TSTP Solution File: GEO003-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO003-1 : TPTP v8.2.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Mon May 20 20:11:55 EDT 2024
% Result : Unsatisfiable 0.20s 0.36s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 50
% Syntax : Number of formulae : 102 ( 29 unt; 0 def)
% Number of atoms : 298 ( 23 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 352 ( 156 ~; 167 |; 0 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 33 ( 31 usr; 30 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-6 aty)
% Number of variables : 270 ( 270 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f196,plain,
$false,
inference(avatar_sat_refutation,[],[f26,f31,f36,f41,f45,f49,f53,f57,f62,f67,f72,f78,f82,f86,f93,f100,f104,f112,f120,f126,f132,f139,f146,f150,f157,f163,f171,f181,f185,f195]) ).
fof(f195,plain,
( spl0_1
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f194]) ).
fof(f194,plain,
( $false
| spl0_1
| ~ spl0_24 ),
inference(resolution,[],[f149,f25]) ).
fof(f25,plain,
( ~ between(a,b,b)
| spl0_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f23,plain,
( spl0_1
<=> between(a,b,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f149,plain,
( ! [X0,X1] : between(X0,X1,X1)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl0_24
<=> ! [X0,X1] : between(X0,X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f185,plain,
( spl0_29
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f89,f84,f65,f183]) ).
fof(f183,plain,
( spl0_29
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X1)
| ~ between(X5,X2,outer_pasch(X4,X3,X0,X2,X1))
| between(X5,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f65,plain,
( spl0_10
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| between(X0,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f84,plain,
( spl0_14
<=> ! [X3,X0,X5,X2,X1] :
( ~ between(X0,X5,X2)
| ~ between(X1,X2,X3)
| between(X3,X5,outer_pasch(X5,X0,X1,X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f89,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X1)
| ~ between(X5,X2,outer_pasch(X4,X3,X0,X2,X1))
| between(X5,X2,X4) )
| ~ spl0_10
| ~ spl0_14 ),
inference(resolution,[],[f85,f66]) ).
fof(f66,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X1,X3,X2)
| ~ between(X0,X1,X2)
| between(X0,X1,X3) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f85,plain,
( ! [X2,X3,X0,X1,X5] :
( between(X3,X5,outer_pasch(X5,X0,X1,X3,X2))
| ~ between(X1,X2,X3)
| ~ between(X0,X5,X2) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f181,plain,
( spl0_28
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f88,f76,f65,f179]) ).
fof(f179,plain,
( spl0_28
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X1)
| ~ between(X5,X3,X0)
| between(X5,X3,outer_pasch(X4,X3,X0,X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f76,plain,
( spl0_12
<=> ! [X3,X0,X5,X2,X1] :
( ~ between(X0,X5,X2)
| ~ between(X1,X2,X3)
| between(X0,outer_pasch(X5,X0,X1,X3,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f88,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X1)
| ~ between(X5,X3,X0)
| between(X5,X3,outer_pasch(X4,X3,X0,X2,X1)) )
| ~ spl0_10
| ~ spl0_12 ),
inference(resolution,[],[f77,f66]) ).
fof(f77,plain,
( ! [X2,X3,X0,X1,X5] :
( between(X0,outer_pasch(X5,X0,X1,X3,X2),X1)
| ~ between(X1,X2,X3)
| ~ between(X0,X5,X2) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f171,plain,
( spl0_27
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f87,f76,f47,f169]) ).
fof(f169,plain,
( spl0_27
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X0,X3,X1)
| outer_pasch(X3,X0,X0,X2,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f47,plain,
( spl0_6
<=> ! [X0,X1] :
( X0 = X1
| ~ between(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f87,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,X1,X2)
| ~ between(X0,X3,X1)
| outer_pasch(X3,X0,X0,X2,X1) = X0 )
| ~ spl0_6
| ~ spl0_12 ),
inference(resolution,[],[f77,f48]) ).
fof(f48,plain,
( ! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f163,plain,
( spl0_26
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f74,f70,f60,f161]) ).
fof(f161,plain,
( spl0_26
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| equidistant(X4,X5,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f60,plain,
( spl0_9
<=> ! [X0,X5,X2,X1] : equidistant(X1,extension(X0,X1,X5,X2),X5,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f70,plain,
( spl0_11
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X3,X2)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X3,X2,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f74,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| equidistant(X4,X5,X2,X3) )
| ~ spl0_9
| ~ spl0_11 ),
inference(resolution,[],[f71,f61]) ).
fof(f61,plain,
( ! [X2,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X2),X5,X2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f71,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X3,X2)
| equidistant(X3,X2,X4,X5) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f157,plain,
( spl0_25
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f68,f65,f55,f155]) ).
fof(f155,plain,
( spl0_25
<=> ! [X4,X0,X3,X2,X1] :
( ~ between(X0,X1,extension(X1,X2,X3,X4))
| between(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f55,plain,
( spl0_8
<=> ! [X0,X5,X2,X1] : between(X0,X1,extension(X0,X1,X5,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f68,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,extension(X1,X2,X3,X4))
| between(X0,X1,X2) )
| ~ spl0_8
| ~ spl0_10 ),
inference(resolution,[],[f66,f56]) ).
fof(f56,plain,
( ! [X2,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X2))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f150,plain,
( spl0_24
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f114,f80,f55,f148]) ).
fof(f80,plain,
( spl0_13
<=> ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f114,plain,
( ! [X0,X1] : between(X0,X1,X1)
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f56,f81]) ).
fof(f81,plain,
( ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f146,plain,
( spl0_23
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f73,f70,f43,f144]) ).
fof(f144,plain,
( spl0_23
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f43,plain,
( spl0_5
<=> ! [X0,X1] : equidistant(X0,X1,X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f73,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) )
| ~ spl0_5
| ~ spl0_11 ),
inference(resolution,[],[f71,f44]) ).
fof(f44,plain,
( ! [X0,X1] : equidistant(X0,X1,X1,X0)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f139,plain,
spl0_22,
inference(avatar_split_clause,[],[f12,f137]) ).
fof(f137,plain,
( spl0_22
<=> ! [X2,X3,X9,X0,X8,X6,X1,X7] :
( X0 = X1
| ~ between(X6,X7,X8)
| ~ between(X0,X1,X3)
| ~ equidistant(X1,X2,X7,X9)
| ~ equidistant(X0,X2,X6,X9)
| ~ equidistant(X1,X3,X7,X8)
| ~ equidistant(X0,X1,X6,X7)
| equidistant(X3,X2,X8,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7] :
( X0 = X1
| ~ between(X6,X7,X8)
| ~ between(X0,X1,X3)
| ~ equidistant(X1,X2,X7,X9)
| ~ equidistant(X0,X2,X6,X9)
| ~ equidistant(X1,X3,X7,X8)
| ~ equidistant(X0,X1,X6,X7)
| equidistant(X3,X2,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_five_segment) ).
fof(f132,plain,
spl0_21,
inference(avatar_split_clause,[],[f18,f130]) ).
fof(f130,plain,
( spl0_21
<=> ! [X3,X0,X5,X2,X1] :
( X2 = X5
| between(X3,X0,X1)
| between(X1,X3,X0)
| between(X0,X1,X3)
| ~ equidistant(X3,X5,X3,X2)
| ~ equidistant(X1,X5,X1,X2)
| ~ equidistant(X0,X5,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f18,axiom,
! [X2,X3,X0,X1,X5] :
( X2 = X5
| between(X3,X0,X1)
| between(X1,X3,X0)
| between(X0,X1,X3)
| ~ equidistant(X3,X5,X3,X2)
| ~ equidistant(X1,X5,X1,X2)
| ~ equidistant(X0,X5,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upper_dimension) ).
fof(f126,plain,
spl0_20,
inference(avatar_split_clause,[],[f19,f124]) ).
fof(f124,plain,
( spl0_20
<=> ! [X6,X0,X8,X3,X2,X1] :
( ~ between(X0,X1,X3)
| ~ between(X2,X0,X3)
| ~ equidistant(X2,X3,X2,X8)
| ~ equidistant(X2,X0,X2,X6)
| equidistant(X2,X1,X2,continuous(X0,X1,X3,X6,X8,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f19,axiom,
! [X2,X3,X0,X1,X8,X6] :
( ~ between(X0,X1,X3)
| ~ between(X2,X0,X3)
| ~ equidistant(X2,X3,X2,X8)
| ~ equidistant(X2,X0,X2,X6)
| equidistant(X2,X1,X2,continuous(X0,X1,X3,X6,X8,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',continuity1) ).
fof(f120,plain,
spl0_19,
inference(avatar_split_clause,[],[f20,f118]) ).
fof(f118,plain,
( spl0_19
<=> ! [X6,X0,X8,X3,X2,X1] :
( ~ between(X0,X1,X3)
| ~ between(X2,X0,X3)
| ~ equidistant(X2,X3,X2,X8)
| ~ equidistant(X2,X0,X2,X6)
| between(X6,continuous(X0,X1,X3,X6,X8,X2),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f20,axiom,
! [X2,X3,X0,X1,X8,X6] :
( ~ between(X0,X1,X3)
| ~ between(X2,X0,X3)
| ~ equidistant(X2,X3,X2,X8)
| ~ equidistant(X2,X0,X2,X6)
| between(X6,continuous(X0,X1,X3,X6,X8,X2),X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',continuity2) ).
fof(f112,plain,
spl0_18,
inference(avatar_split_clause,[],[f11,f110]) ).
fof(f110,plain,
( spl0_18
<=> ! [X5,X0,X3,X2,X1] :
( X0 = X2
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X5)
| between(euclid1(X5,X0,X1,X3,X2),X5,euclid2(X5,X0,X1,X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X5] :
( X0 = X2
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X5)
| between(euclid1(X5,X0,X1,X3,X2),X5,euclid2(X5,X0,X1,X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',euclid3) ).
fof(f104,plain,
spl0_17,
inference(avatar_split_clause,[],[f10,f102]) ).
fof(f102,plain,
( spl0_17
<=> ! [X5,X0,X3,X2,X1] :
( X0 = X2
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X5)
| between(X0,X1,euclid2(X5,X0,X1,X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X5] :
( X0 = X2
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X5)
| between(X0,X1,euclid2(X5,X0,X1,X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',euclid2) ).
fof(f100,plain,
spl0_16,
inference(avatar_split_clause,[],[f9,f98]) ).
fof(f98,plain,
( spl0_16
<=> ! [X5,X0,X3,X2,X1] :
( X0 = X2
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X5)
| between(X0,X3,euclid1(X5,X0,X1,X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X5] :
( X0 = X2
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X5)
| between(X0,X3,euclid1(X5,X0,X1,X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',euclid1) ).
fof(f93,plain,
spl0_15,
inference(avatar_split_clause,[],[f3,f91]) ).
fof(f91,plain,
( spl0_15
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| ~ between(X0,X1,X3)
| ~ between(X0,X1,X2)
| between(X0,X2,X3)
| between(X0,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ between(X0,X1,X3)
| ~ between(X0,X1,X2)
| between(X0,X2,X3)
| between(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connectivity_for_betweeness) ).
fof(f86,plain,
spl0_14,
inference(avatar_split_clause,[],[f8,f84]) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X5] :
( ~ between(X0,X5,X2)
| ~ between(X1,X2,X3)
| between(X3,X5,outer_pasch(X5,X0,X1,X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_pasch2) ).
fof(f82,plain,
( spl0_13
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f63,f60,f51,f80]) ).
fof(f51,plain,
( spl0_7
<=> ! [X0,X1,X3] :
( X0 = X1
| ~ equidistant(X0,X1,X3,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f63,plain,
( ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0
| ~ spl0_7
| ~ spl0_9 ),
inference(resolution,[],[f61,f52]) ).
fof(f52,plain,
( ! [X3,X0,X1] :
( ~ equidistant(X0,X1,X3,X3)
| X0 = X1 )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f78,plain,
spl0_12,
inference(avatar_split_clause,[],[f7,f76]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X5] :
( ~ between(X0,X5,X2)
| ~ between(X1,X2,X3)
| between(X0,outer_pasch(X5,X0,X1,X3,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_pasch1) ).
fof(f72,plain,
spl0_11,
inference(avatar_split_clause,[],[f6,f70]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X3,X2)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X3,X2,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
fof(f67,plain,
spl0_10,
inference(avatar_split_clause,[],[f2,f65]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| between(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_betweeness) ).
fof(f62,plain,
spl0_9,
inference(avatar_split_clause,[],[f14,f60]) ).
fof(f14,axiom,
! [X2,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X2),X5,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).
fof(f57,plain,
spl0_8,
inference(avatar_split_clause,[],[f13,f55]) ).
fof(f13,axiom,
! [X2,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
fof(f53,plain,
spl0_7,
inference(avatar_split_clause,[],[f5,f51]) ).
fof(f5,axiom,
! [X3,X0,X1] :
( X0 = X1
| ~ equidistant(X0,X1,X3,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f49,plain,
spl0_6,
inference(avatar_split_clause,[],[f1,f47]) ).
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| ~ between(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f45,plain,
spl0_5,
inference(avatar_split_clause,[],[f4,f43]) ).
fof(f4,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).
fof(f41,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f17,f38]) ).
fof(f38,plain,
( spl0_4
<=> between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f17,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension3) ).
fof(f36,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f16,f33]) ).
fof(f33,plain,
( spl0_3
<=> between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f16,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension2) ).
fof(f31,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f15,f28]) ).
fof(f28,plain,
( spl0_2
<=> between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f15,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension1) ).
fof(f26,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f21,f23]) ).
fof(f21,axiom,
~ between(a,b,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_between_a_and_b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : GEO003-1 : TPTP v8.2.0. Bugfixed v2.5.0.
% 0.02/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 13:42:23 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (26648)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.35 % (26653)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)
% 0.20/0.36 % (26653)First to succeed.
% 0.20/0.36 % (26651)WARNING: value z3 for option sas not known
% 0.20/0.36 % (26653)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26648"
% 0.20/0.36 % (26653)Refutation found. Thanks to Tanya!
% 0.20/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.36 % (26653)------------------------------
% 0.20/0.36 % (26653)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.36 % (26653)Termination reason: Refutation
% 0.20/0.36
% 0.20/0.36 % (26653)Memory used [KB]: 940
% 0.20/0.36 % (26653)Time elapsed: 0.006 s
% 0.20/0.36 % (26653)Instructions burned: 13 (million)
% 0.20/0.36 % (26648)Success in time 0.016 s
%------------------------------------------------------------------------------