TSTP Solution File: RNG081+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG081+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n023.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 31 18:14:51 EDT 2022
% Result : Theorem 2.22s 0.63s
% Output : Refutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 44
% Syntax : Number of formulae : 138 ( 12 unt; 0 def)
% Number of atoms : 1068 ( 347 equ)
% Maximal formula atoms : 64 ( 7 avg)
% Number of connectives : 1153 ( 223 ~; 223 |; 658 &)
% ( 20 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 21 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 18 con; 0-2 aty)
% Number of variables : 303 ( 65 !; 238 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2452,plain,
$false,
inference(avatar_sat_refutation,[],[f320,f351,f460,f462,f509,f511,f1051,f1055,f1204,f1228,f1229,f1423,f1435,f1606,f1857,f2096,f2226,f2261,f2430,f2434,f2441]) ).
fof(f2441,plain,
( ~ spl16_49
| spl16_140
| ~ spl16_166 ),
inference(avatar_split_clause,[],[f2440,f2161,f1850,f499]) ).
fof(f499,plain,
( spl16_49
<=> sdtlseqdt0(sz0z00,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_49])]) ).
fof(f1850,plain,
( spl16_140
<=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_140])]) ).
fof(f2161,plain,
( spl16_166
<=> sz0z00 = sdtasasdt0(xs,xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_166])]) ).
fof(f2440,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| spl16_140
| ~ spl16_166 ),
inference(forward_demodulation,[],[f1852,f2163]) ).
fof(f2163,plain,
( sz0z00 = sdtasasdt0(xs,xt)
| ~ spl16_166 ),
inference(avatar_component_clause,[],[f2161]) ).
fof(f1852,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt))
| spl16_140 ),
inference(avatar_component_clause,[],[f1850]) ).
fof(f2434,plain,
( ~ spl16_101
| spl16_141
| ~ spl16_166 ),
inference(avatar_split_clause,[],[f2421,f2161,f1854,f1392]) ).
fof(f1392,plain,
( spl16_101
<=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_101])]) ).
fof(f1854,plain,
( spl16_141
<=> sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_141])]) ).
fof(f2421,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| spl16_141
| ~ spl16_166 ),
inference(backward_demodulation,[],[f1856,f2163]) ).
fof(f1856,plain,
( ~ sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xs))
| spl16_141 ),
inference(avatar_component_clause,[],[f1854]) ).
fof(f2430,plain,
( ~ spl16_49
| spl16_165
| ~ spl16_166 ),
inference(avatar_split_clause,[],[f2423,f2161,f2150,f499]) ).
fof(f2150,plain,
( spl16_165
<=> sdtlseqdt0(sdtasasdt0(xs,xt),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_165])]) ).
fof(f2423,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| spl16_165
| ~ spl16_166 ),
inference(backward_demodulation,[],[f2151,f2163]) ).
fof(f2151,plain,
( ~ sdtlseqdt0(sdtasasdt0(xs,xt),sz0z00)
| spl16_165 ),
inference(avatar_component_clause,[],[f2150]) ).
fof(f2261,plain,
( ~ spl16_38
| spl16_166
| ~ spl16_2
| ~ spl16_107 ),
inference(avatar_split_clause,[],[f2259,f1433,f245,f2161,f432]) ).
fof(f432,plain,
( spl16_38
<=> aVector0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_38])]) ).
fof(f245,plain,
( spl16_2
<=> sz00 = aDimensionOf0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f1433,plain,
( spl16_107
<=> ! [X1] :
( sz0z00 = sdtasasdt0(X1,xt)
| ~ aVector0(X1)
| sz00 != aDimensionOf0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_107])]) ).
fof(f2259,plain,
( sz0z00 = sdtasasdt0(xs,xt)
| ~ aVector0(xs)
| ~ spl16_2
| ~ spl16_107 ),
inference(trivial_inequality_removal,[],[f2254]) ).
fof(f2254,plain,
( sz00 != sz00
| sz0z00 = sdtasasdt0(xs,xt)
| ~ aVector0(xs)
| ~ spl16_2
| ~ spl16_107 ),
inference(superposition,[],[f1434,f247]) ).
fof(f247,plain,
( sz00 = aDimensionOf0(xs)
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f1434,plain,
( ! [X1] :
( sz00 != aDimensionOf0(X1)
| ~ aVector0(X1)
| sz0z00 = sdtasasdt0(X1,xt) )
| ~ spl16_107 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f2226,plain,
( ~ spl16_165
| ~ spl16_118
| spl16_139 ),
inference(avatar_split_clause,[],[f2225,f1846,f1596,f2150]) ).
fof(f1596,plain,
( spl16_118
<=> sz0z00 = sdtasasdt0(xt,xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_118])]) ).
fof(f1846,plain,
( spl16_139
<=> sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xt,xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_139])]) ).
fof(f2225,plain,
( ~ sdtlseqdt0(sdtasasdt0(xs,xt),sz0z00)
| ~ spl16_118
| spl16_139 ),
inference(forward_demodulation,[],[f1848,f1598]) ).
fof(f1598,plain,
( sz0z00 = sdtasasdt0(xt,xt)
| ~ spl16_118 ),
inference(avatar_component_clause,[],[f1596]) ).
fof(f1848,plain,
( ~ sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xt,xt))
| spl16_139 ),
inference(avatar_component_clause,[],[f1846]) ).
fof(f2096,plain,
( ~ spl16_42
| spl16_118
| ~ spl16_2
| ~ spl16_104 ),
inference(avatar_split_clause,[],[f2087,f1421,f245,f1596,f447]) ).
fof(f447,plain,
( spl16_42
<=> aVector0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_42])]) ).
fof(f1421,plain,
( spl16_104
<=> ! [X1] :
( sz0z00 = sdtasasdt0(xt,X1)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_104])]) ).
fof(f2087,plain,
( sz0z00 = sdtasasdt0(xt,xt)
| ~ aVector0(xt)
| ~ spl16_2
| ~ spl16_104 ),
inference(trivial_inequality_removal,[],[f2085]) ).
fof(f2085,plain,
( ~ aVector0(xt)
| sz0z00 = sdtasasdt0(xt,xt)
| sz00 != sz00
| ~ spl16_2
| ~ spl16_104 ),
inference(superposition,[],[f1422,f423]) ).
fof(f423,plain,
( sz00 = aDimensionOf0(xt)
| ~ spl16_2 ),
inference(forward_demodulation,[],[f153,f247]) ).
fof(f153,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678_01) ).
fof(f1422,plain,
( ! [X1] :
( sz00 != aDimensionOf0(X1)
| ~ aVector0(X1)
| sz0z00 = sdtasasdt0(xt,X1) )
| ~ spl16_104 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f1857,plain,
( ~ spl16_83
| ~ spl16_139
| ~ spl16_80
| ~ spl16_140
| ~ spl16_141
| ~ spl16_89
| spl16_17 ),
inference(avatar_split_clause,[],[f1817,f317,f1200,f1854,f1850,f1089,f1846,f1128]) ).
fof(f1128,plain,
( spl16_83
<=> aScalar0(sdtasasdt0(xt,xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_83])]) ).
fof(f1089,plain,
( spl16_80
<=> aScalar0(sdtasasdt0(xs,xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_80])]) ).
fof(f1200,plain,
( spl16_89
<=> aScalar0(sdtasasdt0(xs,xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_89])]) ).
fof(f317,plain,
( spl16_17
<=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_17])]) ).
fof(f1817,plain,
( ~ aScalar0(sdtasasdt0(xs,xt))
| ~ sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xs))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt))
| ~ aScalar0(sdtasasdt0(xs,xs))
| ~ sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xt,xt))
| ~ aScalar0(sdtasasdt0(xt,xt))
| spl16_17 ),
inference(duplicate_literal_removal,[],[f1786]) ).
fof(f1786,plain,
( ~ aScalar0(sdtasasdt0(xs,xt))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt))
| ~ aScalar0(sdtasasdt0(xs,xt))
| ~ sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xt,xt))
| ~ sdtlseqdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xs))
| ~ aScalar0(sdtasasdt0(xt,xt))
| ~ aScalar0(sdtasasdt0(xs,xs))
| spl16_17 ),
inference(resolution,[],[f220,f318]) ).
fof(f318,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| spl16_17 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f220,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X3,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X3,X1))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X1,X3,X2,X0] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X0,X3))
| ~ sdtlseqdt0(X2,X0)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X3,X1,X2] :
( sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X0,X3))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X3,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X3)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(X2,X0)
& sdtlseqdt0(X1,X3) )
=> sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X0,X3)) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X1,X2,X0,X3] :
( ( aScalar0(X2)
& aScalar0(X3)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
fof(f1606,plain,
( ~ spl16_38
| spl16_101 ),
inference(avatar_split_clause,[],[f1604,f1392,f432]) ).
fof(f1604,plain,
( ~ aVector0(xs)
| spl16_101 ),
inference(resolution,[],[f1394,f149]) ).
fof(f149,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScSqPos) ).
fof(f1394,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
| spl16_101 ),
inference(avatar_component_clause,[],[f1392]) ).
fof(f1435,plain,
( ~ spl16_42
| spl16_107
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f1412,f245,f1433,f447]) ).
fof(f1412,plain,
( ! [X1] :
( sz0z00 = sdtasasdt0(X1,xt)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(xt) )
| ~ spl16_2 ),
inference(trivial_inequality_removal,[],[f1409]) ).
fof(f1409,plain,
( ! [X1] :
( sz0z00 = sdtasasdt0(X1,xt)
| ~ aVector0(xt)
| sz00 != sz00
| ~ aVector0(X1)
| sz00 != aDimensionOf0(X1) )
| ~ spl16_2 ),
inference(superposition,[],[f161,f423]) ).
fof(f161,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| sz0z00 = sdtasasdt0(X0,X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( sz00 != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X0)
& aVector0(X1) )
=> ( ( aDimensionOf0(X0) = aDimensionOf0(X1)
& sz00 = aDimensionOf0(X1) )
=> sz0z00 = sdtasasdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f1423,plain,
( ~ spl16_42
| spl16_104
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f1416,f245,f1421,f447]) ).
fof(f1416,plain,
( ! [X1] :
( sz0z00 = sdtasasdt0(xt,X1)
| ~ aVector0(xt)
| ~ aVector0(X1)
| sz00 != aDimensionOf0(X1) )
| ~ spl16_2 ),
inference(duplicate_literal_removal,[],[f1406]) ).
fof(f1406,plain,
( ! [X1] :
( sz00 != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X1)
| ~ aVector0(X1)
| sz0z00 = sdtasasdt0(xt,X1)
| ~ aVector0(xt) )
| ~ spl16_2 ),
inference(superposition,[],[f161,f423]) ).
fof(f1229,plain,
( ~ spl16_42
| spl16_83
| ~ spl16_2
| ~ spl16_76 ),
inference(avatar_split_clause,[],[f1226,f1053,f245,f1128,f447]) ).
fof(f1053,plain,
( spl16_76
<=> ! [X1] :
( sz00 != aDimensionOf0(X1)
| ~ aVector0(X1)
| aScalar0(sdtasasdt0(X1,xt)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_76])]) ).
fof(f1226,plain,
( aScalar0(sdtasasdt0(xt,xt))
| ~ aVector0(xt)
| ~ spl16_2
| ~ spl16_76 ),
inference(trivial_inequality_removal,[],[f1222]) ).
fof(f1222,plain,
( aScalar0(sdtasasdt0(xt,xt))
| ~ aVector0(xt)
| sz00 != sz00
| ~ spl16_2
| ~ spl16_76 ),
inference(superposition,[],[f1054,f423]) ).
fof(f1054,plain,
( ! [X1] :
( sz00 != aDimensionOf0(X1)
| ~ aVector0(X1)
| aScalar0(sdtasasdt0(X1,xt)) )
| ~ spl16_76 ),
inference(avatar_component_clause,[],[f1053]) ).
fof(f1228,plain,
( spl16_89
| ~ spl16_38
| ~ spl16_2
| ~ spl16_76 ),
inference(avatar_split_clause,[],[f1227,f1053,f245,f432,f1200]) ).
fof(f1227,plain,
( ~ aVector0(xs)
| aScalar0(sdtasasdt0(xs,xt))
| ~ spl16_2
| ~ spl16_76 ),
inference(trivial_inequality_removal,[],[f1221]) ).
fof(f1221,plain,
( aScalar0(sdtasasdt0(xs,xt))
| sz00 != sz00
| ~ aVector0(xs)
| ~ spl16_2
| ~ spl16_76 ),
inference(superposition,[],[f1054,f247]) ).
fof(f1204,plain,
( ~ spl16_38
| spl16_80
| ~ spl16_2
| ~ spl16_75 ),
inference(avatar_split_clause,[],[f1195,f1049,f245,f1089,f432]) ).
fof(f1049,plain,
( spl16_75
<=> ! [X0] :
( sz00 != aDimensionOf0(X0)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(xs,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_75])]) ).
fof(f1195,plain,
( aScalar0(sdtasasdt0(xs,xs))
| ~ aVector0(xs)
| ~ spl16_2
| ~ spl16_75 ),
inference(trivial_inequality_removal,[],[f1192]) ).
fof(f1192,plain,
( sz00 != sz00
| aScalar0(sdtasasdt0(xs,xs))
| ~ aVector0(xs)
| ~ spl16_2
| ~ spl16_75 ),
inference(superposition,[],[f1050,f247]) ).
fof(f1050,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| aScalar0(sdtasasdt0(xs,X0))
| ~ aVector0(X0) )
| ~ spl16_75 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f1055,plain,
( ~ spl16_42
| spl16_76
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f1031,f245,f1053,f447]) ).
fof(f1031,plain,
( ! [X1] :
( sz00 != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X1,xt))
| ~ aVector0(X1)
| ~ aVector0(xt) )
| ~ spl16_2 ),
inference(superposition,[],[f221,f423]) ).
fof(f221,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X1,X0))
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X1,X0))
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScPr) ).
fof(f1051,plain,
( ~ spl16_38
| spl16_75
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f1033,f245,f1049,f432]) ).
fof(f1033,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| ~ aVector0(xs)
| aScalar0(sdtasasdt0(xs,X0))
| ~ aVector0(X0) )
| ~ spl16_2 ),
inference(superposition,[],[f221,f247]) ).
fof(f511,plain,
spl16_50,
inference(avatar_contradiction_clause,[],[f510]) ).
fof(f510,plain,
( $false
| spl16_50 ),
inference(resolution,[],[f505,f154]) ).
fof(f154,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f505,plain,
( ~ aScalar0(sz0z00)
| spl16_50 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f503,plain,
( spl16_50
<=> aScalar0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_50])]) ).
fof(f509,plain,
( ~ spl16_50
| spl16_49 ),
inference(avatar_split_clause,[],[f508,f499,f503]) ).
fof(f508,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sz0z00) ),
inference(duplicate_literal_removal,[],[f507]) ).
fof(f507,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sz0z00) ),
inference(superposition,[],[f159,f210]) ).
fof(f210,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ~ aScalar0(X0)
| ( sz0z00 = sdtpldt0(smndt0(X0),X0)
& smndt0(smndt0(X0)) = X0
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0
& sz0z00 = sdtasdt0(X0,sz0z00)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = smndt0(sz0z00) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sz0z00 = sdtpldt0(smndt0(X0),X0)
& smndt0(smndt0(X0)) = X0
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0
& sz0z00 = sdtasdt0(X0,sz0z00)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = smndt0(sz0z00) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(f159,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).
fof(f462,plain,
spl16_42,
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f461,plain,
( $false
| spl16_42 ),
inference(resolution,[],[f449,f150]) ).
fof(f150,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
( aVector0(xs)
& aVector0(xt) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678) ).
fof(f449,plain,
( ~ aVector0(xt)
| spl16_42 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f460,plain,
spl16_38,
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f459,plain,
( $false
| spl16_38 ),
inference(resolution,[],[f434,f151]) ).
fof(f151,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f434,plain,
( ~ aVector0(xs)
| spl16_38 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f351,plain,
~ spl16_17,
inference(avatar_split_clause,[],[f171,f317]) ).
fof(f171,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( ( sziznziztdt0(xs) = sK1
& aScalar0(sK3)
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK4
& aScalar0(sK4)
& aScalar0(sK5)
& sK6 = sdtasasdt0(sK2,sK2)
& aScalar0(sK7)
& sdtasasdt0(sK1,sK2) = sK7
& aScalar0(sK8)
& sK8 = sdtasdt0(sK3,sK3)
& aScalar0(sK9)
& aScalar0(sK11)
& sdtasdt0(sK7,sK10) = sK12
& aScalar0(sK12)
& sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
& aScalar0(sK14)
& sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sK14 = sdtasdt0(sK11,sK13)
& sdtlseqdt0(sdtpldt0(sK12,sK12),sdtpldt0(sK11,sK13))
& sK13 = sdtasdt0(sK8,sK6)
& aScalar0(sK13)
& sdtasdt0(sK5,sK9) = sK11
& aScalar0(sK10)
& sdtasdt0(sK3,sK4) = sK10
& sK9 = sdtasdt0(sK4,sK4)
& aScalar0(sK6)
& sdtasasdt0(sK1,sK1) = sK5
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK3
& aVector0(sK2)
& sziznziztdt0(xt) = sK2
& aVector0(sK1) )
| sz00 = aDimensionOf0(xs) )
& ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14])],[f71,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123]) ).
fof(f123,plain,
( ? [X0] :
( sziznziztdt0(xs) = X0
& ? [X1] :
( ? [X2] :
( aScalar0(X2)
& ? [X3] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3)
& ? [X4] :
( aScalar0(X4)
& ? [X5] :
( sdtasasdt0(X1,X1) = X5
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(X0,X1) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(X6,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) ) )
& sdtasdt0(X4,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(X2,X3) = X9 )
& sdtasdt0(X3,X3) = X8 ) ) )
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4 ) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2 )
& aVector0(X1)
& sziznziztdt0(xt) = X1 )
& aVector0(X0) )
=> ( sziznziztdt0(xs) = sK1
& ? [X1] :
( ? [X2] :
( aScalar0(X2)
& ? [X3] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3)
& ? [X4] :
( aScalar0(X4)
& ? [X5] :
( sdtasasdt0(X1,X1) = X5
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(sK1,X1) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(X6,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) ) )
& sdtasdt0(X4,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(X2,X3) = X9 )
& sdtasdt0(X3,X3) = X8 ) ) )
& aScalar0(X5) )
& sdtasasdt0(sK1,sK1) = X4 ) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2 )
& aVector0(X1)
& sziznziztdt0(xt) = X1 )
& aVector0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
( ? [X1] :
( ? [X2] :
( aScalar0(X2)
& ? [X3] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3)
& ? [X4] :
( aScalar0(X4)
& ? [X5] :
( sdtasasdt0(X1,X1) = X5
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(sK1,X1) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(X6,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) ) )
& sdtasdt0(X4,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(X2,X3) = X9 )
& sdtasdt0(X3,X3) = X8 ) ) )
& aScalar0(X5) )
& sdtasasdt0(sK1,sK1) = X4 ) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2 )
& aVector0(X1)
& sziznziztdt0(xt) = X1 )
=> ( ? [X2] :
( aScalar0(X2)
& ? [X3] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3)
& ? [X4] :
( aScalar0(X4)
& ? [X5] :
( sdtasasdt0(sK2,sK2) = X5
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(sK1,sK2) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(X6,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) ) )
& sdtasdt0(X4,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(X2,X3) = X9 )
& sdtasdt0(X3,X3) = X8 ) ) )
& aScalar0(X5) )
& sdtasasdt0(sK1,sK1) = X4 ) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2 )
& aVector0(sK2)
& sziznziztdt0(xt) = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
( ? [X2] :
( aScalar0(X2)
& ? [X3] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3)
& ? [X4] :
( aScalar0(X4)
& ? [X5] :
( sdtasasdt0(sK2,sK2) = X5
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(sK1,sK2) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(X6,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) ) )
& sdtasdt0(X4,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(X2,X3) = X9 )
& sdtasdt0(X3,X3) = X8 ) ) )
& aScalar0(X5) )
& sdtasasdt0(sK1,sK1) = X4 ) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2 )
=> ( aScalar0(sK3)
& ? [X3] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3)
& ? [X4] :
( aScalar0(X4)
& ? [X5] :
( sdtasasdt0(sK2,sK2) = X5
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(sK1,sK2) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasdt0(sK3,sK3) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(X6,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) ) )
& sdtasdt0(X4,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(sK3,X3) = X9 )
& sdtasdt0(X3,X3) = X8 ) ) )
& aScalar0(X5) )
& sdtasasdt0(sK1,sK1) = X4 ) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
( ? [X3] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3)
& ? [X4] :
( aScalar0(X4)
& ? [X5] :
( sdtasasdt0(sK2,sK2) = X5
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(sK1,sK2) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasdt0(sK3,sK3) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(X6,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) ) )
& sdtasdt0(X4,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(sK3,X3) = X9 )
& sdtasdt0(X3,X3) = X8 ) ) )
& aScalar0(X5) )
& sdtasasdt0(sK1,sK1) = X4 ) )
=> ( sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK4
& aScalar0(sK4)
& ? [X4] :
( aScalar0(X4)
& ? [X5] :
( sdtasasdt0(sK2,sK2) = X5
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(sK1,sK2) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasdt0(sK3,sK3) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(X6,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) ) )
& sdtasdt0(X4,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(sK3,sK4) = X9 )
& sdtasdt0(sK4,sK4) = X8 ) ) )
& aScalar0(X5) )
& sdtasasdt0(sK1,sK1) = X4 ) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
( ? [X4] :
( aScalar0(X4)
& ? [X5] :
( sdtasasdt0(sK2,sK2) = X5
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(sK1,sK2) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasdt0(sK3,sK3) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(X6,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) ) )
& sdtasdt0(X4,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(sK3,sK4) = X9 )
& sdtasdt0(sK4,sK4) = X8 ) ) )
& aScalar0(X5) )
& sdtasasdt0(sK1,sK1) = X4 )
=> ( aScalar0(sK5)
& ? [X5] :
( sdtasasdt0(sK2,sK2) = X5
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(sK1,sK2) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasdt0(sK3,sK3) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(X6,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(sK5,X5))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(sK5,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) ) )
& sdtasdt0(sK5,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(sK3,sK4) = X9 )
& sdtasdt0(sK4,sK4) = X8 ) ) )
& aScalar0(X5) )
& sdtasasdt0(sK1,sK1) = sK5 ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
( ? [X5] :
( sdtasasdt0(sK2,sK2) = X5
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(sK1,sK2) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasdt0(sK3,sK3) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(X6,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(sK5,X5))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(sK5,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) ) )
& sdtasdt0(sK5,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(sK3,sK4) = X9 )
& sdtasdt0(sK4,sK4) = X8 ) ) )
& aScalar0(X5) )
=> ( sK6 = sdtasasdt0(sK2,sK2)
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(sK1,sK2) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasdt0(sK3,sK3) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(X6,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(sK5,sK6))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(sK5,X7),sdtpldt0(sK6,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(X7,sK6) = X12
& aScalar0(X12) ) )
& sdtasdt0(sK5,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(sK3,sK4) = X9 )
& sdtasdt0(sK4,sK4) = X8 ) ) )
& aScalar0(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( ? [X6] :
( aScalar0(X6)
& sdtasasdt0(sK1,sK2) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasdt0(sK3,sK3) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(X6,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(sK5,sK6))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(sK5,X7),sdtpldt0(sK6,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(X7,sK6) = X12
& aScalar0(X12) ) )
& sdtasdt0(sK5,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(sK3,sK4) = X9 )
& sdtasdt0(sK4,sK4) = X8 ) ) )
=> ( aScalar0(sK7)
& sdtasasdt0(sK1,sK2) = sK7
& ? [X7] :
( aScalar0(X7)
& sdtasdt0(sK3,sK3) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(sK7,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,X9),sdtpldt0(sK7,X9)),sdtasdt0(sdtpldt0(sK5,X7),sdtpldt0(sK6,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(X7,sK6) = X12
& aScalar0(X12) ) )
& sdtasdt0(sK5,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(sK3,sK4) = X9 )
& sdtasdt0(sK4,sK4) = X8 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
( ? [X7] :
( aScalar0(X7)
& sdtasdt0(sK3,sK3) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(sK7,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,X9),sdtpldt0(sK7,X9)),sdtasdt0(sdtpldt0(sK5,X7),sdtpldt0(sK6,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(X7,sK6) = X12
& aScalar0(X12) ) )
& sdtasdt0(sK5,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(sK3,sK4) = X9 )
& sdtasdt0(sK4,sK4) = X8 ) )
=> ( aScalar0(sK8)
& sK8 = sdtasdt0(sK3,sK3)
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(sK7,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,X9),sdtpldt0(sK7,X9)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(sK8,sK6) = X12
& aScalar0(X12) ) )
& sdtasdt0(sK5,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(sK3,sK4) = X9 )
& sdtasdt0(sK4,sK4) = X8 ) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(sK7,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,X9),sdtpldt0(sK7,X9)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(sK8,sK6) = X12
& aScalar0(X12) ) )
& sdtasdt0(sK5,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(sK3,sK4) = X9 )
& sdtasdt0(sK4,sK4) = X8 )
=> ( aScalar0(sK9)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(sK7,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,X9),sdtpldt0(sK7,X9)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(sK8,sK6) = X12
& aScalar0(X12) ) )
& sdtasdt0(sK5,sK9) = X10 )
& aScalar0(X9)
& sdtasdt0(sK3,sK4) = X9 )
& sK9 = sdtasdt0(sK4,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
( ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(sK7,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,X9),sdtpldt0(sK7,X9)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(sK8,sK6) = X12
& aScalar0(X12) ) )
& sdtasdt0(sK5,sK9) = X10 )
& aScalar0(X9)
& sdtasdt0(sK3,sK4) = X9 )
=> ( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(sK7,sK10) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(sK8,sK6) = X12
& aScalar0(X12) ) )
& sdtasdt0(sK5,sK9) = X10 )
& aScalar0(sK10)
& sdtasdt0(sK3,sK4) = sK10 ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(sK7,sK10) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(sK8,sK6) = X12
& aScalar0(X12) ) )
& sdtasdt0(sK5,sK9) = X10 )
=> ( aScalar0(sK11)
& ? [X11] :
( sdtasdt0(sK7,sK10) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(sK11,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(sK11,X12)) )
& sdtasdt0(sK8,sK6) = X12
& aScalar0(X12) ) )
& sdtasdt0(sK5,sK9) = sK11 ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
( ? [X11] :
( sdtasdt0(sK7,sK10) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(sK11,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(sK11,X12)) )
& sdtasdt0(sK8,sK6) = X12
& aScalar0(X12) ) )
=> ( sdtasdt0(sK7,sK10) = sK12
& aScalar0(sK12)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(sK11,X12) = X13
& sdtlseqdt0(sdtpldt0(sK12,sK12),sdtpldt0(sK11,X12)) )
& sdtasdt0(sK8,sK6) = X12
& aScalar0(X12) ) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
( ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(sK11,X12) = X13
& sdtlseqdt0(sdtpldt0(sK12,sK12),sdtpldt0(sK11,X12)) )
& sdtasdt0(sK8,sK6) = X12
& aScalar0(X12) )
=> ( ? [X13] :
( sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(sK11,sK13) = X13
& sdtlseqdt0(sdtpldt0(sK12,sK12),sdtpldt0(sK11,sK13)) )
& sK13 = sdtasdt0(sK8,sK6)
& aScalar0(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(sK11,sK13) = X13
& sdtlseqdt0(sdtpldt0(sK12,sK12),sdtpldt0(sK11,sK13)) )
=> ( sdtlseqdt0(sdtasdt0(sK7,sK7),sdtasdt0(sK5,sK6))
& aScalar0(sK14)
& sdtlseqdt0(sdtasdt0(sdtpldt0(sK7,sK10),sdtpldt0(sK7,sK10)),sdtasdt0(sdtpldt0(sK5,sK8),sdtpldt0(sK6,sK9)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sK14 = sdtasdt0(sK11,sK13)
& sdtlseqdt0(sdtpldt0(sK12,sK12),sdtpldt0(sK11,sK13)) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ( ? [X0] :
( sziznziztdt0(xs) = X0
& ? [X1] :
( ? [X2] :
( aScalar0(X2)
& ? [X3] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3)
& ? [X4] :
( aScalar0(X4)
& ? [X5] :
( sdtasasdt0(X1,X1) = X5
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(X0,X1) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(X6,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) ) )
& sdtasdt0(X4,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(X2,X3) = X9 )
& sdtasdt0(X3,X3) = X8 ) ) )
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4 ) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2 )
& aVector0(X1)
& sziznziztdt0(xt) = X1 )
& aVector0(X0) )
| sz00 = aDimensionOf0(xs) )
& ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,negated_conjecture,
~ ( ( sz00 != aDimensionOf0(xs)
=> ? [X0] :
( sziznziztdt0(xs) = X0
& ? [X1] :
( ? [X2] :
( aScalar0(X2)
& ? [X3] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3)
& ? [X4] :
( aScalar0(X4)
& ? [X5] :
( sdtasasdt0(X1,X1) = X5
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(X0,X1) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(X6,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) ) )
& sdtasdt0(X4,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(X2,X3) = X9 )
& sdtasdt0(X3,X3) = X8 ) ) )
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4 ) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2 )
& aVector0(X1)
& sziznziztdt0(xt) = X1 )
& aVector0(X0) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(negated_conjecture,[],[f41]) ).
fof(f41,conjecture,
( ( sz00 != aDimensionOf0(xs)
=> ? [X0] :
( sziznziztdt0(xs) = X0
& ? [X1] :
( ? [X2] :
( aScalar0(X2)
& ? [X3] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3)
& ? [X4] :
( aScalar0(X4)
& ? [X5] :
( sdtasasdt0(X1,X1) = X5
& ? [X6] :
( aScalar0(X6)
& sdtasasdt0(X0,X1) = X6
& ? [X7] :
( aScalar0(X7)
& sdtasdt0(X2,X2) = X7
& ? [X8] :
( aScalar0(X8)
& ? [X9] :
( ? [X10] :
( aScalar0(X10)
& ? [X11] :
( sdtasdt0(X6,X9) = X11
& aScalar0(X11)
& ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& aScalar0(X13)
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtasdt0(X10,X12) = X13
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12)) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) ) )
& sdtasdt0(X4,X8) = X10 )
& aScalar0(X9)
& sdtasdt0(X2,X3) = X9 )
& sdtasdt0(X3,X3) = X8 ) ) )
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4 ) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2 )
& aVector0(X1)
& sziznziztdt0(xt) = X1 )
& aVector0(X0) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f320,plain,
( spl16_2
| spl16_17 ),
inference(avatar_split_clause,[],[f186,f317,f245]) ).
fof(f186,plain,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| sz00 = aDimensionOf0(xs) ),
inference(cnf_transformation,[],[f137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG081+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 12:23:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 % (16863)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.46 % (16863)Instruction limit reached!
% 0.19/0.46 % (16863)------------------------------
% 0.19/0.46 % (16863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (16863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (16863)Termination reason: Unknown
% 0.19/0.46 % (16863)Termination phase: Preprocessing 3
% 0.19/0.46
% 0.19/0.46 % (16863)Memory used [KB]: 1535
% 0.19/0.46 % (16863)Time elapsed: 0.003 s
% 0.19/0.46 % (16863)Instructions burned: 3 (million)
% 0.19/0.46 % (16863)------------------------------
% 0.19/0.46 % (16863)------------------------------
% 0.19/0.47 % (16888)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.47 % (16882)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.47 % (16871)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.49 % (16871)Instruction limit reached!
% 0.19/0.49 % (16871)------------------------------
% 0.19/0.49 % (16871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (16871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (16871)Termination reason: Unknown
% 0.19/0.49 % (16871)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (16871)Memory used [KB]: 6268
% 0.19/0.49 % (16871)Time elapsed: 0.106 s
% 0.19/0.49 % (16871)Instructions burned: 12 (million)
% 0.19/0.49 % (16871)------------------------------
% 0.19/0.49 % (16871)------------------------------
% 0.19/0.50 % (16866)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51 % (16867)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (16861)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51 % (16864)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (16882)Instruction limit reached!
% 0.19/0.51 % (16882)------------------------------
% 0.19/0.51 % (16882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16882)Termination reason: Unknown
% 0.19/0.51 % (16882)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (16882)Memory used [KB]: 6524
% 0.19/0.51 % (16882)Time elapsed: 0.125 s
% 0.19/0.51 % (16882)Instructions burned: 31 (million)
% 0.19/0.51 % (16882)------------------------------
% 0.19/0.51 % (16882)------------------------------
% 0.19/0.51 % (16885)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.51 % (16877)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (16862)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (16865)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (16869)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.52 % (16886)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (16866)Instruction limit reached!
% 0.19/0.53 % (16866)------------------------------
% 0.19/0.53 % (16866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16875)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (16890)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53 % (16875)Instruction limit reached!
% 0.19/0.53 % (16875)------------------------------
% 0.19/0.53 % (16875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16875)Termination reason: Unknown
% 0.19/0.53 % (16875)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (16875)Memory used [KB]: 1535
% 0.19/0.53 % (16875)Time elapsed: 0.002 s
% 0.19/0.53 % (16875)Instructions burned: 3 (million)
% 0.19/0.53 % (16875)------------------------------
% 0.19/0.53 % (16875)------------------------------
% 0.19/0.53 % (16880)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (16880)Instruction limit reached!
% 0.19/0.53 % (16880)------------------------------
% 0.19/0.53 % (16880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16880)Termination reason: Unknown
% 0.19/0.53 % (16880)Termination phase: Preprocessing 1
% 0.19/0.53
% 0.19/0.53 % (16880)Memory used [KB]: 1407
% 0.19/0.53 % (16880)Time elapsed: 0.002 s
% 0.19/0.53 % (16880)Instructions burned: 2 (million)
% 0.19/0.53 % (16880)------------------------------
% 0.19/0.53 % (16880)------------------------------
% 0.19/0.53 % (16870)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53 % (16874)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (16879)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (16881)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.53 % (16884)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.53 % (16868)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.54 % (16862)Instruction limit reached!
% 0.19/0.54 % (16862)------------------------------
% 0.19/0.54 % (16862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16873)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.54 % (16887)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.54 % (16889)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.54 % (16876)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (16883)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (16862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (16862)Termination reason: Unknown
% 0.19/0.54 % (16862)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (16862)Memory used [KB]: 6396
% 0.19/0.54 % (16862)Time elapsed: 0.131 s
% 0.19/0.54 % (16862)Instructions burned: 14 (million)
% 0.19/0.54 % (16862)------------------------------
% 0.19/0.54 % (16862)------------------------------
% 0.19/0.55 % (16866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (16866)Termination reason: Unknown
% 0.19/0.55 % (16866)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (16866)Memory used [KB]: 1791
% 0.19/0.55 % (16866)Time elapsed: 0.129 s
% 0.19/0.55 % (16866)Instructions burned: 16 (million)
% 0.19/0.55 % (16866)------------------------------
% 0.19/0.55 % (16866)------------------------------
% 0.19/0.55 % (16890)Instruction limit reached!
% 0.19/0.55 % (16890)------------------------------
% 0.19/0.55 % (16890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (16890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (16890)Termination reason: Unknown
% 0.19/0.55 % (16890)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (16890)Memory used [KB]: 6140
% 0.19/0.55 % (16890)Time elapsed: 0.156 s
% 0.19/0.55 % (16890)Instructions burned: 9 (million)
% 0.19/0.55 % (16890)------------------------------
% 0.19/0.55 % (16890)------------------------------
% 0.19/0.55 % (16872)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (16865)Instruction limit reached!
% 0.19/0.55 % (16865)------------------------------
% 0.19/0.55 % (16865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (16865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (16865)Termination reason: Unknown
% 0.19/0.55 % (16865)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (16865)Memory used [KB]: 6268
% 0.19/0.55 % (16865)Time elapsed: 0.149 s
% 0.19/0.55 % (16865)Instructions burned: 13 (million)
% 0.19/0.55 % (16865)------------------------------
% 0.19/0.55 % (16865)------------------------------
% 0.19/0.55 % (16879)Instruction limit reached!
% 0.19/0.55 % (16879)------------------------------
% 0.19/0.55 % (16879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (16879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (16879)Termination reason: Unknown
% 0.19/0.55 % (16879)Termination phase: shuffling
% 0.19/0.55
% 0.19/0.55 % (16879)Memory used [KB]: 1535
% 0.19/0.55 % (16879)Time elapsed: 0.003 s
% 0.19/0.55 % (16879)Instructions burned: 5 (million)
% 0.19/0.55 % (16879)------------------------------
% 0.19/0.55 % (16879)------------------------------
% 0.19/0.55 % (16891)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.55 % (16881)Refutation not found, incomplete strategy% (16881)------------------------------
% 0.19/0.55 % (16881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (16881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (16881)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (16881)Memory used [KB]: 6140
% 0.19/0.55 % (16881)Time elapsed: 0.133 s
% 0.19/0.55 % (16881)Instructions burned: 8 (million)
% 0.19/0.55 % (16881)------------------------------
% 0.19/0.55 % (16881)------------------------------
% 0.19/0.55 % (16872)Instruction limit reached!
% 0.19/0.55 % (16872)------------------------------
% 0.19/0.55 % (16872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (16872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (16872)Termination reason: Unknown
% 0.19/0.55 % (16872)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (16872)Memory used [KB]: 6140
% 0.19/0.55 % (16872)Time elapsed: 0.005 s
% 0.19/0.55 % (16872)Instructions burned: 8 (million)
% 0.19/0.55 % (16872)------------------------------
% 0.19/0.55 % (16872)------------------------------
% 0.19/0.56 % (16888)Instruction limit reached!
% 0.19/0.56 % (16888)------------------------------
% 0.19/0.56 % (16888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (16888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (16888)Termination reason: Unknown
% 0.19/0.56 % (16888)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (16888)Memory used [KB]: 6652
% 0.19/0.56 % (16888)Time elapsed: 0.177 s
% 0.19/0.56 % (16888)Instructions burned: 101 (million)
% 0.19/0.56 % (16888)------------------------------
% 0.19/0.56 % (16888)------------------------------
% 0.19/0.56 % (16876)Instruction limit reached!
% 0.19/0.56 % (16876)------------------------------
% 0.19/0.56 % (16876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (16876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (16876)Termination reason: Unknown
% 0.19/0.56 % (16876)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (16876)Memory used [KB]: 6140
% 0.19/0.56 % (16876)Time elapsed: 0.005 s
% 0.19/0.56 % (16876)Instructions burned: 7 (million)
% 0.19/0.56 % (16876)------------------------------
% 0.19/0.56 % (16876)------------------------------
% 0.19/0.57 % (16873)Instruction limit reached!
% 0.19/0.57 % (16873)------------------------------
% 0.19/0.57 % (16873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (16873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (16873)Termination reason: Unknown
% 0.19/0.57 % (16873)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (16873)Memory used [KB]: 1791
% 0.19/0.57 % (16873)Time elapsed: 0.147 s
% 0.19/0.57 % (16873)Instructions burned: 16 (million)
% 0.19/0.57 % (16873)------------------------------
% 0.19/0.57 % (16873)------------------------------
% 0.19/0.57 % (16889)Instruction limit reached!
% 0.19/0.57 % (16889)------------------------------
% 0.19/0.57 % (16889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (16889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (16889)Termination reason: Unknown
% 0.19/0.57 % (16889)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (16889)Memory used [KB]: 6524
% 0.19/0.57 % (16889)Time elapsed: 0.163 s
% 0.19/0.57 % (16889)Instructions burned: 25 (million)
% 0.19/0.57 % (16889)------------------------------
% 0.19/0.57 % (16889)------------------------------
% 0.19/0.58 % (16870)Instruction limit reached!
% 0.19/0.58 % (16870)------------------------------
% 0.19/0.58 % (16870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (16870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (16870)Termination reason: Unknown
% 0.19/0.58 % (16870)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (16870)Memory used [KB]: 6652
% 0.19/0.58 % (16870)Time elapsed: 0.168 s
% 0.19/0.58 % (16870)Instructions burned: 34 (million)
% 0.19/0.58 % (16870)------------------------------
% 0.19/0.58 % (16870)------------------------------
% 0.19/0.58 % (16877)Instruction limit reached!
% 0.19/0.58 % (16877)------------------------------
% 0.19/0.58 % (16877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (16877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (16891)Instruction limit reached!
% 0.19/0.58 % (16891)------------------------------
% 0.19/0.58 % (16891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (16891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (16891)Termination reason: Unknown
% 0.19/0.58 % (16891)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (16891)Memory used [KB]: 6396
% 0.19/0.58 % (16891)Time elapsed: 0.185 s
% 0.19/0.58 % (16891)Instructions burned: 25 (million)
% 0.19/0.58 % (16891)------------------------------
% 0.19/0.58 % (16891)------------------------------
% 0.19/0.58 % (16877)Termination reason: Unknown
% 0.19/0.58 % (16877)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (16877)Memory used [KB]: 6652
% 0.19/0.58 % (16877)Time elapsed: 0.165 s
% 0.19/0.58 % (16877)Instructions burned: 50 (million)
% 0.19/0.58 % (16877)------------------------------
% 0.19/0.58 % (16877)------------------------------
% 0.19/0.59 % (16867)Instruction limit reached!
% 0.19/0.59 % (16867)------------------------------
% 0.19/0.59 % (16867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (16867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (16867)Termination reason: Unknown
% 0.19/0.59 % (16867)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (16867)Memory used [KB]: 6524
% 0.19/0.59 % (16867)Time elapsed: 0.179 s
% 0.19/0.59 % (16867)Instructions burned: 39 (million)
% 0.19/0.59 % (16867)------------------------------
% 0.19/0.59 % (16867)------------------------------
% 1.92/0.59 % (16885)Instruction limit reached!
% 1.92/0.59 % (16885)------------------------------
% 1.92/0.59 % (16885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.59 % (16885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.59 % (16885)Termination reason: Unknown
% 1.92/0.59 % (16885)Termination phase: Saturation
% 1.92/0.59
% 1.92/0.59 % (16885)Memory used [KB]: 2174
% 1.92/0.59 % (16885)Time elapsed: 0.169 s
% 1.92/0.59 % (16885)Instructions burned: 47 (million)
% 1.92/0.59 % (16885)------------------------------
% 1.92/0.59 % (16885)------------------------------
% 1.92/0.59 % (16874)Instruction limit reached!
% 1.92/0.59 % (16874)------------------------------
% 1.92/0.59 % (16874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.59 % (16874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.59 % (16874)Termination reason: Unknown
% 1.92/0.59 % (16874)Termination phase: Saturation
% 1.92/0.59
% 1.92/0.59 % (16874)Memory used [KB]: 7036
% 1.92/0.59 % (16874)Time elapsed: 0.186 s
% 1.92/0.59 % (16874)Instructions burned: 52 (million)
% 1.92/0.59 % (16874)------------------------------
% 1.92/0.59 % (16874)------------------------------
% 1.92/0.60 % (16935)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.92/0.60 % (16864)Instruction limit reached!
% 1.92/0.60 % (16864)------------------------------
% 1.92/0.60 % (16864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.60 % (16864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.60 % (16864)Termination reason: Unknown
% 1.92/0.60 % (16864)Termination phase: Saturation
% 1.92/0.60
% 1.92/0.60 % (16864)Memory used [KB]: 7291
% 1.92/0.60 % (16864)Time elapsed: 0.203 s
% 1.92/0.60 % (16864)Instructions burned: 52 (million)
% 1.92/0.60 % (16864)------------------------------
% 1.92/0.60 % (16864)------------------------------
% 2.06/0.61 % (16884)First to succeed.
% 2.06/0.61 % (16868)Instruction limit reached!
% 2.06/0.61 % (16868)------------------------------
% 2.06/0.61 % (16868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.62 % (16868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.62 % (16868)Termination reason: Unknown
% 2.06/0.62 % (16868)Termination phase: Saturation
% 2.06/0.62
% 2.06/0.62 % (16868)Memory used [KB]: 6780
% 2.06/0.62 % (16868)Time elapsed: 0.192 s
% 2.06/0.62 % (16868)Instructions burned: 39 (million)
% 2.06/0.62 % (16868)------------------------------
% 2.06/0.62 % (16868)------------------------------
% 2.06/0.62 % (16869)Instruction limit reached!
% 2.06/0.62 % (16869)------------------------------
% 2.06/0.62 % (16869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.62 % (16869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.62 % (16869)Termination reason: Unknown
% 2.06/0.62 % (16869)Termination phase: Saturation
% 2.06/0.62
% 2.06/0.62 % (16869)Memory used [KB]: 7036
% 2.06/0.62 % (16869)Time elapsed: 0.224 s
% 2.06/0.62 % (16869)Instructions burned: 50 (million)
% 2.06/0.62 % (16869)------------------------------
% 2.06/0.62 % (16869)------------------------------
% 2.22/0.62 % (16886)Instruction limit reached!
% 2.22/0.62 % (16886)------------------------------
% 2.22/0.62 % (16886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.62 % (16886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.62 % (16886)Termination reason: Unknown
% 2.22/0.62 % (16886)Termination phase: Saturation
% 2.22/0.62
% 2.22/0.62 % (16886)Memory used [KB]: 6652
% 2.22/0.62 % (16886)Time elapsed: 0.191 s
% 2.22/0.62 % (16886)Instructions burned: 52 (million)
% 2.22/0.62 % (16886)------------------------------
% 2.22/0.62 % (16886)------------------------------
% 2.22/0.63 % (16884)Refutation found. Thanks to Tanya!
% 2.22/0.63 % SZS status Theorem for theBenchmark
% 2.22/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.22/0.63 % (16884)------------------------------
% 2.22/0.63 % (16884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.63 % (16884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.63 % (16884)Termination reason: Refutation
% 2.22/0.63
% 2.22/0.63 % (16884)Memory used [KB]: 7675
% 2.22/0.63 % (16884)Time elapsed: 0.194 s
% 2.22/0.63 % (16884)Instructions burned: 50 (million)
% 2.22/0.63 % (16884)------------------------------
% 2.22/0.63 % (16884)------------------------------
% 2.22/0.63 % (16857)Success in time 0.27 s
%------------------------------------------------------------------------------