TSTP Solution File: GEO012-3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO012-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n007.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 : Wed Aug 30 23:30:08 EDT 2023
% Result : Unsatisfiable 2.23s 0.74s
% Output : Refutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 61
% Syntax : Number of formulae : 309 ( 10 unt; 0 def)
% Number of atoms : 875 ( 36 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 970 ( 404 ~; 535 |; 0 &)
% ( 31 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 32 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 123 (; 123 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9834,plain,
$false,
inference(avatar_sat_refutation,[],[f118,f235,f249,f251,f306,f309,f312,f339,f471,f494,f517,f521,f578,f605,f837,f902,f1121,f1334,f1338,f2805,f2842,f2845,f2891,f2892,f2933,f3536,f3537,f3845,f3874,f3877,f3879,f3892,f3906,f4014,f4098,f4112,f4359,f5199,f5231,f5647,f5823,f5855,f5863,f5996,f6871,f6883,f6915,f7087,f7442,f7637,f7642,f7670,f7965,f7970,f8151,f8716,f9136,f9144,f9583,f9821]) ).
fof(f9821,plain,
( ~ spl0_118
| spl0_154 ),
inference(avatar_contradiction_clause,[],[f9820]) ).
fof(f9820,plain,
( $false
| ~ spl0_118
| spl0_154 ),
inference(subsumption_resolution,[],[f9801,f3839]) ).
fof(f3839,plain,
( ~ between(b,d,c)
| spl0_154 ),
inference(avatar_component_clause,[],[f3838]) ).
fof(f3838,plain,
( spl0_154
<=> between(b,d,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f9801,plain,
( between(b,d,c)
| ~ spl0_118 ),
inference(resolution,[],[f2800,f51]) ).
fof(f51,axiom,
! [X3,X10,X5] :
( ~ between(X10,X3,X5)
| between(X5,X3,X10) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',t1) ).
fof(f2800,plain,
( between(c,d,b)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f2798]) ).
fof(f2798,plain,
( spl0_118
<=> between(c,d,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f9583,plain,
( ~ spl0_3
| ~ spl0_24
| spl0_37 ),
inference(avatar_contradiction_clause,[],[f9582]) ).
fof(f9582,plain,
( $false
| ~ spl0_3
| ~ spl0_24
| spl0_37 ),
inference(subsumption_resolution,[],[f9574,f610]) ).
fof(f610,plain,
( ~ between(a,d,c)
| spl0_37 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f608,plain,
( spl0_37
<=> between(a,d,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f9574,plain,
( between(a,d,c)
| ~ spl0_3
| ~ spl0_24 ),
inference(resolution,[],[f9159,f400]) ).
fof(f400,plain,
( between(a,d,b)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f398,plain,
( spl0_24
<=> between(a,d,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f9159,plain,
( ! [X4] :
( ~ between(a,X4,b)
| between(a,X4,c) )
| ~ spl0_3 ),
inference(resolution,[],[f128,f62]) ).
fof(f62,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X5,X0)
| ~ between(X10,X3,X5)
| between(X10,X3,X0) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',b9) ).
fof(f128,plain,
( between(a,b,c)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl0_3
<=> between(a,b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f9144,plain,
( spl0_215
| spl0_119
| ~ spl0_2
| spl0_154 ),
inference(avatar_split_clause,[],[f8723,f3838,f115,f2802,f5690]) ).
fof(f5690,plain,
( spl0_215
<=> between(d,c,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f2802,plain,
( spl0_119
<=> between(c,b,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f115,plain,
( spl0_2
<=> colinear(b,c,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f8723,plain,
( between(c,b,d)
| between(d,c,b)
| ~ spl0_2
| spl0_154 ),
inference(subsumption_resolution,[],[f7464,f3839]) ).
fof(f7464,plain,
( between(b,d,c)
| between(c,b,d)
| between(d,c,b)
| ~ spl0_2 ),
inference(resolution,[],[f7449,f22]) ).
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/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',colinearity4) ).
fof(f7449,plain,
( colinear(d,c,b)
| ~ spl0_2 ),
inference(resolution,[],[f116,f91]) ).
fof(f91,axiom,
! [X3,X10,X5] :
( ~ colinear(X10,X3,X5)
| colinear(X5,X3,X10) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',t10_1) ).
fof(f116,plain,
( colinear(b,c,d)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f9136,plain,
( ~ spl0_8
| spl0_21
| spl0_50
| ~ spl0_215 ),
inference(avatar_contradiction_clause,[],[f9135]) ).
fof(f9135,plain,
( $false
| ~ spl0_8
| spl0_21
| spl0_50
| ~ spl0_215 ),
inference(subsumption_resolution,[],[f9134,f1064]) ).
fof(f1064,plain,
( ~ between(d,c,a)
| spl0_50 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f1063,plain,
( spl0_50
<=> between(d,c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f9134,plain,
( between(d,c,a)
| ~ spl0_8
| spl0_21
| ~ spl0_215 ),
inference(subsumption_resolution,[],[f9122,f350]) ).
fof(f350,plain,
( ~ between(d,a,c)
| spl0_21 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f349,plain,
( spl0_21
<=> between(d,a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f9122,plain,
( between(d,a,c)
| between(d,c,a)
| ~ spl0_8
| ~ spl0_215 ),
inference(resolution,[],[f8196,f5692]) ).
fof(f5692,plain,
( between(d,c,b)
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f5690]) ).
fof(f8196,plain,
( ! [X8] :
( ~ between(d,X8,b)
| between(d,a,X8)
| between(d,X8,a) )
| ~ spl0_8 ),
inference(resolution,[],[f155,f84]) ).
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/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',t9) ).
fof(f155,plain,
( between(d,a,b)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl0_8
<=> between(d,a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f8716,plain,
( ~ spl0_3
| ~ spl0_8
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f8715]) ).
fof(f8715,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| spl0_21 ),
inference(subsumption_resolution,[],[f8707,f350]) ).
fof(f8707,plain,
( between(d,a,c)
| ~ spl0_3
| ~ spl0_8 ),
inference(resolution,[],[f8203,f128]) ).
fof(f8203,plain,
( ! [X2] :
( ~ between(a,b,X2)
| between(d,a,X2) )
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f8190,f102]) ).
fof(f102,axiom,
a != b,
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',a_not_b) ).
fof(f8190,plain,
( ! [X2] :
( a = b
| ~ between(a,b,X2)
| between(d,a,X2) )
| ~ spl0_8 ),
inference(resolution,[],[f155,f60]) ).
fof(f60,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X3,X5)
| X3 = X5
| ~ between(X3,X5,X0)
| between(X10,X3,X0) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',b7) ).
fof(f8151,plain,
( ~ spl0_6
| ~ spl0_11
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f8150]) ).
fof(f8150,plain,
( $false
| ~ spl0_6
| ~ spl0_11
| spl0_19 ),
inference(subsumption_resolution,[],[f8140,f342]) ).
fof(f342,plain,
( ~ between(a,c,d)
| spl0_19 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f341,plain,
( spl0_19
<=> between(a,c,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f8140,plain,
( between(a,c,d)
| ~ spl0_6
| ~ spl0_11 ),
inference(resolution,[],[f7530,f180]) ).
fof(f180,plain,
( between(a,c,b)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl0_11
<=> between(a,c,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f7530,plain,
( ! [X4] :
( ~ between(a,X4,b)
| between(a,X4,d) )
| ~ spl0_6 ),
inference(resolution,[],[f147,f62]) ).
fof(f147,plain,
( between(a,b,d)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl0_6
<=> between(a,b,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f7970,plain,
( spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f7546,f174,f134]) ).
fof(f134,plain,
( spl0_5
<=> between(c,a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f174,plain,
( spl0_10
<=> between(b,a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f7546,plain,
( between(c,a,b)
| ~ spl0_10 ),
inference(resolution,[],[f176,f51]) ).
fof(f176,plain,
( between(b,a,c)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f7965,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_51 ),
inference(avatar_contradiction_clause,[],[f7964]) ).
fof(f7964,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_51 ),
inference(subsumption_resolution,[],[f7956,f1068]) ).
fof(f1068,plain,
( ~ between(c,a,d)
| spl0_51 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1067,plain,
( spl0_51
<=> between(c,a,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f7956,plain,
( between(c,a,d)
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f7515,f147]) ).
fof(f7515,plain,
( ! [X2] :
( ~ between(a,b,X2)
| between(c,a,X2) )
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f7500,f102]) ).
fof(f7500,plain,
( ! [X2] :
( a = b
| ~ between(a,b,X2)
| between(c,a,X2) )
| ~ spl0_5 ),
inference(resolution,[],[f136,f60]) ).
fof(f136,plain,
( between(c,a,b)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f7670,plain,
( spl0_8
| ~ spl0_16
| spl0_24
| ~ spl0_216 ),
inference(avatar_contradiction_clause,[],[f7669]) ).
fof(f7669,plain,
( $false
| spl0_8
| ~ spl0_16
| spl0_24
| ~ spl0_216 ),
inference(subsumption_resolution,[],[f7668,f154]) ).
fof(f154,plain,
( ~ between(d,a,b)
| spl0_8 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f7668,plain,
( between(d,a,b)
| ~ spl0_16
| spl0_24
| ~ spl0_216 ),
inference(subsumption_resolution,[],[f7645,f399]) ).
fof(f399,plain,
( ~ between(a,d,b)
| spl0_24 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f7645,plain,
( between(a,d,b)
| between(d,a,b)
| ~ spl0_16
| ~ spl0_216 ),
inference(resolution,[],[f5696,f248]) ).
fof(f248,plain,
( ! [X7] :
( ~ between(X7,b,c)
| between(a,X7,b)
| between(X7,a,b) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl0_16
<=> ! [X7] :
( ~ between(X7,b,c)
| between(a,X7,b)
| between(X7,a,b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f5696,plain,
( between(d,b,c)
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f5694]) ).
fof(f5694,plain,
( spl0_216
<=> between(d,b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f7642,plain,
( spl0_216
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f7601,f2802,f5694]) ).
fof(f7601,plain,
( between(d,b,c)
| ~ spl0_119 ),
inference(resolution,[],[f2804,f51]) ).
fof(f2804,plain,
( between(c,b,d)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f2802]) ).
fof(f7637,plain,
( ~ spl0_155
| spl0_12
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f7636,f2802,f225,f3842]) ).
fof(f3842,plain,
( spl0_155
<=> between(b,c,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f225,plain,
( spl0_12
<=> b = c ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f7636,plain,
( ~ between(b,c,d)
| spl0_12
| ~ spl0_119 ),
inference(subsumption_resolution,[],[f7602,f226]) ).
fof(f226,plain,
( b != c
| spl0_12 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f7602,plain,
( ~ between(b,c,d)
| b = c
| ~ spl0_119 ),
inference(resolution,[],[f2804,f53]) ).
fof(f53,axiom,
! [X3,X10,X5] :
( ~ between(X10,X3,X5)
| ~ between(X3,X10,X5)
| X3 = X10 ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',b2) ).
fof(f7442,plain,
( ~ spl0_3
| ~ spl0_24
| spl0_216 ),
inference(avatar_contradiction_clause,[],[f7441]) ).
fof(f7441,plain,
( $false
| ~ spl0_3
| ~ spl0_24
| spl0_216 ),
inference(subsumption_resolution,[],[f7433,f5695]) ).
fof(f5695,plain,
( ~ between(d,b,c)
| spl0_216 ),
inference(avatar_component_clause,[],[f5694]) ).
fof(f7433,plain,
( between(d,b,c)
| ~ spl0_3
| ~ spl0_24 ),
inference(resolution,[],[f7108,f400]) ).
fof(f7108,plain,
( ! [X0] :
( ~ between(a,X0,b)
| between(X0,b,c) )
| ~ spl0_3 ),
inference(resolution,[],[f128,f58]) ).
fof(f58,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X5,X0)
| ~ between(X10,X3,X5)
| between(X3,X5,X0) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',b5) ).
fof(f7087,plain,
( ~ spl0_5
| ~ spl0_24
| spl0_118 ),
inference(avatar_contradiction_clause,[],[f7086]) ).
fof(f7086,plain,
( $false
| ~ spl0_5
| ~ spl0_24
| spl0_118 ),
inference(subsumption_resolution,[],[f7063,f2799]) ).
fof(f2799,plain,
( ~ between(c,d,b)
| spl0_118 ),
inference(avatar_component_clause,[],[f2798]) ).
fof(f7063,plain,
( between(c,d,b)
| ~ spl0_5
| ~ spl0_24 ),
inference(resolution,[],[f400,f6008]) ).
fof(f6008,plain,
( ! [X3] :
( ~ between(a,X3,b)
| between(c,X3,b) )
| ~ spl0_5 ),
inference(resolution,[],[f136,f61]) ).
fof(f61,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X3,X0)
| ~ between(X3,X5,X0)
| between(X10,X5,X0) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',b8) ).
fof(f6915,plain,
( ~ spl0_5
| ~ spl0_20
| spl0_118 ),
inference(avatar_contradiction_clause,[],[f6914]) ).
fof(f6914,plain,
( $false
| ~ spl0_5
| ~ spl0_20
| spl0_118 ),
inference(subsumption_resolution,[],[f6890,f2799]) ).
fof(f6890,plain,
( between(c,d,b)
| ~ spl0_5
| ~ spl0_20 ),
inference(resolution,[],[f347,f6009]) ).
fof(f6009,plain,
( ! [X4] :
( ~ between(c,X4,a)
| between(c,X4,b) )
| ~ spl0_5 ),
inference(resolution,[],[f136,f62]) ).
fof(f347,plain,
( between(c,d,a)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f345,plain,
( spl0_20
<=> between(c,d,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f6883,plain,
( spl0_50
| spl0_20
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f6777,f153,f134,f345,f1063]) ).
fof(f6777,plain,
( between(c,d,a)
| between(d,c,a)
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f5729,f136]) ).
fof(f5729,plain,
( ! [X7] :
( ~ between(X7,a,b)
| between(X7,d,a)
| between(d,X7,a) )
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f5718,f102]) ).
fof(f5718,plain,
( ! [X7] :
( a = b
| ~ between(X7,a,b)
| between(X7,d,a)
| between(d,X7,a) )
| ~ spl0_8 ),
inference(resolution,[],[f155,f83]) ).
fof(f83,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X5,X0)
| X0 = X5
| ~ between(X3,X5,X0)
| between(X3,X10,X5)
| between(X10,X3,X5) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',t7) ).
fof(f6871,plain,
( ~ spl0_8
| ~ spl0_50
| spl0_215 ),
inference(avatar_contradiction_clause,[],[f6870]) ).
fof(f6870,plain,
( $false
| ~ spl0_8
| ~ spl0_50
| spl0_215 ),
inference(subsumption_resolution,[],[f6846,f5691]) ).
fof(f5691,plain,
( ~ between(d,c,b)
| spl0_215 ),
inference(avatar_component_clause,[],[f5690]) ).
fof(f6846,plain,
( between(d,c,b)
| ~ spl0_8
| ~ spl0_50 ),
inference(resolution,[],[f1065,f5715]) ).
fof(f5715,plain,
( ! [X4] :
( ~ between(d,X4,a)
| between(d,X4,b) )
| ~ spl0_8 ),
inference(resolution,[],[f155,f62]) ).
fof(f1065,plain,
( between(d,c,a)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f5996,plain,
( ~ spl0_3
| ~ spl0_8
| spl0_216 ),
inference(avatar_contradiction_clause,[],[f5995]) ).
fof(f5995,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| spl0_216 ),
inference(subsumption_resolution,[],[f5984,f5695]) ).
fof(f5984,plain,
( between(d,b,c)
| ~ spl0_3
| ~ spl0_8 ),
inference(resolution,[],[f5727,f128]) ).
fof(f5727,plain,
( ! [X1] :
( ~ between(a,b,X1)
| between(d,b,X1) )
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f5712,f102]) ).
fof(f5712,plain,
( ! [X1] :
( a = b
| ~ between(a,b,X1)
| between(d,b,X1) )
| ~ spl0_8 ),
inference(resolution,[],[f155,f59]) ).
fof(f59,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X3,X5)
| X3 = X5
| ~ between(X3,X5,X0)
| between(X10,X5,X0) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',b6) ).
fof(f5863,plain,
( spl0_1
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f5752,f1067,f111]) ).
fof(f111,plain,
( spl0_1
<=> colinear(a,c,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f5752,plain,
( colinear(a,c,d)
| ~ spl0_51 ),
inference(resolution,[],[f1069,f90]) ).
fof(f90,axiom,
! [X3,X10,X5] :
( ~ between(X3,X10,X5)
| colinear(X10,X3,X5) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',c2_3) ).
fof(f1069,plain,
( between(c,a,d)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f5855,plain,
( spl0_2
| ~ spl0_216 ),
inference(avatar_contradiction_clause,[],[f5854]) ).
fof(f5854,plain,
( $false
| spl0_2
| ~ spl0_216 ),
inference(subsumption_resolution,[],[f5834,f117]) ).
fof(f117,plain,
( ~ colinear(b,c,d)
| spl0_2 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f5834,plain,
( colinear(b,c,d)
| ~ spl0_216 ),
inference(resolution,[],[f5696,f21]) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ between(X2,X0,X1)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',colinearity3) ).
fof(f5823,plain,
( spl0_2
| ~ spl0_215 ),
inference(avatar_contradiction_clause,[],[f5822]) ).
fof(f5822,plain,
( $false
| spl0_2
| ~ spl0_215 ),
inference(subsumption_resolution,[],[f5807,f117]) ).
fof(f5807,plain,
( colinear(b,c,d)
| ~ spl0_215 ),
inference(resolution,[],[f5692,f88]) ).
fof(f88,axiom,
! [X3,X10,X5] :
( ~ between(X5,X3,X10)
| colinear(X10,X3,X5) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',c2_1) ).
fof(f5647,plain,
( ~ spl0_9
| ~ spl0_20
| spl0_118
| spl0_119 ),
inference(avatar_contradiction_clause,[],[f5646]) ).
fof(f5646,plain,
( $false
| ~ spl0_9
| ~ spl0_20
| spl0_118
| spl0_119 ),
inference(subsumption_resolution,[],[f5645,f2803]) ).
fof(f2803,plain,
( ~ between(c,b,d)
| spl0_119 ),
inference(avatar_component_clause,[],[f2802]) ).
fof(f5645,plain,
( between(c,b,d)
| ~ spl0_9
| ~ spl0_20
| spl0_118 ),
inference(subsumption_resolution,[],[f5635,f2799]) ).
fof(f5635,plain,
( between(c,d,b)
| between(c,b,d)
| ~ spl0_9
| ~ spl0_20 ),
inference(resolution,[],[f5223,f172]) ).
fof(f172,plain,
( between(c,b,a)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl0_9
<=> between(c,b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f5223,plain,
( ! [X8] :
( ~ between(c,X8,a)
| between(c,d,X8)
| between(c,X8,d) )
| ~ spl0_20 ),
inference(resolution,[],[f347,f84]) ).
fof(f5231,plain,
( ~ spl0_20
| ~ spl0_34
| spl0_119
| spl0_155 ),
inference(avatar_contradiction_clause,[],[f5230]) ).
fof(f5230,plain,
( $false
| ~ spl0_20
| ~ spl0_34
| spl0_119
| spl0_155 ),
inference(subsumption_resolution,[],[f5229,f2803]) ).
fof(f5229,plain,
( between(c,b,d)
| ~ spl0_20
| ~ spl0_34
| spl0_155 ),
inference(subsumption_resolution,[],[f5206,f3843]) ).
fof(f3843,plain,
( ~ between(b,c,d)
| spl0_155 ),
inference(avatar_component_clause,[],[f3842]) ).
fof(f5206,plain,
( between(b,c,d)
| between(c,b,d)
| ~ spl0_20
| ~ spl0_34 ),
inference(resolution,[],[f347,f520]) ).
fof(f520,plain,
( ! [X7] :
( ~ between(X7,d,a)
| between(b,X7,d)
| between(X7,b,d) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f519,plain,
( spl0_34
<=> ! [X7] :
( ~ between(X7,d,a)
| between(b,X7,d)
| between(X7,b,d) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f5199,plain,
( spl0_37
| ~ spl0_3
| ~ spl0_6
| spl0_19 ),
inference(avatar_split_clause,[],[f5178,f341,f145,f126,f608]) ).
fof(f5178,plain,
( between(a,d,c)
| ~ spl0_3
| ~ spl0_6
| spl0_19 ),
inference(subsumption_resolution,[],[f5150,f342]) ).
fof(f5150,plain,
( between(a,c,d)
| between(a,d,c)
| ~ spl0_3
| ~ spl0_6 ),
inference(resolution,[],[f4168,f128]) ).
fof(f4168,plain,
( ! [X5] :
( ~ between(a,b,X5)
| between(a,X5,d)
| between(a,d,X5) )
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f4158,f102]) ).
fof(f4158,plain,
( ! [X5] :
( a = b
| ~ between(a,b,X5)
| between(a,X5,d)
| between(a,d,X5) )
| ~ spl0_6 ),
inference(resolution,[],[f147,f81]) ).
fof(f81,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X3,X5)
| X3 = X10
| ~ between(X10,X3,X0)
| between(X10,X0,X5)
| between(X10,X5,X0) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',b12) ).
fof(f4359,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_119 ),
inference(avatar_contradiction_clause,[],[f4358]) ).
fof(f4358,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_119 ),
inference(subsumption_resolution,[],[f4349,f2803]) ).
fof(f4349,plain,
( between(c,b,d)
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f4141,f147]) ).
fof(f4141,plain,
( ! [X1] :
( ~ between(a,b,X1)
| between(c,b,X1) )
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f4128,f102]) ).
fof(f4128,plain,
( ! [X1] :
( a = b
| ~ between(a,b,X1)
| between(c,b,X1) )
| ~ spl0_5 ),
inference(resolution,[],[f136,f59]) ).
fof(f4112,plain,
( spl0_11
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1342,f130,f178]) ).
fof(f130,plain,
( spl0_4
<=> between(b,c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1342,plain,
( between(a,c,b)
| ~ spl0_4 ),
inference(resolution,[],[f132,f51]) ).
fof(f132,plain,
( between(b,c,a)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f4098,plain,
( ~ spl0_8
| ~ spl0_11
| spl0_155 ),
inference(avatar_contradiction_clause,[],[f4097]) ).
fof(f4097,plain,
( $false
| ~ spl0_8
| ~ spl0_11
| spl0_155 ),
inference(subsumption_resolution,[],[f4078,f3843]) ).
fof(f4078,plain,
( between(b,c,d)
| ~ spl0_8
| ~ spl0_11 ),
inference(resolution,[],[f4067,f51]) ).
fof(f4067,plain,
( between(d,c,b)
| ~ spl0_8
| ~ spl0_11 ),
inference(resolution,[],[f3946,f180]) ).
fof(f3946,plain,
( ! [X3] :
( ~ between(a,X3,b)
| between(d,X3,b) )
| ~ spl0_8 ),
inference(resolution,[],[f155,f61]) ).
fof(f4014,plain,
( spl0_2
| ~ spl0_155 ),
inference(avatar_contradiction_clause,[],[f4013]) ).
fof(f4013,plain,
( $false
| spl0_2
| ~ spl0_155 ),
inference(subsumption_resolution,[],[f3988,f117]) ).
fof(f3988,plain,
( colinear(b,c,d)
| ~ spl0_155 ),
inference(resolution,[],[f3844,f19]) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',colinearity1) ).
fof(f3844,plain,
( between(b,c,d)
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f3842]) ).
fof(f3906,plain,
( ~ spl0_4
| ~ spl0_7
| spl0_20
| spl0_50 ),
inference(avatar_contradiction_clause,[],[f3905]) ).
fof(f3905,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| spl0_20
| spl0_50 ),
inference(subsumption_resolution,[],[f3904,f1064]) ).
fof(f3904,plain,
( between(d,c,a)
| ~ spl0_4
| ~ spl0_7
| spl0_20 ),
inference(subsumption_resolution,[],[f3894,f346]) ).
fof(f346,plain,
( ~ between(c,d,a)
| spl0_20 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f3894,plain,
( between(c,d,a)
| between(d,c,a)
| ~ spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f1356,f151]) ).
fof(f151,plain,
( between(b,d,a)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl0_7
<=> between(b,d,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1356,plain,
( ! [X9] :
( ~ between(b,X9,a)
| between(c,X9,a)
| between(X9,c,a) )
| ~ spl0_4 ),
inference(resolution,[],[f132,f85]) ).
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/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',b14) ).
fof(f3892,plain,
( spl0_2
| ~ spl0_154 ),
inference(avatar_contradiction_clause,[],[f3891]) ).
fof(f3891,plain,
( $false
| spl0_2
| ~ spl0_154 ),
inference(subsumption_resolution,[],[f3871,f117]) ).
fof(f3871,plain,
( colinear(b,c,d)
| ~ spl0_154 ),
inference(resolution,[],[f3840,f89]) ).
fof(f89,axiom,
! [X3,X10,X5] :
( ~ between(X10,X5,X3)
| colinear(X10,X3,X5) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',c2_2) ).
fof(f3840,plain,
( between(b,d,c)
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f3838]) ).
fof(f3879,plain,
( spl0_118
| ~ spl0_154 ),
inference(avatar_contradiction_clause,[],[f3878]) ).
fof(f3878,plain,
( $false
| spl0_118
| ~ spl0_154 ),
inference(subsumption_resolution,[],[f3854,f2799]) ).
fof(f3854,plain,
( between(c,d,b)
| ~ spl0_154 ),
inference(resolution,[],[f3840,f51]) ).
fof(f3877,plain,
( spl0_21
| ~ spl0_33
| spl0_50
| ~ spl0_154 ),
inference(avatar_contradiction_clause,[],[f3876]) ).
fof(f3876,plain,
( $false
| spl0_21
| ~ spl0_33
| spl0_50
| ~ spl0_154 ),
inference(subsumption_resolution,[],[f3875,f1064]) ).
fof(f3875,plain,
( between(d,c,a)
| spl0_21
| ~ spl0_33
| ~ spl0_154 ),
inference(subsumption_resolution,[],[f3849,f350]) ).
fof(f3849,plain,
( between(d,a,c)
| between(d,c,a)
| ~ spl0_33
| ~ spl0_154 ),
inference(resolution,[],[f3840,f516]) ).
fof(f516,plain,
( ! [X6] :
( ~ between(b,d,X6)
| between(d,a,X6)
| between(d,X6,a) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f515,plain,
( spl0_33
<=> ! [X6] :
( ~ between(b,d,X6)
| between(d,a,X6)
| between(d,X6,a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f3874,plain,
( ~ spl0_4
| spl0_50
| ~ spl0_154 ),
inference(avatar_contradiction_clause,[],[f3873]) ).
fof(f3873,plain,
( $false
| ~ spl0_4
| spl0_50
| ~ spl0_154 ),
inference(subsumption_resolution,[],[f3848,f1064]) ).
fof(f3848,plain,
( between(d,c,a)
| ~ spl0_4
| ~ spl0_154 ),
inference(resolution,[],[f3840,f1347]) ).
fof(f1347,plain,
( ! [X0] :
( ~ between(b,X0,c)
| between(X0,c,a) )
| ~ spl0_4 ),
inference(resolution,[],[f132,f58]) ).
fof(f3845,plain,
( spl0_154
| spl0_155
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f3827,f149,f130,f3842,f3838]) ).
fof(f3827,plain,
( between(b,c,d)
| between(b,d,c)
| ~ spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f1355,f151]) ).
fof(f1355,plain,
( ! [X8] :
( ~ between(b,X8,a)
| between(b,c,X8)
| between(b,X8,c) )
| ~ spl0_4 ),
inference(resolution,[],[f132,f84]) ).
fof(f3537,plain,
( spl0_20
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f2983,f608,f345]) ).
fof(f2983,plain,
( between(c,d,a)
| ~ spl0_37 ),
inference(resolution,[],[f609,f51]) ).
fof(f609,plain,
( between(a,d,c)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f3536,plain,
( spl0_1
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f3000,f608,f111]) ).
fof(f3000,plain,
( colinear(a,c,d)
| ~ spl0_37 ),
inference(resolution,[],[f609,f89]) ).
fof(f2933,plain,
( ~ spl0_21
| spl0_51 ),
inference(avatar_contradiction_clause,[],[f2932]) ).
fof(f2932,plain,
( $false
| ~ spl0_21
| spl0_51 ),
inference(subsumption_resolution,[],[f2910,f1068]) ).
fof(f2910,plain,
( between(c,a,d)
| ~ spl0_21 ),
inference(resolution,[],[f351,f51]) ).
fof(f351,plain,
( between(d,a,c)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f2892,plain,
( spl0_19
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f1369,f1063,f341]) ).
fof(f1369,plain,
( between(a,c,d)
| ~ spl0_50 ),
inference(resolution,[],[f1065,f51]) ).
fof(f2891,plain,
( spl0_2
| ~ spl0_119 ),
inference(avatar_contradiction_clause,[],[f2890]) ).
fof(f2890,plain,
( $false
| spl0_2
| ~ spl0_119 ),
inference(subsumption_resolution,[],[f2878,f117]) ).
fof(f2878,plain,
( colinear(b,c,d)
| ~ spl0_119 ),
inference(resolution,[],[f2804,f90]) ).
fof(f2845,plain,
( ~ spl0_119
| spl0_25
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2844,f2798,f445,f2802]) ).
fof(f445,plain,
( spl0_25
<=> b = d ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f2844,plain,
( ~ between(c,b,d)
| spl0_25
| ~ spl0_118 ),
inference(subsumption_resolution,[],[f2824,f446]) ).
fof(f446,plain,
( b != d
| spl0_25 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f2824,plain,
( b = d
| ~ between(c,b,d)
| ~ spl0_118 ),
inference(resolution,[],[f2800,f54]) ).
fof(f54,axiom,
! [X3,X10,X5] :
( ~ between(X10,X5,X3)
| X3 = X5
| ~ between(X10,X3,X5) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',b3) ).
fof(f2842,plain,
( spl0_2
| ~ spl0_118 ),
inference(avatar_contradiction_clause,[],[f2841]) ).
fof(f2841,plain,
( $false
| spl0_2
| ~ spl0_118 ),
inference(subsumption_resolution,[],[f2820,f117]) ).
fof(f2820,plain,
( colinear(b,c,d)
| ~ spl0_118 ),
inference(resolution,[],[f2800,f20]) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ between(X1,X2,X0)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',colinearity2) ).
fof(f2805,plain,
( spl0_118
| spl0_119
| ~ spl0_11
| spl0_13
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f2787,f341,f232,f178,f2802,f2798]) ).
fof(f232,plain,
( spl0_13
<=> a = c ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f2787,plain,
( between(c,b,d)
| between(c,d,b)
| ~ spl0_11
| spl0_13
| ~ spl0_19 ),
inference(resolution,[],[f1333,f180]) ).
fof(f1333,plain,
( ! [X6] :
( ~ between(a,c,X6)
| between(c,X6,d)
| between(c,d,X6) )
| spl0_13
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f1315,f233]) ).
fof(f233,plain,
( a != c
| spl0_13 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f1315,plain,
( ! [X6] :
( a = c
| ~ between(a,c,X6)
| between(c,X6,d)
| between(c,d,X6) )
| ~ spl0_19 ),
inference(resolution,[],[f343,f82]) ).
fof(f82,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X3,X5)
| X3 = X10
| ~ between(X10,X3,X0)
| between(X3,X0,X5)
| between(X3,X5,X0) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',b13) ).
fof(f343,plain,
( between(a,c,d)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f1338,plain,
( ~ spl0_51
| spl0_13
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1337,f341,f232,f1067]) ).
fof(f1337,plain,
( ~ between(c,a,d)
| spl0_13
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f1305,f233]) ).
fof(f1305,plain,
( ~ between(c,a,d)
| a = c
| ~ spl0_19 ),
inference(resolution,[],[f343,f53]) ).
fof(f1334,plain,
( spl0_50
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1304,f341,f1063]) ).
fof(f1304,plain,
( between(d,c,a)
| ~ spl0_19 ),
inference(resolution,[],[f343,f51]) ).
fof(f1121,plain,
( spl0_37
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1083,f345,f608]) ).
fof(f1083,plain,
( between(a,d,c)
| ~ spl0_20 ),
inference(resolution,[],[f347,f51]) ).
fof(f902,plain,
( spl0_2
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f901]) ).
fof(f901,plain,
( $false
| spl0_2
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f883,f120]) ).
fof(f120,plain,
colinear(b,c,a),
inference(resolution,[],[f103,f92]) ).
fof(f92,axiom,
! [X3,X10,X5] :
( ~ colinear(X10,X3,X5)
| colinear(X3,X5,X10) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',t10_2) ).
fof(f103,axiom,
colinear(a,b,c),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',abc_colinear) ).
fof(f883,plain,
( ~ colinear(b,c,a)
| spl0_2
| ~ spl0_26 ),
inference(superposition,[],[f117,f454]) ).
fof(f454,plain,
( a = d
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f452,plain,
( spl0_26
<=> a = d ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f837,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f836,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f814,f117]) ).
fof(f814,plain,
( colinear(b,c,d)
| ~ spl0_3
| ~ spl0_19 ),
inference(resolution,[],[f799,f19]) ).
fof(f799,plain,
( between(b,c,d)
| ~ spl0_3
| ~ spl0_19 ),
inference(resolution,[],[f591,f128]) ).
fof(f591,plain,
( ! [X0] :
( ~ between(a,X0,c)
| between(X0,c,d) )
| ~ spl0_19 ),
inference(resolution,[],[f343,f58]) ).
fof(f605,plain,
( spl0_1
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f583,f341,f111]) ).
fof(f583,plain,
( colinear(a,c,d)
| ~ spl0_19 ),
inference(resolution,[],[f343,f19]) ).
fof(f578,plain,
( spl0_1
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f577]) ).
fof(f577,plain,
( $false
| spl0_1
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f569,f124]) ).
fof(f124,plain,
colinear(a,c,b),
inference(resolution,[],[f103,f93]) ).
fof(f93,axiom,
! [X3,X10,X5] :
( ~ colinear(X10,X3,X5)
| colinear(X10,X5,X3) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',t10_3) ).
fof(f569,plain,
( ~ colinear(a,c,b)
| spl0_1
| ~ spl0_25 ),
inference(superposition,[],[f113,f447]) ).
fof(f447,plain,
( b = d
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f113,plain,
( ~ colinear(a,c,d)
| spl0_1 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f521,plain,
( spl0_34
| spl0_26
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f487,f149,f452,f519]) ).
fof(f487,plain,
( ! [X7] :
( a = d
| ~ between(X7,d,a)
| between(X7,b,d)
| between(b,X7,d) )
| ~ spl0_7 ),
inference(resolution,[],[f151,f83]) ).
fof(f517,plain,
( spl0_33
| spl0_25
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f486,f149,f445,f515]) ).
fof(f486,plain,
( ! [X6] :
( b = d
| ~ between(b,d,X6)
| between(d,X6,a)
| between(d,a,X6) )
| ~ spl0_7 ),
inference(resolution,[],[f151,f82]) ).
fof(f494,plain,
( spl0_24
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f475,f149,f398]) ).
fof(f475,plain,
( between(a,d,b)
| ~ spl0_7 ),
inference(resolution,[],[f151,f51]) ).
fof(f471,plain,
( spl0_7
| spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f377,f145,f153,f149]) ).
fof(f377,plain,
( between(a,b,d)
| between(d,a,b)
| between(b,d,a) ),
inference(resolution,[],[f139,f22]) ).
fof(f139,plain,
colinear(b,d,a),
inference(resolution,[],[f104,f92]) ).
fof(f104,axiom,
colinear(a,b,d),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',abd_colinear) ).
fof(f339,plain,
( spl0_2
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f338]) ).
fof(f338,plain,
( $false
| spl0_2
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f337,f142]) ).
fof(f142,plain,
colinear(b,a,d),
inference(resolution,[],[f104,f95]) ).
fof(f95,axiom,
! [X3,X10,X5] :
( ~ colinear(X10,X3,X5)
| colinear(X3,X10,X5) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',t10_5) ).
fof(f337,plain,
( ~ colinear(b,a,d)
| spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f117,f234]) ).
fof(f234,plain,
( a = c
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f312,plain,
( spl0_10
| spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f188,f170,f178,f174]) ).
fof(f188,plain,
( between(c,b,a)
| between(a,c,b)
| between(b,a,c) ),
inference(resolution,[],[f123,f22]) ).
fof(f123,plain,
colinear(b,a,c),
inference(resolution,[],[f103,f95]) ).
fof(f309,plain,
( spl0_2
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f308]) ).
fof(f308,plain,
( $false
| spl0_2
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f307,f97]) ).
fof(f97,axiom,
! [X0,X1] : colinear(X0,X0,X1),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',c3_1) ).
fof(f307,plain,
( ~ colinear(b,b,d)
| spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f117,f227]) ).
fof(f227,plain,
( b = c
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f306,plain,
( spl0_1
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f305,plain,
( $false
| spl0_1
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f299,f104]) ).
fof(f299,plain,
( ~ colinear(a,b,d)
| spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f113,f227]) ).
fof(f251,plain,
( spl0_4
| spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f157,f126,f134,f130]) ).
fof(f157,plain,
( between(a,b,c)
| between(c,a,b)
| between(b,c,a) ),
inference(resolution,[],[f120,f22]) ).
fof(f249,plain,
( spl0_16
| spl0_12
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f215,f126,f225,f247]) ).
fof(f215,plain,
( ! [X7] :
( b = c
| ~ between(X7,b,c)
| between(X7,a,b)
| between(a,X7,b) )
| ~ spl0_3 ),
inference(resolution,[],[f128,f83]) ).
fof(f235,plain,
( ~ spl0_11
| spl0_12
| spl0_13
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f207,f126,f232,f225,f178]) ).
fof(f207,plain,
( a = c
| b = c
| ~ between(a,c,b)
| ~ spl0_3 ),
inference(resolution,[],[f128,f56]) ).
fof(f56,axiom,
! [X3,X10,X5] :
( ~ between(X10,X5,X3)
| X3 = X10
| X3 = X5
| ~ between(X10,X3,X5) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',t6_2) ).
fof(f118,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f105,f115,f111]) ).
fof(f105,axiom,
( ~ colinear(b,c,d)
| ~ colinear(a,c,d) ),
file('/export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169',prove_colinearity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO012-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n007.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 23:24:14 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.kRM9q8uJQm/Vampire---4.8_17169
% 0.22/0.38 % (17410)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (17417)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.22/0.44 % (17414)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.22/0.44 % (17411)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.22/0.44 % (17412)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.22/0.44 % (17416)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.22/0.44 % (17413)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.22/0.44 % (17415)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 2.23/0.74 % (17417)First to succeed.
% 2.23/0.74 % (17417)Refutation found. Thanks to Tanya!
% 2.23/0.74 % SZS status Unsatisfiable for Vampire---4
% 2.23/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 2.23/0.74 % (17417)------------------------------
% 2.23/0.74 % (17417)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.23/0.74 % (17417)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.23/0.74 % (17417)Termination reason: Refutation
% 2.23/0.74
% 2.23/0.74 % (17417)Memory used [KB]: 8699
% 2.23/0.74 % (17417)Time elapsed: 0.305 s
% 2.23/0.74 % (17417)------------------------------
% 2.23/0.74 % (17417)------------------------------
% 2.23/0.74 % (17410)Success in time 0.359 s
% 2.23/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------