TSTP Solution File: GRP259-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP259-1 : 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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:04 EDT 2022
% Result : Unsatisfiable 1.76s 0.62s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 63
% Syntax : Number of formulae : 381 ( 33 unt; 0 def)
% Number of atoms : 1679 ( 443 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 2568 (1270 ~;1278 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-2 aty)
% Number of variables : 95 ( 95 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1257,plain,
$false,
inference(avatar_sat_refutation,[],[f110,f119,f124,f125,f130,f135,f140,f142,f143,f166,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f180,f181,f182,f183,f184,f185,f186,f296,f395,f440,f461,f483,f513,f592,f594,f678,f909,f922,f1012,f1038,f1042,f1065,f1122,f1168,f1187,f1215,f1232,f1256]) ).
fof(f1256,plain,
( ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_15
| ~ spl12_18
| ~ spl12_19
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f1255]) ).
fof(f1255,plain,
( $false
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_15
| ~ spl12_18
| ~ spl12_19
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f1254,f1068]) ).
fof(f1068,plain,
( identity = inverse(identity)
| ~ spl12_18
| ~ spl12_19 ),
inference(backward_demodulation,[],[f384,f388]) ).
fof(f388,plain,
( identity = sk_c1
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f387,plain,
( spl12_19
<=> identity = sk_c1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f384,plain,
( identity = inverse(sk_c1)
| ~ spl12_18 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f383,plain,
( spl12_18
<=> identity = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
fof(f1254,plain,
( identity != inverse(identity)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_15
| ~ spl12_18
| ~ spl12_19
| ~ spl12_22 ),
inference(forward_demodulation,[],[f1248,f1068]) ).
fof(f1248,plain,
( identity != inverse(inverse(identity))
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_15
| ~ spl12_22 ),
inference(trivial_inequality_removal,[],[f1244]) ).
fof(f1244,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_15
| ~ spl12_22 ),
inference(superposition,[],[f1218,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1218,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_15
| ~ spl12_22 ),
inference(forward_demodulation,[],[f1217,f1057]) ).
fof(f1057,plain,
( identity = sk_c6
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_22 ),
inference(backward_demodulation,[],[f533,f1052]) ).
fof(f1052,plain,
( identity = sk_c7
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_22 ),
inference(backward_demodulation,[],[f601,f407]) ).
fof(f407,plain,
( identity = sF3
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f406,plain,
( spl12_22
<=> identity = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).
fof(f601,plain,
( sk_c7 = sF3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10 ),
inference(forward_demodulation,[],[f134,f533]) ).
fof(f134,plain,
( sk_c6 = sF3
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl12_10
<=> sk_c6 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f533,plain,
( sk_c7 = sk_c6
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f528,f526]) ).
fof(f526,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl12_8 ),
inference(backward_demodulation,[],[f50,f123]) ).
fof(f123,plain,
( sk_c7 = sF6
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl12_8
<=> sk_c7 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f50,plain,
multiply(sk_c6,sk_c8) = sF6,
introduced(function_definition,[]) ).
fof(f528,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl12_5
| ~ spl12_7 ),
inference(backward_demodulation,[],[f516,f109]) ).
fof(f109,plain,
( sk_c6 = sF10
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl12_5
<=> sk_c6 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f516,plain,
( sk_c6 = multiply(sF10,sk_c8)
| ~ spl12_7 ),
inference(backward_demodulation,[],[f244,f118]) ).
fof(f118,plain,
( sk_c8 = sF11
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl12_7
<=> sk_c8 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f244,plain,
sk_c6 = multiply(sF10,sF11),
inference(forward_demodulation,[],[f237,f63]) ).
fof(f63,plain,
inverse(sk_c3) = sF10,
introduced(function_definition,[]) ).
fof(f237,plain,
sk_c6 = multiply(inverse(sk_c3),sF11),
inference(superposition,[],[f211,f67]) ).
fof(f67,plain,
multiply(sk_c3,sk_c6) = sF11,
introduced(function_definition,[]) ).
fof(f211,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f199,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f199,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f1217,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c6 != multiply(X4,identity) )
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_15
| ~ spl12_22 ),
inference(forward_demodulation,[],[f1216,f1052]) ).
fof(f1216,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| identity != inverse(X4) )
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_15
| ~ spl12_22 ),
inference(forward_demodulation,[],[f159,f1052]) ).
fof(f159,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl12_15
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f1232,plain,
( spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_12
| ~ spl12_18
| ~ spl12_19
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f1231]) ).
fof(f1231,plain,
( $false
| spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_12
| ~ spl12_18
| ~ spl12_19
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f1230,f715]) ).
fof(f715,plain,
( identity != sF8
| spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f103,f555]) ).
fof(f555,plain,
( identity = sk_c8
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f543,f2]) ).
fof(f543,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(backward_demodulation,[],[f525,f533]) ).
fof(f525,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c7)
| ~ spl12_8 ),
inference(backward_demodulation,[],[f233,f123]) ).
fof(f233,plain,
sk_c8 = multiply(inverse(sk_c6),sF6),
inference(superposition,[],[f211,f50]) ).
fof(f103,plain,
( sk_c8 != sF8
| spl12_4 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl12_4
<=> sk_c8 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f1230,plain,
( identity = sF8
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_12
| ~ spl12_18
| ~ spl12_19
| ~ spl12_22 ),
inference(forward_demodulation,[],[f1229,f1068]) ).
fof(f1229,plain,
( inverse(identity) = sF8
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22 ),
inference(backward_demodulation,[],[f53,f1225]) ).
fof(f1225,plain,
( identity = sk_c4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22 ),
inference(backward_demodulation,[],[f1194,f1223]) ).
fof(f1223,plain,
( identity = multiply(inverse(sF8),identity)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22 ),
inference(superposition,[],[f211,f1097]) ).
fof(f1097,plain,
( identity = multiply(sF8,identity)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22 ),
inference(forward_demodulation,[],[f720,f1052]) ).
fof(f720,plain,
( sk_c7 = multiply(sF8,identity)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_12 ),
inference(forward_demodulation,[],[f527,f555]) ).
fof(f527,plain,
( sk_c7 = multiply(sF8,sk_c8)
| ~ spl12_12 ),
inference(backward_demodulation,[],[f234,f53]) ).
fof(f234,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c8)
| ~ spl12_12 ),
inference(superposition,[],[f211,f189]) ).
fof(f189,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl12_12 ),
inference(backward_demodulation,[],[f51,f148]) ).
fof(f148,plain,
( sk_c8 = sF7
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl12_12
<=> sk_c8 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f51,plain,
multiply(sk_c4,sk_c7) = sF7,
introduced(function_definition,[]) ).
fof(f1194,plain,
sk_c4 = multiply(inverse(sF8),identity),
inference(superposition,[],[f211,f662]) ).
fof(f662,plain,
identity = multiply(sF8,sk_c4),
inference(superposition,[],[f2,f53]) ).
fof(f53,plain,
inverse(sk_c4) = sF8,
introduced(function_definition,[]) ).
fof(f1215,plain,
( ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_16
| ~ spl12_18
| ~ spl12_19
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f1214]) ).
fof(f1214,plain,
( $false
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_16
| ~ spl12_18
| ~ spl12_19
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f1213,f1068]) ).
fof(f1213,plain,
( identity != inverse(identity)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_16
| ~ spl12_18
| ~ spl12_19
| ~ spl12_22 ),
inference(forward_demodulation,[],[f1209,f1068]) ).
fof(f1209,plain,
( identity != inverse(inverse(identity))
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_16
| ~ spl12_22 ),
inference(trivial_inequality_removal,[],[f1200]) ).
fof(f1200,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_16
| ~ spl12_22 ),
inference(superposition,[],[f1190,f2]) ).
fof(f1190,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_16
| ~ spl12_22 ),
inference(forward_demodulation,[],[f1189,f1052]) ).
fof(f1189,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| identity != multiply(X7,identity) )
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_16
| ~ spl12_22 ),
inference(forward_demodulation,[],[f1188,f1052]) ).
fof(f1188,plain,
( ! [X7] :
( sk_c7 != multiply(X7,identity)
| sk_c7 != inverse(X7) )
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_16
| ~ spl12_22 ),
inference(forward_demodulation,[],[f162,f1057]) ).
fof(f162,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) )
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl12_16
<=> ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != multiply(X7,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f1187,plain,
( ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_17
| ~ spl12_18
| ~ spl12_19
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f1186]) ).
fof(f1186,plain,
( $false
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_17
| ~ spl12_18
| ~ spl12_19
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f1178,f1068]) ).
fof(f1178,plain,
( identity != inverse(identity)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_17
| ~ spl12_22 ),
inference(trivial_inequality_removal,[],[f1172]) ).
fof(f1172,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_17
| ~ spl12_22 ),
inference(superposition,[],[f1171,f1]) ).
fof(f1171,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_17
| ~ spl12_22 ),
inference(forward_demodulation,[],[f1170,f555]) ).
fof(f1170,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c8 != multiply(X5,identity) )
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_17
| ~ spl12_22 ),
inference(forward_demodulation,[],[f1169,f1057]) ).
fof(f1169,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c8 != multiply(X5,identity) )
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_17
| ~ spl12_22 ),
inference(forward_demodulation,[],[f165,f1057]) ).
fof(f165,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl12_17
<=> ! [X5] :
( sk_c8 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f1168,plain,
( ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_14
| ~ spl12_18
| ~ spl12_19
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f1167]) ).
fof(f1167,plain,
( $false
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_14
| ~ spl12_18
| ~ spl12_19
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f1166,f1068]) ).
fof(f1166,plain,
( identity != inverse(identity)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_14
| ~ spl12_18
| ~ spl12_19
| ~ spl12_22 ),
inference(forward_demodulation,[],[f1159,f1068]) ).
fof(f1159,plain,
( identity != inverse(inverse(identity))
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_14
| ~ spl12_22 ),
inference(trivial_inequality_removal,[],[f1155]) ).
fof(f1155,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_14
| ~ spl12_22 ),
inference(superposition,[],[f1136,f2]) ).
fof(f1136,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_14
| ~ spl12_22 ),
inference(forward_demodulation,[],[f1135,f555]) ).
fof(f1135,plain,
( ! [X6] :
( sk_c8 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_14
| ~ spl12_22 ),
inference(forward_demodulation,[],[f1134,f1052]) ).
fof(f1134,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_14 ),
inference(forward_demodulation,[],[f156,f555]) ).
fof(f156,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl12_14
<=> ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f1122,plain,
( ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_13
| ~ spl12_18
| ~ spl12_19
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f1121]) ).
fof(f1121,plain,
( $false
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_13
| ~ spl12_18
| ~ spl12_19
| ~ spl12_22 ),
inference(subsumption_resolution,[],[f1120,f1068]) ).
fof(f1120,plain,
( identity != inverse(identity)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_13
| ~ spl12_18
| ~ spl12_19
| ~ spl12_22 ),
inference(forward_demodulation,[],[f1081,f1068]) ).
fof(f1081,plain,
( identity != inverse(inverse(identity))
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_13
| ~ spl12_22 ),
inference(trivial_inequality_removal,[],[f1080]) ).
fof(f1080,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_13
| ~ spl12_22 ),
inference(superposition,[],[f1073,f2]) ).
fof(f1073,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_13
| ~ spl12_22 ),
inference(forward_demodulation,[],[f1072,f1052]) ).
fof(f1072,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,identity) )
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_13 ),
inference(forward_demodulation,[],[f1071,f555]) ).
fof(f1071,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| identity != inverse(X3) )
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_13 ),
inference(forward_demodulation,[],[f153,f555]) ).
fof(f153,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl12_13
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f1065,plain,
( spl12_19
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(avatar_split_clause,[],[f1017,f121,f116,f107,f89,f387]) ).
fof(f89,plain,
( spl12_1
<=> sk_c8 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f1017,plain,
( identity = sk_c1
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f1016,f2]) ).
fof(f1016,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f238,f1001]) ).
fof(f1001,plain,
( identity = sF1
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f91,f555]) ).
fof(f91,plain,
( sk_c8 = sF1
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f238,plain,
sk_c1 = multiply(inverse(sF1),identity),
inference(superposition,[],[f211,f192]) ).
fof(f192,plain,
identity = multiply(sF1,sk_c1),
inference(superposition,[],[f2,f41]) ).
fof(f41,plain,
inverse(sk_c1) = sF1,
introduced(function_definition,[]) ).
fof(f1042,plain,
( ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| spl12_22 ),
inference(avatar_contradiction_clause,[],[f1041]) ).
fof(f1041,plain,
( $false
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| spl12_22 ),
inference(subsumption_resolution,[],[f1040,f408]) ).
fof(f408,plain,
( identity != sF3
| spl12_22 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f1040,plain,
( identity = sF3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f926,f1013]) ).
fof(f1013,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f846,f778]) ).
fof(f778,plain,
( sk_c5 = sk_c2
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f519,f232]) ).
fof(f232,plain,
( sk_c5 = multiply(inverse(sk_c7),identity)
| ~ spl12_9 ),
inference(superposition,[],[f211,f194]) ).
fof(f194,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl12_9 ),
inference(superposition,[],[f2,f188]) ).
fof(f188,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl12_9 ),
inference(backward_demodulation,[],[f47,f129]) ).
fof(f129,plain,
( sk_c7 = sF5
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl12_9
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f47,plain,
inverse(sk_c5) = sF5,
introduced(function_definition,[]) ).
fof(f519,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl12_11 ),
inference(backward_demodulation,[],[f239,f139]) ).
fof(f139,plain,
( sk_c7 = sF4
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl12_11
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f239,plain,
sk_c2 = multiply(inverse(sF4),identity),
inference(superposition,[],[f211,f195]) ).
fof(f195,plain,
identity = multiply(sF4,sk_c2),
inference(superposition,[],[f2,f46]) ).
fof(f46,plain,
inverse(sk_c2) = sF4,
introduced(function_definition,[]) ).
fof(f846,plain,
( identity = multiply(sk_c2,sk_c7)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_11 ),
inference(backward_demodulation,[],[f833,f564]) ).
fof(f564,plain,
( sk_c2 = sk_c3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_11 ),
inference(forward_demodulation,[],[f563,f519]) ).
fof(f563,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f529,f533]) ).
fof(f529,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl12_5 ),
inference(backward_demodulation,[],[f240,f109]) ).
fof(f240,plain,
sk_c3 = multiply(inverse(sF10),identity),
inference(superposition,[],[f211,f196]) ).
fof(f196,plain,
identity = multiply(sF10,sk_c3),
inference(superposition,[],[f2,f63]) ).
fof(f833,plain,
( identity = multiply(sk_c3,sk_c7)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f541,f555]) ).
fof(f541,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(backward_demodulation,[],[f523,f533]) ).
fof(f523,plain,
( sk_c8 = multiply(sk_c3,sk_c6)
| ~ spl12_7 ),
inference(forward_demodulation,[],[f67,f118]) ).
fof(f926,plain,
( sF3 = multiply(sk_c5,sk_c7)
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f44,f778]) ).
fof(f44,plain,
multiply(sk_c2,sk_c7) = sF3,
introduced(function_definition,[]) ).
fof(f1038,plain,
( ~ spl12_3
| ~ spl12_5
| spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f1037]) ).
fof(f1037,plain,
( $false
| ~ spl12_3
| ~ spl12_5
| spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f1036,f1022]) ).
fof(f1022,plain,
( identity != sk_c7
| ~ spl12_5
| spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f113,f1021]) ).
fof(f1021,plain,
( identity = sF0
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f1020,f1013]) ).
fof(f1020,plain,
( sF0 = multiply(sk_c5,sk_c7)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f40,f533]) ).
fof(f40,plain,
multiply(sk_c5,sk_c6) = sF0,
introduced(function_definition,[]) ).
fof(f113,plain,
( sk_c7 != sF0
| spl12_6 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl12_6
<=> sk_c7 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f1036,plain,
( identity = sk_c7
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f720,f1035]) ).
fof(f1035,plain,
( ! [X0] : multiply(sF8,X0) = X0
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f661,f1027]) ).
fof(f1027,plain,
( ! [X12] : multiply(sk_c4,X12) = X12
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f1008,f1024]) ).
fof(f1024,plain,
( ! [X14] : multiply(sk_c1,X14) = X14
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(backward_demodulation,[],[f1015,f1023]) ).
fof(f1023,plain,
( ! [X15] : multiply(sk_c5,multiply(sk_c1,X15)) = X15
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f933,f1007]) ).
fof(f1007,plain,
( ! [X8] : multiply(sk_c1,X8) = multiply(sk_c7,X8)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f928,f100]) ).
fof(f100,plain,
( sk_c7 = sF9
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl12_3
<=> sk_c7 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f928,plain,
( ! [X8] : multiply(sF9,X8) = multiply(sk_c1,X8)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f716,f1]) ).
fof(f716,plain,
( ! [X8] : multiply(sk_c1,multiply(identity,X8)) = multiply(sF9,X8)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f200,f555]) ).
fof(f200,plain,
! [X8] : multiply(sF9,X8) = multiply(sk_c1,multiply(sk_c8,X8)),
inference(superposition,[],[f3,f55]) ).
fof(f55,plain,
multiply(sk_c1,sk_c8) = sF9,
introduced(function_definition,[]) ).
fof(f933,plain,
( ! [X15] : multiply(sk_c5,multiply(sk_c7,X15)) = X15
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f932,f1]) ).
fof(f932,plain,
( ! [X15] : multiply(sk_c5,multiply(sk_c7,X15)) = multiply(identity,X15)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f931,f555]) ).
fof(f931,plain,
( ! [X15] : multiply(sk_c5,multiply(sk_c7,X15)) = multiply(sk_c8,X15)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f540,f857]) ).
fof(f857,plain,
( sk_c5 = sk_c3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f564,f778]) ).
fof(f540,plain,
( ! [X15] : multiply(sk_c8,X15) = multiply(sk_c3,multiply(sk_c7,X15))
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(backward_demodulation,[],[f517,f533]) ).
fof(f517,plain,
( ! [X15] : multiply(sk_c3,multiply(sk_c6,X15)) = multiply(sk_c8,X15)
| ~ spl12_7 ),
inference(forward_demodulation,[],[f207,f118]) ).
fof(f207,plain,
! [X15] : multiply(sk_c3,multiply(sk_c6,X15)) = multiply(sF11,X15),
inference(superposition,[],[f3,f67]) ).
fof(f1015,plain,
( ! [X14] : multiply(sk_c1,X14) = multiply(sk_c5,multiply(sk_c1,X14))
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f1014,f1007]) ).
fof(f1014,plain,
( ! [X14] : multiply(sk_c7,X14) = multiply(sk_c5,multiply(sk_c7,X14))
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f927,f601]) ).
fof(f927,plain,
( ! [X14] : multiply(sk_c5,multiply(sk_c7,X14)) = multiply(sF3,X14)
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f206,f778]) ).
fof(f206,plain,
! [X14] : multiply(sk_c2,multiply(sk_c7,X14)) = multiply(sF3,X14),
inference(superposition,[],[f3,f44]) ).
fof(f1008,plain,
( ! [X12] : multiply(sk_c4,multiply(sk_c1,X12)) = X12
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_12 ),
inference(backward_demodulation,[],[f998,f1007]) ).
fof(f998,plain,
( ! [X12] : multiply(sk_c4,multiply(sk_c7,X12)) = X12
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_12 ),
inference(forward_demodulation,[],[f724,f1]) ).
fof(f724,plain,
( ! [X12] : multiply(identity,X12) = multiply(sk_c4,multiply(sk_c7,X12))
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_12 ),
inference(forward_demodulation,[],[f204,f555]) ).
fof(f204,plain,
( ! [X12] : multiply(sk_c4,multiply(sk_c7,X12)) = multiply(sk_c8,X12)
| ~ spl12_12 ),
inference(superposition,[],[f3,f189]) ).
fof(f661,plain,
! [X0] : multiply(sF8,multiply(sk_c4,X0)) = X0,
inference(superposition,[],[f211,f53]) ).
fof(f1012,plain,
( spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(avatar_contradiction_clause,[],[f1011]) ).
fof(f1011,plain,
( $false
| spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(subsumption_resolution,[],[f1010,f837]) ).
fof(f837,plain,
( sk_c7 != sF2
| spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(backward_demodulation,[],[f94,f533]) ).
fof(f94,plain,
( sk_c6 != sF2
| spl12_2 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl12_2
<=> sk_c6 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f1010,plain,
( sk_c7 = sF2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(backward_demodulation,[],[f747,f682]) ).
fof(f682,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(backward_demodulation,[],[f544,f555]) ).
fof(f544,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(backward_demodulation,[],[f526,f533]) ).
fof(f747,plain,
( sF2 = multiply(sk_c7,identity)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f43,f555]) ).
fof(f43,plain,
multiply(sk_c7,sk_c8) = sF2,
introduced(function_definition,[]) ).
fof(f922,plain,
( ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_19
| spl12_22 ),
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f921,plain,
( $false
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_19
| spl12_22 ),
inference(subsumption_resolution,[],[f920,f408]) ).
fof(f920,plain,
( identity = sF3
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_19 ),
inference(forward_demodulation,[],[f601,f740]) ).
fof(f740,plain,
( identity = sk_c7
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_19 ),
inference(forward_demodulation,[],[f100,f709]) ).
fof(f709,plain,
( identity = sF9
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_19 ),
inference(forward_demodulation,[],[f708,f1]) ).
fof(f708,plain,
( sF9 = multiply(identity,identity)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_19 ),
inference(forward_demodulation,[],[f707,f388]) ).
fof(f707,plain,
( multiply(sk_c1,identity) = sF9
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f55,f555]) ).
fof(f909,plain,
( spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_19 ),
inference(avatar_contradiction_clause,[],[f908]) ).
fof(f908,plain,
( $false
| spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_19 ),
inference(subsumption_resolution,[],[f907,f880]) ).
fof(f880,plain,
( identity != sF2
| spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_19 ),
inference(backward_demodulation,[],[f837,f740]) ).
fof(f907,plain,
( identity = sF2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_19 ),
inference(forward_demodulation,[],[f906,f1]) ).
fof(f906,plain,
( sF2 = multiply(identity,identity)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_19 ),
inference(forward_demodulation,[],[f747,f740]) ).
fof(f678,plain,
( ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14 ),
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f677,plain,
( $false
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f671,f645]) ).
fof(f645,plain,
( identity = inverse(identity)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(backward_demodulation,[],[f611,f642]) ).
fof(f642,plain,
( identity = sk_c5
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f641,f2]) ).
fof(f641,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f232,f605]) ).
fof(f605,plain,
( identity = sk_c7
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11 ),
inference(backward_demodulation,[],[f558,f602]) ).
fof(f602,plain,
( ! [X14] : multiply(sk_c7,X14) = X14
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11 ),
inference(backward_demodulation,[],[f568,f601]) ).
fof(f568,plain,
( ! [X14] : multiply(sF3,X14) = X14
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_11 ),
inference(backward_demodulation,[],[f206,f566]) ).
fof(f566,plain,
( ! [X15] : multiply(sk_c2,multiply(sk_c7,X15)) = X15
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_11 ),
inference(backward_demodulation,[],[f560,f564]) ).
fof(f560,plain,
( ! [X15] : multiply(sk_c3,multiply(sk_c7,X15)) = X15
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f559,f1]) ).
fof(f559,plain,
( ! [X15] : multiply(sk_c3,multiply(sk_c7,X15)) = multiply(identity,X15)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f540,f545]) ).
fof(f545,plain,
( identity = sk_c8
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f539,f2]) ).
fof(f539,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(backward_demodulation,[],[f231,f533]) ).
fof(f231,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl12_2 ),
inference(superposition,[],[f211,f190]) ).
fof(f190,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl12_2 ),
inference(backward_demodulation,[],[f43,f95]) ).
fof(f95,plain,
( sk_c6 = sF2
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f558,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f544,f545]) ).
fof(f611,plain,
( identity = inverse(sk_c5)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(backward_demodulation,[],[f188,f605]) ).
fof(f671,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14 ),
inference(trivial_inequality_removal,[],[f667]) ).
fof(f667,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14 ),
inference(superposition,[],[f625,f1]) ).
fof(f625,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14 ),
inference(backward_demodulation,[],[f582,f605]) ).
fof(f582,plain,
( ! [X6] :
( identity != multiply(X6,sk_c7)
| identity != inverse(X6) )
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_14 ),
inference(forward_demodulation,[],[f581,f545]) ).
fof(f581,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| identity != multiply(X6,sk_c7) )
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8
| ~ spl12_14 ),
inference(forward_demodulation,[],[f156,f545]) ).
fof(f594,plain,
( spl12_19
| ~ spl12_1
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(avatar_split_clause,[],[f593,f121,f116,f107,f93,f89,f387]) ).
fof(f593,plain,
( identity = sk_c1
| ~ spl12_1
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f588,f2]) ).
fof(f588,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl12_1
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(backward_demodulation,[],[f238,f586]) ).
fof(f586,plain,
( identity = sF1
| ~ spl12_1
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f91,f545]) ).
fof(f592,plain,
( spl12_18
| ~ spl12_1
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(avatar_split_clause,[],[f591,f121,f116,f107,f93,f89,f383]) ).
fof(f591,plain,
( identity = inverse(sk_c1)
| ~ spl12_1
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_8 ),
inference(backward_demodulation,[],[f41,f586]) ).
fof(f513,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_17 ),
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f512,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_17 ),
inference(subsumption_resolution,[],[f511,f323]) ).
fof(f323,plain,
( identity = inverse(identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f310,f321]) ).
fof(f321,plain,
( identity = sk_c5
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f312,f2]) ).
fof(f312,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f232,f305]) ).
fof(f305,plain,
( identity = sk_c7
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f274,f1]) ).
fof(f274,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f245,f260]) ).
fof(f260,plain,
( identity = sk_c8
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f258,f2]) ).
fof(f258,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c6)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f233,f257]) ).
fof(f257,plain,
( sk_c6 = sF6
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f50,f256]) ).
fof(f256,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f253,f247]) ).
fof(f247,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl12_6
| ~ spl12_9 ),
inference(forward_demodulation,[],[f235,f188]) ).
fof(f235,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c7)
| ~ spl12_6 ),
inference(superposition,[],[f211,f191]) ).
fof(f191,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl12_6 ),
inference(backward_demodulation,[],[f40,f114]) ).
fof(f114,plain,
( sk_c7 = sF0
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f253,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_12 ),
inference(superposition,[],[f202,f245]) ).
fof(f202,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c8,X10)) = multiply(sk_c6,X10)
| ~ spl12_2 ),
inference(superposition,[],[f3,f190]) ).
fof(f245,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl12_4
| ~ spl12_12 ),
inference(forward_demodulation,[],[f234,f187]) ).
fof(f187,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl12_4 ),
inference(backward_demodulation,[],[f53,f104]) ).
fof(f104,plain,
( sk_c8 = sF8
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f310,plain,
( identity = inverse(sk_c5)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f188,f305]) ).
fof(f511,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_17 ),
inference(forward_demodulation,[],[f502,f323]) ).
fof(f502,plain,
( identity != inverse(inverse(identity))
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_17 ),
inference(trivial_inequality_removal,[],[f498]) ).
fof(f498,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_17 ),
inference(superposition,[],[f486,f2]) ).
fof(f486,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_17 ),
inference(forward_demodulation,[],[f485,f260]) ).
fof(f485,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c8 != multiply(X5,identity) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_17 ),
inference(forward_demodulation,[],[f484,f316]) ).
fof(f316,plain,
( identity = sk_c6
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f286,f305]) ).
fof(f286,plain,
( sk_c7 = sk_c6
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f247,f282]) ).
fof(f282,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f281,f1]) ).
fof(f281,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,X0)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f278,f1]) ).
fof(f278,plain,
( ! [X0] : multiply(identity,multiply(identity,X0)) = multiply(sk_c7,X0)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f255,f260]) ).
fof(f255,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl12_4
| ~ spl12_12 ),
inference(superposition,[],[f3,f245]) ).
fof(f484,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c8 != multiply(X5,sk_c6) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_17 ),
inference(forward_demodulation,[],[f165,f316]) ).
fof(f483,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_16 ),
inference(avatar_contradiction_clause,[],[f482]) ).
fof(f482,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_16 ),
inference(subsumption_resolution,[],[f474,f323]) ).
fof(f474,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_16 ),
inference(trivial_inequality_removal,[],[f468]) ).
fof(f468,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_16 ),
inference(superposition,[],[f467,f1]) ).
fof(f467,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_16 ),
inference(forward_demodulation,[],[f466,f305]) ).
fof(f466,plain,
( ! [X7] :
( sk_c7 != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_16 ),
inference(forward_demodulation,[],[f465,f316]) ).
fof(f465,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| identity != inverse(X7) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_16 ),
inference(forward_demodulation,[],[f162,f305]) ).
fof(f461,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_15 ),
inference(avatar_contradiction_clause,[],[f460]) ).
fof(f460,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_15 ),
inference(subsumption_resolution,[],[f455,f323]) ).
fof(f455,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_15 ),
inference(trivial_inequality_removal,[],[f449]) ).
fof(f449,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_15 ),
inference(superposition,[],[f448,f1]) ).
fof(f448,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f447,f305]) ).
fof(f447,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f446,f316]) ).
fof(f446,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| sk_c7 != inverse(X4) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f159,f305]) ).
fof(f440,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_14 ),
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f439,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f438,f323]) ).
fof(f438,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_14 ),
inference(forward_demodulation,[],[f432,f323]) ).
fof(f432,plain,
( identity != inverse(inverse(identity))
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_14 ),
inference(trivial_inequality_removal,[],[f428]) ).
fof(f428,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_14 ),
inference(superposition,[],[f416,f2]) ).
fof(f416,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_14 ),
inference(forward_demodulation,[],[f415,f260]) ).
fof(f415,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_14 ),
inference(forward_demodulation,[],[f414,f260]) ).
fof(f414,plain,
( ! [X6] :
( sk_c8 != multiply(X6,identity)
| sk_c8 != inverse(X6) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_14 ),
inference(forward_demodulation,[],[f156,f305]) ).
fof(f395,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f394,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f380,f323]) ).
fof(f380,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_13 ),
inference(trivial_inequality_removal,[],[f374]) ).
fof(f374,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_13 ),
inference(superposition,[],[f347,f1]) ).
fof(f347,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_13 ),
inference(forward_demodulation,[],[f346,f305]) ).
fof(f346,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,identity) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_13 ),
inference(forward_demodulation,[],[f345,f260]) ).
fof(f345,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12
| ~ spl12_13 ),
inference(forward_demodulation,[],[f153,f260]) ).
fof(f296,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| spl12_8
| ~ spl12_9
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f295]) ).
fof(f295,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| spl12_8
| ~ spl12_9
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f292,f122]) ).
fof(f122,plain,
( sk_c7 != sF6
| spl12_8 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f292,plain,
( sk_c7 = sF6
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f257,f286]) ).
fof(f186,plain,
( spl12_12
| spl12_7 ),
inference(avatar_split_clause,[],[f72,f116,f146]) ).
fof(f72,plain,
( sk_c8 = sF11
| sk_c8 = sF7 ),
inference(definition_folding,[],[f31,f51,f67]) ).
fof(f31,axiom,
( sk_c8 = multiply(sk_c3,sk_c6)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f185,plain,
( spl12_12
| spl12_1 ),
inference(avatar_split_clause,[],[f71,f89,f146]) ).
fof(f71,plain,
( sk_c8 = sF1
| sk_c8 = sF7 ),
inference(definition_folding,[],[f11,f41,f51]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f184,plain,
( spl12_8
| spl12_12 ),
inference(avatar_split_clause,[],[f52,f146,f121]) ).
fof(f52,plain,
( sk_c8 = sF7
| sk_c7 = sF6 ),
inference(definition_folding,[],[f26,f51,f50]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f183,plain,
( spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f73,f112,f107]) ).
fof(f73,plain,
( sk_c7 = sF0
| sk_c6 = sF10 ),
inference(definition_folding,[],[f38,f40,f63]) ).
fof(f38,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f182,plain,
( spl12_7
| spl12_2 ),
inference(avatar_split_clause,[],[f78,f93,f116]) ).
fof(f78,plain,
( sk_c6 = sF2
| sk_c8 = sF11 ),
inference(definition_folding,[],[f29,f67,f43]) ).
fof(f29,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f181,plain,
( spl12_2
| spl12_5 ),
inference(avatar_split_clause,[],[f64,f107,f93]) ).
fof(f64,plain,
( sk_c6 = sF10
| sk_c6 = sF2 ),
inference(definition_folding,[],[f34,f43,f63]) ).
fof(f34,axiom,
( sk_c6 = inverse(sk_c3)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f180,plain,
( spl12_3
| spl12_9 ),
inference(avatar_split_clause,[],[f70,f127,f98]) ).
fof(f70,plain,
( sk_c7 = sF5
| sk_c7 = sF9 ),
inference(definition_folding,[],[f7,f47,f55]) ).
fof(f7,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f178,plain,
( spl12_5
| spl12_9 ),
inference(avatar_split_clause,[],[f84,f127,f107]) ).
fof(f84,plain,
( sk_c7 = sF5
| sk_c6 = sF10 ),
inference(definition_folding,[],[f37,f63,f47]) ).
fof(f37,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f177,plain,
( spl12_1
| spl12_4 ),
inference(avatar_split_clause,[],[f81,f102,f89]) ).
fof(f81,plain,
( sk_c8 = sF8
| sk_c8 = sF1 ),
inference(definition_folding,[],[f10,f41,f53]) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f176,plain,
( spl12_11
| spl12_4 ),
inference(avatar_split_clause,[],[f57,f102,f137]) ).
fof(f57,plain,
( sk_c8 = sF8
| sk_c7 = sF4 ),
inference(definition_folding,[],[f20,f46,f53]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f175,plain,
( spl12_12
| spl12_10 ),
inference(avatar_split_clause,[],[f74,f132,f146]) ).
fof(f74,plain,
( sk_c6 = sF3
| sk_c8 = sF7 ),
inference(definition_folding,[],[f16,f51,f44]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f174,plain,
( spl12_12
| spl12_5 ),
inference(avatar_split_clause,[],[f77,f107,f146]) ).
fof(f77,plain,
( sk_c6 = sF10
| sk_c8 = sF7 ),
inference(definition_folding,[],[f36,f63,f51]) ).
fof(f36,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f173,plain,
( spl12_4
| spl12_7 ),
inference(avatar_split_clause,[],[f68,f116,f102]) ).
fof(f68,plain,
( sk_c8 = sF11
| sk_c8 = sF8 ),
inference(definition_folding,[],[f30,f53,f67]) ).
fof(f30,axiom,
( sk_c8 = multiply(sk_c3,sk_c6)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f172,plain,
( spl12_6
| spl12_3 ),
inference(avatar_split_clause,[],[f56,f98,f112]) ).
fof(f56,plain,
( sk_c7 = sF9
| sk_c7 = sF0 ),
inference(definition_folding,[],[f8,f55,f40]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f171,plain,
( spl12_11
| spl12_12 ),
inference(avatar_split_clause,[],[f75,f146,f137]) ).
fof(f75,plain,
( sk_c8 = sF7
| sk_c7 = sF4 ),
inference(definition_folding,[],[f21,f46,f51]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f170,plain,
( spl12_9
| spl12_7 ),
inference(avatar_split_clause,[],[f79,f116,f127]) ).
fof(f79,plain,
( sk_c8 = sF11
| sk_c7 = sF5 ),
inference(definition_folding,[],[f32,f67,f47]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f169,plain,
( spl12_6
| spl12_8 ),
inference(avatar_split_clause,[],[f61,f121,f112]) ).
fof(f61,plain,
( sk_c7 = sF6
| sk_c7 = sF0 ),
inference(definition_folding,[],[f28,f50,f40]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f168,plain,
( spl12_8
| spl12_9 ),
inference(avatar_split_clause,[],[f85,f127,f121]) ).
fof(f85,plain,
( sk_c7 = sF5
| sk_c7 = sF6 ),
inference(definition_folding,[],[f27,f47,f50]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f166,plain,
( spl12_13
| ~ spl12_2
| ~ spl12_8
| spl12_14
| spl12_15
| spl12_16
| spl12_17 ),
inference(avatar_split_clause,[],[f65,f164,f161,f158,f155,f121,f93,f152]) ).
fof(f65,plain,
! [X3,X6,X7,X4,X5] :
( sk_c8 != multiply(X5,sk_c6)
| sk_c7 != inverse(X7)
| sk_c6 != multiply(X4,sk_c7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c7 != sF6
| sk_c6 != sF2
| sk_c7 != multiply(X7,sk_c6)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c7 != inverse(X4) ),
inference(definition_folding,[],[f39,f50,f43]) ).
fof(f39,axiom,
! [X3,X6,X7,X4,X5] :
( multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != multiply(X5,sk_c6)
| sk_c8 != inverse(X3)
| sk_c7 != inverse(X7)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c8 != multiply(X6,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c8 != inverse(X6)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7)
| sk_c6 != inverse(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f143,plain,
( spl12_10
| spl12_9 ),
inference(avatar_split_clause,[],[f83,f127,f132]) ).
fof(f83,plain,
( sk_c7 = sF5
| sk_c6 = sF3 ),
inference(definition_folding,[],[f17,f44,f47]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f142,plain,
( spl12_6
| spl12_10 ),
inference(avatar_split_clause,[],[f87,f132,f112]) ).
fof(f87,plain,
( sk_c6 = sF3
| sk_c7 = sF0 ),
inference(definition_folding,[],[f18,f40,f44]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f140,plain,
( spl12_11
| spl12_6 ),
inference(avatar_split_clause,[],[f49,f112,f137]) ).
fof(f49,plain,
( sk_c7 = sF0
| sk_c7 = sF4 ),
inference(definition_folding,[],[f23,f40,f46]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f135,plain,
( spl12_4
| spl12_10 ),
inference(avatar_split_clause,[],[f54,f132,f102]) ).
fof(f54,plain,
( sk_c6 = sF3
| sk_c8 = sF8 ),
inference(definition_folding,[],[f15,f44,f53]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f130,plain,
( spl12_1
| spl12_9 ),
inference(avatar_split_clause,[],[f69,f127,f89]) ).
fof(f69,plain,
( sk_c7 = sF5
| sk_c8 = sF1 ),
inference(definition_folding,[],[f12,f47,f41]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f125,plain,
( spl12_8
| spl12_2 ),
inference(avatar_split_clause,[],[f59,f93,f121]) ).
fof(f59,plain,
( sk_c6 = sF2
| sk_c7 = sF6 ),
inference(definition_folding,[],[f24,f43,f50]) ).
fof(f24,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f124,plain,
( spl12_8
| spl12_4 ),
inference(avatar_split_clause,[],[f66,f102,f121]) ).
fof(f66,plain,
( sk_c8 = sF8
| sk_c7 = sF6 ),
inference(definition_folding,[],[f25,f50,f53]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f119,plain,
( spl12_6
| spl12_7 ),
inference(avatar_split_clause,[],[f82,f116,f112]) ).
fof(f82,plain,
( sk_c8 = sF11
| sk_c7 = sF0 ),
inference(definition_folding,[],[f33,f67,f40]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f110,plain,
( spl12_5
| spl12_4 ),
inference(avatar_split_clause,[],[f86,f102,f107]) ).
fof(f86,plain,
( sk_c8 = sF8
| sk_c6 = sF10 ),
inference(definition_folding,[],[f35,f53,f63]) ).
fof(f35,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP259-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:47:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (25366)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)
% 0.20/0.47 % (25376)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)
% 0.20/0.47 % (25376)Instruction limit reached!
% 0.20/0.47 % (25376)------------------------------
% 0.20/0.47 % (25376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (25376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (25376)Termination reason: Unknown
% 0.20/0.47 % (25376)Termination phase: Property scanning
% 0.20/0.47
% 0.20/0.47 % (25376)Memory used [KB]: 1279
% 0.20/0.47 % (25376)Time elapsed: 0.003 s
% 0.20/0.47 % (25376)Instructions burned: 2 (million)
% 0.20/0.47 % (25376)------------------------------
% 0.20/0.47 % (25376)------------------------------
% 0.20/0.52 % (25362)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)
% 0.20/0.53 % (25366)Instruction limit reached!
% 0.20/0.53 % (25366)------------------------------
% 0.20/0.53 % (25366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (25366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (25366)Termination reason: Unknown
% 0.20/0.53 % (25366)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (25366)Memory used [KB]: 1535
% 0.20/0.53 % (25366)Time elapsed: 0.110 s
% 0.20/0.53 % (25366)Instructions burned: 49 (million)
% 0.20/0.53 % (25366)------------------------------
% 0.20/0.53 % (25366)------------------------------
% 0.20/0.53 % (25361)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)
% 0.20/0.53 % (25388)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)
% 0.20/0.53 % (25363)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)
% 0.20/0.53 % (25389)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)
% 0.20/0.53 % (25364)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)
% 0.20/0.53 % (25360)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53 % (25365)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53 % (25367)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)
% 0.20/0.53 % (25364)Refutation not found, incomplete strategy% (25364)------------------------------
% 0.20/0.53 % (25364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (25364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (25364)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (25364)Memory used [KB]: 5884
% 0.20/0.53 % (25364)Time elapsed: 0.135 s
% 0.20/0.53 % (25364)Instructions burned: 4 (million)
% 0.20/0.53 % (25364)------------------------------
% 0.20/0.53 % (25364)------------------------------
% 0.20/0.53 % (25370)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)
% 0.20/0.53 % (25377)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53 % (25367)Refutation not found, incomplete strategy% (25367)------------------------------
% 0.20/0.53 % (25367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (25379)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)
% 0.20/0.53 % (25375)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)
% 0.20/0.54 % (25380)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)
% 0.20/0.54 % (25385)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)
% 0.20/0.54 % (25363)Refutation not found, incomplete strategy% (25363)------------------------------
% 0.20/0.54 % (25363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (25381)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)
% 0.20/0.54 % (25372)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)
% 0.20/0.54 % (25374)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)
% 0.20/0.54 % (25382)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)
% 0.20/0.54 % (25386)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)
% 0.20/0.54 % (25388)Refutation not found, incomplete strategy% (25388)------------------------------
% 0.20/0.54 % (25388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (25368)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)
% 0.20/0.54 % (25369)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)
% 0.20/0.54 % (25362)Instruction limit reached!
% 0.20/0.54 % (25362)------------------------------
% 0.20/0.54 % (25362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (25362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (25362)Termination reason: Unknown
% 0.20/0.54 % (25362)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (25362)Memory used [KB]: 5884
% 0.20/0.54 % (25362)Time elapsed: 0.143 s
% 0.20/0.54 % (25371)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)
% 0.20/0.54 % (25362)Instructions burned: 5 (million)
% 0.20/0.54 % (25362)------------------------------
% 0.20/0.54 % (25362)------------------------------
% 0.20/0.54 % (25384)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)
% 0.20/0.54 % (25367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (25367)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (25367)Memory used [KB]: 5884
% 0.20/0.54 % (25367)Time elapsed: 0.136 s
% 0.20/0.54 % (25367)Instructions burned: 4 (million)
% 0.20/0.54 % (25367)------------------------------
% 0.20/0.54 % (25367)------------------------------
% 0.20/0.54 % (25388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (25388)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (25388)Memory used [KB]: 5884
% 0.20/0.54 % (25388)Time elapsed: 0.140 s
% 0.20/0.54 % (25388)Instructions burned: 4 (million)
% 0.20/0.54 % (25388)------------------------------
% 0.20/0.54 % (25388)------------------------------
% 0.20/0.54 % (25378)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)
% 0.20/0.54 % (25363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (25363)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (25372)Instruction limit reached!
% 0.20/0.54 % (25372)------------------------------
% 0.20/0.54 % (25372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (25372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (25363)Memory used [KB]: 5884
% 0.20/0.54 % (25363)Time elapsed: 0.133 s
% 0.20/0.54 % (25380)Instruction limit reached!
% 0.20/0.54 % (25380)------------------------------
% 0.20/0.54 % (25380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (25380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (25380)Termination reason: Unknown
% 0.20/0.54 % (25380)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (25380)Memory used [KB]: 1407
% 0.20/0.54 % (25380)Time elapsed: 0.006 s
% 0.20/0.54 % (25380)Instructions burned: 6 (million)
% 0.20/0.54 % (25380)------------------------------
% 0.20/0.54 % (25380)------------------------------
% 0.20/0.54 % (25363)Instructions burned: 3 (million)
% 0.20/0.54 % (25363)------------------------------
% 0.20/0.54 % (25363)------------------------------
% 0.20/0.54 % (25372)Termination reason: Unknown
% 0.20/0.54 % (25372)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (25372)Memory used [KB]: 5884
% 0.20/0.54 % (25372)Time elapsed: 0.151 s
% 0.20/0.54 % (25372)Instructions burned: 5 (million)
% 0.20/0.54 % (25372)------------------------------
% 0.20/0.54 % (25372)------------------------------
% 0.20/0.54 % (25387)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)
% 0.20/0.54 % (25383)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)
% 0.20/0.55 % (25373)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)
% 0.20/0.55 % (25381)Refutation not found, incomplete strategy% (25381)------------------------------
% 0.20/0.55 % (25381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (25379)Instruction limit reached!
% 0.20/0.55 % (25379)------------------------------
% 0.20/0.55 % (25379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (25373)Instruction limit reached!
% 0.20/0.55 % (25373)------------------------------
% 0.20/0.55 % (25373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (25386)Refutation not found, incomplete strategy% (25386)------------------------------
% 0.20/0.55 % (25386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (25383)Refutation not found, incomplete strategy% (25383)------------------------------
% 0.20/0.55 % (25383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.55 % (25370)Instruction limit reached!
% 1.59/0.55 % (25370)------------------------------
% 1.59/0.55 % (25370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.55 % (25368)Instruction limit reached!
% 1.59/0.55 % (25368)------------------------------
% 1.59/0.55 % (25368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.55 % (25368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.55 % (25368)Termination reason: Unknown
% 1.59/0.55 % (25368)Termination phase: Saturation
% 1.59/0.55
% 1.59/0.55 % (25368)Memory used [KB]: 5884
% 1.59/0.55 % (25368)Time elapsed: 0.005 s
% 1.59/0.55 % (25368)Instructions burned: 3 (million)
% 1.59/0.55 % (25368)------------------------------
% 1.59/0.55 % (25368)------------------------------
% 1.59/0.55 % (25379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.55 % (25379)Termination reason: Unknown
% 1.59/0.55 % (25379)Termination phase: Saturation
% 1.59/0.55
% 1.59/0.55 % (25379)Memory used [KB]: 6012
% 1.59/0.55 % (25379)Time elapsed: 0.151 s
% 1.59/0.55 % (25379)Instructions burned: 7 (million)
% 1.59/0.55 % (25379)------------------------------
% 1.59/0.55 % (25379)------------------------------
% 1.59/0.56 % (25381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56 % (25381)Termination reason: Refutation not found, incomplete strategy
% 1.59/0.56
% 1.59/0.56 % (25381)Memory used [KB]: 5884
% 1.59/0.56 % (25381)Time elapsed: 0.149 s
% 1.59/0.56 % (25381)Instructions burned: 3 (million)
% 1.59/0.56 % (25381)------------------------------
% 1.59/0.56 % (25381)------------------------------
% 1.59/0.56 % (25373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56 % (25373)Termination reason: Unknown
% 1.59/0.56 % (25373)Termination phase: Saturation
% 1.59/0.56
% 1.59/0.56 % (25373)Memory used [KB]: 5884
% 1.59/0.56 % (25373)Time elapsed: 0.004 s
% 1.59/0.56 % (25373)Instructions burned: 3 (million)
% 1.59/0.56 % (25373)------------------------------
% 1.59/0.56 % (25373)------------------------------
% 1.59/0.56 % (25375)Instruction limit reached!
% 1.59/0.56 % (25375)------------------------------
% 1.59/0.56 % (25375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56 % (25375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56 % (25375)Termination reason: Unknown
% 1.59/0.56 % (25375)Termination phase: Finite model building preprocessing
% 1.59/0.56
% 1.59/0.56 % (25375)Memory used [KB]: 6012
% 1.59/0.56 % (25375)Time elapsed: 0.005 s
% 1.59/0.56 % (25375)Instructions burned: 7 (million)
% 1.59/0.56 % (25375)------------------------------
% 1.59/0.56 % (25375)------------------------------
% 1.59/0.56 % (25377)Instruction limit reached!
% 1.59/0.56 % (25377)------------------------------
% 1.59/0.56 % (25377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56 % (25377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56 % (25377)Termination reason: Unknown
% 1.59/0.56 % (25377)Termination phase: Saturation
% 1.59/0.56
% 1.59/0.56 % (25377)Memory used [KB]: 6012
% 1.59/0.56 % (25377)Time elapsed: 0.160 s
% 1.59/0.56 % (25377)Instructions burned: 10 (million)
% 1.59/0.56 % (25377)------------------------------
% 1.59/0.56 % (25377)------------------------------
% 1.59/0.56 % (25386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56 % (25386)Termination reason: Refutation not found, incomplete strategy
% 1.59/0.56
% 1.59/0.56 % (25386)Memory used [KB]: 5884
% 1.59/0.56 % (25386)Time elapsed: 0.161 s
% 1.59/0.56 % (25386)Instructions burned: 3 (million)
% 1.59/0.56 % (25386)------------------------------
% 1.59/0.56 % (25386)------------------------------
% 1.59/0.56 % (25370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56 % (25370)Termination reason: Unknown
% 1.59/0.56 % (25370)Termination phase: Saturation
% 1.59/0.56
% 1.59/0.56 % (25370)Memory used [KB]: 6012
% 1.59/0.56 % (25370)Time elapsed: 0.158 s
% 1.59/0.56 % (25370)Instructions burned: 8 (million)
% 1.59/0.56 % (25370)------------------------------
% 1.59/0.56 % (25370)------------------------------
% 1.59/0.56 % (25365)Instruction limit reached!
% 1.59/0.56 % (25365)------------------------------
% 1.59/0.56 % (25365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56 % (25365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56 % (25365)Termination reason: Unknown
% 1.59/0.56 % (25365)Termination phase: Saturation
% 1.59/0.56
% 1.59/0.56 % (25365)Memory used [KB]: 6140
% 1.59/0.56 % (25365)Time elapsed: 0.149 s
% 1.59/0.56 % (25365)Instructions burned: 25 (million)
% 1.59/0.56 % (25365)------------------------------
% 1.59/0.56 % (25365)------------------------------
% 1.59/0.57 % (25383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57 % (25383)Termination reason: Refutation not found, incomplete strategy
% 1.59/0.57
% 1.59/0.57 % (25383)Memory used [KB]: 5884
% 1.59/0.57 % (25383)Time elapsed: 0.157 s
% 1.59/0.57 % (25383)Instructions burned: 3 (million)
% 1.59/0.57 % (25383)------------------------------
% 1.59/0.57 % (25383)------------------------------
% 1.59/0.57 % (25371)Instruction limit reached!
% 1.59/0.57 % (25371)------------------------------
% 1.59/0.57 % (25371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57 % (25371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57 % (25371)Termination reason: Unknown
% 1.59/0.57 % (25371)Termination phase: Saturation
% 1.59/0.57
% 1.59/0.57 % (25371)Memory used [KB]: 6268
% 1.59/0.57 % (25371)Time elapsed: 0.158 s
% 1.59/0.57 % (25371)Instructions burned: 24 (million)
% 1.59/0.57 % (25371)------------------------------
% 1.59/0.57 % (25371)------------------------------
% 1.59/0.57 % (25374)Instruction limit reached!
% 1.59/0.57 % (25374)------------------------------
% 1.59/0.57 % (25374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57 % (25374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57 % (25374)Termination reason: Unknown
% 1.59/0.57 % (25374)Termination phase: Saturation
% 1.59/0.57
% 1.59/0.57 % (25374)Memory used [KB]: 1663
% 1.59/0.57 % (25374)Time elapsed: 0.134 s
% 1.59/0.57 % (25374)Instructions burned: 30 (million)
% 1.59/0.57 % (25374)------------------------------
% 1.59/0.57 % (25374)------------------------------
% 1.76/0.58 % (25378)Instruction limit reached!
% 1.76/0.58 % (25378)------------------------------
% 1.76/0.58 % (25378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.58 % (25378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.58 % (25378)Termination reason: Unknown
% 1.76/0.58 % (25378)Termination phase: Saturation
% 1.76/0.58
% 1.76/0.58 % (25378)Memory used [KB]: 10618
% 1.76/0.58 % (25378)Time elapsed: 0.164 s
% 1.76/0.58 % (25378)Instructions burned: 28 (million)
% 1.76/0.58 % (25378)------------------------------
% 1.76/0.58 % (25378)------------------------------
% 1.76/0.60 % (25360)First to succeed.
% 1.76/0.60 % (25361)Instruction limit reached!
% 1.76/0.60 % (25361)------------------------------
% 1.76/0.60 % (25361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60 % (25361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60 % (25361)Termination reason: Unknown
% 1.76/0.60 % (25361)Termination phase: Saturation
% 1.76/0.60
% 1.76/0.60 % (25361)Memory used [KB]: 1791
% 1.76/0.60 % (25361)Time elapsed: 0.205 s
% 1.76/0.60 % (25361)Instructions burned: 44 (million)
% 1.76/0.60 % (25361)------------------------------
% 1.76/0.60 % (25361)------------------------------
% 1.76/0.61 % (25384)Instruction limit reached!
% 1.76/0.61 % (25384)------------------------------
% 1.76/0.61 % (25384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61 % (25384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61 % (25384)Termination reason: Unknown
% 1.76/0.61 % (25384)Termination phase: Saturation
% 1.76/0.61
% 1.76/0.61 % (25384)Memory used [KB]: 6780
% 1.76/0.61 % (25384)Time elapsed: 0.201 s
% 1.76/0.61 % (25384)Instructions burned: 47 (million)
% 1.76/0.61 % (25384)------------------------------
% 1.76/0.61 % (25384)------------------------------
% 1.76/0.62 % (25360)Refutation found. Thanks to Tanya!
% 1.76/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.76/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.63 % (25360)------------------------------
% 1.76/0.63 % (25360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.63 % (25360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.63 % (25360)Termination reason: Refutation
% 1.76/0.63
% 1.76/0.63 % (25360)Memory used [KB]: 6396
% 1.76/0.63 % (25360)Time elapsed: 0.188 s
% 1.76/0.63 % (25360)Instructions burned: 39 (million)
% 1.76/0.63 % (25360)------------------------------
% 1.76/0.63 % (25360)------------------------------
% 1.76/0.63 % (25359)Success in time 0.282 s
%------------------------------------------------------------------------------