TSTP Solution File: GRP368-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP368-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n022.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 May 1 02:28:43 EDT 2024
% Result : Unsatisfiable 0.92s 0.86s
% Output : Refutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 75
% Syntax : Number of formulae : 357 ( 37 unt; 0 def)
% Number of atoms : 1338 ( 278 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1837 ( 856 ~; 957 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 25 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 19 con; 0-2 aty)
% Number of variables : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1404,plain,
$false,
inference(avatar_sat_refutation,[],[f98,f103,f108,f123,f124,f125,f126,f127,f132,f133,f134,f135,f136,f141,f142,f143,f144,f145,f150,f151,f152,f153,f159,f160,f161,f162,f189,f253,f264,f294,f324,f333,f346,f600,f667,f672,f683,f713,f837,f857,f866,f878,f885,f899,f1115,f1243,f1345,f1380,f1384,f1392]) ).
fof(f1392,plain,
( ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_18 ),
inference(avatar_contradiction_clause,[],[f1391]) ).
fof(f1391,plain,
( $false
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_18 ),
inference(subsumption_resolution,[],[f1390,f35]) ).
fof(f35,plain,
~ sP0(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1390,plain,
( sP0(sk_c7)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_18 ),
inference(forward_demodulation,[],[f1389,f1244]) ).
fof(f1244,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f1240,f1192]) ).
fof(f1192,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f1,f1191]) ).
fof(f1191,plain,
( identity = sk_c5
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f1186,f1146]) ).
fof(f1146,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f1141,f907]) ).
fof(f907,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl21_2 ),
inference(forward_demodulation,[],[f47,f97]) ).
fof(f97,plain,
( sk_c5 = sF10
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl21_2
<=> sk_c5 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f47,plain,
multiply(sk_c6,sk_c7) = sF10,
introduced(function_definition,[new_symbols(definition,[sF10])]) ).
fof(f1141,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c6)
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6 ),
inference(superposition,[],[f257,f1135]) ).
fof(f1135,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl21_5
| ~ spl21_6 ),
inference(superposition,[],[f944,f1112]) ).
fof(f1112,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl21_6 ),
inference(forward_demodulation,[],[f56,f117]) ).
fof(f117,plain,
( sk_c7 = sF15
| ~ spl21_6 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl21_6
<=> sk_c7 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_6])]) ).
fof(f56,plain,
multiply(sk_c4,sk_c6) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f944,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl21_5 ),
inference(forward_demodulation,[],[f943,f1]) ).
fof(f943,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl21_5 ),
inference(superposition,[],[f3,f928]) ).
fof(f928,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl21_5 ),
inference(backward_demodulation,[],[f739,f112]) ).
fof(f112,plain,
( sk_c7 = sF14
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl21_5
<=> sk_c7 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_5])]) ).
fof(f739,plain,
identity = multiply(sF14,sk_c4),
inference(superposition,[],[f2,f54]) ).
fof(f54,plain,
inverse(sk_c4) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',associativity) ).
fof(f257,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl21_1 ),
inference(backward_demodulation,[],[f202,f93]) ).
fof(f93,plain,
( sk_c6 = sF11
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl21_1
<=> sk_c6 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f202,plain,
! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = multiply(sF11,X0),
inference(superposition,[],[f3,f48]) ).
fof(f48,plain,
multiply(sk_c5,sk_c7) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f1186,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl21_3 ),
inference(superposition,[],[f2,f906]) ).
fof(f906,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl21_3 ),
inference(forward_demodulation,[],[f50,f102]) ).
fof(f102,plain,
( sk_c5 = sF12
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl21_3
<=> sk_c5 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f50,plain,
inverse(sk_c6) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',left_identity) ).
fof(f1240,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f1200,f1227]) ).
fof(f1227,plain,
( sk_c5 = sk_c6
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f1221,f905]) ).
fof(f905,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl21_4 ),
inference(forward_demodulation,[],[f52,f107]) ).
fof(f107,plain,
( sk_c6 = sF13
| ~ spl21_4 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl21_4
<=> sk_c6 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).
fof(f52,plain,
multiply(sk_c7,sk_c5) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f1221,plain,
( sk_c5 = multiply(sk_c7,sk_c5)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f1148,f1200]) ).
fof(f1148,plain,
( sk_c5 = multiply(sk_c6,sk_c5)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f1140,f1146]) ).
fof(f1140,plain,
( multiply(sk_c5,sk_c6) = multiply(sk_c6,sk_c5)
| ~ spl21_1
| ~ spl21_4 ),
inference(superposition,[],[f257,f905]) ).
fof(f1200,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f1119,f1192]) ).
fof(f1119,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl21_4 ),
inference(superposition,[],[f3,f905]) ).
fof(f1389,plain,
( sP0(multiply(sk_c7,sk_c7))
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_18 ),
inference(subsumption_resolution,[],[f1387,f36]) ).
fof(f36,plain,
~ sP1(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1387,plain,
( sP1(sk_c7)
| sP0(multiply(sk_c7,sk_c7))
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_18 ),
inference(superposition,[],[f1386,f1330]) ).
fof(f1330,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f1236,f1300]) ).
fof(f1300,plain,
( sk_c5 = sk_c7
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f1298,f1236]) ).
fof(f1298,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f929,f1297]) ).
fof(f1297,plain,
( sk_c5 = sk_c4
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f1196,f1244]) ).
fof(f1196,plain,
( sk_c5 = multiply(sk_c7,sk_c4)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f928,f1191]) ).
fof(f929,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl21_5 ),
inference(backward_demodulation,[],[f54,f112]) ).
fof(f1236,plain,
( sk_c5 = inverse(sk_c5)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f906,f1227]) ).
fof(f1386,plain,
( ! [X6] :
( sP1(inverse(X6))
| sP0(multiply(X6,sk_c7)) )
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_18 ),
inference(forward_demodulation,[],[f188,f1323]) ).
fof(f1323,plain,
( sk_c7 = sk_c6
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f1227,f1300]) ).
fof(f188,plain,
( ! [X6] :
( sP0(multiply(X6,sk_c6))
| sP1(inverse(X6)) )
| ~ spl21_18 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl21_18
<=> ! [X6] :
( sP0(multiply(X6,sk_c6))
| sP1(inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_18])]) ).
fof(f1384,plain,
( ~ spl21_24
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(avatar_split_clause,[],[f1315,f115,f110,f105,f100,f95,f91,f321]) ).
fof(f321,plain,
( spl21_24
<=> sP5(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_24])]) ).
fof(f1315,plain,
( ~ sP5(sk_c7)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f40,f1300]) ).
fof(f40,plain,
~ sP5(sk_c5),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1380,plain,
( ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_13 ),
inference(avatar_contradiction_clause,[],[f1379]) ).
fof(f1379,plain,
( $false
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_13 ),
inference(subsumption_resolution,[],[f1378,f1325]) ).
fof(f1325,plain,
( ~ sP8(sk_c7)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f1229,f1300]) ).
fof(f1229,plain,
( ~ sP8(sk_c5)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f43,f1227]) ).
fof(f43,plain,
~ sP8(sk_c6),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1378,plain,
( sP8(sk_c7)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_13 ),
inference(forward_demodulation,[],[f1377,f1244]) ).
fof(f1377,plain,
( sP8(multiply(sk_c7,sk_c7))
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_13 ),
inference(subsumption_resolution,[],[f1375,f42]) ).
fof(f42,plain,
~ sP7(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1375,plain,
( sP7(sk_c7)
| sP8(multiply(sk_c7,sk_c7))
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_13 ),
inference(superposition,[],[f1361,f1330]) ).
fof(f1361,plain,
( ! [X4] :
( sP7(inverse(X4))
| sP8(multiply(X4,sk_c7)) )
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_13 ),
inference(forward_demodulation,[],[f170,f1244]) ).
fof(f170,plain,
( ! [X4] :
( sP7(inverse(X4))
| sP8(multiply(sk_c7,multiply(X4,sk_c7))) )
| ~ spl21_13 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl21_13
<=> ! [X4] :
( sP7(inverse(X4))
| sP8(multiply(sk_c7,multiply(X4,sk_c7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_13])]) ).
fof(f1345,plain,
( ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_16 ),
inference(avatar_contradiction_clause,[],[f1344]) ).
fof(f1344,plain,
( $false
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_16 ),
inference(subsumption_resolution,[],[f1343,f1314]) ).
fof(f1314,plain,
( ~ sP3(sk_c7)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f38,f1300]) ).
fof(f38,plain,
~ sP3(sk_c5),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1343,plain,
( sP3(sk_c7)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_16 ),
inference(forward_demodulation,[],[f181,f1317]) ).
fof(f1317,plain,
( sk_c7 = sF12
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f102,f1300]) ).
fof(f181,plain,
( sP3(sF12)
| ~ spl21_16 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl21_16
<=> sP3(sF12) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_16])]) ).
fof(f1243,plain,
( ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_23 ),
inference(avatar_contradiction_clause,[],[f1242]) ).
fof(f1242,plain,
( $false
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_23 ),
inference(subsumption_resolution,[],[f1241,f41]) ).
fof(f41,plain,
~ sP6(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1241,plain,
( sP6(sk_c7)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_23 ),
inference(backward_demodulation,[],[f319,f1237]) ).
fof(f1237,plain,
( sk_c7 = multiply(sk_c4,sk_c5)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f1112,f1227]) ).
fof(f319,plain,
( sP6(multiply(sk_c4,sk_c5))
| ~ spl21_23 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f317,plain,
( spl21_23
<=> sP6(multiply(sk_c4,sk_c5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_23])]) ).
fof(f1115,plain,
( ~ spl21_4
| ~ spl21_17 ),
inference(avatar_contradiction_clause,[],[f1114]) ).
fof(f1114,plain,
( $false
| ~ spl21_4
| ~ spl21_17 ),
inference(subsumption_resolution,[],[f1113,f37]) ).
fof(f37,plain,
~ sP2(sk_c6),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1113,plain,
( sP2(sk_c6)
| ~ spl21_4
| ~ spl21_17 ),
inference(forward_demodulation,[],[f185,f107]) ).
fof(f185,plain,
( sP2(sF13)
| ~ spl21_17 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl21_17
<=> sP2(sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_17])]) ).
fof(f899,plain,
( ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_25 ),
inference(avatar_contradiction_clause,[],[f898]) ).
fof(f898,plain,
( $false
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_25 ),
inference(subsumption_resolution,[],[f897,f41]) ).
fof(f897,plain,
( sP6(sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_25 ),
inference(forward_demodulation,[],[f896,f804]) ).
fof(f804,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f800,f455]) ).
fof(f455,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(backward_demodulation,[],[f360,f443]) ).
fof(f443,plain,
( sk_c7 = sk_c6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f441,f361]) ).
fof(f361,plain,
( sk_c6 = multiply(sk_c7,sk_c2)
| ~ spl21_7 ),
inference(backward_demodulation,[],[f58,f122]) ).
fof(f122,plain,
( sk_c6 = sF16
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl21_7
<=> sk_c6 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_7])]) ).
fof(f58,plain,
multiply(sk_c7,sk_c2) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f441,plain,
( sk_c7 = multiply(sk_c7,sk_c2)
| ~ spl21_8
| ~ spl21_9 ),
inference(superposition,[],[f355,f359]) ).
fof(f359,plain,
( sk_c2 = multiply(sk_c1,sk_c7)
| ~ spl21_8 ),
inference(backward_demodulation,[],[f64,f131]) ).
fof(f131,plain,
( sk_c2 = sF17
| ~ spl21_8 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl21_8
<=> sk_c2 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_8])]) ).
fof(f64,plain,
multiply(sk_c1,sk_c7) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f355,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl21_9 ),
inference(backward_demodulation,[],[f218,f140]) ).
fof(f140,plain,
( sk_c7 = sF18
| ~ spl21_9 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl21_9
<=> sk_c7 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).
fof(f218,plain,
! [X0] : multiply(sF18,multiply(sk_c1,X0)) = X0,
inference(forward_demodulation,[],[f211,f1]) ).
fof(f211,plain,
! [X0] : multiply(identity,X0) = multiply(sF18,multiply(sk_c1,X0)),
inference(superposition,[],[f3,f197]) ).
fof(f197,plain,
identity = multiply(sF18,sk_c1),
inference(superposition,[],[f2,f70]) ).
fof(f70,plain,
inverse(sk_c1) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f360,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl21_7 ),
inference(backward_demodulation,[],[f205,f122]) ).
fof(f205,plain,
! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = multiply(sF16,X0),
inference(superposition,[],[f3,f58]) ).
fof(f800,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f355,f791]) ).
fof(f791,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c1,X0)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f726,f781]) ).
fof(f781,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(superposition,[],[f663,f355]) ).
fof(f663,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f353,f652]) ).
fof(f652,plain,
( sk_c5 = sk_c7
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f650,f520]) ).
fof(f520,plain,
( sk_c7 = multiply(sk_c5,sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f259,f443]) ).
fof(f259,plain,
( multiply(sk_c5,sk_c7) = sk_c6
| ~ spl21_1 ),
inference(backward_demodulation,[],[f48,f93]) ).
fof(f650,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl21_10
| ~ spl21_11 ),
inference(superposition,[],[f350,f354]) ).
fof(f354,plain,
( sk_c7 = multiply(sk_c3,sk_c5)
| ~ spl21_10 ),
inference(backward_demodulation,[],[f76,f149]) ).
fof(f149,plain,
( sk_c7 = sF19
| ~ spl21_10 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl21_10
<=> sk_c7 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_10])]) ).
fof(f76,plain,
multiply(sk_c3,sk_c5) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f350,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = X0
| ~ spl21_11 ),
inference(backward_demodulation,[],[f219,f158]) ).
fof(f158,plain,
( sk_c5 = sF20
| ~ spl21_11 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl21_11
<=> sk_c5 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_11])]) ).
fof(f219,plain,
! [X0] : multiply(sF20,multiply(sk_c3,X0)) = X0,
inference(forward_demodulation,[],[f212,f1]) ).
fof(f212,plain,
! [X0] : multiply(identity,X0) = multiply(sF20,multiply(sk_c3,X0)),
inference(superposition,[],[f3,f198]) ).
fof(f198,plain,
identity = multiply(sF20,sk_c3),
inference(superposition,[],[f2,f82]) ).
fof(f82,plain,
inverse(sk_c3) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f353,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c5,X0))
| ~ spl21_10 ),
inference(backward_demodulation,[],[f210,f149]) ).
fof(f210,plain,
! [X0] : multiply(sk_c3,multiply(sk_c5,X0)) = multiply(sF19,X0),
inference(superposition,[],[f3,f76]) ).
fof(f726,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(superposition,[],[f358,f660]) ).
fof(f660,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f350,f652]) ).
fof(f358,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl21_8 ),
inference(backward_demodulation,[],[f209,f131]) ).
fof(f209,plain,
! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sF17,X0),
inference(superposition,[],[f3,f64]) ).
fof(f896,plain,
( sP6(multiply(sk_c7,sk_c7))
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_25 ),
inference(forward_demodulation,[],[f895,f830]) ).
fof(f830,plain,
( sk_c7 = sk_c1
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f809,f824]) ).
fof(f824,plain,
( identity = sk_c7
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f738,f807]) ).
fof(f807,plain,
( ! [X0] : multiply(sF12,X0) = X0
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f745,f804]) ).
fof(f745,plain,
( ! [X0] : multiply(sF12,multiply(sk_c7,X0)) = X0
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f744,f1]) ).
fof(f744,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF12,multiply(sk_c7,X0))
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(superposition,[],[f3,f738]) ).
fof(f738,plain,
( identity = multiply(sF12,sk_c7)
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(superposition,[],[f2,f639]) ).
fof(f639,plain,
( sF12 = inverse(sk_c7)
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f50,f443]) ).
fof(f809,plain,
( identity = sk_c1
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f356,f804]) ).
fof(f356,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl21_9 ),
inference(backward_demodulation,[],[f197,f140]) ).
fof(f895,plain,
( sP6(multiply(sk_c1,sk_c7))
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_25 ),
inference(forward_demodulation,[],[f328,f652]) ).
fof(f328,plain,
( sP6(multiply(sk_c1,sk_c5))
| ~ spl21_25 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f326,plain,
( spl21_25
<=> sP6(multiply(sk_c1,sk_c5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_25])]) ).
fof(f885,plain,
( ~ spl21_9
| spl21_24
| ~ spl21_26 ),
inference(avatar_contradiction_clause,[],[f884]) ).
fof(f884,plain,
( $false
| ~ spl21_9
| spl21_24
| ~ spl21_26 ),
inference(subsumption_resolution,[],[f883,f322]) ).
fof(f322,plain,
( ~ sP5(sk_c7)
| spl21_24 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f883,plain,
( sP5(sk_c7)
| ~ spl21_9
| ~ spl21_26 ),
inference(forward_demodulation,[],[f332,f140]) ).
fof(f332,plain,
( sP5(sF18)
| ~ spl21_26 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl21_26
<=> sP5(sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_26])]) ).
fof(f878,plain,
( ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_20 ),
inference(avatar_contradiction_clause,[],[f877]) ).
fof(f877,plain,
( $false
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_20 ),
inference(subsumption_resolution,[],[f876,f445]) ).
fof(f445,plain,
( ~ sP8(sk_c7)
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(backward_demodulation,[],[f43,f443]) ).
fof(f876,plain,
( sP8(sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_20 ),
inference(forward_demodulation,[],[f875,f816]) ).
fof(f816,plain,
( sk_c7 = sF17
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f131,f814]) ).
fof(f814,plain,
( sk_c7 = sk_c2
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f733,f811]) ).
fof(f811,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f805,f804]) ).
fof(f805,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f455,f804]) ).
fof(f733,plain,
( sk_c2 = multiply(sk_c2,sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f727,f359]) ).
fof(f727,plain,
( multiply(sk_c1,sk_c7) = multiply(sk_c2,sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(superposition,[],[f358,f678]) ).
fof(f678,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f621,f670]) ).
fof(f670,plain,
( sk_c7 = sF10
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f665,f621]) ).
fof(f665,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f520,f652]) ).
fof(f621,plain,
( sF10 = multiply(sk_c7,sk_c7)
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f47,f443]) ).
fof(f875,plain,
( sP8(sF17)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_20 ),
inference(forward_demodulation,[],[f293,f804]) ).
fof(f293,plain,
( sP8(multiply(sk_c7,sF17))
| ~ spl21_20 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl21_20
<=> sP8(multiply(sk_c7,sF17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_20])]) ).
fof(f866,plain,
( ~ spl21_9
| ~ spl21_19 ),
inference(avatar_contradiction_clause,[],[f865]) ).
fof(f865,plain,
( $false
| ~ spl21_9
| ~ spl21_19 ),
inference(subsumption_resolution,[],[f864,f42]) ).
fof(f864,plain,
( sP7(sk_c7)
| ~ spl21_9
| ~ spl21_19 ),
inference(forward_demodulation,[],[f289,f140]) ).
fof(f289,plain,
( sP7(sF18)
| ~ spl21_19 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl21_19
<=> sP7(sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_19])]) ).
fof(f857,plain,
( ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_16 ),
inference(avatar_contradiction_clause,[],[f856]) ).
fof(f856,plain,
( $false
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_16 ),
inference(subsumption_resolution,[],[f854,f653]) ).
fof(f653,plain,
( ~ sP3(sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f38,f652]) ).
fof(f854,plain,
( sP3(sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_16 ),
inference(backward_demodulation,[],[f181,f835]) ).
fof(f835,plain,
( sk_c7 = sF12
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f831,f639]) ).
fof(f831,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f357,f830]) ).
fof(f357,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl21_9 ),
inference(backward_demodulation,[],[f70,f140]) ).
fof(f837,plain,
( ~ spl21_1
| spl21_3
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f836,plain,
( $false
| ~ spl21_1
| spl21_3
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(subsumption_resolution,[],[f835,f658]) ).
fof(f658,plain,
( sk_c7 != sF12
| ~ spl21_1
| spl21_3
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f101,f652]) ).
fof(f101,plain,
( sk_c5 != sF12
| spl21_3 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f713,plain,
( ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_18 ),
inference(avatar_contradiction_clause,[],[f712]) ).
fof(f712,plain,
( $false
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_18 ),
inference(subsumption_resolution,[],[f711,f35]) ).
fof(f711,plain,
( sP0(sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_18 ),
inference(forward_demodulation,[],[f710,f664]) ).
fof(f664,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f354,f652]) ).
fof(f710,plain,
( sP0(multiply(sk_c3,sk_c7))
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_18 ),
inference(subsumption_resolution,[],[f695,f36]) ).
fof(f695,plain,
( sP1(sk_c7)
| sP0(multiply(sk_c3,sk_c7))
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_18 ),
inference(superposition,[],[f685,f662]) ).
fof(f662,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f352,f652]) ).
fof(f352,plain,
( sk_c5 = inverse(sk_c3)
| ~ spl21_11 ),
inference(backward_demodulation,[],[f82,f158]) ).
fof(f685,plain,
( ! [X6] :
( sP1(inverse(X6))
| sP0(multiply(X6,sk_c7)) )
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_18 ),
inference(forward_demodulation,[],[f188,f443]) ).
fof(f683,plain,
( ~ spl21_1
| spl21_2
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f682,plain,
( $false
| ~ spl21_1
| spl21_2
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(subsumption_resolution,[],[f657,f670]) ).
fof(f657,plain,
( sk_c7 != sF10
| ~ spl21_1
| spl21_2
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f96,f652]) ).
fof(f96,plain,
( sk_c5 != sF10
| spl21_2 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f672,plain,
( ~ spl21_1
| spl21_4
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f671,plain,
( $false
| ~ spl21_1
| spl21_4
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(subsumption_resolution,[],[f670,f669]) ).
fof(f669,plain,
( sk_c7 != sF10
| ~ spl21_1
| spl21_4
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f630,f668]) ).
fof(f668,plain,
( sF10 = sF13
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f656,f621]) ).
fof(f656,plain,
( sF13 = multiply(sk_c7,sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f52,f652]) ).
fof(f630,plain,
( sk_c7 != sF13
| spl21_4
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f106,f443]) ).
fof(f106,plain,
( sk_c6 != sF13
| spl21_4 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f667,plain,
( ~ spl21_24
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(avatar_split_clause,[],[f655,f156,f147,f138,f129,f120,f91,f321]) ).
fof(f655,plain,
( ~ sP5(sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f40,f652]) ).
fof(f600,plain,
( ~ spl21_1
| ~ spl21_3
| ~ spl21_5
| spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(avatar_contradiction_clause,[],[f599]) ).
fof(f599,plain,
( $false
| ~ spl21_1
| ~ spl21_3
| ~ spl21_5
| spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(subsumption_resolution,[],[f598,f116]) ).
fof(f116,plain,
( sk_c7 != sF15
| spl21_6 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f598,plain,
( sk_c7 = sF15
| ~ spl21_1
| ~ spl21_3
| ~ spl21_5
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(backward_demodulation,[],[f592,f552]) ).
fof(f552,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl21_1
| ~ spl21_3
| ~ spl21_5
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f217,f523]) ).
fof(f523,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl21_1
| ~ spl21_3
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f522,f521]) ).
fof(f521,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
| ~ spl21_3
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f216,f443]) ).
fof(f216,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl21_3 ),
inference(forward_demodulation,[],[f203,f1]) ).
fof(f203,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl21_3 ),
inference(superposition,[],[f3,f195]) ).
fof(f195,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl21_3 ),
inference(superposition,[],[f2,f193]) ).
fof(f193,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl21_3 ),
inference(backward_demodulation,[],[f50,f102]) ).
fof(f522,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f257,f443]) ).
fof(f217,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl21_5 ),
inference(forward_demodulation,[],[f206,f1]) ).
fof(f206,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl21_5 ),
inference(superposition,[],[f3,f196]) ).
fof(f196,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl21_5 ),
inference(superposition,[],[f2,f191]) ).
fof(f191,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl21_5 ),
inference(backward_demodulation,[],[f54,f112]) ).
fof(f592,plain,
( sF15 = multiply(sk_c4,sk_c7)
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f56,f443]) ).
fof(f346,plain,
( ~ spl21_2
| ~ spl21_15 ),
inference(avatar_contradiction_clause,[],[f345]) ).
fof(f345,plain,
( $false
| ~ spl21_2
| ~ spl21_15 ),
inference(subsumption_resolution,[],[f344,f39]) ).
fof(f39,plain,
~ sP4(sk_c5),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f344,plain,
( sP4(sk_c5)
| ~ spl21_2
| ~ spl21_15 ),
inference(forward_demodulation,[],[f177,f97]) ).
fof(f177,plain,
( sP4(sF10)
| ~ spl21_15 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl21_15
<=> sP4(sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_15])]) ).
fof(f333,plain,
( spl21_25
| spl21_26
| ~ spl21_14 ),
inference(avatar_split_clause,[],[f312,f172,f330,f326]) ).
fof(f172,plain,
( spl21_14
<=> ! [X5] :
( sP5(inverse(X5))
| sP6(multiply(X5,sk_c5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_14])]) ).
fof(f312,plain,
( sP5(sF18)
| sP6(multiply(sk_c1,sk_c5))
| ~ spl21_14 ),
inference(superposition,[],[f173,f70]) ).
fof(f173,plain,
( ! [X5] :
( sP5(inverse(X5))
| sP6(multiply(X5,sk_c5)) )
| ~ spl21_14 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f324,plain,
( spl21_23
| spl21_24
| ~ spl21_5
| ~ spl21_14 ),
inference(avatar_split_clause,[],[f311,f172,f110,f321,f317]) ).
fof(f311,plain,
( sP5(sk_c7)
| sP6(multiply(sk_c4,sk_c5))
| ~ spl21_5
| ~ spl21_14 ),
inference(superposition,[],[f173,f191]) ).
fof(f294,plain,
( spl21_19
| spl21_20
| ~ spl21_13 ),
inference(avatar_split_clause,[],[f285,f169,f291,f287]) ).
fof(f285,plain,
( sP8(multiply(sk_c7,sF17))
| sP7(sF18)
| ~ spl21_13 ),
inference(forward_demodulation,[],[f278,f64]) ).
fof(f278,plain,
( sP7(sF18)
| sP8(multiply(sk_c7,multiply(sk_c1,sk_c7)))
| ~ spl21_13 ),
inference(superposition,[],[f170,f70]) ).
fof(f264,plain,
( ~ spl21_12
| ~ spl21_1 ),
inference(avatar_split_clause,[],[f258,f91,f165]) ).
fof(f165,plain,
( spl21_12
<=> sP9(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).
fof(f258,plain,
( ~ sP9(sk_c6)
| ~ spl21_1 ),
inference(backward_demodulation,[],[f88,f93]) ).
fof(f88,plain,
~ sP9(sF11),
inference(definition_folding,[],[f44,f48]) ).
fof(f44,plain,
~ sP9(multiply(sk_c5,sk_c7)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f253,plain,
( spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4 ),
inference(avatar_split_clause,[],[f252,f105,f100,f95,f91]) ).
fof(f252,plain,
( sk_c6 = sF11
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4 ),
inference(forward_demodulation,[],[f250,f48]) ).
fof(f250,plain,
( multiply(sk_c5,sk_c7) = sk_c6
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4 ),
inference(superposition,[],[f216,f243]) ).
fof(f243,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4 ),
inference(backward_demodulation,[],[f221,f242]) ).
fof(f242,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4 ),
inference(forward_demodulation,[],[f241,f221]) ).
fof(f241,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4 ),
inference(forward_demodulation,[],[f234,f227]) ).
fof(f227,plain,
( sk_c7 = multiply(sk_c5,sk_c5)
| ~ spl21_2
| ~ spl21_3 ),
inference(superposition,[],[f216,f194]) ).
fof(f194,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl21_2 ),
inference(backward_demodulation,[],[f47,f97]) ).
fof(f234,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c5)
| ~ spl21_2
| ~ spl21_4 ),
inference(superposition,[],[f207,f192]) ).
fof(f192,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl21_4 ),
inference(backward_demodulation,[],[f52,f107]) ).
fof(f207,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl21_2 ),
inference(superposition,[],[f3,f194]) ).
fof(f221,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c7,identity)
| ~ spl21_3
| ~ spl21_4 ),
inference(superposition,[],[f204,f195]) ).
fof(f204,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl21_4 ),
inference(superposition,[],[f3,f192]) ).
fof(f189,plain,
( spl21_12
| spl21_13
| spl21_14
| spl21_15
| spl21_16
| spl21_17
| spl21_18 ),
inference(avatar_split_clause,[],[f89,f187,f183,f179,f175,f172,f169,f165]) ).
fof(f89,plain,
! [X6,X4,X5] :
( sP0(multiply(X6,sk_c6))
| sP1(inverse(X6))
| sP2(sF13)
| sP3(sF12)
| sP4(sF10)
| sP5(inverse(X5))
| sP6(multiply(X5,sk_c5))
| sP7(inverse(X4))
| sP8(multiply(sk_c7,multiply(X4,sk_c7)))
| sP9(sk_c6) ),
inference(definition_folding,[],[f46,f47,f50,f52]) ).
fof(f46,plain,
! [X6,X4,X5] :
( sP0(multiply(X6,sk_c6))
| sP1(inverse(X6))
| sP2(multiply(sk_c7,sk_c5))
| sP3(inverse(sk_c6))
| sP4(multiply(sk_c6,sk_c7))
| sP5(inverse(X5))
| sP6(multiply(X5,sk_c5))
| sP7(inverse(X4))
| sP8(multiply(sk_c7,multiply(X4,sk_c7)))
| sP9(sk_c6) ),
inference(equality_resolution,[],[f45]) ).
fof(f45,plain,
! [X3,X6,X4,X5] :
( sP0(multiply(X6,sk_c6))
| sP1(inverse(X6))
| sP2(multiply(sk_c7,sk_c5))
| sP3(inverse(sk_c6))
| sP4(multiply(sk_c6,sk_c7))
| sP5(inverse(X5))
| sP6(multiply(X5,sk_c5))
| sP7(inverse(X4))
| multiply(X4,sk_c7) != X3
| sP8(multiply(sk_c7,X3))
| sP9(sk_c6) ),
inference(inequality_splitting,[],[f34,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35]) ).
fof(f34,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != multiply(X6,sk_c6)
| sk_c7 != inverse(X6)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c5 != inverse(sk_c6)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != inverse(X5)
| sk_c7 != multiply(X5,sk_c5)
| sk_c7 != inverse(X4)
| multiply(X4,sk_c7) != X3
| sk_c6 != multiply(sk_c7,X3)
| multiply(sk_c5,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_31) ).
fof(f162,plain,
( spl21_11
| spl21_5 ),
inference(avatar_split_clause,[],[f86,f110,f156]) ).
fof(f86,plain,
( sk_c7 = sF14
| sk_c5 = sF20 ),
inference(definition_folding,[],[f32,f82,f54]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_29) ).
fof(f161,plain,
( spl21_11
| spl21_4 ),
inference(avatar_split_clause,[],[f85,f105,f156]) ).
fof(f85,plain,
( sk_c6 = sF13
| sk_c5 = sF20 ),
inference(definition_folding,[],[f31,f82,f52]) ).
fof(f31,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_28) ).
fof(f160,plain,
( spl21_11
| spl21_3 ),
inference(avatar_split_clause,[],[f84,f100,f156]) ).
fof(f84,plain,
( sk_c5 = sF12
| sk_c5 = sF20 ),
inference(definition_folding,[],[f30,f82,f50]) ).
fof(f30,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_27) ).
fof(f159,plain,
( spl21_11
| spl21_2 ),
inference(avatar_split_clause,[],[f83,f95,f156]) ).
fof(f83,plain,
( sk_c5 = sF10
| sk_c5 = sF20 ),
inference(definition_folding,[],[f29,f82,f47]) ).
fof(f29,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_26) ).
fof(f153,plain,
( spl21_10
| spl21_5 ),
inference(avatar_split_clause,[],[f80,f110,f147]) ).
fof(f80,plain,
( sk_c7 = sF14
| sk_c7 = sF19 ),
inference(definition_folding,[],[f27,f76,f54]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c7 = multiply(sk_c3,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_24) ).
fof(f152,plain,
( spl21_10
| spl21_4 ),
inference(avatar_split_clause,[],[f79,f105,f147]) ).
fof(f79,plain,
( sk_c6 = sF13
| sk_c7 = sF19 ),
inference(definition_folding,[],[f26,f76,f52]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = multiply(sk_c3,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_23) ).
fof(f151,plain,
( spl21_10
| spl21_3 ),
inference(avatar_split_clause,[],[f78,f100,f147]) ).
fof(f78,plain,
( sk_c5 = sF12
| sk_c7 = sF19 ),
inference(definition_folding,[],[f25,f76,f50]) ).
fof(f25,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c7 = multiply(sk_c3,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_22) ).
fof(f150,plain,
( spl21_10
| spl21_2 ),
inference(avatar_split_clause,[],[f77,f95,f147]) ).
fof(f77,plain,
( sk_c5 = sF10
| sk_c7 = sF19 ),
inference(definition_folding,[],[f24,f76,f47]) ).
fof(f24,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_21) ).
fof(f145,plain,
( spl21_9
| spl21_6 ),
inference(avatar_split_clause,[],[f75,f115,f138]) ).
fof(f75,plain,
( sk_c7 = sF15
| sk_c7 = sF18 ),
inference(definition_folding,[],[f23,f70,f56]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_20) ).
fof(f144,plain,
( spl21_9
| spl21_5 ),
inference(avatar_split_clause,[],[f74,f110,f138]) ).
fof(f74,plain,
( sk_c7 = sF14
| sk_c7 = sF18 ),
inference(definition_folding,[],[f22,f70,f54]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_19) ).
fof(f143,plain,
( spl21_9
| spl21_4 ),
inference(avatar_split_clause,[],[f73,f105,f138]) ).
fof(f73,plain,
( sk_c6 = sF13
| sk_c7 = sF18 ),
inference(definition_folding,[],[f21,f70,f52]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_18) ).
fof(f142,plain,
( spl21_9
| spl21_3 ),
inference(avatar_split_clause,[],[f72,f100,f138]) ).
fof(f72,plain,
( sk_c5 = sF12
| sk_c7 = sF18 ),
inference(definition_folding,[],[f20,f70,f50]) ).
fof(f20,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_17) ).
fof(f141,plain,
( spl21_9
| spl21_2 ),
inference(avatar_split_clause,[],[f71,f95,f138]) ).
fof(f71,plain,
( sk_c5 = sF10
| sk_c7 = sF18 ),
inference(definition_folding,[],[f19,f70,f47]) ).
fof(f19,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_16) ).
fof(f136,plain,
( spl21_8
| spl21_6 ),
inference(avatar_split_clause,[],[f69,f115,f129]) ).
fof(f69,plain,
( sk_c7 = sF15
| sk_c2 = sF17 ),
inference(definition_folding,[],[f18,f64,f56]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c2 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_15) ).
fof(f135,plain,
( spl21_8
| spl21_5 ),
inference(avatar_split_clause,[],[f68,f110,f129]) ).
fof(f68,plain,
( sk_c7 = sF14
| sk_c2 = sF17 ),
inference(definition_folding,[],[f17,f64,f54]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c2 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_14) ).
fof(f134,plain,
( spl21_8
| spl21_4 ),
inference(avatar_split_clause,[],[f67,f105,f129]) ).
fof(f67,plain,
( sk_c6 = sF13
| sk_c2 = sF17 ),
inference(definition_folding,[],[f16,f64,f52]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c2 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_13) ).
fof(f133,plain,
( spl21_8
| spl21_3 ),
inference(avatar_split_clause,[],[f66,f100,f129]) ).
fof(f66,plain,
( sk_c5 = sF12
| sk_c2 = sF17 ),
inference(definition_folding,[],[f15,f64,f50]) ).
fof(f15,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c2 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_12) ).
fof(f132,plain,
( spl21_8
| spl21_2 ),
inference(avatar_split_clause,[],[f65,f95,f129]) ).
fof(f65,plain,
( sk_c5 = sF10
| sk_c2 = sF17 ),
inference(definition_folding,[],[f14,f64,f47]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c2 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_11) ).
fof(f127,plain,
( spl21_7
| spl21_6 ),
inference(avatar_split_clause,[],[f63,f115,f120]) ).
fof(f63,plain,
( sk_c7 = sF15
| sk_c6 = sF16 ),
inference(definition_folding,[],[f13,f58,f56]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_10) ).
fof(f126,plain,
( spl21_7
| spl21_5 ),
inference(avatar_split_clause,[],[f62,f110,f120]) ).
fof(f62,plain,
( sk_c7 = sF14
| sk_c6 = sF16 ),
inference(definition_folding,[],[f12,f58,f54]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c6 = multiply(sk_c7,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_9) ).
fof(f125,plain,
( spl21_7
| spl21_4 ),
inference(avatar_split_clause,[],[f61,f105,f120]) ).
fof(f61,plain,
( sk_c6 = sF13
| sk_c6 = sF16 ),
inference(definition_folding,[],[f11,f58,f52]) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c7,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_8) ).
fof(f124,plain,
( spl21_7
| spl21_3 ),
inference(avatar_split_clause,[],[f60,f100,f120]) ).
fof(f60,plain,
( sk_c5 = sF12
| sk_c6 = sF16 ),
inference(definition_folding,[],[f10,f58,f50]) ).
fof(f10,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c6 = multiply(sk_c7,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_7) ).
fof(f123,plain,
( spl21_7
| spl21_2 ),
inference(avatar_split_clause,[],[f59,f95,f120]) ).
fof(f59,plain,
( sk_c5 = sF10
| sk_c6 = sF16 ),
inference(definition_folding,[],[f9,f58,f47]) ).
fof(f9,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_6) ).
fof(f108,plain,
( spl21_1
| spl21_4 ),
inference(avatar_split_clause,[],[f53,f105,f91]) ).
fof(f53,plain,
( sk_c6 = sF13
| sk_c6 = sF11 ),
inference(definition_folding,[],[f6,f48,f52]) ).
fof(f6,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_3) ).
fof(f103,plain,
( spl21_1
| spl21_3 ),
inference(avatar_split_clause,[],[f51,f100,f91]) ).
fof(f51,plain,
( sk_c5 = sF12
| sk_c6 = sF11 ),
inference(definition_folding,[],[f5,f48,f50]) ).
fof(f5,axiom,
( sk_c5 = inverse(sk_c6)
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_2) ).
fof(f98,plain,
( spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f49,f95,f91]) ).
fof(f49,plain,
( sk_c5 = sF10
| sk_c6 = sF11 ),
inference(definition_folding,[],[f4,f48,f47]) ).
fof(f4,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP368-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.33 % Computer : n022.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Apr 30 18:22:43 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.14/0.33 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.33 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.mnQ7G76BYX/Vampire---4.8_12049
% 0.61/0.77 % (12260)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.77 % (12262)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.77 % (12261)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.61/0.77 % (12266)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.61/0.77 % (12264)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.77 % (12263)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.77 % (12265)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.77 % (12267)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.77 % (12260)Refutation not found, incomplete strategy% (12260)------------------------------
% 0.61/0.77 % (12260)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (12263)Refutation not found, incomplete strategy% (12263)------------------------------
% 0.61/0.77 % (12263)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (12263)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (12263)Memory used [KB]: 980
% 0.61/0.77 % (12267)Refutation not found, incomplete strategy% (12267)------------------------------
% 0.61/0.77 % (12267)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (12263)Time elapsed: 0.002 s
% 0.61/0.77 % (12267)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (12263)Instructions burned: 4 (million)
% 0.61/0.77 % (12263)------------------------------
% 0.61/0.77 % (12263)------------------------------
% 0.61/0.77 % (12267)Memory used [KB]: 983
% 0.61/0.77 % (12267)Time elapsed: 0.002 s
% 0.61/0.77 % (12267)Instructions burned: 4 (million)
% 0.61/0.77 % (12267)------------------------------
% 0.61/0.77 % (12267)------------------------------
% 0.61/0.77 % (12264)Refutation not found, incomplete strategy% (12264)------------------------------
% 0.61/0.77 % (12264)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (12264)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (12264)Memory used [KB]: 997
% 0.61/0.77 % (12264)Time elapsed: 0.002 s
% 0.61/0.77 % (12264)Instructions burned: 4 (million)
% 0.61/0.77 % (12264)------------------------------
% 0.61/0.77 % (12264)------------------------------
% 0.61/0.77 % (12260)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (12260)Memory used [KB]: 998
% 0.61/0.77 % (12260)Time elapsed: 0.002 s
% 0.61/0.77 % (12260)Instructions burned: 4 (million)
% 0.61/0.77 % (12260)------------------------------
% 0.61/0.77 % (12260)------------------------------
% 0.61/0.77 % (12268)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.61/0.77 % (12269)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.61/0.77 % (12270)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.61/0.77 % (12271)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.61/0.77 % (12269)Refutation not found, incomplete strategy% (12269)------------------------------
% 0.61/0.77 % (12269)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (12269)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (12269)Memory used [KB]: 991
% 0.61/0.77 % (12269)Time elapsed: 0.002 s
% 0.61/0.77 % (12269)Instructions burned: 5 (million)
% 0.61/0.77 % (12269)------------------------------
% 0.61/0.77 % (12269)------------------------------
% 0.61/0.78 % (12272)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.61/0.78 % (12265)Instruction limit reached!
% 0.61/0.78 % (12265)------------------------------
% 0.61/0.78 % (12265)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (12265)Termination reason: Unknown
% 0.61/0.78 % (12265)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (12265)Memory used [KB]: 1533
% 0.61/0.78 % (12265)Time elapsed: 0.014 s
% 0.61/0.78 % (12265)Instructions burned: 48 (million)
% 0.61/0.78 % (12265)------------------------------
% 0.61/0.78 % (12265)------------------------------
% 0.61/0.78 % (12261)Instruction limit reached!
% 0.61/0.78 % (12261)------------------------------
% 0.61/0.78 % (12261)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (12261)Termination reason: Unknown
% 0.61/0.78 % (12261)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (12261)Memory used [KB]: 1616
% 0.61/0.78 % (12261)Time elapsed: 0.016 s
% 0.61/0.78 % (12261)Instructions burned: 51 (million)
% 0.61/0.78 % (12261)------------------------------
% 0.61/0.78 % (12261)------------------------------
% 0.61/0.78 % (12275)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.61/0.78 % (12275)Refutation not found, incomplete strategy% (12275)------------------------------
% 0.61/0.78 % (12275)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (12275)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (12275)Memory used [KB]: 1004
% 0.61/0.78 % (12275)Time elapsed: 0.002 s
% 0.61/0.78 % (12275)Instructions burned: 4 (million)
% 0.61/0.78 % (12275)------------------------------
% 0.61/0.78 % (12275)------------------------------
% 0.61/0.78 % (12277)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.61/0.79 % (12271)Instruction limit reached!
% 0.61/0.79 % (12271)------------------------------
% 0.61/0.79 % (12271)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (12271)Termination reason: Unknown
% 0.61/0.79 % (12271)Termination phase: Saturation
% 0.61/0.79
% 0.61/0.79 % (12271)Memory used [KB]: 1628
% 0.61/0.79 % (12271)Time elapsed: 0.016 s
% 0.61/0.79 % (12271)Instructions burned: 54 (million)
% 0.61/0.79 % (12271)------------------------------
% 0.61/0.79 % (12271)------------------------------
% 0.61/0.79 % (12278)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.61/0.79 % (12278)Refutation not found, incomplete strategy% (12278)------------------------------
% 0.61/0.79 % (12278)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (12278)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (12278)Memory used [KB]: 984
% 0.61/0.79 % (12278)Time elapsed: 0.002 s
% 0.61/0.79 % (12278)Instructions burned: 4 (million)
% 0.61/0.79 % (12278)------------------------------
% 0.61/0.79 % (12278)------------------------------
% 0.61/0.79 % (12266)Instruction limit reached!
% 0.61/0.79 % (12266)------------------------------
% 0.61/0.79 % (12266)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (12266)Termination reason: Unknown
% 0.61/0.79 % (12266)Termination phase: Saturation
% 0.61/0.79
% 0.61/0.79 % (12266)Memory used [KB]: 1871
% 0.61/0.79 % (12266)Time elapsed: 0.022 s
% 0.61/0.79 % (12266)Instructions burned: 83 (million)
% 0.61/0.79 % (12266)------------------------------
% 0.61/0.79 % (12266)------------------------------
% 0.61/0.79 % (12268)Instruction limit reached!
% 0.61/0.79 % (12268)------------------------------
% 0.61/0.79 % (12268)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (12268)Termination reason: Unknown
% 0.61/0.79 % (12268)Termination phase: Saturation
% 0.61/0.79
% 0.61/0.79 % (12268)Memory used [KB]: 1720
% 0.61/0.79 % (12268)Time elapsed: 0.018 s
% 0.61/0.79 % (12268)Instructions burned: 57 (million)
% 0.61/0.79 % (12268)------------------------------
% 0.61/0.79 % (12268)------------------------------
% 0.61/0.79 % (12262)Instruction limit reached!
% 0.61/0.79 % (12262)------------------------------
% 0.61/0.79 % (12262)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (12262)Termination reason: Unknown
% 0.61/0.79 % (12262)Termination phase: Saturation
% 0.61/0.79
% 0.61/0.79 % (12262)Memory used [KB]: 1833
% 0.61/0.79 % (12262)Time elapsed: 0.023 s
% 0.61/0.79 % (12262)Instructions burned: 79 (million)
% 0.61/0.79 % (12262)------------------------------
% 0.61/0.79 % (12262)------------------------------
% 0.61/0.79 % (12280)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.61/0.79 % (12280)Refutation not found, incomplete strategy% (12280)------------------------------
% 0.61/0.79 % (12280)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (12280)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (12280)Memory used [KB]: 999
% 0.61/0.79 % (12280)Time elapsed: 0.002 s
% 0.61/0.79 % (12280)Instructions burned: 4 (million)
% 0.61/0.79 % (12280)------------------------------
% 0.61/0.79 % (12280)------------------------------
% 0.61/0.79 % (12281)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.61/0.79 % (12283)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.61/0.79 % (12284)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.61/0.79 % (12283)Refutation not found, incomplete strategy% (12283)------------------------------
% 0.61/0.79 % (12283)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (12283)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (12283)Memory used [KB]: 984
% 0.61/0.79 % (12283)Time elapsed: 0.001 s
% 0.61/0.79 % (12283)Instructions burned: 3 (million)
% 0.61/0.79 % (12283)------------------------------
% 0.61/0.79 % (12283)------------------------------
% 0.61/0.79 % (12285)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.61/0.79 % (12286)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.61/0.79 % (12288)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.61/0.79 % (12286)Refutation not found, incomplete strategy% (12286)------------------------------
% 0.61/0.79 % (12286)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (12286)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (12286)Memory used [KB]: 1001
% 0.61/0.79 % (12286)Time elapsed: 0.002 s
% 0.61/0.79 % (12286)Instructions burned: 4 (million)
% 0.61/0.79 % (12286)------------------------------
% 0.61/0.79 % (12286)------------------------------
% 0.61/0.80 % (12290)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.61/0.80 % (12290)Refutation not found, incomplete strategy% (12290)------------------------------
% 0.61/0.80 % (12290)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (12290)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (12290)Memory used [KB]: 986
% 0.61/0.80 % (12290)Time elapsed: 0.002 s
% 0.61/0.80 % (12290)Instructions burned: 3 (million)
% 0.61/0.80 % (12290)------------------------------
% 0.61/0.80 % (12290)------------------------------
% 0.61/0.80 % (12293)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 0.61/0.80 % (12284)Instruction limit reached!
% 0.61/0.80 % (12284)------------------------------
% 0.61/0.80 % (12284)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (12284)Termination reason: Unknown
% 0.61/0.80 % (12284)Termination phase: Saturation
% 0.61/0.80
% 0.61/0.80 % (12284)Memory used [KB]: 1369
% 0.61/0.80 % (12284)Time elapsed: 0.011 s
% 0.61/0.80 % (12284)Instructions burned: 34 (million)
% 0.61/0.80 % (12284)------------------------------
% 0.61/0.80 % (12284)------------------------------
% 0.61/0.80 % (12295)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.61/0.81 % (12288)Instruction limit reached!
% 0.61/0.81 % (12288)------------------------------
% 0.61/0.81 % (12288)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (12288)Termination reason: Unknown
% 0.61/0.81 % (12288)Termination phase: Saturation
% 0.61/0.81
% 0.61/0.81 % (12288)Memory used [KB]: 1178
% 0.61/0.81 % (12288)Time elapsed: 0.014 s
% 0.61/0.81 % (12288)Instructions burned: 53 (million)
% 0.61/0.81 % (12288)------------------------------
% 0.61/0.81 % (12288)------------------------------
% 0.61/0.81 % (12299)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.61/0.82 % (12295)Instruction limit reached!
% 0.61/0.82 % (12295)------------------------------
% 0.61/0.82 % (12295)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (12295)Termination reason: Unknown
% 0.61/0.82 % (12295)Termination phase: Saturation
% 0.61/0.82
% 0.61/0.82 % (12295)Memory used [KB]: 1168
% 0.61/0.82 % (12295)Time elapsed: 0.014 s
% 0.61/0.82 % (12295)Instructions burned: 36 (million)
% 0.61/0.82 % (12295)------------------------------
% 0.61/0.82 % (12295)------------------------------
% 0.61/0.82 % (12304)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.61/0.83 % (12293)Instruction limit reached!
% 0.61/0.83 % (12293)------------------------------
% 0.61/0.83 % (12293)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (12293)Termination reason: Unknown
% 0.61/0.83 % (12293)Termination phase: Saturation
% 0.61/0.83
% 0.61/0.83 % (12293)Memory used [KB]: 2131
% 0.61/0.83 % (12293)Time elapsed: 0.029 s
% 0.61/0.83 % (12293)Instructions burned: 102 (million)
% 0.61/0.83 % (12293)------------------------------
% 0.61/0.83 % (12293)------------------------------
% 0.61/0.83 % (12299)Instruction limit reached!
% 0.61/0.83 % (12299)------------------------------
% 0.61/0.83 % (12299)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (12299)Termination reason: Unknown
% 0.61/0.83 % (12299)Termination phase: Saturation
% 0.61/0.83
% 0.61/0.83 % (12299)Memory used [KB]: 1472
% 0.61/0.83 % (12299)Time elapsed: 0.022 s
% 0.61/0.83 % (12299)Instructions burned: 89 (million)
% 0.61/0.83 % (12299)------------------------------
% 0.61/0.83 % (12299)------------------------------
% 0.61/0.83 % (12310)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.61/0.83 % (12310)Refutation not found, incomplete strategy% (12310)------------------------------
% 0.61/0.83 % (12310)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (12310)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83
% 0.61/0.83 % (12310)Memory used [KB]: 978
% 0.61/0.83 % (12310)Time elapsed: 0.002 s
% 0.61/0.83 % (12310)Instructions burned: 4 (million)
% 0.61/0.83 % (12310)------------------------------
% 0.61/0.83 % (12310)------------------------------
% 0.61/0.83 % (12281)Instruction limit reached!
% 0.61/0.83 % (12281)------------------------------
% 0.61/0.83 % (12281)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (12281)Termination reason: Unknown
% 0.61/0.83 % (12281)Termination phase: Saturation
% 0.61/0.83
% 0.61/0.83 % (12281)Memory used [KB]: 2063
% 0.61/0.83 % (12281)Time elapsed: 0.043 s
% 0.61/0.83 % (12281)Instructions burned: 93 (million)
% 0.61/0.83 % (12281)------------------------------
% 0.61/0.83 % (12281)------------------------------
% 0.61/0.83 % (12312)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.61/0.83 % (12312)Refutation not found, incomplete strategy% (12312)------------------------------
% 0.61/0.83 % (12312)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (12312)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83
% 0.61/0.83 % (12312)Memory used [KB]: 994
% 0.61/0.83 % (12312)Time elapsed: 0.002 s
% 0.61/0.83 % (12312)Instructions burned: 4 (million)
% 0.61/0.83 % (12312)------------------------------
% 0.61/0.83 % (12312)------------------------------
% 0.61/0.84 % (12315)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.61/0.84 % (12316)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.61/0.84 % (12314)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.92/0.85 % (12270)Instruction limit reached!
% 0.92/0.85 % (12270)------------------------------
% 0.92/0.85 % (12270)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.85 % (12270)Termination reason: Unknown
% 0.92/0.85 % (12270)Termination phase: Saturation
% 0.92/0.85
% 0.92/0.85 % (12270)Memory used [KB]: 3343
% 0.92/0.85 % (12270)Time elapsed: 0.076 s
% 0.92/0.85 % (12270)Instructions burned: 209 (million)
% 0.92/0.85 % (12270)------------------------------
% 0.92/0.85 % (12270)------------------------------
% 0.92/0.85 % (12323)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2994ds/80Mi)
% 0.92/0.85 % (12315)First to succeed.
% 0.92/0.86 % (12315)Refutation found. Thanks to Tanya!
% 0.92/0.86 % SZS status Unsatisfiable for Vampire---4
% 0.92/0.86 % SZS output start Proof for Vampire---4
% See solution above
% 0.92/0.86 % (12315)------------------------------
% 0.92/0.86 % (12315)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.86 % (12315)Termination reason: Refutation
% 0.92/0.86
% 0.92/0.86 % (12315)Memory used [KB]: 1425
% 0.92/0.86 % (12315)Time elapsed: 0.020 s
% 0.92/0.86 % (12315)Instructions burned: 64 (million)
% 0.92/0.86 % (12315)------------------------------
% 0.92/0.86 % (12315)------------------------------
% 0.92/0.86 % (12214)Success in time 0.51 s
% 0.92/0.86 % Vampire---4.8 exiting
%------------------------------------------------------------------------------