TSTP Solution File: GRP237-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP237-1 : 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 : n010.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 16:14:58 EDT 2022
% Result : Unsatisfiable 1.40s 0.59s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 78
% Syntax : Number of formulae : 421 ( 32 unt; 0 def)
% Number of atoms : 1467 ( 479 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1981 ( 935 ~;1020 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 27 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 22 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1223,plain,
$false,
inference(avatar_sat_refutation,[],[f101,f110,f119,f124,f129,f134,f135,f136,f137,f142,f143,f144,f149,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f185,f186,f217,f226,f231,f264,f282,f296,f332,f358,f384,f389,f401,f469,f490,f570,f601,f627,f699,f813,f982,f1029,f1054,f1058,f1089,f1099,f1138,f1176,f1191,f1215,f1220]) ).
fof(f1220,plain,
( ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| spl12_18
| ~ spl12_21
| ~ spl12_33 ),
inference(avatar_contradiction_clause,[],[f1219]) ).
fof(f1219,plain,
( $false
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| spl12_18
| ~ spl12_21
| ~ spl12_33 ),
inference(subsumption_resolution,[],[f1218,f1115]) ).
fof(f1115,plain,
( identity = sk_c8
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_21 ),
inference(backward_demodulation,[],[f911,f258]) ).
fof(f258,plain,
( identity = sk_c9
| ~ spl12_21 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f257,plain,
( spl12_21
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).
fof(f911,plain,
( sk_c9 = sk_c8
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f908,f824]) ).
fof(f824,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f814,f141]) ).
fof(f141,plain,
( sk_c7 = sF2
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl12_10
<=> sk_c7 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f814,plain,
( sk_c9 = multiply(sk_c9,sF2)
| ~ spl12_7 ),
inference(forward_demodulation,[],[f334,f123]) ).
fof(f123,plain,
( sk_c9 = sF1
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl12_7
<=> sk_c9 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f334,plain,
sk_c9 = multiply(sF1,sF2),
inference(forward_demodulation,[],[f322,f45]) ).
fof(f45,plain,
inverse(sk_c6) = sF1,
introduced(function_definition,[]) ).
fof(f322,plain,
sk_c9 = multiply(inverse(sk_c6),sF2),
inference(superposition,[],[f246,f47]) ).
fof(f47,plain,
multiply(sk_c6,sk_c9) = sF2,
introduced(function_definition,[]) ).
fof(f246,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f234,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f234,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f908,plain,
( sk_c8 = multiply(sk_c9,sk_c7)
| ~ spl12_5 ),
inference(forward_demodulation,[],[f50,f114]) ).
fof(f114,plain,
( sk_c8 = sF4
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl12_5
<=> sk_c8 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f50,plain,
multiply(sk_c9,sk_c7) = sF4,
introduced(function_definition,[]) ).
fof(f1218,plain,
( identity != sk_c8
| spl12_18
| ~ spl12_21
| ~ spl12_33 ),
inference(forward_demodulation,[],[f1217,f1]) ).
fof(f1217,plain,
( sk_c8 != multiply(identity,identity)
| spl12_18
| ~ spl12_21
| ~ spl12_33 ),
inference(forward_demodulation,[],[f1216,f258]) ).
fof(f1216,plain,
( sk_c8 != multiply(sk_c9,identity)
| spl12_18
| ~ spl12_33 ),
inference(forward_demodulation,[],[f216,f461]) ).
fof(f461,plain,
( identity = sF2
| ~ spl12_33 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f460,plain,
( spl12_33
<=> identity = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_33])]) ).
fof(f216,plain,
( sk_c8 != multiply(sk_c9,sF2)
| spl12_18 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f214,plain,
( spl12_18
<=> sk_c8 = multiply(sk_c9,sF2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
fof(f1215,plain,
( ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| spl12_20
| ~ spl12_21
| ~ spl12_25 ),
inference(avatar_contradiction_clause,[],[f1214]) ).
fof(f1214,plain,
( $false
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| spl12_20
| ~ spl12_21
| ~ spl12_25 ),
inference(subsumption_resolution,[],[f1213,f258]) ).
fof(f1213,plain,
( identity != sk_c9
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| spl12_20
| ~ spl12_21
| ~ spl12_25 ),
inference(forward_demodulation,[],[f225,f1134]) ).
fof(f1134,plain,
( identity = inverse(identity)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21
| ~ spl12_25 ),
inference(backward_demodulation,[],[f1120,f1129]) ).
fof(f1129,plain,
( identity = sk_c4
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21
| ~ spl12_25 ),
inference(backward_demodulation,[],[f1084,f1128]) ).
fof(f1128,plain,
( ! [X0] : multiply(sF7,X0) = X0
| ~ spl12_21 ),
inference(backward_demodulation,[],[f311,f1107]) ).
fof(f1107,plain,
( inverse(identity) = sF7
| ~ spl12_21 ),
inference(backward_demodulation,[],[f55,f258]) ).
fof(f55,plain,
inverse(sk_c9) = sF7,
introduced(function_definition,[]) ).
fof(f311,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f246,f1]) ).
fof(f1084,plain,
( sk_c4 = multiply(sF7,identity)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_25 ),
inference(backward_demodulation,[],[f1063,f55]) ).
fof(f1063,plain,
( sk_c4 = multiply(inverse(sk_c9),identity)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_25 ),
inference(backward_demodulation,[],[f542,f1061]) ).
fof(f1061,plain,
( sk_c9 = sk_c5
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_25 ),
inference(backward_demodulation,[],[f735,f1060]) ).
fof(f1060,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_25 ),
inference(forward_demodulation,[],[f1059,f96]) ).
fof(f96,plain,
( sk_c5 = sF8
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl12_1
<=> sk_c5 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f1059,plain,
( sk_c9 = multiply(sF8,sk_c9)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_25 ),
inference(forward_demodulation,[],[f276,f911]) ).
fof(f276,plain,
( sk_c9 = multiply(sF8,sk_c8)
| ~ spl12_25 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f275,plain,
( spl12_25
<=> sk_c9 = multiply(sF8,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_25])]) ).
fof(f735,plain,
( sk_c5 = multiply(sk_c5,sk_c9)
| ~ spl12_1
| ~ spl12_12 ),
inference(backward_demodulation,[],[f710,f96]) ).
fof(f710,plain,
( sk_c5 = multiply(sF8,sk_c9)
| ~ spl12_12 ),
inference(forward_demodulation,[],[f333,f153]) ).
fof(f153,plain,
( sk_c9 = sF6
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl12_12
<=> sk_c9 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f333,plain,
sk_c5 = multiply(sF8,sF6),
inference(forward_demodulation,[],[f320,f58]) ).
fof(f58,plain,
inverse(sk_c4) = sF8,
introduced(function_definition,[]) ).
fof(f320,plain,
sk_c5 = multiply(inverse(sk_c4),sF6),
inference(superposition,[],[f246,f54]) ).
fof(f54,plain,
multiply(sk_c4,sk_c5) = sF6,
introduced(function_definition,[]) ).
fof(f542,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl12_1 ),
inference(backward_demodulation,[],[f326,f96]) ).
fof(f326,plain,
sk_c4 = multiply(inverse(sF8),identity),
inference(superposition,[],[f246,f194]) ).
fof(f194,plain,
identity = multiply(sF8,sk_c4),
inference(superposition,[],[f2,f58]) ).
fof(f1120,plain,
( identity = inverse(sk_c4)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21
| ~ spl12_25 ),
inference(backward_demodulation,[],[f1066,f258]) ).
fof(f1066,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_25 ),
inference(backward_demodulation,[],[f545,f1061]) ).
fof(f545,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl12_1 ),
inference(backward_demodulation,[],[f58,f96]) ).
fof(f225,plain,
( sk_c9 != inverse(identity)
| spl12_20 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl12_20
<=> sk_c9 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).
fof(f1191,plain,
( ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21
| ~ spl12_25
| spl12_26 ),
inference(avatar_contradiction_clause,[],[f1190]) ).
fof(f1190,plain,
( $false
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21
| ~ spl12_25
| spl12_26 ),
inference(subsumption_resolution,[],[f1189,f258]) ).
fof(f1189,plain,
( identity != sk_c9
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21
| ~ spl12_25
| spl12_26 ),
inference(forward_demodulation,[],[f1188,f1]) ).
fof(f1188,plain,
( sk_c9 != multiply(identity,identity)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21
| ~ spl12_25
| spl12_26 ),
inference(forward_demodulation,[],[f1187,f1129]) ).
fof(f1187,plain,
( sk_c9 != multiply(sk_c4,identity)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21
| ~ spl12_25
| spl12_26 ),
inference(forward_demodulation,[],[f281,f1118]) ).
fof(f1118,plain,
( identity = sF8
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21
| ~ spl12_25 ),
inference(backward_demodulation,[],[f1062,f258]) ).
fof(f1062,plain,
( sk_c9 = sF8
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_25 ),
inference(backward_demodulation,[],[f96,f1061]) ).
fof(f281,plain,
( sk_c9 != multiply(sk_c4,sF8)
| spl12_26 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl12_26
<=> sk_c9 = multiply(sk_c4,sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_26])]) ).
fof(f1176,plain,
( ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_21
| spl12_29 ),
inference(avatar_contradiction_clause,[],[f1175]) ).
fof(f1175,plain,
( $false
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_21
| spl12_29 ),
inference(subsumption_resolution,[],[f1174,f258]) ).
fof(f1174,plain,
( identity != sk_c9
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_21
| spl12_29 ),
inference(forward_demodulation,[],[f1173,f1]) ).
fof(f1173,plain,
( sk_c9 != multiply(identity,identity)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_21
| spl12_29 ),
inference(forward_demodulation,[],[f295,f1115]) ).
fof(f295,plain,
( sk_c9 != multiply(sk_c8,sk_c8)
| spl12_29 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl12_29
<=> sk_c9 = multiply(sk_c8,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_29])]) ).
fof(f1138,plain,
( ~ spl12_1
| spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21
| ~ spl12_25 ),
inference(avatar_contradiction_clause,[],[f1137]) ).
fof(f1137,plain,
( $false
| ~ spl12_1
| spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21
| ~ spl12_25 ),
inference(subsumption_resolution,[],[f1127,f1135]) ).
fof(f1135,plain,
( identity = sF7
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_21
| ~ spl12_25 ),
inference(backward_demodulation,[],[f1107,f1134]) ).
fof(f1127,plain,
( identity != sF7
| spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_21 ),
inference(backward_demodulation,[],[f1100,f258]) ).
fof(f1100,plain,
( sk_c9 != sF7
| spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(forward_demodulation,[],[f99,f911]) ).
fof(f99,plain,
( sk_c8 != sF7
| spl12_2 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl12_2
<=> sk_c8 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f1099,plain,
( spl12_21
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_25 ),
inference(avatar_split_clause,[],[f1097,f275,f151,f139,f121,f112,f94,f257]) ).
fof(f1097,plain,
( identity = sk_c9
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_25 ),
inference(backward_demodulation,[],[f1090,f1094]) ).
fof(f1094,plain,
( ! [X12] : multiply(sk_c9,X12) = X12
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_25 ),
inference(backward_demodulation,[],[f1068,f1093]) ).
fof(f1093,plain,
( ! [X14] : multiply(sk_c4,multiply(sk_c9,X14)) = X14
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_25 ),
inference(forward_demodulation,[],[f1092,f1]) ).
fof(f1092,plain,
( ! [X14] : multiply(sk_c4,multiply(sk_c9,X14)) = multiply(identity,X14)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_25 ),
inference(forward_demodulation,[],[f1091,f1077]) ).
fof(f1077,plain,
( sk_c4 = sk_c6
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_25 ),
inference(forward_demodulation,[],[f799,f1063]) ).
fof(f799,plain,
( sk_c6 = multiply(inverse(sk_c9),identity)
| ~ spl12_7 ),
inference(forward_demodulation,[],[f325,f123]) ).
fof(f325,plain,
sk_c6 = multiply(inverse(sF1),identity),
inference(superposition,[],[f246,f195]) ).
fof(f195,plain,
identity = multiply(sF1,sk_c6),
inference(superposition,[],[f2,f45]) ).
fof(f1091,plain,
( ! [X14] : multiply(identity,X14) = multiply(sk_c6,multiply(sk_c9,X14))
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(forward_demodulation,[],[f530,f1075]) ).
fof(f1075,plain,
( identity = sk_c7
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(forward_demodulation,[],[f1074,f2]) ).
fof(f1074,plain,
( sk_c7 = multiply(inverse(sk_c9),sk_c9)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(forward_demodulation,[],[f315,f913]) ).
fof(f913,plain,
( sk_c9 = sF4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f114,f911]) ).
fof(f315,plain,
sk_c7 = multiply(inverse(sk_c9),sF4),
inference(superposition,[],[f246,f50]) ).
fof(f530,plain,
( ! [X14] : multiply(sk_c6,multiply(sk_c9,X14)) = multiply(sk_c7,X14)
| ~ spl12_10 ),
inference(forward_demodulation,[],[f241,f141]) ).
fof(f241,plain,
! [X14] : multiply(sk_c6,multiply(sk_c9,X14)) = multiply(sF2,X14),
inference(superposition,[],[f3,f47]) ).
fof(f1068,plain,
( ! [X12] : multiply(sk_c9,X12) = multiply(sk_c4,multiply(sk_c9,X12))
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_25 ),
inference(backward_demodulation,[],[f811,f1061]) ).
fof(f811,plain,
( ! [X12] : multiply(sk_c9,X12) = multiply(sk_c4,multiply(sk_c5,X12))
| ~ spl12_12 ),
inference(forward_demodulation,[],[f239,f153]) ).
fof(f239,plain,
! [X12] : multiply(sF6,X12) = multiply(sk_c4,multiply(sk_c5,X12)),
inference(superposition,[],[f3,f54]) ).
fof(f1090,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(forward_demodulation,[],[f824,f1075]) ).
fof(f1089,plain,
( spl12_21
| ~ spl12_3
| ~ spl12_32 ),
inference(avatar_split_clause,[],[f1088,f455,f103,f257]) ).
fof(f103,plain,
( spl12_3
<=> sk_c9 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f455,plain,
( spl12_32
<=> identity = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_32])]) ).
fof(f1088,plain,
( identity = sk_c9
| ~ spl12_3
| ~ spl12_32 ),
inference(backward_demodulation,[],[f105,f456]) ).
fof(f456,plain,
( identity = sF11
| ~ spl12_32 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f105,plain,
( sk_c9 = sF11
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f1058,plain,
( spl12_33
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(avatar_split_clause,[],[f1010,f139,f121,f112,f107,f98,f460]) ).
fof(f107,plain,
( spl12_4
<=> sk_c9 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f1010,plain,
( identity = sF2
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(forward_demodulation,[],[f141,f979]) ).
fof(f979,plain,
( identity = sk_c7
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(forward_demodulation,[],[f978,f936]) ).
fof(f936,plain,
( identity = multiply(sk_c9,sk_c9)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f819,f933]) ).
fof(f933,plain,
( sk_c9 = sk_c6
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f921,f932]) ).
fof(f932,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(forward_demodulation,[],[f919,f915]) ).
fof(f915,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f191,f911]) ).
fof(f191,plain,
( inverse(sk_c9) = sk_c8
| ~ spl12_2 ),
inference(backward_demodulation,[],[f55,f100]) ).
fof(f100,plain,
( sk_c8 = sF7
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f919,plain,
( sk_c9 = multiply(inverse(sk_c9),identity)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f319,f911]) ).
fof(f319,plain,
( sk_c9 = multiply(inverse(sk_c8),identity)
| ~ spl12_2 ),
inference(superposition,[],[f246,f193]) ).
fof(f193,plain,
( identity = multiply(sk_c8,sk_c9)
| ~ spl12_2 ),
inference(superposition,[],[f2,f191]) ).
fof(f921,plain,
( sk_c6 = multiply(sk_c9,identity)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f815,f911]) ).
fof(f815,plain,
( sk_c6 = multiply(sk_c8,identity)
| ~ spl12_2
| ~ spl12_7 ),
inference(forward_demodulation,[],[f799,f191]) ).
fof(f819,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_7 ),
inference(backward_demodulation,[],[f196,f816]) ).
fof(f816,plain,
( sk_c6 = sk_c1
| ~ spl12_2
| ~ spl12_4
| ~ spl12_7 ),
inference(backward_demodulation,[],[f330,f815]) ).
fof(f330,plain,
( sk_c1 = multiply(sk_c8,identity)
| ~ spl12_2
| ~ spl12_4 ),
inference(forward_demodulation,[],[f316,f191]) ).
fof(f316,plain,
( sk_c1 = multiply(inverse(sk_c9),identity)
| ~ spl12_4 ),
inference(superposition,[],[f246,f196]) ).
fof(f196,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl12_4 ),
inference(superposition,[],[f2,f189]) ).
fof(f189,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl12_4 ),
inference(backward_demodulation,[],[f61,f109]) ).
fof(f109,plain,
( sk_c9 = sF9
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f61,plain,
inverse(sk_c1) = sF9,
introduced(function_definition,[]) ).
fof(f978,plain,
( sk_c7 = multiply(sk_c9,sk_c9)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(forward_demodulation,[],[f977,f911]) ).
fof(f977,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(forward_demodulation,[],[f329,f913]) ).
fof(f329,plain,
( sk_c7 = multiply(sk_c8,sF4)
| ~ spl12_2 ),
inference(forward_demodulation,[],[f315,f191]) ).
fof(f1054,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| spl12_25 ),
inference(avatar_contradiction_clause,[],[f1053]) ).
fof(f1053,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| spl12_25 ),
inference(subsumption_resolution,[],[f1052,f1043]) ).
fof(f1043,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| spl12_25 ),
inference(backward_demodulation,[],[f1042,f96]) ).
fof(f1042,plain,
( sk_c9 != multiply(sF8,sk_c9)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| spl12_25 ),
inference(forward_demodulation,[],[f277,f911]) ).
fof(f277,plain,
( sk_c9 != multiply(sF8,sk_c8)
| spl12_25 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f1052,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(forward_demodulation,[],[f1051,f911]) ).
fof(f1051,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl12_3 ),
inference(forward_demodulation,[],[f68,f105]) ).
fof(f68,plain,
multiply(sk_c5,sk_c8) = sF11,
introduced(function_definition,[]) ).
fof(f1029,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| spl12_21
| ~ spl12_25 ),
inference(avatar_contradiction_clause,[],[f1028]) ).
fof(f1028,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| spl12_21
| ~ spl12_25 ),
inference(subsumption_resolution,[],[f1027,f259]) ).
fof(f259,plain,
( identity != sk_c9
| spl12_21 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f1027,plain,
( identity = sk_c9
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_25 ),
inference(forward_demodulation,[],[f1026,f2]) ).
fof(f1026,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c9)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_25 ),
inference(forward_demodulation,[],[f923,f992]) ).
fof(f992,plain,
( sk_c9 = sk_c5
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12
| ~ spl12_25 ),
inference(forward_demodulation,[],[f735,f920]) ).
fof(f920,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_25 ),
inference(backward_demodulation,[],[f734,f911]) ).
fof(f734,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl12_1
| ~ spl12_25 ),
inference(backward_demodulation,[],[f276,f96]) ).
fof(f923,plain,
( sk_c9 = multiply(inverse(sk_c5),sk_c9)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f905,f911]) ).
fof(f905,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c9)
| ~ spl12_3 ),
inference(forward_demodulation,[],[f321,f105]) ).
fof(f321,plain,
sk_c8 = multiply(inverse(sk_c5),sF11),
inference(superposition,[],[f246,f68]) ).
fof(f982,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| spl12_21 ),
inference(avatar_contradiction_clause,[],[f981]) ).
fof(f981,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| spl12_21 ),
inference(subsumption_resolution,[],[f980,f259]) ).
fof(f980,plain,
( identity = sk_c9
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f926,f979]) ).
fof(f926,plain,
( sk_c9 = sk_c7
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f825,f922]) ).
fof(f922,plain,
( sk_c9 = multiply(sk_c6,sk_c9)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f818,f911]) ).
fof(f818,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_7
| ~ spl12_9 ),
inference(backward_demodulation,[],[f702,f816]) ).
fof(f702,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl12_9 ),
inference(backward_demodulation,[],[f51,f133]) ).
fof(f133,plain,
( sk_c9 = sF5
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl12_9
<=> sk_c9 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f51,plain,
multiply(sk_c1,sk_c8) = sF5,
introduced(function_definition,[]) ).
fof(f825,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl12_10 ),
inference(backward_demodulation,[],[f47,f141]) ).
fof(f813,plain,
( spl12_3
| ~ spl12_1
| ~ spl12_25 ),
inference(avatar_split_clause,[],[f812,f275,f94,f103]) ).
fof(f812,plain,
( sk_c9 = sF11
| ~ spl12_1
| ~ spl12_25 ),
inference(backward_demodulation,[],[f68,f734]) ).
fof(f699,plain,
( ~ spl12_1
| ~ spl12_2
| ~ spl12_12
| ~ spl12_15
| ~ spl12_20
| ~ spl12_21
| ~ spl12_32 ),
inference(avatar_contradiction_clause,[],[f698]) ).
fof(f698,plain,
( $false
| ~ spl12_1
| ~ spl12_2
| ~ spl12_12
| ~ spl12_15
| ~ spl12_20
| ~ spl12_21
| ~ spl12_32 ),
inference(subsumption_resolution,[],[f693,f411]) ).
fof(f411,plain,
( identity = inverse(identity)
| ~ spl12_20
| ~ spl12_21 ),
inference(backward_demodulation,[],[f224,f258]) ).
fof(f224,plain,
( sk_c9 = inverse(identity)
| ~ spl12_20 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f693,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_2
| ~ spl12_12
| ~ spl12_15
| ~ spl12_21
| ~ spl12_32 ),
inference(trivial_inequality_removal,[],[f690]) ).
fof(f690,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl12_1
| ~ spl12_2
| ~ spl12_12
| ~ spl12_15
| ~ spl12_21
| ~ spl12_32 ),
inference(superposition,[],[f666,f1]) ).
fof(f666,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_1
| ~ spl12_2
| ~ spl12_12
| ~ spl12_15
| ~ spl12_21
| ~ spl12_32 ),
inference(backward_demodulation,[],[f593,f652]) ).
fof(f652,plain,
( identity = sk_c8
| ~ spl12_1
| ~ spl12_2
| ~ spl12_12
| ~ spl12_21
| ~ spl12_32 ),
inference(forward_demodulation,[],[f651,f2]) ).
fof(f651,plain,
( sk_c8 = multiply(inverse(identity),identity)
| ~ spl12_1
| ~ spl12_2
| ~ spl12_12
| ~ spl12_21
| ~ spl12_32 ),
inference(forward_demodulation,[],[f650,f606]) ).
fof(f606,plain,
( identity = sk_c5
| ~ spl12_1
| ~ spl12_2
| ~ spl12_12
| ~ spl12_21
| ~ spl12_32 ),
inference(backward_demodulation,[],[f541,f604]) ).
fof(f604,plain,
( ! [X13] : multiply(sk_c5,X13) = X13
| ~ spl12_2
| ~ spl12_21
| ~ spl12_32 ),
inference(forward_demodulation,[],[f603,f1]) ).
fof(f603,plain,
( ! [X13] : multiply(identity,X13) = multiply(sk_c5,X13)
| ~ spl12_2
| ~ spl12_21
| ~ spl12_32 ),
inference(backward_demodulation,[],[f495,f456]) ).
fof(f495,plain,
( ! [X13] : multiply(sF11,X13) = multiply(sk_c5,X13)
| ~ spl12_2
| ~ spl12_21 ),
inference(forward_demodulation,[],[f240,f485]) ).
fof(f485,plain,
( ! [X11] : multiply(sk_c8,X11) = X11
| ~ spl12_2
| ~ spl12_21 ),
inference(forward_demodulation,[],[f484,f1]) ).
fof(f484,plain,
( ! [X11] : multiply(sk_c8,multiply(identity,X11)) = X11
| ~ spl12_2
| ~ spl12_21 ),
inference(forward_demodulation,[],[f244,f258]) ).
fof(f244,plain,
( ! [X11] : multiply(sk_c8,multiply(sk_c9,X11)) = X11
| ~ spl12_2 ),
inference(forward_demodulation,[],[f238,f1]) ).
fof(f238,plain,
( ! [X11] : multiply(identity,X11) = multiply(sk_c8,multiply(sk_c9,X11))
| ~ spl12_2 ),
inference(superposition,[],[f3,f193]) ).
fof(f240,plain,
! [X13] : multiply(sF11,X13) = multiply(sk_c5,multiply(sk_c8,X13)),
inference(superposition,[],[f3,f68]) ).
fof(f541,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl12_1
| ~ spl12_12
| ~ spl12_21 ),
inference(backward_demodulation,[],[f521,f96]) ).
fof(f521,plain,
( sk_c5 = multiply(sF8,identity)
| ~ spl12_12
| ~ spl12_21 ),
inference(backward_demodulation,[],[f333,f520]) ).
fof(f520,plain,
( identity = sF6
| ~ spl12_12
| ~ spl12_21 ),
inference(forward_demodulation,[],[f153,f258]) ).
fof(f650,plain,
( sk_c8 = multiply(inverse(sk_c5),identity)
| ~ spl12_32 ),
inference(forward_demodulation,[],[f321,f456]) ).
fof(f593,plain,
( ! [X3] :
( identity != multiply(X3,sk_c8)
| identity != inverse(X3) )
| ~ spl12_15
| ~ spl12_21 ),
inference(forward_demodulation,[],[f428,f258]) ).
fof(f428,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c9 != multiply(X3,sk_c8) )
| ~ spl12_15
| ~ spl12_21 ),
inference(forward_demodulation,[],[f184,f258]) ).
fof(f184,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3) )
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl12_15
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f627,plain,
( ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| spl12_19
| ~ spl12_21 ),
inference(avatar_contradiction_clause,[],[f626]) ).
fof(f626,plain,
( $false
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| spl12_19
| ~ spl12_21 ),
inference(subsumption_resolution,[],[f625,f599]) ).
fof(f599,plain,
( identity != sk_c8
| spl12_19
| ~ spl12_21 ),
inference(forward_demodulation,[],[f598,f1]) ).
fof(f598,plain,
( sk_c8 != multiply(identity,identity)
| spl12_19
| ~ spl12_21 ),
inference(forward_demodulation,[],[f221,f258]) ).
fof(f221,plain,
( sk_c8 != multiply(sk_c9,sk_c9)
| spl12_19 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl12_19
<=> sk_c8 = multiply(sk_c9,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f625,plain,
( identity = sk_c8
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_21 ),
inference(forward_demodulation,[],[f114,f597]) ).
fof(f597,plain,
( identity = sF4
| ~ spl12_7
| ~ spl12_10
| ~ spl12_21 ),
inference(backward_demodulation,[],[f537,f596]) ).
fof(f596,plain,
( identity = sk_c7
| ~ spl12_7
| ~ spl12_10
| ~ spl12_21 ),
inference(forward_demodulation,[],[f595,f1]) ).
fof(f595,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl12_7
| ~ spl12_10
| ~ spl12_21 ),
inference(forward_demodulation,[],[f478,f585]) ).
fof(f585,plain,
( identity = sk_c6
| ~ spl12_7
| ~ spl12_21 ),
inference(forward_demodulation,[],[f582,f2]) ).
fof(f582,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl12_7
| ~ spl12_21 ),
inference(backward_demodulation,[],[f325,f579]) ).
fof(f579,plain,
( identity = sF1
| ~ spl12_7
| ~ spl12_21 ),
inference(forward_demodulation,[],[f123,f258]) ).
fof(f478,plain,
( sk_c7 = multiply(sk_c6,identity)
| ~ spl12_10
| ~ spl12_21 ),
inference(backward_demodulation,[],[f407,f141]) ).
fof(f407,plain,
( multiply(sk_c6,identity) = sF2
| ~ spl12_21 ),
inference(backward_demodulation,[],[f47,f258]) ).
fof(f537,plain,
( sk_c7 = sF4
| ~ spl12_21 ),
inference(forward_demodulation,[],[f536,f1]) ).
fof(f536,plain,
( multiply(identity,sk_c7) = sF4
| ~ spl12_21 ),
inference(forward_demodulation,[],[f50,f258]) ).
fof(f601,plain,
( spl12_33
| ~ spl12_7
| ~ spl12_10
| ~ spl12_21 ),
inference(avatar_split_clause,[],[f600,f257,f139,f121,f460]) ).
fof(f600,plain,
( identity = sF2
| ~ spl12_7
| ~ spl12_10
| ~ spl12_21 ),
inference(forward_demodulation,[],[f141,f596]) ).
fof(f570,plain,
( spl12_33
| ~ spl12_5
| ~ spl12_10
| ~ spl12_19
| ~ spl12_21 ),
inference(avatar_split_clause,[],[f568,f257,f219,f139,f112,f460]) ).
fof(f568,plain,
( identity = sF2
| ~ spl12_5
| ~ spl12_10
| ~ spl12_19
| ~ spl12_21 ),
inference(backward_demodulation,[],[f141,f563]) ).
fof(f563,plain,
( identity = sk_c7
| ~ spl12_5
| ~ spl12_19
| ~ spl12_21 ),
inference(backward_demodulation,[],[f537,f562]) ).
fof(f562,plain,
( identity = sF4
| ~ spl12_5
| ~ spl12_19
| ~ spl12_21 ),
inference(forward_demodulation,[],[f114,f432]) ).
fof(f432,plain,
( identity = sk_c8
| ~ spl12_19
| ~ spl12_21 ),
inference(forward_demodulation,[],[f431,f1]) ).
fof(f431,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl12_19
| ~ spl12_21 ),
inference(forward_demodulation,[],[f220,f258]) ).
fof(f220,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f490,plain,
( spl12_32
| ~ spl12_3
| ~ spl12_21 ),
inference(avatar_split_clause,[],[f489,f257,f103,f455]) ).
fof(f489,plain,
( identity = sF11
| ~ spl12_3
| ~ spl12_21 ),
inference(forward_demodulation,[],[f105,f258]) ).
fof(f469,plain,
( ~ spl12_6
| ~ spl12_8
| ~ spl12_11
| ~ spl12_15
| ~ spl12_20
| ~ spl12_21 ),
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f468,plain,
( $false
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11
| ~ spl12_15
| ~ spl12_20
| ~ spl12_21 ),
inference(subsumption_resolution,[],[f445,f411]) ).
fof(f445,plain,
( identity != inverse(identity)
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11
| ~ spl12_15
| ~ spl12_21 ),
inference(trivial_inequality_removal,[],[f440]) ).
fof(f440,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11
| ~ spl12_15
| ~ spl12_21 ),
inference(superposition,[],[f430,f1]) ).
fof(f430,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11
| ~ spl12_15
| ~ spl12_21 ),
inference(forward_demodulation,[],[f429,f258]) ).
fof(f429,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c9 != multiply(X3,identity) )
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11
| ~ spl12_15
| ~ spl12_21 ),
inference(forward_demodulation,[],[f428,f413]) ).
fof(f413,plain,
( identity = sk_c8
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11
| ~ spl12_21 ),
inference(backward_demodulation,[],[f336,f258]) ).
fof(f336,plain,
( sk_c9 = sk_c8
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11 ),
inference(backward_demodulation,[],[f187,f335]) ).
fof(f335,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl12_8
| ~ spl12_11 ),
inference(forward_demodulation,[],[f324,f188]) ).
fof(f188,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl12_11 ),
inference(backward_demodulation,[],[f44,f148]) ).
fof(f148,plain,
( sk_c9 = sF0
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl12_11
<=> sk_c9 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f44,plain,
inverse(sk_c2) = sF0,
introduced(function_definition,[]) ).
fof(f324,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c3)
| ~ spl12_8 ),
inference(superposition,[],[f246,f192]) ).
fof(f192,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl12_8 ),
inference(backward_demodulation,[],[f48,f128]) ).
fof(f128,plain,
( sk_c3 = sF3
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl12_8
<=> sk_c3 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f48,plain,
multiply(sk_c2,sk_c9) = sF3,
introduced(function_definition,[]) ).
fof(f187,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl12_6 ),
inference(backward_demodulation,[],[f63,f118]) ).
fof(f118,plain,
( sk_c8 = sF10
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl12_6
<=> sk_c8 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f63,plain,
multiply(sk_c9,sk_c3) = sF10,
introduced(function_definition,[]) ).
fof(f401,plain,
( spl12_20
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(avatar_split_clause,[],[f400,f146,f131,f126,f116,f107,f98,f223]) ).
fof(f400,plain,
( sk_c9 = inverse(identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f188,f396]) ).
fof(f396,plain,
( identity = sk_c2
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f395,f365]) ).
fof(f365,plain,
( ! [X15] : multiply(sk_c9,X15) = X15
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f361,f347]) ).
fof(f347,plain,
( ! [X11] : multiply(sk_c9,multiply(sk_c9,X11)) = X11
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11 ),
inference(backward_demodulation,[],[f244,f336]) ).
fof(f361,plain,
( ! [X15] : multiply(sk_c9,X15) = multiply(sk_c9,multiply(sk_c9,X15))
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f346,f360]) ).
fof(f360,plain,
( sk_c9 = sk_c1
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11 ),
inference(forward_demodulation,[],[f355,f359]) ).
fof(f359,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11 ),
inference(forward_demodulation,[],[f352,f342]) ).
fof(f342,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11 ),
inference(backward_demodulation,[],[f191,f336]) ).
fof(f352,plain,
( sk_c9 = multiply(inverse(sk_c9),identity)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11 ),
inference(backward_demodulation,[],[f319,f336]) ).
fof(f355,plain,
( sk_c1 = multiply(sk_c9,identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11 ),
inference(backward_demodulation,[],[f330,f336]) ).
fof(f346,plain,
( ! [X15] : multiply(sk_c9,X15) = multiply(sk_c1,multiply(sk_c9,X15))
| ~ spl12_6
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(backward_demodulation,[],[f242,f336]) ).
fof(f242,plain,
( ! [X15] : multiply(sk_c9,X15) = multiply(sk_c1,multiply(sk_c8,X15))
| ~ spl12_9 ),
inference(superposition,[],[f3,f190]) ).
fof(f190,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl12_9 ),
inference(backward_demodulation,[],[f51,f133]) ).
fof(f395,plain,
( sk_c2 = multiply(sk_c9,identity)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11 ),
inference(forward_demodulation,[],[f318,f342]) ).
fof(f318,plain,
( sk_c2 = multiply(inverse(sk_c9),identity)
| ~ spl12_11 ),
inference(superposition,[],[f246,f197]) ).
fof(f197,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl12_11 ),
inference(superposition,[],[f2,f188]) ).
fof(f389,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| spl12_27 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f388,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| spl12_27 ),
inference(subsumption_resolution,[],[f351,f365]) ).
fof(f351,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11
| spl12_27 ),
inference(backward_demodulation,[],[f286,f336]) ).
fof(f286,plain,
( sk_c9 != multiply(sk_c9,sk_c8)
| spl12_27 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl12_27
<=> sk_c9 = multiply(sk_c9,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_27])]) ).
fof(f384,plain,
( spl12_21
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(avatar_split_clause,[],[f383,f146,f131,f126,f116,f107,f98,f257]) ).
fof(f383,plain,
( identity = sk_c9
| ~ spl12_2
| ~ spl12_4
| ~ spl12_6
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11 ),
inference(forward_demodulation,[],[f380,f365]) ).
fof(f380,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11 ),
inference(backward_demodulation,[],[f335,f377]) ).
fof(f377,plain,
( identity = sk_c3
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11 ),
inference(forward_demodulation,[],[f353,f343]) ).
fof(f343,plain,
( identity = multiply(sk_c9,sk_c9)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11 ),
inference(backward_demodulation,[],[f193,f336]) ).
fof(f353,plain,
( sk_c3 = multiply(sk_c9,sk_c9)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11 ),
inference(backward_demodulation,[],[f328,f336]) ).
fof(f328,plain,
( sk_c3 = multiply(sk_c8,sk_c8)
| ~ spl12_2
| ~ spl12_6 ),
inference(forward_demodulation,[],[f317,f191]) ).
fof(f317,plain,
( sk_c3 = multiply(inverse(sk_c9),sk_c8)
| ~ spl12_6 ),
inference(superposition,[],[f246,f187]) ).
fof(f358,plain,
( ~ spl12_21
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11
| spl12_22 ),
inference(avatar_split_clause,[],[f357,f261,f146,f126,f116,f98,f257]) ).
fof(f261,plain,
( spl12_22
<=> sk_c9 = multiply(sk_c8,inverse(sk_c8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).
fof(f357,plain,
( identity != sk_c9
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11
| spl12_22 ),
inference(forward_demodulation,[],[f356,f343]) ).
fof(f356,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11
| spl12_22 ),
inference(backward_demodulation,[],[f348,f342]) ).
fof(f348,plain,
( sk_c9 != multiply(sk_c9,inverse(sk_c9))
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11
| spl12_22 ),
inference(backward_demodulation,[],[f263,f336]) ).
fof(f263,plain,
( sk_c9 != multiply(sk_c8,inverse(sk_c8))
| spl12_22 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f332,plain,
( spl12_19
| ~ spl12_4
| ~ spl12_9 ),
inference(avatar_split_clause,[],[f331,f131,f107,f219]) ).
fof(f331,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl12_4
| ~ spl12_9 ),
inference(forward_demodulation,[],[f323,f189]) ).
fof(f323,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c9)
| ~ spl12_9 ),
inference(superposition,[],[f246,f190]) ).
fof(f296,plain,
( ~ spl12_27
| ~ spl12_29
| ~ spl12_2
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f250,f180,f98,f293,f284]) ).
fof(f180,plain,
( spl12_14
<=> ! [X6] :
( sk_c9 != multiply(X6,inverse(X6))
| sk_c9 != multiply(inverse(X6),sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f250,plain,
( sk_c9 != multiply(sk_c8,sk_c8)
| sk_c9 != multiply(sk_c9,sk_c8)
| ~ spl12_2
| ~ spl12_14 ),
inference(superposition,[],[f181,f191]) ).
fof(f181,plain,
( ! [X6] :
( sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c9 != multiply(X6,inverse(X6)) )
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f282,plain,
( ~ spl12_25
| ~ spl12_26
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f251,f180,f279,f275]) ).
fof(f251,plain,
( sk_c9 != multiply(sk_c4,sF8)
| sk_c9 != multiply(sF8,sk_c8)
| ~ spl12_14 ),
inference(superposition,[],[f181,f58]) ).
fof(f264,plain,
( ~ spl12_21
| ~ spl12_22
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f255,f180,f261,f257]) ).
fof(f255,plain,
( sk_c9 != multiply(sk_c8,inverse(sk_c8))
| identity != sk_c9
| ~ spl12_14 ),
inference(superposition,[],[f181,f2]) ).
fof(f231,plain,
( ~ spl12_6
| ~ spl12_8
| ~ spl12_11
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f230,plain,
( $false
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f229,f187]) ).
fof(f229,plain,
( sk_c8 != multiply(sk_c9,sk_c3)
| ~ spl12_8
| ~ spl12_11
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f202,f188]) ).
fof(f202,plain,
( sk_c9 != inverse(sk_c2)
| sk_c8 != multiply(sk_c9,sk_c3)
| ~ spl12_8
| ~ spl12_13 ),
inference(superposition,[],[f178,f192]) ).
fof(f178,plain,
( ! [X5] :
( sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5) )
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl12_13
<=> ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f226,plain,
( ~ spl12_19
| ~ spl12_20
| ~ spl12_13 ),
inference(avatar_split_clause,[],[f198,f177,f223,f219]) ).
fof(f198,plain,
( sk_c9 != inverse(identity)
| sk_c8 != multiply(sk_c9,sk_c9)
| ~ spl12_13 ),
inference(superposition,[],[f178,f1]) ).
fof(f217,plain,
( ~ spl12_18
| ~ spl12_7
| ~ spl12_13 ),
inference(avatar_split_clause,[],[f212,f177,f121,f214]) ).
fof(f212,plain,
( sk_c9 != sF1
| sk_c8 != multiply(sk_c9,sF2)
| ~ spl12_13 ),
inference(forward_demodulation,[],[f201,f45]) ).
fof(f201,plain,
( sk_c9 != inverse(sk_c6)
| sk_c8 != multiply(sk_c9,sF2)
| ~ spl12_13 ),
inference(superposition,[],[f178,f47]) ).
fof(f186,plain,
( spl12_1
| spl12_11 ),
inference(avatar_split_clause,[],[f89,f146,f94]) ).
fof(f89,plain,
( sk_c9 = sF0
| sk_c5 = sF8 ),
inference(definition_folding,[],[f35,f44,f58]) ).
fof(f35,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f185,plain,
( ~ spl12_2
| spl12_13
| spl12_13
| spl12_14
| spl12_15 ),
inference(avatar_split_clause,[],[f85,f183,f180,f177,f177,f98]) ).
fof(f85,plain,
! [X3,X6,X9,X5] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X6,inverse(X6))
| sk_c9 != inverse(X3)
| sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c9 != inverse(X9)
| sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != inverse(X5)
| sk_c8 != sF7
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) ),
inference(definition_folding,[],[f43,f55]) ).
fof(f43,plain,
! [X3,X6,X9,X5] :
( sk_c9 != inverse(X9)
| sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != inverse(X5)
| sk_c9 != multiply(X3,sk_c8)
| inverse(sk_c9) != sk_c8
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != multiply(X6,inverse(X6))
| sk_c9 != inverse(X3) ),
inference(equality_resolution,[],[f42]) ).
fof(f42,plain,
! [X3,X6,X9,X4,X5] :
( sk_c9 != inverse(X9)
| sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != inverse(X5)
| sk_c9 != multiply(X3,sk_c8)
| inverse(sk_c9) != sk_c8
| sk_c8 != multiply(sk_c9,X4)
| sk_c9 != multiply(X6,inverse(X6))
| multiply(X5,sk_c9) != X4
| sk_c9 != inverse(X3) ),
inference(equality_resolution,[],[f41]) ).
fof(f41,plain,
! [X3,X8,X6,X9,X4,X5] :
( sk_c9 != inverse(X9)
| sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c8 != multiply(sk_c9,X8)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(X3,sk_c8)
| inverse(sk_c9) != sk_c8
| sk_c8 != multiply(sk_c9,X4)
| sk_c9 != multiply(X6,inverse(X6))
| multiply(X9,sk_c9) != X8
| multiply(X5,sk_c9) != X4
| sk_c9 != inverse(X3) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( inverse(X6) != X7
| sk_c9 != inverse(X9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c8 != multiply(sk_c9,X8)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(X3,sk_c8)
| inverse(sk_c9) != sk_c8
| sk_c8 != multiply(sk_c9,X4)
| sk_c9 != multiply(X6,X7)
| multiply(X9,sk_c9) != X8
| multiply(X5,sk_c9) != X4
| sk_c9 != inverse(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f175,plain,
( spl12_12
| spl12_2 ),
inference(avatar_split_clause,[],[f56,f98,f151]) ).
fof(f56,plain,
( sk_c8 = sF7
| sk_c9 = sF6 ),
inference(definition_folding,[],[f4,f55,f54]) ).
fof(f4,axiom,
( sk_c9 = multiply(sk_c4,sk_c5)
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f174,plain,
( spl12_6
| spl12_12 ),
inference(avatar_split_clause,[],[f87,f151,f116]) ).
fof(f87,plain,
( sk_c9 = sF6
| sk_c8 = sF10 ),
inference(definition_folding,[],[f22,f63,f54]) ).
fof(f22,axiom,
( sk_c9 = multiply(sk_c4,sk_c5)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f173,plain,
( spl12_12
| spl12_11 ),
inference(avatar_split_clause,[],[f57,f146,f151]) ).
fof(f57,plain,
( sk_c9 = sF0
| sk_c9 = sF6 ),
inference(definition_folding,[],[f34,f44,f54]) ).
fof(f34,axiom,
( sk_c9 = multiply(sk_c4,sk_c5)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f172,plain,
( spl12_12
| spl12_8 ),
inference(avatar_split_clause,[],[f90,f126,f151]) ).
fof(f90,plain,
( sk_c3 = sF3
| sk_c9 = sF6 ),
inference(definition_folding,[],[f28,f54,f48]) ).
fof(f28,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f171,plain,
( spl12_5
| spl12_11 ),
inference(avatar_split_clause,[],[f86,f146,f112]) ).
fof(f86,plain,
( sk_c9 = sF0
| sk_c8 = sF4 ),
inference(definition_folding,[],[f37,f44,f50]) ).
fof(f37,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f170,plain,
( spl12_2
| spl12_7 ),
inference(avatar_split_clause,[],[f75,f121,f98]) ).
fof(f75,plain,
( sk_c9 = sF1
| sk_c8 = sF7 ),
inference(definition_folding,[],[f9,f45,f55]) ).
fof(f9,axiom,
( inverse(sk_c9) = sk_c8
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f169,plain,
( spl12_8
| spl12_7 ),
inference(avatar_split_clause,[],[f53,f121,f126]) ).
fof(f53,plain,
( sk_c9 = sF1
| sk_c3 = sF3 ),
inference(definition_folding,[],[f33,f48,f45]) ).
fof(f33,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f168,plain,
( spl12_1
| spl12_4 ),
inference(avatar_split_clause,[],[f83,f107,f94]) ).
fof(f83,plain,
( sk_c9 = sF9
| sk_c5 = sF8 ),
inference(definition_folding,[],[f11,f58,f61]) ).
fof(f11,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f167,plain,
( spl12_12
| spl12_4 ),
inference(avatar_split_clause,[],[f62,f107,f151]) ).
fof(f62,plain,
( sk_c9 = sF9
| sk_c9 = sF6 ),
inference(definition_folding,[],[f10,f61,f54]) ).
fof(f10,axiom,
( sk_c9 = multiply(sk_c4,sk_c5)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f166,plain,
( spl12_3
| spl12_9 ),
inference(avatar_split_clause,[],[f76,f131,f103]) ).
fof(f76,plain,
( sk_c9 = sF5
| sk_c9 = sF11 ),
inference(definition_folding,[],[f18,f51,f68]) ).
fof(f18,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f165,plain,
( spl12_7
| spl12_4 ),
inference(avatar_split_clause,[],[f73,f107,f121]) ).
fof(f73,plain,
( sk_c9 = sF9
| sk_c9 = sF1 ),
inference(definition_folding,[],[f15,f45,f61]) ).
fof(f15,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f164,plain,
( spl12_8
| spl12_3 ),
inference(avatar_split_clause,[],[f80,f103,f126]) ).
fof(f80,plain,
( sk_c9 = sF11
| sk_c3 = sF3 ),
inference(definition_folding,[],[f30,f48,f68]) ).
fof(f30,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f163,plain,
( spl12_7
| spl12_9 ),
inference(avatar_split_clause,[],[f72,f131,f121]) ).
fof(f72,plain,
( sk_c9 = sF5
| sk_c9 = sF1 ),
inference(definition_folding,[],[f21,f51,f45]) ).
fof(f21,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f162,plain,
( spl12_5
| spl12_8 ),
inference(avatar_split_clause,[],[f88,f126,f112]) ).
fof(f88,plain,
( sk_c3 = sF3
| sk_c8 = sF4 ),
inference(definition_folding,[],[f31,f48,f50]) ).
fof(f31,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f161,plain,
( spl12_11
| spl12_3 ),
inference(avatar_split_clause,[],[f77,f103,f146]) ).
fof(f77,plain,
( sk_c9 = sF11
| sk_c9 = sF0 ),
inference(definition_folding,[],[f36,f44,f68]) ).
fof(f36,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f160,plain,
( spl12_9
| spl12_10 ),
inference(avatar_split_clause,[],[f78,f139,f131]) ).
fof(f78,plain,
( sk_c7 = sF2
| sk_c9 = sF5 ),
inference(definition_folding,[],[f20,f47,f51]) ).
fof(f20,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f159,plain,
( spl12_5
| spl12_2 ),
inference(avatar_split_clause,[],[f66,f98,f112]) ).
fof(f66,plain,
( sk_c8 = sF7
| sk_c8 = sF4 ),
inference(definition_folding,[],[f7,f55,f50]) ).
fof(f7,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f158,plain,
( spl12_2
| spl12_3 ),
inference(avatar_split_clause,[],[f91,f103,f98]) ).
fof(f91,plain,
( sk_c9 = sF11
| sk_c8 = sF7 ),
inference(definition_folding,[],[f6,f68,f55]) ).
fof(f6,axiom,
( inverse(sk_c9) = sk_c8
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f157,plain,
( spl12_3
| spl12_6 ),
inference(avatar_split_clause,[],[f69,f116,f103]) ).
fof(f69,plain,
( sk_c8 = sF10
| sk_c9 = sF11 ),
inference(definition_folding,[],[f24,f68,f63]) ).
fof(f24,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f156,plain,
( spl12_11
| spl12_7 ),
inference(avatar_split_clause,[],[f46,f121,f146]) ).
fof(f46,plain,
( sk_c9 = sF1
| sk_c9 = sF0 ),
inference(definition_folding,[],[f39,f45,f44]) ).
fof(f39,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f155,plain,
( spl12_6
| spl12_10 ),
inference(avatar_split_clause,[],[f84,f139,f116]) ).
fof(f84,plain,
( sk_c7 = sF2
| sk_c8 = sF10 ),
inference(definition_folding,[],[f26,f63,f47]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f154,plain,
( spl12_12
| spl12_9 ),
inference(avatar_split_clause,[],[f82,f131,f151]) ).
fof(f82,plain,
( sk_c9 = sF5
| sk_c9 = sF6 ),
inference(definition_folding,[],[f16,f54,f51]) ).
fof(f16,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f149,plain,
( spl12_10
| spl12_11 ),
inference(avatar_split_clause,[],[f65,f146,f139]) ).
fof(f65,plain,
( sk_c9 = sF0
| sk_c7 = sF2 ),
inference(definition_folding,[],[f38,f47,f44]) ).
fof(f38,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f144,plain,
( spl12_2
| spl12_10 ),
inference(avatar_split_clause,[],[f60,f139,f98]) ).
fof(f60,plain,
( sk_c7 = sF2
| sk_c8 = sF7 ),
inference(definition_folding,[],[f8,f47,f55]) ).
fof(f8,axiom,
( inverse(sk_c9) = sk_c8
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f143,plain,
( spl12_10
| spl12_4 ),
inference(avatar_split_clause,[],[f92,f107,f139]) ).
fof(f92,plain,
( sk_c9 = sF9
| sk_c7 = sF2 ),
inference(definition_folding,[],[f14,f61,f47]) ).
fof(f14,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f142,plain,
( spl12_8
| spl12_10 ),
inference(avatar_split_clause,[],[f49,f139,f126]) ).
fof(f49,plain,
( sk_c7 = sF2
| sk_c3 = sF3 ),
inference(definition_folding,[],[f32,f48,f47]) ).
fof(f32,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f137,plain,
( spl12_1
| spl12_6 ),
inference(avatar_split_clause,[],[f64,f116,f94]) ).
fof(f64,plain,
( sk_c8 = sF10
| sk_c5 = sF8 ),
inference(definition_folding,[],[f23,f63,f58]) ).
fof(f23,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f136,plain,
( spl12_5
| spl12_4 ),
inference(avatar_split_clause,[],[f81,f107,f112]) ).
fof(f81,plain,
( sk_c9 = sF9
| sk_c8 = sF4 ),
inference(definition_folding,[],[f13,f50,f61]) ).
fof(f13,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f135,plain,
( spl12_5
| spl12_9 ),
inference(avatar_split_clause,[],[f52,f131,f112]) ).
fof(f52,plain,
( sk_c9 = sF5
| sk_c8 = sF4 ),
inference(definition_folding,[],[f19,f51,f50]) ).
fof(f19,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f134,plain,
( spl12_9
| spl12_1 ),
inference(avatar_split_clause,[],[f74,f94,f131]) ).
fof(f74,plain,
( sk_c5 = sF8
| sk_c9 = sF5 ),
inference(definition_folding,[],[f17,f58,f51]) ).
fof(f17,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f129,plain,
( spl12_8
| spl12_1 ),
inference(avatar_split_clause,[],[f59,f94,f126]) ).
fof(f59,plain,
( sk_c5 = sF8
| sk_c3 = sF3 ),
inference(definition_folding,[],[f29,f58,f48]) ).
fof(f29,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f124,plain,
( spl12_7
| spl12_6 ),
inference(avatar_split_clause,[],[f70,f116,f121]) ).
fof(f70,plain,
( sk_c8 = sF10
| sk_c9 = sF1 ),
inference(definition_folding,[],[f27,f63,f45]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f119,plain,
( spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f71,f116,f112]) ).
fof(f71,plain,
( sk_c8 = sF10
| sk_c8 = sF4 ),
inference(definition_folding,[],[f25,f50,f63]) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f110,plain,
( spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f79,f107,f103]) ).
fof(f79,plain,
( sk_c9 = sF9
| sk_c9 = sF11 ),
inference(definition_folding,[],[f12,f61,f68]) ).
fof(f12,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f101,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f67,f98,f94]) ).
fof(f67,plain,
( sk_c8 = sF7
| sk_c5 = sF8 ),
inference(definition_folding,[],[f5,f55,f58]) ).
fof(f5,axiom,
( sk_c5 = inverse(sk_c4)
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP237-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:14:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (23380)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.51 % (23382)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.51 % (23383)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)
% 1.24/0.51 % (23379)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.24/0.52 % (23400)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)
% 1.24/0.52 % (23385)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)
% 1.24/0.52 % (23382)Refutation not found, incomplete strategy% (23382)------------------------------
% 1.24/0.52 % (23382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.52 % (23402)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)
% 1.24/0.52 % (23391)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)
% 1.24/0.52 % (23405)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)
% 1.24/0.52 % (23388)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)
% 1.24/0.52 % (23400)Refutation not found, incomplete strategy% (23400)------------------------------
% 1.24/0.52 % (23400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.52 % (23400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.52 % (23400)Termination reason: Refutation not found, incomplete strategy
% 1.24/0.52
% 1.24/0.52 % (23400)Memory used [KB]: 5884
% 1.24/0.52 % (23400)Time elapsed: 0.125 s
% 1.24/0.52 % (23400)Instructions burned: 5 (million)
% 1.24/0.52 % (23400)------------------------------
% 1.24/0.52 % (23400)------------------------------
% 1.24/0.52 % (23394)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)
% 1.24/0.52 % (23401)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)
% 1.24/0.52 % (23381)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)
% 1.24/0.53 % (23394)Instruction limit reached!
% 1.24/0.53 % (23394)------------------------------
% 1.24/0.53 % (23394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53 % (23394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53 % (23394)Termination reason: Unknown
% 1.24/0.53 % (23394)Termination phase: Finite model building preprocessing
% 1.24/0.53
% 1.24/0.53 % (23394)Memory used [KB]: 1407
% 1.24/0.53 % (23394)Time elapsed: 0.005 s
% 1.24/0.53 % (23394)Instructions burned: 6 (million)
% 1.24/0.53 % (23394)------------------------------
% 1.24/0.53 % (23394)------------------------------
% 1.24/0.53 % (23381)Instruction limit reached!
% 1.24/0.53 % (23381)------------------------------
% 1.24/0.53 % (23381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53 % (23381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53 % (23381)Termination reason: Unknown
% 1.24/0.53 % (23381)Termination phase: Saturation
% 1.24/0.53
% 1.24/0.53 % (23381)Memory used [KB]: 5884
% 1.24/0.53 % (23381)Time elapsed: 0.003 s
% 1.24/0.53 % (23381)Instructions burned: 4 (million)
% 1.24/0.53 % (23381)------------------------------
% 1.24/0.53 % (23381)------------------------------
% 1.24/0.53 % (23406)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)
% 1.24/0.53 % (23382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53 % (23382)Termination reason: Refutation not found, incomplete strategy
% 1.24/0.53
% 1.24/0.53 % (23382)Memory used [KB]: 5884
% 1.24/0.53 % (23382)Time elapsed: 0.116 s
% 1.24/0.53 % (23382)Instructions burned: 4 (million)
% 1.24/0.53 % (23382)------------------------------
% 1.24/0.53 % (23382)------------------------------
% 1.24/0.53 % (23407)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)
% 1.40/0.53 % (23386)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)
% 1.40/0.53 % (23396)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.40/0.53 % (23390)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)
% 1.40/0.53 % (23386)Refutation not found, incomplete strategy% (23386)------------------------------
% 1.40/0.53 % (23386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (23408)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.53 % (23386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (23386)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.53
% 1.40/0.53 % (23386)Memory used [KB]: 5884
% 1.40/0.53 % (23386)Time elapsed: 0.096 s
% 1.40/0.53 % (23386)Instructions burned: 4 (million)
% 1.40/0.53 % (23386)------------------------------
% 1.40/0.53 % (23386)------------------------------
% 1.40/0.53 % (23384)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.40/0.53 % (23387)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)
% 1.40/0.53 % (23391)Instruction limit reached!
% 1.40/0.53 % (23391)------------------------------
% 1.40/0.53 % (23391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (23391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (23391)Termination reason: Unknown
% 1.40/0.53 % (23391)Termination phase: Saturation
% 1.40/0.53
% 1.40/0.53 % (23391)Memory used [KB]: 5884
% 1.40/0.53 % (23391)Time elapsed: 0.131 s
% 1.40/0.53 % (23391)Instructions burned: 5 (million)
% 1.40/0.53 % (23391)------------------------------
% 1.40/0.53 % (23391)------------------------------
% 1.40/0.53 % (23403)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 % (23397)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)
% 1.40/0.54 % (23380)Instruction limit reached!
% 1.40/0.54 % (23380)------------------------------
% 1.40/0.54 % (23380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54 % (23402)Refutation not found, incomplete strategy% (23402)------------------------------
% 1.40/0.54 % (23402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54 % (23402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (23402)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.54
% 1.40/0.54 % (23402)Memory used [KB]: 5884
% 1.40/0.54 % (23402)Time elapsed: 0.093 s
% 1.40/0.54 % (23402)Instructions burned: 3 (million)
% 1.40/0.54 % (23402)------------------------------
% 1.40/0.54 % (23402)------------------------------
% 1.40/0.54 % (23404)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)
% 1.40/0.54 % (23395)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)
% 1.40/0.54 % (23398)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)
% 1.40/0.54 % (23395)Instruction limit reached!
% 1.40/0.54 % (23395)------------------------------
% 1.40/0.54 % (23395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54 % (23395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (23395)Termination reason: Unknown
% 1.40/0.54 % (23395)Termination phase: Saturation
% 1.40/0.54
% 1.40/0.54 % (23395)Memory used [KB]: 5884
% 1.40/0.54 % (23395)Time elapsed: 0.004 s
% 1.40/0.54 % (23395)Instructions burned: 3 (million)
% 1.40/0.54 % (23395)------------------------------
% 1.40/0.54 % (23395)------------------------------
% 1.40/0.54 % (23393)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.40/0.55 % (23392)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)
% 1.40/0.55 % (23389)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)
% 1.40/0.55 % (23387)Instruction limit reached!
% 1.40/0.55 % (23387)------------------------------
% 1.40/0.55 % (23387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55 % (23387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55 % (23387)Termination reason: Unknown
% 1.40/0.55 % (23387)Termination phase: Saturation
% 1.40/0.55
% 1.40/0.55 % (23387)Memory used [KB]: 5884
% 1.40/0.55 % (23387)Time elapsed: 0.003 s
% 1.40/0.55 % (23387)Instructions burned: 3 (million)
% 1.40/0.55 % (23387)------------------------------
% 1.40/0.55 % (23387)------------------------------
% 1.40/0.55 % (23392)Instruction limit reached!
% 1.40/0.55 % (23392)------------------------------
% 1.40/0.55 % (23392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55 % (23392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55 % (23392)Termination reason: Unknown
% 1.40/0.55 % (23392)Termination phase: Saturation
% 1.40/0.55
% 1.40/0.55 % (23392)Memory used [KB]: 5884
% 1.40/0.55 % (23392)Time elapsed: 0.003 s
% 1.40/0.55 % (23392)Instructions burned: 4 (million)
% 1.40/0.55 % (23392)------------------------------
% 1.40/0.55 % (23392)------------------------------
% 1.40/0.55 % (23407)Refutation not found, incomplete strategy% (23407)------------------------------
% 1.40/0.55 % (23407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55 % (23407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55 % (23407)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.55
% 1.40/0.55 % (23407)Memory used [KB]: 5884
% 1.40/0.55 % (23407)Time elapsed: 0.137 s
% 1.40/0.55 % (23407)Instructions burned: 5 (million)
% 1.40/0.55 % (23407)------------------------------
% 1.40/0.55 % (23407)------------------------------
% 1.40/0.55 % (23389)Instruction limit reached!
% 1.40/0.55 % (23389)------------------------------
% 1.40/0.55 % (23389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55 % (23389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55 % (23389)Termination reason: Unknown
% 1.40/0.55 % (23389)Termination phase: Saturation
% 1.40/0.55
% 1.40/0.55 % (23389)Memory used [KB]: 5884
% 1.40/0.55 % (23389)Time elapsed: 0.159 s
% 1.40/0.55 % (23389)Instructions burned: 6 (million)
% 1.40/0.55 % (23389)------------------------------
% 1.40/0.55 % (23389)------------------------------
% 1.40/0.55 % (23401)Refutation not found, incomplete strategy% (23401)------------------------------
% 1.40/0.55 % (23401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55 % (23401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55 % (23401)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.55
% 1.40/0.55 % (23401)Memory used [KB]: 6012
% 1.40/0.55 % (23401)Time elapsed: 0.159 s
% 1.40/0.55 % (23401)Instructions burned: 14 (million)
% 1.40/0.55 % (23401)------------------------------
% 1.40/0.55 % (23401)------------------------------
% 1.40/0.55 % (23396)Instruction limit reached!
% 1.40/0.55 % (23396)------------------------------
% 1.40/0.55 % (23396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55 % (23396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55 % (23396)Termination reason: Unknown
% 1.40/0.55 % (23396)Termination phase: Saturation
% 1.40/0.55
% 1.40/0.55 % (23396)Memory used [KB]: 6012
% 1.40/0.55 % (23396)Time elapsed: 0.140 s
% 1.40/0.55 % (23396)Instructions burned: 9 (million)
% 1.40/0.55 % (23396)------------------------------
% 1.40/0.55 % (23396)------------------------------
% 1.40/0.55 % (23380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55 % (23380)Termination reason: Unknown
% 1.40/0.55 % (23380)Termination phase: Saturation
% 1.40/0.55
% 1.40/0.55 % (23380)Memory used [KB]: 1663
% 1.40/0.55 % (23380)Time elapsed: 0.132 s
% 1.40/0.55 % (23380)Instructions burned: 43 (million)
% 1.40/0.55 % (23380)------------------------------
% 1.40/0.55 % (23380)------------------------------
% 1.40/0.55 % (23383)Instruction limit reached!
% 1.40/0.55 % (23383)------------------------------
% 1.40/0.55 % (23383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55 % (23383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55 % (23383)Termination reason: Unknown
% 1.40/0.55 % (23383)Termination phase: Saturation
% 1.40/0.55
% 1.40/0.55 % (23383)Memory used [KB]: 6524
% 1.40/0.55 % (23383)Time elapsed: 0.139 s
% 1.40/0.55 % (23383)Instructions burned: 34 (million)
% 1.40/0.55 % (23383)------------------------------
% 1.40/0.55 % (23383)------------------------------
% 1.40/0.55 % (23384)Instruction limit reached!
% 1.40/0.55 % (23384)------------------------------
% 1.40/0.55 % (23384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55 % (23384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55 % (23384)Termination reason: Unknown
% 1.40/0.55 % (23384)Termination phase: Saturation
% 1.40/0.55
% 1.40/0.55 % (23384)Memory used [KB]: 6140
% 1.40/0.55 % (23384)Time elapsed: 0.147 s
% 1.40/0.55 % (23384)Instructions burned: 26 (million)
% 1.40/0.55 % (23384)------------------------------
% 1.40/0.55 % (23384)------------------------------
% 1.40/0.56 % (23398)Refutation not found, incomplete strategy% (23398)------------------------------
% 1.40/0.56 % (23398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.56 % (23398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.56 % (23398)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.56
% 1.40/0.56 % (23398)Memory used [KB]: 6012
% 1.40/0.56 % (23398)Time elapsed: 0.151 s
% 1.40/0.56 % (23398)Instructions burned: 5 (million)
% 1.40/0.56 % (23398)------------------------------
% 1.40/0.56 % (23398)------------------------------
% 1.40/0.56 % (23399)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)
% 1.40/0.56 % (23390)Instruction limit reached!
% 1.40/0.56 % (23390)------------------------------
% 1.40/0.56 % (23390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.56 % (23390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.56 % (23390)Termination reason: Unknown
% 1.40/0.56 % (23390)Termination phase: Saturation
% 1.40/0.56 % (23397)Refutation not found, incomplete strategy% (23397)------------------------------
% 1.40/0.56 % (23397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.56
% 1.40/0.56 % (23397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.56 % (23390)Memory used [KB]: 6268
% 1.40/0.56 % (23397)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.56
% 1.40/0.56 % (23390)Time elapsed: 0.152 s
% 1.40/0.56 % (23390)Instructions burned: 25 (million)
% 1.40/0.56 % (23390)------------------------------
% 1.40/0.56 % (23390)------------------------------
% 1.40/0.56 % (23397)Memory used [KB]: 10618
% 1.40/0.56 % (23397)Time elapsed: 0.161 s
% 1.40/0.56 % (23397)Instructions burned: 12 (million)
% 1.40/0.56 % (23397)------------------------------
% 1.40/0.56 % (23397)------------------------------
% 1.40/0.56 % (23399)Instruction limit reached!
% 1.40/0.56 % (23399)------------------------------
% 1.40/0.56 % (23399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.56 % (23399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.56 % (23399)Termination reason: Unknown
% 1.40/0.56 % (23399)Termination phase: Saturation
% 1.40/0.56
% 1.40/0.56 % (23399)Memory used [KB]: 1407
% 1.40/0.56 % (23399)Time elapsed: 0.168 s
% 1.40/0.56 % (23399)Instructions burned: 6 (million)
% 1.40/0.56 % (23399)------------------------------
% 1.40/0.56 % (23399)------------------------------
% 1.40/0.56 % (23404)Refutation not found, incomplete strategy% (23404)------------------------------
% 1.40/0.56 % (23404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.56 % (23404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.56 % (23404)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.56
% 1.40/0.56 % (23404)Memory used [KB]: 6140
% 1.40/0.56 % (23404)Time elapsed: 0.152 s
% 1.40/0.56 % (23404)Instructions burned: 14 (million)
% 1.40/0.56 % (23404)------------------------------
% 1.40/0.56 % (23404)------------------------------
% 1.40/0.57 % (23393)Instruction limit reached!
% 1.40/0.57 % (23393)------------------------------
% 1.40/0.57 % (23393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.57 % (23393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.57 % (23393)Termination reason: Unknown
% 1.40/0.57 % (23393)Termination phase: Saturation
% 1.40/0.57
% 1.40/0.57 % (23393)Memory used [KB]: 1663
% 1.40/0.57 % (23393)Time elapsed: 0.163 s
% 1.40/0.57 % (23393)Instructions burned: 29 (million)
% 1.40/0.57 % (23393)------------------------------
% 1.40/0.57 % (23393)------------------------------
% 1.40/0.58 % (23388)Instruction limit reached!
% 1.40/0.58 % (23388)------------------------------
% 1.40/0.58 % (23388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.58 % (23388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.58 % (23388)Termination reason: Unknown
% 1.40/0.58 % (23388)Termination phase: Saturation
% 1.40/0.58
% 1.40/0.58 % (23388)Memory used [KB]: 6524
% 1.40/0.58 % (23388)Time elapsed: 0.189 s
% 1.40/0.58 % (23388)Instructions burned: 52 (million)
% 1.40/0.58 % (23388)------------------------------
% 1.40/0.58 % (23388)------------------------------
% 1.40/0.58 % (23379)First to succeed.
% 1.40/0.59 % (23385)Instruction limit reached!
% 1.40/0.59 % (23385)------------------------------
% 1.40/0.59 % (23385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.59 % (23385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.59 % (23385)Termination reason: Unknown
% 1.40/0.59 % (23385)Termination phase: Saturation
% 1.40/0.59
% 1.40/0.59 % (23385)Memory used [KB]: 1663
% 1.40/0.59 % (23385)Time elapsed: 0.190 s
% 1.40/0.59 % (23385)Instructions burned: 49 (million)
% 1.40/0.59 % (23385)------------------------------
% 1.40/0.59 % (23385)------------------------------
% 1.40/0.59 % (23379)Refutation found. Thanks to Tanya!
% 1.40/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.40/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.60 % (23379)------------------------------
% 1.40/0.60 % (23379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.60 % (23379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.60 % (23379)Termination reason: Refutation
% 1.40/0.60
% 1.40/0.60 % (23379)Memory used [KB]: 6396
% 1.40/0.60 % (23379)Time elapsed: 0.151 s
% 1.40/0.60 % (23379)Instructions burned: 35 (million)
% 1.40/0.60 % (23379)------------------------------
% 1.40/0.60 % (23379)------------------------------
% 1.40/0.60 % (23375)Success in time 0.234 s
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