(sk3,nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f323,plain,
( ! [X6] :
( ~ neq(X6,nil)
| ~ ssList(X6)
| ~ rearsegP(sk3,X6)
| ~ rearsegP(sk4,X6) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f484,plain,
~ spl0_58,
inference(avatar_split_clause,[],[f54,f481]) ).
fof(f481,plain,
( spl0_58
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f479,plain,
spl0_57,
inference(avatar_split_clause,[],[f47,f477]) ).
fof(f477,plain,
( spl0_57
<=> ! [X0] : ssItem(skaf44(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f475,plain,
spl0_56,
inference(avatar_split_clause,[],[f46,f473]) ).
fof(f473,plain,
( spl0_56
<=> ! [X0] : ssItem(skaf49(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f471,plain,
spl0_55,
inference(avatar_split_clause,[],[f45,f469]) ).
fof(f469,plain,
( spl0_55
<=> ! [X0] : ssItem(skaf50(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f467,plain,
spl0_54,
inference(avatar_split_clause,[],[f44,f465]) ).
fof(f465,plain,
( spl0_54
<=> ! [X0] : ssList(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f463,plain,
spl0_53,
inference(avatar_split_clause,[],[f43,f461]) ).
fof(f461,plain,
( spl0_53
<=> ! [X0] : ssList(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f459,plain,
spl0_52,
inference(avatar_split_clause,[],[f42,f457]) ).
fof(f457,plain,
( spl0_52
<=> ! [X0] : ssList(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f455,plain,
spl0_51,
inference(avatar_split_clause,[],[f41,f453]) ).
fof(f453,plain,
( spl0_51
<=> ! [X0] : ssItem(skaf54(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f451,plain,
spl0_50,
inference(avatar_split_clause,[],[f40,f449]) ).
fof(f449,plain,
( spl0_50
<=> ! [X0] : ssItem(skaf55(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f447,plain,
spl0_49,
inference(avatar_split_clause,[],[f39,f445]) ).
fof(f445,plain,
( spl0_49
<=> ! [X0] : ssList(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f443,plain,
spl0_48,
inference(avatar_split_clause,[],[f38,f441]) ).
fof(f441,plain,
( spl0_48
<=> ! [X0] : ssList(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f439,plain,
spl0_47,
inference(avatar_split_clause,[],[f37,f437]) ).
fof(f437,plain,
( spl0_47
<=> ! [X0] : ssList(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f435,plain,
spl0_46,
inference(avatar_split_clause,[],[f36,f433]) ).
fof(f433,plain,
( spl0_46
<=> ! [X0] : ssItem(skaf59(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f431,plain,
spl0_45,
inference(avatar_split_clause,[],[f35,f429]) ).
fof(f429,plain,
( spl0_45
<=> ! [X0] : ssItem(skaf60(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f427,plain,
spl0_44,
inference(avatar_split_clause,[],[f34,f425]) ).
fof(f425,plain,
( spl0_44
<=> ! [X0] : ssList(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f423,plain,
spl0_43,
inference(avatar_split_clause,[],[f33,f421]) ).
fof(f421,plain,
( spl0_43
<=> ! [X0] : ssList(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f419,plain,
spl0_42,
inference(avatar_split_clause,[],[f32,f417]) ).
fof(f417,plain,
( spl0_42
<=> ! [X0] : ssList(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f415,plain,
spl0_41,
inference(avatar_split_clause,[],[f31,f413]) ).
fof(f413,plain,
( spl0_41
<=> ! [X0] : ssItem(skaf64(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f411,plain,
spl0_40,
inference(avatar_split_clause,[],[f30,f409]) ).
fof(f409,plain,
( spl0_40
<=> ! [X0] : ssItem(skaf65(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f407,plain,
spl0_39,
inference(avatar_split_clause,[],[f29,f405]) ).
fof(f405,plain,
( spl0_39
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f403,plain,
spl0_38,
inference(avatar_split_clause,[],[f28,f401]) ).
fof(f401,plain,
( spl0_38
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f399,plain,
spl0_37,
inference(avatar_split_clause,[],[f27,f397]) ).
fof(f397,plain,
( spl0_37
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f395,plain,
spl0_36,
inference(avatar_split_clause,[],[f26,f393]) ).
fof(f393,plain,
( spl0_36
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f391,plain,
spl0_35,
inference(avatar_split_clause,[],[f25,f389]) ).
fof(f389,plain,
( spl0_35
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f387,plain,
spl0_34,
inference(avatar_split_clause,[],[f24,f385]) ).
fof(f385,plain,
( spl0_34
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
fof(f383,plain,
spl0_33,
inference(avatar_split_clause,[],[f23,f381]) ).
fof(f381,plain,
( spl0_33
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
fof(f379,plain,
spl0_32,
inference(avatar_split_clause,[],[f22,f377]) ).
fof(f377,plain,
( spl0_32
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f375,plain,
spl0_31,
inference(avatar_split_clause,[],[f21,f373]) ).
fof(f373,plain,
( spl0_31
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
fof(f371,plain,
spl0_30,
inference(avatar_split_clause,[],[f20,f369]) ).
fof(f369,plain,
( spl0_30
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f367,plain,
( ~ spl0_28
| ~ spl0_29
| ~ spl0_2
| ~ spl0_3
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f325,f322,f243,f238,f364,f360]) ).
fof(f364,plain,
( spl0_29
<=> rearsegP(sk3,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f243,plain,
( spl0_3
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f325,plain,
( ~ ssList(sk4)
| ~ rearsegP(sk3,sk4)
| ~ rearsegP(sk4,sk4)
| ~ spl0_3
| ~ spl0_19 ),
inference(resolution,[],[f323,f245]) ).
fof(f245,plain,
( neq(sk4,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f358,plain,
spl0_27,
inference(avatar_split_clause,[],[f19,f356]) ).
fof(f356,plain,
( spl0_27
<=> ! [X0] : ssList(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f354,plain,
spl0_26,
inference(avatar_split_clause,[],[f18,f352]) ).
fof(f352,plain,
( spl0_26
<=> ! [X0] : ssList(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f350,plain,
spl0_25,
inference(avatar_split_clause,[],[f17,f348]) ).
fof(f348,plain,
( spl0_25
<=> ! [X0] : ssItem(skaf78(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f346,plain,
spl0_24,
inference(avatar_split_clause,[],[f16,f344]) ).
fof(f344,plain,
( spl0_24
<=> ! [X0] : ssItem(skaf79(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f342,plain,
spl0_23,
inference(avatar_split_clause,[],[f15,f340]) ).
fof(f340,plain,
( spl0_23
<=> ! [X0] : ssList(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f338,plain,
spl0_22,
inference(avatar_split_clause,[],[f14,f336]) ).
fof(f336,plain,
( spl0_22
<=> ! [X0] : ssList(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f334,plain,
spl0_21,
inference(avatar_split_clause,[],[f13,f332]) ).
fof(f332,plain,
( spl0_21
<=> ! [X0] : ssList(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f330,plain,
spl0_20,
inference(avatar_split_clause,[],[f12,f328]) ).
fof(f328,plain,
( spl0_20
<=> ! [X0] : ssItem(skaf83(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f324,plain,
spl0_19,
inference(avatar_split_clause,[],[f200,f322]) ).
fof(f200,plain,
! [X6] :
( ~ ssList(X6)
| ~ neq(X6,nil)
| ~ rearsegP(sk3,X6)
| ~ rearsegP(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)
| ~ rearsegP(sk1,X6)
| ~ rearsegP(sk2,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
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_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f231,f262,f258]) ).
fof(f258,plain,
( spl0_6
<=> sk3 = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f262,plain,
( spl0_7
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f231,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(f256,plain,
( spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f196,f243,f253]) ).
fof(f196,axiom,
( ~ neq(sk4,nil)
| rearsegP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f251,plain,
( spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f195,f243,f248]) ).
fof(f195,axiom,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f246,plain,
spl0_3,
inference(avatar_split_clause,[],[f199,f243]) ).
fof(f199,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(f241,plain,
spl0_2,
inference(avatar_split_clause,[],[f198,f238]) ).
fof(f198,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f236,plain,
spl0_1,
inference(avatar_split_clause,[],[f197,f233]) ).
fof(f197,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
% 0.06/0.10 % Problem : SWC051-1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32 % Computer : n015.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sun May 19 02:39:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (2802)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (2805)WARNING: value z3 for option sas not known
% 0.12/0.35 % (2807)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)
% 0.12/0.35 % (2804)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35 % (2808)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)
% 0.12/0.36 % (2809)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)
% 0.12/0.36 % (2806)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (2807)First to succeed.
% 0.12/0.36 % (2808)Also succeeded, but the first one will report.
% 0.12/0.36 % (2807)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2802"
% 0.12/0.36 % (2807)Refutation found. Thanks to Tanya!
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.36 % (2807)------------------------------
% 0.12/0.36 % (2807)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36 % (2807)Termination reason: Refutation
% 0.12/0.36
% 0.12/0.36 % (2807)Memory used [KB]: 1118
% 0.12/0.36 % (2807)Time elapsed: 0.008 s
% 0.12/0.36 % (2807)Instructions burned: 17 (million)
% 0.12/0.36 % (2802)Success in time 0.015 s
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