TSTP Solution File: GRP342-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP342-1 : 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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:27 EDT 2022
% Result : Unsatisfiable 1.79s 0.61s
% Output : Refutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 56
% Syntax : Number of formulae : 292 ( 25 unt; 0 def)
% Number of atoms : 1191 ( 356 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1762 ( 863 ~; 882 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 19 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1196,plain,
$false,
inference(avatar_sat_refutation,[],[f86,f104,f113,f118,f119,f124,f127,f132,f133,f147,f148,f149,f150,f151,f152,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f413,f465,f554,f600,f646,f676,f903,f925,f928,f945,f1018,f1081,f1153,f1177,f1195]) ).
fof(f1195,plain,
( ~ spl11_1
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_17
| ~ spl11_21 ),
inference(avatar_contradiction_clause,[],[f1194]) ).
fof(f1194,plain,
( $false
| ~ spl11_1
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_17
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f1193,f971]) ).
fof(f971,plain,
( identity = inverse(identity)
| ~ spl11_16
| ~ spl11_17 ),
inference(backward_demodulation,[],[f468,f472]) ).
fof(f472,plain,
( identity = sk_c5
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl11_17
<=> identity = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).
fof(f468,plain,
( identity = inverse(sk_c5)
| ~ spl11_16 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f467,plain,
( spl11_16
<=> identity = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).
fof(f1193,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12
| ~ spl11_16
| ~ spl11_17
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1189,f971]) ).
fof(f1189,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12
| ~ spl11_21 ),
inference(trivial_inequality_removal,[],[f1184]) ).
fof(f1184,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_1
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12
| ~ spl11_21 ),
inference(superposition,[],[f1181,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1181,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl11_1
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1180,f852]) ).
fof(f852,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_6
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f845,f848]) ).
fof(f848,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl11_1
| ~ spl11_6
| ~ spl11_21 ),
inference(forward_demodulation,[],[f843,f201]) ).
fof(f201,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f187,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f187,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f176,f1]) ).
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/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f843,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(identity),X0)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_21 ),
inference(backward_demodulation,[],[f729,f831]) ).
fof(f831,plain,
( identity = sk_c8
| ~ spl11_1
| ~ spl11_21 ),
inference(backward_demodulation,[],[f81,f490]) ).
fof(f490,plain,
( identity = sF4
| ~ spl11_21 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f489,plain,
( spl11_21
<=> identity = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_21])]) ).
fof(f81,plain,
( sk_c8 = sF4
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl11_1
<=> sk_c8 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f729,plain,
( ! [X0] : multiply(inverse(sk_c8),X0) = multiply(sk_c5,X0)
| ~ spl11_6 ),
inference(backward_demodulation,[],[f501,f103]) ).
fof(f103,plain,
( sk_c8 = sF10
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl11_6
<=> sk_c8 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f501,plain,
! [X0] : multiply(sk_c5,X0) = multiply(inverse(sF10),X0),
inference(forward_demodulation,[],[f500,f1]) ).
fof(f500,plain,
! [X0] : multiply(sk_c5,X0) = multiply(inverse(sF10),multiply(identity,X0)),
inference(superposition,[],[f3,f216]) ).
fof(f216,plain,
sk_c5 = multiply(inverse(sF10),identity),
inference(superposition,[],[f187,f171]) ).
fof(f171,plain,
identity = multiply(sF10,sk_c5),
inference(superposition,[],[f2,f53]) ).
fof(f53,plain,
inverse(sk_c5) = sF10,
introduced(function_definition,[]) ).
fof(f845,plain,
( sk_c6 = multiply(sk_c5,identity)
| ~ spl11_1
| ~ spl11_11
| ~ spl11_21 ),
inference(backward_demodulation,[],[f823,f831]) ).
fof(f823,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl11_11 ),
inference(backward_demodulation,[],[f37,f131]) ).
fof(f131,plain,
( sk_c6 = sF1
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl11_11
<=> sk_c6 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f37,plain,
multiply(sk_c5,sk_c8) = sF1,
introduced(function_definition,[]) ).
fof(f1180,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c6 != multiply(X7,identity) )
| ~ spl11_1
| ~ spl11_12
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1179,f831]) ).
fof(f1179,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c6 != multiply(X7,sk_c8) )
| ~ spl11_1
| ~ spl11_12
| ~ spl11_21 ),
inference(forward_demodulation,[],[f137,f831]) ).
fof(f137,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c6 != multiply(X7,sk_c8) )
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl11_12
<=> ! [X7] :
( sk_c6 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f1177,plain,
( ~ spl11_1
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_16
| ~ spl11_17
| ~ spl11_21 ),
inference(avatar_contradiction_clause,[],[f1176]) ).
fof(f1176,plain,
( $false
| ~ spl11_1
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_16
| ~ spl11_17
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f1162,f1]) ).
fof(f1162,plain,
( identity != multiply(identity,identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_16
| ~ spl11_17
| ~ spl11_21 ),
inference(duplicate_literal_removal,[],[f1159]) ).
fof(f1159,plain,
( identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_16
| ~ spl11_17
| ~ spl11_21 ),
inference(superposition,[],[f1156,f971]) ).
fof(f1156,plain,
( ! [X5] :
( identity != multiply(inverse(X5),identity)
| identity != multiply(X5,inverse(X5)) )
| ~ spl11_1
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1155,f831]) ).
fof(f1155,plain,
( ! [X5] :
( sk_c8 != multiply(inverse(X5),identity)
| identity != multiply(X5,inverse(X5)) )
| ~ spl11_1
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1154,f831]) ).
fof(f1154,plain,
( ! [X5] :
( sk_c8 != multiply(X5,inverse(X5))
| sk_c8 != multiply(inverse(X5),identity) )
| ~ spl11_1
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_14
| ~ spl11_21 ),
inference(forward_demodulation,[],[f143,f897]) ).
fof(f897,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f117,f894]) ).
fof(f894,plain,
( identity = sF3
| ~ spl11_1
| ~ spl11_6
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f893,f1]) ).
fof(f893,plain,
( sF3 = multiply(identity,identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f892,f831]) ).
fof(f892,plain,
( sF3 = multiply(sk_c8,identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f40,f852]) ).
fof(f40,plain,
multiply(sk_c8,sk_c6) = sF3,
introduced(function_definition,[]) ).
fof(f117,plain,
( sk_c7 = sF3
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl11_9
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f143,plain,
( ! [X5] :
( sk_c8 != multiply(inverse(X5),sk_c7)
| sk_c8 != multiply(X5,inverse(X5)) )
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl11_14
<=> ! [X5] :
( sk_c8 != multiply(X5,inverse(X5))
| sk_c8 != multiply(inverse(X5),sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f1153,plain,
( ~ spl11_1
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_16
| ~ spl11_17
| ~ spl11_21 ),
inference(avatar_contradiction_clause,[],[f1152]) ).
fof(f1152,plain,
( $false
| ~ spl11_1
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_16
| ~ spl11_17
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f1151,f971]) ).
fof(f1151,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_16
| ~ spl11_17
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1146,f971]) ).
fof(f1146,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_21 ),
inference(trivial_inequality_removal,[],[f1142]) ).
fof(f1142,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_21 ),
inference(superposition,[],[f1113,f2]) ).
fof(f1113,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_1
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1112,f831]) ).
fof(f1112,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl11_1
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_15
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1111,f897]) ).
fof(f1111,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| identity != inverse(X3) )
| ~ spl11_1
| ~ spl11_15
| ~ spl11_21 ),
inference(forward_demodulation,[],[f146,f831]) ).
fof(f146,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl11_15
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f1081,plain,
( ~ spl11_1
| spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_21 ),
inference(avatar_contradiction_clause,[],[f1080]) ).
fof(f1080,plain,
( $false
| ~ spl11_1
| spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f1079,f1034]) ).
fof(f1034,plain,
( identity != sF0
| ~ spl11_1
| spl11_4
| ~ spl11_6
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f93,f852]) ).
fof(f93,plain,
( sk_c6 != sF0
| spl11_4 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl11_4
<=> sk_c6 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f1079,plain,
( identity = sF0
| ~ spl11_1
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1078,f1]) ).
fof(f1078,plain,
( sF0 = multiply(identity,identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f1058,f897]) ).
fof(f1058,plain,
( sF0 = multiply(sk_c7,identity)
| ~ spl11_1
| ~ spl11_21 ),
inference(forward_demodulation,[],[f36,f831]) ).
fof(f36,plain,
multiply(sk_c7,sk_c8) = sF0,
introduced(function_definition,[]) ).
fof(f1018,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_16
| ~ spl11_17
| ~ spl11_21 ),
inference(avatar_contradiction_clause,[],[f1017]) ).
fof(f1017,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_16
| ~ spl11_17
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f1012,f971]) ).
fof(f1012,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_21 ),
inference(trivial_inequality_removal,[],[f1006]) ).
fof(f1006,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_21 ),
inference(superposition,[],[f872,f1]) ).
fof(f872,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_21 ),
inference(forward_demodulation,[],[f871,f864]) ).
fof(f864,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f863,f1]) ).
fof(f863,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f856,f860]) ).
fof(f860,plain,
( ! [X8] : multiply(sk_c7,X8) = X8
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f857,f1]) ).
fof(f857,plain,
( ! [X8] : multiply(identity,X8) = multiply(sk_c7,X8)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_21 ),
inference(backward_demodulation,[],[f826,f852]) ).
fof(f826,plain,
( ! [X8] : multiply(sk_c6,X8) = multiply(sk_c7,X8)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8 ),
inference(forward_demodulation,[],[f177,f679]) ).
fof(f679,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl11_1
| ~ spl11_8 ),
inference(backward_demodulation,[],[f670,f81]) ).
fof(f670,plain,
( ! [X0] : multiply(sF4,X0) = X0
| ~ spl11_8 ),
inference(forward_demodulation,[],[f661,f187]) ).
fof(f661,plain,
( ! [X0] : multiply(inverse(sk_c4),multiply(sk_c4,X0)) = multiply(sF4,X0)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f503,f112]) ).
fof(f112,plain,
( sk_c4 = sF8
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl11_8
<=> sk_c4 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f503,plain,
! [X0] : multiply(inverse(sF8),multiply(sk_c4,X0)) = multiply(sF4,X0),
inference(superposition,[],[f3,f253]) ).
fof(f253,plain,
sF4 = multiply(inverse(sF8),sk_c4),
inference(superposition,[],[f187,f219]) ).
fof(f219,plain,
sk_c4 = multiply(sF8,sF4),
inference(forward_demodulation,[],[f210,f49]) ).
fof(f49,plain,
inverse(sk_c3) = sF8,
introduced(function_definition,[]) ).
fof(f210,plain,
sk_c4 = multiply(inverse(sk_c3),sF4),
inference(superposition,[],[f187,f42]) ).
fof(f42,plain,
multiply(sk_c3,sk_c4) = sF4,
introduced(function_definition,[]) ).
fof(f177,plain,
( ! [X8] : multiply(sk_c7,multiply(sk_c8,X8)) = multiply(sk_c6,X8)
| ~ spl11_4 ),
inference(superposition,[],[f3,f168]) ).
fof(f168,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl11_4 ),
inference(backward_demodulation,[],[f36,f94]) ).
fof(f94,plain,
( sk_c6 = sF0
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f856,plain,
( multiply(identity,identity) = multiply(sk_c7,sk_c7)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_11
| ~ spl11_21 ),
inference(backward_demodulation,[],[f688,f852]) ).
fof(f688,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c7,sk_c7)
| ~ spl11_4
| ~ spl11_9 ),
inference(backward_demodulation,[],[f223,f117]) ).
fof(f223,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c7,sF3)
| ~ spl11_4 ),
inference(superposition,[],[f177,f40]) ).
fof(f871,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| sk_c7 != inverse(X4) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_21 ),
inference(forward_demodulation,[],[f855,f864]) ).
fof(f855,plain,
( ! [X4] :
( sk_c7 != multiply(X4,identity)
| sk_c7 != inverse(X4) )
| ~ spl11_1
| ~ spl11_6
| ~ spl11_11
| ~ spl11_13
| ~ spl11_21 ),
inference(backward_demodulation,[],[f140,f852]) ).
fof(f140,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl11_13
<=> ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f945,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_21 ),
inference(avatar_contradiction_clause,[],[f944]) ).
fof(f944,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f943,f877]) ).
fof(f877,plain,
( identity != sF7
| ~ spl11_1
| spl11_7
| ~ spl11_21 ),
inference(forward_demodulation,[],[f107,f831]) ).
fof(f107,plain,
( sk_c8 != sF7
| spl11_7 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl11_7
<=> sk_c8 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f943,plain,
( identity = sF7
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f940,f1]) ).
fof(f940,plain,
( multiply(identity,identity) = sF7
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_21 ),
inference(backward_demodulation,[],[f865,f937]) ).
fof(f937,plain,
( identity = sk_c1
| ~ spl11_1
| ~ spl11_5
| ~ spl11_21 ),
inference(forward_demodulation,[],[f936,f2]) ).
fof(f936,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_21 ),
inference(forward_demodulation,[],[f209,f831]) ).
fof(f209,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl11_5 ),
inference(superposition,[],[f187,f172]) ).
fof(f172,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl11_5 ),
inference(superposition,[],[f2,f167]) ).
fof(f167,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f51,f99]) ).
fof(f99,plain,
( sk_c8 = sF9
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl11_5
<=> sk_c8 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f51,plain,
inverse(sk_c1) = sF9,
introduced(function_definition,[]) ).
fof(f865,plain,
( sF7 = multiply(sk_c1,identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_21 ),
inference(backward_demodulation,[],[f46,f864]) ).
fof(f46,plain,
multiply(sk_c1,sk_c7) = sF7,
introduced(function_definition,[]) ).
fof(f928,plain,
( spl11_17
| ~ spl11_1
| ~ spl11_6
| ~ spl11_21 ),
inference(avatar_split_clause,[],[f927,f489,f101,f79,f471]) ).
fof(f927,plain,
( identity = sk_c5
| ~ spl11_1
| ~ spl11_6
| ~ spl11_21 ),
inference(forward_demodulation,[],[f926,f2]) ).
fof(f926,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_21 ),
inference(forward_demodulation,[],[f727,f831]) ).
fof(f727,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl11_6 ),
inference(backward_demodulation,[],[f216,f103]) ).
fof(f925,plain,
( ~ spl11_1
| spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_21 ),
inference(avatar_contradiction_clause,[],[f924]) ).
fof(f924,plain,
( $false
| ~ spl11_1
| spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f923,f891]) ).
fof(f891,plain,
( identity != sF5
| ~ spl11_1
| spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f84,f864]) ).
fof(f84,plain,
( sk_c7 != sF5
| spl11_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl11_2
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f923,plain,
( identity = sF5
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f922,f1]) ).
fof(f922,plain,
( multiply(identity,identity) = sF5
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f921,f869]) ).
fof(f869,plain,
( identity = sk_c2
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f867,f2]) ).
fof(f867,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_21 ),
inference(backward_demodulation,[],[f206,f864]) ).
fof(f206,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl11_10 ),
inference(superposition,[],[f187,f173]) ).
fof(f173,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl11_10 ),
inference(superposition,[],[f2,f166]) ).
fof(f166,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f39,f123]) ).
fof(f123,plain,
( sk_c7 = sF2
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl11_10
<=> sk_c7 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f39,plain,
inverse(sk_c2) = sF2,
introduced(function_definition,[]) ).
fof(f921,plain,
( multiply(sk_c2,identity) = sF5
| ~ spl11_1
| ~ spl11_6
| ~ spl11_11
| ~ spl11_21 ),
inference(forward_demodulation,[],[f43,f852]) ).
fof(f43,plain,
multiply(sk_c2,sk_c6) = sF5,
introduced(function_definition,[]) ).
fof(f903,plain,
( spl11_16
| ~ spl11_1
| ~ spl11_6
| ~ spl11_21 ),
inference(avatar_split_clause,[],[f902,f489,f101,f79,f467]) ).
fof(f902,plain,
( identity = inverse(sk_c5)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_21 ),
inference(forward_demodulation,[],[f724,f831]) ).
fof(f724,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl11_6 ),
inference(backward_demodulation,[],[f53,f103]) ).
fof(f676,plain,
( spl11_21
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f675,f110,f489]) ).
fof(f675,plain,
( identity = sF4
| ~ spl11_8 ),
inference(forward_demodulation,[],[f656,f2]) ).
fof(f656,plain,
( sF4 = multiply(inverse(sk_c4),sk_c4)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f253,f112]) ).
fof(f646,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f645]) ).
fof(f645,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f628,f356]) ).
fof(f356,plain,
( identity = inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(backward_demodulation,[],[f305,f352]) ).
fof(f352,plain,
( identity = sk_c2
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(forward_demodulation,[],[f311,f2]) ).
fof(f311,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(backward_demodulation,[],[f206,f299]) ).
fof(f299,plain,
( identity = sk_c7
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(forward_demodulation,[],[f290,f2]) ).
fof(f290,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(backward_demodulation,[],[f230,f271]) ).
fof(f271,plain,
( sk_c7 = sk_c8
| ~ spl11_2
| ~ spl11_4
| ~ spl11_10 ),
inference(backward_demodulation,[],[f205,f269]) ).
fof(f269,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl11_2
| ~ spl11_10 ),
inference(superposition,[],[f187,f194]) ).
fof(f194,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl11_2
| ~ spl11_10 ),
inference(superposition,[],[f190,f165]) ).
fof(f165,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f43,f85]) ).
fof(f85,plain,
( sk_c7 = sF5
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f190,plain,
( ! [X9] : multiply(sk_c7,multiply(sk_c2,X9)) = X9
| ~ spl11_10 ),
inference(forward_demodulation,[],[f178,f1]) ).
fof(f178,plain,
( ! [X9] : multiply(identity,X9) = multiply(sk_c7,multiply(sk_c2,X9))
| ~ spl11_10 ),
inference(superposition,[],[f3,f173]) ).
fof(f205,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl11_4 ),
inference(superposition,[],[f187,f168]) ).
fof(f230,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c7)
| ~ spl11_5
| ~ spl11_7 ),
inference(superposition,[],[f187,f221]) ).
fof(f221,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl11_5
| ~ spl11_7 ),
inference(forward_demodulation,[],[f213,f167]) ).
fof(f213,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c8)
| ~ spl11_7 ),
inference(superposition,[],[f187,f169]) ).
fof(f169,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl11_7 ),
inference(backward_demodulation,[],[f46,f108]) ).
fof(f108,plain,
( sk_c8 = sF7
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f305,plain,
( identity = inverse(sk_c2)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(backward_demodulation,[],[f166,f299]) ).
fof(f628,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_15 ),
inference(trivial_inequality_removal,[],[f617]) ).
fof(f617,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_15 ),
inference(superposition,[],[f616,f1]) ).
fof(f616,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f615,f322]) ).
fof(f322,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(backward_demodulation,[],[f271,f299]) ).
fof(f615,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f614,f322]) ).
fof(f614,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f146,f299]) ).
fof(f600,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f599]) ).
fof(f599,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f598,f1]) ).
fof(f598,plain,
( identity != multiply(identity,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f585,f356]) ).
fof(f585,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14 ),
inference(trivial_inequality_removal,[],[f580]) ).
fof(f580,plain,
( identity != multiply(identity,inverse(identity))
| identity != identity
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14 ),
inference(superposition,[],[f562,f2]) ).
fof(f562,plain,
( ! [X5] :
( identity != multiply(inverse(X5),identity)
| identity != multiply(X5,inverse(X5)) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f561,f322]) ).
fof(f561,plain,
( ! [X5] :
( identity != multiply(X5,inverse(X5))
| sk_c8 != multiply(inverse(X5),identity) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f560,f322]) ).
fof(f560,plain,
( ! [X5] :
( sk_c8 != multiply(X5,inverse(X5))
| sk_c8 != multiply(inverse(X5),identity) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f143,f299]) ).
fof(f554,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f553,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f536,f356]) ).
fof(f536,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_13 ),
inference(trivial_inequality_removal,[],[f527]) ).
fof(f527,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_13 ),
inference(superposition,[],[f495,f1]) ).
fof(f495,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_13 ),
inference(forward_demodulation,[],[f494,f299]) ).
fof(f494,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c7 != multiply(X4,identity) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_13 ),
inference(forward_demodulation,[],[f493,f324]) ).
fof(f324,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(forward_demodulation,[],[f310,f1]) ).
fof(f310,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(backward_demodulation,[],[f194,f299]) ).
fof(f493,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| identity != inverse(X4) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_13 ),
inference(forward_demodulation,[],[f140,f299]) ).
fof(f465,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f464]) ).
fof(f464,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f463,f356]) ).
fof(f463,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f459,f356]) ).
fof(f459,plain,
( identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f455]) ).
fof(f455,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_12 ),
inference(superposition,[],[f425,f2]) ).
fof(f425,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f424,f324]) ).
fof(f424,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c6 != multiply(X7,identity) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f423,f322]) ).
fof(f423,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c6 != multiply(X7,sk_c8) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f137,f322]) ).
fof(f413,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| spl11_9
| ~ spl11_10 ),
inference(avatar_contradiction_clause,[],[f412]) ).
fof(f412,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| spl11_9
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f411,f302]) ).
fof(f302,plain,
( identity != sF3
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| spl11_9
| ~ spl11_10 ),
inference(backward_demodulation,[],[f116,f299]) ).
fof(f116,plain,
( sk_c7 != sF3
| spl11_9 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f411,plain,
( identity = sF3
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(forward_demodulation,[],[f410,f1]) ).
fof(f410,plain,
( sF3 = multiply(identity,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(forward_demodulation,[],[f409,f299]) ).
fof(f409,plain,
( sF3 = multiply(sk_c7,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(forward_demodulation,[],[f273,f324]) ).
fof(f273,plain,
( sF3 = multiply(sk_c7,sk_c6)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_10 ),
inference(backward_demodulation,[],[f40,f271]) ).
fof(f164,plain,
( spl11_11
| spl11_2 ),
inference(avatar_split_clause,[],[f77,f83,f129]) ).
fof(f77,plain,
( sk_c7 = sF5
| sk_c6 = sF1 ),
inference(definition_folding,[],[f32,f43,f37]) ).
fof(f32,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f163,plain,
( spl11_5
| spl11_9 ),
inference(avatar_split_clause,[],[f69,f115,f97]) ).
fof(f69,plain,
( sk_c7 = sF3
| sk_c8 = sF9 ),
inference(definition_folding,[],[f10,f51,f40]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f162,plain,
( spl11_9
| spl11_2 ),
inference(avatar_split_clause,[],[f72,f83,f115]) ).
fof(f72,plain,
( sk_c7 = sF5
| sk_c7 = sF3 ),
inference(definition_folding,[],[f28,f43,f40]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f161,plain,
( spl11_10
| spl11_1 ),
inference(avatar_split_clause,[],[f60,f79,f121]) ).
fof(f60,plain,
( sk_c8 = sF4
| sk_c7 = sF2 ),
inference(definition_folding,[],[f23,f42,f39]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c8 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f160,plain,
( spl11_1
| spl11_5 ),
inference(avatar_split_clause,[],[f71,f97,f79]) ).
fof(f71,plain,
( sk_c8 = sF9
| sk_c8 = sF4 ),
inference(definition_folding,[],[f11,f42,f51]) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f159,plain,
( spl11_2
| spl11_6 ),
inference(avatar_split_clause,[],[f57,f101,f83]) ).
fof(f57,plain,
( sk_c8 = sF10
| sk_c7 = sF5 ),
inference(definition_folding,[],[f33,f53,f43]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f158,plain,
( spl11_8
| spl11_2 ),
inference(avatar_split_clause,[],[f50,f83,f110]) ).
fof(f50,plain,
( sk_c7 = sF5
| sk_c4 = sF8 ),
inference(definition_folding,[],[f30,f43,f49]) ).
fof(f30,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f157,plain,
( spl11_7
| spl11_1 ),
inference(avatar_split_clause,[],[f61,f79,f106]) ).
fof(f61,plain,
( sk_c8 = sF4
| sk_c8 = sF7 ),
inference(definition_folding,[],[f17,f46,f42]) ).
fof(f17,axiom,
( sk_c8 = multiply(sk_c3,sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f156,plain,
( spl11_11
| spl11_7 ),
inference(avatar_split_clause,[],[f56,f106,f129]) ).
fof(f56,plain,
( sk_c8 = sF7
| sk_c6 = sF1 ),
inference(definition_folding,[],[f20,f37,f46]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f155,plain,
( spl11_4
| spl11_8 ),
inference(avatar_split_clause,[],[f67,f110,f92]) ).
fof(f67,plain,
( sk_c4 = sF8
| sk_c6 = sF0 ),
inference(definition_folding,[],[f6,f36,f49]) ).
fof(f6,axiom,
( sk_c4 = inverse(sk_c3)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f154,plain,
( spl11_6
| spl11_10 ),
inference(avatar_split_clause,[],[f75,f121,f101]) ).
fof(f75,plain,
( sk_c7 = sF2
| sk_c8 = sF10 ),
inference(definition_folding,[],[f27,f39,f53]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f152,plain,
( spl11_11
| spl11_4 ),
inference(avatar_split_clause,[],[f38,f92,f129]) ).
fof(f38,plain,
( sk_c6 = sF0
| sk_c6 = sF1 ),
inference(definition_folding,[],[f8,f37,f36]) ).
fof(f8,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f151,plain,
( spl11_6
| spl11_4 ),
inference(avatar_split_clause,[],[f73,f92,f101]) ).
fof(f73,plain,
( sk_c6 = sF0
| sk_c8 = sF10 ),
inference(definition_folding,[],[f9,f53,f36]) ).
fof(f9,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f150,plain,
( spl11_8
| spl11_5 ),
inference(avatar_split_clause,[],[f52,f97,f110]) ).
fof(f52,plain,
( sk_c8 = sF9
| sk_c4 = sF8 ),
inference(definition_folding,[],[f12,f51,f49]) ).
fof(f12,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f149,plain,
( spl11_8
| spl11_10 ),
inference(avatar_split_clause,[],[f68,f121,f110]) ).
fof(f68,plain,
( sk_c7 = sF2
| sk_c4 = sF8 ),
inference(definition_folding,[],[f24,f39,f49]) ).
fof(f24,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f148,plain,
( spl11_9
| spl11_7 ),
inference(avatar_split_clause,[],[f70,f106,f115]) ).
fof(f70,plain,
( sk_c8 = sF7
| sk_c7 = sF3 ),
inference(definition_folding,[],[f16,f40,f46]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f147,plain,
( spl11_12
| spl11_13
| ~ spl11_9
| ~ spl11_4
| spl11_14
| spl11_15 ),
inference(avatar_split_clause,[],[f55,f145,f142,f92,f115,f139,f136]) ).
fof(f55,plain,
! [X3,X7,X4,X5] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != multiply(X5,inverse(X5))
| sk_c6 != sF0
| sk_c7 != sF3
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X4,sk_c6)
| sk_c6 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7)
| sk_c8 != multiply(inverse(X5),sk_c7)
| sk_c7 != inverse(X4) ),
inference(definition_folding,[],[f35,f40,f36]) ).
fof(f35,plain,
! [X3,X7,X4,X5] :
( sk_c7 != multiply(X4,sk_c6)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X7,sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X5,inverse(X5))
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X7)
| sk_c8 != multiply(inverse(X5),sk_c7) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != multiply(X4,sk_c6)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X7,sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X5,X6)
| sk_c8 != multiply(X3,sk_c7)
| inverse(X5) != X6
| sk_c8 != inverse(X7)
| sk_c8 != multiply(X6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f133,plain,
( spl11_10
| spl11_11 ),
inference(avatar_split_clause,[],[f65,f129,f121]) ).
fof(f65,plain,
( sk_c6 = sF1
| sk_c7 = sF2 ),
inference(definition_folding,[],[f26,f39,f37]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f132,plain,
( spl11_5
| spl11_11 ),
inference(avatar_split_clause,[],[f76,f129,f97]) ).
fof(f76,plain,
( sk_c6 = sF1
| sk_c8 = sF9 ),
inference(definition_folding,[],[f14,f51,f37]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f127,plain,
( spl11_7
| spl11_6 ),
inference(avatar_split_clause,[],[f54,f101,f106]) ).
fof(f54,plain,
( sk_c8 = sF10
| sk_c8 = sF7 ),
inference(definition_folding,[],[f21,f46,f53]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f124,plain,
( spl11_9
| spl11_10 ),
inference(avatar_split_clause,[],[f41,f121,f115]) ).
fof(f41,plain,
( sk_c7 = sF2
| sk_c7 = sF3 ),
inference(definition_folding,[],[f22,f40,f39]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f119,plain,
( spl11_1
| spl11_4 ),
inference(avatar_split_clause,[],[f63,f92,f79]) ).
fof(f63,plain,
( sk_c6 = sF0
| sk_c8 = sF4 ),
inference(definition_folding,[],[f5,f42,f36]) ).
fof(f5,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f118,plain,
( spl11_4
| spl11_9 ),
inference(avatar_split_clause,[],[f62,f115,f92]) ).
fof(f62,plain,
( sk_c7 = sF3
| sk_c6 = sF0 ),
inference(definition_folding,[],[f4,f40,f36]) ).
fof(f4,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f113,plain,
( spl11_7
| spl11_8 ),
inference(avatar_split_clause,[],[f74,f110,f106]) ).
fof(f74,plain,
( sk_c4 = sF8
| sk_c8 = sF7 ),
inference(definition_folding,[],[f18,f49,f46]) ).
fof(f18,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c4 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f104,plain,
( spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f66,f101,f97]) ).
fof(f66,plain,
( sk_c8 = sF10
| sk_c8 = sF9 ),
inference(definition_folding,[],[f15,f51,f53]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f86,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f44,f83,f79]) ).
fof(f44,plain,
( sk_c7 = sF5
| sk_c8 = sF4 ),
inference(definition_folding,[],[f29,f43,f42]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c3,sk_c4)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP342-1 : 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
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:10:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (4771)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)
% 0.20/0.52 % (4771)Instruction limit reached!
% 0.20/0.52 % (4771)------------------------------
% 0.20/0.52 % (4771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (4771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (4771)Termination reason: Unknown
% 0.20/0.52 % (4771)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (4771)Memory used [KB]: 5884
% 0.20/0.52 % (4771)Time elapsed: 0.005 s
% 0.20/0.52 % (4771)Instructions burned: 4 (million)
% 0.20/0.52 % (4771)------------------------------
% 0.20/0.52 % (4771)------------------------------
% 0.20/0.53 % (4763)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.54 % (4767)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)
% 0.20/0.54 % (4779)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)
% 0.20/0.54 % (4779)Instruction limit reached!
% 0.20/0.54 % (4779)------------------------------
% 0.20/0.54 % (4779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (4779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (4779)Termination reason: Unknown
% 0.20/0.54 % (4779)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (4779)Memory used [KB]: 1279
% 0.20/0.54 % (4779)Time elapsed: 0.006 s
% 0.20/0.54 % (4779)Instructions burned: 2 (million)
% 0.20/0.54 % (4779)------------------------------
% 0.20/0.54 % (4779)------------------------------
% 0.20/0.55 % (4768)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.56 % (4773)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)
% 0.20/0.57 % (4764)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)
% 0.20/0.57 % (4782)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)
% 0.20/0.57 % (4765)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)
% 0.20/0.57 % (4765)Instruction limit reached!
% 0.20/0.57 % (4765)------------------------------
% 0.20/0.57 % (4765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (4765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (4765)Termination reason: Unknown
% 0.20/0.57 % (4765)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (4765)Memory used [KB]: 5884
% 0.20/0.57 % (4765)Time elapsed: 0.005 s
% 0.20/0.57 % (4765)Instructions burned: 4 (million)
% 0.20/0.57 % (4765)------------------------------
% 0.20/0.57 % (4765)------------------------------
% 0.20/0.57 % (4783)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)
% 0.20/0.57 % (4790)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)
% 0.20/0.58 % (4783)Instruction limit reached!
% 0.20/0.58 % (4783)------------------------------
% 0.20/0.58 % (4783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (4769)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)
% 0.20/0.58 % (4766)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)
% 0.20/0.58 % (4791)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)
% 0.20/0.58 % (4773)Instruction limit reached!
% 0.20/0.58 % (4773)------------------------------
% 0.20/0.58 % (4773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (4783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (4783)Termination reason: Unknown
% 0.20/0.58 % (4783)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (4783)Memory used [KB]: 1407
% 0.20/0.58 % (4783)Time elapsed: 0.162 s
% 0.20/0.58 % (4783)Instructions burned: 7 (million)
% 0.20/0.58 % (4783)------------------------------
% 0.20/0.58 % (4783)------------------------------
% 0.20/0.58 % (4774)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)
% 0.20/0.58 % (4766)Refutation not found, incomplete strategy% (4766)------------------------------
% 0.20/0.58 % (4766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (4773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (4773)Termination reason: Unknown
% 0.20/0.58 % (4773)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (4773)Memory used [KB]: 6012
% 0.20/0.58 % (4773)Time elapsed: 0.165 s
% 0.20/0.58 % (4773)Instructions burned: 6 (million)
% 0.20/0.58 % (4773)------------------------------
% 0.20/0.58 % (4773)------------------------------
% 0.20/0.59 % (4781)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)
% 0.20/0.59 % (4775)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)
% 0.20/0.59 % (4780)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.59 % (4763)First to succeed.
% 0.20/0.59 % (4784)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)
% 0.20/0.59 % (4777)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)
% 0.20/0.59 % (4782)Instruction limit reached!
% 0.20/0.59 % (4782)------------------------------
% 0.20/0.59 % (4782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (4782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (4782)Termination reason: Unknown
% 0.20/0.59 % (4782)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (4782)Memory used [KB]: 6012
% 0.20/0.59 % (4782)Time elapsed: 0.181 s
% 0.20/0.59 % (4782)Instructions burned: 7 (million)
% 0.20/0.59 % (4782)------------------------------
% 0.20/0.59 % (4782)------------------------------
% 0.20/0.59 % (4766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (4766)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.59
% 0.20/0.59 % (4766)Memory used [KB]: 5884
% 0.20/0.59 % (4766)Time elapsed: 0.174 s
% 0.20/0.59 % (4766)Instructions burned: 5 (million)
% 0.20/0.59 % (4766)------------------------------
% 0.20/0.59 % (4766)------------------------------
% 0.20/0.59 % (4778)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)
% 0.20/0.59 % (4775)Instruction limit reached!
% 0.20/0.59 % (4775)------------------------------
% 0.20/0.59 % (4775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (4775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (4775)Termination reason: Unknown
% 0.20/0.59 % (4775)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (4775)Memory used [KB]: 5884
% 0.20/0.59 % (4775)Time elapsed: 0.187 s
% 0.20/0.59 % (4775)Instructions burned: 6 (million)
% 0.20/0.59 % (4775)------------------------------
% 0.20/0.59 % (4775)------------------------------
% 0.20/0.60 % (4785)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)
% 0.20/0.60 % (4792)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)
% 0.20/0.60 % (4788)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)
% 0.20/0.60 % (4778)Instruction limit reached!
% 0.20/0.60 % (4778)------------------------------
% 0.20/0.60 % (4778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (4778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (4778)Termination reason: Unknown
% 0.20/0.60 % (4778)Termination phase: Finite model building preprocessing
% 0.20/0.60
% 0.20/0.60 % (4778)Memory used [KB]: 6012
% 0.20/0.60 % (4778)Time elapsed: 0.005 s
% 0.20/0.60 % (4778)Instructions burned: 7 (million)
% 0.20/0.60 % (4778)------------------------------
% 0.20/0.60 % (4778)------------------------------
% 0.20/0.60 % (4789)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)
% 0.20/0.60 % (4767)Instruction limit reached!
% 0.20/0.60 % (4767)------------------------------
% 0.20/0.60 % (4767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (4767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (4767)Termination reason: Unknown
% 0.20/0.60 % (4767)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (4767)Memory used [KB]: 6396
% 0.20/0.60 % (4767)Time elapsed: 0.167 s
% 0.20/0.60 % (4767)Instructions burned: 34 (million)
% 0.20/0.60 % (4767)------------------------------
% 0.20/0.60 % (4767)------------------------------
% 0.20/0.60 % (4786)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)
% 0.20/0.60 % (4789)Refutation not found, incomplete strategy% (4789)------------------------------
% 0.20/0.60 % (4789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (4789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (4789)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.60
% 0.20/0.60 % (4789)Memory used [KB]: 5884
% 0.20/0.60 % (4789)Time elapsed: 0.185 s
% 0.20/0.60 % (4789)Instructions burned: 3 (million)
% 0.20/0.60 % (4789)------------------------------
% 0.20/0.60 % (4789)------------------------------
% 0.20/0.60 % (4786)Refutation not found, incomplete strategy% (4786)------------------------------
% 0.20/0.60 % (4786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (4776)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)
% 0.20/0.60 % (4770)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.79/0.61 % (4786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.61 % (4786)Termination reason: Refutation not found, incomplete strategy
% 1.79/0.61
% 1.79/0.61 % (4786)Memory used [KB]: 5884
% 1.79/0.61 % (4786)Time elapsed: 0.147 s
% 1.79/0.61 % (4786)Instructions burned: 4 (million)
% 1.79/0.61 % (4786)------------------------------
% 1.79/0.61 % (4786)------------------------------
% 1.79/0.61 % (4787)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.79/0.61 % (4763)Refutation found. Thanks to Tanya!
% 1.79/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.79/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.79/0.61 % (4763)------------------------------
% 1.79/0.61 % (4763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.61 % (4763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.61 % (4763)Termination reason: Refutation
% 1.79/0.61
% 1.79/0.61 % (4763)Memory used [KB]: 6524
% 1.79/0.61 % (4763)Time elapsed: 0.167 s
% 1.79/0.61 % (4763)Instructions burned: 37 (million)
% 1.79/0.61 % (4763)------------------------------
% 1.79/0.61 % (4763)------------------------------
% 1.79/0.61 % (4762)Success in time 0.245 s
%------------------------------------------------------------------------------