TSTP Solution File: GRP318-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP318-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n019.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 May 1 02:28:31 EDT 2024
% Result : Unsatisfiable 1.11s 0.92s
% Output : Refutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 118
% Syntax : Number of formulae : 681 ( 55 unt; 0 def)
% Number of atoms : 2726 ( 635 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 3871 (1826 ~;2010 |; 0 &)
% ( 35 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 48 ( 46 usr; 36 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 29 con; 0-2 aty)
% Number of variables : 192 ( 192 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7573,plain,
$false,
inference(avatar_sat_refutation,[],[f165,f170,f175,f180,f190,f195,f205,f210,f215,f216,f218,f220,f221,f223,f224,f229,f230,f232,f234,f235,f237,f238,f243,f244,f245,f246,f247,f248,f249,f250,f251,f252,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f300,f473,f553,f583,f612,f649,f727,f966,f1495,f1975,f2921,f3093,f4295,f4849,f5357,f5648,f6139,f6486,f6508,f6510,f6558,f6604,f6969,f7028,f7079,f7080,f7121,f7154,f7234,f7333,f7375,f7381,f7387,f7393,f7397,f7462,f7572]) ).
fof(f7572,plain,
( ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73
| ~ spl27_124 ),
inference(avatar_contradiction_clause,[],[f7571]) ).
fof(f7571,plain,
( $false
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73
| ~ spl27_124 ),
inference(trivial_inequality_removal,[],[f7570]) ).
fof(f7570,plain,
( sk_c12 != sk_c12
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73
| ~ spl27_124 ),
inference(duplicate_literal_removal,[],[f7566]) ).
fof(f7566,plain,
( sk_c12 != sk_c12
| sk_c12 != sk_c12
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73
| ~ spl27_124 ),
inference(superposition,[],[f7239,f937]) ).
fof(f937,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl27_73 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f936,plain,
( spl27_73
<=> sk_c12 = inverse(sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_73])]) ).
fof(f7239,plain,
( ! [X0] :
( inverse(X0) != sk_c12
| inverse(X0) != X0 )
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73
| ~ spl27_124 ),
inference(forward_demodulation,[],[f7238,f6985]) ).
fof(f6985,plain,
( ! [X0] : multiply(X0,sk_c12) = X0
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57 ),
inference(backward_demodulation,[],[f6945,f826]) ).
fof(f826,plain,
( sk_c12 = sk_c3
| ~ spl27_57 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f825,plain,
( spl27_57
<=> sk_c12 = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_57])]) ).
fof(f6945,plain,
( ! [X0] : multiply(X0,sk_c3) = X0
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55 ),
inference(backward_demodulation,[],[f4069,f6933]) ).
fof(f6933,plain,
( identity = sk_c3
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55 ),
inference(forward_demodulation,[],[f6931,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',left_inverse) ).
fof(f6931,plain,
( sk_c3 = multiply(inverse(sk_c3),sk_c3)
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55 ),
inference(superposition,[],[f333,f5291]) ).
fof(f5291,plain,
( sk_c3 = multiply(sk_c3,sk_c3)
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55 ),
inference(forward_demodulation,[],[f759,f5155]) ).
fof(f5155,plain,
( multiply(sk_c2,sk_c12) = multiply(sk_c3,sk_c3)
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55 ),
inference(forward_demodulation,[],[f1937,f813]) ).
fof(f813,plain,
( sk_c11 = sk_c12
| ~ spl27_55 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f812,plain,
( spl27_55
<=> sk_c11 = sk_c12 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_55])]) ).
fof(f1937,plain,
( multiply(sk_c3,sk_c3) = multiply(sk_c2,sk_c11)
| ~ spl27_14
| ~ spl27_15 ),
inference(superposition,[],[f758,f761]) ).
fof(f761,plain,
( sk_c11 = multiply(sk_c12,sk_c3)
| ~ spl27_14 ),
inference(backward_demodulation,[],[f123,f242]) ).
fof(f242,plain,
( sk_c11 = sF24
| ~ spl27_14 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl27_14
<=> sk_c11 = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_14])]) ).
fof(f123,plain,
multiply(sk_c12,sk_c3) = sF24,
introduced(function_definition,[new_symbols(definition,[sF24])]) ).
fof(f758,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c2,multiply(sk_c12,X0))
| ~ spl27_15 ),
inference(backward_demodulation,[],[f330,f256]) ).
fof(f256,plain,
( sk_c3 = sF25
| ~ spl27_15 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f254,plain,
( spl27_15
<=> sk_c3 = sF25 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_15])]) ).
fof(f330,plain,
! [X0] : multiply(sk_c2,multiply(sk_c12,X0)) = multiply(sF25,X0),
inference(superposition,[],[f3,f134]) ).
fof(f134,plain,
multiply(sk_c2,sk_c12) = sF25,
introduced(function_definition,[new_symbols(definition,[sF25])]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',associativity) ).
fof(f759,plain,
( sk_c3 = multiply(sk_c2,sk_c12)
| ~ spl27_15 ),
inference(backward_demodulation,[],[f134,f256]) ).
fof(f333,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f320,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',left_identity) ).
fof(f320,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f4069,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f4023,f3767]) ).
fof(f3767,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f333,f333]) ).
fof(f4023,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f333,f2]) ).
fof(f7238,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c12)
| inverse(X0) != sk_c12 )
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73
| ~ spl27_124 ),
inference(forward_demodulation,[],[f7237,f937]) ).
fof(f7237,plain,
( ! [X0] :
( inverse(X0) != sk_c12
| inverse(X0) != multiply(X0,inverse(sk_c12)) )
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73
| ~ spl27_124 ),
inference(forward_demodulation,[],[f7236,f6985]) ).
fof(f7236,plain,
( ! [X0] :
( sk_c12 != inverse(multiply(X0,sk_c12))
| inverse(X0) != multiply(X0,inverse(sk_c12)) )
| ~ spl27_73
| ~ spl27_124 ),
inference(forward_demodulation,[],[f3090,f937]) ).
fof(f3090,plain,
( ! [X0] :
( inverse(sk_c12) != inverse(multiply(X0,inverse(sk_c12)))
| inverse(X0) != multiply(X0,inverse(sk_c12)) )
| ~ spl27_124 ),
inference(avatar_component_clause,[],[f3089]) ).
fof(f3089,plain,
( spl27_124
<=> ! [X0] :
( inverse(X0) != multiply(X0,inverse(sk_c12))
| inverse(sk_c12) != inverse(multiply(X0,inverse(sk_c12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_124])]) ).
fof(f7462,plain,
( ~ spl27_136
| spl27_8
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57 ),
inference(avatar_split_clause,[],[f7460,f825,f812,f254,f240,f192,f3357]) ).
fof(f3357,plain,
( spl27_136
<=> sk_c12 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_136])]) ).
fof(f192,plain,
( spl27_8
<=> sk_c12 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_8])]) ).
fof(f7460,plain,
( sk_c12 != sk_c9
| spl27_8
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57 ),
inference(backward_demodulation,[],[f193,f7426]) ).
fof(f7426,plain,
( sk_c9 = sF18
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57 ),
inference(forward_demodulation,[],[f3908,f6985]) ).
fof(f3908,plain,
( sF18 = multiply(sk_c9,sk_c12)
| ~ spl27_55 ),
inference(forward_demodulation,[],[f3906,f3767]) ).
fof(f3906,plain,
( sF18 = multiply(inverse(inverse(sk_c9)),sk_c12)
| ~ spl27_55 ),
inference(superposition,[],[f333,f3772]) ).
fof(f3772,plain,
( sk_c12 = multiply(inverse(sk_c9),sF18)
| ~ spl27_55 ),
inference(superposition,[],[f333,f2847]) ).
fof(f2847,plain,
( sF18 = multiply(sk_c9,sk_c12)
| ~ spl27_55 ),
inference(forward_demodulation,[],[f93,f813]) ).
fof(f93,plain,
multiply(sk_c9,sk_c11) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f193,plain,
( sk_c12 != sF18
| spl27_8 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f7397,plain,
( ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_17
| ~ spl27_55 ),
inference(avatar_contradiction_clause,[],[f7396]) ).
fof(f7396,plain,
( $false
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_17
| ~ spl27_55 ),
inference(subsumption_resolution,[],[f7395,f7394]) ).
fof(f7394,plain,
( ~ sP10(sk_c12)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55 ),
inference(forward_demodulation,[],[f771,f6726]) ).
fof(f6726,plain,
( sk_c12 = sk_c10
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55 ),
inference(forward_demodulation,[],[f6364,f1995]) ).
fof(f1995,plain,
( sk_c10 = multiply(sk_c12,sk_c12)
| ~ spl27_1
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f772,f1976]) ).
fof(f1976,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c11,X0)
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(forward_demodulation,[],[f1967,f760]) ).
fof(f760,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c3,X0)) = multiply(sk_c11,X0)
| ~ spl27_14 ),
inference(backward_demodulation,[],[f322,f242]) ).
fof(f322,plain,
! [X0] : multiply(sk_c12,multiply(sk_c3,X0)) = multiply(sF24,X0),
inference(superposition,[],[f3,f123]) ).
fof(f1967,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c3,X0))
| ~ spl27_15
| ~ spl27_16 ),
inference(superposition,[],[f982,f758]) ).
fof(f982,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c2,X0)) = X0
| ~ spl27_16 ),
inference(forward_demodulation,[],[f981,f1]) ).
fof(f981,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c2,X0))
| ~ spl27_16 ),
inference(superposition,[],[f3,f754]) ).
fof(f754,plain,
( identity = multiply(sk_c12,sk_c2)
| ~ spl27_16 ),
inference(backward_demodulation,[],[f317,f270]) ).
fof(f270,plain,
( sk_c12 = sF26
| ~ spl27_16 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl27_16
<=> sk_c12 = sF26 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_16])]) ).
fof(f317,plain,
identity = multiply(sF26,sk_c2),
inference(superposition,[],[f2,f145]) ).
fof(f145,plain,
inverse(sk_c2) = sF26,
introduced(function_definition,[new_symbols(definition,[sF26])]) ).
fof(f772,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| ~ spl27_1 ),
inference(backward_demodulation,[],[f81,f160]) ).
fof(f160,plain,
( sk_c10 = sF12
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl27_1
<=> sk_c10 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1])]) ).
fof(f81,plain,
multiply(sk_c11,sk_c12) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f6364,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl27_12
| ~ spl27_13
| ~ spl27_55 ),
inference(forward_demodulation,[],[f6362,f5114]) ).
fof(f5114,plain,
( sk_c12 = inverse(sk_c1)
| ~ spl27_13
| ~ spl27_55 ),
inference(forward_demodulation,[],[f765,f813]) ).
fof(f765,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl27_13 ),
inference(backward_demodulation,[],[f112,f228]) ).
fof(f228,plain,
( sk_c11 = sF23
| ~ spl27_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl27_13
<=> sk_c11 = sF23 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_13])]) ).
fof(f112,plain,
inverse(sk_c1) = sF23,
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f6362,plain,
( sk_c12 = multiply(inverse(sk_c1),sk_c12)
| ~ spl27_12
| ~ spl27_55 ),
inference(superposition,[],[f333,f5130]) ).
fof(f5130,plain,
( sk_c12 = multiply(sk_c1,sk_c12)
| ~ spl27_12
| ~ spl27_55 ),
inference(forward_demodulation,[],[f768,f813]) ).
fof(f768,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| ~ spl27_12 ),
inference(backward_demodulation,[],[f101,f214]) ).
fof(f214,plain,
( sk_c12 = sF22
| ~ spl27_12 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f212,plain,
( spl27_12
<=> sk_c12 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_12])]) ).
fof(f101,plain,
multiply(sk_c1,sk_c11) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f771,plain,
( ~ sP10(sk_c10)
| ~ spl27_1 ),
inference(backward_demodulation,[],[f156,f160]) ).
fof(f156,plain,
~ sP10(sF12),
inference(definition_folding,[],[f75,f81]) ).
fof(f75,plain,
~ sP10(multiply(sk_c11,sk_c12)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f7395,plain,
( sP10(sk_c12)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_17
| ~ spl27_55 ),
inference(forward_demodulation,[],[f284,f6726]) ).
fof(f284,plain,
( sP10(sk_c10)
| ~ spl27_17 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f282,plain,
( spl27_17
<=> sP10(sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_17])]) ).
fof(f7393,plain,
( ~ spl27_14
| ~ spl27_15
| ~ spl27_18
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73 ),
inference(avatar_contradiction_clause,[],[f7392]) ).
fof(f7392,plain,
( $false
| ~ spl27_14
| ~ spl27_15
| ~ spl27_18
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73 ),
inference(subsumption_resolution,[],[f7391,f2395]) ).
fof(f2395,plain,
( ~ sP8(sk_c12)
| ~ spl27_55 ),
inference(backward_demodulation,[],[f73,f813]) ).
fof(f73,plain,
~ sP8(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f7391,plain,
( sP8(sk_c12)
| ~ spl27_14
| ~ spl27_15
| ~ spl27_18
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73 ),
inference(forward_demodulation,[],[f7390,f937]) ).
fof(f7390,plain,
( sP8(inverse(sk_c12))
| ~ spl27_14
| ~ spl27_15
| ~ spl27_18
| ~ spl27_55
| ~ spl27_57 ),
inference(resolution,[],[f7389,f74]) ).
fof(f74,plain,
~ sP9(sk_c12),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f7389,plain,
( ! [X3] :
( sP9(X3)
| sP8(inverse(X3)) )
| ~ spl27_14
| ~ spl27_15
| ~ spl27_18
| ~ spl27_55
| ~ spl27_57 ),
inference(forward_demodulation,[],[f7388,f6985]) ).
fof(f7388,plain,
( ! [X3] :
( sP9(multiply(X3,sk_c12))
| sP8(inverse(X3)) )
| ~ spl27_18
| ~ spl27_55 ),
inference(forward_demodulation,[],[f287,f813]) ).
fof(f287,plain,
( ! [X3] :
( sP8(inverse(X3))
| sP9(multiply(X3,sk_c11)) )
| ~ spl27_18 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f286,plain,
( spl27_18
<=> ! [X3] :
( sP8(inverse(X3))
| sP9(multiply(X3,sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_18])]) ).
fof(f7387,plain,
( ~ spl27_14
| ~ spl27_15
| ~ spl27_19
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73 ),
inference(avatar_contradiction_clause,[],[f7386]) ).
fof(f7386,plain,
( $false
| ~ spl27_14
| ~ spl27_15
| ~ spl27_19
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73 ),
inference(subsumption_resolution,[],[f7385,f71]) ).
fof(f71,plain,
~ sP6(sk_c12),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f7385,plain,
( sP6(sk_c12)
| ~ spl27_14
| ~ spl27_15
| ~ spl27_19
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73 ),
inference(forward_demodulation,[],[f7384,f937]) ).
fof(f7384,plain,
( sP6(inverse(sk_c12))
| ~ spl27_14
| ~ spl27_15
| ~ spl27_19
| ~ spl27_55
| ~ spl27_57 ),
inference(resolution,[],[f7383,f2394]) ).
fof(f2394,plain,
( ~ sP7(sk_c12)
| ~ spl27_55 ),
inference(backward_demodulation,[],[f72,f813]) ).
fof(f72,plain,
~ sP7(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f7383,plain,
( ! [X5] :
( sP7(X5)
| sP6(inverse(X5)) )
| ~ spl27_14
| ~ spl27_15
| ~ spl27_19
| ~ spl27_55
| ~ spl27_57 ),
inference(forward_demodulation,[],[f7382,f6985]) ).
fof(f7382,plain,
( ! [X5] :
( sP7(multiply(X5,sk_c12))
| sP6(inverse(X5)) )
| ~ spl27_14
| ~ spl27_15
| ~ spl27_19
| ~ spl27_55
| ~ spl27_57 ),
inference(forward_demodulation,[],[f290,f6976]) ).
fof(f6976,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57 ),
inference(backward_demodulation,[],[f6934,f826]) ).
fof(f6934,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55 ),
inference(backward_demodulation,[],[f1,f6933]) ).
fof(f290,plain,
( ! [X5] :
( sP6(inverse(X5))
| sP7(multiply(sk_c12,multiply(X5,sk_c12))) )
| ~ spl27_19 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl27_19
<=> ! [X5] :
( sP6(inverse(X5))
| sP7(multiply(sk_c12,multiply(X5,sk_c12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_19])]) ).
fof(f7381,plain,
( ~ spl27_14
| ~ spl27_15
| ~ spl27_20
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73 ),
inference(avatar_contradiction_clause,[],[f7380]) ).
fof(f7380,plain,
( $false
| ~ spl27_14
| ~ spl27_15
| ~ spl27_20
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73 ),
inference(subsumption_resolution,[],[f7379,f69]) ).
fof(f69,plain,
~ sP4(sk_c12),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f7379,plain,
( sP4(sk_c12)
| ~ spl27_14
| ~ spl27_15
| ~ spl27_20
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73 ),
inference(forward_demodulation,[],[f7378,f937]) ).
fof(f7378,plain,
( sP4(inverse(sk_c12))
| ~ spl27_14
| ~ spl27_15
| ~ spl27_20
| ~ spl27_55
| ~ spl27_57 ),
inference(resolution,[],[f7377,f2393]) ).
fof(f2393,plain,
( ~ sP5(sk_c12)
| ~ spl27_55 ),
inference(backward_demodulation,[],[f70,f813]) ).
fof(f70,plain,
~ sP5(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f7377,plain,
( ! [X6] :
( sP5(X6)
| sP4(inverse(X6)) )
| ~ spl27_14
| ~ spl27_15
| ~ spl27_20
| ~ spl27_55
| ~ spl27_57 ),
inference(forward_demodulation,[],[f293,f6985]) ).
fof(f293,plain,
( ! [X6] :
( sP4(inverse(X6))
| sP5(multiply(X6,sk_c12)) )
| ~ spl27_20 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f292,plain,
( spl27_20
<=> ! [X6] :
( sP4(inverse(X6))
| sP5(multiply(X6,sk_c12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_20])]) ).
fof(f7375,plain,
( ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_21
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73 ),
inference(avatar_contradiction_clause,[],[f7374]) ).
fof(f7374,plain,
( $false
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_21
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73 ),
inference(subsumption_resolution,[],[f7373,f6727]) ).
fof(f6727,plain,
( ~ sP3(sk_c12)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55 ),
inference(backward_demodulation,[],[f68,f6726]) ).
fof(f68,plain,
~ sP3(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f7373,plain,
( sP3(sk_c12)
| ~ spl27_14
| ~ spl27_15
| ~ spl27_21
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73 ),
inference(subsumption_resolution,[],[f7371,f2392]) ).
fof(f2392,plain,
( ~ sP2(sk_c12)
| ~ spl27_55 ),
inference(backward_demodulation,[],[f67,f813]) ).
fof(f67,plain,
~ sP2(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f7371,plain,
( sP2(sk_c12)
| sP3(sk_c12)
| ~ spl27_14
| ~ spl27_15
| ~ spl27_21
| ~ spl27_55
| ~ spl27_57
| ~ spl27_73 ),
inference(superposition,[],[f7352,f937]) ).
fof(f7352,plain,
( ! [X7] :
( sP2(inverse(X7))
| sP3(X7) )
| ~ spl27_14
| ~ spl27_15
| ~ spl27_21
| ~ spl27_55
| ~ spl27_57 ),
inference(forward_demodulation,[],[f7351,f6985]) ).
fof(f7351,plain,
( ! [X7] :
( sP3(multiply(X7,sk_c12))
| sP2(inverse(X7)) )
| ~ spl27_21
| ~ spl27_55 ),
inference(forward_demodulation,[],[f296,f813]) ).
fof(f296,plain,
( ! [X7] :
( sP2(inverse(X7))
| sP3(multiply(X7,sk_c11)) )
| ~ spl27_21 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl27_21
<=> ! [X7] :
( sP2(inverse(X7))
| sP3(multiply(X7,sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_21])]) ).
fof(f7333,plain,
( spl27_136
| ~ spl27_8
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57 ),
inference(avatar_split_clause,[],[f7330,f825,f812,f254,f240,f192,f3357]) ).
fof(f7330,plain,
( sk_c12 = sk_c9
| ~ spl27_8
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57 ),
inference(forward_demodulation,[],[f7328,f6977]) ).
fof(f6977,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c12
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57 ),
inference(backward_demodulation,[],[f6935,f826]) ).
fof(f6935,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c3
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55 ),
inference(backward_demodulation,[],[f2,f6933]) ).
fof(f7328,plain,
( sk_c9 = multiply(inverse(sF21),sF21)
| ~ spl27_8
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57 ),
inference(superposition,[],[f333,f7024]) ).
fof(f7024,plain,
( sF21 = multiply(sF21,sk_c9)
| ~ spl27_8
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57 ),
inference(backward_demodulation,[],[f99,f7004]) ).
fof(f7004,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sF21,X0)
| ~ spl27_8
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57 ),
inference(backward_demodulation,[],[f4005,f6993]) ).
fof(f6993,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl27_8
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57 ),
inference(backward_demodulation,[],[f5111,f6976]) ).
fof(f5111,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c9,multiply(sk_c12,X0))
| ~ spl27_8
| ~ spl27_55 ),
inference(forward_demodulation,[],[f3246,f194]) ).
fof(f194,plain,
( sk_c12 = sF18
| ~ spl27_8 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f3246,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c12,X0)) = multiply(sF18,X0)
| ~ spl27_55 ),
inference(superposition,[],[f3,f2847]) ).
fof(f4005,plain,
! [X0] : multiply(sk_c8,multiply(sk_c9,X0)) = multiply(sF21,X0),
inference(superposition,[],[f3,f99]) ).
fof(f99,plain,
multiply(sk_c8,sk_c9) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f7234,plain,
( ~ spl27_136
| ~ spl27_7
| ~ spl27_73
| spl27_149 ),
inference(avatar_split_clause,[],[f7233,f4076,f936,f187,f3357]) ).
fof(f187,plain,
( spl27_7
<=> sk_c9 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_7])]) ).
fof(f4076,plain,
( spl27_149
<=> sF17 = inverse(sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_149])]) ).
fof(f7233,plain,
( sk_c12 != sk_c9
| ~ spl27_7
| ~ spl27_73
| spl27_149 ),
inference(forward_demodulation,[],[f7232,f189]) ).
fof(f189,plain,
( sk_c9 = sF17
| ~ spl27_7 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f7232,plain,
( sk_c12 != sF17
| ~ spl27_73
| spl27_149 ),
inference(forward_demodulation,[],[f4078,f937]) ).
fof(f4078,plain,
( sF17 != inverse(sk_c12)
| spl27_149 ),
inference(avatar_component_clause,[],[f4076]) ).
fof(f7154,plain,
( ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_76 ),
inference(avatar_contradiction_clause,[],[f7153]) ).
fof(f7153,plain,
( $false
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_76 ),
inference(subsumption_resolution,[],[f7152,f65]) ).
fof(f65,plain,
~ sP0(sk_c12),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f7152,plain,
( sP0(sk_c12)
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_76 ),
inference(forward_demodulation,[],[f965,f6975]) ).
fof(f6975,plain,
( identity = sk_c12
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57 ),
inference(backward_demodulation,[],[f6933,f826]) ).
fof(f965,plain,
( sP0(identity)
| ~ spl27_76 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f963,plain,
( spl27_76
<=> sP0(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_76])]) ).
fof(f7121,plain,
( spl27_6
| ~ spl27_8
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_136
| ~ spl27_149 ),
inference(avatar_split_clause,[],[f7117,f4076,f3357,f825,f812,f254,f240,f192,f182]) ).
fof(f182,plain,
( spl27_6
<=> sk_c12 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_6])]) ).
fof(f7117,plain,
( sk_c12 = sF16
| ~ spl27_8
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_136
| ~ spl27_149 ),
inference(backward_demodulation,[],[f7101,f3358]) ).
fof(f3358,plain,
( sk_c12 = sk_c9
| ~ spl27_136 ),
inference(avatar_component_clause,[],[f3357]) ).
fof(f7101,plain,
( sk_c9 = sF16
| ~ spl27_8
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_149 ),
inference(backward_demodulation,[],[f7072,f7100]) ).
fof(f7100,plain,
( ! [X0] : multiply(sF16,X0) = X0
| ~ spl27_8
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_149 ),
inference(forward_demodulation,[],[f7096,f6976]) ).
fof(f7096,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sF16,X0)
| ~ spl27_8
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_149 ),
inference(backward_demodulation,[],[f7070,f7093]) ).
fof(f7093,plain,
( sk_c12 = sk_c6
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_149 ),
inference(backward_demodulation,[],[f6979,f7089]) ).
fof(f7089,plain,
( ! [X0] : multiply(sF17,X0) = X0
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_149 ),
inference(backward_demodulation,[],[f6984,f4077]) ).
fof(f4077,plain,
( sF17 = inverse(sk_c12)
| ~ spl27_149 ),
inference(avatar_component_clause,[],[f4076]) ).
fof(f6984,plain,
( ! [X0] : multiply(inverse(sk_c12),X0) = X0
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57 ),
inference(backward_demodulation,[],[f6944,f826]) ).
fof(f6944,plain,
( ! [X0] : multiply(inverse(sk_c3),X0) = X0
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55 ),
inference(backward_demodulation,[],[f3764,f6933]) ).
fof(f3764,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f333,f1]) ).
fof(f6979,plain,
( sk_c12 = multiply(sF17,sk_c6)
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57 ),
inference(backward_demodulation,[],[f6939,f826]) ).
fof(f6939,plain,
( sk_c3 = multiply(sF17,sk_c6)
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55 ),
inference(backward_demodulation,[],[f942,f6933]) ).
fof(f942,plain,
identity = multiply(sF17,sk_c6),
inference(superposition,[],[f2,f91]) ).
fof(f91,plain,
inverse(sk_c6) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f7070,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sF16,X0)
| ~ spl27_8
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57 ),
inference(forward_demodulation,[],[f3894,f6993]) ).
fof(f3894,plain,
! [X0] : multiply(sk_c6,multiply(sk_c9,X0)) = multiply(sF16,X0),
inference(superposition,[],[f3,f89]) ).
fof(f89,plain,
multiply(sk_c6,sk_c9) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f7072,plain,
( sF16 = multiply(sF16,sk_c9)
| ~ spl27_8
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57 ),
inference(backward_demodulation,[],[f89,f7070]) ).
fof(f7080,plain,
( spl27_73
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55
| ~ spl27_57 ),
inference(avatar_split_clause,[],[f7033,f825,f812,f268,f254,f240,f936]) ).
fof(f7033,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55
| ~ spl27_57 ),
inference(backward_demodulation,[],[f756,f7031]) ).
fof(f7031,plain,
( sk_c12 = sk_c2
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55
| ~ spl27_57 ),
inference(forward_demodulation,[],[f6978,f6976]) ).
fof(f6978,plain,
( sk_c12 = multiply(sk_c12,sk_c2)
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55
| ~ spl27_57 ),
inference(backward_demodulation,[],[f6937,f826]) ).
fof(f6937,plain,
( sk_c3 = multiply(sk_c12,sk_c2)
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55 ),
inference(backward_demodulation,[],[f754,f6933]) ).
fof(f756,plain,
( sk_c12 = inverse(sk_c2)
| ~ spl27_16 ),
inference(backward_demodulation,[],[f145,f270]) ).
fof(f7079,plain,
( spl27_73
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55
| ~ spl27_57 ),
inference(avatar_split_clause,[],[f7045,f825,f812,f268,f254,f240,f226,f936]) ).
fof(f7045,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55
| ~ spl27_57 ),
inference(backward_demodulation,[],[f5114,f7043]) ).
fof(f7043,plain,
( sk_c12 = sk_c1
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55
| ~ spl27_57 ),
inference(forward_demodulation,[],[f6983,f6976]) ).
fof(f6983,plain,
( sk_c12 = multiply(sk_c12,sk_c1)
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55
| ~ spl27_57 ),
inference(backward_demodulation,[],[f6943,f826]) ).
fof(f6943,plain,
( sk_c3 = multiply(sk_c12,sk_c1)
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55 ),
inference(backward_demodulation,[],[f2001,f6933]) ).
fof(f2001,plain,
( identity = multiply(sk_c12,sk_c1)
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f763,f1976]) ).
fof(f763,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl27_13 ),
inference(backward_demodulation,[],[f316,f228]) ).
fof(f316,plain,
identity = multiply(sF23,sk_c1),
inference(superposition,[],[f2,f112]) ).
fof(f7028,plain,
( ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_75
| spl27_123 ),
inference(avatar_contradiction_clause,[],[f7027]) ).
fof(f7027,plain,
( $false
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_75
| spl27_123 ),
inference(subsumption_resolution,[],[f7000,f3086]) ).
fof(f3086,plain,
( ~ sP1(inverse(sk_c12))
| spl27_123 ),
inference(avatar_component_clause,[],[f3085]) ).
fof(f3085,plain,
( spl27_123
<=> sP1(inverse(sk_c12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_123])]) ).
fof(f7000,plain,
( sP1(inverse(sk_c12))
| ~ spl27_14
| ~ spl27_15
| ~ spl27_55
| ~ spl27_57
| ~ spl27_75 ),
inference(backward_demodulation,[],[f5271,f6976]) ).
fof(f5271,plain,
( sP1(multiply(sk_c12,inverse(sk_c12)))
| ~ spl27_55
| ~ spl27_75 ),
inference(forward_demodulation,[],[f961,f813]) ).
fof(f961,plain,
( sP1(multiply(sk_c11,inverse(sk_c11)))
| ~ spl27_75 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f959,plain,
( spl27_75
<=> sP1(multiply(sk_c11,inverse(sk_c11))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_75])]) ).
fof(f6969,plain,
( spl27_57
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55 ),
inference(avatar_split_clause,[],[f6964,f812,f268,f254,f240,f226,f212,f158,f825]) ).
fof(f6964,plain,
( sk_c12 = sk_c3
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55 ),
inference(forward_demodulation,[],[f6962,f6935]) ).
fof(f6962,plain,
( sk_c12 = multiply(inverse(sk_c12),sk_c12)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55 ),
inference(superposition,[],[f333,f6733]) ).
fof(f6733,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55 ),
inference(backward_demodulation,[],[f1995,f6726]) ).
fof(f6604,plain,
( spl27_2
| ~ spl27_3
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55
| ~ spl27_57 ),
inference(avatar_contradiction_clause,[],[f6603]) ).
fof(f6603,plain,
( $false
| spl27_2
| ~ spl27_3
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55
| ~ spl27_57 ),
inference(subsumption_resolution,[],[f6602,f5188]) ).
fof(f5188,plain,
( sk_c12 != sF11
| spl27_2
| ~ spl27_55 ),
inference(forward_demodulation,[],[f163,f813]) ).
fof(f163,plain,
( sk_c11 != sF11
| spl27_2 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl27_2
<=> sk_c11 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_2])]) ).
fof(f6602,plain,
( sk_c12 = sF11
| ~ spl27_3
| ~ spl27_15
| ~ spl27_16
| ~ spl27_57 ),
inference(backward_demodulation,[],[f80,f6601]) ).
fof(f6601,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl27_3
| ~ spl27_15
| ~ spl27_16
| ~ spl27_57 ),
inference(forward_demodulation,[],[f6600,f1]) ).
fof(f6600,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,X0)
| ~ spl27_3
| ~ spl27_15
| ~ spl27_16
| ~ spl27_57 ),
inference(forward_demodulation,[],[f6586,f6590]) ).
fof(f6590,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl27_3
| ~ spl27_15
| ~ spl27_16
| ~ spl27_57 ),
inference(forward_demodulation,[],[f6585,f1]) ).
fof(f6585,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(identity,X0))
| ~ spl27_3
| ~ spl27_15
| ~ spl27_16
| ~ spl27_57 ),
inference(backward_demodulation,[],[f6581,f6583]) ).
fof(f6583,plain,
( identity = sk_c2
| ~ spl27_3
| ~ spl27_15
| ~ spl27_16
| ~ spl27_57 ),
inference(forward_demodulation,[],[f754,f6575]) ).
fof(f6575,plain,
( sk_c2 = multiply(sk_c12,sk_c2)
| ~ spl27_3
| ~ spl27_15
| ~ spl27_16
| ~ spl27_57 ),
inference(forward_demodulation,[],[f5824,f826]) ).
fof(f5824,plain,
( sk_c2 = multiply(sk_c3,sk_c2)
| ~ spl27_3
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f1945,f5823]) ).
fof(f5823,plain,
( sk_c2 = multiply(sk_c3,sk_c4)
| ~ spl27_3
| ~ spl27_15 ),
inference(forward_demodulation,[],[f1936,f4069]) ).
fof(f1936,plain,
( multiply(sk_c3,sk_c4) = multiply(sk_c2,identity)
| ~ spl27_3
| ~ spl27_15 ),
inference(superposition,[],[f758,f311]) ).
fof(f311,plain,
( identity = multiply(sk_c12,sk_c4)
| ~ spl27_3 ),
inference(superposition,[],[f2,f309]) ).
fof(f309,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl27_3 ),
inference(backward_demodulation,[],[f83,f169]) ).
fof(f169,plain,
( sk_c12 = sF13
| ~ spl27_3 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl27_3
<=> sk_c12 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_3])]) ).
fof(f83,plain,
inverse(sk_c4) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f1945,plain,
( multiply(sk_c3,sk_c4) = multiply(sk_c3,sk_c2)
| ~ spl27_3
| ~ spl27_15
| ~ spl27_16 ),
inference(forward_demodulation,[],[f1938,f1936]) ).
fof(f1938,plain,
( multiply(sk_c2,identity) = multiply(sk_c3,sk_c2)
| ~ spl27_15
| ~ spl27_16 ),
inference(superposition,[],[f758,f754]) ).
fof(f6581,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c12,multiply(sk_c2,X0))
| ~ spl27_15
| ~ spl27_16
| ~ spl27_57 ),
inference(forward_demodulation,[],[f1968,f826]) ).
fof(f1968,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c3,multiply(sk_c2,X0))
| ~ spl27_15
| ~ spl27_16 ),
inference(superposition,[],[f758,f982]) ).
fof(f6586,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c4,X0))
| ~ spl27_3
| ~ spl27_15
| ~ spl27_16
| ~ spl27_57 ),
inference(backward_demodulation,[],[f6580,f6583]) ).
fof(f6580,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c4,X0)) = multiply(sk_c2,X0)
| ~ spl27_3
| ~ spl27_15
| ~ spl27_57 ),
inference(forward_demodulation,[],[f1933,f826]) ).
fof(f1933,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c3,multiply(sk_c4,X0))
| ~ spl27_3
| ~ spl27_15 ),
inference(superposition,[],[f758,f334]) ).
fof(f334,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c4,X0)) = X0
| ~ spl27_3 ),
inference(forward_demodulation,[],[f323,f1]) ).
fof(f323,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c4,X0))
| ~ spl27_3 ),
inference(superposition,[],[f3,f311]) ).
fof(f80,plain,
multiply(sk_c4,sk_c12) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f6558,plain,
( ~ spl27_8
| ~ spl27_10
| ~ spl27_55
| ~ spl27_70
| spl27_73
| ~ spl27_136 ),
inference(avatar_contradiction_clause,[],[f6557]) ).
fof(f6557,plain,
( $false
| ~ spl27_8
| ~ spl27_10
| ~ spl27_55
| ~ spl27_70
| spl27_73
| ~ spl27_136 ),
inference(subsumption_resolution,[],[f6556,f6203]) ).
fof(f6203,plain,
( sk_c12 != sk_c7
| ~ spl27_10
| spl27_73
| ~ spl27_136 ),
inference(backward_demodulation,[],[f938,f6111]) ).
fof(f6111,plain,
( sk_c7 = inverse(sk_c12)
| ~ spl27_10
| ~ spl27_136 ),
inference(forward_demodulation,[],[f5463,f3358]) ).
fof(f5463,plain,
( sk_c7 = inverse(sk_c9)
| ~ spl27_10 ),
inference(forward_demodulation,[],[f3866,f204]) ).
fof(f204,plain,
( sk_c9 = sF20
| ~ spl27_10 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f202,plain,
( spl27_10
<=> sk_c9 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_10])]) ).
fof(f3866,plain,
sk_c7 = inverse(sF20),
inference(backward_demodulation,[],[f3779,f3785]) ).
fof(f3785,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[],[f3766,f3767]) ).
fof(f3766,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f333,f2]) ).
fof(f3779,plain,
sk_c7 = multiply(inverse(sF20),identity),
inference(superposition,[],[f333,f3663]) ).
fof(f3663,plain,
identity = multiply(sF20,sk_c7),
inference(superposition,[],[f2,f97]) ).
fof(f97,plain,
inverse(sk_c7) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f938,plain,
( sk_c12 != inverse(sk_c12)
| spl27_73 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f6556,plain,
( sk_c12 = sk_c7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_55
| ~ spl27_70
| ~ spl27_136 ),
inference(forward_demodulation,[],[f6555,f813]) ).
fof(f6555,plain,
( sk_c11 = sk_c7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_55
| ~ spl27_70
| ~ spl27_136 ),
inference(forward_demodulation,[],[f6554,f6111]) ).
fof(f6554,plain,
( sk_c11 = inverse(sk_c12)
| ~ spl27_8
| ~ spl27_55
| ~ spl27_70
| ~ spl27_136 ),
inference(forward_demodulation,[],[f924,f6488]) ).
fof(f6488,plain,
( identity = sk_c12
| ~ spl27_8
| ~ spl27_55
| ~ spl27_136 ),
inference(forward_demodulation,[],[f6487,f2]) ).
fof(f6487,plain,
( sk_c12 = multiply(inverse(sk_c12),sk_c12)
| ~ spl27_8
| ~ spl27_55
| ~ spl27_136 ),
inference(forward_demodulation,[],[f5057,f3358]) ).
fof(f5057,plain,
( sk_c12 = multiply(inverse(sk_c9),sk_c12)
| ~ spl27_8
| ~ spl27_55 ),
inference(forward_demodulation,[],[f3772,f194]) ).
fof(f924,plain,
( sk_c11 = inverse(identity)
| ~ spl27_70 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f923,plain,
( spl27_70
<=> sk_c11 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_70])]) ).
fof(f6510,plain,
( ~ spl27_8
| ~ spl27_10
| ~ spl27_55
| ~ spl27_75
| ~ spl27_136 ),
inference(avatar_contradiction_clause,[],[f6509]) ).
fof(f6509,plain,
( $false
| ~ spl27_8
| ~ spl27_10
| ~ spl27_55
| ~ spl27_75
| ~ spl27_136 ),
inference(subsumption_resolution,[],[f6497,f66]) ).
fof(f66,plain,
~ sP1(sk_c12),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f6497,plain,
( sP1(sk_c12)
| ~ spl27_8
| ~ spl27_10
| ~ spl27_55
| ~ spl27_75
| ~ spl27_136 ),
inference(backward_demodulation,[],[f6428,f6488]) ).
fof(f6428,plain,
( sP1(identity)
| ~ spl27_10
| ~ spl27_55
| ~ spl27_75
| ~ spl27_136 ),
inference(forward_demodulation,[],[f6427,f6199]) ).
fof(f6199,plain,
( identity = multiply(sk_c12,sk_c7)
| ~ spl27_10
| ~ spl27_136 ),
inference(forward_demodulation,[],[f3663,f5848]) ).
fof(f5848,plain,
( sk_c12 = sF20
| ~ spl27_10
| ~ spl27_136 ),
inference(backward_demodulation,[],[f204,f3358]) ).
fof(f6427,plain,
( sP1(multiply(sk_c12,sk_c7))
| ~ spl27_10
| ~ spl27_55
| ~ spl27_75
| ~ spl27_136 ),
inference(forward_demodulation,[],[f5271,f6111]) ).
fof(f6508,plain,
( ~ spl27_8
| ~ spl27_10
| ~ spl27_55
| ~ spl27_136
| spl27_140 ),
inference(avatar_contradiction_clause,[],[f6507]) ).
fof(f6507,plain,
( $false
| ~ spl27_8
| ~ spl27_10
| ~ spl27_55
| ~ spl27_136
| spl27_140 ),
inference(subsumption_resolution,[],[f6495,f6111]) ).
fof(f6495,plain,
( sk_c7 != inverse(sk_c12)
| ~ spl27_8
| ~ spl27_10
| ~ spl27_55
| ~ spl27_136
| spl27_140 ),
inference(backward_demodulation,[],[f6250,f6488]) ).
fof(f6250,plain,
( sk_c7 != inverse(identity)
| ~ spl27_10
| ~ spl27_136
| spl27_140 ),
inference(forward_demodulation,[],[f6249,f6199]) ).
fof(f6249,plain,
( sk_c7 != inverse(multiply(sk_c12,sk_c7))
| ~ spl27_10
| ~ spl27_136
| spl27_140 ),
inference(forward_demodulation,[],[f6248,f3358]) ).
fof(f6248,plain,
( sk_c7 != inverse(multiply(sk_c9,sk_c7))
| ~ spl27_10
| ~ spl27_136
| spl27_140 ),
inference(forward_demodulation,[],[f3531,f6111]) ).
fof(f3531,plain,
( inverse(sk_c12) != inverse(multiply(sk_c9,inverse(sk_c12)))
| spl27_140 ),
inference(avatar_component_clause,[],[f3529]) ).
fof(f3529,plain,
( spl27_140
<=> inverse(sk_c12) = inverse(multiply(sk_c9,inverse(sk_c12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_140])]) ).
fof(f6486,plain,
( spl27_57
| ~ spl27_8
| ~ spl27_14
| ~ spl27_55
| ~ spl27_136 ),
inference(avatar_split_clause,[],[f6451,f3357,f812,f240,f192,f825]) ).
fof(f6451,plain,
( sk_c12 = sk_c3
| ~ spl27_8
| ~ spl27_14
| ~ spl27_55
| ~ spl27_136 ),
inference(backward_demodulation,[],[f5293,f6434]) ).
fof(f6434,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl27_8
| ~ spl27_55
| ~ spl27_136 ),
inference(forward_demodulation,[],[f6433,f333]) ).
fof(f6433,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(inverse(sk_c12),multiply(sk_c12,X0))
| ~ spl27_8
| ~ spl27_55
| ~ spl27_136 ),
inference(forward_demodulation,[],[f5097,f3358]) ).
fof(f5097,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(inverse(sk_c9),multiply(sk_c12,X0))
| ~ spl27_8
| ~ spl27_55 ),
inference(forward_demodulation,[],[f3907,f194]) ).
fof(f3907,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(inverse(sk_c9),multiply(sF18,X0))
| ~ spl27_55 ),
inference(superposition,[],[f3,f3772]) ).
fof(f5293,plain,
( sk_c12 = multiply(sk_c12,sk_c3)
| ~ spl27_14
| ~ spl27_55 ),
inference(forward_demodulation,[],[f761,f813]) ).
fof(f6139,plain,
( ~ spl27_7
| ~ spl27_10
| spl27_73
| ~ spl27_136
| ~ spl27_140 ),
inference(avatar_contradiction_clause,[],[f6138]) ).
fof(f6138,plain,
( $false
| ~ spl27_7
| ~ spl27_10
| spl27_73
| ~ spl27_136
| ~ spl27_140 ),
inference(subsumption_resolution,[],[f6137,f6125]) ).
fof(f6125,plain,
( sk_c12 != sk_c7
| ~ spl27_7
| ~ spl27_10
| spl27_73
| ~ spl27_136
| ~ spl27_140 ),
inference(backward_demodulation,[],[f6087,f6112]) ).
fof(f6112,plain,
( identity = sk_c7
| ~ spl27_7
| ~ spl27_10
| ~ spl27_136
| ~ spl27_140 ),
inference(forward_demodulation,[],[f6111,f6086]) ).
fof(f6086,plain,
( identity = inverse(sk_c12)
| ~ spl27_7
| ~ spl27_136
| ~ spl27_140 ),
inference(backward_demodulation,[],[f6010,f6039]) ).
fof(f6039,plain,
( identity = sk_c6
| ~ spl27_7
| ~ spl27_136
| ~ spl27_140 ),
inference(backward_demodulation,[],[f6009,f6026]) ).
fof(f6026,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl27_7
| ~ spl27_136
| ~ spl27_140 ),
inference(backward_demodulation,[],[f6008,f6025]) ).
fof(f6025,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl27_7
| ~ spl27_136
| ~ spl27_140 ),
inference(backward_demodulation,[],[f3764,f6023]) ).
fof(f6023,plain,
( sk_c6 = inverse(identity)
| ~ spl27_7
| ~ spl27_136
| ~ spl27_140 ),
inference(forward_demodulation,[],[f6016,f6009]) ).
fof(f6016,plain,
( sk_c6 = inverse(multiply(sk_c12,sk_c6))
| ~ spl27_7
| ~ spl27_136
| ~ spl27_140 ),
inference(backward_demodulation,[],[f5851,f6010]) ).
fof(f5851,plain,
( inverse(sk_c12) = inverse(multiply(sk_c12,inverse(sk_c12)))
| ~ spl27_136
| ~ spl27_140 ),
inference(backward_demodulation,[],[f3530,f3358]) ).
fof(f3530,plain,
( inverse(sk_c12) = inverse(multiply(sk_c9,inverse(sk_c12)))
| ~ spl27_140 ),
inference(avatar_component_clause,[],[f3529]) ).
fof(f6008,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c6,X0)) = X0
| ~ spl27_7
| ~ spl27_136 ),
inference(forward_demodulation,[],[f4736,f3358]) ).
fof(f4736,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl27_7 ),
inference(forward_demodulation,[],[f3655,f189]) ).
fof(f3655,plain,
! [X0] : multiply(sF17,multiply(sk_c6,X0)) = X0,
inference(forward_demodulation,[],[f3654,f1]) ).
fof(f3654,plain,
! [X0] : multiply(identity,X0) = multiply(sF17,multiply(sk_c6,X0)),
inference(superposition,[],[f3,f942]) ).
fof(f6009,plain,
( identity = multiply(sk_c12,sk_c6)
| ~ spl27_7
| ~ spl27_136 ),
inference(forward_demodulation,[],[f5517,f3358]) ).
fof(f5517,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl27_7 ),
inference(forward_demodulation,[],[f942,f189]) ).
fof(f6010,plain,
( sk_c6 = inverse(sk_c12)
| ~ spl27_7
| ~ spl27_136 ),
inference(forward_demodulation,[],[f4737,f3358]) ).
fof(f4737,plain,
( sk_c6 = inverse(sk_c9)
| ~ spl27_7 ),
inference(forward_demodulation,[],[f3864,f189]) ).
fof(f3864,plain,
sk_c6 = inverse(sF17),
inference(backward_demodulation,[],[f3776,f3785]) ).
fof(f3776,plain,
sk_c6 = multiply(inverse(sF17),identity),
inference(superposition,[],[f333,f942]) ).
fof(f6087,plain,
( identity != sk_c12
| ~ spl27_7
| spl27_73
| ~ spl27_136
| ~ spl27_140 ),
inference(backward_demodulation,[],[f6011,f6039]) ).
fof(f6011,plain,
( sk_c12 != sk_c6
| ~ spl27_7
| spl27_73
| ~ spl27_136 ),
inference(backward_demodulation,[],[f938,f6010]) ).
fof(f6137,plain,
( sk_c12 = sk_c7
| ~ spl27_7
| ~ spl27_10
| ~ spl27_136
| ~ spl27_140 ),
inference(forward_demodulation,[],[f6136,f6112]) ).
fof(f6136,plain,
( identity = sk_c12
| ~ spl27_7
| ~ spl27_10
| ~ spl27_136
| ~ spl27_140 ),
inference(forward_demodulation,[],[f6135,f5848]) ).
fof(f6135,plain,
( identity = sF20
| ~ spl27_7
| ~ spl27_10
| ~ spl27_136
| ~ spl27_140 ),
inference(forward_demodulation,[],[f3663,f6117]) ).
fof(f6117,plain,
( ! [X0] : multiply(X0,sk_c7) = X0
| ~ spl27_7
| ~ spl27_10
| ~ spl27_136
| ~ spl27_140 ),
inference(backward_demodulation,[],[f4069,f6112]) ).
fof(f5648,plain,
( ~ spl27_55
| ~ spl27_70
| spl27_72 ),
inference(avatar_contradiction_clause,[],[f5647]) ).
fof(f5647,plain,
( $false
| ~ spl27_55
| ~ spl27_70
| spl27_72 ),
inference(subsumption_resolution,[],[f5646,f934]) ).
fof(f934,plain,
( sk_c12 != inverse(identity)
| spl27_72 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f932,plain,
( spl27_72
<=> sk_c12 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_72])]) ).
fof(f5646,plain,
( sk_c12 = inverse(identity)
| ~ spl27_55
| ~ spl27_70 ),
inference(forward_demodulation,[],[f924,f813]) ).
fof(f5357,plain,
( ~ spl27_14
| ~ spl27_55
| spl27_57
| ~ spl27_72 ),
inference(avatar_contradiction_clause,[],[f5356]) ).
fof(f5356,plain,
( $false
| ~ spl27_14
| ~ spl27_55
| spl27_57
| ~ spl27_72 ),
inference(subsumption_resolution,[],[f5326,f827]) ).
fof(f827,plain,
( sk_c12 != sk_c3
| spl27_57 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f5326,plain,
( sk_c12 = sk_c3
| ~ spl27_14
| ~ spl27_55
| ~ spl27_72 ),
inference(backward_demodulation,[],[f5293,f3783]) ).
fof(f3783,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl27_72 ),
inference(forward_demodulation,[],[f3764,f933]) ).
fof(f933,plain,
( sk_c12 = inverse(identity)
| ~ spl27_72 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f4849,plain,
( ~ spl27_73
| ~ spl27_123 ),
inference(avatar_contradiction_clause,[],[f4848]) ).
fof(f4848,plain,
( $false
| ~ spl27_73
| ~ spl27_123 ),
inference(subsumption_resolution,[],[f4847,f66]) ).
fof(f4847,plain,
( sP1(sk_c12)
| ~ spl27_73
| ~ spl27_123 ),
inference(forward_demodulation,[],[f3087,f937]) ).
fof(f3087,plain,
( sP1(inverse(sk_c12))
| ~ spl27_123 ),
inference(avatar_component_clause,[],[f3085]) ).
fof(f4295,plain,
( ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| spl27_4
| ~ spl27_5
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55 ),
inference(avatar_contradiction_clause,[],[f4294]) ).
fof(f4294,plain,
( $false
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| spl27_4
| ~ spl27_5
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55 ),
inference(subsumption_resolution,[],[f4293,f2259]) ).
fof(f2259,plain,
( sk_c12 = sk_c10
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(forward_demodulation,[],[f1995,f2072]) ).
fof(f2072,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(forward_demodulation,[],[f2067,f1984]) ).
fof(f1984,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c3,X0))
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f760,f1976]) ).
fof(f2067,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c3,X0)) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f982,f2064]) ).
fof(f2064,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c2,X0)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f1933,f2063]) ).
fof(f2063,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(forward_demodulation,[],[f1990,f334]) ).
fof(f1990,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c12,multiply(sk_c4,X0))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f351,f1976]) ).
fof(f351,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c11,multiply(sk_c4,X0))
| ~ spl27_2
| ~ spl27_3 ),
inference(superposition,[],[f324,f334]) ).
fof(f324,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c12,X0)) = multiply(sk_c11,X0)
| ~ spl27_2 ),
inference(superposition,[],[f3,f310]) ).
fof(f310,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| ~ spl27_2 ),
inference(backward_demodulation,[],[f80,f164]) ).
fof(f164,plain,
( sk_c11 = sF11
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f4293,plain,
( sk_c12 != sk_c10
| ~ spl27_2
| ~ spl27_3
| spl27_4
| ~ spl27_5
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55 ),
inference(forward_demodulation,[],[f173,f4143]) ).
fof(f4143,plain,
( sk_c12 = sF14
| ~ spl27_2
| ~ spl27_3
| ~ spl27_5
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55 ),
inference(forward_demodulation,[],[f4142,f4120]) ).
fof(f4120,plain,
( sk_c12 = sk_c5
| ~ spl27_2
| ~ spl27_3
| ~ spl27_5
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55 ),
inference(forward_demodulation,[],[f4119,f4020]) ).
fof(f4020,plain,
( identity = sk_c12
| ~ spl27_2
| ~ spl27_3
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(superposition,[],[f2,f3768]) ).
fof(f3768,plain,
( ! [X0] : multiply(inverse(sk_c12),X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(superposition,[],[f333,f2072]) ).
fof(f4119,plain,
( identity = sk_c5
| ~ spl27_2
| ~ spl27_3
| ~ spl27_5
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55 ),
inference(forward_demodulation,[],[f4118,f2072]) ).
fof(f4118,plain,
( identity = multiply(sk_c12,sk_c5)
| ~ spl27_5
| ~ spl27_55 ),
inference(forward_demodulation,[],[f3326,f4094]) ).
fof(f4094,plain,
( sk_c12 = sF15
| ~ spl27_5
| ~ spl27_55 ),
inference(forward_demodulation,[],[f179,f813]) ).
fof(f179,plain,
( sk_c11 = sF15
| ~ spl27_5 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl27_5
<=> sk_c11 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_5])]) ).
fof(f3326,plain,
identity = multiply(sF15,sk_c5),
inference(superposition,[],[f2,f87]) ).
fof(f87,plain,
inverse(sk_c5) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f4142,plain,
( sk_c5 = sF14
| ~ spl27_2
| ~ spl27_3
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_55 ),
inference(forward_demodulation,[],[f4141,f4042]) ).
fof(f4042,plain,
( ! [X0] : multiply(X0,sk_c12) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f3785,f4020]) ).
fof(f4141,plain,
( sF14 = multiply(sk_c5,sk_c12)
| ~ spl27_55 ),
inference(forward_demodulation,[],[f85,f813]) ).
fof(f85,plain,
multiply(sk_c5,sk_c11) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f173,plain,
( sk_c10 != sF14
| spl27_4 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl27_4
<=> sk_c10 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_4])]) ).
fof(f3093,plain,
( spl27_124
| ~ spl27_55
| ~ spl27_74 ),
inference(avatar_split_clause,[],[f3092,f956,f812,f3089]) ).
fof(f956,plain,
( spl27_74
<=> ! [X0] :
( inverse(sk_c11) != inverse(multiply(X0,inverse(sk_c11)))
| inverse(X0) != multiply(X0,inverse(sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_74])]) ).
fof(f3092,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,inverse(sk_c12))
| inverse(sk_c12) != inverse(multiply(X0,inverse(sk_c12))) )
| ~ spl27_55
| ~ spl27_74 ),
inference(forward_demodulation,[],[f2851,f813]) ).
fof(f2851,plain,
( ! [X0] :
( inverse(sk_c12) != inverse(multiply(X0,inverse(sk_c12)))
| inverse(X0) != multiply(X0,inverse(sk_c11)) )
| ~ spl27_55
| ~ spl27_74 ),
inference(forward_demodulation,[],[f957,f813]) ).
fof(f957,plain,
( ! [X0] :
( inverse(sk_c11) != inverse(multiply(X0,inverse(sk_c11)))
| inverse(X0) != multiply(X0,inverse(sk_c11)) )
| ~ spl27_74 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f2921,plain,
( spl27_72
| ~ spl27_2
| ~ spl27_3
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(avatar_split_clause,[],[f2920,f268,f254,f240,f167,f162,f932]) ).
fof(f2920,plain,
( sk_c12 = inverse(identity)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(forward_demodulation,[],[f309,f2083]) ).
fof(f2083,plain,
( identity = sk_c4
| ~ spl27_2
| ~ spl27_3
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(backward_demodulation,[],[f311,f2072]) ).
fof(f1975,plain,
( spl27_55
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(avatar_split_clause,[],[f1974,f268,f254,f240,f812]) ).
fof(f1974,plain,
( sk_c11 = sk_c12
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16 ),
inference(forward_demodulation,[],[f1966,f761]) ).
fof(f1966,plain,
( sk_c12 = multiply(sk_c12,sk_c3)
| ~ spl27_15
| ~ spl27_16 ),
inference(superposition,[],[f982,f759]) ).
fof(f1495,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| spl27_70 ),
inference(avatar_contradiction_clause,[],[f1494]) ).
fof(f1494,plain,
( $false
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| spl27_70 ),
inference(subsumption_resolution,[],[f1489,f925]) ).
fof(f925,plain,
( sk_c11 != inverse(identity)
| spl27_70 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f1489,plain,
( sk_c11 = inverse(identity)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(backward_demodulation,[],[f307,f1488]) ).
fof(f1488,plain,
( identity = sk_c5
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(forward_demodulation,[],[f1474,f1470]) ).
fof(f1470,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(forward_demodulation,[],[f1445,f1442]) ).
fof(f1442,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(forward_demodulation,[],[f1431,f324]) ).
fof(f1431,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c12,X0)) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(backward_demodulation,[],[f1403,f1423]) ).
fof(f1423,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c9,X0)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(forward_demodulation,[],[f1422,f1123]) ).
fof(f1123,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,X0)
| ~ spl27_9
| ~ spl27_10 ),
inference(superposition,[],[f342,f340]) ).
fof(f340,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl27_9 ),
inference(forward_demodulation,[],[f339,f1]) ).
fof(f339,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl27_9 ),
inference(superposition,[],[f3,f314]) ).
fof(f314,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl27_9 ),
inference(superposition,[],[f2,f303]) ).
fof(f303,plain,
( inverse(sk_c8) = sk_c7
| ~ spl27_9 ),
inference(backward_demodulation,[],[f95,f199]) ).
fof(f199,plain,
( sk_c7 = sF19
| ~ spl27_9 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl27_9
<=> sk_c7 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_9])]) ).
fof(f95,plain,
inverse(sk_c8) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f342,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c7,X0)) = X0
| ~ spl27_10 ),
inference(forward_demodulation,[],[f341,f1]) ).
fof(f341,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c7,X0))
| ~ spl27_10 ),
inference(superposition,[],[f3,f315]) ).
fof(f315,plain,
( identity = multiply(sk_c9,sk_c7)
| ~ spl27_10 ),
inference(superposition,[],[f2,f302]) ).
fof(f302,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl27_10 ),
inference(backward_demodulation,[],[f97,f204]) ).
fof(f1422,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c8,X0)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(forward_demodulation,[],[f1411,f1]) ).
fof(f1411,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c12,multiply(identity,X0))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(superposition,[],[f3,f1399]) ).
fof(f1399,plain,
( sk_c8 = multiply(sk_c12,identity)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(superposition,[],[f334,f1379]) ).
fof(f1379,plain,
( identity = multiply(sk_c4,sk_c8)
| ~ spl27_2
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(forward_demodulation,[],[f1376,f312]) ).
fof(f312,plain,
( identity = multiply(sk_c11,sk_c5)
| ~ spl27_5 ),
inference(superposition,[],[f2,f307]) ).
fof(f1376,plain,
( multiply(sk_c11,sk_c5) = multiply(sk_c4,sk_c8)
| ~ spl27_2
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(superposition,[],[f324,f1352]) ).
fof(f1352,plain,
( sk_c8 = multiply(sk_c12,sk_c5)
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(forward_demodulation,[],[f1343,f1121]) ).
fof(f1121,plain,
( sk_c8 = multiply(sk_c9,identity)
| ~ spl27_9
| ~ spl27_10 ),
inference(superposition,[],[f342,f314]) ).
fof(f1343,plain,
( multiply(sk_c9,identity) = multiply(sk_c12,sk_c5)
| ~ spl27_5
| ~ spl27_8 ),
inference(superposition,[],[f327,f312]) ).
fof(f327,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c9,multiply(sk_c11,X0))
| ~ spl27_8 ),
inference(superposition,[],[f3,f304]) ).
fof(f304,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| ~ spl27_8 ),
inference(backward_demodulation,[],[f93,f194]) ).
fof(f1403,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c9,X0)) = X0
| ~ spl27_2
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(forward_demodulation,[],[f1402,f1]) ).
fof(f1402,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c9,X0))
| ~ spl27_2
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(forward_demodulation,[],[f1400,f1123]) ).
fof(f1400,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl27_2
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(superposition,[],[f3,f1379]) ).
fof(f1445,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(backward_demodulation,[],[f350,f1442]) ).
fof(f350,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c10,X0))
| ~ spl27_4
| ~ spl27_5 ),
inference(superposition,[],[f3,f347]) ).
fof(f347,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl27_4
| ~ spl27_5 ),
inference(superposition,[],[f336,f308]) ).
fof(f308,plain,
( sk_c10 = multiply(sk_c5,sk_c11)
| ~ spl27_4 ),
inference(backward_demodulation,[],[f85,f174]) ).
fof(f174,plain,
( sk_c10 = sF14
| ~ spl27_4 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f336,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c5,X0)) = X0
| ~ spl27_5 ),
inference(forward_demodulation,[],[f335,f1]) ).
fof(f335,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c5,X0))
| ~ spl27_5 ),
inference(superposition,[],[f3,f312]) ).
fof(f1474,plain,
( identity = multiply(sk_c10,sk_c5)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(backward_demodulation,[],[f1463,f1470]) ).
fof(f1463,plain,
( multiply(sk_c10,sk_c5) = multiply(sk_c10,identity)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(backward_demodulation,[],[f369,f1444]) ).
fof(f1444,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c5,X0)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(backward_demodulation,[],[f325,f1442]) ).
fof(f325,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl27_4 ),
inference(superposition,[],[f3,f308]) ).
fof(f369,plain,
( multiply(sk_c10,sk_c5) = multiply(sk_c5,identity)
| ~ spl27_4
| ~ spl27_5 ),
inference(superposition,[],[f325,f312]) ).
fof(f307,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl27_5 ),
inference(backward_demodulation,[],[f87,f179]) ).
fof(f966,plain,
( spl27_74
| spl27_75
| spl27_76
| ~ spl27_22 ),
inference(avatar_split_clause,[],[f947,f298,f963,f959,f956]) ).
fof(f298,plain,
( spl27_22
<=> ! [X8,X10] :
( inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sP1(multiply(X8,inverse(X8)))
| sP0(multiply(inverse(X8),sk_c11))
| inverse(X10) != multiply(X10,inverse(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_22])]) ).
fof(f947,plain,
( ! [X0] :
( sP0(identity)
| sP1(multiply(sk_c11,inverse(sk_c11)))
| inverse(sk_c11) != inverse(multiply(X0,inverse(sk_c11)))
| inverse(X0) != multiply(X0,inverse(sk_c11)) )
| ~ spl27_22 ),
inference(superposition,[],[f299,f2]) ).
fof(f299,plain,
( ! [X10,X8] :
( sP0(multiply(inverse(X8),sk_c11))
| sP1(multiply(X8,inverse(X8)))
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| inverse(X10) != multiply(X10,inverse(X8)) )
| ~ spl27_22 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f727,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_22 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f726,plain,
( $false
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f721,f518]) ).
fof(f518,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11 ),
inference(backward_demodulation,[],[f401,f514]) ).
fof(f514,plain,
( sk_c12 = sk_c7
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11 ),
inference(backward_demodulation,[],[f499,f503]) ).
fof(f503,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10 ),
inference(backward_demodulation,[],[f1,f431]) ).
fof(f431,plain,
( identity = sk_c7
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10 ),
inference(backward_demodulation,[],[f416,f420]) ).
fof(f420,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f382,f419]) ).
fof(f419,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f410,f382]) ).
fof(f410,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c6,X0)) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f338,f397]) ).
fof(f397,plain,
( sk_c12 = sk_c9
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f395,f361]) ).
fof(f361,plain,
( sk_c9 = multiply(sk_c9,sk_c12)
| ~ spl27_6
| ~ spl27_7 ),
inference(superposition,[],[f338,f306]) ).
fof(f306,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| ~ spl27_6 ),
inference(backward_demodulation,[],[f89,f184]) ).
fof(f184,plain,
( sk_c12 = sF16
| ~ spl27_6 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f395,plain,
( sk_c12 = multiply(sk_c9,sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(superposition,[],[f338,f389]) ).
fof(f389,plain,
( sk_c12 = multiply(sk_c6,sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_8 ),
inference(forward_demodulation,[],[f383,f343]) ).
fof(f343,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl27_2
| ~ spl27_3 ),
inference(superposition,[],[f334,f310]) ).
fof(f383,plain,
( multiply(sk_c12,sk_c11) = multiply(sk_c6,sk_c12)
| ~ spl27_6
| ~ spl27_8 ),
inference(superposition,[],[f326,f304]) ).
fof(f326,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c6,multiply(sk_c9,X0))
| ~ spl27_6 ),
inference(superposition,[],[f3,f306]) ).
fof(f338,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl27_7 ),
inference(forward_demodulation,[],[f337,f1]) ).
fof(f337,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl27_7 ),
inference(superposition,[],[f3,f313]) ).
fof(f313,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl27_7 ),
inference(superposition,[],[f2,f305]) ).
fof(f305,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl27_7 ),
inference(backward_demodulation,[],[f91,f189]) ).
fof(f382,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c12,multiply(sk_c6,X0))
| ~ spl27_6
| ~ spl27_7 ),
inference(superposition,[],[f326,f338]) ).
fof(f416,plain,
( identity = multiply(sk_c12,sk_c7)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10 ),
inference(forward_demodulation,[],[f405,f391]) ).
fof(f391,plain,
( multiply(sk_c12,sk_c6) = multiply(sk_c12,sk_c7)
| ~ spl27_6
| ~ spl27_7
| ~ spl27_10 ),
inference(forward_demodulation,[],[f386,f385]) ).
fof(f385,plain,
( multiply(sk_c12,sk_c6) = multiply(sk_c6,identity)
| ~ spl27_6
| ~ spl27_7 ),
inference(superposition,[],[f326,f313]) ).
fof(f386,plain,
( multiply(sk_c6,identity) = multiply(sk_c12,sk_c7)
| ~ spl27_6
| ~ spl27_10 ),
inference(superposition,[],[f326,f315]) ).
fof(f405,plain,
( identity = multiply(sk_c12,sk_c6)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f313,f397]) ).
fof(f499,plain,
( sk_c7 = multiply(sk_c7,sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_11 ),
inference(backward_demodulation,[],[f400,f425]) ).
fof(f425,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_11 ),
inference(backward_demodulation,[],[f409,f420]) ).
fof(f409,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c12,X0))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_11 ),
inference(backward_demodulation,[],[f328,f397]) ).
fof(f328,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c9,X0)) = multiply(sk_c7,X0)
| ~ spl27_11 ),
inference(superposition,[],[f3,f301]) ).
fof(f301,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| ~ spl27_11 ),
inference(backward_demodulation,[],[f99,f209]) ).
fof(f209,plain,
( sk_c7 = sF21
| ~ spl27_11 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f207,plain,
( spl27_11
<=> sk_c7 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_11])]) ).
fof(f400,plain,
( sk_c7 = multiply(sk_c8,sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_11 ),
inference(backward_demodulation,[],[f301,f397]) ).
fof(f401,plain,
( sk_c12 = inverse(sk_c7)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10 ),
inference(backward_demodulation,[],[f302,f397]) ).
fof(f721,plain,
( sk_c12 != inverse(sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_22 ),
inference(duplicate_literal_removal,[],[f717]) ).
fof(f717,plain,
( sk_c12 != inverse(sk_c12)
| sk_c12 != inverse(sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_22 ),
inference(superposition,[],[f680,f420]) ).
fof(f680,plain,
( ! [X0] :
( sk_c12 != inverse(multiply(X0,sk_c12))
| inverse(X0) != multiply(X0,sk_c12) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f679,f66]) ).
fof(f679,plain,
( ! [X0] :
( sP1(sk_c12)
| sk_c12 != inverse(multiply(X0,sk_c12))
| inverse(X0) != multiply(X0,sk_c12) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_22 ),
inference(forward_demodulation,[],[f678,f420]) ).
fof(f678,plain,
( ! [X0] :
( sk_c12 != inverse(multiply(X0,sk_c12))
| sP1(multiply(sk_c12,sk_c12))
| inverse(X0) != multiply(X0,sk_c12) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f677,f65]) ).
fof(f677,plain,
( ! [X0] :
( sP0(sk_c12)
| sk_c12 != inverse(multiply(X0,sk_c12))
| sP1(multiply(sk_c12,sk_c12))
| inverse(X0) != multiply(X0,sk_c12) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_22 ),
inference(forward_demodulation,[],[f673,f420]) ).
fof(f673,plain,
( ! [X0] :
( sP0(multiply(sk_c12,sk_c12))
| sk_c12 != inverse(multiply(X0,sk_c12))
| sP1(multiply(sk_c12,sk_c12))
| inverse(X0) != multiply(X0,sk_c12) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_22 ),
inference(superposition,[],[f672,f518]) ).
fof(f672,plain,
( ! [X10,X8] :
( sP0(multiply(inverse(X8),sk_c12))
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sP1(multiply(X8,inverse(X8)))
| inverse(X10) != multiply(X10,inverse(X8)) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_22 ),
inference(forward_demodulation,[],[f299,f474]) ).
fof(f474,plain,
( sk_c11 = sk_c12
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f464,f463]) ).
fof(f463,plain,
( sk_c11 = sk_c10
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f372,f459]) ).
fof(f459,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f446,f443]) ).
fof(f443,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f424,f420]) ).
fof(f424,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c11,X0)) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f346,f420]) ).
fof(f346,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c11,X0))
| ~ spl27_2
| ~ spl27_3 ),
inference(superposition,[],[f3,f343]) ).
fof(f446,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f350,f443]) ).
fof(f372,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(forward_demodulation,[],[f366,f308]) ).
fof(f366,plain,
( multiply(sk_c5,sk_c11) = multiply(sk_c10,sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(superposition,[],[f325,f357]) ).
fof(f357,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl27_2
| ~ spl27_3 ),
inference(forward_demodulation,[],[f352,f310]) ).
fof(f352,plain,
( multiply(sk_c4,sk_c12) = multiply(sk_c11,sk_c11)
| ~ spl27_2
| ~ spl27_3 ),
inference(superposition,[],[f324,f343]) ).
fof(f464,plain,
( sk_c12 = sk_c10
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f441,f459]) ).
fof(f441,plain,
( sk_c10 = multiply(sk_c10,sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f438,f308]) ).
fof(f438,plain,
( multiply(sk_c5,sk_c11) = multiply(sk_c10,sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f367,f437]) ).
fof(f437,plain,
( sk_c11 = sF12
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f435,f81]) ).
fof(f435,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f310,f422]) ).
fof(f422,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c11,X0)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f324,f420]) ).
fof(f367,plain,
( multiply(sk_c10,sk_c12) = multiply(sk_c5,sF12)
| ~ spl27_4 ),
inference(superposition,[],[f325,f81]) ).
fof(f649,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_21 ),
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f648,plain,
( $false
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_21 ),
inference(subsumption_resolution,[],[f647,f487]) ).
fof(f487,plain,
( ~ sP3(sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f468,f474]) ).
fof(f468,plain,
( ~ sP3(sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f68,f463]) ).
fof(f647,plain,
( sP3(sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_21 ),
inference(forward_demodulation,[],[f646,f420]) ).
fof(f646,plain,
( sP3(multiply(sk_c12,sk_c12))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_21 ),
inference(subsumption_resolution,[],[f643,f475]) ).
fof(f475,plain,
( ~ sP2(sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f67,f474]) ).
fof(f643,plain,
( sP2(sk_c12)
| sP3(multiply(sk_c12,sk_c12))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_21 ),
inference(superposition,[],[f635,f518]) ).
fof(f635,plain,
( ! [X7] :
( sP2(inverse(X7))
| sP3(multiply(X7,sk_c12)) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_21 ),
inference(forward_demodulation,[],[f296,f474]) ).
fof(f612,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_20 ),
inference(avatar_contradiction_clause,[],[f611]) ).
fof(f611,plain,
( $false
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_20 ),
inference(subsumption_resolution,[],[f610,f476]) ).
fof(f476,plain,
( ~ sP5(sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f70,f474]) ).
fof(f610,plain,
( sP5(sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_20 ),
inference(forward_demodulation,[],[f609,f420]) ).
fof(f609,plain,
( sP5(multiply(sk_c12,sk_c12))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_20 ),
inference(subsumption_resolution,[],[f606,f69]) ).
fof(f606,plain,
( sP4(sk_c12)
| sP5(multiply(sk_c12,sk_c12))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_20 ),
inference(superposition,[],[f293,f518]) ).
fof(f583,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_19 ),
inference(avatar_contradiction_clause,[],[f582]) ).
fof(f582,plain,
( $false
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_19 ),
inference(subsumption_resolution,[],[f581,f477]) ).
fof(f477,plain,
( ~ sP7(sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f72,f474]) ).
fof(f581,plain,
( sP7(sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_19 ),
inference(forward_demodulation,[],[f580,f420]) ).
fof(f580,plain,
( sP7(multiply(sk_c12,sk_c12))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_19 ),
inference(subsumption_resolution,[],[f577,f71]) ).
fof(f577,plain,
( sP6(sk_c12)
| sP7(multiply(sk_c12,sk_c12))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_19 ),
inference(superposition,[],[f576,f518]) ).
fof(f576,plain,
( ! [X5] :
( sP6(inverse(X5))
| sP7(multiply(X5,sk_c12)) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_19 ),
inference(forward_demodulation,[],[f290,f420]) ).
fof(f553,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_18 ),
inference(avatar_contradiction_clause,[],[f552]) ).
fof(f552,plain,
( $false
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_18 ),
inference(subsumption_resolution,[],[f551,f74]) ).
fof(f551,plain,
( sP9(sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_18 ),
inference(forward_demodulation,[],[f550,f420]) ).
fof(f550,plain,
( sP9(multiply(sk_c12,sk_c12))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_18 ),
inference(subsumption_resolution,[],[f547,f478]) ).
fof(f478,plain,
( ~ sP8(sk_c12)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f73,f474]) ).
fof(f547,plain,
( sP8(sk_c12)
| sP9(multiply(sk_c12,sk_c12))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11
| ~ spl27_18 ),
inference(superposition,[],[f538,f518]) ).
fof(f538,plain,
( ! [X3] :
( sP8(inverse(X3))
| sP9(multiply(X3,sk_c12)) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_18 ),
inference(forward_demodulation,[],[f287,f474]) ).
fof(f473,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_17 ),
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f472,plain,
( $false
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_17 ),
inference(subsumption_resolution,[],[f470,f439]) ).
fof(f439,plain,
( ~ sP10(sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f156,f437]) ).
fof(f470,plain,
( sP10(sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_17 ),
inference(backward_demodulation,[],[f284,f463]) ).
fof(f300,plain,
( spl27_17
| spl27_18
| spl27_19
| spl27_20
| spl27_21
| spl27_22 ),
inference(avatar_split_clause,[],[f79,f298,f295,f292,f289,f286,f282]) ).
fof(f79,plain,
! [X3,X10,X8,X6,X7,X5] :
( inverse(X8) != inverse(multiply(X10,inverse(X8)))
| inverse(X10) != multiply(X10,inverse(X8))
| sP0(multiply(inverse(X8),sk_c11))
| sP1(multiply(X8,inverse(X8)))
| sP2(inverse(X7))
| sP3(multiply(X7,sk_c11))
| sP4(inverse(X6))
| sP5(multiply(X6,sk_c12))
| sP6(inverse(X5))
| sP7(multiply(sk_c12,multiply(X5,sk_c12)))
| sP8(inverse(X3))
| sP9(multiply(X3,sk_c11))
| sP10(sk_c10) ),
inference(equality_resolution,[],[f78]) ).
fof(f78,plain,
! [X3,X10,X8,X6,X7,X4,X5] :
( inverse(X8) != inverse(multiply(X10,inverse(X8)))
| inverse(X10) != multiply(X10,inverse(X8))
| sP0(multiply(inverse(X8),sk_c11))
| sP1(multiply(X8,inverse(X8)))
| sP2(inverse(X7))
| sP3(multiply(X7,sk_c11))
| sP4(inverse(X6))
| sP5(multiply(X6,sk_c12))
| sP6(inverse(X5))
| multiply(X5,sk_c12) != X4
| sP7(multiply(sk_c12,X4))
| sP8(inverse(X3))
| sP9(multiply(X3,sk_c11))
| sP10(sk_c10) ),
inference(equality_resolution,[],[f77]) ).
fof(f77,plain,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( inverse(multiply(X10,X9)) != X9
| inverse(X10) != multiply(X10,X9)
| sP0(multiply(X9,sk_c11))
| inverse(X8) != X9
| sP1(multiply(X8,X9))
| sP2(inverse(X7))
| sP3(multiply(X7,sk_c11))
| sP4(inverse(X6))
| sP5(multiply(X6,sk_c12))
| sP6(inverse(X5))
| multiply(X5,sk_c12) != X4
| sP7(multiply(sk_c12,X4))
| sP8(inverse(X3))
| sP9(multiply(X3,sk_c11))
| sP10(sk_c10) ),
inference(equality_resolution,[],[f76]) ).
fof(f76,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( multiply(X10,X9) != X11
| inverse(X11) != X9
| inverse(X10) != X11
| sP0(multiply(X9,sk_c11))
| inverse(X8) != X9
| sP1(multiply(X8,X9))
| sP2(inverse(X7))
| sP3(multiply(X7,sk_c11))
| sP4(inverse(X6))
| sP5(multiply(X6,sk_c12))
| sP6(inverse(X5))
| multiply(X5,sk_c12) != X4
| sP7(multiply(sk_c12,X4))
| sP8(inverse(X3))
| sP9(multiply(X3,sk_c11))
| sP10(sk_c10) ),
inference(inequality_splitting,[],[f64,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65]) ).
fof(f64,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( multiply(X10,X9) != X11
| inverse(X11) != X9
| inverse(X10) != X11
| sk_c12 != multiply(X9,sk_c11)
| inverse(X8) != X9
| sk_c12 != multiply(X8,X9)
| sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != inverse(X6)
| sk_c11 != multiply(X6,sk_c12)
| sk_c12 != inverse(X5)
| multiply(X5,sk_c12) != X4
| sk_c11 != multiply(sk_c12,X4)
| sk_c11 != inverse(X3)
| sk_c12 != multiply(X3,sk_c11)
| multiply(sk_c11,sk_c12) != sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_61) ).
fof(f280,plain,
( spl27_16
| spl27_11 ),
inference(avatar_split_clause,[],[f155,f207,f268]) ).
fof(f155,plain,
( sk_c7 = sF21
| sk_c12 = sF26 ),
inference(definition_folding,[],[f63,f145,f99]) ).
fof(f63,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_60) ).
fof(f279,plain,
( spl27_16
| spl27_10 ),
inference(avatar_split_clause,[],[f154,f202,f268]) ).
fof(f154,plain,
( sk_c9 = sF20
| sk_c12 = sF26 ),
inference(definition_folding,[],[f62,f145,f97]) ).
fof(f62,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_59) ).
fof(f278,plain,
( spl27_16
| spl27_9 ),
inference(avatar_split_clause,[],[f153,f197,f268]) ).
fof(f153,plain,
( sk_c7 = sF19
| sk_c12 = sF26 ),
inference(definition_folding,[],[f61,f145,f95]) ).
fof(f61,axiom,
( inverse(sk_c8) = sk_c7
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_58) ).
fof(f277,plain,
( spl27_16
| spl27_8 ),
inference(avatar_split_clause,[],[f152,f192,f268]) ).
fof(f152,plain,
( sk_c12 = sF18
| sk_c12 = sF26 ),
inference(definition_folding,[],[f60,f145,f93]) ).
fof(f60,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_57) ).
fof(f276,plain,
( spl27_16
| spl27_7 ),
inference(avatar_split_clause,[],[f151,f187,f268]) ).
fof(f151,plain,
( sk_c9 = sF17
| sk_c12 = sF26 ),
inference(definition_folding,[],[f59,f145,f91]) ).
fof(f59,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_56) ).
fof(f275,plain,
( spl27_16
| spl27_6 ),
inference(avatar_split_clause,[],[f150,f182,f268]) ).
fof(f150,plain,
( sk_c12 = sF16
| sk_c12 = sF26 ),
inference(definition_folding,[],[f58,f145,f89]) ).
fof(f58,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_55) ).
fof(f274,plain,
( spl27_16
| spl27_5 ),
inference(avatar_split_clause,[],[f149,f177,f268]) ).
fof(f149,plain,
( sk_c11 = sF15
| sk_c12 = sF26 ),
inference(definition_folding,[],[f57,f145,f87]) ).
fof(f57,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_54) ).
fof(f273,plain,
( spl27_16
| spl27_4 ),
inference(avatar_split_clause,[],[f148,f172,f268]) ).
fof(f148,plain,
( sk_c10 = sF14
| sk_c12 = sF26 ),
inference(definition_folding,[],[f56,f145,f85]) ).
fof(f56,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_53) ).
fof(f272,plain,
( spl27_16
| spl27_3 ),
inference(avatar_split_clause,[],[f147,f167,f268]) ).
fof(f147,plain,
( sk_c12 = sF13
| sk_c12 = sF26 ),
inference(definition_folding,[],[f55,f145,f83]) ).
fof(f55,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_52) ).
fof(f271,plain,
( spl27_16
| spl27_2 ),
inference(avatar_split_clause,[],[f146,f162,f268]) ).
fof(f146,plain,
( sk_c11 = sF11
| sk_c12 = sF26 ),
inference(definition_folding,[],[f54,f145,f80]) ).
fof(f54,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_51) ).
fof(f266,plain,
( spl27_15
| spl27_11 ),
inference(avatar_split_clause,[],[f144,f207,f254]) ).
fof(f144,plain,
( sk_c7 = sF21
| sk_c3 = sF25 ),
inference(definition_folding,[],[f53,f134,f99]) ).
fof(f53,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c12) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_50) ).
fof(f265,plain,
( spl27_15
| spl27_10 ),
inference(avatar_split_clause,[],[f143,f202,f254]) ).
fof(f143,plain,
( sk_c9 = sF20
| sk_c3 = sF25 ),
inference(definition_folding,[],[f52,f134,f97]) ).
fof(f52,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c3 = multiply(sk_c2,sk_c12) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_49) ).
fof(f264,plain,
( spl27_15
| spl27_9 ),
inference(avatar_split_clause,[],[f142,f197,f254]) ).
fof(f142,plain,
( sk_c7 = sF19
| sk_c3 = sF25 ),
inference(definition_folding,[],[f51,f134,f95]) ).
fof(f51,axiom,
( inverse(sk_c8) = sk_c7
| sk_c3 = multiply(sk_c2,sk_c12) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_48) ).
fof(f263,plain,
( spl27_15
| spl27_8 ),
inference(avatar_split_clause,[],[f141,f192,f254]) ).
fof(f141,plain,
( sk_c12 = sF18
| sk_c3 = sF25 ),
inference(definition_folding,[],[f50,f134,f93]) ).
fof(f50,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c3 = multiply(sk_c2,sk_c12) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_47) ).
fof(f262,plain,
( spl27_15
| spl27_7 ),
inference(avatar_split_clause,[],[f140,f187,f254]) ).
fof(f140,plain,
( sk_c9 = sF17
| sk_c3 = sF25 ),
inference(definition_folding,[],[f49,f134,f91]) ).
fof(f49,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c3 = multiply(sk_c2,sk_c12) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_46) ).
fof(f261,plain,
( spl27_15
| spl27_6 ),
inference(avatar_split_clause,[],[f139,f182,f254]) ).
fof(f139,plain,
( sk_c12 = sF16
| sk_c3 = sF25 ),
inference(definition_folding,[],[f48,f134,f89]) ).
fof(f48,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c12) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_45) ).
fof(f260,plain,
( spl27_15
| spl27_5 ),
inference(avatar_split_clause,[],[f138,f177,f254]) ).
fof(f138,plain,
( sk_c11 = sF15
| sk_c3 = sF25 ),
inference(definition_folding,[],[f47,f134,f87]) ).
fof(f47,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c12) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_44) ).
fof(f259,plain,
( spl27_15
| spl27_4 ),
inference(avatar_split_clause,[],[f137,f172,f254]) ).
fof(f137,plain,
( sk_c10 = sF14
| sk_c3 = sF25 ),
inference(definition_folding,[],[f46,f134,f85]) ).
fof(f46,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| sk_c3 = multiply(sk_c2,sk_c12) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_43) ).
fof(f258,plain,
( spl27_15
| spl27_3 ),
inference(avatar_split_clause,[],[f136,f167,f254]) ).
fof(f136,plain,
( sk_c12 = sF13
| sk_c3 = sF25 ),
inference(definition_folding,[],[f45,f134,f83]) ).
fof(f45,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c12) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_42) ).
fof(f257,plain,
( spl27_15
| spl27_2 ),
inference(avatar_split_clause,[],[f135,f162,f254]) ).
fof(f135,plain,
( sk_c11 = sF11
| sk_c3 = sF25 ),
inference(definition_folding,[],[f44,f134,f80]) ).
fof(f44,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c3 = multiply(sk_c2,sk_c12) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_41) ).
fof(f252,plain,
( spl27_14
| spl27_11 ),
inference(avatar_split_clause,[],[f133,f207,f240]) ).
fof(f133,plain,
( sk_c7 = sF21
| sk_c11 = sF24 ),
inference(definition_folding,[],[f43,f123,f99]) ).
fof(f43,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c11 = multiply(sk_c12,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_40) ).
fof(f251,plain,
( spl27_14
| spl27_10 ),
inference(avatar_split_clause,[],[f132,f202,f240]) ).
fof(f132,plain,
( sk_c9 = sF20
| sk_c11 = sF24 ),
inference(definition_folding,[],[f42,f123,f97]) ).
fof(f42,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c11 = multiply(sk_c12,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_39) ).
fof(f250,plain,
( spl27_14
| spl27_9 ),
inference(avatar_split_clause,[],[f131,f197,f240]) ).
fof(f131,plain,
( sk_c7 = sF19
| sk_c11 = sF24 ),
inference(definition_folding,[],[f41,f123,f95]) ).
fof(f41,axiom,
( inverse(sk_c8) = sk_c7
| sk_c11 = multiply(sk_c12,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_38) ).
fof(f249,plain,
( spl27_14
| spl27_8 ),
inference(avatar_split_clause,[],[f130,f192,f240]) ).
fof(f130,plain,
( sk_c12 = sF18
| sk_c11 = sF24 ),
inference(definition_folding,[],[f40,f123,f93]) ).
fof(f40,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c11 = multiply(sk_c12,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_37) ).
fof(f248,plain,
( spl27_14
| spl27_7 ),
inference(avatar_split_clause,[],[f129,f187,f240]) ).
fof(f129,plain,
( sk_c9 = sF17
| sk_c11 = sF24 ),
inference(definition_folding,[],[f39,f123,f91]) ).
fof(f39,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c11 = multiply(sk_c12,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_36) ).
fof(f247,plain,
( spl27_14
| spl27_6 ),
inference(avatar_split_clause,[],[f128,f182,f240]) ).
fof(f128,plain,
( sk_c12 = sF16
| sk_c11 = sF24 ),
inference(definition_folding,[],[f38,f123,f89]) ).
fof(f38,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c11 = multiply(sk_c12,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_35) ).
fof(f246,plain,
( spl27_14
| spl27_5 ),
inference(avatar_split_clause,[],[f127,f177,f240]) ).
fof(f127,plain,
( sk_c11 = sF15
| sk_c11 = sF24 ),
inference(definition_folding,[],[f37,f123,f87]) ).
fof(f37,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c11 = multiply(sk_c12,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_34) ).
fof(f245,plain,
( spl27_14
| spl27_4 ),
inference(avatar_split_clause,[],[f126,f172,f240]) ).
fof(f126,plain,
( sk_c10 = sF14
| sk_c11 = sF24 ),
inference(definition_folding,[],[f36,f123,f85]) ).
fof(f36,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| sk_c11 = multiply(sk_c12,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_33) ).
fof(f244,plain,
( spl27_14
| spl27_3 ),
inference(avatar_split_clause,[],[f125,f167,f240]) ).
fof(f125,plain,
( sk_c12 = sF13
| sk_c11 = sF24 ),
inference(definition_folding,[],[f35,f123,f83]) ).
fof(f35,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c11 = multiply(sk_c12,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_32) ).
fof(f243,plain,
( spl27_14
| spl27_2 ),
inference(avatar_split_clause,[],[f124,f162,f240]) ).
fof(f124,plain,
( sk_c11 = sF11
| sk_c11 = sF24 ),
inference(definition_folding,[],[f34,f123,f80]) ).
fof(f34,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c11 = multiply(sk_c12,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_31) ).
fof(f238,plain,
( spl27_13
| spl27_11 ),
inference(avatar_split_clause,[],[f122,f207,f226]) ).
fof(f122,plain,
( sk_c7 = sF21
| sk_c11 = sF23 ),
inference(definition_folding,[],[f33,f112,f99]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_30) ).
fof(f237,plain,
( spl27_13
| spl27_10 ),
inference(avatar_split_clause,[],[f121,f202,f226]) ).
fof(f121,plain,
( sk_c9 = sF20
| sk_c11 = sF23 ),
inference(definition_folding,[],[f32,f112,f97]) ).
fof(f32,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_29) ).
fof(f235,plain,
( spl27_13
| spl27_8 ),
inference(avatar_split_clause,[],[f119,f192,f226]) ).
fof(f119,plain,
( sk_c12 = sF18
| sk_c11 = sF23 ),
inference(definition_folding,[],[f30,f112,f93]) ).
fof(f30,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_27) ).
fof(f234,plain,
( spl27_13
| spl27_7 ),
inference(avatar_split_clause,[],[f118,f187,f226]) ).
fof(f118,plain,
( sk_c9 = sF17
| sk_c11 = sF23 ),
inference(definition_folding,[],[f29,f112,f91]) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_26) ).
fof(f232,plain,
( spl27_13
| spl27_5 ),
inference(avatar_split_clause,[],[f116,f177,f226]) ).
fof(f116,plain,
( sk_c11 = sF15
| sk_c11 = sF23 ),
inference(definition_folding,[],[f27,f112,f87]) ).
fof(f27,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_24) ).
fof(f230,plain,
( spl27_13
| spl27_3 ),
inference(avatar_split_clause,[],[f114,f167,f226]) ).
fof(f114,plain,
( sk_c12 = sF13
| sk_c11 = sF23 ),
inference(definition_folding,[],[f25,f112,f83]) ).
fof(f25,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_22) ).
fof(f229,plain,
( spl27_13
| spl27_2 ),
inference(avatar_split_clause,[],[f113,f162,f226]) ).
fof(f113,plain,
( sk_c11 = sF11
| sk_c11 = sF23 ),
inference(definition_folding,[],[f24,f112,f80]) ).
fof(f24,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_21) ).
fof(f224,plain,
( spl27_12
| spl27_11 ),
inference(avatar_split_clause,[],[f111,f207,f212]) ).
fof(f111,plain,
( sk_c7 = sF21
| sk_c12 = sF22 ),
inference(definition_folding,[],[f23,f101,f99]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_20) ).
fof(f223,plain,
( spl27_12
| spl27_10 ),
inference(avatar_split_clause,[],[f110,f202,f212]) ).
fof(f110,plain,
( sk_c9 = sF20
| sk_c12 = sF22 ),
inference(definition_folding,[],[f22,f101,f97]) ).
fof(f22,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_19) ).
fof(f221,plain,
( spl27_12
| spl27_8 ),
inference(avatar_split_clause,[],[f108,f192,f212]) ).
fof(f108,plain,
( sk_c12 = sF18
| sk_c12 = sF22 ),
inference(definition_folding,[],[f20,f101,f93]) ).
fof(f20,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_17) ).
fof(f220,plain,
( spl27_12
| spl27_7 ),
inference(avatar_split_clause,[],[f107,f187,f212]) ).
fof(f107,plain,
( sk_c9 = sF17
| sk_c12 = sF22 ),
inference(definition_folding,[],[f19,f101,f91]) ).
fof(f19,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_16) ).
fof(f218,plain,
( spl27_12
| spl27_5 ),
inference(avatar_split_clause,[],[f105,f177,f212]) ).
fof(f105,plain,
( sk_c11 = sF15
| sk_c12 = sF22 ),
inference(definition_folding,[],[f17,f101,f87]) ).
fof(f17,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_14) ).
fof(f216,plain,
( spl27_12
| spl27_3 ),
inference(avatar_split_clause,[],[f103,f167,f212]) ).
fof(f103,plain,
( sk_c12 = sF13
| sk_c12 = sF22 ),
inference(definition_folding,[],[f15,f101,f83]) ).
fof(f15,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_12) ).
fof(f215,plain,
( spl27_12
| spl27_2 ),
inference(avatar_split_clause,[],[f102,f162,f212]) ).
fof(f102,plain,
( sk_c11 = sF11
| sk_c12 = sF22 ),
inference(definition_folding,[],[f14,f101,f80]) ).
fof(f14,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_11) ).
fof(f210,plain,
( spl27_1
| spl27_11 ),
inference(avatar_split_clause,[],[f100,f207,f158]) ).
fof(f100,plain,
( sk_c7 = sF21
| sk_c10 = sF12 ),
inference(definition_folding,[],[f13,f81,f99]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_10) ).
fof(f205,plain,
( spl27_1
| spl27_10 ),
inference(avatar_split_clause,[],[f98,f202,f158]) ).
fof(f98,plain,
( sk_c9 = sF20
| sk_c10 = sF12 ),
inference(definition_folding,[],[f12,f81,f97]) ).
fof(f12,axiom,
( sk_c9 = inverse(sk_c7)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_9) ).
fof(f195,plain,
( spl27_1
| spl27_8 ),
inference(avatar_split_clause,[],[f94,f192,f158]) ).
fof(f94,plain,
( sk_c12 = sF18
| sk_c10 = sF12 ),
inference(definition_folding,[],[f10,f81,f93]) ).
fof(f10,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_7) ).
fof(f190,plain,
( spl27_1
| spl27_7 ),
inference(avatar_split_clause,[],[f92,f187,f158]) ).
fof(f92,plain,
( sk_c9 = sF17
| sk_c10 = sF12 ),
inference(definition_folding,[],[f9,f81,f91]) ).
fof(f9,axiom,
( sk_c9 = inverse(sk_c6)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_6) ).
fof(f180,plain,
( spl27_1
| spl27_5 ),
inference(avatar_split_clause,[],[f88,f177,f158]) ).
fof(f88,plain,
( sk_c11 = sF15
| sk_c10 = sF12 ),
inference(definition_folding,[],[f7,f81,f87]) ).
fof(f7,axiom,
( sk_c11 = inverse(sk_c5)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_4) ).
fof(f175,plain,
( spl27_1
| spl27_4 ),
inference(avatar_split_clause,[],[f86,f172,f158]) ).
fof(f86,plain,
( sk_c10 = sF14
| sk_c10 = sF12 ),
inference(definition_folding,[],[f6,f81,f85]) ).
fof(f6,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_3) ).
fof(f170,plain,
( spl27_1
| spl27_3 ),
inference(avatar_split_clause,[],[f84,f167,f158]) ).
fof(f84,plain,
( sk_c12 = sF13
| sk_c10 = sF12 ),
inference(definition_folding,[],[f5,f81,f83]) ).
fof(f5,axiom,
( sk_c12 = inverse(sk_c4)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_2) ).
fof(f165,plain,
( spl27_1
| spl27_2 ),
inference(avatar_split_clause,[],[f82,f162,f158]) ).
fof(f82,plain,
( sk_c11 = sF11
| sk_c10 = sF12 ),
inference(definition_folding,[],[f4,f81,f80]) ).
fof(f4,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP318-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 18:23:44 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.D3t6OJ45Xy/Vampire---4.8_23292
% 0.54/0.75 % (23726)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.75 % (23732)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.60/0.75 % (23729)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.60/0.75 % (23728)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.75 % (23730)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.75 % (23731)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.60/0.75 % (23726)Refutation not found, incomplete strategy% (23726)------------------------------
% 0.60/0.75 % (23726)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75 % (23726)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (23726)Memory used [KB]: 1101
% 0.60/0.75 % (23727)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.60/0.75 % (23726)Time elapsed: 0.003 s
% 0.60/0.75 % (23726)Instructions burned: 5 (million)
% 0.60/0.75 % (23726)------------------------------
% 0.60/0.75 % (23726)------------------------------
% 0.60/0.75 % (23733)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.60/0.75 % (23729)Refutation not found, incomplete strategy% (23729)------------------------------
% 0.60/0.75 % (23729)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75 % (23729)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (23729)Memory used [KB]: 1014
% 0.60/0.75 % (23729)Time elapsed: 0.004 s
% 0.60/0.75 % (23729)Instructions burned: 5 (million)
% 0.60/0.75 % (23729)------------------------------
% 0.60/0.75 % (23729)------------------------------
% 0.60/0.75 % (23730)Refutation not found, incomplete strategy% (23730)------------------------------
% 0.60/0.75 % (23730)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75 % (23737)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.60/0.75 % (23730)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (23730)Memory used [KB]: 1100
% 0.60/0.75 % (23730)Time elapsed: 0.004 s
% 0.60/0.75 % (23730)Instructions burned: 6 (million)
% 0.60/0.75 % (23730)------------------------------
% 0.60/0.75 % (23730)------------------------------
% 0.60/0.75 % (23728)Refutation not found, incomplete strategy% (23728)------------------------------
% 0.60/0.75 % (23728)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75 % (23728)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (23728)Memory used [KB]: 1090
% 0.60/0.75 % (23728)Time elapsed: 0.005 s
% 0.60/0.75 % (23728)Instructions burned: 8 (million)
% 0.60/0.75 % (23728)------------------------------
% 0.60/0.75 % (23728)------------------------------
% 0.60/0.76 % (23737)Refutation not found, incomplete strategy% (23737)------------------------------
% 0.60/0.76 % (23737)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (23737)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (23737)Memory used [KB]: 1093
% 0.60/0.76 % (23737)Time elapsed: 0.003 s
% 0.60/0.76 % (23737)Instructions burned: 8 (million)
% 0.60/0.76 % (23737)------------------------------
% 0.60/0.76 % (23737)------------------------------
% 0.60/0.76 % (23733)Refutation not found, incomplete strategy% (23733)------------------------------
% 0.60/0.76 % (23733)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (23733)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (23733)Memory used [KB]: 1084
% 0.60/0.76 % (23733)Time elapsed: 0.007 s
% 0.60/0.76 % (23733)Instructions burned: 5 (million)
% 0.60/0.76 % (23733)------------------------------
% 0.60/0.76 % (23733)------------------------------
% 0.60/0.76 % (23738)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.60/0.76 % (23741)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.60/0.76 % (23740)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.60/0.76 % (23742)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.60/0.76 % (23741)Refutation not found, incomplete strategy% (23741)------------------------------
% 0.60/0.76 % (23741)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (23741)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (23741)Memory used [KB]: 1088
% 0.60/0.76 % (23741)Time elapsed: 0.003 s
% 0.60/0.76 % (23741)Instructions burned: 8 (million)
% 0.63/0.76 % (23741)------------------------------
% 0.63/0.76 % (23741)------------------------------
% 0.63/0.76 % (23739)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.63/0.76 % (23738)Refutation not found, incomplete strategy% (23738)------------------------------
% 0.63/0.76 % (23738)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.76 % (23738)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76
% 0.63/0.76 % (23738)Memory used [KB]: 1078
% 0.63/0.76 % (23738)Time elapsed: 0.006 s
% 0.63/0.76 % (23738)Instructions burned: 9 (million)
% 0.63/0.76 % (23738)------------------------------
% 0.63/0.76 % (23738)------------------------------
% 0.63/0.76 % (23742)Refutation not found, incomplete strategy% (23742)------------------------------
% 0.63/0.76 % (23742)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.76 % (23742)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76
% 0.63/0.76 % (23742)Memory used [KB]: 1108
% 0.63/0.76 % (23742)Time elapsed: 0.004 s
% 0.63/0.76 % (23742)Instructions burned: 5 (million)
% 0.63/0.76 % (23742)------------------------------
% 0.63/0.76 % (23742)------------------------------
% 0.63/0.76 % (23740)Refutation not found, incomplete strategy% (23740)------------------------------
% 0.63/0.76 % (23740)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.76 % (23740)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76
% 0.63/0.76 % (23740)Memory used [KB]: 1090
% 0.63/0.76 % (23740)Time elapsed: 0.006 s
% 0.63/0.76 % (23740)Instructions burned: 8 (million)
% 0.63/0.76 % (23740)------------------------------
% 0.63/0.76 % (23740)------------------------------
% 0.63/0.76 % (23744)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.63/0.77 % (23747)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.63/0.77 % (23745)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.63/0.77 % (23748)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.63/0.77 % (23747)Refutation not found, incomplete strategy% (23747)------------------------------
% 0.63/0.77 % (23747)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77 % (23747)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77
% 0.63/0.77 % (23747)Memory used [KB]: 1101
% 0.63/0.77 % (23747)Time elapsed: 0.004 s
% 0.63/0.77 % (23747)Instructions burned: 5 (million)
% 0.63/0.77 % (23747)------------------------------
% 0.63/0.77 % (23747)------------------------------
% 0.63/0.77 % (23745)Refutation not found, incomplete strategy% (23745)------------------------------
% 0.63/0.77 % (23745)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77 % (23745)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77
% 0.63/0.77 % (23745)Memory used [KB]: 1021
% 0.63/0.77 % (23745)Time elapsed: 0.005 s
% 0.63/0.77 % (23745)Instructions burned: 5 (million)
% 0.63/0.77 % (23745)------------------------------
% 0.63/0.77 % (23745)------------------------------
% 0.63/0.77 % (23732)Instruction limit reached!
% 0.63/0.77 % (23732)------------------------------
% 0.63/0.77 % (23732)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77 % (23732)Termination reason: Unknown
% 0.63/0.77 % (23732)Termination phase: Saturation
% 0.63/0.77
% 0.63/0.77 % (23732)Memory used [KB]: 2030
% 0.63/0.77 % (23732)Time elapsed: 0.025 s
% 0.63/0.77 % (23732)Instructions burned: 86 (million)
% 0.63/0.77 % (23732)------------------------------
% 0.63/0.77 % (23732)------------------------------
% 0.63/0.77 % (23731)Instruction limit reached!
% 0.63/0.77 % (23731)------------------------------
% 0.63/0.77 % (23731)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77 % (23731)Termination reason: Unknown
% 0.63/0.77 % (23731)Termination phase: Saturation
% 0.63/0.77
% 0.63/0.77 % (23731)Memory used [KB]: 1523
% 0.63/0.77 % (23731)Time elapsed: 0.026 s
% 0.63/0.77 % (23731)Instructions burned: 45 (million)
% 0.63/0.77 % (23731)------------------------------
% 0.63/0.77 % (23731)------------------------------
% 0.63/0.78 % (23752)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.63/0.78 % (23744)Refutation not found, incomplete strategy% (23744)------------------------------
% 0.63/0.78 % (23744)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78 % (23744)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78
% 0.63/0.78 % (23744)Memory used [KB]: 1320
% 0.63/0.78 % (23744)Time elapsed: 0.013 s
% 0.63/0.78 % (23744)Instructions burned: 39 (million)
% 0.63/0.78 % (23744)------------------------------
% 0.63/0.78 % (23744)------------------------------
% 0.63/0.78 % (23753)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.63/0.78 % (23751)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.63/0.78 % (23754)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.63/0.78 % (23753)Refutation not found, incomplete strategy% (23753)------------------------------
% 0.63/0.78 % (23753)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78 % (23753)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78
% 0.63/0.78 % (23753)Memory used [KB]: 1091
% 0.63/0.78 % (23751)Refutation not found, incomplete strategy% (23751)------------------------------
% 0.63/0.78 % (23751)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78 % (23751)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78
% 0.63/0.78 % (23751)Memory used [KB]: 1020
% 0.63/0.78 % (23751)Time elapsed: 0.004 s
% 0.63/0.78 % (23751)Instructions burned: 4 (million)
% 0.63/0.78 % (23751)------------------------------
% 0.63/0.78 % (23751)------------------------------
% 0.63/0.78 % (23753)Time elapsed: 0.003 s
% 0.63/0.78 % (23753)Instructions burned: 8 (million)
% 0.63/0.78 % (23753)------------------------------
% 0.63/0.78 % (23753)------------------------------
% 0.63/0.78 % (23727)Instruction limit reached!
% 0.63/0.78 % (23727)------------------------------
% 0.63/0.78 % (23727)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78 % (23727)Termination reason: Unknown
% 0.63/0.78 % (23727)Termination phase: Saturation
% 0.63/0.78
% 0.63/0.78 % (23727)Memory used [KB]: 1722
% 0.63/0.78 % (23727)Time elapsed: 0.032 s
% 0.63/0.78 % (23727)Instructions burned: 52 (million)
% 0.63/0.78 % (23727)------------------------------
% 0.63/0.78 % (23727)------------------------------
% 0.63/0.78 % (23758)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2996ds/46Mi)
% 0.63/0.78 % (23756)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.63/0.78 % (23754)Refutation not found, incomplete strategy% (23754)------------------------------
% 0.63/0.78 % (23754)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78 % (23754)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78
% 0.63/0.78 % (23754)Memory used [KB]: 1105
% 0.63/0.78 % (23754)Time elapsed: 0.005 s
% 0.63/0.78 % (23754)Instructions burned: 7 (million)
% 0.63/0.78 % (23754)------------------------------
% 0.63/0.78 % (23754)------------------------------
% 0.63/0.78 % (23758)Refutation not found, incomplete strategy% (23758)------------------------------
% 0.63/0.78 % (23758)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78 % (23758)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78
% 0.63/0.78 % (23758)Memory used [KB]: 1093
% 0.63/0.78 % (23758)Time elapsed: 0.002 s
% 0.63/0.78 % (23758)Instructions burned: 5 (million)
% 0.63/0.78 % (23758)------------------------------
% 0.63/0.78 % (23758)------------------------------
% 0.63/0.78 % (23759)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2996ds/102Mi)
% 0.63/0.79 % (23762)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.63/0.79 % (23760)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2996ds/35Mi)
% 0.63/0.79 % (23761)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.63/0.79 % (23752)Instruction limit reached!
% 0.63/0.79 % (23752)------------------------------
% 0.63/0.79 % (23752)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79 % (23752)Termination reason: Unknown
% 0.63/0.79 % (23752)Termination phase: Saturation
% 0.63/0.79
% 0.63/0.79 % (23752)Memory used [KB]: 1485
% 0.63/0.79 % (23752)Time elapsed: 0.018 s
% 0.63/0.79 % (23752)Instructions burned: 33 (million)
% 0.63/0.79 % (23752)------------------------------
% 0.63/0.79 % (23752)------------------------------
% 0.63/0.80 % (23763)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.63/0.80 % (23756)Instruction limit reached!
% 0.63/0.80 % (23756)------------------------------
% 0.63/0.80 % (23756)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80 % (23756)Termination reason: Unknown
% 0.63/0.80 % (23756)Termination phase: Saturation
% 0.63/0.80
% 0.63/0.80 % (23756)Memory used [KB]: 1202
% 0.63/0.80 % (23756)Time elapsed: 0.038 s
% 0.63/0.80 % (23756)Instructions burned: 54 (million)
% 0.63/0.80 % (23756)------------------------------
% 0.63/0.80 % (23756)------------------------------
% 0.63/0.80 % (23763)Refutation not found, incomplete strategy% (23763)------------------------------
% 0.63/0.80 % (23763)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80 % (23763)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80
% 0.63/0.80 % (23763)Memory used [KB]: 1011
% 0.63/0.80 % (23763)Time elapsed: 0.005 s
% 0.63/0.80 % (23763)Instructions burned: 5 (million)
% 0.63/0.80 % (23763)------------------------------
% 0.63/0.80 % (23763)------------------------------
% 0.63/0.80 % (23764)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.63/0.80 % (23764)Refutation not found, incomplete strategy% (23764)------------------------------
% 0.63/0.80 % (23764)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80 % (23764)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80
% 0.63/0.80 % (23764)Memory used [KB]: 1108
% 0.63/0.80 % (23764)Time elapsed: 0.003 s
% 0.63/0.80 % (23764)Instructions burned: 6 (million)
% 0.63/0.80 % (23764)------------------------------
% 0.63/0.80 % (23764)------------------------------
% 0.63/0.80 % (23760)Instruction limit reached!
% 0.63/0.80 % (23760)------------------------------
% 0.63/0.80 % (23760)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80 % (23760)Termination reason: Unknown
% 0.63/0.80 % (23760)Termination phase: Saturation
% 0.63/0.80
% 0.63/0.80 % (23760)Memory used [KB]: 1180
% 0.63/0.80 % (23760)Time elapsed: 0.042 s
% 0.63/0.80 % (23760)Instructions burned: 35 (million)
% 0.63/0.80 % (23760)------------------------------
% 0.63/0.80 % (23760)------------------------------
% 0.63/0.80 % (23765)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.63/0.80 % (23766)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.88/0.81 % (23767)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.88/0.82 % (23748)Instruction limit reached!
% 0.88/0.82 % (23748)------------------------------
% 0.88/0.82 % (23748)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.88/0.82 % (23748)Termination reason: Unknown
% 0.88/0.82 % (23748)Termination phase: Saturation
% 0.88/0.82
% 0.88/0.82 % (23748)Memory used [KB]: 2213
% 0.88/0.82 % (23748)Time elapsed: 0.049 s
% 0.88/0.82 % (23748)Instructions burned: 93 (million)
% 0.88/0.82 % (23748)------------------------------
% 0.88/0.82 % (23748)------------------------------
% 0.88/0.82 % (23768)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2995ds/80Mi)
% 0.88/0.82 % (23762)Instruction limit reached!
% 0.88/0.82 % (23762)------------------------------
% 0.88/0.82 % (23762)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.88/0.82 % (23762)Termination reason: Unknown
% 0.88/0.82 % (23762)Termination phase: Saturation
% 0.88/0.82
% 0.88/0.82 % (23762)Memory used [KB]: 2295
% 0.88/0.82 % (23762)Time elapsed: 0.035 s
% 0.88/0.82 % (23762)Instructions burned: 109 (million)
% 0.88/0.82 % (23762)------------------------------
% 0.88/0.82 % (23762)------------------------------
% 0.88/0.82 % (23769)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2995ds/37Mi)
% 0.88/0.82 % (23761)Instruction limit reached!
% 0.88/0.82 % (23761)------------------------------
% 0.88/0.82 % (23761)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.88/0.82 % (23761)Termination reason: Unknown
% 0.88/0.82 % (23761)Termination phase: Saturation
% 0.88/0.82
% 0.88/0.82 % (23761)Memory used [KB]: 1445
% 0.88/0.82 % (23761)Time elapsed: 0.040 s
% 0.88/0.82 % (23761)Instructions burned: 88 (million)
% 0.88/0.82 % (23761)------------------------------
% 0.88/0.82 % (23761)------------------------------
% 0.88/0.83 % (23765)Instruction limit reached!
% 0.88/0.83 % (23765)------------------------------
% 0.88/0.83 % (23765)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.88/0.83 % (23765)Termination reason: Unknown
% 0.88/0.83 % (23765)Termination phase: Saturation
% 0.88/0.83
% 0.88/0.83 % (23765)Memory used [KB]: 1704
% 0.88/0.83 % (23765)Time elapsed: 0.024 s
% 0.88/0.83 % (23765)Instructions burned: 41 (million)
% 0.88/0.83 % (23765)------------------------------
% 0.88/0.83 % (23765)------------------------------
% 0.88/0.83 % (23770)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2995ds/55Mi)
% 0.88/0.83 % (23771)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2995ds/47Mi)
% 0.88/0.83 % (23769)Instruction limit reached!
% 0.88/0.83 % (23769)------------------------------
% 0.88/0.83 % (23769)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.88/0.83 % (23769)Termination reason: Unknown
% 0.88/0.83 % (23769)Termination phase: Saturation
% 0.88/0.83
% 0.88/0.83 % (23769)Memory used [KB]: 1642
% 0.88/0.83 % (23769)Time elapsed: 0.013 s
% 0.88/0.83 % (23769)Instructions burned: 37 (million)
% 0.88/0.83 % (23769)------------------------------
% 0.88/0.83 % (23769)------------------------------
% 0.88/0.84 % (23759)Instruction limit reached!
% 0.88/0.84 % (23759)------------------------------
% 0.88/0.84 % (23759)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.88/0.84 % (23759)Termination reason: Unknown
% 0.88/0.84 % (23759)Termination phase: Saturation
% 0.88/0.84
% 0.88/0.84 % (23759)Memory used [KB]: 2451
% 0.88/0.84 % (23759)Time elapsed: 0.077 s
% 0.88/0.84 % (23759)Instructions burned: 103 (million)
% 0.88/0.84 % (23759)------------------------------
% 0.88/0.84 % (23759)------------------------------
% 0.88/0.84 % (23772)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2995ds/32Mi)
% 0.88/0.84 % (23772)Refutation not found, incomplete strategy% (23772)------------------------------
% 0.88/0.84 % (23772)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.88/0.84 % (23772)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.84
% 0.88/0.84 % (23772)Memory used [KB]: 1084
% 0.88/0.84 % (23772)Time elapsed: 0.002 s
% 0.88/0.84 % (23772)Instructions burned: 5 (million)
% 0.88/0.84 % (23772)------------------------------
% 0.88/0.84 % (23772)------------------------------
% 1.11/0.84 % (23773)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2995ds/132Mi)
% 1.11/0.84 % (23774)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2995ds/54Mi)
% 1.11/0.84 % (23774)Refutation not found, incomplete strategy% (23774)------------------------------
% 1.11/0.84 % (23774)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.84 % (23774)Termination reason: Refutation not found, incomplete strategy
% 1.11/0.84
% 1.11/0.84 % (23774)Memory used [KB]: 1068
% 1.11/0.84 % (23774)Time elapsed: 0.002 s
% 1.11/0.84 % (23774)Instructions burned: 6 (million)
% 1.11/0.84 % (23774)------------------------------
% 1.11/0.84 % (23774)------------------------------
% 1.11/0.84 % (23773)Refutation not found, incomplete strategy% (23773)------------------------------
% 1.11/0.84 % (23773)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.84 % (23773)Termination reason: Refutation not found, incomplete strategy
% 1.11/0.84
% 1.11/0.84 % (23773)Memory used [KB]: 974
% 1.11/0.84 % (23773)Time elapsed: 0.005 s
% 1.11/0.84 % (23773)Instructions burned: 7 (million)
% 1.11/0.84 % (23773)------------------------------
% 1.11/0.84 % (23773)------------------------------
% 1.11/0.85 % (23775)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2995ds/82Mi)
% 1.11/0.85 % (23776)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2995ds/119Mi)
% 1.11/0.85 % (23739)Instruction limit reached!
% 1.11/0.85 % (23739)------------------------------
% 1.11/0.85 % (23739)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.85 % (23739)Termination reason: Unknown
% 1.11/0.85 % (23739)Termination phase: Saturation
% 1.11/0.85
% 1.11/0.85 % (23739)Memory used [KB]: 2563
% 1.11/0.85 % (23739)Time elapsed: 0.091 s
% 1.11/0.85 % (23739)Instructions burned: 210 (million)
% 1.11/0.85 % (23739)------------------------------
% 1.11/0.85 % (23739)------------------------------
% 1.11/0.85 % (23777)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2995ds/177Mi)
% 1.11/0.85 % (23768)Instruction limit reached!
% 1.11/0.85 % (23768)------------------------------
% 1.11/0.85 % (23768)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.85 % (23768)Termination reason: Unknown
% 1.11/0.85 % (23768)Termination phase: Saturation
% 1.11/0.85
% 1.11/0.85 % (23768)Memory used [KB]: 1271
% 1.11/0.85 % (23768)Time elapsed: 0.036 s
% 1.11/0.85 % (23768)Instructions burned: 80 (million)
% 1.11/0.85 % (23768)------------------------------
% 1.11/0.85 % (23768)------------------------------
% 1.11/0.86 % (23770)Instruction limit reached!
% 1.11/0.86 % (23770)------------------------------
% 1.11/0.86 % (23770)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.86 % (23770)Termination reason: Unknown
% 1.11/0.86 % (23770)Termination phase: Saturation
% 1.11/0.86
% 1.11/0.86 % (23770)Memory used [KB]: 1589
% 1.11/0.86 % (23770)Time elapsed: 0.028 s
% 1.11/0.86 % (23770)Instructions burned: 57 (million)
% 1.11/0.86 % (23770)------------------------------
% 1.11/0.86 % (23770)------------------------------
% 1.11/0.86 % (23771)Instruction limit reached!
% 1.11/0.86 % (23771)------------------------------
% 1.11/0.86 % (23771)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.86 % (23771)Termination reason: Unknown
% 1.11/0.86 % (23771)Termination phase: Saturation
% 1.11/0.86
% 1.11/0.86 % (23771)Memory used [KB]: 1585
% 1.11/0.86 % (23771)Time elapsed: 0.027 s
% 1.11/0.86 % (23771)Instructions burned: 47 (million)
% 1.11/0.86 % (23771)------------------------------
% 1.11/0.86 % (23771)------------------------------
% 1.11/0.86 % (23778)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on Vampire---4 for (2995ds/117Mi)
% 1.11/0.86 % (23779)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on Vampire---4 for (2995ds/49Mi)
% 1.11/0.86 % (23780)lrs-1011_8:1_sil=2000:spb=goal:urr=on:sac=on:i=51:afp=10000:fsr=off:ss=axioms:avsq=on:avsqr=17819,524288:bd=off:bsd=on:fd=off:sims=off:rawr=on:alpa=true:bsr=on:aer=off_0 on Vampire---4 for (2995ds/51Mi)
% 1.11/0.87 % (23775)Instruction limit reached!
% 1.11/0.87 % (23775)------------------------------
% 1.11/0.87 % (23775)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.87 % (23775)Termination reason: Unknown
% 1.11/0.87 % (23775)Termination phase: Saturation
% 1.11/0.87
% 1.11/0.87 % (23775)Memory used [KB]: 1447
% 1.11/0.87 % (23775)Time elapsed: 0.023 s
% 1.11/0.87 % (23775)Instructions burned: 84 (million)
% 1.11/0.87 % (23775)------------------------------
% 1.11/0.87 % (23775)------------------------------
% 1.11/0.87 % (23781)lrs+1011_1:1024_sil=8000:sp=unary_first:nwc=10.0:st=3.0:s2a=on:i=149:s2at=5.0:awrs=converge:awrsf=390:ep=R:av=off:ss=axioms:s2agt=32_0 on Vampire---4 for (2995ds/149Mi)
% 1.11/0.87 % (23781)Refutation not found, incomplete strategy% (23781)------------------------------
% 1.11/0.87 % (23781)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.87 % (23781)Termination reason: Refutation not found, incomplete strategy
% 1.11/0.87
% 1.11/0.87 % (23781)Memory used [KB]: 986
% 1.11/0.87 % (23781)Time elapsed: 0.002 s
% 1.11/0.87 % (23781)Instructions burned: 6 (million)
% 1.11/0.87 % (23781)------------------------------
% 1.11/0.87 % (23781)------------------------------
% 1.11/0.87 % (23782)lrs+11_10:1_to=lpo:drc=off:sil=4000:sp=const_min:fd=preordered:rp=on:st=3.0:s2a=on:i=56:s2at=2.0:ss=axioms:er=known:sup=off:sd=1_0 on Vampire---4 for (2995ds/56Mi)
% 1.11/0.88 % (23782)Refutation not found, incomplete strategy% (23782)------------------------------
% 1.11/0.88 % (23782)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.88 % (23782)Termination reason: Refutation not found, incomplete strategy
% 1.11/0.88
% 1.11/0.88 % (23782)Memory used [KB]: 1014
% 1.11/0.88 % (23782)Time elapsed: 0.002 s
% 1.11/0.88 % (23782)Instructions burned: 5 (million)
% 1.11/0.88 % (23782)------------------------------
% 1.11/0.88 % (23782)------------------------------
% 1.11/0.88 % (23783)lrs+1011_4:1_bsr=on:sil=32000:sos=all:urr=on:br=off:s2a=on:i=289:s2at=2.0:bd=off:gsp=on:ss=axioms:sgt=8:sd=1:fsr=off_0 on Vampire---4 for (2995ds/289Mi)
% 1.11/0.88 % (23767)Instruction limit reached!
% 1.11/0.88 % (23767)------------------------------
% 1.11/0.88 % (23767)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.88 % (23767)Termination reason: Unknown
% 1.11/0.88 % (23767)Termination phase: Saturation
% 1.11/0.88
% 1.11/0.88 % (23767)Memory used [KB]: 2497
% 1.11/0.88 % (23767)Time elapsed: 0.078 s
% 1.11/0.88 % (23767)Instructions burned: 162 (million)
% 1.11/0.88 % (23767)------------------------------
% 1.11/0.88 % (23767)------------------------------
% 1.11/0.89 % (23779)Instruction limit reached!
% 1.11/0.89 % (23779)------------------------------
% 1.11/0.89 % (23779)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.89 % (23779)Termination reason: Unknown
% 1.11/0.89 % (23779)Termination phase: Saturation
% 1.11/0.89
% 1.11/0.89 % (23779)Memory used [KB]: 1570
% 1.11/0.89 % (23779)Time elapsed: 0.028 s
% 1.11/0.89 % (23779)Instructions burned: 49 (million)
% 1.11/0.89 % (23779)------------------------------
% 1.11/0.89 % (23779)------------------------------
% 1.11/0.89 % (23784)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=206:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on Vampire---4 for (2994ds/206Mi)
% 1.11/0.89 % (23780)Instruction limit reached!
% 1.11/0.89 % (23780)------------------------------
% 1.11/0.89 % (23780)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.89 % (23780)Termination reason: Unknown
% 1.11/0.89 % (23780)Termination phase: Saturation
% 1.11/0.89
% 1.11/0.89 % (23780)Memory used [KB]: 2011
% 1.11/0.89 % (23780)Time elapsed: 0.029 s
% 1.11/0.89 % (23780)Instructions burned: 51 (million)
% 1.11/0.89 % (23780)------------------------------
% 1.11/0.89 % (23780)------------------------------
% 1.11/0.89 % (23776)Instruction limit reached!
% 1.11/0.89 % (23776)------------------------------
% 1.11/0.89 % (23776)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.89 % (23776)Termination reason: Unknown
% 1.11/0.89 % (23776)Termination phase: Saturation
% 1.11/0.89
% 1.11/0.89 % (23776)Memory used [KB]: 1548
% 1.11/0.89 % (23776)Time elapsed: 0.043 s
% 1.11/0.89 % (23776)Instructions burned: 121 (million)
% 1.11/0.89 % (23776)------------------------------
% 1.11/0.89 % (23776)------------------------------
% 1.11/0.89 % (23785)ott+1004_1:2_bsr=unit_only:slsqr=1,8:to=lpo:sil=2000:plsqc=2:plsq=on:sp=reverse_frequency:acc=on:nwc=6.4:slsq=on:st=2.0:i=50:s2at=3.0:bd=off:ins=4:ss=axioms:sgt=10:plsql=on:rawr=on:aer=off:slsqc=2:afp=4000:afq=2.0:bce=on:gs=on:lma=on:br=off:gsaa=full_model:add=off_0 on Vampire---4 for (2994ds/50Mi)
% 1.11/0.89 % (23786)lrs+1011_1:1_to=lpo:drc=off:sil=2000:tgt=full:i=1483:fd=preordered_0 on Vampire---4 for (2994ds/1483Mi)
% 1.11/0.89 % (23787)dis+1010_1:3_sil=2000:tgt=ground:sp=const_max:nwc=5.0:s2a=on:i=67:nm=16:av=off:bd=off_0 on Vampire---4 for (2994ds/67Mi)
% 1.11/0.90 % (23778)Instruction limit reached!
% 1.11/0.90 % (23778)------------------------------
% 1.11/0.90 % (23778)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.90 % (23778)Termination reason: Unknown
% 1.11/0.90 % (23778)Termination phase: Saturation
% 1.11/0.90
% 1.11/0.90 % (23778)Memory used [KB]: 1873
% 1.11/0.90 % (23778)Time elapsed: 0.045 s
% 1.11/0.90 % (23778)Instructions burned: 117 (million)
% 1.11/0.90 % (23778)------------------------------
% 1.11/0.90 % (23778)------------------------------
% 1.11/0.90 % (23788)lrs+1011_1:1_sil=64000:tgt=full:plsqc=1:plsq=on:plsqr=32,1:sp=occurrence:sos=on:lsd=20:st=5.0:i=67:sd=2:nm=4:av=off:fsr=off:ss=axioms:er=tagged:gs=on:sgt=8:nwc=3.0:bd=off_0 on Vampire---4 for (2994ds/67Mi)
% 1.11/0.91 % (23785)Instruction limit reached!
% 1.11/0.91 % (23785)------------------------------
% 1.11/0.91 % (23785)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.91 % (23785)Termination reason: Unknown
% 1.11/0.91 % (23785)Termination phase: Saturation
% 1.11/0.91
% 1.11/0.91 % (23785)Memory used [KB]: 1760
% 1.11/0.91 % (23785)Time elapsed: 0.018 s
% 1.11/0.91 % (23785)Instructions burned: 50 (million)
% 1.11/0.91 % (23785)------------------------------
% 1.11/0.91 % (23785)------------------------------
% 1.11/0.91 % (23788)Refutation not found, incomplete strategy% (23788)------------------------------
% 1.11/0.91 % (23788)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.91 % (23788)Termination reason: Refutation not found, incomplete strategy
% 1.11/0.91
% 1.11/0.91 % (23788)Memory used [KB]: 1078
% 1.11/0.91 % (23788)Time elapsed: 0.004 s
% 1.11/0.91 % (23788)Instructions burned: 10 (million)
% 1.11/0.91 % (23788)------------------------------
% 1.11/0.91 % (23788)------------------------------
% 1.11/0.91 % (23789)dis+1002_1:1024_sil=2000:sac=on:slsq=on:i=52:nm=16:sfv=off:slsqc=1:urr=ec_only:bd=off_0 on Vampire---4 for (2994ds/52Mi)
% 1.11/0.91 % (23787)Instruction limit reached!
% 1.11/0.91 % (23787)------------------------------
% 1.11/0.91 % (23787)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.91 % (23787)Termination reason: Unknown
% 1.11/0.91 % (23787)Termination phase: Saturation
% 1.11/0.91
% 1.11/0.91 % (23787)Memory used [KB]: 1323
% 1.11/0.91 % (23787)Time elapsed: 0.018 s
% 1.11/0.91 % (23787)Instructions burned: 70 (million)
% 1.11/0.91 % (23787)------------------------------
% 1.11/0.91 % (23787)------------------------------
% 1.11/0.91 % (23790)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sos=on:i=366:sd=2:ss=axioms_0 on Vampire---4 for (2994ds/366Mi)
% 1.11/0.91 % (23791)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=863:ss=axioms:aac=none:br=off:bd=preordered_0 on Vampire---4 for (2994ds/863Mi)
% 1.11/0.91 % (23766)First to succeed.
% 1.11/0.92 % (23777)Instruction limit reached!
% 1.11/0.92 % (23777)------------------------------
% 1.11/0.92 % (23777)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.92 % (23777)Termination reason: Unknown
% 1.11/0.92 % (23777)Termination phase: Saturation
% 1.11/0.92
% 1.11/0.92 % (23777)Memory used [KB]: 2955
% 1.11/0.92 % (23777)Time elapsed: 0.064 s
% 1.11/0.92 % (23777)Instructions burned: 178 (million)
% 1.11/0.92 % (23777)------------------------------
% 1.11/0.92 % (23777)------------------------------
% 1.11/0.92 % (23766)Refutation found. Thanks to Tanya!
% 1.11/0.92 % SZS status Unsatisfiable for Vampire---4
% 1.11/0.92 % SZS output start Proof for Vampire---4
% See solution above
% 1.11/0.92 % (23766)------------------------------
% 1.11/0.92 % (23766)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.92 % (23766)Termination reason: Refutation
% 1.11/0.92
% 1.11/0.92 % (23766)Memory used [KB]: 3190
% 1.11/0.92 % (23766)Time elapsed: 0.112 s
% 1.11/0.92 % (23766)Instructions burned: 363 (million)
% 1.11/0.92 % (23766)------------------------------
% 1.11/0.92 % (23766)------------------------------
% 1.11/0.92 % (23565)Success in time 0.537 s
% 1.11/0.92 % Vampire---4.8 exiting
%------------------------------------------------------------------------------