TSTP Solution File: GRP280-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP280-1 : 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 : n020.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 16:15:10 EDT 2022
% Result : Unsatisfiable 2.09s 0.63s
% Output : Refutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 70
% Syntax : Number of formulae : 373 ( 25 unt; 0 def)
% Number of atoms : 1718 ( 468 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 2649 (1304 ~;1327 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 22 con; 0-2 aty)
% Number of variables : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1304,plain,
$false,
inference(avatar_sat_refutation,[],[f100,f109,f118,f123,f124,f129,f134,f135,f140,f141,f146,f147,f148,f161,f162,f163,f164,f165,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f302,f364,f373,f405,f441,f456,f527,f579,f950,f1101,f1132,f1153,f1177,f1199,f1212,f1238,f1259,f1281,f1303]) ).
fof(f1303,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15
| ~ spl12_20 ),
inference(avatar_contradiction_clause,[],[f1302]) ).
fof(f1302,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15
| ~ spl12_20 ),
inference(subsumption_resolution,[],[f1294,f1157]) ).
fof(f1157,plain,
( identity = inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_20 ),
inference(forward_demodulation,[],[f371,f1146]) ).
fof(f1146,plain,
( identity = sk_c1
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f1145,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1145,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f460,f1049]) ).
fof(f1049,plain,
( identity = sk_c9
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f1048,f1042]) ).
fof(f1042,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f56,f930]) ).
fof(f930,plain,
( identity = sF7
| ~ spl12_1
| ~ spl12_6
| ~ spl12_10
| ~ spl12_11 ),
inference(backward_demodulation,[],[f145,f927]) ).
fof(f927,plain,
( identity = sk_c8
| ~ spl12_1
| ~ spl12_6
| ~ spl12_10 ),
inference(forward_demodulation,[],[f926,f2]) ).
fof(f926,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_10 ),
inference(forward_demodulation,[],[f228,f925]) ).
fof(f925,plain,
( sk_c9 = sF11
| ~ spl12_1
| ~ spl12_6
| ~ spl12_10 ),
inference(backward_demodulation,[],[f95,f920]) ).
fof(f920,plain,
( sk_c9 = sk_c7
| ~ spl12_1
| ~ spl12_6
| ~ spl12_10 ),
inference(backward_demodulation,[],[f912,f919]) ).
fof(f919,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl12_6
| ~ spl12_10 ),
inference(forward_demodulation,[],[f459,f117]) ).
fof(f117,plain,
( sk_c8 = sF9
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl12_6
<=> sk_c8 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f459,plain,
( sk_c9 = multiply(sk_c9,sF9)
| ~ spl12_10 ),
inference(backward_demodulation,[],[f242,f139]) ).
fof(f139,plain,
( sk_c9 = sF0
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl12_10
<=> sk_c9 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f242,plain,
sk_c9 = multiply(sF0,sF9),
inference(forward_demodulation,[],[f236,f43]) ).
fof(f43,plain,
inverse(sk_c1) = sF0,
introduced(function_definition,[]) ).
fof(f236,plain,
sk_c9 = multiply(inverse(sk_c1),sF9),
inference(superposition,[],[f214,f60]) ).
fof(f60,plain,
multiply(sk_c1,sk_c9) = sF9,
introduced(function_definition,[]) ).
fof(f214,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f201,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f201,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f912,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| ~ spl12_1 ),
inference(forward_demodulation,[],[f71,f95]) ).
fof(f71,plain,
multiply(sk_c9,sk_c8) = sF11,
introduced(function_definition,[]) ).
fof(f95,plain,
( sk_c7 = sF11
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl12_1
<=> sk_c7 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f228,plain,
sk_c8 = multiply(inverse(sk_c9),sF11),
inference(superposition,[],[f214,f71]) ).
fof(f145,plain,
( sk_c8 = sF7
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl12_11
<=> sk_c8 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f56,plain,
multiply(sk_c9,sk_c3) = sF7,
introduced(function_definition,[]) ).
fof(f1048,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl12_3
| ~ spl12_8 ),
inference(backward_demodulation,[],[f1026,f104]) ).
fof(f104,plain,
( sk_c3 = sF2
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl12_3
<=> sk_c3 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f1026,plain,
( sk_c9 = multiply(sk_c9,sF2)
| ~ spl12_8 ),
inference(backward_demodulation,[],[f243,f128]) ).
fof(f128,plain,
( sk_c9 = sF10
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl12_8
<=> sk_c9 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f243,plain,
sk_c9 = multiply(sF10,sF2),
inference(forward_demodulation,[],[f237,f62]) ).
fof(f62,plain,
inverse(sk_c2) = sF10,
introduced(function_definition,[]) ).
fof(f237,plain,
sk_c9 = multiply(inverse(sk_c2),sF2),
inference(superposition,[],[f214,f46]) ).
fof(f46,plain,
multiply(sk_c2,sk_c9) = sF2,
introduced(function_definition,[]) ).
fof(f460,plain,
( sk_c1 = multiply(inverse(sk_c9),identity)
| ~ spl12_10 ),
inference(backward_demodulation,[],[f238,f139]) ).
fof(f238,plain,
sk_c1 = multiply(inverse(sF0),identity),
inference(superposition,[],[f214,f197]) ).
fof(f197,plain,
identity = multiply(sF0,sk_c1),
inference(superposition,[],[f2,f43]) ).
fof(f371,plain,
( identity = inverse(sk_c1)
| ~ spl12_20 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f370,plain,
( spl12_20
<=> identity = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).
fof(f1294,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15 ),
inference(trivial_inequality_removal,[],[f1288]) ).
fof(f1288,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15 ),
inference(superposition,[],[f1284,f1]) ).
fof(f1284,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1283,f1049]) ).
fof(f1283,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c9 != inverse(X3) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1282,f927]) ).
fof(f1282,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| sk_c9 != inverse(X3) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15 ),
inference(forward_demodulation,[],[f160,f1049]) ).
fof(f160,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl12_15
<=> ! [X3] :
( sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f1281,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12
| ~ spl12_20 ),
inference(avatar_contradiction_clause,[],[f1280]) ).
fof(f1280,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12
| ~ spl12_20 ),
inference(subsumption_resolution,[],[f1273,f1157]) ).
fof(f1273,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(trivial_inequality_removal,[],[f1266]) ).
fof(f1266,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(superposition,[],[f1262,f1]) ).
fof(f1262,plain,
( ! [X8] :
( identity != multiply(X8,identity)
| identity != inverse(X8) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1261,f1049]) ).
fof(f1261,plain,
( ! [X8] :
( identity != multiply(X8,identity)
| sk_c9 != inverse(X8) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1260,f1057]) ).
fof(f1057,plain,
( identity = sk_c7
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11 ),
inference(backward_demodulation,[],[f920,f1049]) ).
fof(f1260,plain,
( ! [X8] :
( sk_c7 != multiply(X8,identity)
| sk_c9 != inverse(X8) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f151,f1049]) ).
fof(f151,plain,
( ! [X8] :
( sk_c7 != multiply(X8,sk_c9)
| sk_c9 != inverse(X8) )
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl12_12
<=> ! [X8] :
( sk_c9 != inverse(X8)
| sk_c7 != multiply(X8,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f1259,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13
| ~ spl12_20 ),
inference(avatar_contradiction_clause,[],[f1258]) ).
fof(f1258,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13
| ~ spl12_20 ),
inference(subsumption_resolution,[],[f1252,f1]) ).
fof(f1252,plain,
( identity != multiply(identity,identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13
| ~ spl12_20 ),
inference(duplicate_literal_removal,[],[f1250]) ).
fof(f1250,plain,
( identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13
| ~ spl12_20 ),
inference(superposition,[],[f1242,f1157]) ).
fof(f1242,plain,
( ! [X6] :
( identity != multiply(inverse(X6),identity)
| identity != multiply(X6,inverse(X6)) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f1241,f1049]) ).
fof(f1241,plain,
( ! [X6] :
( sk_c9 != multiply(inverse(X6),identity)
| identity != multiply(X6,inverse(X6)) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f1240,f927]) ).
fof(f1240,plain,
( ! [X6] :
( identity != multiply(X6,inverse(X6))
| sk_c9 != multiply(inverse(X6),sk_c8) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f154,f1049]) ).
fof(f154,plain,
( ! [X6] :
( sk_c9 != multiply(X6,inverse(X6))
| sk_c9 != multiply(inverse(X6),sk_c8) )
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl12_13
<=> ! [X6] :
( sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c9 != multiply(X6,inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f1238,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14
| ~ spl12_20 ),
inference(avatar_contradiction_clause,[],[f1237]) ).
fof(f1237,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14
| ~ spl12_20 ),
inference(subsumption_resolution,[],[f1236,f1157]) ).
fof(f1236,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14
| ~ spl12_20 ),
inference(forward_demodulation,[],[f1235,f1157]) ).
fof(f1235,plain,
( identity != inverse(inverse(identity))
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f1229,f1]) ).
fof(f1229,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14 ),
inference(superposition,[],[f1218,f2]) ).
fof(f1218,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14 ),
inference(forward_demodulation,[],[f1217,f927]) ).
fof(f1217,plain,
( ! [X5] :
( sk_c8 != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14 ),
inference(forward_demodulation,[],[f1216,f1049]) ).
fof(f1216,plain,
( ! [X5] :
( sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| identity != inverse(X5) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14 ),
inference(forward_demodulation,[],[f157,f1049]) ).
fof(f157,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) )
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl12_14
<=> ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f1212,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f1211]) ).
fof(f1211,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f1210,f1138]) ).
fof(f1138,plain,
( identity = inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f1137,f1049]) ).
fof(f1137,plain,
( sk_c9 = inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f191,f1123]) ).
fof(f1123,plain,
( identity = sk_c6
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f1122,f2]) ).
fof(f1122,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f230,f1049]) ).
fof(f230,plain,
( sk_c6 = multiply(inverse(sk_c9),identity)
| ~ spl12_7 ),
inference(superposition,[],[f214,f196]) ).
fof(f196,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl12_7 ),
inference(superposition,[],[f2,f191]) ).
fof(f191,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl12_7 ),
inference(backward_demodulation,[],[f49,f122]) ).
fof(f122,plain,
( sk_c9 = sF4
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl12_7
<=> sk_c9 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f49,plain,
inverse(sk_c6) = sF4,
introduced(function_definition,[]) ).
fof(f1210,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1206,f1138]) ).
fof(f1206,plain,
( identity != inverse(inverse(identity))
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(trivial_inequality_removal,[],[f1205]) ).
fof(f1205,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(superposition,[],[f1202,f2]) ).
fof(f1202,plain,
( ! [X8] :
( identity != multiply(X8,identity)
| identity != inverse(X8) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1201,f1049]) ).
fof(f1201,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| identity != multiply(X8,identity) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f1200,f1057]) ).
fof(f1200,plain,
( ! [X8] :
( sk_c7 != multiply(X8,identity)
| sk_c9 != inverse(X8) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f151,f1049]) ).
fof(f1199,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f1198]) ).
fof(f1198,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f1197,f1]) ).
fof(f1197,plain,
( identity != multiply(identity,identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f1184,f1138]) ).
fof(f1184,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(trivial_inequality_removal,[],[f1183]) ).
fof(f1183,plain,
( identity != identity
| identity != multiply(identity,inverse(identity))
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(superposition,[],[f1180,f2]) ).
fof(f1180,plain,
( ! [X6] :
( identity != multiply(inverse(X6),identity)
| identity != multiply(X6,inverse(X6)) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f1179,f1049]) ).
fof(f1179,plain,
( ! [X6] :
( identity != multiply(X6,inverse(X6))
| sk_c9 != multiply(inverse(X6),identity) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(forward_demodulation,[],[f1178,f1049]) ).
fof(f1178,plain,
( ! [X6] :
( sk_c9 != multiply(X6,inverse(X6))
| sk_c9 != multiply(inverse(X6),identity) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_10
| ~ spl12_13 ),
inference(forward_demodulation,[],[f154,f927]) ).
fof(f1177,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14 ),
inference(avatar_contradiction_clause,[],[f1176]) ).
fof(f1176,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f1175,f1138]) ).
fof(f1175,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14 ),
inference(forward_demodulation,[],[f1174,f1138]) ).
fof(f1174,plain,
( identity != inverse(inverse(identity))
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f1172,f1]) ).
fof(f1172,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14 ),
inference(superposition,[],[f1160,f2]) ).
fof(f1160,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14 ),
inference(forward_demodulation,[],[f1159,f1049]) ).
fof(f1159,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| sk_c9 != inverse(X5) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14 ),
inference(forward_demodulation,[],[f1158,f927]) ).
fof(f1158,plain,
( ! [X5] :
( sk_c8 != multiply(identity,multiply(X5,identity))
| sk_c9 != inverse(X5) )
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_14 ),
inference(forward_demodulation,[],[f157,f1049]) ).
fof(f1153,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(avatar_contradiction_clause,[],[f1152]) ).
fof(f1152,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(subsumption_resolution,[],[f1151,f927]) ).
fof(f1151,plain,
( identity != sk_c8
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f132,f1135]) ).
fof(f1135,plain,
( identity = sF6
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f1134,f1]) ).
fof(f1134,plain,
( sF6 = multiply(identity,identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f1133,f1049]) ).
fof(f1133,plain,
( sF6 = multiply(sk_c9,identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f53,f1057]) ).
fof(f53,plain,
multiply(sk_c9,sk_c7) = sF6,
introduced(function_definition,[]) ).
fof(f132,plain,
( sk_c8 != sF6
| spl12_9 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl12_9
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f1132,plain,
( spl12_20
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11 ),
inference(avatar_split_clause,[],[f1131,f143,f137,f126,f115,f102,f93,f370]) ).
fof(f1131,plain,
( identity = inverse(sk_c1)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f463,f1049]) ).
fof(f463,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl12_10 ),
inference(backward_demodulation,[],[f43,f139]) ).
fof(f1101,plain,
( ~ spl12_1
| ~ spl12_3
| spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(avatar_contradiction_clause,[],[f1100]) ).
fof(f1100,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(subsumption_resolution,[],[f1099,f1058]) ).
fof(f1058,plain,
( identity != sF5
| ~ spl12_1
| ~ spl12_3
| spl12_5
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11 ),
inference(backward_demodulation,[],[f922,f1049]) ).
fof(f922,plain,
( sk_c9 != sF5
| ~ spl12_1
| spl12_5
| ~ spl12_6
| ~ spl12_10 ),
inference(backward_demodulation,[],[f112,f920]) ).
fof(f112,plain,
( sk_c7 != sF5
| spl12_5 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl12_5
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f1099,plain,
( identity = sF5
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f1098,f1]) ).
fof(f1098,plain,
( sF5 = multiply(identity,identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f1097,f1062]) ).
fof(f1062,plain,
( identity = sk_c6
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(backward_demodulation,[],[f951,f1049]) ).
fof(f951,plain,
( sk_c9 = sk_c6
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f230,f936]) ).
fof(f936,plain,
( sk_c9 = multiply(inverse(sk_c9),identity)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f923,f927]) ).
fof(f923,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c8)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f229,f920]) ).
fof(f229,plain,
( sk_c7 = multiply(inverse(sk_c9),sk_c8)
| ~ spl12_9 ),
inference(superposition,[],[f214,f193]) ).
fof(f193,plain,
( sk_c8 = multiply(sk_c9,sk_c7)
| ~ spl12_9 ),
inference(backward_demodulation,[],[f53,f133]) ).
fof(f133,plain,
( sk_c8 = sF6
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f1097,plain,
( sF5 = multiply(sk_c6,identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_6
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f51,f1049]) ).
fof(f51,plain,
multiply(sk_c6,sk_c9) = sF5,
introduced(function_definition,[]) ).
fof(f950,plain,
( ~ spl12_1
| ~ spl12_6
| ~ spl12_10
| spl12_19 ),
inference(avatar_contradiction_clause,[],[f949]) ).
fof(f949,plain,
( $false
| ~ spl12_1
| ~ spl12_6
| ~ spl12_10
| spl12_19 ),
inference(subsumption_resolution,[],[f928,f368]) ).
fof(f368,plain,
( identity != sF9
| spl12_19 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f366,plain,
( spl12_19
<=> identity = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f928,plain,
( identity = sF9
| ~ spl12_1
| ~ spl12_6
| ~ spl12_10 ),
inference(backward_demodulation,[],[f117,f927]) ).
fof(f579,plain,
( ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_15 ),
inference(avatar_contradiction_clause,[],[f578]) ).
fof(f578,plain,
( $false
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_15 ),
inference(subsumption_resolution,[],[f573,f549]) ).
fof(f549,plain,
( identity = inverse(identity)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f545,f548]) ).
fof(f548,plain,
( identity = sk_c6
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(forward_demodulation,[],[f547,f2]) ).
fof(f547,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(forward_demodulation,[],[f230,f496]) ).
fof(f496,plain,
( identity = sk_c9
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(forward_demodulation,[],[f494,f2]) ).
fof(f494,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f474,f493]) ).
fof(f493,plain,
( sk_c9 = sF11
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(forward_demodulation,[],[f247,f485]) ).
fof(f485,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f459,f483]) ).
fof(f483,plain,
( sk_c9 = sF9
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9 ),
inference(forward_demodulation,[],[f117,f246]) ).
fof(f246,plain,
( sk_c9 = sk_c8
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9 ),
inference(backward_demodulation,[],[f193,f245]) ).
fof(f245,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl12_5
| ~ spl12_7 ),
inference(forward_demodulation,[],[f235,f191]) ).
fof(f235,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c7)
| ~ spl12_5 ),
inference(superposition,[],[f214,f190]) ).
fof(f190,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl12_5 ),
inference(backward_demodulation,[],[f51,f113]) ).
fof(f113,plain,
( sk_c7 = sF5
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f247,plain,
( multiply(sk_c9,sk_c9) = sF11
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9 ),
inference(backward_demodulation,[],[f71,f246]) ).
fof(f474,plain,
( sk_c9 = multiply(inverse(sk_c9),sF11)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9 ),
inference(forward_demodulation,[],[f228,f246]) ).
fof(f545,plain,
( identity = inverse(sk_c6)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(forward_demodulation,[],[f191,f496]) ).
fof(f573,plain,
( identity != inverse(identity)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_15 ),
inference(trivial_inequality_removal,[],[f570]) ).
fof(f570,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_15 ),
inference(superposition,[],[f529,f1]) ).
fof(f529,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_15 ),
inference(forward_demodulation,[],[f515,f496]) ).
fof(f515,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c9 != multiply(X3,sk_c9) )
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_15 ),
inference(backward_demodulation,[],[f475,f496]) ).
fof(f475,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_15 ),
inference(forward_demodulation,[],[f160,f246]) ).
fof(f527,plain,
( spl12_20
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(avatar_split_clause,[],[f513,f137,f131,f120,f115,f111,f370]) ).
fof(f513,plain,
( identity = inverse(sk_c1)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f463,f496]) ).
fof(f456,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_15
| ~ spl12_16 ),
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f455,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_15
| ~ spl12_16 ),
inference(subsumption_resolution,[],[f450,f326]) ).
fof(f326,plain,
( identity = inverse(identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(forward_demodulation,[],[f314,f322]) ).
fof(f322,plain,
( identity = sk_c4
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(forward_demodulation,[],[f318,f2]) ).
fof(f318,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(backward_demodulation,[],[f281,f276]) ).
fof(f276,plain,
( identity = sk_c9
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(backward_demodulation,[],[f246,f275]) ).
fof(f275,plain,
( identity = sk_c8
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(forward_demodulation,[],[f274,f2]) ).
fof(f274,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(forward_demodulation,[],[f233,f254]) ).
fof(f254,plain,
( sk_c9 = sk_c5
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(backward_demodulation,[],[f244,f249]) ).
fof(f249,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9 ),
inference(backward_demodulation,[],[f194,f246]) ).
fof(f194,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl12_2 ),
inference(backward_demodulation,[],[f47,f99]) ).
fof(f99,plain,
( sk_c9 = sF3
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl12_2
<=> sk_c9 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f47,plain,
multiply(sk_c5,sk_c8) = sF3,
introduced(function_definition,[]) ).
fof(f244,plain,
( sk_c5 = multiply(sk_c5,sk_c9)
| ~ spl12_4
| ~ spl12_16 ),
inference(forward_demodulation,[],[f232,f189]) ).
fof(f189,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl12_16 ),
inference(backward_demodulation,[],[f44,f169]) ).
fof(f169,plain,
( sk_c5 = sF1
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl12_16
<=> sk_c5 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f44,plain,
inverse(sk_c4) = sF1,
introduced(function_definition,[]) ).
fof(f232,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c9)
| ~ spl12_4 ),
inference(superposition,[],[f214,f192]) ).
fof(f192,plain,
( sk_c9 = multiply(sk_c4,sk_c5)
| ~ spl12_4 ),
inference(backward_demodulation,[],[f57,f108]) ).
fof(f108,plain,
( sk_c9 = sF8
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl12_4
<=> sk_c9 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f57,plain,
multiply(sk_c4,sk_c5) = sF8,
introduced(function_definition,[]) ).
fof(f233,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c9)
| ~ spl12_2 ),
inference(superposition,[],[f214,f194]) ).
fof(f281,plain,
( sk_c4 = multiply(inverse(sk_c9),identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(forward_demodulation,[],[f234,f254]) ).
fof(f234,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl12_16 ),
inference(superposition,[],[f214,f195]) ).
fof(f195,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl12_16 ),
inference(superposition,[],[f2,f189]) ).
fof(f314,plain,
( identity = inverse(sk_c4)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(backward_demodulation,[],[f256,f276]) ).
fof(f256,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(backward_demodulation,[],[f189,f254]) ).
fof(f450,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_15
| ~ spl12_16 ),
inference(trivial_inequality_removal,[],[f445]) ).
fof(f445,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_15
| ~ spl12_16 ),
inference(superposition,[],[f444,f1]) ).
fof(f444,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_15
| ~ spl12_16 ),
inference(forward_demodulation,[],[f443,f275]) ).
fof(f443,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_15
| ~ spl12_16 ),
inference(forward_demodulation,[],[f442,f276]) ).
fof(f442,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c8 != multiply(X3,sk_c9) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_15
| ~ spl12_16 ),
inference(forward_demodulation,[],[f160,f276]) ).
fof(f441,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_14
| ~ spl12_16 ),
inference(avatar_contradiction_clause,[],[f440]) ).
fof(f440,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_14
| ~ spl12_16 ),
inference(subsumption_resolution,[],[f439,f326]) ).
fof(f439,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_14
| ~ spl12_16 ),
inference(forward_demodulation,[],[f438,f326]) ).
fof(f438,plain,
( identity != inverse(inverse(identity))
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_14
| ~ spl12_16 ),
inference(subsumption_resolution,[],[f411,f1]) ).
fof(f411,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_14
| ~ spl12_16 ),
inference(superposition,[],[f408,f2]) ).
fof(f408,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_14
| ~ spl12_16 ),
inference(forward_demodulation,[],[f407,f275]) ).
fof(f407,plain,
( ! [X5] :
( sk_c8 != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_14
| ~ spl12_16 ),
inference(forward_demodulation,[],[f406,f276]) ).
fof(f406,plain,
( ! [X5] :
( sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| identity != inverse(X5) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_14
| ~ spl12_16 ),
inference(forward_demodulation,[],[f157,f276]) ).
fof(f405,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_13
| ~ spl12_16 ),
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f404,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_13
| ~ spl12_16 ),
inference(subsumption_resolution,[],[f403,f1]) ).
fof(f403,plain,
( identity != multiply(identity,identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_13
| ~ spl12_16 ),
inference(forward_demodulation,[],[f381,f326]) ).
fof(f381,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_13
| ~ spl12_16 ),
inference(trivial_inequality_removal,[],[f380]) ).
fof(f380,plain,
( identity != multiply(identity,inverse(identity))
| identity != identity
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_13
| ~ spl12_16 ),
inference(superposition,[],[f376,f2]) ).
fof(f376,plain,
( ! [X6] :
( identity != multiply(inverse(X6),identity)
| identity != multiply(X6,inverse(X6)) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_13
| ~ spl12_16 ),
inference(forward_demodulation,[],[f375,f276]) ).
fof(f375,plain,
( ! [X6] :
( identity != multiply(X6,inverse(X6))
| sk_c9 != multiply(inverse(X6),identity) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_13
| ~ spl12_16 ),
inference(forward_demodulation,[],[f374,f276]) ).
fof(f374,plain,
( ! [X6] :
( sk_c9 != multiply(X6,inverse(X6))
| sk_c9 != multiply(inverse(X6),identity) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_13
| ~ spl12_16 ),
inference(forward_demodulation,[],[f154,f275]) ).
fof(f373,plain,
( ~ spl12_19
| ~ spl12_20
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f347,f167,f150,f131,f120,f111,f106,f97,f370,f366]) ).
fof(f347,plain,
( identity != inverse(sk_c1)
| identity != sF9
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12
| ~ spl12_16 ),
inference(superposition,[],[f332,f305]) ).
fof(f305,plain,
( multiply(sk_c1,identity) = sF9
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(backward_demodulation,[],[f60,f276]) ).
fof(f332,plain,
( ! [X8] :
( identity != multiply(X8,identity)
| identity != inverse(X8) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12
| ~ spl12_16 ),
inference(forward_demodulation,[],[f331,f266]) ).
fof(f266,plain,
( identity = sk_c7
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9 ),
inference(forward_demodulation,[],[f253,f2]) ).
fof(f253,plain,
( sk_c7 = multiply(inverse(sk_c9),sk_c9)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9 ),
inference(backward_demodulation,[],[f229,f246]) ).
fof(f331,plain,
( ! [X8] :
( identity != inverse(X8)
| sk_c7 != multiply(X8,identity) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12
| ~ spl12_16 ),
inference(forward_demodulation,[],[f330,f276]) ).
fof(f330,plain,
( ! [X8] :
( identity != inverse(X8)
| sk_c7 != multiply(X8,sk_c9) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12
| ~ spl12_16 ),
inference(forward_demodulation,[],[f151,f276]) ).
fof(f364,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12
| ~ spl12_16 ),
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f363,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12
| ~ spl12_16 ),
inference(subsumption_resolution,[],[f349,f326]) ).
fof(f349,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12
| ~ spl12_16 ),
inference(trivial_inequality_removal,[],[f344]) ).
fof(f344,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_12
| ~ spl12_16 ),
inference(superposition,[],[f332,f1]) ).
fof(f302,plain,
( spl12_1
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(avatar_contradiction_clause,[],[f301]) ).
fof(f301,plain,
( $false
| spl12_1
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(subsumption_resolution,[],[f296,f272]) ).
fof(f272,plain,
( identity != sk_c9
| spl12_1
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(backward_demodulation,[],[f265,f266]) ).
fof(f265,plain,
( sk_c9 != sk_c7
| spl12_1
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(backward_demodulation,[],[f94,f264]) ).
fof(f264,plain,
( sk_c9 = sF11
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(forward_demodulation,[],[f247,f261]) ).
fof(f261,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(backward_demodulation,[],[f249,f254]) ).
fof(f94,plain,
( sk_c7 != sF11
| spl12_1 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f296,plain,
( identity = sk_c9
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(backward_demodulation,[],[f270,f291]) ).
fof(f291,plain,
( ! [X12] : multiply(sk_c9,X12) = X12
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(backward_demodulation,[],[f259,f284]) ).
fof(f284,plain,
( ! [X15] : multiply(sk_c4,multiply(sk_c9,X15)) = X15
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(backward_demodulation,[],[f273,f282]) ).
fof(f282,plain,
( sk_c4 = sk_c6
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(forward_demodulation,[],[f230,f281]) ).
fof(f273,plain,
( ! [X15] : multiply(sk_c6,multiply(sk_c9,X15)) = X15
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9 ),
inference(forward_demodulation,[],[f269,f1]) ).
fof(f269,plain,
( ! [X15] : multiply(identity,X15) = multiply(sk_c6,multiply(sk_c9,X15))
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9 ),
inference(backward_demodulation,[],[f209,f266]) ).
fof(f209,plain,
( ! [X15] : multiply(sk_c7,X15) = multiply(sk_c6,multiply(sk_c9,X15))
| ~ spl12_5 ),
inference(superposition,[],[f3,f190]) ).
fof(f259,plain,
( ! [X12] : multiply(sk_c9,X12) = multiply(sk_c4,multiply(sk_c9,X12))
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9
| ~ spl12_16 ),
inference(backward_demodulation,[],[f206,f254]) ).
fof(f206,plain,
( ! [X12] : multiply(sk_c9,X12) = multiply(sk_c4,multiply(sk_c5,X12))
| ~ spl12_4 ),
inference(superposition,[],[f3,f192]) ).
fof(f270,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl12_5
| ~ spl12_7
| ~ spl12_9 ),
inference(backward_demodulation,[],[f245,f266]) ).
fof(f188,plain,
( spl12_3
| spl12_16 ),
inference(avatar_split_clause,[],[f55,f167,f102]) ).
fof(f55,plain,
( sk_c5 = sF1
| sk_c3 = sF2 ),
inference(definition_folding,[],[f30,f46,f44]) ).
fof(f30,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f187,plain,
( spl12_11
| spl12_9 ),
inference(avatar_split_clause,[],[f65,f131,f143]) ).
fof(f65,plain,
( sk_c8 = sF6
| sk_c8 = sF7 ),
inference(definition_folding,[],[f22,f53,f56]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f186,plain,
( spl12_8
| spl12_9 ),
inference(avatar_split_clause,[],[f67,f131,f126]) ).
fof(f67,plain,
( sk_c8 = sF6
| sk_c9 = sF10 ),
inference(definition_folding,[],[f34,f53,f62]) ).
fof(f34,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f185,plain,
( spl12_3
| spl12_2 ),
inference(avatar_split_clause,[],[f48,f97,f102]) ).
fof(f48,plain,
( sk_c9 = sF3
| sk_c3 = sF2 ),
inference(definition_folding,[],[f31,f47,f46]) ).
fof(f31,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f184,plain,
( spl12_6
| spl12_2 ),
inference(avatar_split_clause,[],[f83,f97,f115]) ).
fof(f83,plain,
( sk_c9 = sF3
| sk_c8 = sF9 ),
inference(definition_folding,[],[f13,f47,f60]) ).
fof(f13,axiom,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f183,plain,
( spl12_9
| spl12_10 ),
inference(avatar_split_clause,[],[f89,f137,f131]) ).
fof(f89,plain,
( sk_c9 = sF0
| sk_c8 = sF6 ),
inference(definition_folding,[],[f16,f53,f43]) ).
fof(f16,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f182,plain,
( spl12_16
| spl12_1 ),
inference(avatar_split_clause,[],[f84,f93,f167]) ).
fof(f84,plain,
( sk_c7 = sF11
| sk_c5 = sF1 ),
inference(definition_folding,[],[f6,f71,f44]) ).
fof(f6,axiom,
( sk_c5 = inverse(sk_c4)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f181,plain,
( spl12_11
| spl12_16 ),
inference(avatar_split_clause,[],[f75,f167,f143]) ).
fof(f75,plain,
( sk_c5 = sF1
| sk_c8 = sF7 ),
inference(definition_folding,[],[f24,f44,f56]) ).
fof(f24,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f180,plain,
( spl12_4
| spl12_10 ),
inference(avatar_split_clause,[],[f74,f137,f106]) ).
fof(f74,plain,
( sk_c9 = sF0
| sk_c9 = sF8 ),
inference(definition_folding,[],[f17,f57,f43]) ).
fof(f17,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f179,plain,
( spl12_3
| spl12_7 ),
inference(avatar_split_clause,[],[f50,f120,f102]) ).
fof(f50,plain,
( sk_c9 = sF4
| sk_c3 = sF2 ),
inference(definition_folding,[],[f33,f46,f49]) ).
fof(f33,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f178,plain,
( spl12_6
| spl12_9 ),
inference(avatar_split_clause,[],[f77,f131,f115]) ).
fof(f77,plain,
( sk_c8 = sF6
| sk_c8 = sF9 ),
inference(definition_folding,[],[f10,f60,f53]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f177,plain,
( spl12_4
| spl12_8 ),
inference(avatar_split_clause,[],[f76,f126,f106]) ).
fof(f76,plain,
( sk_c9 = sF10
| sk_c9 = sF8 ),
inference(definition_folding,[],[f35,f57,f62]) ).
fof(f35,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f176,plain,
( spl12_16
| spl12_10 ),
inference(avatar_split_clause,[],[f45,f137,f167]) ).
fof(f45,plain,
( sk_c9 = sF0
| sk_c5 = sF1 ),
inference(definition_folding,[],[f18,f44,f43]) ).
fof(f18,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f175,plain,
( spl12_8
| spl12_7 ),
inference(avatar_split_clause,[],[f70,f120,f126]) ).
fof(f70,plain,
( sk_c9 = sF4
| sk_c9 = sF10 ),
inference(definition_folding,[],[f39,f49,f62]) ).
fof(f39,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f174,plain,
( spl12_10
| spl12_7 ),
inference(avatar_split_clause,[],[f88,f120,f137]) ).
fof(f88,plain,
( sk_c9 = sF4
| sk_c9 = sF0 ),
inference(definition_folding,[],[f21,f43,f49]) ).
fof(f21,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f173,plain,
( spl12_5
| spl12_11 ),
inference(avatar_split_clause,[],[f78,f143,f111]) ).
fof(f78,plain,
( sk_c8 = sF7
| sk_c7 = sF5 ),
inference(definition_folding,[],[f26,f51,f56]) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f172,plain,
( spl12_8
| spl12_16 ),
inference(avatar_split_clause,[],[f73,f167,f126]) ).
fof(f73,plain,
( sk_c5 = sF1
| sk_c9 = sF10 ),
inference(definition_folding,[],[f36,f62,f44]) ).
fof(f36,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f171,plain,
( spl12_4
| spl12_1 ),
inference(avatar_split_clause,[],[f82,f93,f106]) ).
fof(f82,plain,
( sk_c7 = sF11
| sk_c9 = sF8 ),
inference(definition_folding,[],[f5,f71,f57]) ).
fof(f5,axiom,
( sk_c9 = multiply(sk_c4,sk_c5)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f170,plain,
( spl12_6
| spl12_16 ),
inference(avatar_split_clause,[],[f66,f167,f115]) ).
fof(f66,plain,
( sk_c5 = sF1
| sk_c8 = sF9 ),
inference(definition_folding,[],[f12,f60,f44]) ).
fof(f12,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f165,plain,
( spl12_11
| spl12_2 ),
inference(avatar_split_clause,[],[f64,f97,f143]) ).
fof(f64,plain,
( sk_c9 = sF3
| sk_c8 = sF7 ),
inference(definition_folding,[],[f25,f47,f56]) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f164,plain,
( spl12_4
| spl12_6 ),
inference(avatar_split_clause,[],[f91,f115,f106]) ).
fof(f91,plain,
( sk_c8 = sF9
| sk_c9 = sF8 ),
inference(definition_folding,[],[f11,f60,f57]) ).
fof(f11,axiom,
( sk_c9 = multiply(sk_c4,sk_c5)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f163,plain,
( spl12_2
| spl12_8 ),
inference(avatar_split_clause,[],[f81,f126,f97]) ).
fof(f81,plain,
( sk_c9 = sF10
| sk_c9 = sF3 ),
inference(definition_folding,[],[f37,f62,f47]) ).
fof(f37,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f162,plain,
( spl12_7
| spl12_11 ),
inference(avatar_split_clause,[],[f68,f143,f120]) ).
fof(f68,plain,
( sk_c8 = sF7
| sk_c9 = sF4 ),
inference(definition_folding,[],[f27,f56,f49]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f161,plain,
( ~ spl12_1
| spl12_12
| spl12_13
| ~ spl12_9
| spl12_14
| spl12_15 ),
inference(avatar_split_clause,[],[f80,f159,f156,f131,f153,f150,f93]) ).
fof(f80,plain,
! [X3,X8,X6,X5] :
( sk_c9 != inverse(X3)
| sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c8 != sF6
| sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c9 != inverse(X8)
| sk_c7 != multiply(X8,sk_c9)
| sk_c7 != sF11
| sk_c9 != multiply(X6,inverse(X6))
| sk_c8 != multiply(X3,sk_c9) ),
inference(definition_folding,[],[f42,f53,f71]) ).
fof(f42,plain,
! [X3,X8,X6,X5] :
( sk_c9 != multiply(X6,inverse(X6))
| sk_c7 != multiply(X8,sk_c9)
| sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X3)
| multiply(sk_c9,sk_c8) != sk_c7
| sk_c9 != inverse(X8)
| sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c8 != multiply(sk_c9,sk_c7) ),
inference(equality_resolution,[],[f41]) ).
fof(f41,plain,
! [X3,X8,X6,X4,X5] :
( sk_c9 != multiply(X6,inverse(X6))
| sk_c7 != multiply(X8,sk_c9)
| multiply(X5,sk_c9) != X4
| sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,X4)
| sk_c9 != inverse(X3)
| multiply(sk_c9,sk_c8) != sk_c7
| sk_c9 != inverse(X8)
| sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c8 != multiply(sk_c9,sk_c7) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c9 != multiply(X6,X7)
| inverse(X6) != X7
| sk_c7 != multiply(X8,sk_c9)
| multiply(X5,sk_c9) != X4
| sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,X4)
| sk_c9 != inverse(X3)
| multiply(sk_c9,sk_c8) != sk_c7
| sk_c9 != inverse(X8)
| sk_c9 != multiply(X7,sk_c8)
| sk_c8 != multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f148,plain,
( spl12_1
| spl12_5 ),
inference(avatar_split_clause,[],[f86,f111,f93]) ).
fof(f86,plain,
( sk_c7 = sF5
| sk_c7 = sF11 ),
inference(definition_folding,[],[f8,f51,f71]) ).
fof(f8,axiom,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f147,plain,
( spl12_3
| spl12_5 ),
inference(avatar_split_clause,[],[f85,f111,f102]) ).
fof(f85,plain,
( sk_c7 = sF5
| sk_c3 = sF2 ),
inference(definition_folding,[],[f32,f46,f51]) ).
fof(f32,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f146,plain,
( spl12_4
| spl12_11 ),
inference(avatar_split_clause,[],[f58,f143,f106]) ).
fof(f58,plain,
( sk_c8 = sF7
| sk_c9 = sF8 ),
inference(definition_folding,[],[f23,f57,f56]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f141,plain,
( spl12_10
| spl12_2 ),
inference(avatar_split_clause,[],[f59,f97,f137]) ).
fof(f59,plain,
( sk_c9 = sF3
| sk_c9 = sF0 ),
inference(definition_folding,[],[f19,f43,f47]) ).
fof(f19,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f140,plain,
( spl12_5
| spl12_10 ),
inference(avatar_split_clause,[],[f52,f137,f111]) ).
fof(f52,plain,
( sk_c9 = sF0
| sk_c7 = sF5 ),
inference(definition_folding,[],[f20,f43,f51]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f135,plain,
( spl12_3
| spl12_9 ),
inference(avatar_split_clause,[],[f54,f131,f102]) ).
fof(f54,plain,
( sk_c8 = sF6
| sk_c3 = sF2 ),
inference(definition_folding,[],[f28,f53,f46]) ).
fof(f28,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f134,plain,
( spl12_1
| spl12_9 ),
inference(avatar_split_clause,[],[f72,f131,f93]) ).
fof(f72,plain,
( sk_c8 = sF6
| sk_c7 = sF11 ),
inference(definition_folding,[],[f4,f71,f53]) ).
fof(f4,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f129,plain,
( spl12_8
| spl12_5 ),
inference(avatar_split_clause,[],[f63,f111,f126]) ).
fof(f63,plain,
( sk_c7 = sF5
| sk_c9 = sF10 ),
inference(definition_folding,[],[f38,f62,f51]) ).
fof(f38,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f124,plain,
( spl12_7
| spl12_1 ),
inference(avatar_split_clause,[],[f79,f93,f120]) ).
fof(f79,plain,
( sk_c7 = sF11
| sk_c9 = sF4 ),
inference(definition_folding,[],[f9,f71,f49]) ).
fof(f9,axiom,
( sk_c9 = inverse(sk_c6)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f123,plain,
( spl12_6
| spl12_7 ),
inference(avatar_split_clause,[],[f61,f120,f115]) ).
fof(f61,plain,
( sk_c9 = sF4
| sk_c8 = sF9 ),
inference(definition_folding,[],[f15,f60,f49]) ).
fof(f15,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f118,plain,
( spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f69,f115,f111]) ).
fof(f69,plain,
( sk_c8 = sF9
| sk_c7 = sF5 ),
inference(definition_folding,[],[f14,f51,f60]) ).
fof(f14,axiom,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f109,plain,
( spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f90,f106,f102]) ).
fof(f90,plain,
( sk_c9 = sF8
| sk_c3 = sF2 ),
inference(definition_folding,[],[f29,f46,f57]) ).
fof(f29,axiom,
( sk_c9 = multiply(sk_c4,sk_c5)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f100,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f87,f97,f93]) ).
fof(f87,plain,
( sk_c9 = sF3
| sk_c7 = sF11 ),
inference(definition_folding,[],[f7,f71,f47]) ).
fof(f7,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP280-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:25:45 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 % (25300)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)
% 0.21/0.49 % (25310)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)
% 0.21/0.49 % (25300)Instruction limit reached!
% 0.21/0.49 % (25300)------------------------------
% 0.21/0.49 % (25300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (25300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (25300)Termination reason: Unknown
% 0.21/0.49 % (25300)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (25300)Memory used [KB]: 5884
% 0.21/0.49 % (25300)Time elapsed: 0.005 s
% 0.21/0.49 % (25300)Instructions burned: 3 (million)
% 0.21/0.49 % (25300)------------------------------
% 0.21/0.49 % (25300)------------------------------
% 0.21/0.52 % (25314)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)
% 0.21/0.53 % (25296)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)
% 0.21/0.53 % (25297)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.53 % (25298)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)
% 0.21/0.53 % (25295)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)
% 0.21/0.53 % (25310)Instruction limit reached!
% 0.21/0.53 % (25310)------------------------------
% 0.21/0.53 % (25310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (25310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (25310)Termination reason: Unknown
% 0.21/0.53 % (25310)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (25310)Memory used [KB]: 10746
% 0.21/0.53 % (25310)Time elapsed: 0.119 s
% 0.21/0.53 % (25310)Instructions burned: 28 (million)
% 0.21/0.53 % (25310)------------------------------
% 0.21/0.53 % (25310)------------------------------
% 0.21/0.54 % (25299)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)
% 0.21/0.54 % (25301)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)
% 0.21/0.54 % (25302)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)
% 0.21/0.54 % (25313)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)
% 0.21/0.54 % (25306)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)
% 0.21/0.54 % (25312)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)
% 0.21/0.54 % (25302)Instruction limit reached!
% 0.21/0.54 % (25302)------------------------------
% 0.21/0.54 % (25302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (25302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (25302)Termination reason: Unknown
% 0.21/0.54 % (25302)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (25302)Memory used [KB]: 6012
% 0.21/0.54 % (25302)Time elapsed: 0.134 s
% 0.21/0.54 % (25302)Instructions burned: 7 (million)
% 0.21/0.54 % (25302)------------------------------
% 0.21/0.54 % (25302)------------------------------
% 0.21/0.54 % (25308)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)
% 0.21/0.54 % (25308)Instruction limit reached!
% 0.21/0.54 % (25308)------------------------------
% 0.21/0.54 % (25308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (25308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (25308)Termination reason: Unknown
% 0.21/0.54 % (25308)Termination phase: Property scanning
% 0.21/0.54
% 0.21/0.54 % (25308)Memory used [KB]: 1279
% 0.21/0.54 % (25308)Time elapsed: 0.002 s
% 0.21/0.54 % (25308)Instructions burned: 2 (million)
% 0.21/0.54 % (25308)------------------------------
% 0.21/0.54 % (25308)------------------------------
% 0.21/0.54 % (25294)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)
% 0.21/0.54 % (25319)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)
% 0.21/0.54 % (25304)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)
% 0.21/0.54 % (25305)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)
% 0.21/0.55 % (25294)Instruction limit reached!
% 0.21/0.55 % (25294)------------------------------
% 0.21/0.55 % (25294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (25294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (25294)Termination reason: Unknown
% 0.21/0.55 % (25294)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (25294)Memory used [KB]: 5884
% 0.21/0.55 % (25294)Time elapsed: 0.003 s
% 0.21/0.55 % (25294)Instructions burned: 4 (million)
% 0.21/0.55 % (25294)------------------------------
% 0.21/0.55 % (25294)------------------------------
% 0.21/0.55 % (25303)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)
% 0.21/0.55 % (25305)Instruction limit reached!
% 0.21/0.55 % (25305)------------------------------
% 0.21/0.55 % (25305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (25305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (25305)Termination reason: Unknown
% 0.21/0.55 % (25305)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (25305)Memory used [KB]: 5884
% 0.21/0.55 % (25305)Time elapsed: 0.003 s
% 0.21/0.55 % (25305)Instructions burned: 3 (million)
% 0.21/0.55 % (25305)------------------------------
% 0.21/0.55 % (25305)------------------------------
% 0.21/0.55 % (25315)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)
% 0.21/0.55 % (25317)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)
% 0.21/0.55 % (25304)Instruction limit reached!
% 0.21/0.55 % (25304)------------------------------
% 0.21/0.55 % (25304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (25304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (25304)Termination reason: Unknown
% 0.21/0.55 % (25304)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (25304)Memory used [KB]: 5884
% 0.21/0.55 % (25304)Time elapsed: 0.150 s
% 0.21/0.55 % (25304)Instructions burned: 6 (million)
% 0.21/0.55 % (25304)------------------------------
% 0.21/0.55 % (25304)------------------------------
% 0.21/0.55 % (25292)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.55 % (25315)Refutation not found, incomplete strategy% (25315)------------------------------
% 0.21/0.55 % (25315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (25315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (25315)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55 % (25315)Memory used [KB]: 5884
% 0.21/0.55 % (25315)Time elapsed: 0.146 s
% 0.21/0.55 % (25315)Instructions burned: 3 (million)
% 0.21/0.55 % (25315)------------------------------
% 0.21/0.55 % (25315)------------------------------
% 0.21/0.55 % (25316)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)
% 0.21/0.55 % (25293)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)
% 0.21/0.55 % (25311)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)
% 0.21/0.55 % (25309)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.55 % (25321)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)
% 0.21/0.55 % (25318)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)
% 0.21/0.56 % (25295)Refutation not found, incomplete strategy% (25295)------------------------------
% 0.21/0.56 % (25295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (25295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (25295)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (25295)Memory used [KB]: 5884
% 0.21/0.56 % (25295)Time elapsed: 0.154 s
% 0.21/0.56 % (25295)Instructions burned: 4 (million)
% 0.21/0.56 % (25295)------------------------------
% 0.21/0.56 % (25295)------------------------------
% 0.21/0.56 % (25318)Refutation not found, incomplete strategy% (25318)------------------------------
% 0.21/0.56 % (25318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (25318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (25318)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (25318)Memory used [KB]: 5884
% 0.21/0.56 % (25318)Time elapsed: 0.155 s
% 0.21/0.56 % (25318)Instructions burned: 5 (million)
% 0.21/0.56 % (25318)------------------------------
% 0.21/0.56 % (25318)------------------------------
% 0.21/0.56 % (25320)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)
% 0.21/0.56 % (25307)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)
% 0.21/0.56 % (25320)Refutation not found, incomplete strategy% (25320)------------------------------
% 0.21/0.56 % (25320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (25320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (25320)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (25320)Memory used [KB]: 5884
% 0.21/0.56 % (25320)Time elapsed: 0.158 s
% 0.21/0.56 % (25320)Instructions burned: 4 (million)
% 0.21/0.56 % (25320)------------------------------
% 0.21/0.56 % (25320)------------------------------
% 0.21/0.56 % (25307)Instruction limit reached!
% 0.21/0.56 % (25307)------------------------------
% 0.21/0.56 % (25307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (25307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (25307)Termination reason: Unknown
% 0.21/0.56 % (25307)Termination phase: Finite model building preprocessing
% 0.21/0.56
% 0.21/0.56 % (25307)Memory used [KB]: 1407
% 0.21/0.56 % (25307)Time elapsed: 0.003 s
% 0.21/0.56 % (25307)Instructions burned: 6 (million)
% 0.21/0.56 % (25307)------------------------------
% 0.21/0.56 % (25307)------------------------------
% 0.21/0.56 % (25312)Instruction limit reached!
% 0.21/0.56 % (25312)------------------------------
% 0.21/0.56 % (25312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (25312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (25312)Termination reason: Unknown
% 0.21/0.56 % (25312)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (25312)Memory used [KB]: 1407
% 0.21/0.56 % (25312)Time elapsed: 0.137 s
% 0.21/0.56 % (25312)Instructions burned: 6 (million)
% 0.21/0.56 % (25312)------------------------------
% 0.21/0.56 % (25312)------------------------------
% 0.21/0.56 % (25297)Instruction limit reached!
% 0.21/0.56 % (25297)------------------------------
% 0.21/0.56 % (25297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (25297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (25297)Termination reason: Unknown
% 0.21/0.56 % (25297)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (25297)Memory used [KB]: 6140
% 0.21/0.56 % (25297)Time elapsed: 0.160 s
% 0.21/0.56 % (25297)Instructions burned: 25 (million)
% 0.21/0.56 % (25297)------------------------------
% 0.21/0.56 % (25297)------------------------------
% 0.21/0.57 % (25311)Instruction limit reached!
% 0.21/0.57 % (25311)------------------------------
% 0.21/0.57 % (25311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (25311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (25311)Termination reason: Unknown
% 0.21/0.57 % (25311)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (25311)Memory used [KB]: 6012
% 0.21/0.57 % (25311)Time elapsed: 0.150 s
% 0.21/0.57 % (25311)Instructions burned: 9 (million)
% 0.21/0.57 % (25311)------------------------------
% 0.21/0.57 % (25311)------------------------------
% 0.21/0.57 % (25296)Instruction limit reached!
% 0.21/0.57 % (25296)------------------------------
% 0.21/0.57 % (25296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (25296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (25296)Termination reason: Unknown
% 0.21/0.57 % (25296)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (25296)Memory used [KB]: 6652
% 0.21/0.57 % (25296)Time elapsed: 0.160 s
% 0.21/0.57 % (25296)Instructions burned: 35 (million)
% 0.21/0.57 % (25296)------------------------------
% 0.21/0.57 % (25296)------------------------------
% 0.21/0.58 % (25309)Instruction limit reached!
% 0.21/0.58 % (25309)------------------------------
% 0.21/0.58 % (25309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (25309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (25309)Termination reason: Unknown
% 0.21/0.58 % (25309)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (25309)Memory used [KB]: 6012
% 0.21/0.58 % (25309)Time elapsed: 0.181 s
% 0.21/0.58 % (25309)Instructions burned: 9 (million)
% 0.21/0.58 % (25309)------------------------------
% 0.21/0.58 % (25309)------------------------------
% 0.21/0.58 % (25303)Instruction limit reached!
% 0.21/0.58 % (25303)------------------------------
% 0.21/0.58 % (25303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (25303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (25303)Termination reason: Unknown
% 0.21/0.58 % (25303)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (25303)Memory used [KB]: 6140
% 0.21/0.58 % (25303)Time elapsed: 0.157 s
% 0.21/0.58 % (25303)Instructions burned: 24 (million)
% 0.21/0.58 % (25303)------------------------------
% 0.21/0.58 % (25303)------------------------------
% 0.21/0.59 % (25306)Instruction limit reached!
% 0.21/0.59 % (25306)------------------------------
% 0.21/0.59 % (25306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (25306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (25306)Termination reason: Unknown
% 0.21/0.59 % (25306)Termination phase: Saturation
% 0.21/0.59
% 0.21/0.59 % (25306)Memory used [KB]: 1663
% 0.21/0.59 % (25306)Time elapsed: 0.141 s
% 0.21/0.59 % (25306)Instructions burned: 30 (million)
% 0.21/0.59 % (25306)------------------------------
% 0.21/0.59 % (25306)------------------------------
% 0.21/0.60 % (25292)First to succeed.
% 0.21/0.61 % (25316)Instruction limit reached!
% 0.21/0.61 % (25316)------------------------------
% 0.21/0.61 % (25316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.61 % (25316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.61 % (25316)Termination reason: Unknown
% 0.21/0.61 % (25316)Termination phase: Saturation
% 0.21/0.61
% 0.21/0.61 % (25316)Memory used [KB]: 6908
% 0.21/0.61 % (25316)Time elapsed: 0.211 s
% 0.21/0.61 % (25316)Instructions burned: 47 (million)
% 0.21/0.61 % (25316)------------------------------
% 0.21/0.61 % (25316)------------------------------
% 0.21/0.61 % (25298)Instruction limit reached!
% 0.21/0.61 % (25298)------------------------------
% 0.21/0.61 % (25298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.61 % (25298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.61 % (25298)Termination reason: Unknown
% 0.21/0.61 % (25298)Termination phase: Saturation
% 0.21/0.61
% 0.21/0.61 % (25298)Memory used [KB]: 1535
% 0.21/0.61 % (25298)Time elapsed: 0.183 s
% 0.21/0.61 % (25298)Instructions burned: 51 (million)
% 0.21/0.61 % (25298)------------------------------
% 0.21/0.61 % (25298)------------------------------
% 0.21/0.61 % (25293)Instruction limit reached!
% 0.21/0.61 % (25293)------------------------------
% 0.21/0.61 % (25293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.61 % (25293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.61 % (25293)Termination reason: Unknown
% 0.21/0.61 % (25293)Termination phase: Saturation
% 0.21/0.61
% 0.21/0.61 % (25293)Memory used [KB]: 1663
% 0.21/0.61 % (25293)Time elapsed: 0.201 s
% 0.21/0.61 % (25293)Instructions burned: 43 (million)
% 0.21/0.61 % (25293)------------------------------
% 0.21/0.61 % (25293)------------------------------
% 0.21/0.61 % (25299)Instruction limit reached!
% 0.21/0.61 % (25299)------------------------------
% 0.21/0.61 % (25299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.61 % (25299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.61 % (25299)Termination reason: Unknown
% 0.21/0.61 % (25299)Termination phase: Saturation
% 0.21/0.61
% 0.21/0.61 % (25299)Memory used [KB]: 6780
% 0.21/0.61 % (25299)Time elapsed: 0.212 s
% 0.21/0.61 % (25299)Instructions burned: 51 (million)
% 0.21/0.61 % (25299)------------------------------
% 0.21/0.61 % (25299)------------------------------
% 2.09/0.62 % (25301)Also succeeded, but the first one will report.
% 2.09/0.63 % (25292)Refutation found. Thanks to Tanya!
% 2.09/0.63 % SZS status Unsatisfiable for theBenchmark
% 2.09/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.09/0.63 % (25292)------------------------------
% 2.09/0.63 % (25292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63 % (25292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63 % (25292)Termination reason: Refutation
% 2.09/0.63
% 2.09/0.63 % (25292)Memory used [KB]: 6396
% 2.09/0.63 % (25292)Time elapsed: 0.198 s
% 2.09/0.63 % (25292)Instructions burned: 40 (million)
% 2.09/0.63 % (25292)------------------------------
% 2.09/0.63 % (25292)------------------------------
% 2.09/0.63 % (25291)Success in time 0.28 s
%------------------------------------------------------------------------------