TSTP Solution File: SWC011-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC011-1 : 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 : n006.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 04:39:55 EDT 2024
% Result : Unsatisfiable 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 162
% Syntax : Number of formulae : 259 ( 135 unt; 0 def)
% Number of atoms : 444 ( 24 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 313 ( 128 ~; 105 |; 0 &)
% ( 80 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 100 ( 98 usr; 81 prp; 0-2 aty)
% Number of functors : 54 ( 54 usr; 10 con; 0-2 aty)
% Number of variables : 148 ( 148 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f593,plain,
$false,
inference(avatar_sat_refutation,[],[f252,f257,f262,f267,f272,f277,f282,f287,f292,f297,f302,f307,f312,f317,f322,f327,f332,f337,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,f474,f478,f482,f486,f491,f495,f499,f503,f507,f511,f515,f519,f523,f527,f531,f535,f539,f543,f547,f551,f555,f559,f563,f567,f575,f579,f583,f587,f591,f592]) ).
fof(f592,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_4
| ~ spl0_7
| ~ spl0_19
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f571,f565,f339,f279,f264,f274,f269]) ).
fof(f269,plain,
( spl0_5
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f274,plain,
( spl0_6
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f264,plain,
( spl0_4
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f279,plain,
( spl0_7
<=> sk3 = app(sk6,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f339,plain,
( spl0_19
<=> sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f565,plain,
( spl0_75
<=> ! [X6,X8,X7] :
( ~ ssItem(X6)
| sk4 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| sk3 != app(X7,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f571,plain,
( ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(sk6)
| ~ spl0_7
| ~ spl0_19
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f570]) ).
fof(f570,plain,
( sk3 != sk3
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(sk6)
| ~ spl0_7
| ~ spl0_19
| ~ spl0_75 ),
inference(forward_demodulation,[],[f569,f281]) ).
fof(f281,plain,
( sk3 = app(sk6,sk7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f569,plain,
( ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(sk6)
| sk3 != app(sk6,sk7)
| ~ spl0_19
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f568]) ).
fof(f568,plain,
( sk4 != sk4
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssList(sk6)
| sk3 != app(sk6,sk7)
| ~ spl0_19
| ~ spl0_75 ),
inference(superposition,[],[f566,f341]) ).
fof(f341,plain,
( sk4 = app(app(sk6,cons(sk5,nil)),sk7)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f566,plain,
( ! [X8,X6,X7] :
( sk4 != app(app(X7,cons(X6,nil)),X8)
| ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssList(X7)
| sk3 != app(X7,X8) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f591,plain,
spl0_80,
inference(avatar_split_clause,[],[f68,f589]) ).
fof(f589,plain,
( spl0_80
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f68,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f587,plain,
spl0_79,
inference(avatar_split_clause,[],[f67,f585]) ).
fof(f585,plain,
( spl0_79
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f583,plain,
spl0_78,
inference(avatar_split_clause,[],[f66,f581]) ).
fof(f581,plain,
( spl0_78
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f579,plain,
spl0_77,
inference(avatar_split_clause,[],[f65,f577]) ).
fof(f577,plain,
( spl0_77
<=> ! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f575,plain,
spl0_76,
inference(avatar_split_clause,[],[f64,f573]) ).
fof(f573,plain,
( spl0_76
<=> ! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f567,plain,
( ~ spl0_3
| spl0_75 ),
inference(avatar_split_clause,[],[f215,f565,f259]) ).
fof(f259,plain,
( spl0_3
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f215,plain,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ neq(sk4,nil)
| sk3 != app(X7,X8)
| sk4 != app(app(X7,cons(X6,nil)),X8) ),
inference(definition_unfolding,[],[f200,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(f200,axiom,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ neq(sk4,nil)
| sk1 != app(X7,X8)
| sk2 != app(app(X7,cons(X6,nil)),X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f563,plain,
spl0_74,
inference(avatar_split_clause,[],[f245,f561]) ).
fof(f561,plain,
( spl0_74
<=> ! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f245,plain,
! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f221]) ).
fof(f221,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(f559,plain,
spl0_73,
inference(avatar_split_clause,[],[f244,f557]) ).
fof(f557,plain,
( spl0_73
<=> ! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f244,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f225,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(f555,plain,
spl0_72,
inference(avatar_split_clause,[],[f71,f553]) ).
fof(f553,plain,
( spl0_72
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f551,plain,
spl0_71,
inference(avatar_split_clause,[],[f63,f549]) ).
fof(f549,plain,
( spl0_71
<=> ! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f63,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f547,plain,
spl0_70,
inference(avatar_split_clause,[],[f62,f545]) ).
fof(f545,plain,
( spl0_70
<=> ! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f62,axiom,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f543,plain,
spl0_69,
inference(avatar_split_clause,[],[f61,f541]) ).
fof(f541,plain,
( spl0_69
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f539,plain,
spl0_68,
inference(avatar_split_clause,[],[f60,f537]) ).
fof(f537,plain,
( spl0_68
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f535,plain,
spl0_67,
inference(avatar_split_clause,[],[f59,f533]) ).
fof(f533,plain,
( spl0_67
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f59,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f531,plain,
spl0_66,
inference(avatar_split_clause,[],[f58,f529]) ).
fof(f529,plain,
( spl0_66
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f527,plain,
spl0_65,
inference(avatar_split_clause,[],[f57,f525]) ).
fof(f525,plain,
( spl0_65
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f523,plain,
spl0_64,
inference(avatar_split_clause,[],[f56,f521]) ).
fof(f521,plain,
( spl0_64
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f519,plain,
spl0_63,
inference(avatar_split_clause,[],[f55,f517]) ).
fof(f517,plain,
( spl0_63
<=> ! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f55,axiom,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f515,plain,
spl0_62,
inference(avatar_split_clause,[],[f53,f513]) ).
fof(f513,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(f511,plain,
spl0_61,
inference(avatar_split_clause,[],[f52,f509]) ).
fof(f509,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(f507,plain,
spl0_60,
inference(avatar_split_clause,[],[f51,f505]) ).
fof(f505,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(f503,plain,
spl0_59,
inference(avatar_split_clause,[],[f50,f501]) ).
fof(f501,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(f499,plain,
spl0_58,
inference(avatar_split_clause,[],[f49,f497]) ).
fof(f497,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(f495,plain,
spl0_57,
inference(avatar_split_clause,[],[f48,f493]) ).
fof(f493,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(f491,plain,
~ spl0_56,
inference(avatar_split_clause,[],[f54,f488]) ).
fof(f488,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(f486,plain,
spl0_55,
inference(avatar_split_clause,[],[f47,f484]) ).
fof(f484,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(f482,plain,
spl0_54,
inference(avatar_split_clause,[],[f46,f480]) ).
fof(f480,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(f478,plain,
spl0_53,
inference(avatar_split_clause,[],[f45,f476]) ).
fof(f476,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(f474,plain,
spl0_52,
inference(avatar_split_clause,[],[f44,f472]) ).
fof(f472,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(f470,plain,
spl0_51,
inference(avatar_split_clause,[],[f43,f468]) ).
fof(f468,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(f466,plain,
spl0_50,
inference(avatar_split_clause,[],[f42,f464]) ).
fof(f464,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(f462,plain,
spl0_49,
inference(avatar_split_clause,[],[f41,f460]) ).
fof(f460,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(f458,plain,
spl0_48,
inference(avatar_split_clause,[],[f40,f456]) ).
fof(f456,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(f454,plain,
spl0_47,
inference(avatar_split_clause,[],[f39,f452]) ).
fof(f452,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(f450,plain,
spl0_46,
inference(avatar_split_clause,[],[f38,f448]) ).
fof(f448,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(f446,plain,
spl0_45,
inference(avatar_split_clause,[],[f37,f444]) ).
fof(f444,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(f442,plain,
spl0_44,
inference(avatar_split_clause,[],[f36,f440]) ).
fof(f440,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(f438,plain,
spl0_43,
inference(avatar_split_clause,[],[f35,f436]) ).
fof(f436,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(f434,plain,
spl0_42,
inference(avatar_split_clause,[],[f34,f432]) ).
fof(f432,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(f430,plain,
spl0_41,
inference(avatar_split_clause,[],[f33,f428]) ).
fof(f428,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(f426,plain,
spl0_40,
inference(avatar_split_clause,[],[f32,f424]) ).
fof(f424,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(f422,plain,
spl0_39,
inference(avatar_split_clause,[],[f31,f420]) ).
fof(f420,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(f418,plain,
spl0_38,
inference(avatar_split_clause,[],[f30,f416]) ).
fof(f416,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(f414,plain,
spl0_37,
inference(avatar_split_clause,[],[f29,f412]) ).
fof(f412,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(f410,plain,
spl0_36,
inference(avatar_split_clause,[],[f28,f408]) ).
fof(f408,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(f406,plain,
spl0_35,
inference(avatar_split_clause,[],[f27,f404]) ).
fof(f404,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(f402,plain,
spl0_34,
inference(avatar_split_clause,[],[f26,f400]) ).
fof(f400,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(f398,plain,
spl0_33,
inference(avatar_split_clause,[],[f25,f396]) ).
fof(f396,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(f394,plain,
spl0_32,
inference(avatar_split_clause,[],[f24,f392]) ).
fof(f392,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(f390,plain,
spl0_31,
inference(avatar_split_clause,[],[f23,f388]) ).
fof(f388,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(f386,plain,
spl0_30,
inference(avatar_split_clause,[],[f22,f384]) ).
fof(f384,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(f382,plain,
spl0_29,
inference(avatar_split_clause,[],[f21,f380]) ).
fof(f380,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(f378,plain,
spl0_28,
inference(avatar_split_clause,[],[f20,f376]) ).
fof(f376,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(f374,plain,
spl0_27,
inference(avatar_split_clause,[],[f19,f372]) ).
fof(f372,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(f370,plain,
spl0_26,
inference(avatar_split_clause,[],[f18,f368]) ).
fof(f368,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(f366,plain,
spl0_25,
inference(avatar_split_clause,[],[f17,f364]) ).
fof(f364,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(f362,plain,
spl0_24,
inference(avatar_split_clause,[],[f16,f360]) ).
fof(f360,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(f358,plain,
spl0_23,
inference(avatar_split_clause,[],[f15,f356]) ).
fof(f356,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(f354,plain,
spl0_22,
inference(avatar_split_clause,[],[f14,f352]) ).
fof(f352,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(f350,plain,
spl0_21,
inference(avatar_split_clause,[],[f13,f348]) ).
fof(f348,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(f346,plain,
spl0_20,
inference(avatar_split_clause,[],[f12,f344]) ).
fof(f344,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(f342,plain,
( spl0_19
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f204,f259,f339]) ).
fof(f204,axiom,
( ~ neq(sk4,nil)
| sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f337,plain,
~ spl0_18,
inference(avatar_split_clause,[],[f11,f334]) ).
fof(f334,plain,
( spl0_18
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f332,plain,
spl0_17,
inference(avatar_split_clause,[],[f10,f329]) ).
fof(f329,plain,
( spl0_17
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f327,plain,
spl0_16,
inference(avatar_split_clause,[],[f9,f324]) ).
fof(f324,plain,
( spl0_16
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f322,plain,
spl0_15,
inference(avatar_split_clause,[],[f8,f319]) ).
fof(f319,plain,
( spl0_15
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f317,plain,
spl0_14,
inference(avatar_split_clause,[],[f7,f314]) ).
fof(f314,plain,
( spl0_14
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f312,plain,
spl0_13,
inference(avatar_split_clause,[],[f6,f309]) ).
fof(f309,plain,
( spl0_13
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f307,plain,
spl0_12,
inference(avatar_split_clause,[],[f5,f304]) ).
fof(f304,plain,
( spl0_12
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f302,plain,
spl0_11,
inference(avatar_split_clause,[],[f4,f299]) ).
fof(f299,plain,
( spl0_11
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f297,plain,
spl0_10,
inference(avatar_split_clause,[],[f3,f294]) ).
fof(f294,plain,
( spl0_10
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f292,plain,
spl0_9,
inference(avatar_split_clause,[],[f2,f289]) ).
fof(f289,plain,
( spl0_9
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f287,plain,
spl0_8,
inference(avatar_split_clause,[],[f1,f284]) ).
fof(f284,plain,
( spl0_8
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f282,plain,
( spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f205,f259,f279]) ).
fof(f205,axiom,
( ~ neq(sk4,nil)
| sk3 = app(sk6,sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
fof(f277,plain,
( ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f203,f274,f259]) ).
fof(f203,axiom,
( ssList(sk7)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f272,plain,
( ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f202,f269,f259]) ).
fof(f202,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f267,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f201,f264,f259]) ).
fof(f201,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f262,plain,
spl0_3,
inference(avatar_split_clause,[],[f247,f259]) ).
fof(f247,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f212]) ).
fof(f212,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(f257,plain,
spl0_2,
inference(avatar_split_clause,[],[f206,f254]) ).
fof(f254,plain,
( spl0_2
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f206,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f252,plain,
spl0_1,
inference(avatar_split_clause,[],[f189,f249]) ).
fof(f249,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
% 0.07/0.12 % Problem : SWC011-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n006.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 03:01:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (31839)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40 % (31845)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.40 % (31842)WARNING: value z3 for option sas not known
% 0.14/0.40 % (31840)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.40 % (31841)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40 % (31843)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.40 % (31844)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.40 % (31842)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.40 % (31846)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)
% 0.22/0.42 % (31844)First to succeed.
% 0.22/0.42 % (31844)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31839"
% 0.22/0.42 % (31844)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.42 % (31844)------------------------------
% 0.22/0.42 % (31844)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.42 % (31844)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (31844)Memory used [KB]: 1118
% 0.22/0.42 % (31844)Time elapsed: 0.018 s
% 0.22/0.42 % (31844)Instructions burned: 17 (million)
% 0.22/0.42 % (31839)Success in time 0.055 s
%------------------------------------------------------------------------------