TSTP Solution File: SWC096-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC096-1 : 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 : n018.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 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 152
% Syntax : Number of formulae : 248 ( 129 unt; 0 def)
% Number of atoms : 409 ( 27 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 272 ( 111 ~; 85 |; 0 &)
% ( 76 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 96 ( 94 usr; 77 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 9 con; 0-2 aty)
% Number of variables : 136 ( 136 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f576,plain,
$false,
inference(avatar_sat_refutation,[],[f250,f255,f260,f265,f270,f275,f280,f285,f290,f295,f300,f305,f310,f315,f320,f325,f330,f335,f341,f345,f349,f353,f357,f361,f365,f369,f373,f377,f381,f385,f389,f393,f397,f401,f405,f409,f413,f417,f421,f425,f429,f433,f437,f441,f445,f449,f453,f457,f461,f465,f469,f473,f477,f481,f485,f490,f494,f498,f502,f506,f510,f514,f521,f527,f531,f535,f539,f543,f547,f551,f555,f556,f562,f566,f570,f574,f575]) ).
fof(f575,plain,
( ~ spl0_5
| ~ spl0_19
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f558,f516,f338,f267]) ).
fof(f267,plain,
( spl0_5
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f338,plain,
( spl0_19
<=> sk4 = app(sk6,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f516,plain,
( spl0_63
<=> ! [X7] :
( ~ ssList(X7)
| sk4 != app(X7,sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f558,plain,
( ~ ssList(sk6)
| ~ spl0_19
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f557]) ).
fof(f557,plain,
( sk4 != sk4
| ~ ssList(sk6)
| ~ spl0_19
| ~ spl0_63 ),
inference(superposition,[],[f517,f340]) ).
fof(f340,plain,
( sk4 = app(sk6,sk3)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f517,plain,
( ! [X7] :
( sk4 != app(X7,sk3)
| ~ ssList(X7) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f574,plain,
spl0_76,
inference(avatar_split_clause,[],[f242,f572]) ).
fof(f572,plain,
( spl0_76
<=> ! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f242,plain,
! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f218]) ).
fof(f218,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/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f570,plain,
spl0_75,
inference(avatar_split_clause,[],[f241,f568]) ).
fof(f568,plain,
( spl0_75
<=> ! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f241,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f222]) ).
fof(f222,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/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f566,plain,
spl0_74,
inference(avatar_split_clause,[],[f71,f564]) ).
fof(f564,plain,
( spl0_74
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f562,plain,
spl0_73,
inference(avatar_split_clause,[],[f63,f560]) ).
fof(f560,plain,
( spl0_73
<=> ! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f63,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f556,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f523,f519,f272,f262]) ).
fof(f262,plain,
( spl0_4
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f272,plain,
( spl0_6
<=> sk3 = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f519,plain,
( spl0_64
<=> ! [X6] :
( ~ ssItem(X6)
| sk3 != cons(X6,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f523,plain,
( ~ ssItem(sk5)
| ~ spl0_6
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f522]) ).
fof(f522,plain,
( sk3 != sk3
| ~ ssItem(sk5)
| ~ spl0_6
| ~ spl0_64 ),
inference(superposition,[],[f520,f274]) ).
fof(f274,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f520,plain,
( ! [X6] :
( sk3 != cons(X6,nil)
| ~ ssItem(X6) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f555,plain,
spl0_72,
inference(avatar_split_clause,[],[f62,f553]) ).
fof(f553,plain,
( spl0_72
<=> ! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f62,axiom,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f551,plain,
spl0_71,
inference(avatar_split_clause,[],[f61,f549]) ).
fof(f549,plain,
( spl0_71
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f547,plain,
spl0_70,
inference(avatar_split_clause,[],[f60,f545]) ).
fof(f545,plain,
( spl0_70
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f543,plain,
spl0_69,
inference(avatar_split_clause,[],[f59,f541]) ).
fof(f541,plain,
( spl0_69
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f59,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f539,plain,
spl0_68,
inference(avatar_split_clause,[],[f58,f537]) ).
fof(f537,plain,
( spl0_68
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f535,plain,
spl0_67,
inference(avatar_split_clause,[],[f57,f533]) ).
fof(f533,plain,
( spl0_67
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f531,plain,
spl0_66,
inference(avatar_split_clause,[],[f56,f529]) ).
fof(f529,plain,
( spl0_66
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f527,plain,
spl0_65,
inference(avatar_split_clause,[],[f55,f525]) ).
fof(f525,plain,
( spl0_65
<=> ! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f55,axiom,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f521,plain,
( ~ spl0_3
| spl0_63
| spl0_64 ),
inference(avatar_split_clause,[],[f245,f519,f516,f257]) ).
fof(f257,plain,
( spl0_3
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f245,plain,
! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ neq(sk4,nil)
| sk3 != cons(X6,nil)
| sk4 != app(X7,sk3) ),
inference(inner_rewriting,[],[f212]) ).
fof(f212,plain,
! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ neq(sk4,nil)
| sk3 != cons(X6,nil)
| sk4 != app(X7,cons(X6,nil)) ),
inference(definition_unfolding,[],[f199,f191,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f199,axiom,
! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ neq(sk4,nil)
| sk1 != cons(X6,nil)
| sk2 != app(X7,cons(X6,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f514,plain,
spl0_62,
inference(avatar_split_clause,[],[f53,f512]) ).
fof(f512,plain,
( spl0_62
<=> ! [X0,X1] : ssList(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f510,plain,
spl0_61,
inference(avatar_split_clause,[],[f52,f508]) ).
fof(f508,plain,
( spl0_61
<=> ! [X0,X1] : ssList(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f506,plain,
spl0_60,
inference(avatar_split_clause,[],[f51,f504]) ).
fof(f504,plain,
( spl0_60
<=> ! [X0,X1] : ssList(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f502,plain,
spl0_59,
inference(avatar_split_clause,[],[f50,f500]) ).
fof(f500,plain,
( spl0_59
<=> ! [X0,X1] : ssList(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f498,plain,
spl0_58,
inference(avatar_split_clause,[],[f49,f496]) ).
fof(f496,plain,
( spl0_58
<=> ! [X0,X1] : ssList(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f494,plain,
spl0_57,
inference(avatar_split_clause,[],[f48,f492]) ).
fof(f492,plain,
( spl0_57
<=> ! [X0,X1] : ssList(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f490,plain,
~ spl0_56,
inference(avatar_split_clause,[],[f54,f487]) ).
fof(f487,plain,
( spl0_56
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f485,plain,
spl0_55,
inference(avatar_split_clause,[],[f47,f483]) ).
fof(f483,plain,
( spl0_55
<=> ! [X0] : ssItem(skaf44(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f481,plain,
spl0_54,
inference(avatar_split_clause,[],[f46,f479]) ).
fof(f479,plain,
( spl0_54
<=> ! [X0] : ssItem(skaf49(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f477,plain,
spl0_53,
inference(avatar_split_clause,[],[f45,f475]) ).
fof(f475,plain,
( spl0_53
<=> ! [X0] : ssItem(skaf50(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f473,plain,
spl0_52,
inference(avatar_split_clause,[],[f44,f471]) ).
fof(f471,plain,
( spl0_52
<=> ! [X0] : ssList(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f469,plain,
spl0_51,
inference(avatar_split_clause,[],[f43,f467]) ).
fof(f467,plain,
( spl0_51
<=> ! [X0] : ssList(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f465,plain,
spl0_50,
inference(avatar_split_clause,[],[f42,f463]) ).
fof(f463,plain,
( spl0_50
<=> ! [X0] : ssList(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f461,plain,
spl0_49,
inference(avatar_split_clause,[],[f41,f459]) ).
fof(f459,plain,
( spl0_49
<=> ! [X0] : ssItem(skaf54(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f457,plain,
spl0_48,
inference(avatar_split_clause,[],[f40,f455]) ).
fof(f455,plain,
( spl0_48
<=> ! [X0] : ssItem(skaf55(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f453,plain,
spl0_47,
inference(avatar_split_clause,[],[f39,f451]) ).
fof(f451,plain,
( spl0_47
<=> ! [X0] : ssList(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f449,plain,
spl0_46,
inference(avatar_split_clause,[],[f38,f447]) ).
fof(f447,plain,
( spl0_46
<=> ! [X0] : ssList(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f445,plain,
spl0_45,
inference(avatar_split_clause,[],[f37,f443]) ).
fof(f443,plain,
( spl0_45
<=> ! [X0] : ssList(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f441,plain,
spl0_44,
inference(avatar_split_clause,[],[f36,f439]) ).
fof(f439,plain,
( spl0_44
<=> ! [X0] : ssItem(skaf59(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f437,plain,
spl0_43,
inference(avatar_split_clause,[],[f35,f435]) ).
fof(f435,plain,
( spl0_43
<=> ! [X0] : ssItem(skaf60(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f433,plain,
spl0_42,
inference(avatar_split_clause,[],[f34,f431]) ).
fof(f431,plain,
( spl0_42
<=> ! [X0] : ssList(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f429,plain,
spl0_41,
inference(avatar_split_clause,[],[f33,f427]) ).
fof(f427,plain,
( spl0_41
<=> ! [X0] : ssList(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f425,plain,
spl0_40,
inference(avatar_split_clause,[],[f32,f423]) ).
fof(f423,plain,
( spl0_40
<=> ! [X0] : ssList(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f421,plain,
spl0_39,
inference(avatar_split_clause,[],[f31,f419]) ).
fof(f419,plain,
( spl0_39
<=> ! [X0] : ssItem(skaf64(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f417,plain,
spl0_38,
inference(avatar_split_clause,[],[f30,f415]) ).
fof(f415,plain,
( spl0_38
<=> ! [X0] : ssItem(skaf65(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f413,plain,
spl0_37,
inference(avatar_split_clause,[],[f29,f411]) ).
fof(f411,plain,
( spl0_37
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f409,plain,
spl0_36,
inference(avatar_split_clause,[],[f28,f407]) ).
fof(f407,plain,
( spl0_36
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f405,plain,
spl0_35,
inference(avatar_split_clause,[],[f27,f403]) ).
fof(f403,plain,
( spl0_35
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f401,plain,
spl0_34,
inference(avatar_split_clause,[],[f26,f399]) ).
fof(f399,plain,
( spl0_34
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f397,plain,
spl0_33,
inference(avatar_split_clause,[],[f25,f395]) ).
fof(f395,plain,
( spl0_33
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f393,plain,
spl0_32,
inference(avatar_split_clause,[],[f24,f391]) ).
fof(f391,plain,
( spl0_32
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f389,plain,
spl0_31,
inference(avatar_split_clause,[],[f23,f387]) ).
fof(f387,plain,
( spl0_31
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f385,plain,
spl0_30,
inference(avatar_split_clause,[],[f22,f383]) ).
fof(f383,plain,
( spl0_30
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f381,plain,
spl0_29,
inference(avatar_split_clause,[],[f21,f379]) ).
fof(f379,plain,
( spl0_29
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f377,plain,
spl0_28,
inference(avatar_split_clause,[],[f20,f375]) ).
fof(f375,plain,
( spl0_28
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f373,plain,
spl0_27,
inference(avatar_split_clause,[],[f19,f371]) ).
fof(f371,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/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f369,plain,
spl0_26,
inference(avatar_split_clause,[],[f18,f367]) ).
fof(f367,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/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f365,plain,
spl0_25,
inference(avatar_split_clause,[],[f17,f363]) ).
fof(f363,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/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f361,plain,
spl0_24,
inference(avatar_split_clause,[],[f16,f359]) ).
fof(f359,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/sandbox/benchmark/theBenchmark.p',clause16) ).
fof(f357,plain,
spl0_23,
inference(avatar_split_clause,[],[f15,f355]) ).
fof(f355,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/sandbox/benchmark/theBenchmark.p',clause15) ).
fof(f353,plain,
spl0_22,
inference(avatar_split_clause,[],[f14,f351]) ).
fof(f351,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/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f349,plain,
spl0_21,
inference(avatar_split_clause,[],[f13,f347]) ).
fof(f347,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/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f345,plain,
spl0_20,
inference(avatar_split_clause,[],[f12,f343]) ).
fof(f343,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/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f341,plain,
( spl0_19
| ~ spl0_6
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f336,f332,f272,f338]) ).
fof(f332,plain,
( spl0_18
<=> sk4 = app(sk6,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f336,plain,
( sk4 = app(sk6,sk3)
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f334,f274]) ).
fof(f334,plain,
( sk4 = app(sk6,cons(sk5,nil))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f335,plain,
( spl0_18
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f203,f257,f332]) ).
fof(f203,axiom,
( ~ neq(sk4,nil)
| sk4 = app(sk6,cons(sk5,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f330,plain,
~ spl0_17,
inference(avatar_split_clause,[],[f11,f327]) ).
fof(f327,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(f325,plain,
spl0_16,
inference(avatar_split_clause,[],[f10,f322]) ).
fof(f322,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(f320,plain,
spl0_15,
inference(avatar_split_clause,[],[f9,f317]) ).
fof(f317,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(f315,plain,
spl0_14,
inference(avatar_split_clause,[],[f8,f312]) ).
fof(f312,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(f310,plain,
spl0_13,
inference(avatar_split_clause,[],[f7,f307]) ).
fof(f307,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(f305,plain,
spl0_12,
inference(avatar_split_clause,[],[f6,f302]) ).
fof(f302,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(f300,plain,
spl0_11,
inference(avatar_split_clause,[],[f5,f297]) ).
fof(f297,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(f295,plain,
spl0_10,
inference(avatar_split_clause,[],[f4,f292]) ).
fof(f292,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(f290,plain,
spl0_9,
inference(avatar_split_clause,[],[f3,f287]) ).
fof(f287,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(f285,plain,
spl0_8,
inference(avatar_split_clause,[],[f2,f282]) ).
fof(f282,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(f280,plain,
spl0_7,
inference(avatar_split_clause,[],[f1,f277]) ).
fof(f277,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(f275,plain,
( spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f202,f257,f272]) ).
fof(f202,axiom,
( ~ neq(sk4,nil)
| sk3 = cons(sk5,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f270,plain,
( ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f201,f267,f257]) ).
fof(f201,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f265,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f200,f262,f257]) ).
fof(f200,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f260,plain,
spl0_3,
inference(avatar_split_clause,[],[f244,f257]) ).
fof(f244,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f209]) ).
fof(f209,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(f255,plain,
spl0_2,
inference(avatar_split_clause,[],[f189,f252]) ).
fof(f252,plain,
( spl0_2
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f250,plain,
spl0_1,
inference(avatar_split_clause,[],[f188,f247]) ).
fof(f247,plain,
( spl0_1
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC096-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 03:05:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (28237)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (28240)WARNING: value z3 for option sas not known
% 0.21/0.38 % (28238)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (28241)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (28239)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (28240)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)
% 0.21/0.38 % (28243)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)
% 0.21/0.38 % (28242)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)
% 0.21/0.38 % (28244)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)
% 0.21/0.39 % (28242)First to succeed.
% 0.21/0.39 % (28242)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28237"
% 0.21/0.39 % (28242)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40 % (28242)------------------------------
% 0.21/0.40 % (28242)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.40 % (28242)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (28242)Memory used [KB]: 1113
% 0.21/0.40 % (28242)Time elapsed: 0.012 s
% 0.21/0.40 % (28242)Instructions burned: 16 (million)
% 0.21/0.40 % (28237)Success in time 0.034 s
%------------------------------------------------------------------------------