TSTP Solution File: GEO070-3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO070-3 : 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 : n002.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 23:30:40 EDT 2023
% Result : Unsatisfiable 8.75s 1.65s
% Output : Refutation 8.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 44
% Syntax : Number of formulae : 152 ( 24 unt; 0 def)
% Number of atoms : 345 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 354 ( 161 ~; 175 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 19 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 83 (; 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39423,plain,
$false,
inference(avatar_sat_refutation,[],[f1537,f1547,f3268,f3334,f3505,f5551,f7718,f19105,f19106,f19704,f20438,f34019,f34044,f36576,f36600,f36662,f37289,f37332,f37371,f37425,f38901,f38905,f39275]) ).
fof(f39275,plain,
( spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f39274]) ).
fof(f39274,plain,
( $false
| spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f38933,f49]) ).
fof(f49,axiom,
! [X3,X10] : between(X10,X3,X3),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',t3) ).
fof(f38933,plain,
( ~ between(u,v,v)
| spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f132,f151]) ).
fof(f151,plain,
( v = w
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl0_5
<=> v = w ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f132,plain,
( ~ between(u,v,w)
| spl0_1 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl0_1
<=> between(u,v,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f38905,plain,
( spl0_5
| ~ spl0_189
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f37766,f5597,f5699,f149]) ).
fof(f5699,plain,
( spl0_189
<=> between(v,w,x) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f5597,plain,
( spl0_185
<=> between(w,v,x) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f37766,plain,
( ~ between(v,w,x)
| v = w
| ~ spl0_185 ),
inference(resolution,[],[f5599,f53]) ).
fof(f53,axiom,
! [X3,X10,X5] :
( ~ between(X10,X3,X5)
| ~ between(X3,X10,X5)
| X3 = X10 ),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',b2) ).
fof(f5599,plain,
( between(w,v,x)
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f5597]) ).
fof(f38901,plain,
( spl0_189
| ~ spl0_86
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f38699,f6923,f1535,f5699]) ).
fof(f1535,plain,
( spl0_86
<=> ! [X2] :
( ~ between(w,u,X2)
| between(v,w,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f6923,plain,
( spl0_275
<=> between(w,u,x) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f38699,plain,
( between(v,w,x)
| ~ spl0_86
| ~ spl0_275 ),
inference(resolution,[],[f1536,f6924]) ).
fof(f6924,plain,
( between(w,u,x)
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f6923]) ).
fof(f1536,plain,
( ! [X2] :
( ~ between(w,u,X2)
| between(v,w,X2) )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f1535]) ).
fof(f37425,plain,
( spl0_108
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f37424,f5695,f3101]) ).
fof(f3101,plain,
( spl0_108
<=> between(v,x,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f5695,plain,
( spl0_188
<=> between(x,v,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f37424,plain,
( between(v,x,u)
| ~ spl0_188 ),
inference(subsumption_resolution,[],[f37373,f5697]) ).
fof(f5697,plain,
( between(x,v,w)
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f5695]) ).
fof(f37373,plain,
( ~ between(x,v,w)
| between(v,x,u) ),
inference(subsumption_resolution,[],[f35985,f108]) ).
fof(f108,axiom,
equidistant(v,w,x,u),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',v_to_w_equals_x_to_u) ).
fof(f35985,plain,
( ~ between(x,v,w)
| ~ equidistant(v,w,x,u)
| between(v,x,u) ),
inference(resolution,[],[f2240,f1]) ).
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',reflexivity_for_equidistance) ).
fof(f2240,plain,
! [X21,X20] :
( ~ equidistant(x,X21,v,X20)
| ~ between(x,X21,w)
| ~ equidistant(X21,w,X20,u)
| between(v,X20,u) ),
inference(resolution,[],[f446,f80]) ).
fof(f80,axiom,
! [X3,X10,X11,X9,X5,X12] :
( ~ equidistant(X10,X5,X11,X12)
| between(X11,X9,X12)
| ~ between(X10,X3,X5)
| ~ equidistant(X3,X5,X9,X12)
| ~ equidistant(X10,X3,X11,X9) ),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',b11) ).
fof(f446,plain,
equidistant(x,w,v,u),
inference(resolution,[],[f107,f32]) ).
fof(f32,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X0,X5,X3,X10) ),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',d4_5) ).
fof(f107,axiom,
equidistant(u,v,w,x),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',u_to_v_equals_w_to_x) ).
fof(f37371,plain,
( spl0_2
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f37370,f5597,f135]) ).
fof(f135,plain,
( spl0_2
<=> between(v,w,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f37370,plain,
( ~ between(w,v,x)
| between(v,w,u) ),
inference(subsumption_resolution,[],[f35539,f540]) ).
fof(f540,plain,
equidistant(v,x,w,u),
inference(resolution,[],[f109,f30]) ).
fof(f30,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X5,X0,X3,X10) ),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',d4_3) ).
fof(f109,axiom,
equidistant(u,w,v,x),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',u_to_w_equals_v_to_x) ).
fof(f35539,plain,
( ~ between(w,v,x)
| ~ equidistant(v,x,w,u)
| between(v,w,u) ),
inference(resolution,[],[f2170,f1]) ).
fof(f2170,plain,
! [X21,X20] :
( ~ equidistant(w,X21,v,X20)
| ~ between(w,X21,x)
| ~ equidistant(X21,x,X20,u)
| between(v,X20,u) ),
inference(resolution,[],[f444,f80]) ).
fof(f444,plain,
equidistant(w,x,v,u),
inference(resolution,[],[f107,f30]) ).
fof(f37332,plain,
( spl0_188
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f37331,f479,f5695]) ).
fof(f479,plain,
( spl0_41
<=> between(u,w,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f37331,plain,
( ~ between(u,w,v)
| between(x,v,w) ),
inference(subsumption_resolution,[],[f35102,f1]) ).
fof(f35102,plain,
( ~ between(u,w,v)
| ~ equidistant(w,v,v,w)
| between(x,v,w) ),
inference(resolution,[],[f2100,f538]) ).
fof(f538,plain,
equidistant(u,w,x,v),
inference(resolution,[],[f109,f28]) ).
fof(f28,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X10,X3,X0,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',d4_1) ).
fof(f2100,plain,
! [X21,X20] :
( ~ equidistant(u,X21,x,X20)
| ~ between(u,X21,v)
| ~ equidistant(X21,v,X20,w)
| between(x,X20,w) ),
inference(resolution,[],[f442,f80]) ).
fof(f442,plain,
equidistant(u,v,x,w),
inference(resolution,[],[f107,f28]) ).
fof(f37289,plain,
( ~ spl0_8
| spl0_112 ),
inference(avatar_contradiction_clause,[],[f37288]) ).
fof(f37288,plain,
( $false
| ~ spl0_8
| spl0_112 ),
inference(subsumption_resolution,[],[f37287,f3171]) ).
fof(f3171,plain,
( ~ between(v,u,x)
| spl0_112 ),
inference(avatar_component_clause,[],[f3170]) ).
fof(f3170,plain,
( spl0_112
<=> between(v,u,x) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f37287,plain,
( between(v,u,x)
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f37257,f52]) ).
fof(f52,axiom,
! [X3,X10] : between(X10,X10,X3),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',t2) ).
fof(f37257,plain,
( ~ between(v,v,x)
| between(v,u,x)
| ~ spl0_8 ),
inference(resolution,[],[f194,f328]) ).
fof(f328,plain,
! [X10,X11] :
( ~ between(y,X11,X10)
| ~ between(v,X10,x)
| between(v,X11,x) ),
inference(resolution,[],[f111,f86]) ).
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/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',t8) ).
fof(f111,axiom,
between(v,y,x),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',y_between_v_and_x) ).
fof(f194,plain,
( between(y,u,v)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl0_8
<=> between(y,u,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f36662,plain,
( spl0_8
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f34190,f139,f193]) ).
fof(f139,plain,
( spl0_3
<=> between(w,u,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f34190,plain,
( between(y,u,v)
| ~ spl0_3 ),
inference(resolution,[],[f34112,f163]) ).
fof(f163,plain,
between(w,y,u),
inference(resolution,[],[f110,f51]) ).
fof(f51,axiom,
! [X3,X10,X5] :
( ~ between(X10,X3,X5)
| between(X5,X3,X10) ),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',t1) ).
fof(f110,axiom,
between(u,y,w),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',y_between_u_and_w) ).
fof(f34112,plain,
( ! [X0] :
( ~ between(w,X0,u)
| between(X0,u,v) )
| ~ spl0_3 ),
inference(resolution,[],[f141,f58]) ).
fof(f58,axiom,
! [X3,X10,X0,X5] :
( ~ between(X10,X5,X0)
| ~ between(X10,X3,X5)
| between(X3,X5,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',b5) ).
fof(f141,plain,
( between(w,u,v)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f36600,plain,
( spl0_114
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f36521,f139,f3178]) ).
fof(f3178,plain,
( spl0_114
<=> between(x,v,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f36521,plain,
( between(x,v,u)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f36520,f1]) ).
fof(f36520,plain,
( ~ equidistant(u,v,v,u)
| between(x,v,u)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f36512,f141]) ).
fof(f36512,plain,
( ~ between(w,u,v)
| ~ equidistant(u,v,v,u)
| between(x,v,u) ),
inference(resolution,[],[f2312,f539]) ).
fof(f539,plain,
equidistant(w,u,x,v),
inference(resolution,[],[f109,f29]) ).
fof(f29,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X3,X10,X0,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',d4_2) ).
fof(f2312,plain,
! [X21,X20] :
( ~ equidistant(w,X21,x,X20)
| ~ between(w,X21,v)
| ~ equidistant(X21,v,X20,u)
| between(x,X20,u) ),
inference(resolution,[],[f491,f80]) ).
fof(f491,plain,
equidistant(w,v,x,u),
inference(resolution,[],[f108,f27]) ).
fof(f27,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X3,X10,X5,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',d3) ).
fof(f36576,plain,
( ~ spl0_108
| spl0_275 ),
inference(avatar_split_clause,[],[f36575,f6923,f3101]) ).
fof(f36575,plain,
( ~ between(v,x,u)
| spl0_275 ),
inference(subsumption_resolution,[],[f36574,f6925]) ).
fof(f6925,plain,
( ~ between(w,u,x)
| spl0_275 ),
inference(avatar_component_clause,[],[f6923]) ).
fof(f36574,plain,
( ~ between(v,x,u)
| between(w,u,x) ),
inference(subsumption_resolution,[],[f33986,f1]) ).
fof(f33986,plain,
( ~ between(v,x,u)
| ~ equidistant(x,u,u,x)
| between(w,u,x) ),
inference(resolution,[],[f2038,f540]) ).
fof(f2038,plain,
! [X21,X20] :
( ~ equidistant(v,X21,w,X20)
| ~ between(v,X21,u)
| ~ equidistant(X21,u,X20,x)
| between(w,X20,x) ),
inference(resolution,[],[f441,f80]) ).
fof(f441,plain,
equidistant(v,u,w,x),
inference(resolution,[],[f107,f27]) ).
fof(f34044,plain,
( spl0_41
| spl0_40
| spl0_39 ),
inference(avatar_split_clause,[],[f34043,f471,f475,f479]) ).
fof(f475,plain,
( spl0_40
<=> between(v,u,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f471,plain,
( spl0_39
<=> between(w,v,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f34043,plain,
( between(v,u,w)
| between(u,w,v)
| spl0_39 ),
inference(subsumption_resolution,[],[f578,f472]) ).
fof(f472,plain,
( ~ between(w,v,u)
| spl0_39 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f578,plain,
( between(v,u,w)
| between(w,v,u)
| between(u,w,v) ),
inference(resolution,[],[f122,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/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',colinearity4) ).
fof(f122,plain,
colinear(u,w,v),
inference(resolution,[],[f114,f93]) ).
fof(f93,axiom,
! [X3,X10,X5] :
( ~ colinear(X10,X3,X5)
| colinear(X10,X5,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',t10_3) ).
fof(f114,axiom,
colinear(u,v,w),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',prove_uvw_not_colinear) ).
fof(f34019,plain,
( spl0_2
| spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f34018,f131,f139,f135]) ).
fof(f34018,plain,
( between(w,u,v)
| between(v,w,u)
| spl0_1 ),
inference(subsumption_resolution,[],[f504,f132]) ).
fof(f504,plain,
( between(u,v,w)
| between(w,u,v)
| between(v,w,u) ),
inference(resolution,[],[f121,f22]) ).
fof(f121,plain,
colinear(v,w,u),
inference(resolution,[],[f114,f92]) ).
fof(f92,axiom,
! [X3,X10,X5] :
( ~ colinear(X10,X3,X5)
| colinear(X3,X5,X10) ),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',t10_2) ).
fof(f20438,plain,
( spl0_3
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f20437]) ).
fof(f20437,plain,
( $false
| spl0_3
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f20200,f52]) ).
fof(f20200,plain,
( ~ between(u,u,v)
| spl0_3
| ~ spl0_23 ),
inference(superposition,[],[f140,f291]) ).
fof(f291,plain,
( u = w
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl0_23
<=> u = w ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f140,plain,
( ~ between(w,u,v)
| spl0_3 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f19704,plain,
( ~ spl0_5
| spl0_188 ),
inference(avatar_contradiction_clause,[],[f19703]) ).
fof(f19703,plain,
( $false
| ~ spl0_5
| spl0_188 ),
inference(subsumption_resolution,[],[f19702,f49]) ).
fof(f19702,plain,
( ~ between(x,v,v)
| ~ spl0_5
| spl0_188 ),
inference(forward_demodulation,[],[f5696,f151]) ).
fof(f5696,plain,
( ~ between(x,v,w)
| spl0_188 ),
inference(avatar_component_clause,[],[f5695]) ).
fof(f19106,plain,
( spl0_185
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f9305,f5695,f5597]) ).
fof(f9305,plain,
( between(w,v,x)
| ~ spl0_188 ),
inference(resolution,[],[f5697,f51]) ).
fof(f19105,plain,
( spl0_185
| ~ spl0_39
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f11896,f3170,f471,f5597]) ).
fof(f11896,plain,
( between(w,v,x)
| ~ spl0_39
| ~ spl0_112 ),
inference(resolution,[],[f1985,f3172]) ).
fof(f3172,plain,
( between(v,u,x)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f3170]) ).
fof(f1985,plain,
( ! [X2] :
( ~ between(v,u,X2)
| between(w,v,X2) )
| ~ spl0_39 ),
inference(subsumption_resolution,[],[f1972,f112]) ).
fof(f112,axiom,
u != v,
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',u_not_v) ).
fof(f1972,plain,
( ! [X2] :
( u = v
| ~ between(v,u,X2)
| between(w,v,X2) )
| ~ spl0_39 ),
inference(resolution,[],[f473,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/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',b7) ).
fof(f473,plain,
( between(w,v,u)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f7718,plain,
( ~ spl0_40
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f7717,f131,f475]) ).
fof(f7717,plain,
( ~ between(v,u,w)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f1871,f112]) ).
fof(f1871,plain,
( ~ between(v,u,w)
| u = v
| ~ spl0_1 ),
inference(resolution,[],[f133,f53]) ).
fof(f133,plain,
( between(u,v,w)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f5551,plain,
( spl0_112
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f5537,f131,f3170]) ).
fof(f5537,plain,
( between(v,u,x)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f5536,f492]) ).
fof(f492,plain,
equidistant(v,w,u,x),
inference(resolution,[],[f108,f28]) ).
fof(f5536,plain,
( ~ equidistant(v,w,u,x)
| between(v,u,x)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f5530,f133]) ).
fof(f5530,plain,
( ~ between(u,v,w)
| ~ equidistant(v,w,u,x)
| between(v,u,x) ),
inference(resolution,[],[f548,f1]) ).
fof(f548,plain,
! [X21,X20] :
( ~ equidistant(u,X21,v,X20)
| ~ between(u,X21,w)
| ~ equidistant(X21,w,X20,x)
| between(v,X20,x) ),
inference(resolution,[],[f109,f80]) ).
fof(f3505,plain,
( spl0_106
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f3312,f3170,f3093]) ).
fof(f3093,plain,
( spl0_106
<=> between(x,u,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f3312,plain,
( between(x,u,v)
| ~ spl0_112 ),
inference(resolution,[],[f3172,f51]) ).
fof(f3334,plain,
( ~ spl0_108
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f3333,f3170,f3101]) ).
fof(f3333,plain,
( ~ between(v,x,u)
| ~ spl0_112 ),
inference(subsumption_resolution,[],[f3314,f113]) ).
fof(f113,axiom,
u != x,
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',x_not_u) ).
fof(f3314,plain,
( u = x
| ~ between(v,x,u)
| ~ spl0_112 ),
inference(resolution,[],[f3172,f54]) ).
fof(f54,axiom,
! [X3,X10,X5] :
( ~ between(X10,X5,X3)
| X3 = X5
| ~ between(X10,X3,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813',b3) ).
fof(f3268,plain,
( ~ spl0_114
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f3267,f3093,f3178]) ).
fof(f3267,plain,
( ~ between(x,v,u)
| ~ spl0_106 ),
inference(subsumption_resolution,[],[f3248,f112]) ).
fof(f3248,plain,
( u = v
| ~ between(x,v,u)
| ~ spl0_106 ),
inference(resolution,[],[f3095,f54]) ).
fof(f3095,plain,
( between(x,u,v)
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f3093]) ).
fof(f1547,plain,
( spl0_41
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1138,f135,f479]) ).
fof(f1138,plain,
( between(u,w,v)
| ~ spl0_2 ),
inference(resolution,[],[f137,f51]) ).
fof(f137,plain,
( between(v,w,u)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f1537,plain,
( spl0_86
| spl0_23
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1145,f135,f289,f1535]) ).
fof(f1145,plain,
( ! [X2] :
( u = w
| ~ between(w,u,X2)
| between(v,w,X2) )
| ~ spl0_2 ),
inference(resolution,[],[f137,f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO070-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n002.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Aug 29 22:07:35 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.9c5dvQQPP6/Vampire---4.8_24813
% 0.16/0.37 % (24924)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (24929)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)
% 0.23/0.43 % (24925)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)
% 0.23/0.43 % (24926)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.43 % (24928)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.43 % (24927)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)
% 0.23/0.43 % (24931)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.43 % (24930)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)
% 8.75/1.65 % (24931)First to succeed.
% 8.75/1.65 % (24931)Refutation found. Thanks to Tanya!
% 8.75/1.65 % SZS status Unsatisfiable for Vampire---4
% 8.75/1.65 % SZS output start Proof for Vampire---4
% See solution above
% 8.75/1.65 % (24931)------------------------------
% 8.75/1.65 % (24931)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 8.75/1.65 % (24931)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 8.75/1.66 % (24931)Termination reason: Refutation
% 8.75/1.66
% 8.75/1.66 % (24931)Memory used [KB]: 19189
% 8.75/1.66 % (24931)Time elapsed: 1.218 s
% 8.75/1.66 % (24931)------------------------------
% 8.75/1.66 % (24931)------------------------------
% 8.75/1.66 % (24924)Success in time 1.282 s
% 8.75/1.66 % Vampire---4.8 exiting
%------------------------------------------------------------------------------