TSTP Solution File: GRP322-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP322-1 : 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_sat --cores 0 -t %d %s
% Computer : n007.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 16:21:17 EDT 2022
% Result : Unsatisfiable 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 70
% Syntax : Number of formulae : 359 ( 28 unt; 0 def)
% Number of atoms : 1420 ( 445 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 2052 ( 991 ~;1043 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 22 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1244,plain,
$false,
inference(avatar_sat_refutation,[],[f100,f105,f110,f115,f120,f125,f126,f131,f132,f141,f146,f147,f148,f149,f150,f151,f152,f153,f158,f159,f160,f161,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f272,f396,f412,f449,f618,f631,f766,f1124,f1161,f1182,f1186,f1221,f1237,f1243]) ).
fof(f1243,plain,
( ~ spl12_1
| spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f1242]) ).
fof(f1242,plain,
( $false
| ~ spl12_1
| spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f1241,f1238]) ).
fof(f1238,plain,
( identity != sF9
| ~ spl12_1
| spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f98,f1154]) ).
fof(f1154,plain,
( identity = sk_c7
| ~ spl12_1
| ~ spl12_6
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f1113,f1135]) ).
fof(f1135,plain,
( identity = sk_c8
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1131,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1131,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f1110,f994]) ).
fof(f994,plain,
( sk_c8 = sk_c9
| ~ spl12_1
| ~ spl12_6
| ~ spl12_11 ),
inference(forward_demodulation,[],[f467,f450]) ).
fof(f450,plain,
( sk_c8 = multiply(sk_c9,sk_c6)
| ~ spl12_11 ),
inference(forward_demodulation,[],[f44,f145]) ).
fof(f145,plain,
( sk_c8 = sF1
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl12_11
<=> sk_c8 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f44,plain,
multiply(sk_c9,sk_c6) = sF1,
introduced(function_definition,[]) ).
fof(f467,plain,
( sk_c9 = multiply(sk_c9,sk_c6)
| ~ spl12_1
| ~ spl12_6 ),
inference(backward_demodulation,[],[f465,f95]) ).
fof(f95,plain,
( sk_c9 = sF10
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl12_1
<=> sk_c9 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f465,plain,
( sk_c9 = multiply(sF10,sk_c6)
| ~ spl12_6 ),
inference(backward_demodulation,[],[f341,f119]) ).
fof(f119,plain,
( sk_c6 = sF11
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl12_6
<=> sk_c6 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f341,plain,
sk_c9 = multiply(sF10,sF11),
inference(forward_demodulation,[],[f240,f59]) ).
fof(f59,plain,
inverse(sk_c5) = sF10,
introduced(function_definition,[]) ).
fof(f240,plain,
sk_c9 = multiply(inverse(sk_c5),sF11),
inference(superposition,[],[f211,f66]) ).
fof(f66,plain,
multiply(sk_c5,sk_c9) = sF11,
introduced(function_definition,[]) ).
fof(f211,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f198,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f198,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,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(f1110,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c8)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f658,f1011]) ).
fof(f1011,plain,
( sk_c8 = sk_c6
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f1000,f1010]) ).
fof(f1010,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f768,f994]) ).
fof(f768,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| ~ spl12_12 ),
inference(forward_demodulation,[],[f47,f157]) ).
fof(f157,plain,
( sk_c8 = sF3
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl12_12
<=> sk_c8 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f47,plain,
multiply(sk_c4,sk_c9) = sF3,
introduced(function_definition,[]) ).
fof(f1000,plain,
( sk_c6 = multiply(sk_c4,sk_c8)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f475,f994]) ).
fof(f475,plain,
( multiply(sk_c4,sk_c9) = sk_c6
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9 ),
inference(backward_demodulation,[],[f466,f472]) ).
fof(f472,plain,
( sk_c4 = sk_c5
| ~ spl12_1
| ~ spl12_9 ),
inference(forward_demodulation,[],[f468,f452]) ).
fof(f452,plain,
( sk_c4 = multiply(inverse(sk_c9),identity)
| ~ spl12_9 ),
inference(backward_demodulation,[],[f243,f136]) ).
fof(f136,plain,
( sk_c9 = sF7
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl12_9
<=> sk_c9 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f243,plain,
sk_c4 = multiply(inverse(sF7),identity),
inference(superposition,[],[f211,f192]) ).
fof(f192,plain,
identity = multiply(sF7,sk_c4),
inference(superposition,[],[f2,f53]) ).
fof(f53,plain,
inverse(sk_c4) = sF7,
introduced(function_definition,[]) ).
fof(f468,plain,
( sk_c5 = multiply(inverse(sk_c9),identity)
| ~ spl12_1 ),
inference(backward_demodulation,[],[f244,f95]) ).
fof(f244,plain,
sk_c5 = multiply(inverse(sF10),identity),
inference(superposition,[],[f211,f193]) ).
fof(f193,plain,
identity = multiply(sF10,sk_c5),
inference(superposition,[],[f2,f59]) ).
fof(f466,plain,
( sk_c6 = multiply(sk_c5,sk_c9)
| ~ spl12_6 ),
inference(backward_demodulation,[],[f66,f119]) ).
fof(f658,plain,
( sk_c6 = multiply(inverse(sk_c9),sk_c8)
| ~ spl12_11 ),
inference(forward_demodulation,[],[f236,f145]) ).
fof(f236,plain,
sk_c6 = multiply(inverse(sk_c9),sF1),
inference(superposition,[],[f211,f44]) ).
fof(f1113,plain,
( sk_c8 = sk_c7
| ~ spl12_1
| ~ spl12_6
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f130,f1017]) ).
fof(f1017,plain,
( sk_c8 = sF5
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1016,f1012]) ).
fof(f1012,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f996,f1011]) ).
fof(f996,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_11 ),
inference(backward_demodulation,[],[f450,f994]) ).
fof(f1016,plain,
( multiply(sk_c8,sk_c8) = sF5
| ~ spl12_1
| ~ spl12_6
| ~ spl12_11 ),
inference(forward_demodulation,[],[f50,f994]) ).
fof(f50,plain,
multiply(sk_c9,sk_c8) = sF5,
introduced(function_definition,[]) ).
fof(f130,plain,
( sk_c7 = sF5
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl12_8
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f98,plain,
( sk_c7 != sF9
| spl12_2 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl12_2
<=> sk_c7 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f1241,plain,
( identity = sF9
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1240,f1]) ).
fof(f1240,plain,
( sF9 = multiply(identity,identity)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1239,f1135]) ).
fof(f1239,plain,
( sF9 = multiply(sk_c8,identity)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f57,f1140]) ).
fof(f1140,plain,
( identity = sk_c9
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f994,f1135]) ).
fof(f57,plain,
multiply(sk_c8,sk_c9) = sF9,
introduced(function_definition,[]) ).
fof(f1237,plain,
( ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_17 ),
inference(avatar_contradiction_clause,[],[f1236]) ).
fof(f1236,plain,
( $false
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_17 ),
inference(subsumption_resolution,[],[f1230,f1184]) ).
fof(f1184,plain,
( identity = inverse(identity)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_17 ),
inference(forward_demodulation,[],[f383,f1168]) ).
fof(f1168,plain,
( identity = sk_c4
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1141,f2]) ).
fof(f1141,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f999,f1135]) ).
fof(f999,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f452,f994]) ).
fof(f383,plain,
( identity = inverse(sk_c4)
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f382,plain,
( spl12_17
<=> identity = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f1230,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(trivial_inequality_removal,[],[f1225]) ).
fof(f1225,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(superposition,[],[f1224,f1]) ).
fof(f1224,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(forward_demodulation,[],[f1223,f1135]) ).
fof(f1223,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c8 != multiply(X6,identity) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(forward_demodulation,[],[f1222,f1140]) ).
fof(f1222,plain,
( ! [X6] :
( sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,identity) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(forward_demodulation,[],[f164,f1140]) ).
fof(f164,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl12_13
<=> ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f1221,plain,
( ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15
| ~ spl12_17 ),
inference(avatar_contradiction_clause,[],[f1220]) ).
fof(f1220,plain,
( $false
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15
| ~ spl12_17 ),
inference(subsumption_resolution,[],[f1219,f1184]) ).
fof(f1219,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15
| ~ spl12_17 ),
inference(forward_demodulation,[],[f1206,f1184]) ).
fof(f1206,plain,
( identity != inverse(inverse(identity))
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15 ),
inference(trivial_inequality_removal,[],[f1203]) ).
fof(f1203,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15 ),
inference(superposition,[],[f1190,f2]) ).
fof(f1190,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1189,f1140]) ).
fof(f1189,plain,
( ! [X3] :
( sk_c9 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1188,f1135]) ).
fof(f1188,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c9 != multiply(X3,identity) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f170,f1135]) ).
fof(f170,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl12_15
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c9 != multiply(X3,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f1186,plain,
( spl12_23
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(avatar_split_clause,[],[f1157,f155,f143,f134,f117,f93,f429]) ).
fof(f429,plain,
( spl12_23
<=> identity = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_23])]) ).
fof(f1157,plain,
( identity = sF10
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f1127,f1135]) ).
fof(f1127,plain,
( sk_c8 = sF10
| ~ spl12_1
| ~ spl12_6
| ~ spl12_11 ),
inference(backward_demodulation,[],[f95,f994]) ).
fof(f1182,plain,
( spl12_16
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(avatar_split_clause,[],[f1139,f155,f143,f134,f117,f93,f378]) ).
fof(f378,plain,
( spl12_16
<=> identity = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f1139,plain,
( identity = sF3
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f157,f1135]) ).
fof(f1161,plain,
( spl12_17
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(avatar_split_clause,[],[f1142,f155,f143,f134,f117,f93,f382]) ).
fof(f1142,plain,
( identity = inverse(sk_c4)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f1004,f1135]) ).
fof(f1004,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f473,f994]) ).
fof(f473,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl12_1
| ~ spl12_9 ),
inference(backward_demodulation,[],[f471,f472]) ).
fof(f471,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl12_1 ),
inference(backward_demodulation,[],[f59,f95]) ).
fof(f1124,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_9
| spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f1123]) ).
fof(f1123,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_9
| spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f994,f1119]) ).
fof(f1119,plain,
( sk_c8 != sk_c9
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_9
| spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f139,f1118]) ).
fof(f1118,plain,
( sk_c8 = sF6
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1117,f1010]) ).
fof(f1117,plain,
( multiply(sk_c4,sk_c8) = sF6
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f52,f1021]) ).
fof(f1021,plain,
( sk_c4 = sk_c1
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f234,f999]) ).
fof(f234,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl12_3 ),
inference(superposition,[],[f211,f194]) ).
fof(f194,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl12_3 ),
inference(superposition,[],[f2,f188]) ).
fof(f188,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl12_3 ),
inference(backward_demodulation,[],[f46,f104]) ).
fof(f104,plain,
( sk_c8 = sF2
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl12_3
<=> sk_c8 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f46,plain,
inverse(sk_c1) = sF2,
introduced(function_definition,[]) ).
fof(f52,plain,
multiply(sk_c1,sk_c8) = sF6,
introduced(function_definition,[]) ).
fof(f139,plain,
( sk_c9 != sF6
| spl12_10 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl12_10
<=> sk_c9 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f766,plain,
( ~ spl12_1
| ~ spl12_9
| ~ spl12_12
| ~ spl12_14
| ~ spl12_16
| ~ spl12_23 ),
inference(avatar_contradiction_clause,[],[f765]) ).
fof(f765,plain,
( $false
| ~ spl12_1
| ~ spl12_9
| ~ spl12_12
| ~ spl12_14
| ~ spl12_16
| ~ spl12_23 ),
inference(subsumption_resolution,[],[f764,f661]) ).
fof(f661,plain,
( identity = inverse(identity)
| ~ spl12_1
| ~ spl12_9
| ~ spl12_23 ),
inference(forward_demodulation,[],[f660,f645]) ).
fof(f645,plain,
( identity = sk_c9
| ~ spl12_1
| ~ spl12_23 ),
inference(forward_demodulation,[],[f95,f430]) ).
fof(f430,plain,
( identity = sF10
| ~ spl12_23 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f660,plain,
( sk_c9 = inverse(identity)
| ~ spl12_1
| ~ spl12_9
| ~ spl12_23 ),
inference(forward_demodulation,[],[f455,f653]) ).
fof(f653,plain,
( identity = sk_c4
| ~ spl12_1
| ~ spl12_9
| ~ spl12_23 ),
inference(forward_demodulation,[],[f649,f2]) ).
fof(f649,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl12_1
| ~ spl12_9
| ~ spl12_23 ),
inference(backward_demodulation,[],[f452,f645]) ).
fof(f455,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl12_9 ),
inference(backward_demodulation,[],[f53,f136]) ).
fof(f764,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_12
| ~ spl12_14
| ~ spl12_16
| ~ spl12_23 ),
inference(subsumption_resolution,[],[f755,f1]) ).
fof(f755,plain,
( identity != multiply(identity,identity)
| identity != inverse(identity)
| ~ spl12_1
| ~ spl12_12
| ~ spl12_14
| ~ spl12_16
| ~ spl12_23 ),
inference(superposition,[],[f683,f1]) ).
fof(f683,plain,
( ! [X8] :
( identity != multiply(identity,multiply(X8,identity))
| identity != inverse(X8) )
| ~ spl12_1
| ~ spl12_12
| ~ spl12_14
| ~ spl12_16
| ~ spl12_23 ),
inference(backward_demodulation,[],[f657,f675]) ).
fof(f675,plain,
( identity = sk_c8
| ~ spl12_12
| ~ spl12_16 ),
inference(forward_demodulation,[],[f157,f379]) ).
fof(f379,plain,
( identity = sF3
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f657,plain,
( ! [X8] :
( identity != inverse(X8)
| sk_c8 != multiply(identity,multiply(X8,identity)) )
| ~ spl12_1
| ~ spl12_14
| ~ spl12_23 ),
inference(forward_demodulation,[],[f656,f645]) ).
fof(f656,plain,
( ! [X8] :
( sk_c8 != multiply(identity,multiply(X8,identity))
| sk_c9 != inverse(X8) )
| ~ spl12_1
| ~ spl12_14
| ~ spl12_23 ),
inference(forward_demodulation,[],[f167,f645]) ).
fof(f167,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| sk_c8 != multiply(sk_c9,multiply(X8,sk_c9)) )
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl12_14
<=> ! [X8] :
( sk_c8 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c9 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f631,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f630,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f629,f541]) ).
fof(f541,plain,
( identity = inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f531,f536]) ).
fof(f536,plain,
( identity = sk_c4
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f525,f2]) ).
fof(f525,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(backward_demodulation,[],[f497,f516]) ).
fof(f516,plain,
( identity = sk_c8
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f515,f2]) ).
fof(f515,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(backward_demodulation,[],[f494,f514]) ).
fof(f514,plain,
( sk_c8 = sF5
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f482,f501]) ).
fof(f501,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(backward_demodulation,[],[f464,f481]) ).
fof(f481,plain,
( sk_c8 = sk_c9
| ~ spl12_1
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f478,f450]) ).
fof(f478,plain,
( sk_c9 = multiply(sk_c9,sk_c6)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9 ),
inference(backward_demodulation,[],[f462,f476]) ).
fof(f476,plain,
( sk_c6 = sF0
| ~ spl12_1
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9 ),
inference(backward_demodulation,[],[f459,f475]) ).
fof(f459,plain,
( multiply(sk_c4,sk_c9) = sF0
| ~ spl12_5
| ~ spl12_9 ),
inference(backward_demodulation,[],[f43,f456]) ).
fof(f456,plain,
( sk_c4 = sk_c2
| ~ spl12_5
| ~ spl12_9 ),
inference(forward_demodulation,[],[f238,f452]) ).
fof(f238,plain,
( sk_c2 = multiply(inverse(sk_c9),identity)
| ~ spl12_5 ),
inference(superposition,[],[f211,f195]) ).
fof(f195,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl12_5 ),
inference(superposition,[],[f2,f189]) ).
fof(f189,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl12_5 ),
inference(backward_demodulation,[],[f49,f114]) ).
fof(f114,plain,
( sk_c9 = sF4
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl12_5
<=> sk_c9 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f49,plain,
inverse(sk_c2) = sF4,
introduced(function_definition,[]) ).
fof(f43,plain,
multiply(sk_c2,sk_c9) = sF0,
introduced(function_definition,[]) ).
fof(f462,plain,
( sk_c9 = multiply(sk_c9,sF0)
| ~ spl12_5
| ~ spl12_9 ),
inference(backward_demodulation,[],[f451,f460]) ).
fof(f460,plain,
( sF3 = sF0
| ~ spl12_5
| ~ spl12_9 ),
inference(backward_demodulation,[],[f47,f459]) ).
fof(f451,plain,
( sk_c9 = multiply(sk_c9,sF3)
| ~ spl12_9 ),
inference(backward_demodulation,[],[f343,f136]) ).
fof(f343,plain,
sk_c9 = multiply(sF7,sF3),
inference(forward_demodulation,[],[f239,f53]) ).
fof(f239,plain,
sk_c9 = multiply(inverse(sk_c4),sF3),
inference(superposition,[],[f211,f47]) ).
fof(f464,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl12_3
| ~ spl12_10 ),
inference(forward_demodulation,[],[f241,f188]) ).
fof(f241,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c9)
| ~ spl12_10 ),
inference(superposition,[],[f211,f191]) ).
fof(f191,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl12_10 ),
inference(backward_demodulation,[],[f52,f140]) ).
fof(f140,plain,
( sk_c9 = sF6
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f482,plain,
( multiply(sk_c8,sk_c8) = sF5
| ~ spl12_1
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f50,f481]) ).
fof(f494,plain,
( sk_c8 = multiply(inverse(sk_c8),sF5)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f235,f481]) ).
fof(f235,plain,
sk_c8 = multiply(inverse(sk_c9),sF5),
inference(superposition,[],[f211,f50]) ).
fof(f497,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f452,f481]) ).
fof(f531,plain,
( identity = inverse(sk_c4)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(backward_demodulation,[],[f508,f516]) ).
fof(f508,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f188,f505]) ).
fof(f505,plain,
( sk_c4 = sk_c1
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f234,f497]) ).
fof(f629,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f625,f541]) ).
fof(f625,plain,
( identity != inverse(inverse(identity))
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(trivial_inequality_removal,[],[f624]) ).
fof(f624,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(superposition,[],[f621,f2]) ).
fof(f621,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f620,f521]) ).
fof(f521,plain,
( identity = sk_c9
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(backward_demodulation,[],[f481,f516]) ).
fof(f620,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| sk_c9 != inverse(X6) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f619,f516]) ).
fof(f619,plain,
( ! [X6] :
( sk_c8 != multiply(X6,identity)
| sk_c9 != inverse(X6) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f164,f521]) ).
fof(f618,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15 ),
inference(avatar_contradiction_clause,[],[f617]) ).
fof(f617,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15 ),
inference(subsumption_resolution,[],[f616,f541]) ).
fof(f616,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15 ),
inference(forward_demodulation,[],[f612,f541]) ).
fof(f612,plain,
( identity != inverse(inverse(identity))
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15 ),
inference(trivial_inequality_removal,[],[f611]) ).
fof(f611,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15 ),
inference(superposition,[],[f557,f2]) ).
fof(f557,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15 ),
inference(forward_demodulation,[],[f556,f516]) ).
fof(f556,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| identity != inverse(X3) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15 ),
inference(forward_demodulation,[],[f487,f516]) ).
fof(f487,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c8) )
| ~ spl12_1
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_15 ),
inference(backward_demodulation,[],[f170,f481]) ).
fof(f449,plain,
( ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_15 ),
inference(avatar_contradiction_clause,[],[f448]) ).
fof(f448,plain,
( $false
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_15 ),
inference(subsumption_resolution,[],[f441,f332]) ).
fof(f332,plain,
( identity = inverse(identity)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(forward_demodulation,[],[f293,f326]) ).
fof(f326,plain,
( identity = sk_c1
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(forward_demodulation,[],[f300,f2]) ).
fof(f300,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f234,f290]) ).
fof(f290,plain,
( identity = sk_c8
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f284,f289]) ).
fof(f289,plain,
( identity = sk_c3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7 ),
inference(forward_demodulation,[],[f288,f2]) ).
fof(f288,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c8)
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7 ),
inference(forward_demodulation,[],[f237,f247]) ).
fof(f247,plain,
( sk_c8 = sk_c9
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7 ),
inference(forward_demodulation,[],[f246,f186]) ).
fof(f186,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl12_4 ),
inference(backward_demodulation,[],[f55,f109]) ).
fof(f109,plain,
( sk_c8 = sF8
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl12_4
<=> sk_c8 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f55,plain,
multiply(sk_c9,sk_c3) = sF8,
introduced(function_definition,[]) ).
fof(f246,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl12_5
| ~ spl12_7 ),
inference(forward_demodulation,[],[f242,f189]) ).
fof(f242,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c3)
| ~ spl12_7 ),
inference(superposition,[],[f211,f187]) ).
fof(f187,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl12_7 ),
inference(backward_demodulation,[],[f43,f124]) ).
fof(f124,plain,
( sk_c3 = sF0
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl12_7
<=> sk_c3 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f237,plain,
( sk_c3 = multiply(inverse(sk_c9),sk_c8)
| ~ spl12_4 ),
inference(superposition,[],[f211,f186]) ).
fof(f284,plain,
( sk_c8 = sk_c3
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(forward_demodulation,[],[f281,f257]) ).
fof(f257,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f191,f247]) ).
fof(f281,plain,
( multiply(sk_c1,sk_c8) = sk_c3
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7 ),
inference(backward_demodulation,[],[f255,f276]) ).
fof(f276,plain,
( sk_c1 = sk_c2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7 ),
inference(backward_demodulation,[],[f275,f234]) ).
fof(f275,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7 ),
inference(forward_demodulation,[],[f238,f247]) ).
fof(f255,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7 ),
inference(backward_demodulation,[],[f187,f247]) ).
fof(f293,plain,
( identity = inverse(sk_c1)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f188,f290]) ).
fof(f441,plain,
( identity != inverse(identity)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_15 ),
inference(trivial_inequality_removal,[],[f436]) ).
fof(f436,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_15 ),
inference(superposition,[],[f435,f1]) ).
fof(f435,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_15 ),
inference(forward_demodulation,[],[f434,f301]) ).
fof(f301,plain,
( identity = sk_c9
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f247,f290]) ).
fof(f434,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c9 != multiply(X3,identity) )
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_15 ),
inference(forward_demodulation,[],[f433,f290]) ).
fof(f433,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c9 != multiply(X3,identity) )
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_15 ),
inference(forward_demodulation,[],[f170,f290]) ).
fof(f412,plain,
( ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_14 ),
inference(avatar_contradiction_clause,[],[f411]) ).
fof(f411,plain,
( $false
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f410,f332]) ).
fof(f410,plain,
( identity != inverse(identity)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_14 ),
inference(forward_demodulation,[],[f409,f332]) ).
fof(f409,plain,
( identity != inverse(inverse(identity))
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f402,f1]) ).
fof(f402,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_14 ),
inference(superposition,[],[f399,f2]) ).
fof(f399,plain,
( ! [X8] :
( identity != multiply(identity,multiply(X8,identity))
| identity != inverse(X8) )
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_14 ),
inference(forward_demodulation,[],[f398,f290]) ).
fof(f398,plain,
( ! [X8] :
( identity != inverse(X8)
| sk_c8 != multiply(identity,multiply(X8,identity)) )
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_14 ),
inference(forward_demodulation,[],[f397,f301]) ).
fof(f397,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| sk_c8 != multiply(identity,multiply(X8,identity)) )
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_14 ),
inference(forward_demodulation,[],[f167,f301]) ).
fof(f396,plain,
( ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f395,plain,
( $false
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f372,f332]) ).
fof(f372,plain,
( identity != inverse(identity)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_13 ),
inference(trivial_inequality_removal,[],[f367]) ).
fof(f367,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_13 ),
inference(superposition,[],[f355,f1]) ).
fof(f355,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_13 ),
inference(forward_demodulation,[],[f354,f290]) ).
fof(f354,plain,
( ! [X6] :
( sk_c8 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_13 ),
inference(forward_demodulation,[],[f353,f301]) ).
fof(f353,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c8 != multiply(X6,sk_c9) )
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_13 ),
inference(forward_demodulation,[],[f164,f301]) ).
fof(f272,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| spl12_8
| ~ spl12_10 ),
inference(avatar_contradiction_clause,[],[f271]) ).
fof(f271,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| spl12_8
| ~ spl12_10 ),
inference(subsumption_resolution,[],[f270,f223]) ).
fof(f223,plain,
( sk_c8 != sF5
| ~ spl12_2
| ~ spl12_3
| spl12_8
| ~ spl12_10 ),
inference(backward_demodulation,[],[f129,f220]) ).
fof(f220,plain,
( sk_c8 = sk_c7
| ~ spl12_2
| ~ spl12_3
| ~ spl12_10 ),
inference(backward_demodulation,[],[f190,f218]) ).
fof(f218,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl12_3
| ~ spl12_10 ),
inference(superposition,[],[f208,f191]) ).
fof(f208,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c1,X9)) = X9
| ~ spl12_3 ),
inference(forward_demodulation,[],[f200,f1]) ).
fof(f200,plain,
( ! [X9] : multiply(identity,X9) = multiply(sk_c8,multiply(sk_c1,X9))
| ~ spl12_3 ),
inference(superposition,[],[f3,f194]) ).
fof(f190,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| ~ spl12_2 ),
inference(backward_demodulation,[],[f57,f99]) ).
fof(f99,plain,
( sk_c7 = sF9
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f129,plain,
( sk_c7 != sF5
| spl12_8 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f270,plain,
( sk_c8 = sF5
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f250,f267]) ).
fof(f267,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f218,f247]) ).
fof(f250,plain,
( multiply(sk_c8,sk_c8) = sF5
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7 ),
inference(backward_demodulation,[],[f50,f247]) ).
fof(f185,plain,
( spl12_2
| spl12_6 ),
inference(avatar_split_clause,[],[f83,f117,f97]) ).
fof(f83,plain,
( sk_c6 = sF11
| sk_c7 = sF9 ),
inference(definition_folding,[],[f8,f66,f57]) ).
fof(f8,axiom,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c6 = multiply(sk_c5,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f184,plain,
( spl12_12
| spl12_2 ),
inference(avatar_split_clause,[],[f84,f97,f155]) ).
fof(f84,plain,
( sk_c7 = sF9
| sk_c8 = sF3 ),
inference(definition_folding,[],[f5,f57,f47]) ).
fof(f5,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f183,plain,
( spl12_12
| spl12_7 ),
inference(avatar_split_clause,[],[f86,f122,f155]) ).
fof(f86,plain,
( sk_c3 = sF0
| sk_c8 = sF3 ),
inference(definition_folding,[],[f29,f43,f47]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f182,plain,
( spl12_7
| spl12_6 ),
inference(avatar_split_clause,[],[f72,f117,f122]) ).
fof(f72,plain,
( sk_c6 = sF11
| sk_c3 = sF0 ),
inference(definition_folding,[],[f32,f43,f66]) ).
fof(f32,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f181,plain,
( spl12_10
| spl12_12 ),
inference(avatar_split_clause,[],[f90,f155,f138]) ).
fof(f90,plain,
( sk_c8 = sF3
| sk_c9 = sF6 ),
inference(definition_folding,[],[f11,f52,f47]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f180,plain,
( spl12_8
| spl12_3 ),
inference(avatar_split_clause,[],[f77,f102,f128]) ).
fof(f77,plain,
( sk_c8 = sF2
| sk_c7 = sF5 ),
inference(definition_folding,[],[f16,f50,f46]) ).
fof(f16,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f179,plain,
( spl12_6
| spl12_10 ),
inference(avatar_split_clause,[],[f67,f138,f117]) ).
fof(f67,plain,
( sk_c9 = sF6
| sk_c6 = sF11 ),
inference(definition_folding,[],[f14,f52,f66]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f178,plain,
( spl12_6
| spl12_5 ),
inference(avatar_split_clause,[],[f73,f112,f117]) ).
fof(f73,plain,
( sk_c9 = sF4
| sk_c6 = sF11 ),
inference(definition_folding,[],[f38,f49,f66]) ).
fof(f38,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f177,plain,
( spl12_11
| spl12_10 ),
inference(avatar_split_clause,[],[f88,f138,f143]) ).
fof(f88,plain,
( sk_c9 = sF6
| sk_c8 = sF1 ),
inference(definition_folding,[],[f13,f44,f52]) ).
fof(f13,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f176,plain,
( spl12_4
| spl12_12 ),
inference(avatar_split_clause,[],[f80,f155,f107]) ).
fof(f80,plain,
( sk_c8 = sF3
| sk_c8 = sF8 ),
inference(definition_folding,[],[f23,f55,f47]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f175,plain,
( spl12_9
| spl12_2 ),
inference(avatar_split_clause,[],[f58,f97,f134]) ).
fof(f58,plain,
( sk_c7 = sF9
| sk_c9 = sF7 ),
inference(definition_folding,[],[f6,f57,f53]) ).
fof(f6,axiom,
( sk_c9 = inverse(sk_c4)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f174,plain,
( spl12_3
| spl12_9 ),
inference(avatar_split_clause,[],[f68,f134,f102]) ).
fof(f68,plain,
( sk_c9 = sF7
| sk_c8 = sF2 ),
inference(definition_folding,[],[f18,f53,f46]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f173,plain,
( spl12_7
| spl12_8 ),
inference(avatar_split_clause,[],[f65,f128,f122]) ).
fof(f65,plain,
( sk_c7 = sF5
| sk_c3 = sF0 ),
inference(definition_folding,[],[f28,f43,f50]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c9,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f172,plain,
( spl12_12
| spl12_5 ),
inference(avatar_split_clause,[],[f63,f112,f155]) ).
fof(f63,plain,
( sk_c9 = sF4
| sk_c8 = sF3 ),
inference(definition_folding,[],[f35,f49,f47]) ).
fof(f35,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f171,plain,
( ~ spl12_2
| ~ spl12_8
| spl12_13
| spl12_14
| spl12_14
| spl12_15 ),
inference(avatar_split_clause,[],[f76,f169,f166,f166,f163,f128,f97]) ).
fof(f76,plain,
! [X3,X8,X6,X5] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c8 != multiply(X6,sk_c9)
| sk_c7 != sF5
| sk_c7 != sF9
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X6)
| sk_c9 != inverse(X8) ),
inference(definition_folding,[],[f42,f57,f50]) ).
fof(f42,plain,
! [X3,X8,X6,X5] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != multiply(X3,sk_c8)
| sk_c7 != multiply(sk_c9,sk_c8)
| multiply(sk_c8,sk_c9) != sk_c7
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X5) ),
inference(equality_resolution,[],[f41]) ).
fof(f41,plain,
! [X3,X8,X6,X4,X5] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9)
| sk_c8 != multiply(sk_c9,X4)
| sk_c9 != multiply(X3,sk_c8)
| sk_c7 != multiply(sk_c9,sk_c8)
| multiply(sk_c8,sk_c9) != sk_c7
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(sk_c9,X7)
| sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9)
| sk_c8 != multiply(sk_c9,X4)
| sk_c9 != multiply(X3,sk_c8)
| sk_c7 != multiply(sk_c9,sk_c8)
| multiply(X8,sk_c9) != X7
| multiply(sk_c8,sk_c9) != sk_c7
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f161,plain,
( spl12_5
| spl12_9 ),
inference(avatar_split_clause,[],[f82,f134,f112]) ).
fof(f82,plain,
( sk_c9 = sF7
| sk_c9 = sF4 ),
inference(definition_folding,[],[f36,f53,f49]) ).
fof(f36,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f160,plain,
( spl12_4
| spl12_11 ),
inference(avatar_split_clause,[],[f91,f143,f107]) ).
fof(f91,plain,
( sk_c8 = sF1
| sk_c8 = sF8 ),
inference(definition_folding,[],[f25,f55,f44]) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c9,sk_c6)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f159,plain,
( spl12_10
| spl12_1 ),
inference(avatar_split_clause,[],[f78,f93,f138]) ).
fof(f78,plain,
( sk_c9 = sF10
| sk_c9 = sF6 ),
inference(definition_folding,[],[f15,f59,f52]) ).
fof(f15,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f158,plain,
( spl12_12
| spl12_3 ),
inference(avatar_split_clause,[],[f48,f102,f155]) ).
fof(f48,plain,
( sk_c8 = sF2
| sk_c8 = sF3 ),
inference(definition_folding,[],[f17,f47,f46]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f153,plain,
( spl12_8
| spl12_4 ),
inference(avatar_split_clause,[],[f69,f107,f128]) ).
fof(f69,plain,
( sk_c8 = sF8
| sk_c7 = sF5 ),
inference(definition_folding,[],[f22,f50,f55]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f152,plain,
( spl12_11
| spl12_3 ),
inference(avatar_split_clause,[],[f89,f102,f143]) ).
fof(f89,plain,
( sk_c8 = sF2
| sk_c8 = sF1 ),
inference(definition_folding,[],[f19,f46,f44]) ).
fof(f19,axiom,
( sk_c8 = multiply(sk_c9,sk_c6)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f151,plain,
( spl12_8
| spl12_10 ),
inference(avatar_split_clause,[],[f62,f138,f128]) ).
fof(f62,plain,
( sk_c9 = sF6
| sk_c7 = sF5 ),
inference(definition_folding,[],[f10,f50,f52]) ).
fof(f10,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f150,plain,
( spl12_5
| spl12_11 ),
inference(avatar_split_clause,[],[f81,f143,f112]) ).
fof(f81,plain,
( sk_c8 = sF1
| sk_c9 = sF4 ),
inference(definition_folding,[],[f37,f49,f44]) ).
fof(f37,axiom,
( sk_c8 = multiply(sk_c9,sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f149,plain,
( spl12_9
| spl12_7 ),
inference(avatar_split_clause,[],[f74,f122,f134]) ).
fof(f74,plain,
( sk_c3 = sF0
| sk_c9 = sF7 ),
inference(definition_folding,[],[f30,f43,f53]) ).
fof(f30,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f148,plain,
( spl12_2
| spl12_11 ),
inference(avatar_split_clause,[],[f87,f143,f97]) ).
fof(f87,plain,
( sk_c8 = sF1
| sk_c7 = sF9 ),
inference(definition_folding,[],[f7,f44,f57]) ).
fof(f7,axiom,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c8 = multiply(sk_c9,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f147,plain,
( spl12_4
| spl12_9 ),
inference(avatar_split_clause,[],[f56,f134,f107]) ).
fof(f56,plain,
( sk_c9 = sF7
| sk_c8 = sF8 ),
inference(definition_folding,[],[f24,f53,f55]) ).
fof(f24,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f146,plain,
( spl12_11
| spl12_7 ),
inference(avatar_split_clause,[],[f45,f122,f143]) ).
fof(f45,plain,
( sk_c3 = sF0
| sk_c8 = sF1 ),
inference(definition_folding,[],[f31,f44,f43]) ).
fof(f31,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f141,plain,
( spl12_9
| spl12_10 ),
inference(avatar_split_clause,[],[f54,f138,f134]) ).
fof(f54,plain,
( sk_c9 = sF6
| sk_c9 = sF7 ),
inference(definition_folding,[],[f12,f53,f52]) ).
fof(f12,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f132,plain,
( spl12_8
| spl12_2 ),
inference(avatar_split_clause,[],[f85,f97,f128]) ).
fof(f85,plain,
( sk_c7 = sF9
| sk_c7 = sF5 ),
inference(definition_folding,[],[f4,f57,f50]) ).
fof(f4,axiom,
( sk_c7 = multiply(sk_c9,sk_c8)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f131,plain,
( spl12_8
| spl12_5 ),
inference(avatar_split_clause,[],[f51,f112,f128]) ).
fof(f51,plain,
( sk_c9 = sF4
| sk_c7 = sF5 ),
inference(definition_folding,[],[f34,f50,f49]) ).
fof(f34,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f126,plain,
( spl12_6
| spl12_3 ),
inference(avatar_split_clause,[],[f70,f102,f117]) ).
fof(f70,plain,
( sk_c8 = sF2
| sk_c6 = sF11 ),
inference(definition_folding,[],[f20,f46,f66]) ).
fof(f20,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f125,plain,
( spl12_1
| spl12_7 ),
inference(avatar_split_clause,[],[f60,f122,f93]) ).
fof(f60,plain,
( sk_c3 = sF0
| sk_c9 = sF10 ),
inference(definition_folding,[],[f33,f59,f43]) ).
fof(f33,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f120,plain,
( spl12_4
| spl12_6 ),
inference(avatar_split_clause,[],[f71,f117,f107]) ).
fof(f71,plain,
( sk_c6 = sF11
| sk_c8 = sF8 ),
inference(definition_folding,[],[f26,f55,f66]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f115,plain,
( spl12_5
| spl12_1 ),
inference(avatar_split_clause,[],[f79,f93,f112]) ).
fof(f79,plain,
( sk_c9 = sF10
| sk_c9 = sF4 ),
inference(definition_folding,[],[f39,f59,f49]) ).
fof(f39,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f110,plain,
( spl12_1
| spl12_4 ),
inference(avatar_split_clause,[],[f64,f107,f93]) ).
fof(f64,plain,
( sk_c8 = sF8
| sk_c9 = sF10 ),
inference(definition_folding,[],[f27,f55,f59]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f105,plain,
( spl12_1
| spl12_3 ),
inference(avatar_split_clause,[],[f61,f102,f93]) ).
fof(f61,plain,
( sk_c8 = sF2
| sk_c9 = sF10 ),
inference(definition_folding,[],[f21,f59,f46]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f100,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f75,f97,f93]) ).
fof(f75,plain,
( sk_c7 = sF9
| sk_c9 = sF10 ),
inference(definition_folding,[],[f9,f57,f59]) ).
fof(f9,axiom,
( sk_c9 = inverse(sk_c5)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP322-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:09:15 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 % (1880)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.48 % (1897)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.48 % (1880)Instruction limit reached!
% 0.21/0.48 % (1880)------------------------------
% 0.21/0.48 % (1880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.48 % (1880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.48 % (1880)Termination reason: Unknown
% 0.21/0.48 % (1880)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (1880)Memory used [KB]: 5373
% 0.21/0.48 % (1880)Time elapsed: 0.004 s
% 0.21/0.48 % (1880)Instructions burned: 2 (million)
% 0.21/0.48 % (1880)------------------------------
% 0.21/0.48 % (1880)------------------------------
% 0.21/0.53 % (1887)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.53 % (1901)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53 % (1873)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (1876)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (1874)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.53 % (1877)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.54 % (1875)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (1895)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.54 % (1872)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.54 % (1897)First to succeed.
% 0.21/0.54 % (1890)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.54 % (1888)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 TRYING [2]
% 0.21/0.54 % (1893)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.54 % (1889)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (1891)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 TRYING [3]
% 0.21/0.54 % (1894)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55 % (1892)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (1878)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 % (1881)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 TRYING [1]
% 0.21/0.55 TRYING [2]
% 0.21/0.55 % (1885)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.55 % (1883)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55 % (1897)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (1897)------------------------------
% 0.21/0.55 % (1897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (1897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (1897)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (1897)Memory used [KB]: 6012
% 0.21/0.55 % (1897)Time elapsed: 0.138 s
% 0.21/0.55 % (1897)Instructions burned: 39 (million)
% 0.21/0.55 % (1897)------------------------------
% 0.21/0.55 % (1897)------------------------------
% 0.21/0.55 % (1871)Success in time 0.197 s
%------------------------------------------------------------------------------