TSTP Solution File: GRP324-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP324-1 : 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 : n028.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 16:15:22 EDT 2022
% Result : Unsatisfiable 1.53s 0.55s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 70
% Syntax : Number of formulae : 370 ( 31 unt; 0 def)
% Number of atoms : 1503 ( 436 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 2210 (1077 ~;1110 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-2 aty)
% Number of variables : 77 ( 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1231,plain,
$false,
inference(avatar_sat_refutation,[],[f117,f127,f128,f133,f134,f139,f140,f141,f142,f144,f145,f150,f155,f156,f157,f158,f159,f160,f161,f162,f163,f165,f166,f167,f168,f169,f182,f183,f184,f185,f186,f187,f281,f388,f412,f418,f435,f461,f471,f538,f552,f610,f614,f616,f755,f757,f764,f1018,f1022,f1049,f1144,f1162,f1188,f1202,f1216,f1230]) ).
fof(f1230,plain,
( ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_14
| ~ spl12_17
| ~ spl12_21 ),
inference(avatar_contradiction_clause,[],[f1229]) ).
fof(f1229,plain,
( $false
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_14
| ~ spl12_17
| ~ spl12_21 ),
inference(subsumption_resolution,[],[f1224,f1105]) ).
fof(f1105,plain,
( identity = inverse(identity)
| ~ spl12_17
| ~ spl12_21 ),
inference(forward_demodulation,[],[f368,f415]) ).
fof(f415,plain,
( identity = sk_c2
| ~ spl12_21 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f414,plain,
( spl12_21
<=> identity = sk_c2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).
fof(f368,plain,
( identity = inverse(sk_c2)
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f367,plain,
( spl12_17
<=> identity = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f1224,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_14
| ~ spl12_21 ),
inference(trivial_inequality_removal,[],[f1220]) ).
fof(f1220,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_14
| ~ spl12_21 ),
inference(superposition,[],[f1219,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f1219,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_14
| ~ spl12_21 ),
inference(forward_demodulation,[],[f1218,f1080]) ).
fof(f1080,plain,
( identity = sk_c7
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21 ),
inference(backward_demodulation,[],[f1014,f1076]) ).
fof(f1076,plain,
( ! [X15] : multiply(sk_c7,X15) = X15
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21 ),
inference(forward_demodulation,[],[f1075,f1]) ).
fof(f1075,plain,
( ! [X15] : multiply(identity,X15) = multiply(sk_c7,X15)
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21 ),
inference(backward_demodulation,[],[f1031,f415]) ).
fof(f1031,plain,
( ! [X15] : multiply(sk_c2,X15) = multiply(sk_c7,X15)
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1030,f1]) ).
fof(f1030,plain,
( ! [X15] : multiply(sk_c2,multiply(identity,X15)) = multiply(sk_c7,X15)
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1029,f1012]) ).
fof(f1012,plain,
( identity = sk_c8
| ~ spl12_1
| ~ spl12_10
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1008,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1008,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl12_1
| ~ spl12_10
| ~ spl12_12 ),
inference(backward_demodulation,[],[f861,f1006]) ).
fof(f1006,plain,
( sk_c7 = sk_c6
| ~ spl12_1
| ~ spl12_10
| ~ spl12_12 ),
inference(backward_demodulation,[],[f720,f1004]) ).
fof(f1004,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl12_10
| ~ spl12_12 ),
inference(backward_demodulation,[],[f901,f154]) ).
fof(f154,plain,
( sk_c8 = sF8
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl12_12
<=> sk_c8 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f901,plain,
( sk_c7 = multiply(sk_c7,sF8)
| ~ spl12_10 ),
inference(backward_demodulation,[],[f327,f138]) ).
fof(f138,plain,
( sk_c7 = sF1
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl12_10
<=> sk_c7 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f327,plain,
sk_c7 = multiply(sF1,sF8),
inference(forward_demodulation,[],[f238,f43]) ).
fof(f43,plain,
inverse(sk_c1) = sF1,
introduced(function_definition,[]) ).
fof(f238,plain,
sk_c7 = multiply(inverse(sk_c1),sF8),
inference(superposition,[],[f210,f54]) ).
fof(f54,plain,
multiply(sk_c1,sk_c7) = sF8,
introduced(function_definition,[]) ).
fof(f210,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f201,f1]) ).
fof(f201,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(f720,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl12_1 ),
inference(forward_demodulation,[],[f47,f94]) ).
fof(f94,plain,
( sk_c6 = sF4
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl12_1
<=> sk_c6 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f47,plain,
multiply(sk_c7,sk_c8) = sF4,
introduced(function_definition,[]) ).
fof(f861,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl12_1 ),
inference(forward_demodulation,[],[f230,f94]) ).
fof(f230,plain,
sk_c8 = multiply(inverse(sk_c7),sF4),
inference(superposition,[],[f210,f47]) ).
fof(f1029,plain,
( ! [X15] : multiply(sk_c7,X15) = multiply(sk_c2,multiply(sk_c8,X15))
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12 ),
inference(forward_demodulation,[],[f682,f1021]) ).
fof(f1021,plain,
( sk_c7 = sk_c3
| ~ spl12_1
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12 ),
inference(backward_demodulation,[],[f1003,f1019]) ).
fof(f1019,plain,
( ! [X0] : multiply(sF3,X0) = X0
| ~ spl12_1
| ~ spl12_10
| ~ spl12_12 ),
inference(backward_demodulation,[],[f226,f1017]) ).
fof(f1017,plain,
( sF3 = inverse(identity)
| ~ spl12_1
| ~ spl12_10
| ~ spl12_12 ),
inference(backward_demodulation,[],[f46,f1012]) ).
fof(f46,plain,
inverse(sk_c8) = sF3,
introduced(function_definition,[]) ).
fof(f226,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f210,f1]) ).
fof(f1003,plain,
( sk_c3 = multiply(sF3,sk_c7)
| ~ spl12_7 ),
inference(forward_demodulation,[],[f942,f46]) ).
fof(f942,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c7)
| ~ spl12_7 ),
inference(forward_demodulation,[],[f233,f121]) ).
fof(f121,plain,
( sk_c7 = sF5
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl12_7
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f233,plain,
sk_c3 = multiply(inverse(sk_c8),sF5),
inference(superposition,[],[f210,f49]) ).
fof(f49,plain,
multiply(sk_c8,sk_c3) = sF5,
introduced(function_definition,[]) ).
fof(f682,plain,
( ! [X15] : multiply(sk_c2,multiply(sk_c8,X15)) = multiply(sk_c3,X15)
| ~ spl12_4 ),
inference(forward_demodulation,[],[f209,f107]) ).
fof(f107,plain,
( sk_c3 = sF11
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl12_4
<=> sk_c3 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f209,plain,
! [X15] : multiply(sF11,X15) = multiply(sk_c2,multiply(sk_c8,X15)),
inference(superposition,[],[f3,f61]) ).
fof(f61,plain,
multiply(sk_c2,sk_c8) = sF11,
introduced(function_definition,[]) ).
fof(f1014,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl12_1
| ~ spl12_10
| ~ spl12_12 ),
inference(backward_demodulation,[],[f1004,f1012]) ).
fof(f1218,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_14
| ~ spl12_21 ),
inference(forward_demodulation,[],[f1217,f1012]) ).
fof(f1217,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| sk_c7 != inverse(X3) )
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_14
| ~ spl12_21 ),
inference(forward_demodulation,[],[f175,f1080]) ).
fof(f175,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl12_14
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f1216,plain,
( ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_15
| ~ spl12_17
| ~ spl12_21 ),
inference(avatar_contradiction_clause,[],[f1215]) ).
fof(f1215,plain,
( $false
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_15
| ~ spl12_17
| ~ spl12_21 ),
inference(subsumption_resolution,[],[f1210,f1105]) ).
fof(f1210,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_15
| ~ spl12_21 ),
inference(trivial_inequality_removal,[],[f1206]) ).
fof(f1206,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_15
| ~ spl12_21 ),
inference(superposition,[],[f1205,f1]) ).
fof(f1205,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_15
| ~ spl12_21 ),
inference(forward_demodulation,[],[f1204,f1080]) ).
fof(f1204,plain,
( ! [X6] :
( sk_c7 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl12_1
| ~ spl12_10
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1203,f1012]) ).
fof(f1203,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) )
| ~ spl12_1
| ~ spl12_10
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f178,f1012]) ).
fof(f178,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) )
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl12_15
<=> ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f1202,plain,
( ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_13
| ~ spl12_17
| ~ spl12_21 ),
inference(avatar_contradiction_clause,[],[f1201]) ).
fof(f1201,plain,
( $false
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_13
| ~ spl12_17
| ~ spl12_21 ),
inference(subsumption_resolution,[],[f1196,f1105]) ).
fof(f1196,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_13
| ~ spl12_21 ),
inference(trivial_inequality_removal,[],[f1192]) ).
fof(f1192,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_13
| ~ spl12_21 ),
inference(superposition,[],[f1191,f1]) ).
fof(f1191,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_13
| ~ spl12_21 ),
inference(forward_demodulation,[],[f1190,f1112]) ).
fof(f1112,plain,
( identity = sk_c6
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21 ),
inference(backward_demodulation,[],[f1006,f1080]) ).
fof(f1190,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c6 != multiply(X7,identity) )
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_13
| ~ spl12_21 ),
inference(forward_demodulation,[],[f1189,f1080]) ).
fof(f1189,plain,
( ! [X7] :
( sk_c6 != multiply(X7,sk_c7)
| identity != inverse(X7) )
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_13
| ~ spl12_21 ),
inference(forward_demodulation,[],[f172,f1080]) ).
fof(f172,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c6 != multiply(X7,sk_c7) )
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl12_13
<=> ! [X7] :
( sk_c7 != inverse(X7)
| sk_c6 != multiply(X7,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f1188,plain,
( ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_16
| ~ spl12_17
| ~ spl12_21 ),
inference(avatar_contradiction_clause,[],[f1187]) ).
fof(f1187,plain,
( $false
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_16
| ~ spl12_17
| ~ spl12_21 ),
inference(subsumption_resolution,[],[f1186,f1]) ).
fof(f1186,plain,
( identity != multiply(identity,identity)
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_16
| ~ spl12_17
| ~ spl12_21 ),
inference(subsumption_resolution,[],[f1176,f1105]) ).
fof(f1176,plain,
( identity != inverse(identity)
| identity != multiply(identity,identity)
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_16
| ~ spl12_21 ),
inference(superposition,[],[f1166,f1]) ).
fof(f1166,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_16
| ~ spl12_21 ),
inference(forward_demodulation,[],[f1165,f1012]) ).
fof(f1165,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| sk_c8 != inverse(X5) )
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_16
| ~ spl12_21 ),
inference(forward_demodulation,[],[f1164,f1080]) ).
fof(f1164,plain,
( ! [X5] :
( sk_c7 != multiply(identity,multiply(X5,identity))
| sk_c8 != inverse(X5) )
| ~ spl12_1
| ~ spl12_10
| ~ spl12_12
| ~ spl12_16 ),
inference(forward_demodulation,[],[f181,f1012]) ).
fof(f181,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) )
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl12_16
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f1162,plain,
( ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| spl12_9
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21 ),
inference(avatar_contradiction_clause,[],[f1161]) ).
fof(f1161,plain,
( $false
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| spl12_9
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21 ),
inference(subsumption_resolution,[],[f1160,f1147]) ).
fof(f1147,plain,
( identity != sF2
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| spl12_9
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21 ),
inference(forward_demodulation,[],[f131,f1112]) ).
fof(f131,plain,
( sk_c6 != sF2
| spl12_9 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl12_9
<=> sk_c6 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f1160,plain,
( identity = sF2
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21 ),
inference(forward_demodulation,[],[f1159,f1]) ).
fof(f1159,plain,
( multiply(identity,identity) = sF2
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21 ),
inference(forward_demodulation,[],[f1158,f1012]) ).
fof(f1158,plain,
( multiply(sk_c8,identity) = sF2
| ~ spl12_1
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21 ),
inference(forward_demodulation,[],[f45,f1080]) ).
fof(f45,plain,
multiply(sk_c8,sk_c7) = sF2,
introduced(function_definition,[]) ).
fof(f1144,plain,
( ~ spl12_1
| spl12_3
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_17
| ~ spl12_21 ),
inference(avatar_contradiction_clause,[],[f1143]) ).
fof(f1143,plain,
( $false
| ~ spl12_1
| spl12_3
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_17
| ~ spl12_21 ),
inference(subsumption_resolution,[],[f1142,f1120]) ).
fof(f1120,plain,
( identity != sF3
| ~ spl12_1
| spl12_3
| ~ spl12_4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21 ),
inference(backward_demodulation,[],[f1071,f1080]) ).
fof(f1071,plain,
( sk_c7 != sF3
| ~ spl12_1
| spl12_3
| ~ spl12_10
| ~ spl12_12 ),
inference(forward_demodulation,[],[f102,f1006]) ).
fof(f102,plain,
( sk_c6 != sF3
| spl12_3 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl12_3
<=> sk_c6 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f1142,plain,
( identity = sF3
| ~ spl12_1
| ~ spl12_10
| ~ spl12_12
| ~ spl12_17
| ~ spl12_21 ),
inference(forward_demodulation,[],[f1017,f1105]) ).
fof(f1049,plain,
( spl12_17
| ~ spl12_1
| ~ spl12_6
| ~ spl12_10
| ~ spl12_12 ),
inference(avatar_split_clause,[],[f1048,f152,f136,f114,f92,f367]) ).
fof(f114,plain,
( spl12_6
<=> sk_c8 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f1048,plain,
( identity = inverse(sk_c2)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_10
| ~ spl12_12 ),
inference(forward_demodulation,[],[f602,f1012]) ).
fof(f602,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl12_6 ),
inference(backward_demodulation,[],[f56,f116]) ).
fof(f116,plain,
( sk_c8 = sF9
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f56,plain,
inverse(sk_c2) = sF9,
introduced(function_definition,[]) ).
fof(f1022,plain,
( spl12_21
| ~ spl12_1
| ~ spl12_6
| ~ spl12_10
| ~ spl12_12 ),
inference(avatar_split_clause,[],[f1020,f152,f136,f114,f92,f414]) ).
fof(f1020,plain,
( identity = sk_c2
| ~ spl12_1
| ~ spl12_6
| ~ spl12_10
| ~ spl12_12 ),
inference(backward_demodulation,[],[f603,f1019]) ).
fof(f603,plain,
( sk_c2 = multiply(sF3,identity)
| ~ spl12_6 ),
inference(forward_demodulation,[],[f600,f46]) ).
fof(f600,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl12_6 ),
inference(backward_demodulation,[],[f241,f116]) ).
fof(f241,plain,
sk_c2 = multiply(inverse(sF9),identity),
inference(superposition,[],[f210,f198]) ).
fof(f198,plain,
identity = multiply(sF9,sk_c2),
inference(superposition,[],[f2,f56]) ).
fof(f1018,plain,
( spl12_20
| ~ spl12_1
| ~ spl12_10
| ~ spl12_12 ),
inference(avatar_split_clause,[],[f1015,f152,f136,f92,f380]) ).
fof(f380,plain,
( spl12_20
<=> identity = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).
fof(f1015,plain,
( identity = sF8
| ~ spl12_1
| ~ spl12_10
| ~ spl12_12 ),
inference(backward_demodulation,[],[f154,f1012]) ).
fof(f764,plain,
( ~ spl12_1
| spl12_3
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22
| ~ spl12_27 ),
inference(avatar_contradiction_clause,[],[f763]) ).
fof(f763,plain,
( $false
| ~ spl12_1
| spl12_3
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22
| ~ spl12_27 ),
inference(subsumption_resolution,[],[f762,f750]) ).
fof(f750,plain,
( identity != sF3
| ~ spl12_1
| spl12_3
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22
| ~ spl12_27 ),
inference(backward_demodulation,[],[f726,f738]) ).
fof(f738,plain,
( identity = sk_c8
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22
| ~ spl12_27 ),
inference(forward_demodulation,[],[f737,f1]) ).
fof(f737,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22
| ~ spl12_27 ),
inference(forward_demodulation,[],[f736,f489]) ).
fof(f489,plain,
( identity = sk_c1
| ~ spl12_27 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f488,plain,
( spl12_27
<=> identity = sk_c1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_27])]) ).
fof(f736,plain,
( sk_c8 = multiply(sk_c1,identity)
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22 ),
inference(forward_demodulation,[],[f539,f686]) ).
fof(f686,plain,
( identity = sk_c7
| ~ spl12_10
| ~ spl12_22 ),
inference(forward_demodulation,[],[f138,f465]) ).
fof(f465,plain,
( identity = sF1
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f464,plain,
( spl12_22
<=> identity = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).
fof(f539,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl12_12 ),
inference(forward_demodulation,[],[f54,f154]) ).
fof(f726,plain,
( sk_c8 != sF3
| ~ spl12_1
| spl12_3
| ~ spl12_10
| ~ spl12_22 ),
inference(backward_demodulation,[],[f102,f722]) ).
fof(f722,plain,
( sk_c8 = sk_c6
| ~ spl12_1
| ~ spl12_10
| ~ spl12_22 ),
inference(forward_demodulation,[],[f721,f1]) ).
fof(f721,plain,
( sk_c6 = multiply(identity,sk_c8)
| ~ spl12_1
| ~ spl12_10
| ~ spl12_22 ),
inference(forward_demodulation,[],[f720,f686]) ).
fof(f762,plain,
( identity = sF3
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22
| ~ spl12_27 ),
inference(forward_demodulation,[],[f739,f698]) ).
fof(f698,plain,
( identity = inverse(identity)
| ~ spl12_5
| ~ spl12_10
| ~ spl12_22 ),
inference(backward_demodulation,[],[f689,f696]) ).
fof(f696,plain,
( identity = sk_c5
| ~ spl12_5
| ~ spl12_10
| ~ spl12_22 ),
inference(forward_demodulation,[],[f694,f2]) ).
fof(f694,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl12_5
| ~ spl12_10
| ~ spl12_22 ),
inference(backward_demodulation,[],[f231,f686]) ).
fof(f231,plain,
( sk_c5 = multiply(inverse(sk_c7),identity)
| ~ spl12_5 ),
inference(superposition,[],[f210,f196]) ).
fof(f196,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl12_5 ),
inference(superposition,[],[f2,f190]) ).
fof(f190,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl12_5 ),
inference(backward_demodulation,[],[f52,f112]) ).
fof(f112,plain,
( sk_c7 = sF7
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl12_5
<=> sk_c7 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f52,plain,
inverse(sk_c5) = sF7,
introduced(function_definition,[]) ).
fof(f689,plain,
( identity = inverse(sk_c5)
| ~ spl12_5
| ~ spl12_10
| ~ spl12_22 ),
inference(backward_demodulation,[],[f190,f686]) ).
fof(f739,plain,
( sF3 = inverse(identity)
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22
| ~ spl12_27 ),
inference(backward_demodulation,[],[f46,f738]) ).
fof(f757,plain,
( ~ spl12_1
| spl12_2
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22
| ~ spl12_27 ),
inference(avatar_contradiction_clause,[],[f756]) ).
fof(f756,plain,
( $false
| ~ spl12_1
| spl12_2
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22
| ~ spl12_27 ),
inference(subsumption_resolution,[],[f747,f706]) ).
fof(f706,plain,
( identity != sk_c6
| spl12_2
| ~ spl12_5
| ~ spl12_10
| ~ spl12_22 ),
inference(backward_demodulation,[],[f97,f705]) ).
fof(f705,plain,
( identity = sF0
| ~ spl12_5
| ~ spl12_10
| ~ spl12_22 ),
inference(forward_demodulation,[],[f697,f1]) ).
fof(f697,plain,
( multiply(identity,identity) = sF0
| ~ spl12_5
| ~ spl12_10
| ~ spl12_22 ),
inference(backward_demodulation,[],[f687,f696]) ).
fof(f687,plain,
( sF0 = multiply(sk_c5,identity)
| ~ spl12_10
| ~ spl12_22 ),
inference(backward_demodulation,[],[f42,f686]) ).
fof(f42,plain,
multiply(sk_c5,sk_c7) = sF0,
introduced(function_definition,[]) ).
fof(f97,plain,
( sk_c6 != sF0
| spl12_2 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl12_2
<=> sk_c6 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f747,plain,
( identity = sk_c6
| ~ spl12_1
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22
| ~ spl12_27 ),
inference(backward_demodulation,[],[f722,f738]) ).
fof(f755,plain,
( spl12_17
| ~ spl12_6
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22
| ~ spl12_27 ),
inference(avatar_split_clause,[],[f743,f488,f464,f152,f136,f114,f367]) ).
fof(f743,plain,
( identity = inverse(sk_c2)
| ~ spl12_6
| ~ spl12_10
| ~ spl12_12
| ~ spl12_22
| ~ spl12_27 ),
inference(backward_demodulation,[],[f602,f738]) ).
fof(f616,plain,
( spl12_27
| ~ spl12_22 ),
inference(avatar_split_clause,[],[f615,f464,f488]) ).
fof(f615,plain,
( identity = sk_c1
| ~ spl12_22 ),
inference(forward_demodulation,[],[f604,f2]) ).
fof(f604,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl12_22 ),
inference(backward_demodulation,[],[f240,f465]) ).
fof(f240,plain,
sk_c1 = multiply(inverse(sF1),identity),
inference(superposition,[],[f210,f197]) ).
fof(f197,plain,
identity = multiply(sF1,sk_c1),
inference(superposition,[],[f2,f43]) ).
fof(f614,plain,
( spl12_23
| ~ spl12_22 ),
inference(avatar_split_clause,[],[f608,f464,f468]) ).
fof(f468,plain,
( spl12_23
<=> identity = multiply(identity,sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_23])]) ).
fof(f608,plain,
( identity = multiply(identity,sk_c1)
| ~ spl12_22 ),
inference(backward_demodulation,[],[f197,f465]) ).
fof(f610,plain,
( spl12_19
| ~ spl12_22 ),
inference(avatar_split_clause,[],[f609,f464,f376]) ).
fof(f376,plain,
( spl12_19
<=> identity = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f609,plain,
( identity = inverse(sk_c1)
| ~ spl12_22 ),
inference(backward_demodulation,[],[f43,f465]) ).
fof(f552,plain,
( spl12_27
| ~ spl12_2
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(avatar_split_clause,[],[f551,f152,f147,f130,f124,f110,f96,f488]) ).
fof(f124,plain,
( spl12_8
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f147,plain,
( spl12_11
<=> sk_c7 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f551,plain,
( identity = sk_c1
| ~ spl12_2
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f240,f548]) ).
fof(f548,plain,
( ! [X0] : multiply(inverse(sF1),X0) = X0
| ~ spl12_2
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f505,f544]) ).
fof(f544,plain,
( ! [X13] : multiply(sk_c8,X13) = X13
| ~ spl12_2
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f543,f1]) ).
fof(f543,plain,
( ! [X13] : multiply(sk_c8,X13) = multiply(identity,X13)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f542,f513]) ).
fof(f513,plain,
( identity = sk_c5
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f512,f2]) ).
fof(f512,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f231,f493]) ).
fof(f493,plain,
( identity = sk_c7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f492,f2]) ).
fof(f492,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f232,f246]) ).
fof(f246,plain,
( sk_c8 = sk_c6
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f191,f245]) ).
fof(f245,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl12_8
| ~ spl12_11 ),
inference(forward_demodulation,[],[f236,f193]) ).
fof(f193,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl12_8 ),
inference(backward_demodulation,[],[f50,f126]) ).
fof(f126,plain,
( sk_c8 = sF6
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f50,plain,
inverse(sk_c4) = sF6,
introduced(function_definition,[]) ).
fof(f236,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c7)
| ~ spl12_11 ),
inference(superposition,[],[f210,f188]) ).
fof(f188,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl12_11 ),
inference(backward_demodulation,[],[f59,f149]) ).
fof(f149,plain,
( sk_c7 = sF10
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f59,plain,
multiply(sk_c4,sk_c8) = sF10,
introduced(function_definition,[]) ).
fof(f191,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl12_9 ),
inference(backward_demodulation,[],[f45,f132]) ).
fof(f132,plain,
( sk_c6 = sF2
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f232,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c6)
| ~ spl12_9 ),
inference(superposition,[],[f210,f191]) ).
fof(f542,plain,
( ! [X13] : multiply(sk_c8,X13) = multiply(sk_c5,X13)
| ~ spl12_2
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f541,f1]) ).
fof(f541,plain,
( ! [X13] : multiply(sk_c8,X13) = multiply(sk_c5,multiply(identity,X13))
| ~ spl12_2
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f255,f493]) ).
fof(f255,plain,
( ! [X13] : multiply(sk_c8,X13) = multiply(sk_c5,multiply(sk_c7,X13))
| ~ spl12_2
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f207,f246]) ).
fof(f207,plain,
( ! [X13] : multiply(sk_c5,multiply(sk_c7,X13)) = multiply(sk_c6,X13)
| ~ spl12_2 ),
inference(superposition,[],[f3,f192]) ).
fof(f192,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl12_2 ),
inference(backward_demodulation,[],[f42,f98]) ).
fof(f98,plain,
( sk_c6 = sF0
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f505,plain,
( ! [X0] : multiply(inverse(sF1),X0) = multiply(sk_c8,X0)
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f450,f504]) ).
fof(f504,plain,
( ! [X14] : multiply(sk_c8,X14) = multiply(sk_c1,X14)
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f503,f1]) ).
fof(f503,plain,
( ! [X14] : multiply(sk_c1,multiply(identity,X14)) = multiply(sk_c8,X14)
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f502,f154]) ).
fof(f502,plain,
( ! [X14] : multiply(sk_c1,multiply(identity,X14)) = multiply(sF8,X14)
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f208,f493]) ).
fof(f208,plain,
! [X14] : multiply(sF8,X14) = multiply(sk_c1,multiply(sk_c7,X14)),
inference(superposition,[],[f3,f54]) ).
fof(f450,plain,
! [X0] : multiply(inverse(sF1),X0) = multiply(sk_c1,X0),
inference(forward_demodulation,[],[f449,f1]) ).
fof(f449,plain,
! [X0] : multiply(inverse(sF1),multiply(identity,X0)) = multiply(sk_c1,X0),
inference(superposition,[],[f3,f240]) ).
fof(f538,plain,
( spl12_22
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(avatar_split_clause,[],[f537,f147,f136,f130,f124,f464]) ).
fof(f537,plain,
( identity = sF1
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f138,f493]) ).
fof(f471,plain,
( ~ spl12_22
| ~ spl12_23
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f462,f180,f147,f130,f124,f110,f101,f96,f468,f464]) ).
fof(f462,plain,
( identity != multiply(identity,sk_c1)
| identity != sF1
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_16 ),
inference(forward_demodulation,[],[f455,f43]) ).
fof(f455,plain,
( identity != multiply(identity,sk_c1)
| identity != inverse(sk_c1)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_16 ),
inference(superposition,[],[f438,f443]) ).
fof(f443,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl12_3
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f262,f441]) ).
fof(f441,plain,
( sk_c1 = sF8
| ~ spl12_3
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f439,f240]) ).
fof(f439,plain,
( sF8 = multiply(inverse(sF1),identity)
| ~ spl12_3
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(superposition,[],[f210,f328]) ).
fof(f328,plain,
( identity = multiply(sF1,sF8)
| ~ spl12_3
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f327,f260]) ).
fof(f260,plain,
( identity = sk_c7
| ~ spl12_3
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f259,f253]) ).
fof(f253,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl12_3
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f194,f246]) ).
fof(f194,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl12_3 ),
inference(superposition,[],[f2,f189]) ).
fof(f189,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl12_3 ),
inference(backward_demodulation,[],[f46,f103]) ).
fof(f103,plain,
( sk_c6 = sF3
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f259,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl12_3
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f244,f246]) ).
fof(f244,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl12_3
| ~ spl12_9 ),
inference(forward_demodulation,[],[f232,f189]) ).
fof(f262,plain,
( multiply(sk_c1,identity) = sF8
| ~ spl12_3
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f54,f260]) ).
fof(f438,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_16 ),
inference(forward_demodulation,[],[f437,f260]) ).
fof(f437,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(identity,multiply(X5,identity)) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_16 ),
inference(forward_demodulation,[],[f436,f297]) ).
fof(f297,plain,
( identity = sk_c8
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f296,f1]) ).
fof(f296,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f273,f292]) ).
fof(f292,plain,
( identity = sk_c5
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f291,f2]) ).
fof(f291,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f231,f260]) ).
fof(f273,plain,
( sk_c8 = multiply(sk_c5,identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f252,f260]) ).
fof(f252,plain,
( sk_c8 = multiply(sk_c5,sk_c7)
| ~ spl12_2
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f192,f246]) ).
fof(f436,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| identity != inverse(X5) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_16 ),
inference(forward_demodulation,[],[f181,f297]) ).
fof(f461,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_16 ),
inference(avatar_contradiction_clause,[],[f460]) ).
fof(f460,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_16 ),
inference(subsumption_resolution,[],[f459,f308]) ).
fof(f308,plain,
( identity = inverse(identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f251,f297]) ).
fof(f251,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl12_3
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f189,f246]) ).
fof(f459,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_16 ),
inference(forward_demodulation,[],[f458,f308]) ).
fof(f458,plain,
( identity != inverse(inverse(identity))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_16 ),
inference(subsumption_resolution,[],[f453,f1]) ).
fof(f453,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_16 ),
inference(superposition,[],[f438,f2]) ).
fof(f435,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_15 ),
inference(avatar_contradiction_clause,[],[f434]) ).
fof(f434,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_15 ),
inference(subsumption_resolution,[],[f433,f308]) ).
fof(f433,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_15 ),
inference(forward_demodulation,[],[f427,f308]) ).
fof(f427,plain,
( identity != inverse(inverse(identity))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_15 ),
inference(trivial_inequality_removal,[],[f424]) ).
fof(f424,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_15 ),
inference(superposition,[],[f421,f2]) ).
fof(f421,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_15 ),
inference(forward_demodulation,[],[f420,f260]) ).
fof(f420,plain,
( ! [X6] :
( sk_c7 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_15 ),
inference(forward_demodulation,[],[f419,f297]) ).
fof(f419,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,identity) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_15 ),
inference(forward_demodulation,[],[f178,f297]) ).
fof(f418,plain,
( ~ spl12_20
| ~ spl12_19
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f404,f174,f147,f130,f124,f110,f101,f96,f376,f380]) ).
fof(f404,plain,
( identity != inverse(sk_c1)
| identity != sF8
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_14 ),
inference(superposition,[],[f391,f262]) ).
fof(f391,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_14 ),
inference(forward_demodulation,[],[f390,f297]) ).
fof(f390,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl12_3
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_14 ),
inference(forward_demodulation,[],[f389,f260]) ).
fof(f389,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl12_3
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_14 ),
inference(forward_demodulation,[],[f175,f260]) ).
fof(f412,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_14 ),
inference(avatar_contradiction_clause,[],[f411]) ).
fof(f411,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f410,f308]) ).
fof(f410,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_14 ),
inference(forward_demodulation,[],[f406,f308]) ).
fof(f406,plain,
( identity != inverse(inverse(identity))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_14 ),
inference(trivial_inequality_removal,[],[f403]) ).
fof(f403,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_14 ),
inference(superposition,[],[f391,f2]) ).
fof(f388,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f387,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f386,f308]) ).
fof(f386,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f364,f308]) ).
fof(f364,plain,
( identity != inverse(inverse(identity))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_13 ),
inference(trivial_inequality_removal,[],[f361]) ).
fof(f361,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_13 ),
inference(superposition,[],[f346,f2]) ).
fof(f346,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f345,f303]) ).
fof(f303,plain,
( identity = sk_c6
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f246,f297]) ).
fof(f345,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c6 != multiply(X7,identity) )
| ~ spl12_3
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f344,f260]) ).
fof(f344,plain,
( ! [X7] :
( sk_c6 != multiply(X7,sk_c7)
| identity != inverse(X7) )
| ~ spl12_3
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f172,f260]) ).
fof(f281,plain,
( spl12_1
| ~ spl12_3
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f280,plain,
( $false
| spl12_1
| ~ spl12_3
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(subsumption_resolution,[],[f279,f247]) ).
fof(f247,plain,
( sk_c8 != sF4
| spl12_1
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f93,f246]) ).
fof(f93,plain,
( sk_c6 != sF4
| spl12_1 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f279,plain,
( sk_c8 = sF4
| ~ spl12_3
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f261,f1]) ).
fof(f261,plain,
( multiply(identity,sk_c8) = sF4
| ~ spl12_3
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f47,f260]) ).
fof(f187,plain,
( spl12_11
| spl12_10 ),
inference(avatar_split_clause,[],[f67,f136,f147]) ).
fof(f67,plain,
( sk_c7 = sF1
| sk_c7 = sF10 ),
inference(definition_folding,[],[f17,f43,f59]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f186,plain,
( spl12_3
| spl12_12 ),
inference(avatar_split_clause,[],[f64,f152,f101]) ).
fof(f64,plain,
( sk_c8 = sF8
| sk_c6 = sF3 ),
inference(definition_folding,[],[f13,f54,f46]) ).
fof(f13,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f185,plain,
( spl12_12
| spl12_2 ),
inference(avatar_split_clause,[],[f55,f96,f152]) ).
fof(f55,plain,
( sk_c6 = sF0
| sk_c8 = sF8 ),
inference(definition_folding,[],[f14,f42,f54]) ).
fof(f14,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f184,plain,
( spl12_8
| spl12_4 ),
inference(avatar_split_clause,[],[f83,f105,f124]) ).
fof(f83,plain,
( sk_c3 = sF11
| sk_c8 = sF6 ),
inference(definition_folding,[],[f30,f50,f61]) ).
fof(f30,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f183,plain,
( spl12_2
| spl12_4 ),
inference(avatar_split_clause,[],[f77,f105,f96]) ).
fof(f77,plain,
( sk_c3 = sF11
| sk_c6 = sF0 ),
inference(definition_folding,[],[f32,f61,f42]) ).
fof(f32,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f182,plain,
( spl12_13
| spl12_14
| ~ spl12_3
| spl12_15
| ~ spl12_1
| spl12_16
| ~ spl12_9 ),
inference(avatar_split_clause,[],[f48,f130,f180,f92,f177,f101,f174,f171]) ).
fof(f48,plain,
! [X3,X6,X7,X5] :
( sk_c6 != sF2
| sk_c8 != inverse(X5)
| sk_c6 != sF4
| sk_c8 != inverse(X6)
| sk_c6 != sF3
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X7)
| sk_c7 != multiply(X6,sk_c8)
| sk_c6 != multiply(X7,sk_c7)
| sk_c7 != inverse(X3) ),
inference(definition_folding,[],[f41,f47,f46,f45]) ).
fof(f41,plain,
! [X3,X6,X7,X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c7 != inverse(X3)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X6,sk_c8)
| sk_c6 != multiply(X7,sk_c7)
| sk_c6 != inverse(sk_c8)
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X6)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != inverse(X7) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != multiply(sk_c8,X4)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(X6,sk_c8)
| sk_c6 != multiply(X7,sk_c7)
| multiply(X5,sk_c8) != X4
| sk_c6 != inverse(sk_c8)
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X6)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != inverse(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f169,plain,
( spl12_5
| spl12_12 ),
inference(avatar_split_clause,[],[f79,f152,f110]) ).
fof(f79,plain,
( sk_c8 = sF8
| sk_c7 = sF7 ),
inference(definition_folding,[],[f15,f54,f52]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f168,plain,
( spl12_3
| spl12_10 ),
inference(avatar_split_clause,[],[f63,f136,f101]) ).
fof(f63,plain,
( sk_c7 = sF1
| sk_c6 = sF3 ),
inference(definition_folding,[],[f19,f43,f46]) ).
fof(f19,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f167,plain,
( spl12_1
| spl12_9 ),
inference(avatar_split_clause,[],[f81,f130,f92]) ).
fof(f81,plain,
( sk_c6 = sF2
| sk_c6 = sF4 ),
inference(definition_folding,[],[f4,f47,f45]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f166,plain,
( spl12_1
| spl12_11 ),
inference(avatar_split_clause,[],[f72,f147,f92]) ).
fof(f72,plain,
( sk_c7 = sF10
| sk_c6 = sF4 ),
inference(definition_folding,[],[f5,f47,f59]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f165,plain,
( spl12_8
| spl12_7 ),
inference(avatar_split_clause,[],[f51,f119,f124]) ).
fof(f51,plain,
( sk_c7 = sF5
| sk_c8 = sF6 ),
inference(definition_folding,[],[f24,f50,f49]) ).
fof(f24,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f163,plain,
( spl12_11
| spl12_7 ),
inference(avatar_split_clause,[],[f60,f119,f147]) ).
fof(f60,plain,
( sk_c7 = sF5
| sk_c7 = sF10 ),
inference(definition_folding,[],[f23,f59,f49]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f162,plain,
( spl12_9
| spl12_12 ),
inference(avatar_split_clause,[],[f70,f152,f130]) ).
fof(f70,plain,
( sk_c8 = sF8
| sk_c6 = sF2 ),
inference(definition_folding,[],[f10,f45,f54]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f161,plain,
( spl12_11
| spl12_12 ),
inference(avatar_split_clause,[],[f89,f152,f147]) ).
fof(f89,plain,
( sk_c8 = sF8
| sk_c7 = sF10 ),
inference(definition_folding,[],[f11,f54,f59]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f160,plain,
( spl12_6
| spl12_9 ),
inference(avatar_split_clause,[],[f78,f130,f114]) ).
fof(f78,plain,
( sk_c6 = sF2
| sk_c8 = sF9 ),
inference(definition_folding,[],[f34,f56,f45]) ).
fof(f34,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f159,plain,
( spl12_10
| spl12_9 ),
inference(avatar_split_clause,[],[f75,f130,f136]) ).
fof(f75,plain,
( sk_c6 = sF2
| sk_c7 = sF1 ),
inference(definition_folding,[],[f16,f45,f43]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f158,plain,
( spl12_3
| spl12_1 ),
inference(avatar_split_clause,[],[f80,f92,f101]) ).
fof(f80,plain,
( sk_c6 = sF4
| sk_c6 = sF3 ),
inference(definition_folding,[],[f7,f47,f46]) ).
fof(f7,axiom,
( sk_c6 = inverse(sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f157,plain,
( spl12_8
| spl12_10 ),
inference(avatar_split_clause,[],[f71,f136,f124]) ).
fof(f71,plain,
( sk_c7 = sF1
| sk_c8 = sF6 ),
inference(definition_folding,[],[f18,f50,f43]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f156,plain,
( spl12_11
| spl12_4 ),
inference(avatar_split_clause,[],[f76,f105,f147]) ).
fof(f76,plain,
( sk_c3 = sF11
| sk_c7 = sF10 ),
inference(definition_folding,[],[f29,f61,f59]) ).
fof(f29,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f155,plain,
( spl12_8
| spl12_12 ),
inference(avatar_split_clause,[],[f65,f152,f124]) ).
fof(f65,plain,
( sk_c8 = sF8
| sk_c8 = sF6 ),
inference(definition_folding,[],[f12,f54,f50]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f150,plain,
( spl12_11
| spl12_6 ),
inference(avatar_split_clause,[],[f73,f114,f147]) ).
fof(f73,plain,
( sk_c8 = sF9
| sk_c7 = sF10 ),
inference(definition_folding,[],[f35,f56,f59]) ).
fof(f35,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f145,plain,
( spl12_3
| spl12_7 ),
inference(avatar_split_clause,[],[f74,f119,f101]) ).
fof(f74,plain,
( sk_c7 = sF5
| sk_c6 = sF3 ),
inference(definition_folding,[],[f25,f46,f49]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c6 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f144,plain,
( spl12_6
| spl12_8 ),
inference(avatar_split_clause,[],[f84,f124,f114]) ).
fof(f84,plain,
( sk_c8 = sF6
| sk_c8 = sF9 ),
inference(definition_folding,[],[f36,f50,f56]) ).
fof(f36,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f142,plain,
( spl12_10
| spl12_2 ),
inference(avatar_split_clause,[],[f44,f96,f136]) ).
fof(f44,plain,
( sk_c6 = sF0
| sk_c7 = sF1 ),
inference(definition_folding,[],[f20,f43,f42]) ).
fof(f20,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f141,plain,
( spl12_5
| spl12_7 ),
inference(avatar_split_clause,[],[f68,f119,f110]) ).
fof(f68,plain,
( sk_c7 = sF5
| sk_c7 = sF7 ),
inference(definition_folding,[],[f27,f49,f52]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f140,plain,
( spl12_9
| spl12_7 ),
inference(avatar_split_clause,[],[f82,f119,f130]) ).
fof(f82,plain,
( sk_c7 = sF5
| sk_c6 = sF2 ),
inference(definition_folding,[],[f22,f49,f45]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f139,plain,
( spl12_5
| spl12_10 ),
inference(avatar_split_clause,[],[f53,f136,f110]) ).
fof(f53,plain,
( sk_c7 = sF1
| sk_c7 = sF7 ),
inference(definition_folding,[],[f21,f43,f52]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f134,plain,
( spl12_3
| spl12_6 ),
inference(avatar_split_clause,[],[f57,f114,f101]) ).
fof(f57,plain,
( sk_c8 = sF9
| sk_c6 = sF3 ),
inference(definition_folding,[],[f37,f46,f56]) ).
fof(f37,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c6 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f133,plain,
( spl12_4
| spl12_9 ),
inference(avatar_split_clause,[],[f62,f130,f105]) ).
fof(f62,plain,
( sk_c6 = sF2
| sk_c3 = sF11 ),
inference(definition_folding,[],[f28,f61,f45]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f128,plain,
( spl12_4
| spl12_5 ),
inference(avatar_split_clause,[],[f86,f110,f105]) ).
fof(f86,plain,
( sk_c7 = sF7
| sk_c3 = sF11 ),
inference(definition_folding,[],[f33,f61,f52]) ).
fof(f33,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f127,plain,
( spl12_8
| spl12_1 ),
inference(avatar_split_clause,[],[f58,f92,f124]) ).
fof(f58,plain,
( sk_c6 = sF4
| sk_c8 = sF6 ),
inference(definition_folding,[],[f6,f47,f50]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f117,plain,
( spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f90,f114,f110]) ).
fof(f90,plain,
( sk_c8 = sF9
| sk_c7 = sF7 ),
inference(definition_folding,[],[f39,f52,f56]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP324-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 22:33:17 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (29036)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.49 % (29056)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.49 % (29045)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (29056)Instruction limit reached!
% 0.19/0.51 % (29056)------------------------------
% 0.19/0.51 % (29056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (29056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (29056)Termination reason: Unknown
% 0.19/0.51 % (29056)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (29056)Memory used [KB]: 1407
% 0.19/0.51 % (29056)Time elapsed: 0.005 s
% 0.19/0.51 % (29056)Instructions burned: 6 (million)
% 0.19/0.51 % (29056)------------------------------
% 0.19/0.51 % (29056)------------------------------
% 0.19/0.51 % (29041)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.40/0.52 % (29048)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)
% 1.40/0.52 % (29040)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)
% 1.40/0.52 % (29047)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)
% 1.40/0.52 % (29044)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)
% 1.40/0.52 % (29044)Instruction limit reached!
% 1.40/0.52 % (29044)------------------------------
% 1.40/0.52 % (29044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.52 % (29044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.52 % (29044)Termination reason: Unknown
% 1.40/0.52 % (29044)Termination phase: Saturation
% 1.40/0.52
% 1.40/0.52 % (29044)Memory used [KB]: 5884
% 1.40/0.52 % (29044)Time elapsed: 0.133 s
% 1.40/0.52 % (29044)Instructions burned: 4 (million)
% 1.40/0.52 % (29044)------------------------------
% 1.40/0.52 % (29044)------------------------------
% 1.40/0.52 % (29043)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)
% 1.40/0.52 % (29042)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)
% 1.40/0.53 % (29057)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)
% 1.40/0.53 % (29052)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)
% 1.40/0.53 % (29036)First to succeed.
% 1.40/0.53 % (29037)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)
% 1.40/0.53 % (29052)Instruction limit reached!
% 1.40/0.53 % (29052)------------------------------
% 1.40/0.53 % (29052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (29052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (29052)Termination reason: Unknown
% 1.40/0.53 % (29052)Termination phase: Saturation
% 1.40/0.53
% 1.40/0.53 % (29052)Memory used [KB]: 1279
% 1.40/0.53 % (29052)Time elapsed: 0.002 s
% 1.40/0.53 % (29052)Instructions burned: 3 (million)
% 1.40/0.53 % (29052)------------------------------
% 1.40/0.53 % (29052)------------------------------
% 1.40/0.53 % (29059)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)
% 1.40/0.53 % (29039)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)
% 1.40/0.53 % (29059)Refutation not found, incomplete strategy% (29059)------------------------------
% 1.40/0.53 % (29059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (29059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (29059)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.53
% 1.40/0.53 % (29059)Memory used [KB]: 5884
% 1.40/0.53 % (29059)Time elapsed: 0.100 s
% 1.40/0.53 % (29059)Instructions burned: 3 (million)
% 1.40/0.53 % (29059)------------------------------
% 1.40/0.53 % (29059)------------------------------
% 1.40/0.53 % (29060)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)
% 1.40/0.53 % (29062)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)
% 1.40/0.53 % (29039)Refutation not found, incomplete strategy% (29039)------------------------------
% 1.40/0.53 % (29039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (29039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (29039)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.53
% 1.40/0.53 % (29039)Memory used [KB]: 5884
% 1.40/0.53 % (29039)Time elapsed: 0.141 s
% 1.40/0.53 % (29039)Instructions burned: 4 (million)
% 1.40/0.53 % (29039)------------------------------
% 1.40/0.53 % (29039)------------------------------
% 1.53/0.53 % (29038)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)
% 1.53/0.53 % (29051)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)
% 1.53/0.53 % (29038)Instruction limit reached!
% 1.53/0.53 % (29038)------------------------------
% 1.53/0.53 % (29038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.53 % (29038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.53 % (29038)Termination reason: Unknown
% 1.53/0.53 % (29038)Termination phase: Saturation
% 1.53/0.53
% 1.53/0.53 % (29038)Memory used [KB]: 5884
% 1.53/0.53 % (29038)Time elapsed: 0.003 s
% 1.53/0.53 % (29038)Instructions burned: 5 (million)
% 1.53/0.53 % (29038)------------------------------
% 1.53/0.53 % (29038)------------------------------
% 1.53/0.54 % (29061)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)
% 1.53/0.54 % (29051)Instruction limit reached!
% 1.53/0.54 % (29051)------------------------------
% 1.53/0.54 % (29051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.54 % (29051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.54 % (29051)Termination reason: Unknown
% 1.53/0.54 % (29051)Termination phase: Finite model building preprocessing
% 1.53/0.54
% 1.53/0.54 % (29051)Memory used [KB]: 6012
% 1.53/0.54 % (29051)Time elapsed: 0.004 s
% 1.53/0.54 % (29051)Instructions burned: 6 (million)
% 1.53/0.54 % (29051)------------------------------
% 1.53/0.54 % (29051)------------------------------
% 1.53/0.54 % (29054)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)
% 1.53/0.54 % (29063)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)
% 1.53/0.54 % (29053)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.53/0.54 % (29049)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)
% 1.53/0.54 % (29058)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)
% 1.53/0.54 % (29048)Instruction limit reached!
% 1.53/0.54 % (29048)------------------------------
% 1.53/0.54 % (29048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.54 % (29048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.54 % (29048)Termination reason: Unknown
% 1.53/0.54 % (29048)Termination phase: Saturation
% 1.53/0.54
% 1.53/0.54 % (29048)Memory used [KB]: 5884
% 1.53/0.54 % (29048)Time elapsed: 0.135 s
% 1.53/0.54 % (29048)Instructions burned: 6 (million)
% 1.53/0.54 % (29048)------------------------------
% 1.53/0.54 % (29048)------------------------------
% 1.53/0.54 % (29049)Instruction limit reached!
% 1.53/0.54 % (29049)------------------------------
% 1.53/0.54 % (29049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.54 % (29049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.54 % (29049)Termination reason: Unknown
% 1.53/0.54 % (29049)Termination phase: Saturation
% 1.53/0.54
% 1.53/0.54 % (29049)Memory used [KB]: 5884
% 1.53/0.54 % (29049)Time elapsed: 0.003 s
% 1.53/0.54 % (29049)Instructions burned: 3 (million)
% 1.53/0.54 % (29049)------------------------------
% 1.53/0.54 % (29049)------------------------------
% 1.53/0.54 % (29064)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)
% 1.53/0.54 % (29040)Refutation not found, incomplete strategy% (29040)------------------------------
% 1.53/0.54 % (29040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.54 % (29040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.54 % (29040)Termination reason: Refutation not found, incomplete strategy
% 1.53/0.54
% 1.53/0.54 % (29040)Memory used [KB]: 5884
% 1.53/0.54 % (29040)Time elapsed: 0.150 s
% 1.53/0.54 % (29040)Instructions burned: 5 (million)
% 1.53/0.54 % (29040)------------------------------
% 1.53/0.54 % (29040)------------------------------
% 1.53/0.54 % (29055)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)
% 1.53/0.54 % (29046)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)
% 1.53/0.54 % (29064)Refutation not found, incomplete strategy% (29064)------------------------------
% 1.53/0.54 % (29064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.54 % (29064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.54 % (29064)Termination reason: Refutation not found, incomplete strategy
% 1.53/0.54
% 1.53/0.54 % (29064)Memory used [KB]: 5884
% 1.53/0.54 % (29064)Time elapsed: 0.153 s
% 1.53/0.54 % (29064)Instructions burned: 4 (million)
% 1.53/0.54 % (29064)------------------------------
% 1.53/0.54 % (29064)------------------------------
% 1.53/0.54 % (29057)Refutation not found, incomplete strategy% (29057)------------------------------
% 1.53/0.54 % (29057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.54 % (29057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.54 % (29057)Termination reason: Refutation not found, incomplete strategy
% 1.53/0.54
% 1.53/0.54 % (29057)Memory used [KB]: 5884
% 1.53/0.54 % (29057)Time elapsed: 0.155 s
% 1.53/0.54 % (29057)Instructions burned: 3 (million)
% 1.53/0.54 % (29057)------------------------------
% 1.53/0.54 % (29057)------------------------------
% 1.53/0.54 % (29046)Instruction limit reached!
% 1.53/0.54 % (29046)------------------------------
% 1.53/0.54 % (29046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.54 % (29046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.54 % (29046)Termination reason: Unknown
% 1.53/0.54 % (29046)Termination phase: Saturation
% 1.53/0.54
% 1.53/0.54 % (29046)Memory used [KB]: 5884
% 1.53/0.54 % (29046)Time elapsed: 0.152 s
% 1.53/0.54 % (29046)Instructions burned: 6 (million)
% 1.53/0.54 % (29046)------------------------------
% 1.53/0.54 % (29046)------------------------------
% 1.53/0.55 % (29047)Instruction limit reached!
% 1.53/0.55 % (29047)------------------------------
% 1.53/0.55 % (29047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55 % (29047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55 % (29047)Termination reason: Unknown
% 1.53/0.55 % (29047)Termination phase: Saturation
% 1.53/0.55
% 1.53/0.55 % (29047)Memory used [KB]: 6140
% 1.53/0.55 % (29047)Time elapsed: 0.139 s
% 1.53/0.55 % (29047)Instructions burned: 25 (million)
% 1.53/0.55 % (29047)------------------------------
% 1.53/0.55 % (29047)------------------------------
% 1.53/0.55 % (29053)Instruction limit reached!
% 1.53/0.55 % (29053)------------------------------
% 1.53/0.55 % (29053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55 % (29053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55 % (29053)Termination reason: Unknown
% 1.53/0.55 % (29053)Termination phase: Saturation
% 1.53/0.55
% 1.53/0.55 % (29053)Memory used [KB]: 6012
% 1.53/0.55 % (29053)Time elapsed: 0.132 s
% 1.53/0.55 % (29053)Instructions burned: 9 (million)
% 1.53/0.55 % (29053)------------------------------
% 1.53/0.55 % (29053)------------------------------
% 1.53/0.55 % (29036)Refutation found. Thanks to Tanya!
% 1.53/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.53/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.55 % (29036)------------------------------
% 1.53/0.55 % (29036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55 % (29036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55 % (29036)Termination reason: Refutation
% 1.53/0.55
% 1.53/0.55 % (29036)Memory used [KB]: 6396
% 1.53/0.55 % (29036)Time elapsed: 0.125 s
% 1.53/0.55 % (29036)Instructions burned: 36 (million)
% 1.53/0.55 % (29036)------------------------------
% 1.53/0.55 % (29036)------------------------------
% 1.53/0.55 % (29032)Success in time 0.206 s
%------------------------------------------------------------------------------