TSTP Solution File: GRP316-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP316-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:19 EDT 2022
% Result : Unsatisfiable 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 64
% Syntax : Number of formulae : 346 ( 31 unt; 0 def)
% Number of atoms : 1485 ( 418 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 2238 (1099 ~;1120 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1170,plain,
$false,
inference(avatar_sat_refutation,[],[f86,f91,f100,f105,f106,f115,f116,f117,f118,f123,f124,f129,f130,f135,f136,f137,f138,f139,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f281,f361,f399,f428,f471,f577,f617,f619,f970,f990,f998,f1038,f1053,f1068,f1082,f1109,f1148,f1169]) ).
fof(f1169,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1168]) ).
fof(f1168,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1167,f1016]) ).
fof(f1016,plain,
( identity = inverse(identity)
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f352,f392]) ).
fof(f392,plain,
( identity = sk_c3
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f391,plain,
( spl11_20
<=> identity = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).
fof(f352,plain,
( identity = inverse(sk_c3)
| ~ spl11_18 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f351,plain,
( spl11_18
<=> identity = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
fof(f1167,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1159,f1016]) ).
fof(f1159,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17 ),
inference(trivial_inequality_removal,[],[f1154]) ).
fof(f1154,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17 ),
inference(superposition,[],[f1151,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1151,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1150,f923]) ).
fof(f923,plain,
( identity = sk_c6
| ~ spl11_11
| ~ spl11_17 ),
inference(backward_demodulation,[],[f707,f347]) ).
fof(f347,plain,
( identity = inverse(sk_c5)
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f346,plain,
( spl11_17
<=> identity = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).
fof(f707,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl11_11 ),
inference(forward_demodulation,[],[f46,f134]) ).
fof(f134,plain,
( sk_c6 = sF6
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl11_11
<=> sk_c6 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f46,plain,
inverse(sk_c5) = sF6,
introduced(function_definition,[]) ).
fof(f1150,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c6 != multiply(X4,identity) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1149,f942]) ).
fof(f942,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f933,f2]) ).
fof(f933,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f515,f928]) ).
fof(f928,plain,
( sk_c7 = sk_c6
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f919,f520]) ).
fof(f520,plain,
( sk_c7 = multiply(sk_c6,sk_c7)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f491,f507]) ).
fof(f507,plain,
( sk_c7 = sk_c8
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9 ),
inference(forward_demodulation,[],[f506,f504]) ).
fof(f504,plain,
( sk_c7 = multiply(sk_c8,sk_c4)
| ~ spl11_5 ),
inference(forward_demodulation,[],[f39,f99]) ).
fof(f99,plain,
( sk_c7 = sF2
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl11_5
<=> sk_c7 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f39,plain,
multiply(sk_c8,sk_c4) = sF2,
introduced(function_definition,[]) ).
fof(f506,plain,
( sk_c8 = multiply(sk_c8,sk_c4)
| ~ spl11_7
| ~ spl11_9 ),
inference(forward_demodulation,[],[f505,f122]) ).
fof(f122,plain,
( sk_c8 = sF4
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl11_9
<=> sk_c8 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f505,plain,
( sk_c8 = multiply(sF4,sk_c4)
| ~ spl11_7 ),
inference(forward_demodulation,[],[f297,f110]) ).
fof(f110,plain,
( sk_c4 = sF7
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl11_7
<=> sk_c4 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f297,plain,
sk_c8 = multiply(sF4,sF7),
inference(forward_demodulation,[],[f214,f42]) ).
fof(f42,plain,
inverse(sk_c3) = sF4,
introduced(function_definition,[]) ).
fof(f214,plain,
sk_c8 = multiply(inverse(sk_c3),sF7),
inference(superposition,[],[f194,f48]) ).
fof(f48,plain,
multiply(sk_c3,sk_c8) = sF7,
introduced(function_definition,[]) ).
fof(f194,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f176,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f176,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/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f491,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl11_3 ),
inference(forward_demodulation,[],[f52,f90]) ).
fof(f90,plain,
( sk_c7 = sF9
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl11_3
<=> sk_c7 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f52,plain,
multiply(sk_c6,sk_c8) = sF9,
introduced(function_definition,[]) ).
fof(f919,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f521,f134]) ).
fof(f521,plain,
( sk_c6 = multiply(sF6,sk_c7)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f493,f507]) ).
fof(f493,plain,
( sk_c6 = multiply(sF6,sk_c8)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f302,f81]) ).
fof(f81,plain,
( sk_c8 = sF0
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl11_1
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f302,plain,
sk_c6 = multiply(sF6,sF0),
inference(forward_demodulation,[],[f215,f46]) ).
fof(f215,plain,
sk_c6 = multiply(inverse(sk_c5),sF0),
inference(superposition,[],[f194,f36]) ).
fof(f36,plain,
multiply(sk_c5,sk_c6) = sF0,
introduced(function_definition,[]) ).
fof(f515,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c7)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f486,f507]) ).
fof(f486,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c7)
| ~ spl11_3 ),
inference(forward_demodulation,[],[f213,f90]) ).
fof(f213,plain,
sk_c8 = multiply(inverse(sk_c6),sF9),
inference(superposition,[],[f194,f52]) ).
fof(f1149,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f145,f942]) ).
fof(f145,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl11_13
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f1148,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1147]) ).
fof(f1147,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_17
| ~ spl11_18
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1138,f1016]) ).
fof(f1138,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_17 ),
inference(trivial_inequality_removal,[],[f1131]) ).
fof(f1131,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_17 ),
inference(superposition,[],[f1113,f1]) ).
fof(f1113,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1112,f923]) ).
fof(f1112,plain,
( ! [X7] :
( sk_c6 != inverse(X7)
| identity != multiply(X7,identity) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_17 ),
inference(forward_demodulation,[],[f1111,f947]) ).
fof(f947,plain,
( identity = sk_c8
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f507,f942]) ).
fof(f1111,plain,
( ! [X7] :
( sk_c8 != multiply(X7,identity)
| sk_c6 != inverse(X7) )
| ~ spl11_11
| ~ spl11_12
| ~ spl11_17 ),
inference(forward_demodulation,[],[f142,f923]) ).
fof(f142,plain,
( ! [X7] :
( sk_c8 != multiply(X7,sk_c6)
| sk_c6 != inverse(X7) )
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl11_12
<=> ! [X7] :
( sk_c6 != inverse(X7)
| sk_c8 != multiply(X7,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f1109,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_18
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1108]) ).
fof(f1108,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_18
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1107,f1016]) ).
fof(f1107,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f1096,f1]) ).
fof(f1096,plain,
( identity != multiply(identity,identity)
| identity != inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15 ),
inference(superposition,[],[f1088,f1]) ).
fof(f1088,plain,
( ! [X6] :
( identity != multiply(identity,multiply(X6,identity))
| identity != inverse(X6) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1087,f947]) ).
fof(f1087,plain,
( ! [X6] :
( identity != multiply(identity,multiply(X6,identity))
| sk_c8 != inverse(X6) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f1086,f942]) ).
fof(f1086,plain,
( ! [X6] :
( sk_c7 != multiply(identity,multiply(X6,identity))
| sk_c8 != inverse(X6) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f151,f947]) ).
fof(f151,plain,
( ! [X6] :
( sk_c7 != multiply(sk_c8,multiply(X6,sk_c8))
| sk_c8 != inverse(X6) )
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl11_15
<=> ! [X6] :
( sk_c7 != multiply(sk_c8,multiply(X6,sk_c8))
| sk_c8 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f1082,plain,
( ~ spl11_1
| ~ spl11_3
| spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_17 ),
inference(avatar_contradiction_clause,[],[f1081]) ).
fof(f1081,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_17 ),
inference(subsumption_resolution,[],[f1072,f1076]) ).
fof(f1076,plain,
( identity != sF1
| spl11_4
| ~ spl11_11
| ~ spl11_17 ),
inference(forward_demodulation,[],[f94,f923]) ).
fof(f94,plain,
( sk_c6 != sF1
| spl11_4 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl11_4
<=> sk_c6 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f1072,plain,
( identity = sF1
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1071,f1]) ).
fof(f1071,plain,
( multiply(identity,identity) = sF1
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1070,f942]) ).
fof(f1070,plain,
( sF1 = multiply(sk_c7,identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f37,f947]) ).
fof(f37,plain,
multiply(sk_c7,sk_c8) = sF1,
introduced(function_definition,[]) ).
fof(f1068,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_18
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1067]) ).
fof(f1067,plain,
( $false
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12
| ~ spl11_18
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1061,f1016]) ).
fof(f1061,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f1057]) ).
fof(f1057,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(superposition,[],[f1056,f1]) ).
fof(f1056,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f1055,f947]) ).
fof(f1055,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c8 != multiply(X7,identity) )
| ~ spl11_2
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_12 ),
inference(forward_demodulation,[],[f1054,f1004]) ).
fof(f1004,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(forward_demodulation,[],[f85,f921]) ).
fof(f921,plain,
( identity = sF3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f920,f752]) ).
fof(f752,plain,
( identity = multiply(sk_c3,sk_c7)
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9 ),
inference(forward_demodulation,[],[f530,f543]) ).
fof(f543,plain,
( identity = sk_c4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9 ),
inference(forward_demodulation,[],[f518,f2]) ).
fof(f518,plain,
( sk_c4 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f489,f507]) ).
fof(f489,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c7)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f211,f99]) ).
fof(f211,plain,
sk_c4 = multiply(inverse(sk_c8),sF2),
inference(superposition,[],[f194,f39]) ).
fof(f530,plain,
( sk_c4 = multiply(sk_c3,sk_c7)
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f502,f507]) ).
fof(f502,plain,
( sk_c4 = multiply(sk_c3,sk_c8)
| ~ spl11_7 ),
inference(backward_demodulation,[],[f48,f110]) ).
fof(f920,plain,
( sF3 = multiply(sk_c3,sk_c7)
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(forward_demodulation,[],[f40,f533]) ).
fof(f533,plain,
( sk_c3 = sk_c2
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f208,f524]) ).
fof(f524,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f496,f507]) ).
fof(f496,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f218,f122]) ).
fof(f218,plain,
sk_c3 = multiply(inverse(sF4),identity),
inference(superposition,[],[f194,f170]) ).
fof(f170,plain,
identity = multiply(sF4,sk_c3),
inference(superposition,[],[f2,f42]) ).
fof(f208,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl11_6 ),
inference(superposition,[],[f194,f173]) ).
fof(f173,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl11_6 ),
inference(superposition,[],[f2,f165]) ).
fof(f165,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl11_6 ),
inference(backward_demodulation,[],[f51,f104]) ).
fof(f104,plain,
( sk_c7 = sF8
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl11_6
<=> sk_c7 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f51,plain,
inverse(sk_c2) = sF8,
introduced(function_definition,[]) ).
fof(f40,plain,
multiply(sk_c2,sk_c7) = sF3,
introduced(function_definition,[]) ).
fof(f85,plain,
( sk_c6 = sF3
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl11_2
<=> sk_c6 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f1054,plain,
( ! [X7] :
( sk_c8 != multiply(X7,sk_c6)
| identity != inverse(X7) )
| ~ spl11_2
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_12 ),
inference(forward_demodulation,[],[f142,f1004]) ).
fof(f1053,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_18
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1052]) ).
fof(f1052,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_18
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1051,f1016]) ).
fof(f1051,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_18
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1046,f1016]) ).
fof(f1046,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14 ),
inference(trivial_inequality_removal,[],[f1044]) ).
fof(f1044,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14 ),
inference(superposition,[],[f1041,f2]) ).
fof(f1041,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1040,f942]) ).
fof(f1040,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,identity) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1039,f947]) ).
fof(f1039,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f148,f947]) ).
fof(f148,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl11_14
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f1038,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_18
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1037]) ).
fof(f1037,plain,
( $false
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_18
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1032,f1016]) ).
fof(f1032,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(trivial_inequality_removal,[],[f1027]) ).
fof(f1027,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(superposition,[],[f1014,f1]) ).
fof(f1014,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1013,f1004]) ).
fof(f1013,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1012,f942]) ).
fof(f1012,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,identity) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f145,f942]) ).
fof(f998,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| spl11_20 ),
inference(avatar_contradiction_clause,[],[f997]) ).
fof(f997,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| spl11_20 ),
inference(subsumption_resolution,[],[f996,f393]) ).
fof(f393,plain,
( identity != sk_c3
| spl11_20 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f996,plain,
( identity = sk_c3
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f995,f2]) ).
fof(f995,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f524,f942]) ).
fof(f990,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| spl11_27 ),
inference(avatar_contradiction_clause,[],[f989]) ).
fof(f989,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11
| spl11_27 ),
inference(subsumption_resolution,[],[f988,f484]) ).
fof(f484,plain,
( identity != sF6
| spl11_27 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f482,plain,
( spl11_27
<=> identity = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_27])]) ).
fof(f988,plain,
( identity = sF6
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f930,f942]) ).
fof(f930,plain,
( sk_c7 = sF6
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f134,f928]) ).
fof(f970,plain,
( spl11_18
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f953,f132,f120,f108,f97,f88,f79,f351]) ).
fof(f953,plain,
( identity = inverse(sk_c3)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f527,f942]) ).
fof(f527,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f499,f507]) ).
fof(f499,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f42,f122]) ).
fof(f619,plain,
( spl11_17
| ~ spl11_27 ),
inference(avatar_split_clause,[],[f584,f482,f346]) ).
fof(f584,plain,
( identity = inverse(sk_c5)
| ~ spl11_27 ),
inference(backward_demodulation,[],[f46,f483]) ).
fof(f483,plain,
( identity = sF6
| ~ spl11_27 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f617,plain,
( spl11_20
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_27 ),
inference(avatar_split_clause,[],[f607,f482,f120,f108,f102,f97,f93,f83,f79,f391]) ).
fof(f607,plain,
( identity = sk_c3
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_27 ),
inference(backward_demodulation,[],[f564,f595]) ).
fof(f595,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_27 ),
inference(backward_demodulation,[],[f547,f591]) ).
fof(f591,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_27 ),
inference(forward_demodulation,[],[f589,f203]) ).
fof(f203,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f194,f1]) ).
fof(f589,plain,
( ! [X0] : multiply(inverse(identity),X0) = multiply(sk_c7,X0)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_27 ),
inference(backward_demodulation,[],[f561,f483]) ).
fof(f561,plain,
( ! [X0] : multiply(inverse(sF6),X0) = multiply(sk_c7,X0)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f413,f560]) ).
fof(f560,plain,
( ! [X14] : multiply(sk_c5,X14) = multiply(sk_c7,X14)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(forward_demodulation,[],[f550,f1]) ).
fof(f550,plain,
( ! [X14] : multiply(sk_c5,multiply(identity,X14)) = multiply(sk_c7,X14)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f516,f544]) ).
fof(f544,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f539,f543]) ).
fof(f539,plain,
( sk_c6 = sk_c4
| ~ spl11_2
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f530,f534]) ).
fof(f534,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f167,f533]) ).
fof(f167,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f40,f85]) ).
fof(f516,plain,
( ! [X14] : multiply(sk_c7,X14) = multiply(sk_c5,multiply(sk_c6,X14))
| ~ spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f487,f507]) ).
fof(f487,plain,
( ! [X14] : multiply(sk_c8,X14) = multiply(sk_c5,multiply(sk_c6,X14))
| ~ spl11_1 ),
inference(backward_demodulation,[],[f183,f81]) ).
fof(f183,plain,
! [X14] : multiply(sk_c5,multiply(sk_c6,X14)) = multiply(sF0,X14),
inference(superposition,[],[f3,f36]) ).
fof(f413,plain,
! [X0] : multiply(inverse(sF6),X0) = multiply(sk_c5,X0),
inference(forward_demodulation,[],[f412,f1]) ).
fof(f412,plain,
! [X0] : multiply(inverse(sF6),multiply(identity,X0)) = multiply(sk_c5,X0),
inference(superposition,[],[f3,f219]) ).
fof(f219,plain,
sk_c5 = multiply(inverse(sF6),identity),
inference(superposition,[],[f194,f171]) ).
fof(f171,plain,
identity = multiply(sF6,sk_c5),
inference(superposition,[],[f2,f46]) ).
fof(f547,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f492,f544]) ).
fof(f492,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl11_2
| ~ spl11_6 ),
inference(forward_demodulation,[],[f217,f165]) ).
fof(f217,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c6)
| ~ spl11_2 ),
inference(superposition,[],[f194,f167]) ).
fof(f564,plain,
( sk_c7 = sk_c3
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f524,f548]) ).
fof(f548,plain,
( sk_c7 = multiply(inverse(sk_c7),identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f514,f544]) ).
fof(f514,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f207,f507]) ).
fof(f207,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl11_4 ),
inference(superposition,[],[f194,f166]) ).
fof(f166,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl11_4 ),
inference(backward_demodulation,[],[f37,f95]) ).
fof(f95,plain,
( sk_c6 = sF1
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f577,plain,
( spl11_27
| ~ spl11_2
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f576,f132,f120,f108,f102,f97,f83,f482]) ).
fof(f576,plain,
( identity = sF6
| ~ spl11_2
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f134,f544]) ).
fof(f471,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f470,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f469,f275]) ).
fof(f275,plain,
( identity = inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(forward_demodulation,[],[f257,f269]) ).
fof(f269,plain,
( identity = sk_c1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(forward_demodulation,[],[f263,f2]) ).
fof(f263,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f212,f253]) ).
fof(f253,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(forward_demodulation,[],[f252,f240]) ).
fof(f240,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(forward_demodulation,[],[f239,f1]) ).
fof(f239,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl11_2
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(forward_demodulation,[],[f227,f237]) ).
fof(f237,plain,
( identity = sk_c2
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(forward_demodulation,[],[f236,f2]) ).
fof(f236,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f208,f221]) ).
fof(f221,plain,
( identity = sk_c7
| ~ spl11_8
| ~ spl11_10 ),
inference(forward_demodulation,[],[f210,f2]) ).
fof(f210,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl11_8
| ~ spl11_10 ),
inference(superposition,[],[f194,f195]) ).
fof(f195,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl11_8
| ~ spl11_10 ),
inference(superposition,[],[f188,f168]) ).
fof(f168,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f45,f128]) ).
fof(f128,plain,
( sk_c7 = sF5
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl11_10
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f45,plain,
multiply(sk_c1,sk_c8) = sF5,
introduced(function_definition,[]) ).
fof(f188,plain,
( ! [X11] : multiply(sk_c8,multiply(sk_c1,X11)) = X11
| ~ spl11_8 ),
inference(forward_demodulation,[],[f180,f1]) ).
fof(f180,plain,
( ! [X11] : multiply(identity,X11) = multiply(sk_c8,multiply(sk_c1,X11))
| ~ spl11_8 ),
inference(superposition,[],[f3,f172]) ).
fof(f172,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl11_8 ),
inference(superposition,[],[f2,f169]) ).
fof(f169,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f54,f114]) ).
fof(f114,plain,
( sk_c8 = sF10
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl11_8
<=> sk_c8 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f54,plain,
inverse(sk_c1) = sF10,
introduced(function_definition,[]) ).
fof(f227,plain,
( sk_c6 = multiply(sk_c2,identity)
| ~ spl11_2
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f167,f221]) ).
fof(f252,plain,
( sk_c8 = sk_c6
| ~ spl11_4
| ~ spl11_8
| ~ spl11_10 ),
inference(forward_demodulation,[],[f226,f1]) ).
fof(f226,plain,
( sk_c6 = multiply(identity,sk_c8)
| ~ spl11_4
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f166,f221]) ).
fof(f212,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl11_8 ),
inference(superposition,[],[f194,f172]) ).
fof(f257,plain,
( identity = inverse(sk_c1)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f169,f253]) ).
fof(f469,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f468,f275]) ).
fof(f468,plain,
( identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f449,f1]) ).
fof(f449,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_15 ),
inference(superposition,[],[f442,f2]) ).
fof(f442,plain,
( ! [X6] :
( identity != multiply(identity,multiply(X6,identity))
| identity != inverse(X6) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f441,f221]) ).
fof(f441,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c7 != multiply(identity,multiply(X6,identity)) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f440,f253]) ).
fof(f440,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(identity,multiply(X6,identity)) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f151,f253]) ).
fof(f428,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f427]) ).
fof(f427,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f426,f275]) ).
fof(f426,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f421,f275]) ).
fof(f421,plain,
( identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_14 ),
inference(trivial_inequality_removal,[],[f416]) ).
fof(f416,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_14 ),
inference(superposition,[],[f407,f2]) ).
fof(f407,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f406,f253]) ).
fof(f406,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f405,f221]) ).
fof(f405,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f148,f253]) ).
fof(f399,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f398,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f388,f275]) ).
fof(f388,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(trivial_inequality_removal,[],[f383]) ).
fof(f383,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl11_2
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(superposition,[],[f364,f1]) ).
fof(f364,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_2
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(forward_demodulation,[],[f363,f240]) ).
fof(f363,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c6 != multiply(X4,identity) )
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(forward_demodulation,[],[f362,f221]) ).
fof(f362,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| identity != inverse(X4) )
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(forward_demodulation,[],[f145,f221]) ).
fof(f361,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f360,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f359,f275]) ).
fof(f359,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f337,f275]) ).
fof(f337,plain,
( identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f334]) ).
fof(f334,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(superposition,[],[f319,f2]) ).
fof(f319,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f318,f253]) ).
fof(f318,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c8 != multiply(X7,identity) )
| ~ spl11_2
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f317,f240]) ).
fof(f317,plain,
( ! [X7] :
( sk_c8 != multiply(X7,sk_c6)
| identity != inverse(X7) )
| ~ spl11_2
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f142,f240]) ).
fof(f281,plain,
( ~ spl11_2
| spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f280,plain,
( $false
| ~ spl11_2
| spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f222,f266]) ).
fof(f266,plain,
( identity = sF9
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f247,f253]) ).
fof(f247,plain,
( sk_c8 = sF9
| ~ spl11_2
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(forward_demodulation,[],[f242,f1]) ).
fof(f242,plain,
( multiply(identity,sk_c8) = sF9
| ~ spl11_2
| ~ spl11_6
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f52,f240]) ).
fof(f222,plain,
( identity != sF9
| spl11_3
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f89,f221]) ).
fof(f89,plain,
( sk_c7 != sF9
| spl11_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f164,plain,
( spl11_11
| spl11_2 ),
inference(avatar_split_clause,[],[f70,f83,f132]) ).
fof(f70,plain,
( sk_c6 = sF3
| sk_c6 = sF6 ),
inference(definition_folding,[],[f27,f40,f46]) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f163,plain,
( spl11_11
| spl11_10 ),
inference(avatar_split_clause,[],[f47,f126,f132]) ).
fof(f47,plain,
( sk_c7 = sF5
| sk_c6 = sF6 ),
inference(definition_folding,[],[f15,f46,f45]) ).
fof(f15,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f162,plain,
( spl11_6
| spl11_5 ),
inference(avatar_split_clause,[],[f58,f97,f102]) ).
fof(f58,plain,
( sk_c7 = sF2
| sk_c7 = sF8 ),
inference(definition_folding,[],[f29,f39,f51]) ).
fof(f29,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f161,plain,
( spl11_6
| spl11_7 ),
inference(avatar_split_clause,[],[f61,f108,f102]) ).
fof(f61,plain,
( sk_c4 = sF7
| sk_c7 = sF8 ),
inference(definition_folding,[],[f30,f48,f51]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c4 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f160,plain,
( spl11_3
| spl11_10 ),
inference(avatar_split_clause,[],[f57,f126,f88]) ).
fof(f57,plain,
( sk_c7 = sF5
| sk_c7 = sF9 ),
inference(definition_folding,[],[f10,f45,f52]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f159,plain,
( spl11_7
| spl11_2 ),
inference(avatar_split_clause,[],[f63,f83,f108]) ).
fof(f63,plain,
( sk_c6 = sF3
| sk_c4 = sF7 ),
inference(definition_folding,[],[f24,f48,f40]) ).
fof(f24,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c4 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f158,plain,
( spl11_9
| spl11_6 ),
inference(avatar_split_clause,[],[f73,f102,f120]) ).
fof(f73,plain,
( sk_c7 = sF8
| sk_c8 = sF4 ),
inference(definition_folding,[],[f31,f42,f51]) ).
fof(f31,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f157,plain,
( spl11_1
| spl11_10 ),
inference(avatar_split_clause,[],[f69,f126,f79]) ).
fof(f69,plain,
( sk_c7 = sF5
| sk_c8 = sF0 ),
inference(definition_folding,[],[f14,f45,f36]) ).
fof(f14,axiom,
( sk_c8 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f156,plain,
( spl11_2
| spl11_5 ),
inference(avatar_split_clause,[],[f41,f97,f83]) ).
fof(f41,plain,
( sk_c7 = sF2
| sk_c6 = sF3 ),
inference(definition_folding,[],[f23,f40,f39]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c8,sk_c4)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f155,plain,
( spl11_2
| spl11_9 ),
inference(avatar_split_clause,[],[f43,f120,f83]) ).
fof(f43,plain,
( sk_c8 = sF4
| sk_c6 = sF3 ),
inference(definition_folding,[],[f25,f40,f42]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f154,plain,
( spl11_10
| spl11_7 ),
inference(avatar_split_clause,[],[f60,f108,f126]) ).
fof(f60,plain,
( sk_c4 = sF7
| sk_c7 = sF5 ),
inference(definition_folding,[],[f12,f48,f45]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c4 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f153,plain,
( spl11_4
| spl11_1 ),
inference(avatar_split_clause,[],[f38,f79,f93]) ).
fof(f38,plain,
( sk_c8 = sF0
| sk_c6 = sF1 ),
inference(definition_folding,[],[f8,f37,f36]) ).
fof(f8,axiom,
( sk_c8 = multiply(sk_c5,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f152,plain,
( ~ spl11_4
| spl11_12
| spl11_13
| spl11_14
| spl11_15
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f56,f88,f150,f147,f144,f141,f93]) ).
fof(f56,plain,
! [X3,X6,X7,X4] :
( sk_c7 != sF9
| sk_c7 != multiply(sk_c8,multiply(X6,sk_c8))
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c7 != inverse(X4)
| sk_c6 != inverse(X7)
| sk_c8 != multiply(X7,sk_c6)
| sk_c6 != multiply(X4,sk_c7)
| sk_c6 != sF1
| sk_c8 != inverse(X6) ),
inference(definition_folding,[],[f35,f37,f52]) ).
fof(f35,plain,
! [X3,X6,X7,X4] :
( sk_c7 != multiply(sk_c6,sk_c8)
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X6,sk_c8))
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c7 != inverse(X4)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c6 != inverse(X7)
| sk_c8 != multiply(X7,sk_c6)
| sk_c7 != multiply(X3,sk_c8) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( multiply(X6,sk_c8) != X5
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != multiply(sk_c8,X5)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X6)
| sk_c7 != inverse(X4)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c6 != inverse(X7)
| sk_c8 != multiply(X7,sk_c6)
| sk_c7 != multiply(X3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f139,plain,
( spl11_11
| spl11_8 ),
inference(avatar_split_clause,[],[f72,f112,f132]) ).
fof(f72,plain,
( sk_c8 = sF10
| sk_c6 = sF6 ),
inference(definition_folding,[],[f21,f46,f54]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f138,plain,
( spl11_4
| spl11_9 ),
inference(avatar_split_clause,[],[f44,f120,f93]) ).
fof(f44,plain,
( sk_c8 = sF4
| sk_c6 = sF1 ),
inference(definition_folding,[],[f7,f42,f37]) ).
fof(f7,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f137,plain,
( spl11_4
| spl11_7 ),
inference(avatar_split_clause,[],[f49,f108,f93]) ).
fof(f49,plain,
( sk_c4 = sF7
| sk_c6 = sF1 ),
inference(definition_folding,[],[f6,f48,f37]) ).
fof(f6,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c4 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f136,plain,
( spl11_4
| spl11_11 ),
inference(avatar_split_clause,[],[f66,f132,f93]) ).
fof(f66,plain,
( sk_c6 = sF6
| sk_c6 = sF1 ),
inference(definition_folding,[],[f9,f46,f37]) ).
fof(f9,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f135,plain,
( spl11_6
| spl11_11 ),
inference(avatar_split_clause,[],[f74,f132,f102]) ).
fof(f74,plain,
( sk_c6 = sF6
| sk_c7 = sF8 ),
inference(definition_folding,[],[f33,f51,f46]) ).
fof(f33,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f130,plain,
( spl11_10
| spl11_9 ),
inference(avatar_split_clause,[],[f67,f120,f126]) ).
fof(f67,plain,
( sk_c8 = sF4
| sk_c7 = sF5 ),
inference(definition_folding,[],[f13,f42,f45]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f129,plain,
( spl11_5
| spl11_10 ),
inference(avatar_split_clause,[],[f59,f126,f97]) ).
fof(f59,plain,
( sk_c7 = sF5
| sk_c7 = sF2 ),
inference(definition_folding,[],[f11,f39,f45]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f124,plain,
( spl11_1
| spl11_8 ),
inference(avatar_split_clause,[],[f68,f112,f79]) ).
fof(f68,plain,
( sk_c8 = sF10
| sk_c8 = sF0 ),
inference(definition_folding,[],[f20,f54,f36]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c5,sk_c6)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f123,plain,
( spl11_9
| spl11_8 ),
inference(avatar_split_clause,[],[f65,f112,f120]) ).
fof(f65,plain,
( sk_c8 = sF10
| sk_c8 = sF4 ),
inference(definition_folding,[],[f19,f42,f54]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f118,plain,
( spl11_8
| spl11_3 ),
inference(avatar_split_clause,[],[f55,f88,f112]) ).
fof(f55,plain,
( sk_c7 = sF9
| sk_c8 = sF10 ),
inference(definition_folding,[],[f16,f52,f54]) ).
fof(f16,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f117,plain,
( spl11_8
| spl11_5 ),
inference(avatar_split_clause,[],[f77,f97,f112]) ).
fof(f77,plain,
( sk_c7 = sF2
| sk_c8 = sF10 ),
inference(definition_folding,[],[f17,f39,f54]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f116,plain,
( spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f64,f93,f88]) ).
fof(f64,plain,
( sk_c6 = sF1
| sk_c7 = sF9 ),
inference(definition_folding,[],[f4,f52,f37]) ).
fof(f4,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f115,plain,
( spl11_7
| spl11_8 ),
inference(avatar_split_clause,[],[f71,f112,f108]) ).
fof(f71,plain,
( sk_c8 = sF10
| sk_c4 = sF7 ),
inference(definition_folding,[],[f18,f54,f48]) ).
fof(f18,axiom,
( sk_c4 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f106,plain,
( spl11_1
| spl11_6 ),
inference(avatar_split_clause,[],[f62,f102,f79]) ).
fof(f62,plain,
( sk_c7 = sF8
| sk_c8 = sF0 ),
inference(definition_folding,[],[f32,f36,f51]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c8 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f105,plain,
( spl11_6
| spl11_3 ),
inference(avatar_split_clause,[],[f53,f88,f102]) ).
fof(f53,plain,
( sk_c7 = sF9
| sk_c7 = sF8 ),
inference(definition_folding,[],[f28,f52,f51]) ).
fof(f28,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f100,plain,
( spl11_4
| spl11_5 ),
inference(avatar_split_clause,[],[f75,f97,f93]) ).
fof(f75,plain,
( sk_c7 = sF2
| sk_c6 = sF1 ),
inference(definition_folding,[],[f5,f37,f39]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c8,sk_c4)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f91,plain,
( spl11_3
| spl11_2 ),
inference(avatar_split_clause,[],[f76,f83,f88]) ).
fof(f76,plain,
( sk_c6 = sF3
| sk_c7 = sF9 ),
inference(definition_folding,[],[f22,f40,f52]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f86,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f50,f83,f79]) ).
fof(f50,plain,
( sk_c6 = sF3
| sk_c8 = sF0 ),
inference(definition_folding,[],[f26,f36,f40]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP316-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12 % 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 : n022.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 22:25:11 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.46 % (16922)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.47 % (16922)Refutation not found, incomplete strategy% (16922)------------------------------
% 0.19/0.47 % (16922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (16922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (16922)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.47
% 0.19/0.47 % (16922)Memory used [KB]: 5884
% 0.19/0.47 % (16922)Time elapsed: 0.100 s
% 0.19/0.47 % (16922)Instructions burned: 6 (million)
% 0.19/0.47 % (16922)------------------------------
% 0.19/0.47 % (16922)------------------------------
% 0.19/0.48 % (16930)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.48 % (16940)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.48 % (16930)Instruction limit reached!
% 0.19/0.48 % (16930)------------------------------
% 0.19/0.48 % (16930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (16930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (16930)Termination reason: Unknown
% 0.19/0.48 % (16930)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (16930)Memory used [KB]: 5884
% 0.19/0.48 % (16930)Time elapsed: 0.102 s
% 0.19/0.48 % (16930)Instructions burned: 5 (million)
% 0.19/0.48 % (16930)------------------------------
% 0.19/0.48 % (16930)------------------------------
% 0.19/0.49 % (16926)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49 % (16941)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 % (16941)Refutation not found, incomplete strategy% (16941)------------------------------
% 0.19/0.50 % (16941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (16918)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.50 % (16941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (16926)Instruction limit reached!
% 0.19/0.50 % (16926)------------------------------
% 0.19/0.50 % (16926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (16941)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (16941)Memory used [KB]: 5884
% 0.19/0.50 % (16941)Time elapsed: 0.105 s
% 0.19/0.50 % (16941)Instructions burned: 3 (million)
% 0.19/0.50 % (16941)------------------------------
% 0.19/0.50 % (16941)------------------------------
% 0.19/0.50 % (16926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (16926)Termination reason: Unknown
% 0.19/0.50 % (16926)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (16926)Memory used [KB]: 5884
% 0.19/0.50 % (16926)Time elapsed: 0.114 s
% 0.19/0.50 % (16926)Instructions burned: 5 (million)
% 0.19/0.50 % (16926)------------------------------
% 0.19/0.50 % (16926)------------------------------
% 0.19/0.50 % (16933)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50 % (16921)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 % (16921)Refutation not found, incomplete strategy% (16921)------------------------------
% 0.19/0.51 % (16921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16921)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (16921)Memory used [KB]: 5884
% 0.19/0.51 % (16921)Time elapsed: 0.121 s
% 0.19/0.51 % (16921)Instructions burned: 3 (million)
% 0.19/0.51 % (16921)------------------------------
% 0.19/0.51 % (16921)------------------------------
% 0.19/0.51 % (16920)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.51 % (16920)Instruction limit reached!
% 0.19/0.51 % (16920)------------------------------
% 0.19/0.51 % (16920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16920)Termination reason: Unknown
% 0.19/0.51 % (16920)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (16920)Memory used [KB]: 5884
% 0.19/0.51 % (16920)Time elapsed: 0.123 s
% 0.19/0.51 % (16920)Instructions burned: 5 (million)
% 0.19/0.51 % (16920)------------------------------
% 0.19/0.51 % (16920)------------------------------
% 0.19/0.51 % (16946)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.51 % (16939)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.51 % (16943)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.51 % (16919)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 % (16923)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.51 % (16945)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.52 % (16927)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)
% 0.19/0.52 % (16924)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.52 % (16925)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (16929)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.52 % (16947)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (16935)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52 % (16925)Refutation not found, incomplete strategy% (16925)------------------------------
% 0.19/0.52 % (16925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (16925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (16925)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (16925)Memory used [KB]: 5884
% 0.19/0.52 % (16925)Time elapsed: 0.108 s
% 0.19/0.52 % (16925)Instructions burned: 6 (million)
% 0.19/0.52 % (16925)------------------------------
% 0.19/0.52 % (16925)------------------------------
% 0.19/0.52 % (16933)Instruction limit reached!
% 0.19/0.52 % (16933)------------------------------
% 0.19/0.52 % (16933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (16933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (16933)Termination reason: Unknown
% 0.19/0.52 % (16933)Termination phase: Finite model building preprocessing
% 0.19/0.52
% 0.19/0.52 % (16933)Memory used [KB]: 6012
% 0.19/0.52 % (16933)Time elapsed: 0.005 s
% 0.19/0.52 % (16933)Instructions burned: 7 (million)
% 0.19/0.52 % (16933)------------------------------
% 0.19/0.52 % (16933)------------------------------
% 0.19/0.52 % (16936)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.53 % (16942)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.53 % (16928)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.53 % (16937)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (16946)Refutation not found, incomplete strategy% (16946)------------------------------
% 0.19/0.53 % (16946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16928)Instruction limit reached!
% 0.19/0.53 % (16928)------------------------------
% 0.19/0.53 % (16928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16928)Termination reason: Unknown
% 0.19/0.53 % (16928)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (16928)Memory used [KB]: 6012
% 0.19/0.53 % (16928)Time elapsed: 0.150 s
% 0.19/0.53 % (16928)Instructions burned: 7 (million)
% 0.19/0.53 % (16928)------------------------------
% 0.19/0.53 % (16928)------------------------------
% 0.19/0.53 % (16931)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (16931)Instruction limit reached!
% 0.19/0.53 % (16931)------------------------------
% 0.19/0.53 % (16931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16931)Termination reason: Unknown
% 0.19/0.53 % (16931)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (16931)Memory used [KB]: 5884
% 0.19/0.53 % (16931)Time elapsed: 0.003 s
% 0.19/0.53 % (16931)Instructions burned: 5 (million)
% 0.19/0.53 % (16931)------------------------------
% 0.19/0.53 % (16931)------------------------------
% 0.19/0.53 % (16934)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (16946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16946)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (16946)Memory used [KB]: 5884
% 0.19/0.53 % (16946)Time elapsed: 0.136 s
% 0.19/0.53 % (16946)Instructions burned: 6 (million)
% 0.19/0.53 % (16946)------------------------------
% 0.19/0.53 % (16946)------------------------------
% 0.19/0.53 % (16932)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.53 % (16944)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.53 % (16934)Instruction limit reached!
% 0.19/0.53 % (16934)------------------------------
% 0.19/0.53 % (16934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16934)Termination reason: Unknown
% 0.19/0.53 % (16934)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (16934)Memory used [KB]: 1279
% 0.19/0.53 % (16934)Time elapsed: 0.002 s
% 0.19/0.53 % (16934)Instructions burned: 2 (million)
% 0.19/0.53 % (16934)------------------------------
% 0.19/0.53 % (16934)------------------------------
% 0.19/0.53 % (16938)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)
% 0.19/0.54 % (16944)Refutation not found, incomplete strategy% (16944)------------------------------
% 0.19/0.54 % (16944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (16944)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (16944)Memory used [KB]: 5884
% 0.19/0.54 % (16944)Time elapsed: 0.158 s
% 0.19/0.54 % (16944)Instructions burned: 5 (million)
% 0.19/0.54 % (16944)------------------------------
% 0.19/0.54 % (16944)------------------------------
% 0.19/0.54 % (16938)Instruction limit reached!
% 0.19/0.54 % (16938)------------------------------
% 0.19/0.54 % (16938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (16938)Termination reason: Unknown
% 0.19/0.54 % (16938)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (16938)Memory used [KB]: 1407
% 0.19/0.54 % (16938)Time elapsed: 0.152 s
% 0.19/0.54 % (16938)Instructions burned: 6 (million)
% 0.19/0.54 % (16938)------------------------------
% 0.19/0.54 % (16938)------------------------------
% 0.19/0.54 % (16923)Instruction limit reached!
% 0.19/0.54 % (16923)------------------------------
% 0.19/0.54 % (16923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (16923)Termination reason: Unknown
% 0.19/0.54 % (16923)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (16923)Memory used [KB]: 6140
% 0.19/0.54 % (16923)Time elapsed: 0.146 s
% 0.19/0.54 % (16923)Instructions burned: 26 (million)
% 0.19/0.54 % (16923)------------------------------
% 0.19/0.54 % (16923)------------------------------
% 0.19/0.54 % (16929)Instruction limit reached!
% 0.19/0.54 % (16929)------------------------------
% 0.19/0.54 % (16929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16935)Instruction limit reached!
% 0.19/0.54 % (16935)------------------------------
% 0.19/0.54 % (16935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (16935)Termination reason: Unknown
% 0.19/0.54 % (16935)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (16935)Memory used [KB]: 6012
% 0.19/0.54 % (16935)Time elapsed: 0.169 s
% 0.19/0.54 % (16935)Instructions burned: 8 (million)
% 0.19/0.54 % (16935)------------------------------
% 0.19/0.54 % (16935)------------------------------
% 0.19/0.55 % (16929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (16929)Termination reason: Unknown
% 0.19/0.55 % (16929)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (16929)Memory used [KB]: 6268
% 0.19/0.55 % (16929)Time elapsed: 0.163 s
% 0.19/0.55 % (16929)Instructions burned: 24 (million)
% 0.19/0.55 % (16929)------------------------------
% 0.19/0.55 % (16929)------------------------------
% 0.19/0.55 % (16937)Instruction limit reached!
% 0.19/0.55 % (16937)------------------------------
% 0.19/0.55 % (16937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (16937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (16937)Termination reason: Unknown
% 0.19/0.55 % (16937)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (16937)Memory used [KB]: 6012
% 0.19/0.55 % (16937)Time elapsed: 0.151 s
% 0.19/0.55 % (16937)Instructions burned: 8 (million)
% 0.19/0.55 % (16937)------------------------------
% 0.19/0.55 % (16937)------------------------------
% 0.19/0.55 % (16918)First to succeed.
% 0.19/0.56 % (16918)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (16918)------------------------------
% 0.19/0.56 % (16918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (16918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (16918)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (16918)Memory used [KB]: 6396
% 0.19/0.56 % (16918)Time elapsed: 0.177 s
% 0.19/0.56 % (16918)Instructions burned: 34 (million)
% 0.19/0.56 % (16918)------------------------------
% 0.19/0.56 % (16918)------------------------------
% 0.19/0.56 % (16917)Success in time 0.213 s
%------------------------------------------------------------------------------