TSTP Solution File: GRP391-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP391-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : 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 Aug 31 16:15:40 EDT 2022
% Result : Unsatisfiable 2.02s 0.61s
% Output : Refutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 61
% Syntax : Number of formulae : 388 ( 35 unt; 0 def)
% Number of atoms : 1392 ( 441 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1964 ( 960 ~; 984 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1388,plain,
$false,
inference(avatar_sat_refutation,[],[f95,f112,f121,f126,f135,f137,f138,f139,f140,f141,f142,f144,f145,f146,f147,f148,f149,f150,f151,f156,f158,f159,f160,f161,f162,f163,f164,f207,f212,f311,f313,f340,f347,f375,f408,f501,f606,f645,f658,f724,f819,f884,f918,f940,f953,f1200,f1287,f1291,f1373,f1387]) ).
fof(f1387,plain,
( ~ spl11_5
| ~ spl11_9
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1386]) ).
fof(f1386,plain,
( $false
| ~ spl11_5
| ~ spl11_9
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1385,f1256]) ).
fof(f1256,plain,
( identity = inverse(identity)
| ~ spl11_5
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1255,f201]) ).
fof(f201,plain,
( identity = sk_c6
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl11_20
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).
fof(f1255,plain,
( identity = inverse(sk_c6)
| ~ spl11_5
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f820,f1205]) ).
fof(f1205,plain,
( identity = sk_c8
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f192,f201]) ).
fof(f192,plain,
( sk_c6 = sk_c8
| ~ spl11_18 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl11_18
<=> sk_c6 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
fof(f820,plain,
( inverse(sk_c6) = sk_c8
| ~ spl11_5 ),
inference(backward_demodulation,[],[f37,f98]) ).
fof(f98,plain,
( sk_c8 = sF1
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl11_5
<=> sk_c8 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f37,plain,
inverse(sk_c6) = sF1,
introduced(function_definition,[]) ).
fof(f1385,plain,
( identity != inverse(identity)
| ~ spl11_5
| ~ spl11_9
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1381,f1256]) ).
fof(f1381,plain,
( identity != inverse(inverse(identity))
| ~ spl11_9
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(trivial_inequality_removal,[],[f1379]) ).
fof(f1379,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl11_9
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(superposition,[],[f1376,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1376,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_9
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1375,f888]) ).
fof(f888,plain,
( identity = sk_c7
| ~ spl11_16
| ~ spl11_20 ),
inference(backward_demodulation,[],[f182,f201]) ).
fof(f182,plain,
( sk_c6 = sk_c7
| ~ spl11_16 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,plain,
( spl11_16
<=> sk_c6 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).
fof(f1375,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_9
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1374,f1205]) ).
fof(f1374,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) )
| ~ spl11_9
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f111,f1205]) ).
fof(f111,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) )
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl11_9
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f1373,plain,
( ~ spl11_5
| ~ spl11_8
| ~ spl11_18
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1372]) ).
fof(f1372,plain,
( $false
| ~ spl11_5
| ~ spl11_8
| ~ spl11_18
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1371,f1256]) ).
fof(f1371,plain,
( identity != inverse(identity)
| ~ spl11_5
| ~ spl11_8
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1367,f1256]) ).
fof(f1367,plain,
( identity != inverse(inverse(identity))
| ~ spl11_8
| ~ spl11_18
| ~ spl11_20 ),
inference(trivial_inequality_removal,[],[f1365]) ).
fof(f1365,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_8
| ~ spl11_18
| ~ spl11_20 ),
inference(superposition,[],[f1344,f2]) ).
fof(f1344,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl11_8
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1343,f201]) ).
fof(f1343,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c6 != multiply(X7,identity) )
| ~ spl11_8
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1342,f1205]) ).
fof(f1342,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c6 != multiply(X7,sk_c8) )
| ~ spl11_8
| ~ spl11_20 ),
inference(forward_demodulation,[],[f108,f201]) ).
fof(f108,plain,
( ! [X7] :
( sk_c6 != inverse(X7)
| sk_c6 != multiply(X7,sk_c8) )
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl11_8
<=> ! [X7] :
( sk_c6 != multiply(X7,sk_c8)
| sk_c6 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f1291,plain,
( ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1290]) ).
fof(f1290,plain,
( $false
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1289,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f1289,plain,
( identity != multiply(identity,identity)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1272,f1239]) ).
fof(f1239,plain,
( identity = inverse(identity)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_18
| ~ spl11_20 ),
inference(backward_demodulation,[],[f1082,f1238]) ).
fof(f1238,plain,
( identity = sk_c5
| ~ spl11_4
| ~ spl11_5
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1237,f1]) ).
fof(f1237,plain,
( sk_c5 = multiply(identity,identity)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f702,f1210]) ).
fof(f1210,plain,
( identity = sF1
| ~ spl11_5
| ~ spl11_18
| ~ spl11_20 ),
inference(backward_demodulation,[],[f98,f1205]) ).
fof(f702,plain,
( sk_c5 = multiply(sF1,identity)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f391,f37]) ).
fof(f391,plain,
( sk_c5 = multiply(inverse(sk_c6),identity)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f262,f94]) ).
fof(f94,plain,
( sk_c6 = sF6
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl11_4
<=> sk_c6 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f262,plain,
sk_c5 = multiply(inverse(sF6),identity),
inference(superposition,[],[f228,f173]) ).
fof(f173,plain,
identity = multiply(sF6,sk_c5),
inference(superposition,[],[f2,f46]) ).
fof(f46,plain,
inverse(sk_c5) = sF6,
introduced(function_definition,[]) ).
fof(f228,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f219,f1]) ).
fof(f219,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = multiply(identity,X3),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f1082,plain,
( identity = inverse(sk_c5)
| ~ spl11_4
| ~ spl11_20 ),
inference(forward_demodulation,[],[f393,f201]) ).
fof(f393,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f46,f94]) ).
fof(f1272,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl11_7
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(trivial_inequality_removal,[],[f1271]) ).
fof(f1271,plain,
( identity != multiply(identity,inverse(identity))
| identity != identity
| ~ spl11_7
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(superposition,[],[f1211,f2]) ).
fof(f1211,plain,
( ! [X3] :
( identity != multiply(inverse(X3),identity)
| identity != multiply(X3,inverse(X3)) )
| ~ spl11_7
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1208,f1205]) ).
fof(f1208,plain,
( ! [X3] :
( sk_c8 != multiply(X3,inverse(X3))
| identity != multiply(inverse(X3),identity) )
| ~ spl11_7
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(backward_demodulation,[],[f1086,f1205]) ).
fof(f1086,plain,
( ! [X3] :
( sk_c8 != multiply(X3,inverse(X3))
| sk_c8 != multiply(inverse(X3),identity) )
| ~ spl11_7
| ~ spl11_16
| ~ spl11_20 ),
inference(forward_demodulation,[],[f105,f888]) ).
fof(f105,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl11_7
<=> ! [X3] :
( sk_c8 != multiply(X3,inverse(X3))
| sk_c8 != multiply(inverse(X3),sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f1287,plain,
( ~ spl11_2
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1286]) ).
fof(f1286,plain,
( $false
| ~ spl11_2
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1285,f1225]) ).
fof(f1225,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl11_2
| ~ spl11_10
| ~ spl11_14
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1224,f1]) ).
fof(f1224,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,X0)
| ~ spl11_2
| ~ spl11_10
| ~ spl11_14
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(backward_demodulation,[],[f1218,f1223]) ).
fof(f1223,plain,
( identity = sF5
| ~ spl11_10
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f116,f1205]) ).
fof(f116,plain,
( sk_c8 = sF5
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl11_10
<=> sk_c8 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f1218,plain,
( ! [X0] : multiply(sF5,X0) = multiply(sk_c1,X0)
| ~ spl11_2
| ~ spl11_10
| ~ spl11_14
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1217,f1]) ).
fof(f1217,plain,
( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = multiply(sF5,X0)
| ~ spl11_2
| ~ spl11_10
| ~ spl11_14
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(backward_demodulation,[],[f759,f1215]) ).
fof(f1215,plain,
( identity = sk_c2
| ~ spl11_2
| ~ spl11_10
| ~ spl11_14
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(backward_demodulation,[],[f1206,f1214]) ).
fof(f1214,plain,
( identity = multiply(sk_c2,identity)
| ~ spl11_2
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f990,f1205]) ).
fof(f990,plain,
( sk_c8 = multiply(sk_c2,identity)
| ~ spl11_2
| ~ spl11_16
| ~ spl11_20 ),
inference(forward_demodulation,[],[f788,f201]) ).
fof(f788,plain,
( sk_c8 = multiply(sk_c2,sk_c6)
| ~ spl11_2
| ~ spl11_16 ),
inference(backward_demodulation,[],[f166,f182]) ).
fof(f166,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f50,f85]) ).
fof(f85,plain,
( sk_c8 = sF7
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl11_2
<=> sk_c8 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f50,plain,
multiply(sk_c2,sk_c7) = sF7,
introduced(function_definition,[]) ).
fof(f1206,plain,
( sk_c2 = multiply(sk_c2,identity)
| ~ spl11_10
| ~ spl11_14
| ~ spl11_18
| ~ spl11_20 ),
inference(backward_demodulation,[],[f1088,f1205]) ).
fof(f1088,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1087,f134]) ).
fof(f134,plain,
( sk_c2 = sF9
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl11_14
<=> sk_c2 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f1087,plain,
( sk_c2 = multiply(sF9,sk_c8)
| ~ spl11_10 ),
inference(forward_demodulation,[],[f899,f116]) ).
fof(f899,plain,
sk_c2 = multiply(sF9,sF5),
inference(forward_demodulation,[],[f758,f53]) ).
fof(f53,plain,
inverse(sk_c1) = sF9,
introduced(function_definition,[]) ).
fof(f758,plain,
sk_c2 = multiply(inverse(sk_c1),sF5),
inference(superposition,[],[f228,f43]) ).
fof(f43,plain,
multiply(sk_c1,sk_c2) = sF5,
introduced(function_definition,[]) ).
fof(f759,plain,
! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sF5,X0),
inference(superposition,[],[f3,f43]) ).
fof(f1285,plain,
( identity != multiply(sk_c1,identity)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1270,f1]) ).
fof(f1270,plain,
( identity != multiply(identity,identity)
| identity != multiply(sk_c1,identity)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(superposition,[],[f1211,f1235]) ).
fof(f1235,plain,
( identity = inverse(sk_c1)
| ~ spl11_2
| ~ spl11_10
| ~ spl11_14
| ~ spl11_16
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1009,f1215]) ).
fof(f1009,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl11_14 ),
inference(backward_demodulation,[],[f53,f134]) ).
fof(f1200,plain,
( ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_16
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1199]) ).
fof(f1199,plain,
( $false
| ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_16
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1192,f1]) ).
fof(f1192,plain,
( identity != multiply(identity,identity)
| ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_16
| ~ spl11_20 ),
inference(duplicate_literal_removal,[],[f1187]) ).
fof(f1187,plain,
( identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_16
| ~ spl11_20 ),
inference(superposition,[],[f1108,f1116]) ).
fof(f1116,plain,
( identity = inverse(identity)
| ~ spl11_5
| ~ spl11_11
| ~ spl11_16
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1115,f201]) ).
fof(f1115,plain,
( identity = inverse(sk_c6)
| ~ spl11_5
| ~ spl11_11
| ~ spl11_16
| ~ spl11_20 ),
inference(forward_demodulation,[],[f820,f1095]) ).
fof(f1095,plain,
( identity = sk_c8
| ~ spl11_5
| ~ spl11_11
| ~ spl11_16
| ~ spl11_20 ),
inference(backward_demodulation,[],[f956,f1094]) ).
fof(f1094,plain,
( ! [X0] : multiply(sF2,X0) = X0
| ~ spl11_5
| ~ spl11_11
| ~ spl11_16
| ~ spl11_20 ),
inference(backward_demodulation,[],[f236,f1093]) ).
fof(f1093,plain,
( ! [X8] : multiply(sk_c3,X8) = X8
| ~ spl11_5
| ~ spl11_11
| ~ spl11_16
| ~ spl11_20 ),
inference(backward_demodulation,[],[f1090,f987]) ).
fof(f987,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl11_5
| ~ spl11_20 ),
inference(forward_demodulation,[],[f986,f1]) ).
fof(f986,plain,
( ! [X0] : multiply(sk_c8,multiply(identity,X0)) = X0
| ~ spl11_5
| ~ spl11_20 ),
inference(forward_demodulation,[],[f821,f201]) ).
fof(f821,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| ~ spl11_5 ),
inference(backward_demodulation,[],[f740,f98]) ).
fof(f740,plain,
! [X0] : multiply(sF1,multiply(sk_c6,X0)) = X0,
inference(superposition,[],[f228,f37]) ).
fof(f1090,plain,
( ! [X8] : multiply(sk_c3,multiply(sk_c8,X8)) = X8
| ~ spl11_11
| ~ spl11_16
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1089,f1]) ).
fof(f1089,plain,
( ! [X8] : multiply(sk_c3,multiply(sk_c8,X8)) = multiply(identity,X8)
| ~ spl11_11
| ~ spl11_16
| ~ spl11_20 ),
inference(forward_demodulation,[],[f796,f201]) ).
fof(f796,plain,
( ! [X8] : multiply(sk_c3,multiply(sk_c8,X8)) = multiply(sk_c6,X8)
| ~ spl11_11
| ~ spl11_16 ),
inference(backward_demodulation,[],[f592,f182]) ).
fof(f592,plain,
( ! [X8] : multiply(sk_c7,X8) = multiply(sk_c3,multiply(sk_c8,X8))
| ~ spl11_11 ),
inference(backward_demodulation,[],[f221,f120]) ).
fof(f120,plain,
( sk_c7 = sF8
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl11_11
<=> sk_c7 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f221,plain,
! [X8] : multiply(sk_c3,multiply(sk_c8,X8)) = multiply(sF8,X8),
inference(superposition,[],[f3,f52]) ).
fof(f52,plain,
multiply(sk_c3,sk_c8) = sF8,
introduced(function_definition,[]) ).
fof(f236,plain,
! [X0] : multiply(sF2,multiply(sk_c3,X0)) = X0,
inference(forward_demodulation,[],[f235,f1]) ).
fof(f235,plain,
! [X0] : multiply(identity,X0) = multiply(sF2,multiply(sk_c3,X0)),
inference(superposition,[],[f3,f171]) ).
fof(f171,plain,
identity = multiply(sF2,sk_c3),
inference(superposition,[],[f2,f39]) ).
fof(f39,plain,
inverse(sk_c3) = sF2,
introduced(function_definition,[]) ).
fof(f956,plain,
( sk_c8 = multiply(sF2,identity)
| ~ spl11_11
| ~ spl11_16
| ~ spl11_20 ),
inference(forward_demodulation,[],[f598,f888]) ).
fof(f598,plain,
( sk_c8 = multiply(sF2,sk_c7)
| ~ spl11_11 ),
inference(forward_demodulation,[],[f269,f120]) ).
fof(f269,plain,
sk_c8 = multiply(sF2,sF8),
inference(forward_demodulation,[],[f255,f39]) ).
fof(f255,plain,
sk_c8 = multiply(inverse(sk_c3),sF8),
inference(superposition,[],[f228,f52]) ).
fof(f1108,plain,
( ! [X3] :
( identity != multiply(inverse(X3),identity)
| identity != multiply(X3,inverse(X3)) )
| ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_16
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1106,f1095]) ).
fof(f1106,plain,
( ! [X3] :
( identity != multiply(X3,inverse(X3))
| sk_c8 != multiply(inverse(X3),identity) )
| ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_16
| ~ spl11_20 ),
inference(backward_demodulation,[],[f1086,f1095]) ).
fof(f953,plain,
( ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f952]) ).
fof(f952,plain,
( $false
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f951,f869]) ).
fof(f869,plain,
( identity = inverse(identity)
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16 ),
inference(forward_demodulation,[],[f833,f858]) ).
fof(f858,plain,
( identity = sk_c3
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16 ),
inference(forward_demodulation,[],[f834,f2]) ).
fof(f834,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16 ),
inference(backward_demodulation,[],[f730,f826]) ).
fof(f826,plain,
( identity = sk_c8
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16 ),
inference(backward_demodulation,[],[f801,f822]) ).
fof(f822,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f741,f98]) ).
fof(f741,plain,
identity = multiply(sF1,sk_c6),
inference(superposition,[],[f2,f37]) ).
fof(f801,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16 ),
inference(backward_demodulation,[],[f731,f182]) ).
fof(f731,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f598,f125]) ).
fof(f125,plain,
( sk_c8 = sF2
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl11_12
<=> sk_c8 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f730,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl11_12 ),
inference(forward_demodulation,[],[f257,f125]) ).
fof(f257,plain,
sk_c3 = multiply(inverse(sF2),identity),
inference(superposition,[],[f228,f171]) ).
fof(f833,plain,
( identity = inverse(sk_c3)
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16 ),
inference(backward_demodulation,[],[f728,f826]) ).
fof(f728,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl11_12 ),
inference(backward_demodulation,[],[f39,f125]) ).
fof(f951,plain,
( identity != inverse(identity)
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_20 ),
inference(forward_demodulation,[],[f947,f869]) ).
fof(f947,plain,
( identity != inverse(inverse(identity))
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_20 ),
inference(trivial_inequality_removal,[],[f945]) ).
fof(f945,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_20 ),
inference(superposition,[],[f943,f2]) ).
fof(f943,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_20 ),
inference(forward_demodulation,[],[f942,f888]) ).
fof(f942,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16 ),
inference(forward_demodulation,[],[f941,f826]) ).
fof(f941,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c8)
| identity != inverse(X5) )
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16 ),
inference(forward_demodulation,[],[f111,f826]) ).
fof(f940,plain,
( ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f939]) ).
fof(f939,plain,
( $false
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f934,f869]) ).
fof(f934,plain,
( identity != inverse(identity)
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_20 ),
inference(trivial_inequality_removal,[],[f931]) ).
fof(f931,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_20 ),
inference(superposition,[],[f930,f1]) ).
fof(f930,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_20 ),
inference(forward_demodulation,[],[f929,f201]) ).
fof(f929,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| sk_c6 != inverse(X7) )
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_20 ),
inference(forward_demodulation,[],[f928,f201]) ).
fof(f928,plain,
( ! [X7] :
( sk_c6 != multiply(X7,identity)
| sk_c6 != inverse(X7) )
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16 ),
inference(forward_demodulation,[],[f108,f826]) ).
fof(f918,plain,
( ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f917]) ).
fof(f917,plain,
( $false
| ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f912,f1]) ).
fof(f912,plain,
( identity != multiply(identity,identity)
| ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_20 ),
inference(duplicate_literal_removal,[],[f909]) ).
fof(f909,plain,
( identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_20 ),
inference(superposition,[],[f897,f869]) ).
fof(f897,plain,
( ! [X3] :
( identity != multiply(inverse(X3),identity)
| identity != multiply(X3,inverse(X3)) )
| ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_20 ),
inference(backward_demodulation,[],[f873,f201]) ).
fof(f873,plain,
( ! [X3] :
( identity != multiply(inverse(X3),sk_c6)
| identity != multiply(X3,inverse(X3)) )
| ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16 ),
inference(forward_demodulation,[],[f837,f826]) ).
fof(f837,plain,
( ! [X3] :
( sk_c8 != multiply(X3,inverse(X3))
| identity != multiply(inverse(X3),sk_c6) )
| ~ spl11_5
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16 ),
inference(backward_demodulation,[],[f785,f826]) ).
fof(f785,plain,
( ! [X3] :
( sk_c8 != multiply(X3,inverse(X3))
| sk_c8 != multiply(inverse(X3),sk_c6) )
| ~ spl11_7
| ~ spl11_16 ),
inference(backward_demodulation,[],[f105,f182]) ).
fof(f884,plain,
( spl11_20
| ~ spl11_1
| ~ spl11_15 ),
inference(avatar_split_clause,[],[f779,f153,f79,f200]) ).
fof(f79,plain,
( spl11_1
<=> sk_c6 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f153,plain,
( spl11_15
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f779,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_15 ),
inference(forward_demodulation,[],[f777,f2]) ).
fof(f777,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_1
| ~ spl11_15 ),
inference(superposition,[],[f228,f688]) ).
fof(f688,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl11_1
| ~ spl11_15 ),
inference(backward_demodulation,[],[f682,f81]) ).
fof(f81,plain,
( sk_c6 = sF0
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f682,plain,
( sk_c7 = multiply(sk_c7,sF0)
| ~ spl11_15 ),
inference(backward_demodulation,[],[f271,f155]) ).
fof(f155,plain,
( sk_c7 = sF4
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f271,plain,
sk_c7 = multiply(sF4,sF0),
inference(forward_demodulation,[],[f260,f42]) ).
fof(f42,plain,
inverse(sk_c4) = sF4,
introduced(function_definition,[]) ).
fof(f260,plain,
sk_c7 = multiply(inverse(sk_c4),sF0),
inference(superposition,[],[f228,f36]) ).
fof(f36,plain,
multiply(sk_c4,sk_c7) = sF0,
introduced(function_definition,[]) ).
fof(f819,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_13
| ~ spl11_15
| ~ spl11_16
| spl11_18 ),
inference(avatar_contradiction_clause,[],[f818]) ).
fof(f818,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_13
| ~ spl11_15
| ~ spl11_16
| spl11_18 ),
inference(subsumption_resolution,[],[f817,f193]) ).
fof(f193,plain,
( sk_c6 != sk_c8
| spl11_18 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f817,plain,
( sk_c6 = sk_c8
| ~ spl11_1
| ~ spl11_4
| ~ spl11_13
| ~ spl11_15
| ~ spl11_16 ),
inference(backward_demodulation,[],[f729,f799]) ).
fof(f799,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl11_1
| ~ spl11_15
| ~ spl11_16 ),
inference(backward_demodulation,[],[f688,f182]) ).
fof(f729,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl11_4
| ~ spl11_13 ),
inference(forward_demodulation,[],[f686,f94]) ).
fof(f686,plain,
( sk_c8 = multiply(sF6,sk_c6)
| ~ spl11_13 ),
inference(forward_demodulation,[],[f267,f130]) ).
fof(f130,plain,
( sk_c6 = sF10
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl11_13
<=> sk_c6 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f267,plain,
sk_c8 = multiply(sF6,sF10),
inference(forward_demodulation,[],[f256,f46]) ).
fof(f256,plain,
sk_c8 = multiply(inverse(sk_c5),sF10),
inference(superposition,[],[f228,f64]) ).
fof(f64,plain,
multiply(sk_c5,sk_c8) = sF10,
introduced(function_definition,[]) ).
fof(f724,plain,
( ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13
| spl11_16
| ~ spl11_18 ),
inference(avatar_contradiction_clause,[],[f723]) ).
fof(f723,plain,
( $false
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13
| spl11_16
| ~ spl11_18 ),
inference(subsumption_resolution,[],[f722,f183]) ).
fof(f183,plain,
( sk_c6 != sk_c7
| spl11_16 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f722,plain,
( sk_c6 = sk_c7
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13
| ~ spl11_18 ),
inference(backward_demodulation,[],[f699,f719]) ).
fof(f719,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl11_4
| ~ spl11_12
| ~ spl11_13
| ~ spl11_18 ),
inference(backward_demodulation,[],[f697,f716]) ).
fof(f716,plain,
( sk_c3 = sk_c5
| ~ spl11_4
| ~ spl11_12
| ~ spl11_18 ),
inference(backward_demodulation,[],[f702,f715]) ).
fof(f715,plain,
( sk_c3 = multiply(sF1,identity)
| ~ spl11_12
| ~ spl11_18 ),
inference(forward_demodulation,[],[f714,f37]) ).
fof(f714,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl11_12
| ~ spl11_18 ),
inference(forward_demodulation,[],[f257,f706]) ).
fof(f706,plain,
( sk_c6 = sF2
| ~ spl11_12
| ~ spl11_18 ),
inference(forward_demodulation,[],[f125,f192]) ).
fof(f697,plain,
( sk_c6 = multiply(sk_c5,sk_c6)
| ~ spl11_13
| ~ spl11_18 ),
inference(backward_demodulation,[],[f683,f192]) ).
fof(f683,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl11_13 ),
inference(backward_demodulation,[],[f64,f130]) ).
fof(f699,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl11_11
| ~ spl11_18 ),
inference(backward_demodulation,[],[f685,f192]) ).
fof(f685,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| ~ spl11_11 ),
inference(backward_demodulation,[],[f52,f120]) ).
fof(f658,plain,
( ~ spl11_1
| spl11_3
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f657,plain,
( $false
| ~ spl11_1
| spl11_3
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f656,f506]) ).
fof(f506,plain,
( identity = sk_c8
| ~ spl11_4
| ~ spl11_13
| ~ spl11_20 ),
inference(forward_demodulation,[],[f505,f1]) ).
fof(f505,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl11_4
| ~ spl11_13
| ~ spl11_20 ),
inference(forward_demodulation,[],[f504,f425]) ).
fof(f425,plain,
( identity = sF6
| ~ spl11_4
| ~ spl11_20 ),
inference(backward_demodulation,[],[f94,f201]) ).
fof(f504,plain,
( sk_c8 = multiply(sF6,identity)
| ~ spl11_13
| ~ spl11_20 ),
inference(forward_demodulation,[],[f267,f426]) ).
fof(f426,plain,
( identity = sF10
| ~ spl11_13
| ~ spl11_20 ),
inference(backward_demodulation,[],[f130,f201]) ).
fof(f656,plain,
( identity != sk_c8
| ~ spl11_1
| spl11_3
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15
| ~ spl11_20 ),
inference(forward_demodulation,[],[f89,f628]) ).
fof(f628,plain,
( identity = sF3
| ~ spl11_1
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15
| ~ spl11_20 ),
inference(backward_demodulation,[],[f470,f622]) ).
fof(f622,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15
| ~ spl11_20 ),
inference(backward_demodulation,[],[f480,f621]) ).
fof(f621,plain,
( ! [X8] : multiply(sk_c7,X8) = X8
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13
| ~ spl11_20 ),
inference(forward_demodulation,[],[f619,f1]) ).
fof(f619,plain,
( ! [X8] : multiply(sk_c7,X8) = multiply(identity,X8)
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13
| ~ spl11_20 ),
inference(backward_demodulation,[],[f597,f615]) ).
fof(f615,plain,
( identity = sk_c3
| ~ spl11_4
| ~ spl11_12
| ~ spl11_13
| ~ spl11_20 ),
inference(forward_demodulation,[],[f612,f2]) ).
fof(f612,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl11_4
| ~ spl11_12
| ~ spl11_13
| ~ spl11_20 ),
inference(backward_demodulation,[],[f257,f609]) ).
fof(f609,plain,
( identity = sF2
| ~ spl11_4
| ~ spl11_12
| ~ spl11_13
| ~ spl11_20 ),
inference(forward_demodulation,[],[f125,f506]) ).
fof(f597,plain,
( ! [X8] : multiply(sk_c7,X8) = multiply(sk_c3,X8)
| ~ spl11_4
| ~ spl11_11
| ~ spl11_13
| ~ spl11_20 ),
inference(forward_demodulation,[],[f593,f1]) ).
fof(f593,plain,
( ! [X8] : multiply(sk_c7,X8) = multiply(sk_c3,multiply(identity,X8))
| ~ spl11_4
| ~ spl11_11
| ~ spl11_13
| ~ spl11_20 ),
inference(backward_demodulation,[],[f592,f506]) ).
fof(f480,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl11_1
| ~ spl11_15
| ~ spl11_20 ),
inference(backward_demodulation,[],[f462,f155]) ).
fof(f462,plain,
( sk_c7 = multiply(sF4,identity)
| ~ spl11_1
| ~ spl11_20 ),
inference(forward_demodulation,[],[f271,f424]) ).
fof(f424,plain,
( identity = sF0
| ~ spl11_1
| ~ spl11_20 ),
inference(backward_demodulation,[],[f81,f201]) ).
fof(f470,plain,
( sk_c7 = sF3
| ~ spl11_20 ),
inference(forward_demodulation,[],[f469,f1]) ).
fof(f469,plain,
( multiply(identity,sk_c7) = sF3
| ~ spl11_20 ),
inference(forward_demodulation,[],[f40,f201]) ).
fof(f40,plain,
multiply(sk_c6,sk_c7) = sF3,
introduced(function_definition,[]) ).
fof(f89,plain,
( sk_c8 != sF3
| spl11_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl11_3
<=> sk_c8 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f645,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15
| spl11_16
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f644,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15
| spl11_16
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f643,f201]) ).
fof(f643,plain,
( identity != sk_c6
| ~ spl11_1
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13
| ~ spl11_15
| spl11_16
| ~ spl11_20 ),
inference(forward_demodulation,[],[f183,f622]) ).
fof(f606,plain,
( ~ spl11_4
| spl11_5
| ~ spl11_13
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f605,plain,
( $false
| ~ spl11_4
| spl11_5
| ~ spl11_13
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f604,f595]) ).
fof(f595,plain,
( identity != sF1
| ~ spl11_4
| spl11_5
| ~ spl11_13
| ~ spl11_20 ),
inference(backward_demodulation,[],[f99,f506]) ).
fof(f99,plain,
( sk_c8 != sF1
| spl11_5 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f604,plain,
( identity = sF1
| ~ spl11_4
| ~ spl11_20 ),
inference(forward_demodulation,[],[f603,f477]) ).
fof(f477,plain,
( identity = inverse(identity)
| ~ spl11_4
| ~ spl11_20 ),
inference(backward_demodulation,[],[f463,f473]) ).
fof(f473,plain,
( identity = sk_c5
| ~ spl11_4
| ~ spl11_20 ),
inference(forward_demodulation,[],[f472,f2]) ).
fof(f472,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl11_4
| ~ spl11_20 ),
inference(forward_demodulation,[],[f391,f201]) ).
fof(f463,plain,
( identity = inverse(sk_c5)
| ~ spl11_4
| ~ spl11_20 ),
inference(forward_demodulation,[],[f393,f201]) ).
fof(f603,plain,
( inverse(identity) = sF1
| ~ spl11_20 ),
inference(forward_demodulation,[],[f37,f201]) ).
fof(f501,plain,
( spl11_22
| ~ spl11_15 ),
inference(avatar_split_clause,[],[f500,f153,f209]) ).
fof(f209,plain,
( spl11_22
<=> sk_c7 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_22])]) ).
fof(f500,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl11_15 ),
inference(forward_demodulation,[],[f42,f155]) ).
fof(f408,plain,
( ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14
| spl11_21 ),
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f407,plain,
( $false
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14
| spl11_21 ),
inference(subsumption_resolution,[],[f406,f372]) ).
fof(f372,plain,
( identity = inverse(identity)
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f361,f362]) ).
fof(f362,plain,
( identity = sk_c3
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f358,f2]) ).
fof(f358,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f257,f356]) ).
fof(f356,plain,
( identity = sF2
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f125,f274]) ).
fof(f274,plain,
( identity = sk_c8
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f272,f2]) ).
fof(f272,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c2)
| ~ spl11_10
| ~ spl11_14 ),
inference(superposition,[],[f228,f268]) ).
fof(f268,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f264,f165]) ).
fof(f165,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl11_14 ),
inference(backward_demodulation,[],[f53,f134]) ).
fof(f264,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c8)
| ~ spl11_10 ),
inference(superposition,[],[f228,f168]) ).
fof(f168,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f43,f116]) ).
fof(f361,plain,
( identity = inverse(sk_c3)
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f39,f356]) ).
fof(f406,plain,
( identity != inverse(identity)
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14
| spl11_21 ),
inference(forward_demodulation,[],[f405,f372]) ).
fof(f405,plain,
( identity != inverse(inverse(identity))
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14
| spl11_21 ),
inference(forward_demodulation,[],[f206,f376]) ).
fof(f376,plain,
( identity = sk_c7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f120,f366]) ).
fof(f366,plain,
( identity = sF8
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f364,f1]) ).
fof(f364,plain,
( sF8 = multiply(identity,identity)
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f275,f362]) ).
fof(f275,plain,
( multiply(sk_c3,identity) = sF8
| ~ spl11_10
| ~ spl11_14 ),
inference(backward_demodulation,[],[f52,f274]) ).
fof(f206,plain,
( sk_c7 != inverse(inverse(sk_c7))
| spl11_21 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl11_21
<=> sk_c7 = inverse(inverse(sk_c7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_21])]) ).
fof(f375,plain,
( spl11_20
| ~ spl11_10
| ~ spl11_14
| ~ spl11_18 ),
inference(avatar_split_clause,[],[f374,f191,f132,f114,f200]) ).
fof(f374,plain,
( identity = sk_c6
| ~ spl11_10
| ~ spl11_14
| ~ spl11_18 ),
inference(forward_demodulation,[],[f192,f274]) ).
fof(f347,plain,
( spl11_20
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f346,f132,f114,f97,f200]) ).
fof(f346,plain,
( identity = sk_c6
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f295,f2]) ).
fof(f295,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14 ),
inference(backward_demodulation,[],[f254,f274]) ).
fof(f254,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl11_5 ),
inference(superposition,[],[f228,f170]) ).
fof(f170,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl11_5 ),
inference(superposition,[],[f2,f169]) ).
fof(f169,plain,
( inverse(sk_c6) = sk_c8
| ~ spl11_5 ),
inference(backward_demodulation,[],[f37,f98]) ).
fof(f340,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14
| spl11_21 ),
inference(avatar_contradiction_clause,[],[f339]) ).
fof(f339,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14
| spl11_21 ),
inference(subsumption_resolution,[],[f335,f337]) ).
fof(f337,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14
| spl11_21 ),
inference(backward_demodulation,[],[f326,f332]) ).
fof(f332,plain,
( identity = sk_c2
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f298,f324]) ).
fof(f324,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f321,f1]) ).
fof(f321,plain,
( ! [X0] : multiply(sk_c2,multiply(identity,X0)) = X0
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14 ),
inference(backward_demodulation,[],[f234,f319]) ).
fof(f319,plain,
( identity = sk_c1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14 ),
inference(backward_demodulation,[],[f263,f318]) ).
fof(f318,plain,
( identity = multiply(inverse(sk_c2),identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f296,f301]) ).
fof(f301,plain,
( identity = sk_c7
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f293,f1]) ).
fof(f293,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14 ),
inference(backward_demodulation,[],[f241,f274]) ).
fof(f241,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl11_3
| ~ spl11_5 ),
inference(superposition,[],[f232,f167]) ).
fof(f167,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f40,f90]) ).
fof(f90,plain,
( sk_c8 = sF3
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f232,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| ~ spl11_5 ),
inference(forward_demodulation,[],[f231,f1]) ).
fof(f231,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl11_5 ),
inference(superposition,[],[f3,f170]) ).
fof(f296,plain,
( sk_c7 = multiply(inverse(sk_c2),identity)
| ~ spl11_2
| ~ spl11_10
| ~ spl11_14 ),
inference(backward_demodulation,[],[f258,f274]) ).
fof(f258,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl11_2 ),
inference(superposition,[],[f228,f166]) ).
fof(f263,plain,
( sk_c1 = multiply(inverse(sk_c2),identity)
| ~ spl11_14 ),
inference(superposition,[],[f228,f174]) ).
fof(f174,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl11_14 ),
inference(superposition,[],[f2,f165]) ).
fof(f234,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
| ~ spl11_14 ),
inference(forward_demodulation,[],[f233,f1]) ).
fof(f233,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
| ~ spl11_14 ),
inference(superposition,[],[f3,f174]) ).
fof(f298,plain,
( sk_c2 = multiply(sk_c2,identity)
| ~ spl11_10
| ~ spl11_14 ),
inference(backward_demodulation,[],[f268,f274]) ).
fof(f326,plain,
( identity != inverse(sk_c2)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14
| spl11_21 ),
inference(backward_demodulation,[],[f305,f323]) ).
fof(f323,plain,
( sk_c2 = inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14 ),
inference(backward_demodulation,[],[f165,f319]) ).
fof(f305,plain,
( identity != inverse(inverse(identity))
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14
| spl11_21 ),
inference(backward_demodulation,[],[f206,f301]) ).
fof(f335,plain,
( identity = inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14 ),
inference(backward_demodulation,[],[f323,f332]) ).
fof(f313,plain,
( ~ spl11_20
| ~ spl11_10
| ~ spl11_14
| spl11_18 ),
inference(avatar_split_clause,[],[f286,f191,f132,f114,f200]) ).
fof(f286,plain,
( identity != sk_c6
| ~ spl11_10
| ~ spl11_14
| spl11_18 ),
inference(backward_demodulation,[],[f193,f274]) ).
fof(f311,plain,
( ~ spl11_20
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14
| spl11_16 ),
inference(avatar_split_clause,[],[f304,f181,f132,f114,f97,f88,f200]) ).
fof(f304,plain,
( identity != sk_c6
| ~ spl11_3
| ~ spl11_5
| ~ spl11_10
| ~ spl11_14
| spl11_16 ),
inference(backward_demodulation,[],[f183,f301]) ).
fof(f212,plain,
( ~ spl11_1
| ~ spl11_22
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f177,f101,f209,f79]) ).
fof(f101,plain,
( spl11_6
<=> ! [X6] :
( sk_c7 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f177,plain,
( sk_c7 != inverse(sk_c4)
| sk_c6 != sF0
| ~ spl11_6 ),
inference(superposition,[],[f102,f36]) ).
fof(f102,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f207,plain,
( ~ spl11_20
| ~ spl11_21
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f179,f101,f204,f200]) ).
fof(f179,plain,
( sk_c7 != inverse(inverse(sk_c7))
| identity != sk_c6
| ~ spl11_6 ),
inference(superposition,[],[f102,f2]) ).
fof(f164,plain,
( spl11_14
| spl11_15 ),
inference(avatar_split_clause,[],[f71,f153,f132]) ).
fof(f71,plain,
( sk_c7 = sF4
| sk_c2 = sF9 ),
inference(definition_folding,[],[f19,f42,f53]) ).
fof(f19,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f163,plain,
( spl11_10
| spl11_15 ),
inference(avatar_split_clause,[],[f44,f153,f114]) ).
fof(f44,plain,
( sk_c7 = sF4
| sk_c8 = sF5 ),
inference(definition_folding,[],[f13,f43,f42]) ).
fof(f13,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f162,plain,
( spl11_5
| spl11_15 ),
inference(avatar_split_clause,[],[f66,f153,f97]) ).
fof(f66,plain,
( sk_c7 = sF4
| sk_c8 = sF1 ),
inference(definition_folding,[],[f7,f37,f42]) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c4)
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f161,plain,
( spl11_2
| spl11_15 ),
inference(avatar_split_clause,[],[f51,f153,f83]) ).
fof(f51,plain,
( sk_c7 = sF4
| sk_c8 = sF7 ),
inference(definition_folding,[],[f25,f42,f50]) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f160,plain,
( spl11_10
| spl11_4 ),
inference(avatar_split_clause,[],[f55,f92,f114]) ).
fof(f55,plain,
( sk_c6 = sF6
| sk_c8 = sF5 ),
inference(definition_folding,[],[f14,f46,f43]) ).
fof(f14,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f159,plain,
( spl11_14
| spl11_4 ),
inference(avatar_split_clause,[],[f73,f92,f132]) ).
fof(f73,plain,
( sk_c6 = sF6
| sk_c2 = sF9 ),
inference(definition_folding,[],[f20,f53,f46]) ).
fof(f20,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f158,plain,
( spl11_10
| spl11_13 ),
inference(avatar_split_clause,[],[f74,f128,f114]) ).
fof(f74,plain,
( sk_c6 = sF10
| sk_c8 = sF5 ),
inference(definition_folding,[],[f15,f43,f64]) ).
fof(f15,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f156,plain,
( spl11_3
| spl11_15 ),
inference(avatar_split_clause,[],[f70,f153,f88]) ).
fof(f70,plain,
( sk_c7 = sF4
| sk_c8 = sF3 ),
inference(definition_folding,[],[f31,f40,f42]) ).
fof(f31,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f151,plain,
( spl11_12
| spl11_10 ),
inference(avatar_split_clause,[],[f45,f114,f123]) ).
fof(f45,plain,
( sk_c8 = sF5
| sk_c8 = sF2 ),
inference(definition_folding,[],[f11,f43,f39]) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f150,plain,
( spl11_1
| spl11_14 ),
inference(avatar_split_clause,[],[f72,f132,f79]) ).
fof(f72,plain,
( sk_c2 = sF9
| sk_c6 = sF0 ),
inference(definition_folding,[],[f18,f53,f36]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f149,plain,
( spl11_1
| spl11_10 ),
inference(avatar_split_clause,[],[f48,f114,f79]) ).
fof(f48,plain,
( sk_c8 = sF5
| sk_c6 = sF0 ),
inference(definition_folding,[],[f12,f36,f43]) ).
fof(f12,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c6 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f148,plain,
( spl11_3
| spl11_1 ),
inference(avatar_split_clause,[],[f49,f79,f88]) ).
fof(f49,plain,
( sk_c6 = sF0
| sk_c8 = sF3 ),
inference(definition_folding,[],[f30,f36,f40]) ).
fof(f30,axiom,
( sk_c8 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f147,plain,
( spl11_14
| spl11_12 ),
inference(avatar_split_clause,[],[f61,f123,f132]) ).
fof(f61,plain,
( sk_c8 = sF2
| sk_c2 = sF9 ),
inference(definition_folding,[],[f17,f39,f53]) ).
fof(f17,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f146,plain,
( spl11_12
| spl11_2 ),
inference(avatar_split_clause,[],[f63,f83,f123]) ).
fof(f63,plain,
( sk_c8 = sF7
| sk_c8 = sF2 ),
inference(definition_folding,[],[f23,f50,f39]) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f145,plain,
( spl11_11
| spl11_14 ),
inference(avatar_split_clause,[],[f54,f132,f118]) ).
fof(f54,plain,
( sk_c2 = sF9
| sk_c7 = sF8 ),
inference(definition_folding,[],[f16,f53,f52]) ).
fof(f16,axiom,
( multiply(sk_c3,sk_c8) = sk_c7
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f144,plain,
( spl11_4
| spl11_5 ),
inference(avatar_split_clause,[],[f47,f97,f92]) ).
fof(f47,plain,
( sk_c8 = sF1
| sk_c6 = sF6 ),
inference(definition_folding,[],[f8,f46,f37]) ).
fof(f8,axiom,
( inverse(sk_c6) = sk_c8
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f142,plain,
( spl11_1
| spl11_5 ),
inference(avatar_split_clause,[],[f38,f97,f79]) ).
fof(f38,plain,
( sk_c8 = sF1
| sk_c6 = sF0 ),
inference(definition_folding,[],[f6,f37,f36]) ).
fof(f6,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f141,plain,
( spl11_5
| spl11_13 ),
inference(avatar_split_clause,[],[f77,f128,f97]) ).
fof(f77,plain,
( sk_c6 = sF10
| sk_c8 = sF1 ),
inference(definition_folding,[],[f9,f64,f37]) ).
fof(f9,axiom,
( inverse(sk_c6) = sk_c8
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f140,plain,
( spl11_3
| spl11_13 ),
inference(avatar_split_clause,[],[f75,f128,f88]) ).
fof(f75,plain,
( sk_c6 = sF10
| sk_c8 = sF3 ),
inference(definition_folding,[],[f33,f40,f64]) ).
fof(f33,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f139,plain,
( spl11_3
| spl11_11 ),
inference(avatar_split_clause,[],[f57,f118,f88]) ).
fof(f57,plain,
( sk_c7 = sF8
| sk_c8 = sF3 ),
inference(definition_folding,[],[f28,f40,f52]) ).
fof(f28,axiom,
( multiply(sk_c3,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f138,plain,
( spl11_4
| spl11_2 ),
inference(avatar_split_clause,[],[f59,f83,f92]) ).
fof(f59,plain,
( sk_c8 = sF7
| sk_c6 = sF6 ),
inference(definition_folding,[],[f26,f46,f50]) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f137,plain,
( spl11_2
| spl11_11 ),
inference(avatar_split_clause,[],[f69,f118,f83]) ).
fof(f69,plain,
( sk_c7 = sF8
| sk_c8 = sF7 ),
inference(definition_folding,[],[f22,f52,f50]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f135,plain,
( spl11_13
| spl11_14 ),
inference(avatar_split_clause,[],[f67,f132,f128]) ).
fof(f67,plain,
( sk_c2 = sF9
| sk_c6 = sF10 ),
inference(definition_folding,[],[f21,f53,f64]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f126,plain,
( spl11_12
| spl11_3 ),
inference(avatar_split_clause,[],[f41,f88,f123]) ).
fof(f41,plain,
( sk_c8 = sF3
| sk_c8 = sF2 ),
inference(definition_folding,[],[f29,f40,f39]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f121,plain,
( spl11_10
| spl11_11 ),
inference(avatar_split_clause,[],[f76,f118,f114]) ).
fof(f76,plain,
( sk_c7 = sF8
| sk_c8 = sF5 ),
inference(definition_folding,[],[f10,f43,f52]) ).
fof(f10,axiom,
( multiply(sk_c3,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f112,plain,
( ~ spl11_3
| ~ spl11_5
| spl11_6
| spl11_7
| spl11_8
| spl11_9 ),
inference(avatar_split_clause,[],[f60,f110,f107,f104,f101,f97,f88]) ).
fof(f60,plain,
! [X3,X6,X7,X5] :
( sk_c8 != inverse(X5)
| sk_c6 != multiply(X7,sk_c8)
| sk_c8 != multiply(X3,inverse(X3))
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != inverse(X6)
| sk_c8 != sF1
| sk_c8 != sF3
| sk_c6 != inverse(X7)
| sk_c6 != multiply(X6,sk_c7)
| sk_c8 != multiply(inverse(X3),sk_c7) ),
inference(definition_folding,[],[f35,f40,f37]) ).
fof(f35,plain,
! [X3,X6,X7,X5] :
( sk_c7 != multiply(X5,sk_c8)
| inverse(sk_c6) != sk_c8
| sk_c8 != inverse(X5)
| sk_c6 != multiply(X7,sk_c8)
| sk_c7 != inverse(X6)
| sk_c6 != inverse(X7)
| sk_c6 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,inverse(X3))
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(sk_c6,sk_c7) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != multiply(X5,sk_c8)
| inverse(sk_c6) != sk_c8
| sk_c8 != inverse(X5)
| sk_c6 != multiply(X7,sk_c8)
| sk_c7 != inverse(X6)
| sk_c6 != inverse(X7)
| sk_c6 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,X4)
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(sk_c6,sk_c7)
| inverse(X3) != X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f95,plain,
( spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f56,f92,f88]) ).
fof(f56,plain,
( sk_c6 = sF6
| sk_c8 = sF3 ),
inference(definition_folding,[],[f32,f46,f40]) ).
fof(f32,axiom,
( sk_c8 = multiply(sk_c6,sk_c7)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP391-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % 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 : n022.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:28:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (28574)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.49 % (28593)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50 % (28586)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (28575)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.50 % (28584)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.50 % (28586)Instruction limit reached!
% 0.19/0.50 % (28586)------------------------------
% 0.19/0.50 % (28586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (28586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (28586)Termination reason: Unknown
% 0.19/0.50 % (28586)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (28586)Memory used [KB]: 5884
% 0.19/0.50 % (28586)Time elapsed: 0.003 s
% 0.19/0.50 % (28586)Instructions burned: 4 (million)
% 0.19/0.50 % (28586)------------------------------
% 0.19/0.50 % (28586)------------------------------
% 0.19/0.50 % (28585)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.50 % (28593)Instruction limit reached!
% 0.19/0.50 % (28593)------------------------------
% 0.19/0.50 % (28593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (28583)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51 % (28595)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=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.51 % (28587)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.52 % (28585)Instruction limit reached!
% 0.19/0.52 % (28585)------------------------------
% 0.19/0.52 % (28585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (28593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28592)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (28593)Termination reason: Unknown
% 0.19/0.52 % (28593)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (28593)Memory used [KB]: 1407
% 0.19/0.52 % (28593)Time elapsed: 0.120 s
% 0.19/0.52 % (28593)Instructions burned: 6 (million)
% 0.19/0.52 % (28593)------------------------------
% 0.19/0.52 % (28593)------------------------------
% 0.19/0.52 % (28597)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.52 % (28585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28585)Termination reason: Unknown
% 0.19/0.52 % (28585)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (28585)Memory used [KB]: 5884
% 0.19/0.52 % (28585)Time elapsed: 0.129 s
% 0.19/0.52 % (28585)Instructions burned: 5 (million)
% 0.19/0.52 % (28585)------------------------------
% 0.19/0.52 % (28585)------------------------------
% 0.19/0.52 % (28577)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.52 % (28599)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.52 % (28579)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.52 % (28578)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52 % (28577)Refutation not found, incomplete strategy% (28577)------------------------------
% 0.19/0.52 % (28577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (28577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28577)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (28577)Memory used [KB]: 5884
% 0.19/0.52 % (28577)Time elapsed: 0.128 s
% 0.19/0.52 % (28577)Instructions burned: 4 (million)
% 0.19/0.52 % (28577)------------------------------
% 0.19/0.52 % (28577)------------------------------
% 0.19/0.52 % (28599)Refutation not found, incomplete strategy% (28599)------------------------------
% 0.19/0.52 % (28599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (28599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28599)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (28599)Memory used [KB]: 5884
% 0.19/0.52 % (28599)Time elapsed: 0.128 s
% 0.19/0.52 % (28599)Instructions burned: 3 (million)
% 0.19/0.52 % (28599)------------------------------
% 0.19/0.52 % (28599)------------------------------
% 0.19/0.52 % (28588)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52 % (28576)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.52 % (28602)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (28575)Instruction limit reached!
% 0.19/0.52 % (28575)------------------------------
% 0.19/0.52 % (28575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (28575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28575)Termination reason: Unknown
% 0.19/0.52 % (28575)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (28575)Memory used [KB]: 5884
% 0.19/0.52 % (28575)Time elapsed: 0.004 s
% 0.19/0.52 % (28575)Instructions burned: 4 (million)
% 0.19/0.52 % (28575)------------------------------
% 0.19/0.52 % (28575)------------------------------
% 0.19/0.52 % (28573)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.52 % (28600)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.52 % (28583)Instruction limit reached!
% 0.19/0.52 % (28583)------------------------------
% 0.19/0.52 % (28583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (28583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28583)Termination reason: Unknown
% 0.19/0.52 % (28583)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (28583)Memory used [KB]: 5884
% 0.19/0.52 % (28583)Time elapsed: 0.108 s
% 0.19/0.52 % (28583)Instructions burned: 6 (million)
% 0.19/0.52 % (28583)------------------------------
% 0.19/0.52 % (28583)------------------------------
% 0.19/0.52 % (28589)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (28589)Instruction limit reached!
% 0.19/0.52 % (28589)------------------------------
% 0.19/0.52 % (28589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (28589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28589)Termination reason: Unknown
% 0.19/0.52 % (28589)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (28589)Memory used [KB]: 5884
% 0.19/0.52 % (28589)Time elapsed: 0.003 s
% 0.19/0.52 % (28589)Instructions burned: 3 (million)
% 0.19/0.52 % (28589)------------------------------
% 0.19/0.52 % (28589)------------------------------
% 0.19/0.53 % (28580)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (28594)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.53 % (28581)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (28581)Instruction limit reached!
% 0.19/0.53 % (28581)------------------------------
% 0.19/0.53 % (28581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (28581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (28581)Termination reason: Unknown
% 0.19/0.53 % (28581)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (28581)Memory used [KB]: 5884
% 0.19/0.53 % (28581)Time elapsed: 0.141 s
% 0.19/0.53 % (28581)Instructions burned: 5 (million)
% 0.19/0.53 % (28581)------------------------------
% 0.19/0.53 % (28581)------------------------------
% 0.19/0.53 % (28591)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.53 % (28592)Instruction limit reached!
% 0.19/0.53 % (28592)------------------------------
% 0.19/0.53 % (28592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (28592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (28592)Termination reason: Unknown
% 0.19/0.53 % (28592)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (28592)Memory used [KB]: 6012
% 0.19/0.53 % (28592)Time elapsed: 0.119 s
% 0.19/0.53 % (28592)Instructions burned: 7 (million)
% 0.19/0.53 % (28592)------------------------------
% 0.19/0.53 % (28592)------------------------------
% 0.19/0.53 % (28598)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.53 % (28591)Refutation not found, incomplete strategy% (28591)------------------------------
% 0.19/0.53 % (28591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (28591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (28591)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (28591)Memory used [KB]: 10490
% 0.19/0.53 % (28591)Time elapsed: 0.141 s
% 0.19/0.53 % (28591)Instructions burned: 6 (million)
% 0.19/0.53 % (28591)------------------------------
% 0.19/0.53 % (28591)------------------------------
% 0.19/0.53 % (28574)Instruction limit reached!
% 0.19/0.53 % (28574)------------------------------
% 0.19/0.53 % (28574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (28574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (28574)Termination reason: Unknown
% 0.19/0.53 % (28574)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (28574)Memory used [KB]: 1791
% 0.19/0.53 % (28574)Time elapsed: 0.124 s
% 0.19/0.53 % (28574)Instructions burned: 42 (million)
% 0.19/0.53 % (28574)------------------------------
% 0.19/0.53 % (28574)------------------------------
% 0.19/0.53 % (28596)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (28598)Refutation not found, incomplete strategy% (28598)------------------------------
% 0.19/0.53 % (28598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (28598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (28598)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (28598)Memory used [KB]: 6012
% 0.19/0.53 % (28598)Time elapsed: 0.141 s
% 0.19/0.53 % (28598)Instructions burned: 7 (million)
% 0.19/0.53 % (28598)------------------------------
% 0.19/0.53 % (28598)------------------------------
% 0.19/0.54 % (28601)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.54 % (28596)Refutation not found, incomplete strategy% (28596)------------------------------
% 0.19/0.54 % (28596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (28596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (28596)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (28596)Memory used [KB]: 5884
% 0.19/0.54 % (28596)Time elapsed: 0.123 s
% 0.19/0.54 % (28596)Instructions burned: 3 (million)
% 0.19/0.54 % (28596)------------------------------
% 0.19/0.54 % (28596)------------------------------
% 0.19/0.54 % (28582)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (28590)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.54 % (28601)Refutation not found, incomplete strategy% (28601)------------------------------
% 0.19/0.54 % (28601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (28601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (28601)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (28601)Memory used [KB]: 5884
% 0.19/0.54 % (28601)Time elapsed: 0.149 s
% 0.19/0.54 % (28601)Instructions burned: 4 (million)
% 0.19/0.54 % (28601)------------------------------
% 0.19/0.54 % (28601)------------------------------
% 0.19/0.54 % (28588)Instruction limit reached!
% 0.19/0.54 % (28588)------------------------------
% 0.19/0.54 % (28588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (28588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (28588)Termination reason: Unknown
% 0.19/0.54 % (28588)Termination phase: Finite model building preprocessing
% 0.19/0.54
% 0.19/0.54 % (28588)Memory used [KB]: 6012
% 0.19/0.54 % (28588)Time elapsed: 0.005 s
% 0.19/0.54 % (28588)Instructions burned: 7 (million)
% 0.19/0.54 % (28588)------------------------------
% 0.19/0.54 % (28588)------------------------------
% 0.19/0.54 % (28590)Instruction limit reached!
% 0.19/0.54 % (28590)------------------------------
% 0.19/0.54 % (28590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (28590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (28590)Termination reason: Unknown
% 0.19/0.54 % (28590)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (28590)Memory used [KB]: 6012
% 0.19/0.54 % (28590)Time elapsed: 0.154 s
% 0.19/0.54 % (28590)Instructions burned: 10 (million)
% 0.19/0.54 % (28590)------------------------------
% 0.19/0.54 % (28590)------------------------------
% 0.19/0.55 % (28584)Instruction limit reached!
% 0.19/0.55 % (28584)------------------------------
% 0.19/0.55 % (28584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (28584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (28584)Termination reason: Unknown
% 0.19/0.55 % (28584)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (28584)Memory used [KB]: 6140
% 0.19/0.55 % (28584)Time elapsed: 0.159 s
% 0.19/0.55 % (28584)Instructions burned: 23 (million)
% 0.19/0.55 % (28584)------------------------------
% 0.19/0.55 % (28584)------------------------------
% 0.19/0.56 % (28578)Instruction limit reached!
% 0.19/0.56 % (28578)------------------------------
% 0.19/0.56 % (28578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (28578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (28578)Termination reason: Unknown
% 0.19/0.56 % (28578)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (28578)Memory used [KB]: 6140
% 0.19/0.56 % (28578)Time elapsed: 0.165 s
% 0.19/0.56 % (28578)Instructions burned: 25 (million)
% 0.19/0.56 % (28578)------------------------------
% 0.19/0.56 % (28578)------------------------------
% 0.19/0.57 % (28576)Instruction limit reached!
% 0.19/0.57 % (28576)------------------------------
% 0.19/0.57 % (28576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (28576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (28576)Termination reason: Unknown
% 0.19/0.57 % (28576)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (28576)Memory used [KB]: 6652
% 0.19/0.57 % (28576)Time elapsed: 0.168 s
% 0.19/0.57 % (28576)Instructions burned: 44 (million)
% 0.19/0.57 % (28576)------------------------------
% 0.19/0.57 % (28576)------------------------------
% 1.88/0.58 % (28587)Instruction limit reached!
% 1.88/0.58 % (28587)------------------------------
% 1.88/0.58 % (28587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.58 % (28587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.58 % (28587)Termination reason: Unknown
% 1.88/0.58 % (28587)Termination phase: Saturation
% 1.88/0.58
% 1.88/0.58 % (28587)Memory used [KB]: 1663
% 1.88/0.58 % (28587)Time elapsed: 0.129 s
% 1.88/0.58 % (28587)Instructions burned: 30 (million)
% 1.88/0.58 % (28587)------------------------------
% 1.88/0.58 % (28587)------------------------------
% 1.88/0.59 % (28579)Instruction limit reached!
% 1.88/0.59 % (28579)------------------------------
% 1.88/0.59 % (28579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.59 % (28579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.59 % (28579)Termination reason: Unknown
% 1.88/0.59 % (28579)Termination phase: Saturation
% 1.88/0.59
% 1.88/0.59 % (28579)Memory used [KB]: 1663
% 1.88/0.59 % (28579)Time elapsed: 0.164 s
% 1.88/0.59 % (28579)Instructions burned: 49 (million)
% 1.88/0.59 % (28579)------------------------------
% 1.88/0.59 % (28579)------------------------------
% 2.02/0.59 % (28597)Instruction limit reached!
% 2.02/0.59 % (28597)------------------------------
% 2.02/0.59 % (28597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.59 % (28597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.59 % (28597)Termination reason: Unknown
% 2.02/0.59 % (28597)Termination phase: Saturation
% 2.02/0.59
% 2.02/0.59 % (28597)Memory used [KB]: 6780
% 2.02/0.59 % (28597)Time elapsed: 0.189 s
% 2.02/0.59 % (28597)Instructions burned: 48 (million)
% 2.02/0.59 % (28597)------------------------------
% 2.02/0.59 % (28597)------------------------------
% 2.02/0.60 % (28573)First to succeed.
% 2.02/0.60 % (28600)Instruction limit reached!
% 2.02/0.60 % (28600)------------------------------
% 2.02/0.60 % (28600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.60 % (28600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.60 % (28600)Termination reason: Unknown
% 2.02/0.60 % (28600)Termination phase: Saturation
% 2.02/0.60
% 2.02/0.60 % (28600)Memory used [KB]: 1918
% 2.02/0.60 % (28600)Time elapsed: 0.199 s
% 2.02/0.60 % (28600)Instructions burned: 74 (million)
% 2.02/0.60 % (28600)------------------------------
% 2.02/0.60 % (28600)------------------------------
% 2.02/0.61 % (28573)Refutation found. Thanks to Tanya!
% 2.02/0.61 % SZS status Unsatisfiable for theBenchmark
% 2.02/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 2.02/0.61 % (28573)------------------------------
% 2.02/0.61 % (28573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.61 % (28573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.61 % (28573)Termination reason: Refutation
% 2.02/0.61
% 2.02/0.61 % (28573)Memory used [KB]: 6396
% 2.02/0.61 % (28573)Time elapsed: 0.201 s
% 2.02/0.61 % (28573)Instructions burned: 43 (million)
% 2.02/0.61 % (28573)------------------------------
% 2.02/0.61 % (28573)------------------------------
% 2.02/0.61 % (28572)Success in time 0.252 s
%------------------------------------------------------------------------------