TSTP Solution File: GRP273-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP273-1 : 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 02:28:21 EDT 2024
% Result : Unsatisfiable 1.61s 1.06s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 109
% Syntax : Number of formulae : 685 ( 48 unt; 0 def)
% Number of atoms : 2990 ( 635 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 4419 (2114 ~;2270 |; 0 &)
% ( 35 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 48 ( 46 usr; 36 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 27 con; 0-2 aty)
% Number of variables : 218 ( 218 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4139,plain,
$false,
inference(avatar_sat_refutation,[],[f143,f148,f153,f158,f163,f168,f173,f178,f183,f188,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f207,f209,f210,f211,f212,f213,f221,f222,f223,f224,f225,f226,f227,f229,f235,f236,f237,f238,f239,f240,f241,f242,f243,f244,f264,f279,f468,f539,f568,f598,f1062,f1880,f2027,f2248,f2369,f2587,f2623,f2666,f2965,f3000,f3053,f3055,f3108,f3114,f3120,f3128,f3136,f3139,f3145,f3429,f3626,f3677,f3847,f3906,f3953,f3964,f3979,f4069,f4077,f4121,f4125]) ).
fof(f4125,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_80
| ~ spl26_82
| ~ spl26_100 ),
inference(avatar_contradiction_clause,[],[f4124]) ).
fof(f4124,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_80
| ~ spl26_82
| ~ spl26_100 ),
inference(subsumption_resolution,[],[f4109,f4119]) ).
fof(f4119,plain,
( ! [X0] :
( inverse(X0) != X0
| inverse(X0) != sk_c11 )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_82
| ~ spl26_100 ),
inference(forward_demodulation,[],[f4116,f4105]) ).
fof(f4105,plain,
( ! [X0] : multiply(X0,sk_c11) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_82 ),
inference(backward_demodulation,[],[f3856,f2093]) ).
fof(f2093,plain,
( sk_c11 = sk_c6
| ~ spl26_82 ),
inference(avatar_component_clause,[],[f2092]) ).
fof(f2092,plain,
( spl26_82
<=> sk_c11 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_82])]) ).
fof(f3856,plain,
( ! [X0] : multiply(X0,sk_c6) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f1953,f3795]) ).
fof(f3795,plain,
( identity = sk_c6
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f3152,f3781]) ).
fof(f3781,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f3769,f3778]) ).
fof(f3778,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_10 ),
inference(forward_demodulation,[],[f3772,f3771]) ).
fof(f3771,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c10,X0)
| ~ spl26_2
| ~ spl26_6
| ~ spl26_7
| ~ spl26_10 ),
inference(backward_demodulation,[],[f3584,f3768]) ).
fof(f3768,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl26_6
| ~ spl26_7
| ~ spl26_10 ),
inference(forward_demodulation,[],[f3762,f3218]) ).
fof(f3218,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
| ~ spl26_10 ),
inference(superposition,[],[f301,f3161]) ).
fof(f3161,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl26_10 ),
inference(backward_demodulation,[],[f2259,f182]) ).
fof(f182,plain,
( sk_c8 = sF20
| ~ spl26_10 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl26_10
<=> sk_c8 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_10])]) ).
fof(f2259,plain,
sk_c6 = inverse(sF20),
inference(backward_demodulation,[],[f1946,f1953]) ).
fof(f1946,plain,
sk_c6 = multiply(inverse(sF20),identity),
inference(superposition,[],[f301,f856]) ).
fof(f856,plain,
identity = multiply(sF20,sk_c6),
inference(superposition,[],[f2,f86]) ).
fof(f86,plain,
inverse(sk_c6) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',left_inverse) ).
fof(f301,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f289,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',left_identity) ).
fof(f289,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',associativity) ).
fof(f3762,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl26_6
| ~ spl26_7
| ~ spl26_10 ),
inference(backward_demodulation,[],[f3579,f3754]) ).
fof(f3754,plain,
( sk_c5 = sk_c6
| ~ spl26_7
| ~ spl26_10 ),
inference(forward_demodulation,[],[f3753,f3161]) ).
fof(f3753,plain,
( sk_c5 = inverse(sk_c8)
| ~ spl26_7 ),
inference(forward_demodulation,[],[f3751,f1953]) ).
fof(f3751,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl26_7 ),
inference(superposition,[],[f301,f3182]) ).
fof(f3182,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl26_7 ),
inference(backward_demodulation,[],[f2325,f167]) ).
fof(f167,plain,
( sk_c8 = sF17
| ~ spl26_7 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl26_7
<=> sk_c8 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).
fof(f2325,plain,
identity = multiply(sF17,sk_c5),
inference(superposition,[],[f2,f80]) ).
fof(f80,plain,
inverse(sk_c5) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f3579,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl26_6 ),
inference(superposition,[],[f3,f3184]) ).
fof(f3184,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl26_6 ),
inference(backward_demodulation,[],[f78,f162]) ).
fof(f162,plain,
( sk_c11 = sF16
| ~ spl26_6 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl26_6
<=> sk_c11 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).
fof(f78,plain,
multiply(sk_c5,sk_c8) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f3584,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl26_2 ),
inference(superposition,[],[f3,f3203]) ).
fof(f3203,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl26_2 ),
inference(backward_demodulation,[],[f69,f142]) ).
fof(f142,plain,
( sk_c10 = sF11
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl26_2
<=> sk_c10 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
fof(f69,plain,
multiply(sk_c3,sk_c11) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f3772,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_10 ),
inference(backward_demodulation,[],[f3216,f3768]) ).
fof(f3216,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl26_3 ),
inference(superposition,[],[f301,f3202]) ).
fof(f3202,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl26_3 ),
inference(backward_demodulation,[],[f72,f147]) ).
fof(f147,plain,
( sk_c11 = sF13
| ~ spl26_3 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl26_3
<=> sk_c11 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).
fof(f72,plain,
inverse(sk_c3) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f3769,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c10,X0)) = X0
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f3228,f3768]) ).
fof(f3228,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,multiply(sk_c10,X0))
| ~ spl26_8 ),
inference(superposition,[],[f3,f3175]) ).
fof(f3175,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl26_8 ),
inference(backward_demodulation,[],[f82,f172]) ).
fof(f172,plain,
( sk_c11 = sF18
| ~ spl26_8 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl26_8
<=> sk_c11 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_8])]) ).
fof(f82,plain,
multiply(sk_c8,sk_c10) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f3152,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl26_10 ),
inference(backward_demodulation,[],[f856,f182]) ).
fof(f1953,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[],[f1922,f1923]) ).
fof(f1923,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f301,f301]) ).
fof(f1922,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f301,f2]) ).
fof(f4116,plain,
( ! [X0] :
( inverse(X0) != sk_c11
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_82
| ~ spl26_100 ),
inference(backward_demodulation,[],[f2638,f4105]) ).
fof(f2638,plain,
( ! [X0] :
( sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl26_100 ),
inference(avatar_component_clause,[],[f2637]) ).
fof(f2637,plain,
( spl26_100
<=> ! [X0] :
( sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_100])]) ).
fof(f4109,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl26_10
| ~ spl26_80
| ~ spl26_82 ),
inference(backward_demodulation,[],[f4007,f2093]) ).
fof(f4007,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl26_10
| ~ spl26_80 ),
inference(backward_demodulation,[],[f3151,f2075]) ).
fof(f2075,plain,
( sk_c11 = sk_c8
| ~ spl26_80 ),
inference(avatar_component_clause,[],[f2074]) ).
fof(f2074,plain,
( spl26_80
<=> sk_c11 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_80])]) ).
fof(f3151,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl26_10 ),
inference(backward_demodulation,[],[f86,f182]) ).
fof(f4121,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| spl26_12
| ~ spl26_82 ),
inference(avatar_contradiction_clause,[],[f4120]) ).
fof(f4120,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| spl26_12
| ~ spl26_82 ),
inference(subsumption_resolution,[],[f4118,f191]) ).
fof(f191,plain,
( sk_c11 != sF22
| spl26_12 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f190,plain,
( spl26_12
<=> sk_c11 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).
fof(f4118,plain,
( sk_c11 = sF22
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_82 ),
inference(backward_demodulation,[],[f3829,f4105]) ).
fof(f3829,plain,
( sk_c11 = multiply(sF22,sk_c11)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f3716,f3798]) ).
fof(f3798,plain,
( sk_c11 = sk_c10
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f3229,f3787]) ).
fof(f3787,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f3218,f3781]) ).
fof(f3229,plain,
( sk_c10 = multiply(sk_c6,sk_c11)
| ~ spl26_8
| ~ spl26_10 ),
inference(forward_demodulation,[],[f3227,f3161]) ).
fof(f3227,plain,
( sk_c10 = multiply(inverse(sk_c8),sk_c11)
| ~ spl26_8 ),
inference(superposition,[],[f301,f3175]) ).
fof(f3716,plain,
( sk_c11 = multiply(sF22,sk_c10)
| ~ spl26_1 ),
inference(backward_demodulation,[],[f3495,f90]) ).
fof(f90,plain,
inverse(sk_c1) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f3495,plain,
( sk_c11 = multiply(inverse(sk_c1),sk_c10)
| ~ spl26_1 ),
inference(superposition,[],[f301,f775]) ).
fof(f775,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl26_1 ),
inference(forward_demodulation,[],[f70,f138]) ).
fof(f138,plain,
( sk_c10 = sF12
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl26_1
<=> sk_c10 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).
fof(f70,plain,
multiply(sk_c1,sk_c11) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f4077,plain,
( spl26_82
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_62
| ~ spl26_80
| ~ spl26_90 ),
inference(avatar_split_clause,[],[f4076,f2545,f2074,f1448,f180,f170,f165,f160,f145,f140,f2092]) ).
fof(f1448,plain,
( spl26_62
<=> sF20 = inverse(sF20) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_62])]) ).
fof(f2545,plain,
( spl26_90
<=> identity = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_90])]) ).
fof(f4076,plain,
( sk_c11 = sk_c6
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_62
| ~ spl26_80
| ~ spl26_90 ),
inference(forward_demodulation,[],[f4050,f4007]) ).
fof(f4050,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_62
| ~ spl26_90 ),
inference(backward_demodulation,[],[f1449,f4049]) ).
fof(f4049,plain,
( sk_c6 = sF20
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_90 ),
inference(forward_demodulation,[],[f2546,f3795]) ).
fof(f2546,plain,
( identity = sF20
| ~ spl26_90 ),
inference(avatar_component_clause,[],[f2545]) ).
fof(f1449,plain,
( sF20 = inverse(sF20)
| ~ spl26_62 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f4069,plain,
( spl26_82
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_10
| ~ spl26_11
| ~ spl26_80 ),
inference(avatar_split_clause,[],[f4035,f2074,f185,f180,f175,f170,f165,f160,f145,f140,f2092]) ).
fof(f175,plain,
( spl26_9
<=> sk_c6 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_9])]) ).
fof(f185,plain,
( spl26_11
<=> sk_c6 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_11])]) ).
fof(f4035,plain,
( sk_c11 = sk_c6
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_10
| ~ spl26_11
| ~ spl26_80 ),
inference(forward_demodulation,[],[f3806,f2075]) ).
fof(f3806,plain,
( sk_c8 = sk_c6
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f3150,f3796]) ).
fof(f3796,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_10 ),
inference(backward_demodulation,[],[f3213,f3787]) ).
fof(f3213,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl26_9 ),
inference(superposition,[],[f301,f3172]) ).
fof(f3172,plain,
( inverse(sk_c7) = sk_c6
| ~ spl26_9 ),
inference(backward_demodulation,[],[f84,f177]) ).
fof(f177,plain,
( sk_c6 = sF19
| ~ spl26_9 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f84,plain,
inverse(sk_c7) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f3150,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl26_11 ),
inference(backward_demodulation,[],[f88,f187]) ).
fof(f187,plain,
( sk_c6 = sF21
| ~ spl26_11 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f88,plain,
multiply(sk_c7,sk_c8) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f3979,plain,
( spl26_100
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_21 ),
inference(avatar_split_clause,[],[f3978,f262,f180,f170,f165,f160,f155,f150,f145,f140,f2637]) ).
fof(f150,plain,
( spl26_4
<=> sk_c9 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_4])]) ).
fof(f155,plain,
( spl26_5
<=> sk_c10 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).
fof(f262,plain,
( spl26_21
<=> ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sP1(multiply(X7,inverse(X7)))
| sP0(multiply(inverse(X7),sk_c10))
| inverse(X9) != multiply(X9,inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_21])]) ).
fof(f3978,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(multiply(X0,sk_c11)) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_21 ),
inference(forward_demodulation,[],[f3977,f3798]) ).
fof(f3977,plain,
( ! [X0] :
( sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_21 ),
inference(forward_demodulation,[],[f3976,f3798]) ).
fof(f3976,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f3975,f55]) ).
fof(f55,plain,
~ sP0(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f3975,plain,
( ! [X0] :
( sP0(sk_c11)
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_21 ),
inference(forward_demodulation,[],[f3974,f3768]) ).
fof(f3974,plain,
( ! [X0] :
( sP0(multiply(sk_c11,sk_c11))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_21 ),
inference(forward_demodulation,[],[f3973,f3798]) ).
fof(f3973,plain,
( ! [X0] :
( sP0(multiply(sk_c10,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f3972,f56]) ).
fof(f56,plain,
~ sP1(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f3972,plain,
( ! [X0] :
( sP1(sk_c11)
| sP0(multiply(sk_c10,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_21 ),
inference(forward_demodulation,[],[f3262,f3873]) ).
fof(f3873,plain,
( sk_c11 = sk_c9
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f3867,f3869]) ).
fof(f3869,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_10 ),
inference(forward_demodulation,[],[f3783,f3782]) ).
fof(f3782,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_6
| ~ spl26_7
| ~ spl26_10 ),
inference(backward_demodulation,[],[f3240,f3778]) ).
fof(f3240,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c10,X0))
| ~ spl26_4 ),
inference(superposition,[],[f3,f3200]) ).
fof(f3200,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl26_4 ),
inference(backward_demodulation,[],[f74,f152]) ).
fof(f152,plain,
( sk_c9 = sF14
| ~ spl26_4 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f74,plain,
multiply(sk_c4,sk_c10) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f3783,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_10 ),
inference(backward_demodulation,[],[f3198,f3778]) ).
fof(f3198,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl26_5 ),
inference(backward_demodulation,[],[f3148,f157]) ).
fof(f157,plain,
( sk_c10 = sF15
| ~ spl26_5 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f3148,plain,
! [X0] : multiply(sF15,multiply(sk_c4,X0)) = X0,
inference(forward_demodulation,[],[f1866,f1]) ).
fof(f1866,plain,
! [X0] : multiply(identity,X0) = multiply(sF15,multiply(sk_c4,X0)),
inference(superposition,[],[f3,f853]) ).
fof(f853,plain,
identity = multiply(sF15,sk_c4),
inference(superposition,[],[f2,f76]) ).
fof(f76,plain,
inverse(sk_c4) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f3867,plain,
( sk_c9 = multiply(sk_c9,sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f3827,f3782]) ).
fof(f3827,plain,
( sk_c9 = multiply(sk_c4,sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f3200,f3798]) ).
fof(f3262,plain,
( ! [X0] :
( sP1(sk_c9)
| sP0(multiply(sk_c10,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_4
| ~ spl26_5
| ~ spl26_21 ),
inference(forward_demodulation,[],[f3249,f3200]) ).
fof(f3249,plain,
( ! [X0] :
( sP0(multiply(sk_c10,sk_c10))
| sP1(multiply(sk_c4,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_5
| ~ spl26_21 ),
inference(superposition,[],[f263,f3193]) ).
fof(f3193,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl26_5 ),
inference(backward_demodulation,[],[f76,f157]) ).
fof(f263,plain,
( ! [X9,X7] :
( sP0(multiply(inverse(X7),sk_c10))
| sP1(multiply(X7,inverse(X7)))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl26_21 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f3964,plain,
( spl26_80
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(avatar_split_clause,[],[f3801,f180,f170,f165,f160,f145,f140,f2074]) ).
fof(f3801,plain,
( sk_c11 = sk_c8
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f3761,f3787]) ).
fof(f3761,plain,
( sk_c11 = multiply(sk_c6,sk_c8)
| ~ spl26_6
| ~ spl26_7
| ~ spl26_10 ),
inference(backward_demodulation,[],[f3184,f3754]) ).
fof(f3953,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_69
| spl26_90 ),
inference(avatar_contradiction_clause,[],[f3952]) ).
fof(f3952,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_69
| spl26_90 ),
inference(subsumption_resolution,[],[f3845,f3860]) ).
fof(f3860,plain,
( sk_c8 != sk_c6
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| spl26_90 ),
inference(backward_demodulation,[],[f3718,f3795]) ).
fof(f3718,plain,
( identity != sk_c8
| ~ spl26_10
| spl26_90 ),
inference(forward_demodulation,[],[f2547,f182]) ).
fof(f2547,plain,
( identity != sF20
| spl26_90 ),
inference(avatar_component_clause,[],[f2545]) ).
fof(f3845,plain,
( sk_c8 = sk_c6
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_69 ),
inference(forward_demodulation,[],[f3793,f3161]) ).
fof(f3793,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_69 ),
inference(backward_demodulation,[],[f3156,f3781]) ).
fof(f3156,plain,
( sk_c8 = inverse(multiply(sk_c8,sk_c8))
| ~ spl26_10
| ~ spl26_69 ),
inference(backward_demodulation,[],[f1521,f182]) ).
fof(f1521,plain,
( sF20 = inverse(multiply(sk_c8,sF20))
| ~ spl26_69 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f1520,plain,
( spl26_69
<=> sF20 = inverse(multiply(sk_c8,sF20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_69])]) ).
fof(f3906,plain,
( spl26_14
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_15 ),
inference(avatar_split_clause,[],[f3892,f232,f180,f170,f165,f160,f155,f150,f145,f140,f218]) ).
fof(f218,plain,
( spl26_14
<=> sk_c11 = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_14])]) ).
fof(f232,plain,
( spl26_15
<=> sk_c9 = sF25 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_15])]) ).
fof(f3892,plain,
( sk_c11 = sF24
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_15 ),
inference(backward_demodulation,[],[f3876,f3873]) ).
fof(f3876,plain,
( sk_c9 = sF24
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_10
| ~ spl26_15 ),
inference(backward_demodulation,[],[f112,f3871]) ).
fof(f3871,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_10
| ~ spl26_15 ),
inference(backward_demodulation,[],[f2668,f3869]) ).
fof(f2668,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c9,X0)) = X0
| ~ spl26_15 ),
inference(superposition,[],[f301,f2626]) ).
fof(f2626,plain,
( sk_c2 = inverse(sk_c9)
| ~ spl26_15 ),
inference(forward_demodulation,[],[f2624,f1953]) ).
fof(f2624,plain,
( sk_c2 = multiply(inverse(sk_c9),identity)
| ~ spl26_15 ),
inference(superposition,[],[f301,f610]) ).
fof(f610,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl26_15 ),
inference(backward_demodulation,[],[f286,f234]) ).
fof(f234,plain,
( sk_c9 = sF25
| ~ spl26_15 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f286,plain,
identity = multiply(sF25,sk_c2),
inference(superposition,[],[f2,f123]) ).
fof(f123,plain,
inverse(sk_c2) = sF25,
introduced(function_definition,[new_symbols(definition,[sF25])]) ).
fof(f112,plain,
multiply(sk_c2,sk_c9) = sF24,
introduced(function_definition,[new_symbols(definition,[sF24])]) ).
fof(f3847,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| spl26_62
| ~ spl26_69 ),
inference(avatar_contradiction_clause,[],[f3846]) ).
fof(f3846,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| spl26_62
| ~ spl26_69 ),
inference(subsumption_resolution,[],[f3845,f3162]) ).
fof(f3162,plain,
( sk_c8 != sk_c6
| ~ spl26_10
| spl26_62 ),
inference(backward_demodulation,[],[f2261,f182]) ).
fof(f2261,plain,
( sk_c6 != sF20
| spl26_62 ),
inference(backward_demodulation,[],[f1450,f2259]) ).
fof(f1450,plain,
( sF20 != inverse(sF20)
| spl26_62 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f3677,plain,
( ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12
| spl26_13 ),
inference(avatar_contradiction_clause,[],[f3676]) ).
fof(f3676,plain,
( $false
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12
| spl26_13 ),
inference(subsumption_resolution,[],[f3620,f3549]) ).
fof(f3549,plain,
( sk_c11 != sk_c10
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_12
| spl26_13 ),
inference(backward_demodulation,[],[f205,f3548]) ).
fof(f3548,plain,
( sk_c11 = sF23
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_12 ),
inference(forward_demodulation,[],[f3537,f913]) ).
fof(f913,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl26_1
| ~ spl26_12 ),
inference(superposition,[],[f822,f775]) ).
fof(f822,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
| ~ spl26_12 ),
inference(forward_demodulation,[],[f821,f1]) ).
fof(f821,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c1,X0))
| ~ spl26_12 ),
inference(superposition,[],[f3,f768]) ).
fof(f768,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl26_12 ),
inference(forward_demodulation,[],[f280,f192]) ).
fof(f192,plain,
( sk_c11 = sF22
| ~ spl26_12 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f280,plain,
identity = multiply(sF22,sk_c1),
inference(superposition,[],[f2,f90]) ).
fof(f3537,plain,
( sF23 = multiply(sk_c11,sk_c10)
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_12 ),
inference(backward_demodulation,[],[f101,f3528]) ).
fof(f3528,plain,
( sk_c10 = sk_c9
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_12 ),
inference(backward_demodulation,[],[f3508,f3523]) ).
fof(f3523,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_12 ),
inference(forward_demodulation,[],[f3505,f3501]) ).
fof(f3501,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,X0)
| ~ spl26_1
| ~ spl26_4
| ~ spl26_12 ),
inference(backward_demodulation,[],[f3240,f3500]) ).
fof(f3500,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl26_1
| ~ spl26_12 ),
inference(forward_demodulation,[],[f3499,f776]) ).
fof(f776,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl26_1 ),
inference(forward_demodulation,[],[f290,f138]) ).
fof(f290,plain,
! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = multiply(sF12,X0),
inference(superposition,[],[f3,f70]) ).
fof(f3499,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = X0
| ~ spl26_12 ),
inference(superposition,[],[f301,f3283]) ).
fof(f3283,plain,
( sk_c1 = inverse(sk_c11)
| ~ spl26_12 ),
inference(forward_demodulation,[],[f3281,f1953]) ).
fof(f3281,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl26_12 ),
inference(superposition,[],[f301,f768]) ).
fof(f3505,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl26_1
| ~ spl26_5
| ~ spl26_12 ),
inference(backward_demodulation,[],[f3198,f3500]) ).
fof(f3508,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl26_1
| ~ spl26_4
| ~ spl26_12 ),
inference(backward_demodulation,[],[f3200,f3501]) ).
fof(f101,plain,
multiply(sk_c11,sk_c9) = sF23,
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f205,plain,
( sk_c10 != sF23
| spl26_13 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl26_13
<=> sk_c10 = sF23 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_13])]) ).
fof(f3620,plain,
( sk_c11 = sk_c10
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f913,f3609]) ).
fof(f3609,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(forward_demodulation,[],[f3600,f3504]) ).
fof(f3504,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = X0
| ~ spl26_1
| ~ spl26_12 ),
inference(backward_demodulation,[],[f776,f3500]) ).
fof(f3600,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c11,X0))
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f3510,f3594]) ).
fof(f3594,plain,
( sk_c1 = sk_c5
| ~ spl26_1
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(forward_demodulation,[],[f3593,f3283]) ).
fof(f3593,plain,
( sk_c5 = inverse(sk_c11)
| ~ spl26_1
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(forward_demodulation,[],[f3591,f1953]) ).
fof(f3591,plain,
( sk_c5 = multiply(inverse(sk_c11),identity)
| ~ spl26_1
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(superposition,[],[f301,f3518]) ).
fof(f3518,plain,
( identity = multiply(sk_c11,sk_c5)
| ~ spl26_1
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f3182,f3503]) ).
fof(f3503,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,X0)
| ~ spl26_1
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f3228,f3500]) ).
fof(f3510,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c11,X0))
| ~ spl26_1
| ~ spl26_6
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f3185,f3503]) ).
fof(f3185,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl26_6 ),
inference(backward_demodulation,[],[f837,f162]) ).
fof(f837,plain,
! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sF16,X0),
inference(superposition,[],[f3,f78]) ).
fof(f3626,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12
| spl26_13 ),
inference(avatar_contradiction_clause,[],[f3625]) ).
fof(f3625,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12
| spl26_13 ),
inference(subsumption_resolution,[],[f3624,f3549]) ).
fof(f3624,plain,
( sk_c11 = sk_c10
| ~ spl26_1
| ~ spl26_2
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f3203,f3610]) ).
fof(f3610,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f3502,f3609]) ).
fof(f3502,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_12 ),
inference(backward_demodulation,[],[f3245,f3500]) ).
fof(f3245,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl26_2 ),
inference(superposition,[],[f3,f3203]) ).
fof(f3429,plain,
( ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_8
| ~ spl26_10
| ~ spl26_12
| ~ spl26_13
| spl26_14
| ~ spl26_15 ),
inference(avatar_contradiction_clause,[],[f3428]) ).
fof(f3428,plain,
( $false
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_8
| ~ spl26_10
| ~ spl26_12
| ~ spl26_13
| spl26_14
| ~ spl26_15 ),
inference(subsumption_resolution,[],[f3427,f219]) ).
fof(f219,plain,
( sk_c11 != sF24
| spl26_14 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f3427,plain,
( sk_c11 = sF24
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_8
| ~ spl26_10
| ~ spl26_12
| ~ spl26_13
| ~ spl26_15 ),
inference(forward_demodulation,[],[f3424,f3312]) ).
fof(f3312,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_12
| ~ spl26_13
| ~ spl26_15 ),
inference(backward_demodulation,[],[f1,f3311]) ).
fof(f3311,plain,
( identity = sk_c11
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_12
| ~ spl26_13
| ~ spl26_15 ),
inference(forward_demodulation,[],[f3297,f2567]) ).
fof(f2567,plain,
( sk_c11 = multiply(sk_c10,sk_c2)
| ~ spl26_13
| ~ spl26_15 ),
inference(forward_demodulation,[],[f1024,f1953]) ).
fof(f1024,plain,
( multiply(sk_c11,identity) = multiply(sk_c10,sk_c2)
| ~ spl26_13
| ~ spl26_15 ),
inference(superposition,[],[f779,f610]) ).
fof(f779,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c9,X0)) = multiply(sk_c10,X0)
| ~ spl26_13 ),
inference(forward_demodulation,[],[f291,f206]) ).
fof(f206,plain,
( sk_c10 = sF23
| ~ spl26_13 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f291,plain,
! [X0] : multiply(sk_c11,multiply(sk_c9,X0)) = multiply(sF23,X0),
inference(superposition,[],[f3,f101]) ).
fof(f3297,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_12
| ~ spl26_13
| ~ spl26_15 ),
inference(backward_demodulation,[],[f610,f3291]) ).
fof(f3291,plain,
( sk_c10 = sk_c9
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_12
| ~ spl26_13 ),
inference(forward_demodulation,[],[f3287,f3243]) ).
fof(f3243,plain,
( sk_c10 = multiply(sk_c1,sk_c10)
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_13 ),
inference(backward_demodulation,[],[f984,f3241]) ).
fof(f3241,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl26_4
| ~ spl26_5 ),
inference(forward_demodulation,[],[f3239,f3193]) ).
fof(f3239,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl26_4 ),
inference(superposition,[],[f301,f3200]) ).
fof(f984,plain,
( multiply(sk_c10,sk_c9) = multiply(sk_c1,sk_c10)
| ~ spl26_1
| ~ spl26_13 ),
inference(superposition,[],[f776,f778]) ).
fof(f778,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| ~ spl26_13 ),
inference(forward_demodulation,[],[f101,f206]) ).
fof(f3287,plain,
( sk_c9 = multiply(sk_c1,sk_c10)
| ~ spl26_12
| ~ spl26_13 ),
inference(backward_demodulation,[],[f2574,f3283]) ).
fof(f2574,plain,
( sk_c9 = multiply(inverse(sk_c11),sk_c10)
| ~ spl26_13 ),
inference(superposition,[],[f301,f778]) ).
fof(f3424,plain,
( sF24 = multiply(sk_c11,sk_c11)
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_8
| ~ spl26_10
| ~ spl26_12
| ~ spl26_13
| ~ spl26_15 ),
inference(backward_demodulation,[],[f3391,f3339]) ).
fof(f3339,plain,
( sk_c11 = sk_c2
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_12
| ~ spl26_13
| ~ spl26_15 ),
inference(backward_demodulation,[],[f2567,f3334]) ).
fof(f3334,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_12
| ~ spl26_13
| ~ spl26_15 ),
inference(forward_demodulation,[],[f3327,f3312]) ).
fof(f3327,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_12
| ~ spl26_13
| ~ spl26_15 ),
inference(backward_demodulation,[],[f985,f3312]) ).
fof(f985,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c10,X0))
| ~ spl26_1
| ~ spl26_12 ),
inference(superposition,[],[f822,f776]) ).
fof(f3391,plain,
( sF24 = multiply(sk_c2,sk_c11)
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_8
| ~ spl26_10
| ~ spl26_12
| ~ spl26_13
| ~ spl26_15 ),
inference(backward_demodulation,[],[f3294,f3366]) ).
fof(f3366,plain,
( sk_c11 = sk_c10
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_8
| ~ spl26_10
| ~ spl26_12
| ~ spl26_13
| ~ spl26_15 ),
inference(backward_demodulation,[],[f3229,f3342]) ).
fof(f3342,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_8
| ~ spl26_10
| ~ spl26_12
| ~ spl26_13
| ~ spl26_15 ),
inference(backward_demodulation,[],[f3218,f3335]) ).
fof(f3335,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_8
| ~ spl26_12
| ~ spl26_13
| ~ spl26_15 ),
inference(backward_demodulation,[],[f3325,f3334]) ).
fof(f3325,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c10,X0)) = X0
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_8
| ~ spl26_12
| ~ spl26_13
| ~ spl26_15 ),
inference(backward_demodulation,[],[f3228,f3312]) ).
fof(f3294,plain,
( sF24 = multiply(sk_c2,sk_c10)
| ~ spl26_1
| ~ spl26_4
| ~ spl26_5
| ~ spl26_12
| ~ spl26_13 ),
inference(backward_demodulation,[],[f112,f3291]) ).
fof(f3145,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16 ),
inference(avatar_contradiction_clause,[],[f3144]) ).
fof(f3144,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16 ),
inference(subsumption_resolution,[],[f3143,f64]) ).
fof(f64,plain,
~ sP9(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f3143,plain,
( sP9(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16 ),
inference(forward_demodulation,[],[f3142,f2945]) ).
fof(f2945,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f2944,f2700]) ).
fof(f2700,plain,
( sk_c11 = sk_c2
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f2567,f2693]) ).
fof(f2693,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl26_1
| ~ spl26_12
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f2685,f2682]) ).
fof(f2682,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f2668,f612]) ).
fof(f612,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c2,multiply(sk_c9,X0))
| ~ spl26_14 ),
inference(backward_demodulation,[],[f298,f220]) ).
fof(f220,plain,
( sk_c11 = sF24
| ~ spl26_14 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f298,plain,
! [X0] : multiply(sk_c2,multiply(sk_c9,X0)) = multiply(sF24,X0),
inference(superposition,[],[f3,f112]) ).
fof(f2685,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl26_1
| ~ spl26_12
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f985,f2682]) ).
fof(f2944,plain,
( sk_c2 = inverse(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f2626,f2914]) ).
fof(f2914,plain,
( sk_c11 = sk_c9
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f2692,f2691]) ).
fof(f2691,plain,
( sk_c11 = sk_c10
| ~ spl26_1
| ~ spl26_12
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f913,f2682]) ).
fof(f2692,plain,
( sk_c10 = sk_c9
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f778,f2682]) ).
fof(f3142,plain,
( sP9(inverse(sk_c11))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16 ),
inference(resolution,[],[f3141,f2936]) ).
fof(f2936,plain,
( ~ sP10(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f65,f2691]) ).
fof(f65,plain,
~ sP10(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f3141,plain,
( ! [X3] :
( sP10(X3)
| sP9(inverse(X3)) )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16 ),
inference(forward_demodulation,[],[f247,f2959]) ).
fof(f2959,plain,
( ! [X0] : multiply(X0,sk_c11) = X0
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f1953,f2954]) ).
fof(f2954,plain,
( identity = sk_c11
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f2953,f2914]) ).
fof(f2953,plain,
( identity = sk_c9
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f2952,f2]) ).
fof(f2952,plain,
( sk_c9 = multiply(inverse(sk_c11),sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f2574,f2691]) ).
fof(f247,plain,
( ! [X3] :
( sP10(multiply(X3,sk_c11))
| sP9(inverse(X3)) )
| ~ spl26_16 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl26_16
<=> ! [X3] :
( sP9(inverse(X3))
| sP10(multiply(X3,sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_16])]) ).
fof(f3139,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_17 ),
inference(avatar_contradiction_clause,[],[f3138]) ).
fof(f3138,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_17 ),
inference(subsumption_resolution,[],[f3137,f2916]) ).
fof(f2916,plain,
( ~ sP8(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f63,f2691]) ).
fof(f63,plain,
~ sP8(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f3137,plain,
( sP8(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_17 ),
inference(forward_demodulation,[],[f251,f2931]) ).
fof(f2931,plain,
( sk_c11 = sF23
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f206,f2691]) ).
fof(f251,plain,
( sP8(sF23)
| ~ spl26_17 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f249,plain,
( spl26_17
<=> sP8(sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_17])]) ).
fof(f3136,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_18 ),
inference(avatar_contradiction_clause,[],[f3135]) ).
fof(f3135,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_18 ),
inference(subsumption_resolution,[],[f3134,f2998]) ).
fof(f2998,plain,
( ~ sP6(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f61,f2914]) ).
fof(f61,plain,
~ sP6(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f3134,plain,
( sP6(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_18 ),
inference(forward_demodulation,[],[f3133,f2945]) ).
fof(f3133,plain,
( sP6(inverse(sk_c11))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_18 ),
inference(resolution,[],[f3132,f62]) ).
fof(f62,plain,
~ sP7(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f3132,plain,
( ! [X4] :
( sP7(X4)
| sP6(inverse(X4)) )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_18 ),
inference(forward_demodulation,[],[f3131,f2959]) ).
fof(f3131,plain,
( ! [X4] :
( sP7(multiply(X4,sk_c11))
| sP6(inverse(X4)) )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_18 ),
inference(forward_demodulation,[],[f254,f2914]) ).
fof(f254,plain,
( ! [X4] :
( sP6(inverse(X4))
| sP7(multiply(X4,sk_c9)) )
| ~ spl26_18 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl26_18
<=> ! [X4] :
( sP6(inverse(X4))
| sP7(multiply(X4,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_18])]) ).
fof(f3128,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_98 ),
inference(avatar_contradiction_clause,[],[f3127]) ).
fof(f3127,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_98 ),
inference(subsumption_resolution,[],[f3126,f2937]) ).
fof(f2937,plain,
( ~ sP5(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f60,f2691]) ).
fof(f60,plain,
~ sP5(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f3126,plain,
( sP5(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_98 ),
inference(forward_demodulation,[],[f3125,f2700]) ).
fof(f3125,plain,
( sP5(sk_c2)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_98 ),
inference(forward_demodulation,[],[f2618,f2959]) ).
fof(f2618,plain,
( sP5(multiply(sk_c2,sk_c11))
| ~ spl26_98 ),
inference(avatar_component_clause,[],[f2616]) ).
fof(f2616,plain,
( spl26_98
<=> sP5(multiply(sk_c2,sk_c11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_98])]) ).
fof(f3120,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_99 ),
inference(avatar_contradiction_clause,[],[f3119]) ).
fof(f3119,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_99 ),
inference(subsumption_resolution,[],[f3118,f59]) ).
fof(f59,plain,
~ sP4(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f3118,plain,
( sP4(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_99 ),
inference(forward_demodulation,[],[f2622,f2914]) ).
fof(f2622,plain,
( sP4(sk_c9)
| ~ spl26_99 ),
inference(avatar_component_clause,[],[f2620]) ).
fof(f2620,plain,
( spl26_99
<=> sP4(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_99])]) ).
fof(f3114,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_106 ),
inference(avatar_contradiction_clause,[],[f3113]) ).
fof(f3113,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_106 ),
inference(subsumption_resolution,[],[f3112,f55]) ).
fof(f3112,plain,
( sP0(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_106 ),
inference(forward_demodulation,[],[f3111,f2914]) ).
fof(f3111,plain,
( sP0(sk_c9)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_106 ),
inference(forward_demodulation,[],[f3110,f2959]) ).
fof(f3110,plain,
( sP0(multiply(sk_c9,sk_c11))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_14
| ~ spl26_15
| ~ spl26_106 ),
inference(forward_demodulation,[],[f2665,f2691]) ).
fof(f2665,plain,
( sP0(multiply(sk_c9,sk_c10))
| ~ spl26_106 ),
inference(avatar_component_clause,[],[f2663]) ).
fof(f2663,plain,
( spl26_106
<=> sP0(multiply(sk_c9,sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_106])]) ).
fof(f3108,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_105 ),
inference(avatar_contradiction_clause,[],[f3107]) ).
fof(f3107,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_105 ),
inference(trivial_inequality_removal,[],[f3106]) ).
fof(f3106,plain,
( sk_c11 != sk_c11
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_105 ),
inference(duplicate_literal_removal,[],[f3104]) ).
fof(f3104,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_105 ),
inference(superposition,[],[f3065,f2945]) ).
fof(f3065,plain,
( ! [X0] :
( inverse(X0) != sk_c11
| inverse(X0) != X0 )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_105 ),
inference(forward_demodulation,[],[f3064,f2959]) ).
fof(f3064,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| inverse(X0) != sk_c11 )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_105 ),
inference(forward_demodulation,[],[f3063,f2914]) ).
fof(f3063,plain,
( ! [X0] :
( inverse(X0) != sk_c11
| inverse(X0) != multiply(X0,sk_c9) )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_105 ),
inference(forward_demodulation,[],[f3062,f2959]) ).
fof(f3062,plain,
( ! [X0] :
( sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c9) )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_105 ),
inference(forward_demodulation,[],[f2661,f2914]) ).
fof(f2661,plain,
( ! [X0] :
( sk_c9 != inverse(multiply(X0,sk_c9))
| inverse(X0) != multiply(X0,sk_c9) )
| ~ spl26_105 ),
inference(avatar_component_clause,[],[f2660]) ).
fof(f2660,plain,
( spl26_105
<=> ! [X0] :
( sk_c9 != inverse(multiply(X0,sk_c9))
| inverse(X0) != multiply(X0,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_105])]) ).
fof(f3055,plain,
( ~ spl26_43
| ~ spl26_1
| ~ spl26_12
| ~ spl26_14
| ~ spl26_15 ),
inference(avatar_split_clause,[],[f2938,f232,f218,f190,f136,f899]) ).
fof(f899,plain,
( spl26_43
<=> sP2(sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_43])]) ).
fof(f2938,plain,
( ~ sP2(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f57,f2691]) ).
fof(f57,plain,
~ sP2(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f3053,plain,
( spl26_43
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_44 ),
inference(avatar_split_clause,[],[f3038,f1060,f232,f218,f204,f190,f136,f899]) ).
fof(f1060,plain,
( spl26_44
<=> ! [X0] : sP2(inverse(multiply(inverse(multiply(X0,sk_c10)),X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_44])]) ).
fof(f3038,plain,
( sP2(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_44 ),
inference(forward_demodulation,[],[f3037,f2945]) ).
fof(f3037,plain,
( sP2(inverse(sk_c11))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_44 ),
inference(forward_demodulation,[],[f3036,f2955]) ).
fof(f2955,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c11
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f2,f2954]) ).
fof(f3036,plain,
( ! [X0] : sP2(inverse(multiply(inverse(X0),X0)))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_44 ),
inference(forward_demodulation,[],[f3035,f2959]) ).
fof(f3035,plain,
( ! [X0] : sP2(inverse(multiply(inverse(multiply(X0,sk_c11)),X0)))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_14
| ~ spl26_15
| ~ spl26_44 ),
inference(forward_demodulation,[],[f1061,f2691]) ).
fof(f1061,plain,
( ! [X0] : sP2(inverse(multiply(inverse(multiply(X0,sk_c10)),X0)))
| ~ spl26_44 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f3000,plain,
( ~ spl26_35
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(avatar_split_clause,[],[f2999,f232,f218,f204,f190,f136,f798]) ).
fof(f798,plain,
( spl26_35
<=> sP3(sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_35])]) ).
fof(f2999,plain,
( ~ sP3(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f58,f2914]) ).
fof(f58,plain,
~ sP3(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f2965,plain,
( spl26_35
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_41 ),
inference(avatar_split_clause,[],[f2958,f866,f232,f218,f204,f190,f136,f798]) ).
fof(f866,plain,
( spl26_41
<=> sP3(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_41])]) ).
fof(f2958,plain,
( sP3(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_41 ),
inference(backward_demodulation,[],[f868,f2954]) ).
fof(f868,plain,
( sP3(identity)
| ~ spl26_41 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f2666,plain,
( spl26_105
| spl26_106
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(avatar_split_clause,[],[f2658,f262,f232,f218,f2663,f2660]) ).
fof(f2658,plain,
( ! [X0] :
( sP0(multiply(sk_c9,sk_c10))
| sk_c9 != inverse(multiply(X0,sk_c9))
| inverse(X0) != multiply(X0,sk_c9) )
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f2657,f56]) ).
fof(f2657,plain,
( ! [X0] :
( sP1(sk_c11)
| sP0(multiply(sk_c9,sk_c10))
| sk_c9 != inverse(multiply(X0,sk_c9))
| inverse(X0) != multiply(X0,sk_c9) )
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(forward_demodulation,[],[f2632,f613]) ).
fof(f613,plain,
( sk_c11 = multiply(sk_c2,sk_c9)
| ~ spl26_14 ),
inference(backward_demodulation,[],[f112,f220]) ).
fof(f2632,plain,
( ! [X0] :
( sP0(multiply(sk_c9,sk_c10))
| sP1(multiply(sk_c2,sk_c9))
| sk_c9 != inverse(multiply(X0,sk_c9))
| inverse(X0) != multiply(X0,sk_c9) )
| ~ spl26_15
| ~ spl26_21 ),
inference(superposition,[],[f263,f611]) ).
fof(f611,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl26_15 ),
inference(backward_demodulation,[],[f123,f234]) ).
fof(f2623,plain,
( spl26_98
| spl26_99
| ~ spl26_15
| ~ spl26_19 ),
inference(avatar_split_clause,[],[f2583,f256,f232,f2620,f2616]) ).
fof(f256,plain,
( spl26_19
<=> ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_19])]) ).
fof(f2583,plain,
( sP4(sk_c9)
| sP5(multiply(sk_c2,sk_c11))
| ~ spl26_15
| ~ spl26_19 ),
inference(superposition,[],[f257,f611]) ).
fof(f257,plain,
( ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c11)) )
| ~ spl26_19 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f2587,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_12
| ~ spl26_19 ),
inference(avatar_contradiction_clause,[],[f2586]) ).
fof(f2586,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_12
| ~ spl26_19 ),
inference(subsumption_resolution,[],[f2585,f60]) ).
fof(f2585,plain,
( sP5(sk_c10)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_12
| ~ spl26_19 ),
inference(forward_demodulation,[],[f2584,f2535]) ).
fof(f2535,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl26_1
| ~ spl26_2
| ~ spl26_12 ),
inference(backward_demodulation,[],[f274,f2530]) ).
fof(f2530,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c1,X0)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_12 ),
inference(forward_demodulation,[],[f979,f914]) ).
fof(f914,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl26_2
| ~ spl26_12 ),
inference(superposition,[],[f293,f822]) ).
fof(f293,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl26_2 ),
inference(superposition,[],[f3,f274]) ).
fof(f979,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl26_1
| ~ spl26_12 ),
inference(superposition,[],[f776,f822]) ).
fof(f274,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl26_2 ),
inference(backward_demodulation,[],[f69,f142]) ).
fof(f2584,plain,
( sP5(multiply(sk_c1,sk_c11))
| ~ spl26_12
| ~ spl26_19 ),
inference(subsumption_resolution,[],[f2579,f59]) ).
fof(f2579,plain,
( sP4(sk_c11)
| sP5(multiply(sk_c1,sk_c11))
| ~ spl26_12
| ~ spl26_19 ),
inference(superposition,[],[f257,f740]) ).
fof(f740,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl26_12 ),
inference(backward_demodulation,[],[f90,f192]) ).
fof(f2369,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(avatar_contradiction_clause,[],[f2368]) ).
fof(f2368,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f2355,f1590]) ).
fof(f1590,plain,
( identity != sk_c11
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(forward_demodulation,[],[f1589,f1217]) ).
fof(f1217,plain,
( sk_c11 = inverse(identity)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f740,f1140]) ).
fof(f1140,plain,
( identity = sk_c1
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f768,f1126]) ).
fof(f1126,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f1103,f1097]) ).
fof(f1097,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl26_1
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_15 ),
inference(forward_demodulation,[],[f1093,f776]) ).
fof(f1093,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = X0
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_15 ),
inference(backward_demodulation,[],[f1082,f1083]) ).
fof(f1083,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c1,X0)
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_15 ),
inference(superposition,[],[f1082,f822]) ).
fof(f1082,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c11,X0)) = X0
| ~ spl26_4
| ~ spl26_13
| ~ spl26_15 ),
inference(forward_demodulation,[],[f1081,f1]) ).
fof(f1081,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c11,multiply(identity,X0)))
| ~ spl26_4
| ~ spl26_13
| ~ spl26_15 ),
inference(forward_demodulation,[],[f1080,f3]) ).
fof(f1080,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(multiply(sk_c11,identity),X0))
| ~ spl26_4
| ~ spl26_13
| ~ spl26_15 ),
inference(superposition,[],[f3,f1077]) ).
fof(f1077,plain,
( identity = multiply(sk_c4,multiply(sk_c11,identity))
| ~ spl26_4
| ~ spl26_13
| ~ spl26_15 ),
inference(forward_demodulation,[],[f1075,f610]) ).
fof(f1075,plain,
( multiply(sk_c9,sk_c2) = multiply(sk_c4,multiply(sk_c11,identity))
| ~ spl26_4
| ~ spl26_13
| ~ spl26_15 ),
inference(superposition,[],[f294,f1024]) ).
fof(f294,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c10,X0))
| ~ spl26_4 ),
inference(superposition,[],[f3,f272]) ).
fof(f272,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl26_4 ),
inference(backward_demodulation,[],[f74,f152]) ).
fof(f1103,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c11,X0)) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f975,f1097]) ).
fof(f975,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c11,X0))
| ~ spl26_2
| ~ spl26_14
| ~ spl26_15 ),
inference(superposition,[],[f3,f972]) ).
fof(f972,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl26_2
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f970,f274]) ).
fof(f970,plain,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c11)
| ~ spl26_2
| ~ spl26_14
| ~ spl26_15 ),
inference(superposition,[],[f293,f964]) ).
fof(f964,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f958,f613]) ).
fof(f958,plain,
( multiply(sk_c2,sk_c9) = multiply(sk_c11,sk_c11)
| ~ spl26_14
| ~ spl26_15 ),
inference(superposition,[],[f612,f904]) ).
fof(f904,plain,
( sk_c9 = multiply(sk_c9,sk_c11)
| ~ spl26_14
| ~ spl26_15 ),
inference(superposition,[],[f809,f613]) ).
fof(f809,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
| ~ spl26_15 ),
inference(forward_demodulation,[],[f808,f1]) ).
fof(f808,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| ~ spl26_15 ),
inference(superposition,[],[f3,f610]) ).
fof(f1589,plain,
( identity != inverse(identity)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(forward_demodulation,[],[f1583,f2]) ).
fof(f1583,plain,
( identity != inverse(multiply(inverse(sk_c11),sk_c11))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(superposition,[],[f1472,f1126]) ).
fof(f1472,plain,
( ! [X0] : identity != inverse(multiply(inverse(multiply(X0,sk_c11)),X0))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f1469,f1217]) ).
fof(f1469,plain,
( ! [X0] :
( sk_c11 != inverse(identity)
| identity != inverse(multiply(inverse(multiply(X0,sk_c11)),X0)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(superposition,[],[f1424,f2]) ).
fof(f1424,plain,
( ! [X0,X1] :
( sk_c11 != inverse(multiply(X0,multiply(X1,sk_c11)))
| inverse(multiply(X0,X1)) != multiply(X0,multiply(X1,sk_c11)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(superposition,[],[f1358,f3]) ).
fof(f1358,plain,
( ! [X0] :
( sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f1357,f56]) ).
fof(f1357,plain,
( ! [X0] :
( sP1(sk_c11)
| sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(forward_demodulation,[],[f1356,f1]) ).
fof(f1356,plain,
( ! [X0] :
( sk_c11 != inverse(multiply(X0,sk_c11))
| sP1(multiply(identity,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f1355,f55]) ).
fof(f1355,plain,
( ! [X0] :
( sP0(sk_c11)
| sk_c11 != inverse(multiply(X0,sk_c11))
| sP1(multiply(identity,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(forward_demodulation,[],[f1349,f1126]) ).
fof(f1349,plain,
( ! [X0] :
( sP0(multiply(sk_c11,sk_c11))
| sk_c11 != inverse(multiply(X0,sk_c11))
| sP1(multiply(identity,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(superposition,[],[f1343,f1217]) ).
fof(f1343,plain,
( ! [X9,X7] :
( sP0(multiply(inverse(X7),sk_c11))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sP1(multiply(X7,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(forward_demodulation,[],[f263,f1148]) ).
fof(f1148,plain,
( sk_c11 = sk_c10
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f775,f1130]) ).
fof(f1130,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f1100,f1126]) ).
fof(f1100,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = X0
| ~ spl26_1
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_15 ),
inference(backward_demodulation,[],[f776,f1097]) ).
fof(f2355,plain,
( identity = sk_c11
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(superposition,[],[f2,f1924]) ).
fof(f1924,plain,
( ! [X0] : multiply(inverse(sk_c11),X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(superposition,[],[f301,f1126]) ).
fof(f2248,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(avatar_contradiction_clause,[],[f2247]) ).
fof(f2247,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(subsumption_resolution,[],[f2207,f161]) ).
fof(f161,plain,
( sk_c11 != sF16
| spl26_6 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f2207,plain,
( sk_c11 = sF16
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(superposition,[],[f1126,f1988]) ).
fof(f1988,plain,
( ! [X0] : multiply(X0,sF16) = X0
| ~ spl26_7 ),
inference(backward_demodulation,[],[f1953,f1970]) ).
fof(f1970,plain,
( identity = sF16
| ~ spl26_7 ),
inference(forward_demodulation,[],[f1931,f2]) ).
fof(f1931,plain,
( sF16 = multiply(inverse(sk_c8),sk_c8)
| ~ spl26_7 ),
inference(superposition,[],[f301,f844]) ).
fof(f844,plain,
( sk_c8 = multiply(sk_c8,sF16)
| ~ spl26_7 ),
inference(superposition,[],[f306,f78]) ).
fof(f306,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl26_7 ),
inference(forward_demodulation,[],[f305,f1]) ).
fof(f305,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl26_7 ),
inference(superposition,[],[f3,f283]) ).
fof(f283,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl26_7 ),
inference(superposition,[],[f2,f269]) ).
fof(f269,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl26_7 ),
inference(backward_demodulation,[],[f80,f167]) ).
fof(f2027,plain,
( ~ spl26_7
| ~ spl26_9
| ~ spl26_11
| spl26_69 ),
inference(avatar_contradiction_clause,[],[f2026]) ).
fof(f2026,plain,
( $false
| ~ spl26_7
| ~ spl26_9
| ~ spl26_11
| spl26_69 ),
inference(subsumption_resolution,[],[f2025,f86]) ).
fof(f2025,plain,
( inverse(sk_c6) != sF20
| ~ spl26_7
| ~ spl26_9
| ~ spl26_11
| spl26_69 ),
inference(backward_demodulation,[],[f1522,f2022]) ).
fof(f2022,plain,
( sk_c6 = multiply(sk_c8,sF20)
| ~ spl26_7
| ~ spl26_9
| ~ spl26_11 ),
inference(backward_demodulation,[],[f1959,f2019]) ).
fof(f2019,plain,
( sk_c7 = sF20
| ~ spl26_7
| ~ spl26_9 ),
inference(forward_demodulation,[],[f2018,f86]) ).
fof(f2018,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl26_7
| ~ spl26_9 ),
inference(forward_demodulation,[],[f2017,f1988]) ).
fof(f2017,plain,
( sk_c7 = multiply(inverse(sk_c6),sF16)
| ~ spl26_7
| ~ spl26_9 ),
inference(forward_demodulation,[],[f1942,f1970]) ).
fof(f1942,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl26_9 ),
inference(superposition,[],[f301,f284]) ).
fof(f284,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl26_9 ),
inference(superposition,[],[f2,f267]) ).
fof(f267,plain,
( inverse(sk_c7) = sk_c6
| ~ spl26_9 ),
inference(backward_demodulation,[],[f84,f177]) ).
fof(f1959,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl26_9
| ~ spl26_11 ),
inference(backward_demodulation,[],[f1654,f1953]) ).
fof(f1654,plain,
( multiply(sk_c6,identity) = multiply(sk_c8,sk_c7)
| ~ spl26_9
| ~ spl26_11 ),
inference(superposition,[],[f870,f284]) ).
fof(f870,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| ~ spl26_9
| ~ spl26_11 ),
inference(superposition,[],[f3,f848]) ).
fof(f848,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl26_9
| ~ spl26_11 ),
inference(superposition,[],[f308,f265]) ).
fof(f265,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl26_11 ),
inference(backward_demodulation,[],[f88,f187]) ).
fof(f308,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl26_9 ),
inference(forward_demodulation,[],[f307,f1]) ).
fof(f307,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl26_9 ),
inference(superposition,[],[f3,f284]) ).
fof(f1522,plain,
( sF20 != inverse(multiply(sk_c8,sF20))
| spl26_69 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f1880,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| spl26_5
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(avatar_contradiction_clause,[],[f1879]) ).
fof(f1879,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| spl26_5
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(subsumption_resolution,[],[f1878,f1155]) ).
fof(f1155,plain,
( sk_c11 != sF15
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| spl26_5
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f156,f1148]) ).
fof(f156,plain,
( sk_c10 != sF15
| spl26_5 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f1878,plain,
( sk_c11 = sF15
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f1872,f1217]) ).
fof(f1872,plain,
( sF15 = inverse(identity)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f76,f1871]) ).
fof(f1871,plain,
( identity = sk_c4
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f853,f1869]) ).
fof(f1869,plain,
( ! [X0] : multiply(sF15,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f1868,f1]) ).
fof(f1868,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF15,X0)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f1866,f1146]) ).
fof(f1146,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f1083,f1130]) ).
fof(f1062,plain,
( spl26_44
| spl26_41
| ~ spl26_20 ),
inference(avatar_split_clause,[],[f1044,f259,f866,f1060]) ).
fof(f259,plain,
( spl26_20
<=> ! [X6] :
( sP2(inverse(X6))
| sP3(multiply(X6,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_20])]) ).
fof(f1044,plain,
( ! [X0] :
( sP3(identity)
| sP2(inverse(multiply(inverse(multiply(X0,sk_c10)),X0))) )
| ~ spl26_20 ),
inference(superposition,[],[f788,f2]) ).
fof(f788,plain,
( ! [X0,X1] :
( sP3(multiply(X0,multiply(X1,sk_c10)))
| sP2(inverse(multiply(X0,X1))) )
| ~ spl26_20 ),
inference(superposition,[],[f260,f3]) ).
fof(f260,plain,
( ! [X6] :
( sP3(multiply(X6,sk_c10))
| sP2(inverse(X6)) )
| ~ spl26_20 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f598,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_20 ),
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f597,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_20 ),
inference(subsumption_resolution,[],[f596,f463]) ).
fof(f463,plain,
( ~ sP3(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f445,f453]) ).
fof(f453,plain,
( sk_c11 = sk_c10
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f451,f443]) ).
fof(f443,plain,
( sk_c10 = inverse(identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f271,f442]) ).
fof(f442,plain,
( identity = sk_c4
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f439,f435]) ).
fof(f435,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f425,f422]) ).
fof(f422,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f405,f402]) ).
fof(f402,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f392,f401]) ).
fof(f401,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f377,f392]) ).
fof(f377,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c11,multiply(sk_c5,X0))
| ~ spl26_6
| ~ spl26_7 ),
inference(superposition,[],[f295,f306]) ).
fof(f295,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl26_6 ),
inference(superposition,[],[f3,f270]) ).
fof(f270,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl26_6 ),
inference(backward_demodulation,[],[f78,f162]) ).
fof(f392,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c5,X0)) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f306,f379]) ).
fof(f379,plain,
( sk_c11 = sk_c8
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f376,f374]) ).
fof(f374,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl26_6
| ~ spl26_7 ),
inference(superposition,[],[f306,f270]) ).
fof(f376,plain,
( sk_c11 = multiply(sk_c8,sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(superposition,[],[f306,f355]) ).
fof(f355,plain,
( sk_c11 = multiply(sk_c5,sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_8 ),
inference(forward_demodulation,[],[f351,f311]) ).
fof(f311,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f302,f274]) ).
fof(f302,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl26_3 ),
inference(forward_demodulation,[],[f292,f1]) ).
fof(f292,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl26_3 ),
inference(superposition,[],[f3,f281]) ).
fof(f281,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl26_3 ),
inference(superposition,[],[f2,f273]) ).
fof(f273,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl26_3 ),
inference(backward_demodulation,[],[f72,f147]) ).
fof(f351,plain,
( multiply(sk_c11,sk_c10) = multiply(sk_c5,sk_c11)
| ~ spl26_6
| ~ spl26_8 ),
inference(superposition,[],[f295,f268]) ).
fof(f268,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl26_8 ),
inference(backward_demodulation,[],[f82,f172]) ).
fof(f405,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f317,f402]) ).
fof(f317,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c10,X0))
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f302,f293]) ).
fof(f425,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f340,f422]) ).
fof(f340,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| ~ spl26_4
| ~ spl26_5 ),
inference(superposition,[],[f3,f325]) ).
fof(f325,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl26_4
| ~ spl26_5 ),
inference(superposition,[],[f304,f272]) ).
fof(f304,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl26_5 ),
inference(forward_demodulation,[],[f303,f1]) ).
fof(f303,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl26_5 ),
inference(superposition,[],[f3,f282]) ).
fof(f282,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl26_5 ),
inference(superposition,[],[f2,f271]) ).
fof(f439,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f433,f435]) ).
fof(f433,plain,
( multiply(sk_c9,sk_c4) = multiply(sk_c9,identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f343,f423]) ).
fof(f423,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f294,f422]) ).
fof(f343,plain,
( multiply(sk_c9,sk_c4) = multiply(sk_c4,identity)
| ~ spl26_4
| ~ spl26_5 ),
inference(superposition,[],[f294,f282]) ).
fof(f271,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl26_5 ),
inference(backward_demodulation,[],[f76,f157]) ).
fof(f451,plain,
( sk_c11 = inverse(identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f273,f450]) ).
fof(f450,plain,
( identity = sk_c3
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f427,f422]) ).
fof(f427,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f420,f422]) ).
fof(f420,plain,
( multiply(sk_c10,sk_c3) = multiply(sk_c10,identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f315,f404]) ).
fof(f404,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c10,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f293,f402]) ).
fof(f315,plain,
( multiply(sk_c10,sk_c3) = multiply(sk_c3,identity)
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f293,f281]) ).
fof(f445,plain,
( ~ sP3(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f58,f440]) ).
fof(f440,plain,
( sk_c10 = sk_c9
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f347,f435]) ).
fof(f347,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4 ),
inference(forward_demodulation,[],[f342,f272]) ).
fof(f342,plain,
( multiply(sk_c4,sk_c10) = multiply(sk_c9,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4 ),
inference(superposition,[],[f294,f323]) ).
fof(f323,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl26_2
| ~ spl26_3 ),
inference(forward_demodulation,[],[f321,f274]) ).
fof(f321,plain,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f293,f311]) ).
fof(f596,plain,
( sP3(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_20 ),
inference(forward_demodulation,[],[f595,f402]) ).
fof(f595,plain,
( sP3(multiply(sk_c11,sk_c11))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_20 ),
inference(subsumption_resolution,[],[f582,f454]) ).
fof(f454,plain,
( ~ sP2(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f57,f453]) ).
fof(f582,plain,
( sP2(sk_c11)
| sP3(multiply(sk_c11,sk_c11))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_20 ),
inference(superposition,[],[f580,f486]) ).
fof(f486,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f383,f481]) ).
fof(f481,plain,
( sk_c11 = sk_c6
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f474,f412]) ).
fof(f412,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f393,f402]) ).
fof(f393,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f310,f379]) ).
fof(f310,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| ~ spl26_10 ),
inference(forward_demodulation,[],[f309,f1]) ).
fof(f309,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl26_10 ),
inference(superposition,[],[f3,f285]) ).
fof(f285,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl26_10 ),
inference(superposition,[],[f2,f266]) ).
fof(f266,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl26_10 ),
inference(backward_demodulation,[],[f86,f182]) ).
fof(f474,plain,
( sk_c6 = multiply(sk_c6,sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_11 ),
inference(backward_demodulation,[],[f382,f407]) ).
fof(f407,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_11 ),
inference(backward_demodulation,[],[f391,f402]) ).
fof(f391,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c11,X0))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_11 ),
inference(backward_demodulation,[],[f297,f379]) ).
fof(f297,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| ~ spl26_11 ),
inference(superposition,[],[f3,f265]) ).
fof(f382,plain,
( sk_c6 = multiply(sk_c7,sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_11 ),
inference(backward_demodulation,[],[f265,f379]) ).
fof(f383,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f266,f379]) ).
fof(f580,plain,
( ! [X6] :
( sP2(inverse(X6))
| sP3(multiply(X6,sk_c11)) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_20 ),
inference(forward_demodulation,[],[f260,f453]) ).
fof(f568,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_19 ),
inference(avatar_contradiction_clause,[],[f567]) ).
fof(f567,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_19 ),
inference(subsumption_resolution,[],[f566,f455]) ).
fof(f455,plain,
( ~ sP5(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f60,f453]) ).
fof(f566,plain,
( sP5(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_19 ),
inference(forward_demodulation,[],[f565,f402]) ).
fof(f565,plain,
( sP5(multiply(sk_c11,sk_c11))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_19 ),
inference(subsumption_resolution,[],[f552,f59]) ).
fof(f552,plain,
( sP4(sk_c11)
| sP5(multiply(sk_c11,sk_c11))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_19 ),
inference(superposition,[],[f257,f486]) ).
fof(f539,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_18 ),
inference(avatar_contradiction_clause,[],[f538]) ).
fof(f538,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_18 ),
inference(subsumption_resolution,[],[f537,f62]) ).
fof(f537,plain,
( sP7(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_18 ),
inference(forward_demodulation,[],[f536,f402]) ).
fof(f536,plain,
( sP7(multiply(sk_c11,sk_c11))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_18 ),
inference(subsumption_resolution,[],[f523,f464]) ).
fof(f464,plain,
( ~ sP6(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f446,f453]) ).
fof(f446,plain,
( ~ sP6(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f61,f440]) ).
fof(f523,plain,
( sP6(sk_c11)
| sP7(multiply(sk_c11,sk_c11))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_18 ),
inference(superposition,[],[f506,f486]) ).
fof(f506,plain,
( ! [X4] :
( sP6(inverse(X4))
| sP7(multiply(X4,sk_c11)) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_18 ),
inference(forward_demodulation,[],[f254,f461]) ).
fof(f461,plain,
( sk_c11 = sk_c9
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f440,f453]) ).
fof(f468,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_17 ),
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f467,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_17 ),
inference(subsumption_resolution,[],[f456,f334]) ).
fof(f334,plain,
( sP8(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_17 ),
inference(backward_demodulation,[],[f251,f331]) ).
fof(f331,plain,
( sk_c11 = sF23
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5 ),
inference(forward_demodulation,[],[f329,f311]) ).
fof(f329,plain,
( sF23 = multiply(sk_c11,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5 ),
inference(superposition,[],[f302,f327]) ).
fof(f327,plain,
( sk_c10 = multiply(sk_c3,sF23)
| ~ spl26_2
| ~ spl26_4
| ~ spl26_5 ),
inference(backward_demodulation,[],[f314,f325]) ).
fof(f314,plain,
( multiply(sk_c10,sk_c9) = multiply(sk_c3,sF23)
| ~ spl26_2 ),
inference(superposition,[],[f293,f101]) ).
fof(f456,plain,
( ~ sP8(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f63,f453]) ).
fof(f279,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_16 ),
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f278,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_16 ),
inference(subsumption_resolution,[],[f277,f64]) ).
fof(f277,plain,
( sP9(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_16 ),
inference(forward_demodulation,[],[f276,f273]) ).
fof(f276,plain,
( sP9(inverse(sk_c3))
| ~ spl26_2
| ~ spl26_16 ),
inference(subsumption_resolution,[],[f275,f65]) ).
fof(f275,plain,
( sP10(sk_c10)
| sP9(inverse(sk_c3))
| ~ spl26_2
| ~ spl26_16 ),
inference(superposition,[],[f247,f274]) ).
fof(f264,plain,
( spl26_16
| spl26_17
| spl26_18
| spl26_19
| spl26_20
| spl26_21 ),
inference(avatar_split_clause,[],[f134,f262,f259,f256,f253,f249,f246]) ).
fof(f134,plain,
! [X3,X6,X9,X7,X4,X5] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sP0(multiply(inverse(X7),sk_c10))
| sP1(multiply(X7,inverse(X7)))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c10))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c11))
| sP6(inverse(X4))
| sP7(multiply(X4,sk_c9))
| sP8(sF23)
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c11)) ),
inference(definition_folding,[],[f68,f101]) ).
fof(f68,plain,
! [X3,X6,X9,X7,X4,X5] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sP0(multiply(inverse(X7),sk_c10))
| sP1(multiply(X7,inverse(X7)))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c10))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c11))
| sP6(inverse(X4))
| sP7(multiply(X4,sk_c9))
| sP8(multiply(sk_c11,sk_c9))
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c11)) ),
inference(equality_resolution,[],[f67]) ).
fof(f67,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( inverse(multiply(X9,X8)) != X8
| inverse(X9) != multiply(X9,X8)
| sP0(multiply(X8,sk_c10))
| inverse(X7) != X8
| sP1(multiply(X7,X8))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c10))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c11))
| sP6(inverse(X4))
| sP7(multiply(X4,sk_c9))
| sP8(multiply(sk_c11,sk_c9))
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c11)) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( multiply(X9,X8) != X10
| inverse(X10) != X8
| inverse(X9) != X10
| sP0(multiply(X8,sk_c10))
| inverse(X7) != X8
| sP1(multiply(X7,X8))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c10))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c11))
| sP6(inverse(X4))
| sP7(multiply(X4,sk_c9))
| sP8(multiply(sk_c11,sk_c9))
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c11)) ),
inference(inequality_splitting,[],[f54,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( multiply(X9,X8) != X10
| inverse(X10) != X8
| inverse(X9) != X10
| sk_c11 != multiply(X8,sk_c10)
| inverse(X7) != X8
| sk_c11 != multiply(X7,X8)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11)
| sk_c9 != inverse(X4)
| sk_c11 != multiply(X4,sk_c9)
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_51) ).
fof(f244,plain,
( spl26_15
| spl26_11 ),
inference(avatar_split_clause,[],[f133,f185,f232]) ).
fof(f133,plain,
( sk_c6 = sF21
| sk_c9 = sF25 ),
inference(definition_folding,[],[f53,f123,f88]) ).
fof(f53,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_50) ).
fof(f243,plain,
( spl26_15
| spl26_10 ),
inference(avatar_split_clause,[],[f132,f180,f232]) ).
fof(f132,plain,
( sk_c8 = sF20
| sk_c9 = sF25 ),
inference(definition_folding,[],[f52,f123,f86]) ).
fof(f52,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_49) ).
fof(f242,plain,
( spl26_15
| spl26_9 ),
inference(avatar_split_clause,[],[f131,f175,f232]) ).
fof(f131,plain,
( sk_c6 = sF19
| sk_c9 = sF25 ),
inference(definition_folding,[],[f51,f123,f84]) ).
fof(f51,axiom,
( inverse(sk_c7) = sk_c6
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_48) ).
fof(f241,plain,
( spl26_15
| spl26_8 ),
inference(avatar_split_clause,[],[f130,f170,f232]) ).
fof(f130,plain,
( sk_c11 = sF18
| sk_c9 = sF25 ),
inference(definition_folding,[],[f50,f123,f82]) ).
fof(f50,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_47) ).
fof(f240,plain,
( spl26_15
| spl26_7 ),
inference(avatar_split_clause,[],[f129,f165,f232]) ).
fof(f129,plain,
( sk_c8 = sF17
| sk_c9 = sF25 ),
inference(definition_folding,[],[f49,f123,f80]) ).
fof(f49,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_46) ).
fof(f239,plain,
( spl26_15
| spl26_6 ),
inference(avatar_split_clause,[],[f128,f160,f232]) ).
fof(f128,plain,
( sk_c11 = sF16
| sk_c9 = sF25 ),
inference(definition_folding,[],[f48,f123,f78]) ).
fof(f48,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_45) ).
fof(f238,plain,
( spl26_15
| spl26_5 ),
inference(avatar_split_clause,[],[f127,f155,f232]) ).
fof(f127,plain,
( sk_c10 = sF15
| sk_c9 = sF25 ),
inference(definition_folding,[],[f47,f123,f76]) ).
fof(f47,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_44) ).
fof(f237,plain,
( spl26_15
| spl26_4 ),
inference(avatar_split_clause,[],[f126,f150,f232]) ).
fof(f126,plain,
( sk_c9 = sF14
| sk_c9 = sF25 ),
inference(definition_folding,[],[f46,f123,f74]) ).
fof(f46,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_43) ).
fof(f236,plain,
( spl26_15
| spl26_3 ),
inference(avatar_split_clause,[],[f125,f145,f232]) ).
fof(f125,plain,
( sk_c11 = sF13
| sk_c9 = sF25 ),
inference(definition_folding,[],[f45,f123,f72]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_42) ).
fof(f235,plain,
( spl26_15
| spl26_2 ),
inference(avatar_split_clause,[],[f124,f140,f232]) ).
fof(f124,plain,
( sk_c10 = sF11
| sk_c9 = sF25 ),
inference(definition_folding,[],[f44,f123,f69]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_41) ).
fof(f229,plain,
( spl26_14
| spl26_10 ),
inference(avatar_split_clause,[],[f121,f180,f218]) ).
fof(f121,plain,
( sk_c8 = sF20
| sk_c11 = sF24 ),
inference(definition_folding,[],[f42,f112,f86]) ).
fof(f42,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_39) ).
fof(f227,plain,
( spl26_14
| spl26_8 ),
inference(avatar_split_clause,[],[f119,f170,f218]) ).
fof(f119,plain,
( sk_c11 = sF18
| sk_c11 = sF24 ),
inference(definition_folding,[],[f40,f112,f82]) ).
fof(f40,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_37) ).
fof(f226,plain,
( spl26_14
| spl26_7 ),
inference(avatar_split_clause,[],[f118,f165,f218]) ).
fof(f118,plain,
( sk_c8 = sF17
| sk_c11 = sF24 ),
inference(definition_folding,[],[f39,f112,f80]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_36) ).
fof(f225,plain,
( spl26_14
| spl26_6 ),
inference(avatar_split_clause,[],[f117,f160,f218]) ).
fof(f117,plain,
( sk_c11 = sF16
| sk_c11 = sF24 ),
inference(definition_folding,[],[f38,f112,f78]) ).
fof(f38,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_35) ).
fof(f224,plain,
( spl26_14
| spl26_5 ),
inference(avatar_split_clause,[],[f116,f155,f218]) ).
fof(f116,plain,
( sk_c10 = sF15
| sk_c11 = sF24 ),
inference(definition_folding,[],[f37,f112,f76]) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_34) ).
fof(f223,plain,
( spl26_14
| spl26_4 ),
inference(avatar_split_clause,[],[f115,f150,f218]) ).
fof(f115,plain,
( sk_c9 = sF14
| sk_c11 = sF24 ),
inference(definition_folding,[],[f36,f112,f74]) ).
fof(f36,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_33) ).
fof(f222,plain,
( spl26_14
| spl26_3 ),
inference(avatar_split_clause,[],[f114,f145,f218]) ).
fof(f114,plain,
( sk_c11 = sF13
| sk_c11 = sF24 ),
inference(definition_folding,[],[f35,f112,f72]) ).
fof(f35,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_32) ).
fof(f221,plain,
( spl26_14
| spl26_2 ),
inference(avatar_split_clause,[],[f113,f140,f218]) ).
fof(f113,plain,
( sk_c10 = sF11
| sk_c11 = sF24 ),
inference(definition_folding,[],[f34,f112,f69]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_31) ).
fof(f213,plain,
( spl26_13
| spl26_8 ),
inference(avatar_split_clause,[],[f108,f170,f204]) ).
fof(f108,plain,
( sk_c11 = sF18
| sk_c10 = sF23 ),
inference(definition_folding,[],[f30,f101,f82]) ).
fof(f30,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_27) ).
fof(f212,plain,
( spl26_13
| spl26_7 ),
inference(avatar_split_clause,[],[f107,f165,f204]) ).
fof(f107,plain,
( sk_c8 = sF17
| sk_c10 = sF23 ),
inference(definition_folding,[],[f29,f101,f80]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_26) ).
fof(f211,plain,
( spl26_13
| spl26_6 ),
inference(avatar_split_clause,[],[f106,f160,f204]) ).
fof(f106,plain,
( sk_c11 = sF16
| sk_c10 = sF23 ),
inference(definition_folding,[],[f28,f101,f78]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_25) ).
fof(f210,plain,
( spl26_13
| spl26_5 ),
inference(avatar_split_clause,[],[f105,f155,f204]) ).
fof(f105,plain,
( sk_c10 = sF15
| sk_c10 = sF23 ),
inference(definition_folding,[],[f27,f101,f76]) ).
fof(f27,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_24) ).
fof(f209,plain,
( spl26_13
| spl26_4 ),
inference(avatar_split_clause,[],[f104,f150,f204]) ).
fof(f104,plain,
( sk_c9 = sF14
| sk_c10 = sF23 ),
inference(definition_folding,[],[f26,f101,f74]) ).
fof(f26,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_23) ).
fof(f207,plain,
( spl26_13
| spl26_2 ),
inference(avatar_split_clause,[],[f102,f140,f204]) ).
fof(f102,plain,
( sk_c10 = sF11
| sk_c10 = sF23 ),
inference(definition_folding,[],[f24,f101,f69]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_21) ).
fof(f202,plain,
( spl26_12
| spl26_11 ),
inference(avatar_split_clause,[],[f100,f185,f190]) ).
fof(f100,plain,
( sk_c6 = sF21
| sk_c11 = sF22 ),
inference(definition_folding,[],[f23,f90,f88]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_20) ).
fof(f201,plain,
( spl26_12
| spl26_10 ),
inference(avatar_split_clause,[],[f99,f180,f190]) ).
fof(f99,plain,
( sk_c8 = sF20
| sk_c11 = sF22 ),
inference(definition_folding,[],[f22,f90,f86]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_19) ).
fof(f200,plain,
( spl26_12
| spl26_9 ),
inference(avatar_split_clause,[],[f98,f175,f190]) ).
fof(f98,plain,
( sk_c6 = sF19
| sk_c11 = sF22 ),
inference(definition_folding,[],[f21,f90,f84]) ).
fof(f21,axiom,
( inverse(sk_c7) = sk_c6
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_18) ).
fof(f199,plain,
( spl26_12
| spl26_8 ),
inference(avatar_split_clause,[],[f97,f170,f190]) ).
fof(f97,plain,
( sk_c11 = sF18
| sk_c11 = sF22 ),
inference(definition_folding,[],[f20,f90,f82]) ).
fof(f20,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_17) ).
fof(f198,plain,
( spl26_12
| spl26_7 ),
inference(avatar_split_clause,[],[f96,f165,f190]) ).
fof(f96,plain,
( sk_c8 = sF17
| sk_c11 = sF22 ),
inference(definition_folding,[],[f19,f90,f80]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_16) ).
fof(f197,plain,
( spl26_12
| spl26_6 ),
inference(avatar_split_clause,[],[f95,f160,f190]) ).
fof(f95,plain,
( sk_c11 = sF16
| sk_c11 = sF22 ),
inference(definition_folding,[],[f18,f90,f78]) ).
fof(f18,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_15) ).
fof(f196,plain,
( spl26_12
| spl26_5 ),
inference(avatar_split_clause,[],[f94,f155,f190]) ).
fof(f94,plain,
( sk_c10 = sF15
| sk_c11 = sF22 ),
inference(definition_folding,[],[f17,f90,f76]) ).
fof(f17,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_14) ).
fof(f195,plain,
( spl26_12
| spl26_4 ),
inference(avatar_split_clause,[],[f93,f150,f190]) ).
fof(f93,plain,
( sk_c9 = sF14
| sk_c11 = sF22 ),
inference(definition_folding,[],[f16,f90,f74]) ).
fof(f16,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_13) ).
fof(f194,plain,
( spl26_12
| spl26_3 ),
inference(avatar_split_clause,[],[f92,f145,f190]) ).
fof(f92,plain,
( sk_c11 = sF13
| sk_c11 = sF22 ),
inference(definition_folding,[],[f15,f90,f72]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_12) ).
fof(f193,plain,
( spl26_12
| spl26_2 ),
inference(avatar_split_clause,[],[f91,f140,f190]) ).
fof(f91,plain,
( sk_c10 = sF11
| sk_c11 = sF22 ),
inference(definition_folding,[],[f14,f90,f69]) ).
fof(f14,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_11) ).
fof(f188,plain,
( spl26_1
| spl26_11 ),
inference(avatar_split_clause,[],[f89,f185,f136]) ).
fof(f89,plain,
( sk_c6 = sF21
| sk_c10 = sF12 ),
inference(definition_folding,[],[f13,f70,f88]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_10) ).
fof(f183,plain,
( spl26_1
| spl26_10 ),
inference(avatar_split_clause,[],[f87,f180,f136]) ).
fof(f87,plain,
( sk_c8 = sF20
| sk_c10 = sF12 ),
inference(definition_folding,[],[f12,f70,f86]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c6)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_9) ).
fof(f178,plain,
( spl26_1
| spl26_9 ),
inference(avatar_split_clause,[],[f85,f175,f136]) ).
fof(f85,plain,
( sk_c6 = sF19
| sk_c10 = sF12 ),
inference(definition_folding,[],[f11,f70,f84]) ).
fof(f11,axiom,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_8) ).
fof(f173,plain,
( spl26_1
| spl26_8 ),
inference(avatar_split_clause,[],[f83,f170,f136]) ).
fof(f83,plain,
( sk_c11 = sF18
| sk_c10 = sF12 ),
inference(definition_folding,[],[f10,f70,f82]) ).
fof(f10,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_7) ).
fof(f168,plain,
( spl26_1
| spl26_7 ),
inference(avatar_split_clause,[],[f81,f165,f136]) ).
fof(f81,plain,
( sk_c8 = sF17
| sk_c10 = sF12 ),
inference(definition_folding,[],[f9,f70,f80]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_6) ).
fof(f163,plain,
( spl26_1
| spl26_6 ),
inference(avatar_split_clause,[],[f79,f160,f136]) ).
fof(f79,plain,
( sk_c11 = sF16
| sk_c10 = sF12 ),
inference(definition_folding,[],[f8,f70,f78]) ).
fof(f8,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_5) ).
fof(f158,plain,
( spl26_1
| spl26_5 ),
inference(avatar_split_clause,[],[f77,f155,f136]) ).
fof(f77,plain,
( sk_c10 = sF15
| sk_c10 = sF12 ),
inference(definition_folding,[],[f7,f70,f76]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_4) ).
fof(f153,plain,
( spl26_1
| spl26_4 ),
inference(avatar_split_clause,[],[f75,f150,f136]) ).
fof(f75,plain,
( sk_c9 = sF14
| sk_c10 = sF12 ),
inference(definition_folding,[],[f6,f70,f74]) ).
fof(f6,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_3) ).
fof(f148,plain,
( spl26_1
| spl26_3 ),
inference(avatar_split_clause,[],[f73,f145,f136]) ).
fof(f73,plain,
( sk_c11 = sF13
| sk_c10 = sF12 ),
inference(definition_folding,[],[f5,f70,f72]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_2) ).
fof(f143,plain,
( spl26_1
| spl26_2 ),
inference(avatar_split_clause,[],[f71,f140,f136]) ).
fof(f71,plain,
( sk_c10 = sF11
| sk_c10 = sF12 ),
inference(definition_folding,[],[f4,f70,f69]) ).
fof(f4,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.uUn14cAVCt/Vampire---4.8_18427',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP273-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15 % 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 18:22:44 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 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.uUn14cAVCt/Vampire---4.8_18427
% 0.68/0.89 % (18685)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.68/0.89 % (18686)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.68/0.89 % (18683)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 (2994ds/34Mi)
% 0.68/0.89 % (18684)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 (2994ds/51Mi)
% 0.68/0.89 % (18687)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 (2994ds/34Mi)
% 0.68/0.89 % (18688)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.68/0.89 % (18689)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 (2994ds/83Mi)
% 0.68/0.90 % (18690)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 (2994ds/56Mi)
% 0.68/0.90 % (18683)Refutation not found, incomplete strategy% (18683)------------------------------
% 0.68/0.90 % (18683)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.90 % (18686)Refutation not found, incomplete strategy% (18686)------------------------------
% 0.68/0.90 % (18686)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.90 % (18683)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.90 % (18686)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.90
% 0.68/0.90 % (18686)Memory used [KB]: 1001
% 0.68/0.90 % (18686)Time elapsed: 0.004 s
% 0.68/0.90 % (18686)Instructions burned: 5 (million)
% 0.68/0.90 % (18686)------------------------------
% 0.68/0.90 % (18686)------------------------------
% 0.68/0.90
% 0.68/0.90 % (18683)Memory used [KB]: 1083
% 0.68/0.90 % (18683)Time elapsed: 0.004 s
% 0.68/0.90 % (18683)Instructions burned: 5 (million)
% 0.68/0.90 % (18683)------------------------------
% 0.68/0.90 % (18683)------------------------------
% 0.68/0.90 % (18687)Refutation not found, incomplete strategy% (18687)------------------------------
% 0.68/0.90 % (18687)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.90 % (18687)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.90
% 0.68/0.90 % (18687)Memory used [KB]: 1101
% 0.68/0.90 % (18687)Time elapsed: 0.004 s
% 0.68/0.90 % (18687)Instructions burned: 6 (million)
% 0.68/0.90 % (18687)------------------------------
% 0.68/0.90 % (18687)------------------------------
% 0.68/0.90 % (18690)Refutation not found, incomplete strategy% (18690)------------------------------
% 0.68/0.90 % (18690)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.90 % (18690)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.90
% 0.68/0.90 % (18690)Memory used [KB]: 1085
% 0.68/0.90 % (18690)Time elapsed: 0.003 s
% 0.68/0.90 % (18690)Instructions burned: 5 (million)
% 0.68/0.90 % (18690)------------------------------
% 0.68/0.90 % (18690)------------------------------
% 0.68/0.90 % (18685)Refutation not found, incomplete strategy% (18685)------------------------------
% 0.68/0.90 % (18685)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.90 % (18685)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.90
% 0.68/0.90 % (18685)Memory used [KB]: 1093
% 0.68/0.90 % (18685)Time elapsed: 0.005 s
% 0.68/0.90 % (18685)Instructions burned: 7 (million)
% 0.68/0.90 % (18685)------------------------------
% 0.68/0.90 % (18685)------------------------------
% 0.68/0.90 % (18691)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 (2994ds/55Mi)
% 0.68/0.90 % (18692)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 (2994ds/50Mi)
% 0.68/0.90 % (18693)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 (2994ds/208Mi)
% 0.68/0.90 % (18694)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 (2994ds/52Mi)
% 0.68/0.90 % (18695)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 (2994ds/518Mi)
% 0.68/0.90 % (18692)Refutation not found, incomplete strategy% (18692)------------------------------
% 0.68/0.90 % (18692)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.90 % (18692)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.90
% 0.68/0.90 % (18692)Memory used [KB]: 1075
% 0.68/0.90 % (18692)Time elapsed: 0.005 s
% 0.68/0.90 % (18692)Instructions burned: 8 (million)
% 0.68/0.90 % (18692)------------------------------
% 0.68/0.90 % (18692)------------------------------
% 0.68/0.90 % (18691)Refutation not found, incomplete strategy% (18691)------------------------------
% 0.68/0.90 % (18691)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.90 % (18691)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.90
% 0.68/0.90 % (18691)Memory used [KB]: 1105
% 0.68/0.90 % (18691)Time elapsed: 0.005 s
% 0.68/0.90 % (18691)Instructions burned: 7 (million)
% 0.68/0.90 % (18691)------------------------------
% 0.68/0.90 % (18691)------------------------------
% 0.68/0.90 % (18694)Refutation not found, incomplete strategy% (18694)------------------------------
% 0.68/0.90 % (18694)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.90 % (18694)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.90
% 0.68/0.90 % (18694)Memory used [KB]: 1093
% 0.68/0.90 % (18694)Time elapsed: 0.005 s
% 0.68/0.90 % (18694)Instructions burned: 7 (million)
% 0.68/0.90 % (18694)------------------------------
% 0.68/0.90 % (18694)------------------------------
% 0.68/0.91 % (18696)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 (2994ds/42Mi)
% 0.68/0.91 % (18697)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 (2994ds/243Mi)
% 0.68/0.91 % (18698)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 (2994ds/117Mi)
% 0.68/0.91 % (18696)Refutation not found, incomplete strategy% (18696)------------------------------
% 0.68/0.91 % (18696)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.91 % (18696)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.91
% 0.68/0.91 % (18696)Memory used [KB]: 1102
% 0.68/0.91 % (18696)Time elapsed: 0.004 s
% 0.68/0.91 % (18696)Instructions burned: 5 (million)
% 0.68/0.91 % (18696)------------------------------
% 0.68/0.91 % (18696)------------------------------
% 0.68/0.91 % (18698)Refutation not found, incomplete strategy% (18698)------------------------------
% 0.68/0.91 % (18698)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.91 % (18698)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.91
% 0.68/0.91 % (18698)Memory used [KB]: 1022
% 0.68/0.91 % (18698)Time elapsed: 0.003 s
% 0.68/0.91 % (18698)Instructions burned: 5 (million)
% 0.68/0.91 % (18698)------------------------------
% 0.68/0.91 % (18698)------------------------------
% 0.68/0.91 % (18699)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 (2994ds/143Mi)
% 0.68/0.91 % (18700)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 (2994ds/93Mi)
% 0.68/0.91 % (18688)Instruction limit reached!
% 0.68/0.91 % (18688)------------------------------
% 0.68/0.91 % (18688)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.91 % (18688)Termination reason: Unknown
% 0.68/0.91 % (18688)Termination phase: Saturation
% 0.68/0.91
% 0.68/0.91 % (18688)Memory used [KB]: 1527
% 0.68/0.91 % (18688)Time elapsed: 0.021 s
% 0.68/0.91 % (18688)Instructions burned: 45 (million)
% 0.68/0.91 % (18688)------------------------------
% 0.68/0.91 % (18688)------------------------------
% 0.68/0.92 % (18699)Refutation not found, incomplete strategy% (18699)------------------------------
% 0.68/0.92 % (18699)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.92 % (18699)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.92
% 0.68/0.92 % (18699)Memory used [KB]: 1087
% 0.68/0.92 % (18699)Time elapsed: 0.004 s
% 0.68/0.92 % (18699)Instructions burned: 5 (million)
% 0.68/0.92 % (18699)------------------------------
% 0.68/0.92 % (18699)------------------------------
% 0.68/0.92 % (18702)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 (2994ds/62Mi)
% 0.68/0.92 % (18702)Refutation not found, incomplete strategy% (18702)------------------------------
% 0.68/0.92 % (18702)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.92 % (18702)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.92
% 0.68/0.92 % (18702)Memory used [KB]: 1021
% 0.68/0.92 % (18702)Time elapsed: 0.003 s
% 0.68/0.92 % (18702)Instructions burned: 4 (million)
% 0.68/0.92 % (18702)------------------------------
% 0.68/0.92 % (18702)------------------------------
% 0.68/0.92 % (18704)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 (2994ds/32Mi)
% 0.68/0.92 % (18684)Instruction limit reached!
% 0.68/0.92 % (18684)------------------------------
% 0.68/0.92 % (18684)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.92 % (18684)Termination reason: Unknown
% 0.68/0.92 % (18684)Termination phase: Saturation
% 0.68/0.92
% 0.68/0.92 % (18684)Memory used [KB]: 1719
% 0.68/0.92 % (18684)Time elapsed: 0.028 s
% 0.68/0.92 % (18684)Instructions burned: 52 (million)
% 0.68/0.92 % (18684)------------------------------
% 0.68/0.92 % (18684)------------------------------
% 0.68/0.92 % (18704)Refutation not found, incomplete strategy% (18704)------------------------------
% 0.68/0.92 % (18704)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.92 % (18706)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 (2994ds/1919Mi)
% 0.68/0.92 % (18704)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.92
% 0.68/0.92 % (18704)Memory used [KB]: 1077
% 0.68/0.92 % (18704)Time elapsed: 0.005 s
% 0.68/0.92 % (18704)Instructions burned: 7 (million)
% 0.68/0.92 % (18704)------------------------------
% 0.68/0.92 % (18704)------------------------------
% 0.68/0.92 % (18697)Refutation not found, incomplete strategy% (18697)------------------------------
% 0.68/0.92 % (18697)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.92 % (18697)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.92
% 0.68/0.92 % (18697)Memory used [KB]: 1327
% 0.68/0.92 % (18697)Time elapsed: 0.017 s
% 0.68/0.92 % (18697)Instructions burned: 33 (million)
% 0.68/0.92 % (18697)------------------------------
% 0.68/0.92 % (18697)------------------------------
% 0.68/0.92 % (18707)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 (2994ds/55Mi)
% 0.68/0.93 % (18708)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 (2994ds/53Mi)
% 0.68/0.93 % (18706)Refutation not found, incomplete strategy% (18706)------------------------------
% 0.68/0.93 % (18706)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.93 % (18706)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.93
% 0.68/0.93 % (18706)Memory used [KB]: 1093
% 0.68/0.93 % (18706)Time elapsed: 0.005 s
% 0.68/0.93 % (18706)Instructions burned: 8 (million)
% 0.68/0.93 % (18706)------------------------------
% 0.68/0.93 % (18706)------------------------------
% 0.68/0.93 % (18707)Refutation not found, incomplete strategy% (18707)------------------------------
% 0.68/0.93 % (18707)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.93 % (18707)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.93
% 0.68/0.93 % (18707)Memory used [KB]: 1110
% 0.68/0.93 % (18707)Time elapsed: 0.004 s
% 0.68/0.93 % (18707)Instructions burned: 6 (million)
% 0.68/0.93 % (18707)------------------------------
% 0.68/0.93 % (18707)------------------------------
% 0.68/0.93 % (18709)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 (2994ds/46Mi)
% 0.89/0.93 % (18709)Refutation not found, incomplete strategy% (18709)------------------------------
% 0.89/0.93 % (18709)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.89/0.93 % (18709)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.93 % (18711)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 (2994ds/102Mi)
% 0.89/0.93
% 0.89/0.93 % (18709)Memory used [KB]: 1103
% 0.89/0.93 % (18709)Time elapsed: 0.004 s
% 0.89/0.93 % (18709)Instructions burned: 5 (million)
% 0.89/0.93 % (18709)------------------------------
% 0.89/0.93 % (18709)------------------------------
% 0.89/0.93 % (18712)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 (2994ds/35Mi)
% 0.89/0.93 % (18713)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 0.89/0.93 % (18689)Instruction limit reached!
% 0.89/0.93 % (18689)------------------------------
% 0.89/0.93 % (18689)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.89/0.93 % (18689)Termination reason: Unknown
% 0.89/0.93 % (18689)Termination phase: Saturation
% 0.89/0.93
% 0.89/0.93 % (18689)Memory used [KB]: 2139
% 0.89/0.93 % (18689)Time elapsed: 0.040 s
% 0.89/0.93 % (18689)Instructions burned: 84 (million)
% 0.89/0.93 % (18689)------------------------------
% 0.89/0.93 % (18689)------------------------------
% 0.89/0.94 % (18714)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 (2994ds/109Mi)
% 0.89/0.95 % (18712)Instruction limit reached!
% 0.89/0.95 % (18712)------------------------------
% 0.89/0.95 % (18712)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.89/0.95 % (18712)Termination reason: Unknown
% 0.89/0.95 % (18712)Termination phase: Saturation
% 0.89/0.95
% 0.89/0.95 % (18712)Memory used [KB]: 1171
% 0.89/0.95 % (18712)Time elapsed: 0.017 s
% 0.89/0.95 % (18712)Instructions burned: 35 (million)
% 0.89/0.95 % (18712)------------------------------
% 0.89/0.95 % (18712)------------------------------
% 0.89/0.95 % (18715)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 (2994ds/161Mi)
% 0.89/0.95 % (18708)Instruction limit reached!
% 0.89/0.95 % (18708)------------------------------
% 0.89/0.95 % (18708)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.89/0.95 % (18708)Termination reason: Unknown
% 0.89/0.95 % (18708)Termination phase: Saturation
% 0.89/0.95
% 0.89/0.95 % (18708)Memory used [KB]: 1193
% 0.89/0.95 % (18708)Time elapsed: 0.026 s
% 0.89/0.95 % (18708)Instructions burned: 54 (million)
% 0.89/0.95 % (18708)------------------------------
% 0.89/0.95 % (18708)------------------------------
% 0.89/0.95 % (18715)Refutation not found, incomplete strategy% (18715)------------------------------
% 0.89/0.95 % (18715)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.89/0.95 % (18715)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.95
% 0.89/0.95 % (18715)Memory used [KB]: 998
% 0.89/0.95 % (18715)Time elapsed: 0.004 s
% 0.89/0.95 % (18715)Instructions burned: 5 (million)
% 0.89/0.95 % (18715)------------------------------
% 0.89/0.95 % (18715)------------------------------
% 0.89/0.95 % (18718)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 (2994ds/69Mi)
% 0.89/0.95 % (18719)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 (2994ds/40Mi)
% 0.89/0.96 % (18700)Instruction limit reached!
% 0.89/0.96 % (18700)------------------------------
% 0.89/0.96 % (18700)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.89/0.96 % (18700)Termination reason: Unknown
% 0.89/0.96 % (18700)Termination phase: Saturation
% 0.89/0.96
% 0.89/0.96 % (18700)Memory used [KB]: 2369
% 0.89/0.96 % (18700)Time elapsed: 0.044 s
% 0.89/0.96 % (18700)Instructions burned: 93 (million)
% 0.89/0.96 % (18700)------------------------------
% 0.89/0.96 % (18700)------------------------------
% 0.89/0.96 % (18718)Refutation not found, incomplete strategy% (18718)------------------------------
% 0.89/0.96 % (18718)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.89/0.96 % (18718)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.96
% 0.89/0.96 % (18718)Memory used [KB]: 1108
% 0.89/0.96 % (18718)Time elapsed: 0.004 s
% 0.89/0.96 % (18718)Instructions burned: 6 (million)
% 0.89/0.96 % (18718)------------------------------
% 0.89/0.96 % (18718)------------------------------
% 0.89/0.96 % (18721)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 (2994ds/360Mi)
% 0.89/0.96 % (18722)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 (2994ds/161Mi)
% 0.89/0.97 % (18713)Instruction limit reached!
% 0.89/0.97 % (18713)------------------------------
% 0.89/0.97 % (18713)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.89/0.97 % (18713)Termination reason: Unknown
% 0.89/0.97 % (18713)Termination phase: Saturation
% 0.89/0.97
% 0.89/0.97 % (18713)Memory used [KB]: 1494
% 0.89/0.97 % (18713)Time elapsed: 0.039 s
% 0.89/0.97 % (18713)Instructions burned: 89 (million)
% 0.89/0.97 % (18713)------------------------------
% 0.89/0.97 % (18713)------------------------------
% 0.89/0.97 % (18723)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 (2994ds/80Mi)
% 0.89/0.97 % (18719)Instruction limit reached!
% 0.89/0.97 % (18719)------------------------------
% 0.89/0.97 % (18719)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.89/0.97 % (18719)Termination reason: Unknown
% 0.89/0.97 % (18719)Termination phase: Saturation
% 0.89/0.97
% 0.89/0.97 % (18719)Memory used [KB]: 1493
% 0.89/0.97 % (18719)Time elapsed: 0.021 s
% 0.89/0.97 % (18719)Instructions burned: 42 (million)
% 0.89/0.97 % (18719)------------------------------
% 0.89/0.97 % (18719)------------------------------
% 0.89/0.97 % (18711)Instruction limit reached!
% 0.89/0.97 % (18711)------------------------------
% 0.89/0.97 % (18711)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.89/0.97 % (18711)Termination reason: Unknown
% 0.89/0.97 % (18711)Termination phase: Saturation
% 0.89/0.97
% 0.89/0.97 % (18711)Memory used [KB]: 2270
% 0.89/0.97 % (18711)Time elapsed: 0.047 s
% 0.89/0.97 % (18711)Instructions burned: 103 (million)
% 0.89/0.97 % (18711)------------------------------
% 0.89/0.97 % (18711)------------------------------
% 0.89/0.98 % (18724)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 (2994ds/37Mi)
% 0.89/0.98 % (18726)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 (2994ds/55Mi)
% 0.89/0.98 % (18693)Instruction limit reached!
% 0.89/0.98 % (18693)------------------------------
% 0.89/0.98 % (18693)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.89/0.98 % (18693)Termination reason: Unknown
% 0.89/0.98 % (18693)Termination phase: Saturation
% 0.89/0.98
% 0.89/0.98 % (18693)Memory used [KB]: 2213
% 0.89/0.98 % (18693)Time elapsed: 0.082 s
% 0.89/0.98 % (18693)Instructions burned: 208 (million)
% 0.89/0.98 % (18693)------------------------------
% 0.89/0.98 % (18693)------------------------------
% 0.89/0.98 % (18727)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 (2994ds/47Mi)
% 0.89/0.99 % (18714)Instruction limit reached!
% 0.89/0.99 % (18714)------------------------------
% 0.89/0.99 % (18714)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.89/0.99 % (18714)Termination reason: Unknown
% 0.89/0.99 % (18714)Termination phase: Saturation
% 0.89/0.99
% 0.89/0.99 % (18714)Memory used [KB]: 2310
% 0.89/0.99 % (18714)Time elapsed: 0.051 s
% 0.89/0.99 % (18714)Instructions burned: 109 (million)
% 0.89/0.99 % (18714)------------------------------
% 0.89/0.99 % (18714)------------------------------
% 1.29/0.99 % (18728)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2994ds/32Mi)
% 1.29/0.99 % (18728)Refutation not found, incomplete strategy% (18728)------------------------------
% 1.29/0.99 % (18728)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.29/0.99 % (18728)Termination reason: Refutation not found, incomplete strategy
% 1.29/0.99
% 1.29/0.99 % (18728)Memory used [KB]: 1085
% 1.29/0.99 % (18728)Time elapsed: 0.003 s
% 1.29/0.99 % (18728)Instructions burned: 5 (million)
% 1.29/0.99 % (18728)------------------------------
% 1.29/0.99 % (18728)------------------------------
% 1.29/0.99 % (18730)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 (2993ds/132Mi)
% 1.29/1.00 % (18724)Instruction limit reached!
% 1.29/1.00 % (18724)------------------------------
% 1.29/1.00 % (18724)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.29/1.00 % (18724)Termination reason: Unknown
% 1.29/1.00 % (18724)Termination phase: Saturation
% 1.29/1.00
% 1.29/1.00 % (18724)Memory used [KB]: 1672
% 1.29/1.00 % (18724)Time elapsed: 0.041 s
% 1.29/1.00 % (18724)Instructions burned: 38 (million)
% 1.29/1.00 % (18724)------------------------------
% 1.29/1.00 % (18724)------------------------------
% 1.29/1.00 % (18730)Refutation not found, incomplete strategy% (18730)------------------------------
% 1.29/1.00 % (18730)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.29/1.00 % (18730)Termination reason: Refutation not found, incomplete strategy
% 1.29/1.00
% 1.29/1.00 % (18730)Memory used [KB]: 972
% 1.29/1.00 % (18730)Time elapsed: 0.028 s
% 1.29/1.00 % (18730)Instructions burned: 6 (million)
% 1.29/1.00 % (18730)------------------------------
% 1.29/1.00 % (18730)------------------------------
% 1.29/1.00 % (18731)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 (2993ds/54Mi)
% 1.29/1.00 % (18732)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 (2993ds/82Mi)
% 1.29/1.00 % (18731)Refutation not found, incomplete strategy% (18731)------------------------------
% 1.29/1.00 % (18731)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.29/1.00 % (18731)Termination reason: Refutation not found, incomplete strategy
% 1.29/1.00
% 1.29/1.00 % (18731)Memory used [KB]: 1066
% 1.29/1.00 % (18731)Time elapsed: 0.025 s
% 1.29/1.00 % (18731)Instructions burned: 7 (million)
% 1.29/1.00 % (18731)------------------------------
% 1.29/1.00 % (18731)------------------------------
% 1.29/1.00 % (18726)Instruction limit reached!
% 1.29/1.00 % (18726)------------------------------
% 1.29/1.00 % (18726)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.29/1.00 % (18726)Termination reason: Unknown
% 1.29/1.00 % (18726)Termination phase: Saturation
% 1.29/1.00
% 1.29/1.00 % (18726)Memory used [KB]: 1841
% 1.29/1.00 % (18726)Time elapsed: 0.047 s
% 1.29/1.00 % (18726)Instructions burned: 57 (million)
% 1.29/1.00 % (18726)------------------------------
% 1.29/1.00 % (18726)------------------------------
% 1.29/1.01 % (18733)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 (2993ds/119Mi)
% 1.29/1.01 % (18734)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 (2993ds/177Mi)
% 1.29/1.01 % (18727)Instruction limit reached!
% 1.29/1.01 % (18727)------------------------------
% 1.29/1.01 % (18727)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.29/1.01 % (18727)Termination reason: Unknown
% 1.29/1.01 % (18727)Termination phase: Saturation
% 1.29/1.01
% 1.29/1.01 % (18727)Memory used [KB]: 1596
% 1.29/1.01 % (18727)Time elapsed: 0.048 s
% 1.29/1.01 % (18727)Instructions burned: 48 (million)
% 1.29/1.01 % (18727)------------------------------
% 1.29/1.01 % (18727)------------------------------
% 1.29/1.01 % (18723)Instruction limit reached!
% 1.29/1.01 % (18723)------------------------------
% 1.29/1.01 % (18723)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.29/1.01 % (18723)Termination reason: Unknown
% 1.29/1.01 % (18723)Termination phase: Saturation
% 1.29/1.01
% 1.29/1.01 % (18723)Memory used [KB]: 1335
% 1.29/1.01 % (18723)Time elapsed: 0.058 s
% 1.29/1.01 % (18723)Instructions burned: 82 (million)
% 1.29/1.01 % (18723)------------------------------
% 1.29/1.01 % (18723)------------------------------
% 1.29/1.01 % (18735)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 (2993ds/117Mi)
% 1.29/1.01 % (18736)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 (2993ds/49Mi)
% 1.29/1.03 % (18722)Instruction limit reached!
% 1.29/1.03 % (18722)------------------------------
% 1.29/1.03 % (18722)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.29/1.03 % (18722)Termination reason: Unknown
% 1.29/1.03 % (18722)Termination phase: Saturation
% 1.29/1.03
% 1.29/1.03 % (18722)Memory used [KB]: 2528
% 1.29/1.03 % (18722)Time elapsed: 0.070 s
% 1.29/1.03 % (18722)Instructions burned: 161 (million)
% 1.29/1.03 % (18722)------------------------------
% 1.29/1.03 % (18722)------------------------------
% 1.29/1.03 % (18732)Refutation not found, incomplete strategy% (18732)------------------------------
% 1.29/1.03 % (18732)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.29/1.03 % (18732)Termination reason: Refutation not found, incomplete strategy
% 1.29/1.03
% 1.29/1.03 % (18732)Memory used [KB]: 1282
% 1.29/1.03 % (18732)Time elapsed: 0.031 s
% 1.29/1.03 % (18732)Instructions burned: 72 (million)
% 1.29/1.03 % (18732)------------------------------
% 1.29/1.03 % (18732)------------------------------
% 1.29/1.03 % (18737)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 (2993ds/51Mi)
% 1.29/1.03 % (18738)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 (2993ds/149Mi)
% 1.29/1.04 % (18736)Instruction limit reached!
% 1.29/1.04 % (18736)------------------------------
% 1.29/1.04 % (18736)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.29/1.04 % (18736)Termination reason: Unknown
% 1.29/1.04 % (18736)Termination phase: Saturation
% 1.29/1.04
% 1.29/1.04 % (18736)Memory used [KB]: 1608
% 1.29/1.04 % (18736)Time elapsed: 0.026 s
% 1.29/1.04 % (18736)Instructions burned: 49 (million)
% 1.29/1.04 % (18736)------------------------------
% 1.29/1.04 % (18736)------------------------------
% 1.29/1.04 % (18738)Refutation not found, incomplete strategy% (18738)------------------------------
% 1.29/1.04 % (18738)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.29/1.04 % (18738)Termination reason: Refutation not found, incomplete strategy
% 1.29/1.04
% 1.29/1.04 % (18738)Memory used [KB]: 983
% 1.29/1.04 % (18738)Time elapsed: 0.004 s
% 1.29/1.04 % (18738)Instructions burned: 5 (million)
% 1.29/1.04 % (18738)------------------------------
% 1.29/1.04 % (18738)------------------------------
% 1.29/1.04 % (18740)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 (2993ds/56Mi)
% 1.29/1.04 % (18741)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 (2993ds/289Mi)
% 1.29/1.04 % (18740)Refutation not found, incomplete strategy% (18740)------------------------------
% 1.29/1.04 % (18740)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.29/1.04 % (18740)Termination reason: Refutation not found, incomplete strategy
% 1.29/1.04
% 1.29/1.04 % (18740)Memory used [KB]: 1000
% 1.29/1.04 % (18740)Time elapsed: 0.004 s
% 1.29/1.04 % (18740)Instructions burned: 5 (million)
% 1.29/1.04 % (18740)------------------------------
% 1.29/1.04 % (18740)------------------------------
% 1.29/1.05 % (18742)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 (2993ds/206Mi)
% 1.29/1.05 % (18733)Instruction limit reached!
% 1.29/1.05 % (18733)------------------------------
% 1.29/1.05 % (18733)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.29/1.05 % (18733)Termination reason: Unknown
% 1.29/1.05 % (18733)Termination phase: Saturation
% 1.29/1.05
% 1.29/1.05 % (18733)Memory used [KB]: 1325
% 1.29/1.05 % (18721)First to succeed.
% 1.29/1.05 % (18733)Time elapsed: 0.047 s
% 1.29/1.05 % (18733)Instructions burned: 119 (million)
% 1.29/1.05 % (18733)------------------------------
% 1.29/1.05 % (18733)------------------------------
% 1.29/1.05 % (18744)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 (2993ds/50Mi)
% 1.61/1.06 % (18737)Instruction limit reached!
% 1.61/1.06 % (18737)------------------------------
% 1.61/1.06 % (18737)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.61/1.06 % (18737)Termination reason: Unknown
% 1.61/1.06 % (18737)Termination phase: Saturation
% 1.61/1.06
% 1.61/1.06 % (18737)Memory used [KB]: 1940
% 1.61/1.06 % (18737)Time elapsed: 0.026 s
% 1.61/1.06 % (18737)Instructions burned: 51 (million)
% 1.61/1.06 % (18737)------------------------------
% 1.61/1.06 % (18737)------------------------------
% 1.61/1.06 % (18746)lrs+1011_1:1_to=lpo:drc=off:sil=2000:tgt=full:i=1483:fd=preordered_0 on Vampire---4 for (2993ds/1483Mi)
% 1.61/1.06 % (18721)Refutation found. Thanks to Tanya!
% 1.61/1.06 % SZS status Unsatisfiable for Vampire---4
% 1.61/1.06 % SZS output start Proof for Vampire---4
% See solution above
% 1.61/1.06 % (18721)------------------------------
% 1.61/1.06 % (18721)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.61/1.06 % (18721)Termination reason: Refutation
% 1.61/1.06
% 1.61/1.06 % (18721)Memory used [KB]: 2239
% 1.61/1.06 % (18721)Time elapsed: 0.100 s
% 1.61/1.06 % (18721)Instructions burned: 196 (million)
% 1.61/1.06 % (18721)------------------------------
% 1.61/1.06 % (18721)------------------------------
% 1.61/1.06 % (18616)Success in time 0.687 s
% 1.61/1.06 % Vampire---4.8 exiting
%------------------------------------------------------------------------------