TSTP Solution File: GEO011-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO011-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 11:12:43 EDT 2024
% Result : Unsatisfiable 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 163
% Syntax : Number of formulae : 268 ( 100 unt; 0 def)
% Number of atoms : 651 ( 76 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 651 ( 268 ~; 300 |; 0 &)
% ( 83 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 88 ( 86 usr; 84 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-6 aty)
% Number of variables : 589 ( 589 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f843,plain,
$false,
inference(avatar_sat_refutation,[],[f117,f122,f127,f132,f137,f142,f147,f151,f155,f159,f163,f167,f171,f175,f179,f185,f189,f193,f197,f201,f205,f209,f213,f217,f221,f225,f229,f233,f237,f241,f273,f282,f288,f292,f296,f300,f305,f309,f313,f317,f321,f359,f363,f373,f377,f381,f385,f390,f407,f419,f423,f437,f441,f445,f449,f453,f457,f461,f482,f496,f500,f504,f508,f529,f533,f537,f588,f592,f596,f600,f610,f643,f647,f651,f710,f719,f736,f740,f744,f772,f785,f812,f821,f842]) ).
fof(f842,plain,
( spl0_5
| spl0_6
| spl0_7
| ~ spl0_1
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f509,f494,f114,f144,f139,f134]) ).
fof(f134,plain,
( spl0_5
<=> between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f139,plain,
( spl0_6
<=> between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f144,plain,
( spl0_7
<=> between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f114,plain,
( spl0_1
<=> colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f494,plain,
( spl0_60
<=> ! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| between(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f509,plain,
( between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)
| between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| ~ spl0_1
| ~ spl0_60 ),
inference(resolution,[],[f495,f116]) ).
fof(f116,plain,
( colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f495,plain,
( ! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| between(X0,X1,X2) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f821,plain,
spl0_83,
inference(avatar_split_clause,[],[f18,f819]) ).
fof(f819,plain,
( spl0_83
<=> ! [X6,X10,X9,X0,X5,X3] :
( ~ between(X3,X5,X0)
| ~ between(X10,X3,X0)
| ~ equidistant(X10,X0,X10,X6)
| ~ equidistant(X10,X3,X10,X9)
| equidistant(X10,X5,X10,continuous(X10,X3,X9,X5,X0,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f18,axiom,
! [X3,X10,X0,X6,X9,X5] :
( ~ between(X3,X5,X0)
| ~ between(X10,X3,X0)
| ~ equidistant(X10,X0,X10,X6)
| ~ equidistant(X10,X3,X10,X9)
| equidistant(X10,X5,X10,continuous(X10,X3,X9,X5,X0,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',continuity2) ).
fof(f812,plain,
spl0_82,
inference(avatar_split_clause,[],[f17,f810]) ).
fof(f810,plain,
( spl0_82
<=> ! [X6,X10,X9,X0,X5,X3] :
( ~ between(X3,X5,X0)
| ~ between(X10,X3,X0)
| ~ equidistant(X10,X0,X10,X6)
| ~ equidistant(X10,X3,X10,X9)
| between(X9,continuous(X10,X3,X9,X5,X0,X6),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f17,axiom,
! [X3,X10,X0,X6,X9,X5] :
( ~ between(X3,X5,X0)
| ~ between(X10,X3,X0)
| ~ equidistant(X10,X0,X10,X6)
| ~ equidistant(X10,X3,X10,X9)
| between(X9,continuous(X10,X3,X9,X5,X0,X6),X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',continuity1) ).
fof(f785,plain,
spl0_81,
inference(avatar_split_clause,[],[f16,f783]) ).
fof(f783,plain,
( spl0_81
<=> ! [X10,X0,X5,X3,X1] :
( X5 = X10
| ~ between(X3,X5,X0)
| ~ between(X10,X5,X1)
| between(euclid1(X10,X3,X5,X0,X1),X1,euclid2(X10,X3,X5,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f16,axiom,
! [X3,X10,X0,X1,X5] :
( X5 = X10
| ~ between(X3,X5,X0)
| ~ between(X10,X5,X1)
| between(euclid1(X10,X3,X5,X0,X1),X1,euclid2(X10,X3,X5,X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',euclid3) ).
fof(f772,plain,
spl0_80,
inference(avatar_split_clause,[],[f106,f770]) ).
fof(f770,plain,
( spl0_80
<=> ! [X3,X10,X0,X5,X2,X1] :
( ~ equidistant(X5,X0,X1,X2)
| extension(extension(X3,X10,lower_dimension_point_1,lower_dimension_point_2),X10,X5,X0) = extension(extension(X3,X10,lower_dimension_point_1,lower_dimension_point_2),X10,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f106,plain,
! [X2,X3,X10,X0,X1,X5] :
( ~ equidistant(X5,X0,X1,X2)
| extension(extension(X3,X10,lower_dimension_point_1,lower_dimension_point_2),X10,X5,X0) = extension(extension(X3,X10,lower_dimension_point_1,lower_dimension_point_2),X10,X1,X2) ),
inference(definition_unfolding,[],[f79,f24,f24]) ).
fof(f24,axiom,
! [X3,X10,X11,X12] : insertion(X11,X12,X10,X3) = extension(extension(X12,X11,lower_dimension_point_1,lower_dimension_point_2),X11,X10,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',insertion) ).
fof(f79,axiom,
! [X2,X3,X10,X0,X1,X5] :
( ~ equidistant(X5,X0,X1,X2)
| insertion(X10,X3,X5,X0) = insertion(X10,X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i4) ).
fof(f744,plain,
spl0_79,
inference(avatar_split_clause,[],[f80,f742]) ).
fof(f742,plain,
( spl0_79
<=> ! [X11,X9,X10,X12,X5,X3] :
( ~ between(X10,X3,X5)
| between(X11,X9,X12)
| ~ equidistant(X10,X5,X11,X12)
| ~ equidistant(X3,X5,X9,X12)
| ~ equidistant(X10,X3,X11,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f80,axiom,
! [X3,X10,X11,X9,X5,X12] :
( ~ between(X10,X3,X5)
| between(X11,X9,X12)
| ~ equidistant(X10,X5,X11,X12)
| ~ equidistant(X3,X5,X9,X12)
| ~ equidistant(X10,X3,X11,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b11) ).
fof(f740,plain,
spl0_78,
inference(avatar_split_clause,[],[f72,f738]) ).
fof(f738,plain,
( spl0_78
<=> ! [X11,X9,X10,X12,X5,X3] :
( ~ between(X10,X3,X5)
| ~ between(X11,X9,X12)
| ~ equidistant(X10,X5,X11,X12)
| ~ equidistant(X10,X3,X11,X9)
| equidistant(X3,X5,X9,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f72,axiom,
! [X3,X10,X11,X9,X5,X12] :
( ~ between(X10,X3,X5)
| ~ between(X11,X9,X12)
| ~ equidistant(X10,X5,X11,X12)
| ~ equidistant(X10,X3,X11,X9)
| equidistant(X3,X5,X9,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13) ).
fof(f736,plain,
spl0_77,
inference(avatar_split_clause,[],[f42,f734]) ).
fof(f734,plain,
( spl0_77
<=> ! [X5,X10,X11,X12,X9,X3] :
( ~ between(X11,X9,X12)
| ~ between(X10,X3,X5)
| ~ equidistant(X3,X5,X9,X12)
| ~ equidistant(X10,X3,X11,X9)
| equidistant(X10,X5,X11,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f42,axiom,
! [X3,X10,X11,X9,X5,X12] :
( ~ between(X11,X9,X12)
| ~ between(X10,X3,X5)
| ~ equidistant(X3,X5,X9,X12)
| ~ equidistant(X10,X3,X11,X9)
| equidistant(X10,X5,X11,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8) ).
fof(f719,plain,
spl0_76,
inference(avatar_split_clause,[],[f108,f717]) ).
fof(f717,plain,
( spl0_76
<=> ! [X11,X10,X12,X5,X3] :
( ~ between(X10,X3,X5)
| ~ equidistant(X10,X5,X11,X12)
| equidistant(X3,X5,extension(extension(X12,X11,lower_dimension_point_1,lower_dimension_point_2),X11,X10,X3),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f108,plain,
! [X3,X10,X11,X5,X12] :
( ~ between(X10,X3,X5)
| ~ equidistant(X10,X5,X11,X12)
| equidistant(X3,X5,extension(extension(X12,X11,lower_dimension_point_1,lower_dimension_point_2),X11,X10,X3),X12) ),
inference(definition_unfolding,[],[f77,f24]) ).
fof(f77,axiom,
! [X3,X10,X11,X5,X12] :
( ~ between(X10,X3,X5)
| ~ equidistant(X10,X5,X11,X12)
| equidistant(X3,X5,insertion(X11,X12,X10,X3),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i2_3) ).
fof(f710,plain,
spl0_75,
inference(avatar_split_clause,[],[f107,f708]) ).
fof(f708,plain,
( spl0_75
<=> ! [X11,X10,X12,X5,X3] :
( ~ between(X10,X3,X5)
| ~ equidistant(X10,X5,X11,X12)
| between(X11,extension(extension(X12,X11,lower_dimension_point_1,lower_dimension_point_2),X11,X10,X3),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f107,plain,
! [X3,X10,X11,X5,X12] :
( ~ between(X10,X3,X5)
| ~ equidistant(X10,X5,X11,X12)
| between(X11,extension(extension(X12,X11,lower_dimension_point_1,lower_dimension_point_2),X11,X10,X3),X12) ),
inference(definition_unfolding,[],[f76,f24]) ).
fof(f76,axiom,
! [X3,X10,X11,X5,X12] :
( ~ between(X10,X3,X5)
| ~ equidistant(X10,X5,X11,X12)
| between(X11,insertion(X11,X12,X10,X3),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i2_2) ).
fof(f651,plain,
spl0_74,
inference(avatar_split_clause,[],[f70,f649]) ).
fof(f649,plain,
( spl0_74
<=> ! [X10,X12,X5,X3] :
( X5 = X12
| X3 = X10
| ~ between(X10,X3,X5)
| ~ equidistant(X3,X5,X3,X12)
| ~ equidistant(X10,X5,X10,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f70,axiom,
! [X3,X10,X5,X12] :
( X5 = X12
| X3 = X10
| ~ between(X10,X3,X5)
| ~ equidistant(X3,X5,X3,X12)
| ~ equidistant(X10,X5,X10,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11) ).
fof(f647,plain,
spl0_73,
inference(avatar_split_clause,[],[f15,f645]) ).
fof(f645,plain,
( spl0_73
<=> ! [X10,X0,X5,X3,X1] :
( X5 = X10
| ~ between(X3,X5,X0)
| ~ between(X10,X5,X1)
| between(X10,X0,euclid2(X10,X3,X5,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f15,axiom,
! [X3,X10,X0,X1,X5] :
( X5 = X10
| ~ between(X3,X5,X0)
| ~ between(X10,X5,X1)
| between(X10,X0,euclid2(X10,X3,X5,X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',euclid2) ).
fof(f643,plain,
spl0_72,
inference(avatar_split_clause,[],[f14,f641]) ).
fof(f641,plain,
( spl0_72
<=> ! [X10,X0,X5,X3,X1] :
( X5 = X10
| ~ between(X3,X5,X0)
| ~ between(X10,X5,X1)
| between(X10,X3,euclid1(X10,X3,X5,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f14,axiom,
! [X3,X10,X0,X1,X5] :
( X5 = X10
| ~ between(X3,X5,X0)
| ~ between(X10,X5,X1)
| between(X10,X3,euclid1(X10,X3,X5,X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',euclid1) ).
fof(f610,plain,
spl0_71,
inference(avatar_split_clause,[],[f83,f608]) ).
fof(f608,plain,
( spl0_71
<=> ! [X10,X0,X5,X3] :
( X0 = X5
| ~ between(X10,X5,X0)
| ~ between(X3,X5,X0)
| between(X3,X10,X5)
| between(X10,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f83,axiom,
! [X3,X10,X0,X5] :
( X0 = X5
| ~ between(X10,X5,X0)
| ~ between(X3,X5,X0)
| between(X3,X10,X5)
| between(X10,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7) ).
fof(f600,plain,
spl0_70,
inference(avatar_split_clause,[],[f82,f598]) ).
fof(f598,plain,
( spl0_70
<=> ! [X10,X0,X5,X3] :
( X3 = X10
| ~ between(X10,X3,X5)
| ~ between(X10,X3,X0)
| between(X3,X0,X5)
| between(X3,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f82,axiom,
! [X3,X10,X0,X5] :
( X3 = X10
| ~ between(X10,X3,X5)
| ~ between(X10,X3,X0)
| between(X3,X0,X5)
| between(X3,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b13) ).
fof(f596,plain,
spl0_69,
inference(avatar_split_clause,[],[f81,f594]) ).
fof(f594,plain,
( spl0_69
<=> ! [X10,X0,X5,X3] :
( X3 = X10
| ~ between(X10,X3,X5)
| ~ between(X10,X3,X0)
| between(X10,X0,X5)
| between(X10,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f81,axiom,
! [X3,X10,X0,X5] :
( X3 = X10
| ~ between(X10,X3,X5)
| ~ between(X10,X3,X0)
| between(X10,X0,X5)
| between(X10,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b12) ).
fof(f592,plain,
spl0_68,
inference(avatar_split_clause,[],[f45,f590]) ).
fof(f590,plain,
( spl0_68
<=> ! [X5,X10,X0,X3,X2,X1] :
( X3 = X10
| ~ equidistant(X5,X0,X1,X2)
| extension(X10,X3,X5,X0) = extension(X10,X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f45,axiom,
! [X2,X3,X10,X0,X1,X5] :
( X3 = X10
| ~ equidistant(X5,X0,X1,X2)
| extension(X10,X3,X5,X0) = extension(X10,X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_2) ).
fof(f588,plain,
spl0_67,
inference(avatar_split_clause,[],[f43,f586]) ).
fof(f586,plain,
( spl0_67
<=> ! [X10,X0,X5,X3] :
( X0 = X5
| X3 = X10
| ~ between(X10,X3,X5)
| ~ between(X10,X3,X0)
| ~ equidistant(X3,X5,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f43,axiom,
! [X3,X10,X0,X5] :
( X0 = X5
| X3 = X10
| ~ between(X10,X3,X5)
| ~ between(X10,X3,X0)
| ~ equidistant(X3,X5,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9) ).
fof(f537,plain,
spl0_66,
inference(avatar_split_clause,[],[f74,f535]) ).
fof(f535,plain,
( spl0_66
<=> ! [X10,X0,X5,X3] :
( X0 = X3
| ~ between(X10,X3,X5)
| ~ equidistant(X5,X3,X5,X0)
| ~ equidistant(X10,X3,X10,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f74,axiom,
! [X3,X10,X0,X5] :
( X0 = X3
| ~ between(X10,X3,X5)
| ~ equidistant(X5,X3,X5,X0)
| ~ equidistant(X10,X3,X10,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d15) ).
fof(f533,plain,
spl0_65,
inference(avatar_split_clause,[],[f9,f531]) ).
fof(f531,plain,
( spl0_65
<=> ! [X10,X0,X5,X3,X1] :
( ~ between(X10,X3,X5)
| ~ between(X1,X0,X5)
| between(X0,inner_pasch(X10,X3,X5,X0,X1),X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f9,axiom,
! [X3,X10,X0,X1,X5] :
( ~ between(X10,X3,X5)
| ~ between(X1,X0,X5)
| between(X0,inner_pasch(X10,X3,X5,X0,X1),X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch2) ).
fof(f529,plain,
spl0_64,
inference(avatar_split_clause,[],[f8,f527]) ).
fof(f527,plain,
( spl0_64
<=> ! [X10,X0,X5,X3,X1] :
( ~ between(X10,X3,X5)
| ~ between(X1,X0,X5)
| between(X3,inner_pasch(X10,X3,X5,X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f8,axiom,
! [X3,X10,X0,X1,X5] :
( ~ between(X10,X3,X5)
| ~ between(X1,X0,X5)
| between(X3,inner_pasch(X10,X3,X5,X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch1) ).
fof(f508,plain,
spl0_63,
inference(avatar_split_clause,[],[f86,f506]) ).
fof(f506,plain,
( spl0_63
<=> ! [X5,X10,X0,X3,X1] :
( ~ between(X10,X3,X1)
| ~ between(X10,X0,X1)
| ~ between(X3,X5,X0)
| between(X10,X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f86,axiom,
! [X3,X10,X0,X1,X5] :
( ~ between(X10,X3,X1)
| ~ between(X10,X0,X1)
| ~ between(X3,X5,X0)
| between(X10,X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8) ).
fof(f504,plain,
spl0_62,
inference(avatar_split_clause,[],[f85,f502]) ).
fof(f502,plain,
( spl0_62
<=> ! [X10,X0,X5,X3] :
( ~ between(X10,X5,X0)
| ~ between(X10,X3,X0)
| between(X5,X3,X0)
| between(X3,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f85,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X5,X0)
| ~ between(X10,X3,X0)
| between(X5,X3,X0)
| between(X3,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b14) ).
fof(f500,plain,
spl0_61,
inference(avatar_split_clause,[],[f84,f498]) ).
fof(f498,plain,
( spl0_61
<=> ! [X10,X0,X5,X3] :
( ~ between(X10,X5,X0)
| ~ between(X10,X3,X0)
| between(X10,X5,X3)
| between(X10,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f84,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X5,X0)
| ~ between(X10,X3,X0)
| between(X10,X5,X3)
| between(X10,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9) ).
fof(f496,plain,
spl0_60,
inference(avatar_split_clause,[],[f22,f494]) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity4) ).
fof(f482,plain,
( spl0_59
| ~ spl0_1
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f276,f235,f114,f479]) ).
fof(f479,plain,
( spl0_59
<=> colinear(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f235,plain,
( spl0_29
<=> ! [X5,X3,X10] :
( ~ colinear(X10,X3,X5)
| colinear(X3,X10,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f276,plain,
( colinear(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| ~ spl0_1
| ~ spl0_29 ),
inference(resolution,[],[f236,f116]) ).
fof(f236,plain,
( ! [X3,X10,X5] :
( ~ colinear(X10,X3,X5)
| colinear(X3,X10,X5) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f461,plain,
spl0_58,
inference(avatar_split_clause,[],[f105,f459]) ).
fof(f459,plain,
( spl0_58
<=> ! [X5,X3,X10] :
( ~ between(X10,X3,X5)
| extension(extension(X5,X10,lower_dimension_point_1,lower_dimension_point_2),X10,X10,X3) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f105,plain,
! [X3,X10,X5] :
( ~ between(X10,X3,X5)
| extension(extension(X5,X10,lower_dimension_point_1,lower_dimension_point_2),X10,X10,X3) = X3 ),
inference(definition_unfolding,[],[f78,f24]) ).
fof(f78,axiom,
! [X3,X10,X5] :
( ~ between(X10,X3,X5)
| insertion(X10,X5,X10,X3) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i3) ).
fof(f457,plain,
spl0_57,
inference(avatar_split_clause,[],[f99,f455]) ).
fof(f455,plain,
( spl0_57
<=> ! [X3,X10] : extension(extension(X10,X3,X10,X3),X3,extension(X10,X3,X10,X3),X3) = X10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f99,plain,
! [X3,X10] : extension(extension(X10,X3,X10,X3),X3,extension(X10,X3,X10,X3),X3) = X10,
inference(definition_unfolding,[],[f48,f23,f23]) ).
fof(f23,axiom,
! [X3,X10] : reflection(X10,X3) = extension(X10,X3,X10,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflection) ).
fof(f48,axiom,
! [X3,X10] : reflection(reflection(X10,X3),X3) = X10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r6) ).
fof(f453,plain,
spl0_56,
inference(avatar_split_clause,[],[f60,f451]) ).
fof(f451,plain,
( spl0_56
<=> ! [X10,X0,X5,X3] :
( X3 = X5
| ~ between(X10,X3,X5)
| ~ between(X3,X5,X0)
| between(X10,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f60,axiom,
! [X3,X10,X0,X5] :
( X3 = X5
| ~ between(X10,X3,X5)
| ~ between(X3,X5,X0)
| between(X10,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b7) ).
fof(f449,plain,
spl0_55,
inference(avatar_split_clause,[],[f59,f447]) ).
fof(f447,plain,
( spl0_55
<=> ! [X10,X0,X5,X3] :
( X3 = X5
| ~ between(X10,X3,X5)
| ~ between(X3,X5,X0)
| between(X10,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f59,axiom,
! [X3,X10,X0,X5] :
( X3 = X5
| ~ between(X10,X3,X5)
| ~ between(X3,X5,X0)
| between(X10,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b6) ).
fof(f445,plain,
spl0_54,
inference(avatar_split_clause,[],[f33,f443]) ).
fof(f443,plain,
( spl0_54
<=> ! [X2,X10,X0,X5,X3,X1] :
( ~ equidistant(X10,X3,X5,X0)
| ~ equidistant(X5,X0,X1,X2)
| equidistant(X10,X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f33,axiom,
! [X2,X3,X10,X0,X1,X5] :
( ~ equidistant(X10,X3,X5,X0)
| ~ equidistant(X5,X0,X1,X2)
| equidistant(X10,X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5) ).
fof(f441,plain,
spl0_53,
inference(avatar_split_clause,[],[f2,f439]) ).
fof(f439,plain,
( spl0_53
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
fof(f437,plain,
( spl0_52
| ~ spl0_1
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f275,f231,f114,f434]) ).
fof(f434,plain,
( spl0_52
<=> colinear(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f231,plain,
( spl0_28
<=> ! [X5,X3,X10] :
( ~ colinear(X10,X3,X5)
| colinear(X5,X10,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f275,plain,
( colinear(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)
| ~ spl0_1
| ~ spl0_28 ),
inference(resolution,[],[f232,f116]) ).
fof(f232,plain,
( ! [X3,X10,X5] :
( ~ colinear(X10,X3,X5)
| colinear(X5,X10,X3) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f423,plain,
spl0_51,
inference(avatar_split_clause,[],[f46,f421]) ).
fof(f421,plain,
( spl0_51
<=> ! [X3,X10] :
( X3 = X10
| extension(X10,X3,X10,X3) = extension(X10,X3,X3,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f46,axiom,
! [X3,X10] :
( X3 = X10
| extension(X10,X3,X10,X3) = extension(X10,X3,X3,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_3) ).
fof(f419,plain,
spl0_50,
inference(avatar_split_clause,[],[f44,f417]) ).
fof(f417,plain,
( spl0_50
<=> ! [X5,X3,X10] :
( X3 = X10
| ~ between(X10,X3,X5)
| extension(X10,X3,X3,X5) = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f44,axiom,
! [X3,X10,X5] :
( X3 = X10
| ~ between(X10,X3,X5)
| extension(X10,X3,X3,X5) = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_1) ).
fof(f407,plain,
spl0_49,
inference(avatar_split_clause,[],[f67,f405]) ).
fof(f405,plain,
( spl0_49
<=> ! [X10,X0,X5,X3] : equidistant(X3,extension(X10,X3,lower_dimension_point_1,lower_dimension_point_2),X0,extension(X5,X0,lower_dimension_point_1,lower_dimension_point_2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f67,axiom,
! [X3,X10,X0,X5] : equidistant(X3,extension(X10,X3,lower_dimension_point_1,lower_dimension_point_2),X0,extension(X5,X0,lower_dimension_point_1,lower_dimension_point_2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e3_2) ).
fof(f390,plain,
( spl0_48
| ~ spl0_1
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f274,f227,f114,f387]) ).
fof(f387,plain,
( spl0_48
<=> colinear(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f227,plain,
( spl0_27
<=> ! [X5,X3,X10] :
( ~ colinear(X10,X3,X5)
| colinear(X10,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f274,plain,
( colinear(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| ~ spl0_1
| ~ spl0_27 ),
inference(resolution,[],[f228,f116]) ).
fof(f228,plain,
( ! [X3,X10,X5] :
( ~ colinear(X10,X3,X5)
| colinear(X10,X5,X3) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f385,plain,
spl0_47,
inference(avatar_split_clause,[],[f87,f383]) ).
fof(f383,plain,
( spl0_47
<=> ! [X5,X3,X10] :
( X3 = X5
| ~ between(X10,X3,X5)
| ~ equidistant(X10,X3,X10,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f87,axiom,
! [X3,X10,X5] :
( X3 = X5
| ~ between(X10,X3,X5)
| ~ equidistant(X10,X3,X10,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b15) ).
fof(f381,plain,
spl0_46,
inference(avatar_split_clause,[],[f62,f379]) ).
fof(f379,plain,
( spl0_46
<=> ! [X10,X0,X5,X3] :
( ~ between(X10,X3,X5)
| ~ between(X10,X5,X0)
| between(X10,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f62,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X3,X5)
| ~ between(X10,X5,X0)
| between(X10,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b9) ).
fof(f377,plain,
spl0_45,
inference(avatar_split_clause,[],[f61,f375]) ).
fof(f375,plain,
( spl0_45
<=> ! [X10,X0,X5,X3] :
( ~ between(X10,X3,X0)
| ~ between(X3,X5,X0)
| between(X10,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f61,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X3,X0)
| ~ between(X3,X5,X0)
| between(X10,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b8) ).
fof(f373,plain,
spl0_44,
inference(avatar_split_clause,[],[f58,f371]) ).
fof(f371,plain,
( spl0_44
<=> ! [X10,X0,X5,X3] :
( ~ between(X10,X3,X5)
| ~ between(X10,X5,X0)
| between(X3,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f58,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X3,X5)
| ~ between(X10,X5,X0)
| between(X3,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).
fof(f363,plain,
spl0_43,
inference(avatar_split_clause,[],[f54,f361]) ).
fof(f361,plain,
( spl0_43
<=> ! [X5,X3,X10] :
( X3 = X5
| ~ between(X10,X5,X3)
| ~ between(X10,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f54,axiom,
! [X3,X10,X5] :
( X3 = X5
| ~ between(X10,X5,X3)
| ~ between(X10,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b3) ).
fof(f359,plain,
spl0_42,
inference(avatar_split_clause,[],[f53,f357]) ).
fof(f357,plain,
( spl0_42
<=> ! [X5,X3,X10] :
( X3 = X10
| ~ between(X3,X10,X5)
| ~ between(X10,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f53,axiom,
! [X3,X10,X5] :
( X3 = X10
| ~ between(X3,X10,X5)
| ~ between(X10,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b2) ).
fof(f321,plain,
spl0_41,
inference(avatar_split_clause,[],[f104,f319]) ).
fof(f319,plain,
( spl0_41
<=> ! [X3,X10] :
( X3 = X10
| extension(X10,X3,X10,X3) != X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f104,plain,
! [X3,X10] :
( X3 = X10
| extension(X10,X3,X10,X3) != X3 ),
inference(definition_unfolding,[],[f40,f23]) ).
fof(f40,axiom,
! [X3,X10] :
( X3 = X10
| reflection(X10,X3) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r4) ).
fof(f317,plain,
spl0_40,
inference(avatar_split_clause,[],[f32,f315]) ).
fof(f315,plain,
( spl0_40
<=> ! [X10,X0,X5,X3] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X0,X5,X3,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f32,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X0,X5,X3,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_5) ).
fof(f313,plain,
spl0_39,
inference(avatar_split_clause,[],[f31,f311]) ).
fof(f311,plain,
( spl0_39
<=> ! [X10,X0,X5,X3] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X0,X5,X10,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f31,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X0,X5,X10,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_4) ).
fof(f309,plain,
spl0_38,
inference(avatar_split_clause,[],[f30,f307]) ).
fof(f307,plain,
( spl0_38
<=> ! [X10,X0,X5,X3] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X5,X0,X3,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f30,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X5,X0,X3,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_3) ).
fof(f305,plain,
( spl0_37
| ~ spl0_1
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f268,f223,f114,f302]) ).
fof(f302,plain,
( spl0_37
<=> colinear(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f223,plain,
( spl0_26
<=> ! [X5,X3,X10] :
( ~ colinear(X10,X3,X5)
| colinear(X3,X5,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f268,plain,
( colinear(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| ~ spl0_1
| ~ spl0_26 ),
inference(resolution,[],[f224,f116]) ).
fof(f224,plain,
( ! [X3,X10,X5] :
( ~ colinear(X10,X3,X5)
| colinear(X3,X5,X10) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f300,plain,
spl0_36,
inference(avatar_split_clause,[],[f29,f298]) ).
fof(f298,plain,
( spl0_36
<=> ! [X10,X0,X5,X3] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X3,X10,X0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f29,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X3,X10,X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_2) ).
fof(f296,plain,
spl0_35,
inference(avatar_split_clause,[],[f28,f294]) ).
fof(f294,plain,
( spl0_35
<=> ! [X10,X0,X5,X3] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X10,X3,X0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f28,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X10,X3,X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_1) ).
fof(f292,plain,
spl0_34,
inference(avatar_split_clause,[],[f27,f290]) ).
fof(f290,plain,
( spl0_34
<=> ! [X10,X0,X5,X3] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X3,X10,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f27,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X3,X10,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3) ).
fof(f288,plain,
spl0_33,
inference(avatar_split_clause,[],[f26,f286]) ).
fof(f286,plain,
( spl0_33
<=> ! [X10,X0,X5,X3] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X5,X0,X10,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f26,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X5,X0,X10,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
fof(f282,plain,
spl0_32,
inference(avatar_split_clause,[],[f5,f280]) ).
fof(f280,plain,
( spl0_32
<=> ! [X3,X0,X5,X1] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f5,axiom,
! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).
fof(f273,plain,
( spl0_31
| ~ spl0_1
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f267,f219,f114,f270]) ).
fof(f270,plain,
( spl0_31
<=> colinear(lower_dimension_point_3,lower_dimension_point_2,lower_dimension_point_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f219,plain,
( spl0_25
<=> ! [X5,X3,X10] :
( ~ colinear(X10,X3,X5)
| colinear(X5,X3,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f267,plain,
( colinear(lower_dimension_point_3,lower_dimension_point_2,lower_dimension_point_1)
| ~ spl0_1
| ~ spl0_25 ),
inference(resolution,[],[f220,f116]) ).
fof(f220,plain,
( ! [X3,X10,X5] :
( ~ colinear(X10,X3,X5)
| colinear(X5,X3,X10) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f241,plain,
spl0_30,
inference(avatar_split_clause,[],[f111,f239]) ).
fof(f239,plain,
( spl0_30
<=> ! [X5,X3,X10] :
( ~ between(X10,X5,X10)
| between(X3,X5,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f111,plain,
! [X3,X10,X5] :
( ~ between(X10,X5,X10)
| between(X3,X5,X10) ),
inference(equality_resolution,[],[f50]) ).
fof(f50,axiom,
! [X3,X10,X0,X5] :
( X0 != X10
| ~ between(X10,X5,X0)
| between(X3,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b1) ).
fof(f237,plain,
spl0_29,
inference(avatar_split_clause,[],[f95,f235]) ).
fof(f95,axiom,
! [X3,X10,X5] :
( ~ colinear(X10,X3,X5)
| colinear(X3,X10,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_5) ).
fof(f233,plain,
spl0_28,
inference(avatar_split_clause,[],[f94,f231]) ).
fof(f94,axiom,
! [X3,X10,X5] :
( ~ colinear(X10,X3,X5)
| colinear(X5,X10,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_4) ).
fof(f229,plain,
spl0_27,
inference(avatar_split_clause,[],[f93,f227]) ).
fof(f93,axiom,
! [X3,X10,X5] :
( ~ colinear(X10,X3,X5)
| colinear(X10,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_3) ).
fof(f225,plain,
spl0_26,
inference(avatar_split_clause,[],[f92,f223]) ).
fof(f92,axiom,
! [X3,X10,X5] :
( ~ colinear(X10,X3,X5)
| colinear(X3,X5,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_2) ).
fof(f221,plain,
spl0_25,
inference(avatar_split_clause,[],[f91,f219]) ).
fof(f91,axiom,
! [X3,X10,X5] :
( ~ colinear(X10,X3,X5)
| colinear(X5,X3,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_1) ).
fof(f217,plain,
spl0_24,
inference(avatar_split_clause,[],[f90,f215]) ).
fof(f215,plain,
( spl0_24
<=> ! [X5,X3,X10] :
( ~ between(X3,X10,X5)
| colinear(X10,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f90,axiom,
! [X3,X10,X5] :
( ~ between(X3,X10,X5)
| colinear(X10,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_3) ).
fof(f213,plain,
spl0_23,
inference(avatar_split_clause,[],[f89,f211]) ).
fof(f211,plain,
( spl0_23
<=> ! [X5,X3,X10] :
( ~ between(X10,X5,X3)
| colinear(X10,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f89,axiom,
! [X3,X10,X5] :
( ~ between(X10,X5,X3)
| colinear(X10,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_2) ).
fof(f209,plain,
spl0_22,
inference(avatar_split_clause,[],[f88,f207]) ).
fof(f207,plain,
( spl0_22
<=> ! [X5,X3,X10] :
( ~ between(X5,X3,X10)
| colinear(X10,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f88,axiom,
! [X3,X10,X5] :
( ~ between(X5,X3,X10)
| colinear(X10,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_1) ).
fof(f205,plain,
spl0_21,
inference(avatar_split_clause,[],[f51,f203]) ).
fof(f203,plain,
( spl0_21
<=> ! [X5,X3,X10] :
( ~ between(X10,X3,X5)
| between(X5,X3,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f51,axiom,
! [X3,X10,X5] :
( ~ between(X10,X3,X5)
| between(X5,X3,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
fof(f201,plain,
spl0_20,
inference(avatar_split_clause,[],[f21,f199]) ).
fof(f199,plain,
( spl0_20
<=> ! [X2,X0,X1] :
( ~ between(X2,X0,X1)
| colinear(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ between(X2,X0,X1)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity3) ).
fof(f197,plain,
spl0_19,
inference(avatar_split_clause,[],[f20,f195]) ).
fof(f195,plain,
( spl0_19
<=> ! [X2,X0,X1] :
( ~ between(X1,X2,X0)
| colinear(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ between(X1,X2,X0)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity2) ).
fof(f193,plain,
spl0_18,
inference(avatar_split_clause,[],[f19,f191]) ).
fof(f191,plain,
( spl0_18
<=> ! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity1) ).
fof(f189,plain,
spl0_17,
inference(avatar_split_clause,[],[f4,f187]) ).
fof(f187,plain,
( spl0_17
<=> ! [X3,X0,X5,X1] : between(X0,X1,extension(X0,X1,X5,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f4,axiom,
! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).
fof(f185,plain,
spl0_16,
inference(avatar_split_clause,[],[f3,f183]) ).
fof(f183,plain,
( spl0_16
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ equidistant(X0,X1,X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( X0 = X1
| ~ equidistant(X0,X1,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f179,plain,
spl0_15,
inference(avatar_split_clause,[],[f66,f177]) ).
fof(f177,plain,
( spl0_15
<=> ! [X3,X10] : extension(X10,X3,lower_dimension_point_1,lower_dimension_point_2) != X3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f66,axiom,
! [X3,X10] : extension(X10,X3,lower_dimension_point_1,lower_dimension_point_2) != X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e3_1) ).
fof(f175,plain,
spl0_14,
inference(avatar_split_clause,[],[f34,f173]) ).
fof(f173,plain,
( spl0_14
<=> ! [X5,X3,X10] : extension(X10,X3,X5,X5) = X3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f34,axiom,
! [X3,X10,X5] : extension(X10,X3,X5,X5) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e1) ).
fof(f171,plain,
spl0_13,
inference(avatar_split_clause,[],[f7,f169]) ).
fof(f169,plain,
( spl0_13
<=> ! [X0,X1] :
( X0 = X1
| ~ between(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ between(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f167,plain,
spl0_12,
inference(avatar_split_clause,[],[f41,f165]) ).
fof(f165,plain,
( spl0_12
<=> ! [X3,X10] : equidistant(X10,X10,X3,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f41,axiom,
! [X3,X10] : equidistant(X10,X10,X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7) ).
fof(f163,plain,
spl0_11,
inference(avatar_split_clause,[],[f25,f161]) ).
fof(f161,plain,
( spl0_11
<=> ! [X3,X10] : equidistant(X10,X3,X10,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f25,axiom,
! [X3,X10] : equidistant(X10,X3,X10,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
fof(f159,plain,
spl0_10,
inference(avatar_split_clause,[],[f1,f157]) ).
fof(f157,plain,
( spl0_10
<=> ! [X0,X1] : equidistant(X0,X1,X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).
fof(f155,plain,
spl0_9,
inference(avatar_split_clause,[],[f52,f153]) ).
fof(f153,plain,
( spl0_9
<=> ! [X3,X10] : between(X10,X10,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f52,axiom,
! [X3,X10] : between(X10,X10,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2) ).
fof(f151,plain,
spl0_8,
inference(avatar_split_clause,[],[f49,f149]) ).
fof(f149,plain,
( spl0_8
<=> ! [X3,X10] : between(X10,X3,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f49,axiom,
! [X3,X10] : between(X10,X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3) ).
fof(f147,plain,
~ spl0_7,
inference(avatar_split_clause,[],[f12,f144]) ).
fof(f12,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension3) ).
fof(f142,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f11,f139]) ).
fof(f11,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension2) ).
fof(f137,plain,
~ spl0_5,
inference(avatar_split_clause,[],[f10,f134]) ).
fof(f10,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension1) ).
fof(f132,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f65,f129]) ).
fof(f129,plain,
( spl0_4
<=> lower_dimension_point_1 = lower_dimension_point_3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f65,axiom,
lower_dimension_point_1 != lower_dimension_point_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e2_3) ).
fof(f127,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f64,f124]) ).
fof(f124,plain,
( spl0_3
<=> lower_dimension_point_2 = lower_dimension_point_3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f64,axiom,
lower_dimension_point_2 != lower_dimension_point_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e2_2) ).
fof(f122,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f63,f119]) ).
fof(f119,plain,
( spl0_2
<=> lower_dimension_point_1 = lower_dimension_point_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f63,axiom,
lower_dimension_point_1 != lower_dimension_point_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e2_1) ).
fof(f117,plain,
spl0_1,
inference(avatar_split_clause,[],[f96,f114]) ).
fof(f96,axiom,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lower_dimension_points_not_colinear) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO011-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 06:22:29 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (23675)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (23680)WARNING: value z3 for option sas not known
% 0.20/0.38 % (23681)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38 % (23678)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 % (23682)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.38 % (23679)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 % (23680)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.38 % (23683)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.38 % (23684)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.38 Detected minimum model sizes of [3]
% 0.20/0.38 Detected maximum model sizes of [max]
% 0.20/0.39 TRYING [3]
% 0.20/0.40 Detected minimum model sizes of [3]
% 0.20/0.40 Detected maximum model sizes of [max]
% 0.20/0.40 TRYING [3]
% 0.20/0.41 % (23682)First to succeed.
% 0.20/0.42 % (23682)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.42 % (23682)------------------------------
% 0.20/0.42 % (23682)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.42 % (23682)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (23682)Memory used [KB]: 1355
% 0.20/0.42 % (23682)Time elapsed: 0.042 s
% 0.20/0.42 % (23682)Instructions burned: 68 (million)
% 0.20/0.42 % (23682)------------------------------
% 0.20/0.42 % (23682)------------------------------
% 0.20/0.42 % (23675)Success in time 0.061 s
%------------------------------------------------------------------------------