TSTP Solution File: GRP384-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP384-1 : 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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 02:28:47 EDT 2024
% Result : Unsatisfiable 1.29s 0.93s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 95
% Syntax : Number of formulae : 508 ( 40 unt; 0 def)
% Number of atoms : 2321 ( 509 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 3459 (1646 ~;1790 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 24 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 28 con; 0-2 aty)
% Number of variables : 172 ( 172 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2282,plain,
$false,
inference(avatar_sat_refutation,[],[f171,f176,f181,f186,f191,f196,f201,f206,f211,f218,f219,f222,f230,f231,f232,f233,f234,f235,f236,f244,f245,f246,f247,f248,f249,f250,f258,f259,f260,f261,f262,f263,f264,f266,f272,f273,f274,f275,f276,f277,f278,f306,f566,f612,f626,f629,f632,f668,f1060,f1125,f1252,f1428,f1530,f1615,f1621,f1668,f1876,f2127,f2263,f2275,f2281]) ).
fof(f2281,plain,
( ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_22 ),
inference(avatar_contradiction_clause,[],[f2280]) ).
fof(f2280,plain,
( $false
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f2279,f67]) ).
fof(f67,plain,
~ sP2(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f2279,plain,
( sP2(sk_c10)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_22 ),
inference(forward_demodulation,[],[f2278,f2070]) ).
fof(f2070,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15 ),
inference(backward_demodulation,[],[f670,f2069]) ).
fof(f2069,plain,
( sk_c11 = sk_c10
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15 ),
inference(forward_demodulation,[],[f215,f2064]) ).
fof(f2064,plain,
( sk_c10 = sF22
| ~ spl27_1
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15 ),
inference(forward_demodulation,[],[f2063,f1704]) ).
fof(f1704,plain,
( sk_c10 = sk_c9
| ~ spl27_1
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15 ),
inference(forward_demodulation,[],[f838,f1683]) ).
fof(f1683,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl27_1
| ~ spl27_14
| ~ spl27_15 ),
inference(backward_demodulation,[],[f1,f1680]) ).
fof(f1680,plain,
( identity = sk_c11
| ~ spl27_1
| ~ spl27_14
| ~ spl27_15 ),
inference(forward_demodulation,[],[f669,f1670]) ).
fof(f1670,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl27_14
| ~ spl27_15 ),
inference(forward_demodulation,[],[f1658,f1662]) ).
fof(f1662,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c2,X0))
| ~ spl27_14 ),
inference(superposition,[],[f3,f972]) ).
fof(f972,plain,
( sk_c10 = multiply(sk_c1,sk_c2)
| ~ spl27_14 ),
inference(forward_demodulation,[],[f123,f243]) ).
fof(f243,plain,
( sk_c10 = sF24
| ~ spl27_14 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl27_14
<=> sk_c10 = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_14])]) ).
fof(f123,plain,
multiply(sk_c1,sk_c2) = sF24,
introduced(function_definition,[new_symbols(definition,[sF24])]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',associativity) ).
fof(f1658,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = X0
| ~ spl27_15 ),
inference(superposition,[],[f1303,f1626]) ).
fof(f1626,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl27_15 ),
inference(forward_demodulation,[],[f134,f257]) ).
fof(f257,plain,
( sk_c2 = sF25
| ~ spl27_15 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl27_15
<=> sk_c2 = sF25 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_15])]) ).
fof(f134,plain,
inverse(sk_c1) = sF25,
introduced(function_definition,[new_symbols(definition,[sF25])]) ).
fof(f1303,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f1279,f341]) ).
fof(f341,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f326,f1]) ).
fof(f326,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',left_inverse) ).
fof(f1279,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f341,f341]) ).
fof(f669,plain,
( identity = multiply(sk_c10,sk_c11)
| ~ spl27_1 ),
inference(forward_demodulation,[],[f317,f161]) ).
fof(f161,plain,
( sk_c10 = sF12
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl27_1
<=> sk_c10 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1])]) ).
fof(f317,plain,
identity = multiply(sF12,sk_c11),
inference(superposition,[],[f2,f81]) ).
fof(f81,plain,
inverse(sk_c11) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',left_identity) ).
fof(f838,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| ~ spl27_13 ),
inference(forward_demodulation,[],[f112,f229]) ).
fof(f229,plain,
( sk_c10 = sF23
| ~ spl27_13 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl27_13
<=> sk_c10 = sF23 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_13])]) ).
fof(f112,plain,
multiply(sk_c11,sk_c9) = sF23,
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f2063,plain,
( sk_c9 = sF22
| ~ spl27_14
| ~ spl27_15 ),
inference(forward_demodulation,[],[f101,f1670]) ).
fof(f101,plain,
multiply(sk_c10,sk_c9) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f215,plain,
( sk_c11 = sF22
| ~ spl27_12 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl27_12
<=> sk_c11 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_12])]) ).
fof(f670,plain,
( inverse(sk_c11) = sk_c10
| ~ spl27_1 ),
inference(forward_demodulation,[],[f81,f161]) ).
fof(f2278,plain,
( sP2(inverse(sk_c10))
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_22 ),
inference(resolution,[],[f2276,f1918]) ).
fof(f1918,plain,
( ~ sP3(sk_c10)
| ~ spl27_1
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15 ),
inference(forward_demodulation,[],[f68,f1704]) ).
fof(f68,plain,
~ sP3(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f2276,plain,
( ! [X6] :
( sP3(X6)
| sP2(inverse(X6)) )
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_22 ),
inference(forward_demodulation,[],[f302,f2110]) ).
fof(f2110,plain,
( ! [X0] : multiply(X0,sk_c10) = X0
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15 ),
inference(superposition,[],[f1303,f2074]) ).
fof(f2074,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c10
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15 ),
inference(backward_demodulation,[],[f1682,f2069]) ).
fof(f1682,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c11
| ~ spl27_1
| ~ spl27_14
| ~ spl27_15 ),
inference(backward_demodulation,[],[f2,f1680]) ).
fof(f302,plain,
( ! [X6] :
( sP2(inverse(X6))
| sP3(multiply(X6,sk_c10)) )
| ~ spl27_22 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl27_22
<=> ! [X6] :
( sP2(inverse(X6))
| sP3(multiply(X6,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_22])]) ).
fof(f2275,plain,
( ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_18 ),
inference(avatar_contradiction_clause,[],[f2274]) ).
fof(f2274,plain,
( $false
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_18 ),
inference(subsumption_resolution,[],[f2273,f2083]) ).
fof(f2083,plain,
( ~ sP9(sk_c10)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15 ),
inference(forward_demodulation,[],[f74,f2069]) ).
fof(f74,plain,
~ sP9(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f2273,plain,
( sP9(sk_c10)
| ~ spl27_1
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_18 ),
inference(forward_demodulation,[],[f289,f2064]) ).
fof(f289,plain,
( sP9(sF22)
| ~ spl27_18 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl27_18
<=> sP9(sF22) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_18])]) ).
fof(f2263,plain,
( ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(avatar_contradiction_clause,[],[f2262]) ).
fof(f2262,plain,
( $false
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(trivial_inequality_removal,[],[f2261]) ).
fof(f2261,plain,
( sk_c10 != sk_c10
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(duplicate_literal_removal,[],[f2256]) ).
fof(f2256,plain,
( sk_c10 != sk_c10
| sk_c10 != sk_c10
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(superposition,[],[f2190,f2070]) ).
fof(f2190,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| inverse(X0) != X0 )
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(forward_demodulation,[],[f2189,f2110]) ).
fof(f2189,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(forward_demodulation,[],[f2188,f2110]) ).
fof(f2188,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(subsumption_resolution,[],[f2183,f2086]) ).
fof(f2086,plain,
( ~ sP0(sk_c10)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15 ),
inference(forward_demodulation,[],[f65,f2069]) ).
fof(f65,plain,
~ sP0(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2183,plain,
( ! [X0] :
( sP0(sk_c10)
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(superposition,[],[f2178,f2070]) ).
fof(f2178,plain,
( ! [X9,X7] :
( sP0(inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(subsumption_resolution,[],[f2177,f2085]) ).
fof(f2085,plain,
( ~ sP1(sk_c10)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15 ),
inference(forward_demodulation,[],[f66,f2069]) ).
fof(f66,plain,
~ sP1(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2177,plain,
( ! [X9,X7] :
( sP1(sk_c10)
| sP0(inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(backward_demodulation,[],[f2128,f2175]) ).
fof(f2175,plain,
( ! [X0] : sk_c10 = multiply(X0,inverse(X0))
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15 ),
inference(superposition,[],[f1303,f2110]) ).
fof(f2128,plain,
( ! [X9,X7] :
( sP0(inverse(X7))
| sP1(multiply(X7,inverse(X7)))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(forward_demodulation,[],[f305,f2110]) ).
fof(f305,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)) )
| ~ spl27_23 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f304,plain,
( spl27_23
<=> ! [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,[spl27_23])]) ).
fof(f2127,plain,
( ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_21 ),
inference(avatar_contradiction_clause,[],[f2126]) ).
fof(f2126,plain,
( $false
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_21 ),
inference(subsumption_resolution,[],[f2125,f2084]) ).
fof(f2084,plain,
( ~ sP4(sk_c10)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15 ),
inference(forward_demodulation,[],[f69,f2069]) ).
fof(f69,plain,
~ sP4(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f2125,plain,
( sP4(sk_c10)
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_21 ),
inference(forward_demodulation,[],[f2124,f2070]) ).
fof(f2124,plain,
( sP4(inverse(sk_c10))
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_21 ),
inference(resolution,[],[f2116,f70]) ).
fof(f70,plain,
~ sP5(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f2116,plain,
( ! [X5] :
( sP5(X5)
| sP4(inverse(X5)) )
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_21 ),
inference(backward_demodulation,[],[f2087,f2110]) ).
fof(f2087,plain,
( ! [X5] :
( sP5(multiply(X5,sk_c10))
| sP4(inverse(X5)) )
| ~ spl27_1
| ~ spl27_12
| ~ spl27_13
| ~ spl27_14
| ~ spl27_15
| ~ spl27_21 ),
inference(forward_demodulation,[],[f299,f2069]) ).
fof(f299,plain,
( ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c11)) )
| ~ spl27_21 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl27_21
<=> ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_21])]) ).
fof(f1876,plain,
( ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(avatar_contradiction_clause,[],[f1875]) ).
fof(f1875,plain,
( $false
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(trivial_inequality_removal,[],[f1874]) ).
fof(f1874,plain,
( sk_c10 != sk_c10
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(duplicate_literal_removal,[],[f1872]) ).
fof(f1872,plain,
( sk_c10 != sk_c10
| sk_c10 != sk_c10
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(superposition,[],[f1841,f1713]) ).
fof(f1713,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12
| ~ spl27_14
| ~ spl27_15 ),
inference(backward_demodulation,[],[f1694,f1253]) ).
fof(f1253,plain,
( sk_c11 = sk_c10
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12 ),
inference(forward_demodulation,[],[f215,f426]) ).
fof(f426,plain,
( sk_c10 = sF22
| ~ spl27_4
| ~ spl27_5 ),
inference(forward_demodulation,[],[f421,f101]) ).
fof(f421,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl27_4
| ~ spl27_5 ),
inference(superposition,[],[f343,f314]) ).
fof(f314,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl27_4 ),
inference(backward_demodulation,[],[f85,f175]) ).
fof(f175,plain,
( sk_c9 = sF14
| ~ spl27_4 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f173,plain,
( spl27_4
<=> sk_c9 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_4])]) ).
fof(f85,plain,
multiply(sk_c4,sk_c10) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f343,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl27_5 ),
inference(forward_demodulation,[],[f330,f1]) ).
fof(f330,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl27_5 ),
inference(superposition,[],[f3,f319]) ).
fof(f319,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl27_5 ),
inference(superposition,[],[f2,f313]) ).
fof(f313,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl27_5 ),
inference(backward_demodulation,[],[f87,f180]) ).
fof(f180,plain,
( sk_c10 = sF15
| ~ spl27_5 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl27_5
<=> sk_c10 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_5])]) ).
fof(f87,plain,
inverse(sk_c4) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f1694,plain,
( inverse(sk_c11) = sk_c10
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_14
| ~ spl27_15 ),
inference(backward_demodulation,[],[f313,f1692]) ).
fof(f1692,plain,
( sk_c11 = sk_c4
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_14
| ~ spl27_15 ),
inference(forward_demodulation,[],[f1690,f1686]) ).
fof(f1686,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl27_4
| ~ spl27_5
| ~ spl27_14
| ~ spl27_15 ),
inference(forward_demodulation,[],[f1685,f1670]) ).
fof(f1685,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
| ~ spl27_4
| ~ spl27_5
| ~ spl27_14
| ~ spl27_15 ),
inference(forward_demodulation,[],[f428,f1670]) ).
fof(f428,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = multiply(sk_c10,X0)
| ~ spl27_4
| ~ spl27_5 ),
inference(backward_demodulation,[],[f329,f426]) ).
fof(f329,plain,
! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = multiply(sF22,X0),
inference(superposition,[],[f3,f101]) ).
fof(f1690,plain,
( sk_c11 = multiply(sk_c9,sk_c4)
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_14
| ~ spl27_15 ),
inference(backward_demodulation,[],[f1681,f1686]) ).
fof(f1681,plain,
( multiply(sk_c9,sk_c4) = multiply(sk_c9,sk_c11)
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_14
| ~ spl27_15 ),
inference(backward_demodulation,[],[f1677,f1680]) ).
fof(f1677,plain,
( multiply(sk_c9,sk_c4) = multiply(sk_c9,identity)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_14
| ~ spl27_15 ),
inference(backward_demodulation,[],[f361,f1676]) ).
fof(f1676,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,X0)
| ~ spl27_4
| ~ spl27_14
| ~ spl27_15 ),
inference(forward_demodulation,[],[f332,f1670]) ).
fof(f332,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c10,X0))
| ~ spl27_4 ),
inference(superposition,[],[f3,f314]) ).
fof(f361,plain,
( multiply(sk_c9,sk_c4) = multiply(sk_c4,identity)
| ~ spl27_4
| ~ spl27_5 ),
inference(superposition,[],[f332,f319]) ).
fof(f1841,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| inverse(X0) != X0 )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(forward_demodulation,[],[f1840,f1789]) ).
fof(f1789,plain,
( ! [X0] : multiply(X0,sk_c10) = X0
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12
| ~ spl27_14
| ~ spl27_15 ),
inference(superposition,[],[f1303,f1709]) ).
fof(f1709,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c10
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12
| ~ spl27_14
| ~ spl27_15 ),
inference(backward_demodulation,[],[f1682,f1253]) ).
fof(f1840,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(forward_demodulation,[],[f1839,f1789]) ).
fof(f1839,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(subsumption_resolution,[],[f1838,f1717]) ).
fof(f1717,plain,
( ~ sP1(sk_c10)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12 ),
inference(forward_demodulation,[],[f66,f1253]) ).
fof(f1838,plain,
( ! [X0] :
( sP1(sk_c10)
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(forward_demodulation,[],[f1837,f1670]) ).
fof(f1837,plain,
( ! [X0] :
( sP1(multiply(sk_c10,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(subsumption_resolution,[],[f1834,f1718]) ).
fof(f1718,plain,
( ~ sP0(sk_c10)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12 ),
inference(forward_demodulation,[],[f65,f1253]) ).
fof(f1834,plain,
( ! [X0] :
( sP0(sk_c10)
| sP1(multiply(sk_c10,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(superposition,[],[f1795,f1713]) ).
fof(f1795,plain,
( ! [X9,X7] :
( sP0(inverse(X7))
| sP1(multiply(X7,inverse(X7)))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12
| ~ spl27_14
| ~ spl27_15
| ~ spl27_23 ),
inference(backward_demodulation,[],[f305,f1789]) ).
fof(f1668,plain,
( ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_22 ),
inference(avatar_contradiction_clause,[],[f1667]) ).
fof(f1667,plain,
( $false
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_22 ),
inference(subsumption_resolution,[],[f1666,f67]) ).
fof(f1666,plain,
( sP2(sk_c10)
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_22 ),
inference(forward_demodulation,[],[f1665,f1246]) ).
fof(f1246,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f670,f1006]) ).
fof(f1006,plain,
( sk_c11 = sk_c10
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f310,f980]) ).
fof(f980,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f343,f682]) ).
fof(f682,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = multiply(sk_c8,X0)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_13 ),
inference(backward_demodulation,[],[f423,f674]) ).
fof(f674,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c10,X0)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f450,f229]) ).
fof(f450,plain,
( ! [X0] : multiply(sF23,X0) = multiply(sk_c11,X0)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8 ),
inference(forward_demodulation,[],[f436,f334]) ).
fof(f334,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,multiply(sk_c10,X0))
| ~ spl27_8 ),
inference(superposition,[],[f3,f310]) ).
fof(f436,plain,
( ! [X0] : multiply(sF23,X0) = multiply(sk_c8,multiply(sk_c10,X0))
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8 ),
inference(backward_demodulation,[],[f409,f426]) ).
fof(f409,plain,
( ! [X0] : multiply(sF23,X0) = multiply(sk_c8,multiply(sF22,X0))
| ~ spl27_8 ),
inference(superposition,[],[f3,f391]) ).
fof(f391,plain,
( sF23 = multiply(sk_c8,sF22)
| ~ spl27_8 ),
inference(forward_demodulation,[],[f386,f112]) ).
fof(f386,plain,
( multiply(sk_c11,sk_c9) = multiply(sk_c8,sF22)
| ~ spl27_8 ),
inference(superposition,[],[f334,f101]) ).
fof(f423,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c11,multiply(sk_c4,X0))
| ~ spl27_5
| ~ spl27_8 ),
inference(superposition,[],[f334,f343]) ).
fof(f310,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl27_8 ),
inference(backward_demodulation,[],[f93,f195]) ).
fof(f195,plain,
( sk_c11 = sF18
| ~ spl27_8 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl27_8
<=> sk_c11 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_8])]) ).
fof(f93,plain,
multiply(sk_c8,sk_c10) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f1665,plain,
( sP2(inverse(sk_c10))
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_22 ),
inference(resolution,[],[f1637,f1632]) ).
fof(f1632,plain,
( ~ sP3(sk_c10)
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f68,f1624]) ).
fof(f1624,plain,
( sk_c10 = sk_c9
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f1623,f1444]) ).
fof(f1444,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13 ),
inference(backward_demodulation,[],[f980,f1442]) ).
fof(f1442,plain,
( sk_c10 = sk_c8
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13 ),
inference(backward_demodulation,[],[f1441,f1008]) ).
fof(f1008,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl27_4
| ~ spl27_5
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f344,f980]) ).
fof(f344,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl27_7 ),
inference(forward_demodulation,[],[f335,f1]) ).
fof(f335,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl27_7 ),
inference(superposition,[],[f3,f320]) ).
fof(f320,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl27_7 ),
inference(superposition,[],[f2,f311]) ).
fof(f311,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl27_7 ),
inference(backward_demodulation,[],[f91,f190]) ).
fof(f190,plain,
( sk_c8 = sF17
| ~ spl27_7 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl27_7
<=> sk_c8 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_7])]) ).
fof(f91,plain,
inverse(sk_c5) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f1441,plain,
( sk_c10 = multiply(sk_c5,sk_c8)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f89,f1165]) ).
fof(f1165,plain,
( sk_c10 = sF16
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_8
| ~ spl27_13 ),
inference(backward_demodulation,[],[f185,f1006]) ).
fof(f185,plain,
( sk_c11 = sF16
| ~ spl27_6 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl27_6
<=> sk_c11 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_6])]) ).
fof(f89,plain,
multiply(sk_c5,sk_c8) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f1623,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f1492,f1524]) ).
fof(f1524,plain,
( ! [X0] : multiply(X0,sk_c10) = X0
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f1522,f1279]) ).
fof(f1522,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c10) = X0
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13 ),
inference(superposition,[],[f341,f1493]) ).
fof(f1493,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c10
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f2,f1453]) ).
fof(f1453,plain,
( identity = sk_c10
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13 ),
inference(backward_demodulation,[],[f1440,f1444]) ).
fof(f1440,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f669,f1006]) ).
fof(f1492,plain,
( multiply(sk_c10,sk_c10) = multiply(sk_c9,sk_c10)
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f1491,f1484]) ).
fof(f1484,plain,
( sk_c10 = sk_c4
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f1483,f1453]) ).
fof(f1483,plain,
( identity = sk_c4
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f982,f1444]) ).
fof(f982,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_13 ),
inference(backward_demodulation,[],[f684,f980]) ).
fof(f684,plain,
( multiply(sk_c10,sk_c4) = multiply(sk_c8,identity)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_13 ),
inference(backward_demodulation,[],[f387,f674]) ).
fof(f387,plain,
( multiply(sk_c11,sk_c4) = multiply(sk_c8,identity)
| ~ spl27_5
| ~ spl27_8 ),
inference(superposition,[],[f334,f319]) ).
fof(f1491,plain,
( multiply(sk_c4,sk_c10) = multiply(sk_c9,sk_c4)
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f361,f1453]) ).
fof(f1637,plain,
( ! [X6] :
( sP3(X6)
| sP2(inverse(X6)) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_22 ),
inference(forward_demodulation,[],[f302,f1524]) ).
fof(f1621,plain,
( ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_13
| ~ spl27_18 ),
inference(avatar_contradiction_clause,[],[f1620]) ).
fof(f1620,plain,
( $false
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_13
| ~ spl27_18 ),
inference(subsumption_resolution,[],[f1619,f1243]) ).
fof(f1243,plain,
( ~ sP9(sk_c10)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f74,f1006]) ).
fof(f1619,plain,
( sP9(sk_c10)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_18 ),
inference(forward_demodulation,[],[f289,f426]) ).
fof(f1615,plain,
( ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_23 ),
inference(avatar_contradiction_clause,[],[f1614]) ).
fof(f1614,plain,
( $false
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_23 ),
inference(trivial_inequality_removal,[],[f1613]) ).
fof(f1613,plain,
( sk_c10 != sk_c10
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_23 ),
inference(duplicate_literal_removal,[],[f1610]) ).
fof(f1610,plain,
( sk_c10 != sk_c10
| sk_c10 != sk_c10
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_23 ),
inference(superposition,[],[f1582,f1246]) ).
fof(f1582,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| inverse(X0) != X0 )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_23 ),
inference(forward_demodulation,[],[f1581,f1524]) ).
fof(f1581,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_23 ),
inference(forward_demodulation,[],[f1580,f1524]) ).
fof(f1580,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_23 ),
inference(subsumption_resolution,[],[f1579,f1241]) ).
fof(f1241,plain,
( ~ sP1(sk_c10)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f66,f1006]) ).
fof(f1579,plain,
( ! [X0] :
( sP1(sk_c10)
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_23 ),
inference(forward_demodulation,[],[f1578,f1444]) ).
fof(f1578,plain,
( ! [X0] :
( sP1(multiply(sk_c10,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_23 ),
inference(subsumption_resolution,[],[f1576,f1240]) ).
fof(f1240,plain,
( ~ sP0(sk_c10)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f65,f1006]) ).
fof(f1576,plain,
( ! [X0] :
( sP0(sk_c10)
| sP1(multiply(sk_c10,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_23 ),
inference(superposition,[],[f1536,f1246]) ).
fof(f1536,plain,
( ! [X9,X7] :
( sP0(inverse(X7))
| sP1(multiply(X7,inverse(X7)))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_23 ),
inference(forward_demodulation,[],[f305,f1524]) ).
fof(f1530,plain,
( ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_21 ),
inference(avatar_contradiction_clause,[],[f1529]) ).
fof(f1529,plain,
( $false
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_21 ),
inference(subsumption_resolution,[],[f1528,f1242]) ).
fof(f1242,plain,
( ~ sP4(sk_c10)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f69,f1006]) ).
fof(f1528,plain,
( sP4(sk_c10)
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_21 ),
inference(forward_demodulation,[],[f1527,f1246]) ).
fof(f1527,plain,
( sP4(inverse(sk_c10))
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_21 ),
inference(resolution,[],[f1525,f70]) ).
fof(f1525,plain,
( ! [X5] :
( sP5(X5)
| sP4(inverse(X5)) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13
| ~ spl27_21 ),
inference(backward_demodulation,[],[f1495,f1524]) ).
fof(f1495,plain,
( ! [X5] :
( sP5(multiply(X5,sk_c10))
| sP4(inverse(X5)) )
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_13
| ~ spl27_21 ),
inference(forward_demodulation,[],[f299,f1006]) ).
fof(f1428,plain,
( ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13
| ~ spl27_23 ),
inference(avatar_contradiction_clause,[],[f1427]) ).
fof(f1427,plain,
( $false
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13
| ~ spl27_23 ),
inference(trivial_inequality_removal,[],[f1426]) ).
fof(f1426,plain,
( sk_c10 != sk_c10
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13
| ~ spl27_23 ),
inference(duplicate_literal_removal,[],[f1424]) ).
fof(f1424,plain,
( sk_c10 != sk_c10
| sk_c10 != sk_c10
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13
| ~ spl27_23 ),
inference(superposition,[],[f1286,f1219]) ).
fof(f1219,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13 ),
inference(backward_demodulation,[],[f1170,f1211]) ).
fof(f1211,plain,
( sk_c10 = sk_c6
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13 ),
inference(forward_demodulation,[],[f1210,f985]) ).
fof(f985,plain,
( identity = sk_c6
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13 ),
inference(forward_demodulation,[],[f322,f980]) ).
fof(f322,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl27_10 ),
inference(superposition,[],[f2,f308]) ).
fof(f308,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl27_10 ),
inference(backward_demodulation,[],[f97,f205]) ).
fof(f205,plain,
( sk_c8 = sF20
| ~ spl27_10 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl27_10
<=> sk_c8 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_10])]) ).
fof(f97,plain,
inverse(sk_c6) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f1210,plain,
( identity = sk_c10
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13 ),
inference(forward_demodulation,[],[f1209,f1006]) ).
fof(f1209,plain,
( identity = sk_c11
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13 ),
inference(forward_demodulation,[],[f669,f1171]) ).
fof(f1171,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13 ),
inference(backward_demodulation,[],[f1162,f1006]) ).
fof(f1162,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13 ),
inference(backward_demodulation,[],[f980,f1074]) ).
fof(f1074,plain,
( sk_c11 = sk_c8
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13 ),
inference(forward_demodulation,[],[f185,f1011]) ).
fof(f1011,plain,
( sk_c8 = sF16
| ~ spl27_4
| ~ spl27_5
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13 ),
inference(forward_demodulation,[],[f1010,f986]) ).
fof(f986,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13 ),
inference(backward_demodulation,[],[f1,f985]) ).
fof(f1010,plain,
( sF16 = multiply(sk_c6,sk_c8)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13 ),
inference(forward_demodulation,[],[f89,f1004]) ).
fof(f1004,plain,
( sk_c5 = sk_c6
| ~ spl27_4
| ~ spl27_5
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13 ),
inference(forward_demodulation,[],[f1003,f985]) ).
fof(f1003,plain,
( identity = sk_c5
| ~ spl27_4
| ~ spl27_5
| ~ spl27_7
| ~ spl27_8
| ~ spl27_13 ),
inference(forward_demodulation,[],[f320,f980]) ).
fof(f1170,plain,
( sk_c10 = inverse(sk_c6)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13 ),
inference(backward_demodulation,[],[f1161,f1006]) ).
fof(f1161,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13 ),
inference(backward_demodulation,[],[f308,f1074]) ).
fof(f1286,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| inverse(X0) != X0 )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13
| ~ spl27_23 ),
inference(forward_demodulation,[],[f1284,f1283]) ).
fof(f1283,plain,
( ! [X0] : multiply(X0,sk_c10) = X0
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13 ),
inference(backward_demodulation,[],[f1278,f1279]) ).
fof(f1278,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c10) = X0
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13 ),
inference(superposition,[],[f341,f1216]) ).
fof(f1216,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c10
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13 ),
inference(backward_demodulation,[],[f987,f1211]) ).
fof(f987,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c6
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13 ),
inference(backward_demodulation,[],[f2,f985]) ).
fof(f1284,plain,
( ! [X0] :
( inverse(X0) != X0
| sk_c10 != inverse(multiply(X0,sk_c10)) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13
| ~ spl27_23 ),
inference(backward_demodulation,[],[f1269,f1283]) ).
fof(f1269,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13
| ~ spl27_23 ),
inference(subsumption_resolution,[],[f1268,f1241]) ).
fof(f1268,plain,
( ! [X0] :
( sP1(sk_c10)
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13
| ~ spl27_23 ),
inference(forward_demodulation,[],[f1267,f1171]) ).
fof(f1267,plain,
( ! [X0] :
( sP1(multiply(sk_c10,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13
| ~ spl27_23 ),
inference(subsumption_resolution,[],[f1266,f1240]) ).
fof(f1266,plain,
( ! [X0] :
( sP0(sk_c10)
| sP1(multiply(sk_c10,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13
| ~ spl27_23 ),
inference(forward_demodulation,[],[f1264,f1171]) ).
fof(f1264,plain,
( ! [X0] :
( sP0(multiply(sk_c10,sk_c10))
| sP1(multiply(sk_c10,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl27_1
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_13
| ~ spl27_23 ),
inference(superposition,[],[f305,f1219]) ).
fof(f1252,plain,
( ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| spl27_12
| ~ spl27_13 ),
inference(avatar_contradiction_clause,[],[f1251]) ).
fof(f1251,plain,
( $false
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| spl27_12
| ~ spl27_13 ),
inference(subsumption_resolution,[],[f1250,f1006]) ).
fof(f1250,plain,
( sk_c11 != sk_c10
| ~ spl27_4
| ~ spl27_5
| spl27_12 ),
inference(forward_demodulation,[],[f214,f426]) ).
fof(f214,plain,
( sk_c11 != sF22
| spl27_12 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f1125,plain,
( spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_12
| ~ spl27_13 ),
inference(avatar_split_clause,[],[f1124,f227,f213,f203,f193,f188,f183,f178,f173,f168,f163]) ).
fof(f163,plain,
( spl27_2
<=> sk_c10 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_2])]) ).
fof(f168,plain,
( spl27_3
<=> sk_c11 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_3])]) ).
fof(f1124,plain,
( sk_c10 = sF11
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_12
| ~ spl27_13 ),
inference(backward_demodulation,[],[f1094,f1122]) ).
fof(f1122,plain,
( ! [X0] : multiply(sF11,X0) = X0
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_12
| ~ spl27_13 ),
inference(forward_demodulation,[],[f1088,f1082]) ).
fof(f1082,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sF11,X0)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_12
| ~ spl27_13 ),
inference(backward_demodulation,[],[f1014,f1079]) ).
fof(f1079,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_12
| ~ spl27_13 ),
inference(backward_demodulation,[],[f980,f1075]) ).
fof(f1075,plain,
( sk_c10 = sk_c8
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_12
| ~ spl27_13 ),
inference(forward_demodulation,[],[f1074,f878]) ).
fof(f878,plain,
( sk_c11 = sk_c10
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12 ),
inference(forward_demodulation,[],[f215,f426]) ).
fof(f1014,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c10,X0)) = multiply(sF11,X0)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12 ),
inference(superposition,[],[f3,f883]) ).
fof(f883,plain,
( sF11 = multiply(sk_c3,sk_c10)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_12 ),
inference(forward_demodulation,[],[f80,f878]) ).
fof(f80,plain,
multiply(sk_c3,sk_c11) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f1088,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_12
| ~ spl27_13 ),
inference(backward_demodulation,[],[f680,f1079]) ).
fof(f680,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_8
| ~ spl27_13 ),
inference(backward_demodulation,[],[f342,f674]) ).
fof(f342,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl27_3 ),
inference(forward_demodulation,[],[f328,f1]) ).
fof(f328,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl27_3 ),
inference(superposition,[],[f3,f318]) ).
fof(f318,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl27_3 ),
inference(superposition,[],[f2,f315]) ).
fof(f315,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl27_3 ),
inference(backward_demodulation,[],[f83,f170]) ).
fof(f170,plain,
( sk_c11 = sF13
| ~ spl27_3 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f83,plain,
inverse(sk_c3) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f1094,plain,
( sF11 = multiply(sF11,sk_c10)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_12
| ~ spl27_13 ),
inference(backward_demodulation,[],[f883,f1082]) ).
fof(f1060,plain,
( ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_20 ),
inference(avatar_contradiction_clause,[],[f1059]) ).
fof(f1059,plain,
( $false
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_20 ),
inference(subsumption_resolution,[],[f1058,f72]) ).
fof(f72,plain,
~ sP7(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1058,plain,
( sP7(sk_c10)
| ~ spl27_14
| ~ spl27_15
| ~ spl27_16
| ~ spl27_20 ),
inference(forward_demodulation,[],[f1057,f972]) ).
fof(f1057,plain,
( sP7(multiply(sk_c1,sk_c2))
| ~ spl27_15
| ~ spl27_16
| ~ spl27_20 ),
inference(subsumption_resolution,[],[f1056,f71]) ).
fof(f71,plain,
~ sP6(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1056,plain,
( sP6(sk_c10)
| sP7(multiply(sk_c1,sk_c2))
| ~ spl27_15
| ~ spl27_16
| ~ spl27_20 ),
inference(forward_demodulation,[],[f1034,f977]) ).
fof(f977,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| ~ spl27_16 ),
inference(forward_demodulation,[],[f145,f271]) ).
fof(f271,plain,
( sk_c10 = sF26
| ~ spl27_16 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl27_16
<=> sk_c10 = sF26 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_16])]) ).
fof(f145,plain,
multiply(sk_c2,sk_c9) = sF26,
introduced(function_definition,[new_symbols(definition,[sF26])]) ).
fof(f1034,plain,
( sP6(multiply(sk_c2,sk_c9))
| sP7(multiply(sk_c1,sk_c2))
| ~ spl27_15
| ~ spl27_20 ),
inference(superposition,[],[f296,f865]) ).
fof(f865,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl27_15 ),
inference(backward_demodulation,[],[f134,f257]) ).
fof(f296,plain,
( ! [X3] :
( sP6(multiply(inverse(X3),sk_c9))
| sP7(multiply(X3,inverse(X3))) )
| ~ spl27_20 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl27_20
<=> ! [X3] :
( sP6(multiply(inverse(X3),sk_c9))
| sP7(multiply(X3,inverse(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_20])]) ).
fof(f668,plain,
( ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_20 ),
inference(avatar_contradiction_clause,[],[f667]) ).
fof(f667,plain,
( $false
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_20 ),
inference(subsumption_resolution,[],[f666,f72]) ).
fof(f666,plain,
( sP7(sk_c10)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_20 ),
inference(forward_demodulation,[],[f665,f622]) ).
fof(f622,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f553,f161]) ).
fof(f553,plain,
( sF12 = inverse(sk_c10)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f81,f548]) ).
fof(f548,plain,
( sk_c11 = sk_c10
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f546,f539]) ).
fof(f539,plain,
( sk_c10 = inverse(identity)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f313,f538]) ).
fof(f538,plain,
( identity = sk_c4
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f536,f532]) ).
fof(f532,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f522,f519]) ).
fof(f519,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f503,f497]) ).
fof(f497,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f482,f495]) ).
fof(f495,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f467,f482]) ).
fof(f467,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c11,multiply(sk_c5,X0))
| ~ spl27_6
| ~ spl27_7 ),
inference(superposition,[],[f333,f344]) ).
fof(f333,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl27_6 ),
inference(superposition,[],[f3,f312]) ).
fof(f312,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl27_6 ),
inference(backward_demodulation,[],[f89,f185]) ).
fof(f482,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c5,X0)) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f344,f469]) ).
fof(f469,plain,
( sk_c11 = sk_c8
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f465,f464]) ).
fof(f464,plain,
( sk_c11 = multiply(sk_c8,sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(superposition,[],[f344,f380]) ).
fof(f380,plain,
( sk_c11 = multiply(sk_c5,sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_8 ),
inference(forward_demodulation,[],[f376,f349]) ).
fof(f349,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl27_2
| ~ spl27_3 ),
inference(superposition,[],[f342,f316]) ).
fof(f316,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl27_2 ),
inference(backward_demodulation,[],[f80,f165]) ).
fof(f165,plain,
( sk_c10 = sF11
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f376,plain,
( multiply(sk_c11,sk_c10) = multiply(sk_c5,sk_c11)
| ~ spl27_6
| ~ spl27_8 ),
inference(superposition,[],[f333,f310]) ).
fof(f465,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl27_6
| ~ spl27_7 ),
inference(superposition,[],[f344,f312]) ).
fof(f503,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f355,f497]) ).
fof(f355,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c10,X0))
| ~ spl27_2
| ~ spl27_3 ),
inference(superposition,[],[f342,f331]) ).
fof(f331,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl27_2 ),
inference(superposition,[],[f3,f316]) ).
fof(f522,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f428,f519]) ).
fof(f536,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f530,f532]) ).
fof(f530,plain,
( multiply(sk_c9,sk_c4) = multiply(sk_c9,identity)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f361,f520]) ).
fof(f520,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,X0)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f332,f519]) ).
fof(f546,plain,
( sk_c11 = inverse(identity)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f315,f545]) ).
fof(f545,plain,
( identity = sk_c3
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(forward_demodulation,[],[f524,f519]) ).
fof(f524,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f517,f519]) ).
fof(f517,plain,
( multiply(sk_c10,sk_c3) = multiply(sk_c10,identity)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f353,f502]) ).
fof(f502,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c10,X0)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f331,f497]) ).
fof(f353,plain,
( multiply(sk_c10,sk_c3) = multiply(sk_c3,identity)
| ~ spl27_2
| ~ spl27_3 ),
inference(superposition,[],[f331,f318]) ).
fof(f665,plain,
( sP7(inverse(sk_c10))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_20 ),
inference(forward_demodulation,[],[f664,f519]) ).
fof(f664,plain,
( sP7(multiply(sk_c10,inverse(sk_c10)))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_20 ),
inference(subsumption_resolution,[],[f649,f71]) ).
fof(f649,plain,
( sP6(sk_c10)
| sP7(multiply(sk_c10,inverse(sk_c10)))
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_20 ),
inference(superposition,[],[f634,f570]) ).
fof(f570,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c10
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f2,f568]) ).
fof(f568,plain,
( identity = sk_c10
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f557,f504]) ).
fof(f504,plain,
( ! [X0] : multiply(sF12,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f406,f497]) ).
fof(f406,plain,
! [X0] : multiply(sF12,multiply(sk_c11,X0)) = X0,
inference(forward_demodulation,[],[f405,f1]) ).
fof(f405,plain,
! [X0] : multiply(identity,X0) = multiply(sF12,multiply(sk_c11,X0)),
inference(superposition,[],[f3,f317]) ).
fof(f557,plain,
( identity = multiply(sF12,sk_c10)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f317,f548]) ).
fof(f634,plain,
( ! [X3] :
( sP6(multiply(inverse(X3),sk_c10))
| sP7(multiply(X3,inverse(X3))) )
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_20 ),
inference(forward_demodulation,[],[f296,f537]) ).
fof(f537,plain,
( sk_c10 = sk_c9
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f375,f532]) ).
fof(f375,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(forward_demodulation,[],[f373,f314]) ).
fof(f373,plain,
( multiply(sk_c4,sk_c10) = multiply(sk_c9,sk_c10)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4 ),
inference(superposition,[],[f332,f369]) ).
fof(f369,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl27_2
| ~ spl27_3 ),
inference(forward_demodulation,[],[f367,f316]) ).
fof(f367,plain,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl27_2
| ~ spl27_3 ),
inference(superposition,[],[f331,f349]) ).
fof(f632,plain,
( ~ spl27_13
| ~ spl27_19 ),
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f631,plain,
( $false
| ~ spl27_13
| ~ spl27_19 ),
inference(subsumption_resolution,[],[f630,f73]) ).
fof(f73,plain,
~ sP8(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f630,plain,
( sP8(sk_c10)
| ~ spl27_13
| ~ spl27_19 ),
inference(forward_demodulation,[],[f293,f229]) ).
fof(f293,plain,
( sP8(sF23)
| ~ spl27_19 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl27_19
<=> sP8(sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_19])]) ).
fof(f629,plain,
( ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_18 ),
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f628,plain,
( $false
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_18 ),
inference(subsumption_resolution,[],[f627,f552]) ).
fof(f552,plain,
( ~ sP9(sk_c10)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f74,f548]) ).
fof(f627,plain,
( sP9(sk_c10)
| ~ spl27_4
| ~ spl27_5
| ~ spl27_18 ),
inference(forward_demodulation,[],[f289,f426]) ).
fof(f626,plain,
( ~ spl27_17
| ~ spl27_1 ),
inference(avatar_split_clause,[],[f623,f159,f283]) ).
fof(f283,plain,
( spl27_17
<=> sP10(sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_17])]) ).
fof(f623,plain,
( ~ sP10(sk_c10)
| ~ spl27_1 ),
inference(backward_demodulation,[],[f156,f161]) ).
fof(f156,plain,
~ sP10(sF12),
inference(definition_folding,[],[f75,f81]) ).
fof(f75,plain,
~ sP10(inverse(sk_c11)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f612,plain,
( spl27_1
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11 ),
inference(avatar_split_clause,[],[f611,f208,f203,f198,f193,f188,f183,f178,f173,f168,f163,f159]) ).
fof(f198,plain,
( spl27_9
<=> sk_c6 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_9])]) ).
fof(f208,plain,
( spl27_11
<=> sk_c6 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_11])]) ).
fof(f611,plain,
( sk_c10 = sF12
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11 ),
inference(forward_demodulation,[],[f610,f553]) ).
fof(f610,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11 ),
inference(backward_demodulation,[],[f599,f596]) ).
fof(f596,plain,
( sk_c10 = sk_c7
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10 ),
inference(backward_demodulation,[],[f571,f510]) ).
fof(f510,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10 ),
inference(backward_demodulation,[],[f483,f497]) ).
fof(f483,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10 ),
inference(backward_demodulation,[],[f348,f469]) ).
fof(f348,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| ~ spl27_10 ),
inference(forward_demodulation,[],[f347,f1]) ).
fof(f347,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl27_10 ),
inference(superposition,[],[f3,f322]) ).
fof(f571,plain,
( sk_c10 = multiply(sk_c6,sk_c7)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9 ),
inference(backward_demodulation,[],[f321,f568]) ).
fof(f321,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl27_9 ),
inference(superposition,[],[f2,f309]) ).
fof(f309,plain,
( inverse(sk_c7) = sk_c6
| ~ spl27_9 ),
inference(backward_demodulation,[],[f95,f200]) ).
fof(f200,plain,
( sk_c6 = sF19
| ~ spl27_9 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f95,plain,
inverse(sk_c7) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f599,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11 ),
inference(backward_demodulation,[],[f309,f594]) ).
fof(f594,plain,
( sk_c10 = sk_c6
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_10
| ~ spl27_11 ),
inference(backward_demodulation,[],[f488,f510]) ).
fof(f488,plain,
( sk_c6 = multiply(sk_c6,sk_c10)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_11 ),
inference(forward_demodulation,[],[f472,f397]) ).
fof(f397,plain,
( multiply(sk_c6,sk_c10) = multiply(sk_c7,sk_c11)
| ~ spl27_8
| ~ spl27_11 ),
inference(superposition,[],[f336,f310]) ).
fof(f336,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| ~ spl27_11 ),
inference(superposition,[],[f3,f307]) ).
fof(f307,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl27_11 ),
inference(backward_demodulation,[],[f99,f210]) ).
fof(f210,plain,
( sk_c6 = sF21
| ~ spl27_11 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f99,plain,
multiply(sk_c7,sk_c8) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f472,plain,
( sk_c6 = multiply(sk_c7,sk_c11)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8
| ~ spl27_11 ),
inference(backward_demodulation,[],[f307,f469]) ).
fof(f566,plain,
( spl27_13
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(avatar_split_clause,[],[f558,f193,f188,f183,f178,f173,f168,f163,f227]) ).
fof(f558,plain,
( sk_c10 = sF23
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(backward_demodulation,[],[f440,f548]) ).
fof(f440,plain,
( sk_c11 = sF23
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5 ),
inference(forward_demodulation,[],[f430,f349]) ).
fof(f430,plain,
( sF23 = multiply(sk_c11,sk_c10)
| ~ spl27_2
| ~ spl27_3
| ~ spl27_4
| ~ spl27_5 ),
inference(backward_demodulation,[],[f365,f426]) ).
fof(f365,plain,
( sF23 = multiply(sk_c11,sF22)
| ~ spl27_2
| ~ spl27_3 ),
inference(superposition,[],[f342,f357]) ).
fof(f357,plain,
( sF22 = multiply(sk_c3,sF23)
| ~ spl27_2 ),
inference(forward_demodulation,[],[f352,f101]) ).
fof(f352,plain,
( multiply(sk_c10,sk_c9) = multiply(sk_c3,sF23)
| ~ spl27_2 ),
inference(superposition,[],[f331,f112]) ).
fof(f306,plain,
( spl27_17
| spl27_18
| spl27_19
| spl27_20
| spl27_21
| spl27_22
| spl27_23 ),
inference(avatar_split_clause,[],[f157,f304,f301,f298,f295,f291,f287,f283]) ).
fof(f157,plain,
! [X3,X6,X9,X7,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(multiply(inverse(X3),sk_c9))
| sP7(multiply(X3,inverse(X3)))
| sP8(sF23)
| sP9(sF22)
| sP10(sk_c10) ),
inference(definition_folding,[],[f79,f101,f112]) ).
fof(f79,plain,
! [X3,X6,X9,X7,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(multiply(inverse(X3),sk_c9))
| sP7(multiply(X3,inverse(X3)))
| sP8(multiply(sk_c11,sk_c9))
| sP9(multiply(sk_c10,sk_c9))
| sP10(sk_c10) ),
inference(equality_resolution,[],[f78]) ).
fof(f78,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(multiply(X4,sk_c9))
| inverse(X3) != X4
| sP7(multiply(X3,X4))
| sP8(multiply(sk_c11,sk_c9))
| sP9(multiply(sk_c10,sk_c9))
| sP10(sk_c10) ),
inference(equality_resolution,[],[f77]) ).
fof(f77,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(multiply(X4,sk_c9))
| inverse(X3) != X4
| sP7(multiply(X3,X4))
| sP8(multiply(sk_c11,sk_c9))
| sP9(multiply(sk_c10,sk_c9))
| sP10(sk_c10) ),
inference(equality_resolution,[],[f76]) ).
fof(f76,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(multiply(X4,sk_c9))
| inverse(X3) != X4
| sP7(multiply(X3,X4))
| sP8(multiply(sk_c11,sk_c9))
| sP9(multiply(sk_c10,sk_c9))
| sP10(sk_c10) ),
inference(inequality_splitting,[],[f64,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65]) ).
fof(f64,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_c10 != multiply(X4,sk_c9)
| inverse(X3) != X4
| sk_c10 != multiply(X3,X4)
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c11 != multiply(sk_c10,sk_c9)
| inverse(sk_c11) != sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_61) ).
fof(f278,plain,
( spl27_16
| spl27_8 ),
inference(avatar_split_clause,[],[f152,f193,f269]) ).
fof(f152,plain,
( sk_c11 = sF18
| sk_c10 = sF26 ),
inference(definition_folding,[],[f60,f145,f93]) ).
fof(f60,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_57) ).
fof(f277,plain,
( spl27_16
| spl27_7 ),
inference(avatar_split_clause,[],[f151,f188,f269]) ).
fof(f151,plain,
( sk_c8 = sF17
| sk_c10 = sF26 ),
inference(definition_folding,[],[f59,f145,f91]) ).
fof(f59,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_56) ).
fof(f276,plain,
( spl27_16
| spl27_6 ),
inference(avatar_split_clause,[],[f150,f183,f269]) ).
fof(f150,plain,
( sk_c11 = sF16
| sk_c10 = sF26 ),
inference(definition_folding,[],[f58,f145,f89]) ).
fof(f58,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_55) ).
fof(f275,plain,
( spl27_16
| spl27_5 ),
inference(avatar_split_clause,[],[f149,f178,f269]) ).
fof(f149,plain,
( sk_c10 = sF15
| sk_c10 = sF26 ),
inference(definition_folding,[],[f57,f145,f87]) ).
fof(f57,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_54) ).
fof(f274,plain,
( spl27_16
| spl27_4 ),
inference(avatar_split_clause,[],[f148,f173,f269]) ).
fof(f148,plain,
( sk_c9 = sF14
| sk_c10 = sF26 ),
inference(definition_folding,[],[f56,f145,f85]) ).
fof(f56,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_53) ).
fof(f273,plain,
( spl27_16
| spl27_3 ),
inference(avatar_split_clause,[],[f147,f168,f269]) ).
fof(f147,plain,
( sk_c11 = sF13
| sk_c10 = sF26 ),
inference(definition_folding,[],[f55,f145,f83]) ).
fof(f55,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_52) ).
fof(f272,plain,
( spl27_16
| spl27_2 ),
inference(avatar_split_clause,[],[f146,f163,f269]) ).
fof(f146,plain,
( sk_c10 = sF11
| sk_c10 = sF26 ),
inference(definition_folding,[],[f54,f145,f80]) ).
fof(f54,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_51) ).
fof(f266,plain,
( spl27_15
| spl27_10 ),
inference(avatar_split_clause,[],[f143,f203,f255]) ).
fof(f143,plain,
( sk_c8 = sF20
| sk_c2 = sF25 ),
inference(definition_folding,[],[f52,f134,f97]) ).
fof(f52,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_49) ).
fof(f264,plain,
( spl27_15
| spl27_8 ),
inference(avatar_split_clause,[],[f141,f193,f255]) ).
fof(f141,plain,
( sk_c11 = sF18
| sk_c2 = sF25 ),
inference(definition_folding,[],[f50,f134,f93]) ).
fof(f50,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_47) ).
fof(f263,plain,
( spl27_15
| spl27_7 ),
inference(avatar_split_clause,[],[f140,f188,f255]) ).
fof(f140,plain,
( sk_c8 = sF17
| sk_c2 = sF25 ),
inference(definition_folding,[],[f49,f134,f91]) ).
fof(f49,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_46) ).
fof(f262,plain,
( spl27_15
| spl27_6 ),
inference(avatar_split_clause,[],[f139,f183,f255]) ).
fof(f139,plain,
( sk_c11 = sF16
| sk_c2 = sF25 ),
inference(definition_folding,[],[f48,f134,f89]) ).
fof(f48,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_45) ).
fof(f261,plain,
( spl27_15
| spl27_5 ),
inference(avatar_split_clause,[],[f138,f178,f255]) ).
fof(f138,plain,
( sk_c10 = sF15
| sk_c2 = sF25 ),
inference(definition_folding,[],[f47,f134,f87]) ).
fof(f47,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_44) ).
fof(f260,plain,
( spl27_15
| spl27_4 ),
inference(avatar_split_clause,[],[f137,f173,f255]) ).
fof(f137,plain,
( sk_c9 = sF14
| sk_c2 = sF25 ),
inference(definition_folding,[],[f46,f134,f85]) ).
fof(f46,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_43) ).
fof(f259,plain,
( spl27_15
| spl27_3 ),
inference(avatar_split_clause,[],[f136,f168,f255]) ).
fof(f136,plain,
( sk_c11 = sF13
| sk_c2 = sF25 ),
inference(definition_folding,[],[f45,f134,f83]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_42) ).
fof(f258,plain,
( spl27_15
| spl27_2 ),
inference(avatar_split_clause,[],[f135,f163,f255]) ).
fof(f135,plain,
( sk_c10 = sF11
| sk_c2 = sF25 ),
inference(definition_folding,[],[f44,f134,f80]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_41) ).
fof(f250,plain,
( spl27_14
| spl27_8 ),
inference(avatar_split_clause,[],[f130,f193,f241]) ).
fof(f130,plain,
( sk_c11 = sF18
| sk_c10 = sF24 ),
inference(definition_folding,[],[f40,f123,f93]) ).
fof(f40,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_37) ).
fof(f249,plain,
( spl27_14
| spl27_7 ),
inference(avatar_split_clause,[],[f129,f188,f241]) ).
fof(f129,plain,
( sk_c8 = sF17
| sk_c10 = sF24 ),
inference(definition_folding,[],[f39,f123,f91]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_36) ).
fof(f248,plain,
( spl27_14
| spl27_6 ),
inference(avatar_split_clause,[],[f128,f183,f241]) ).
fof(f128,plain,
( sk_c11 = sF16
| sk_c10 = sF24 ),
inference(definition_folding,[],[f38,f123,f89]) ).
fof(f38,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_35) ).
fof(f247,plain,
( spl27_14
| spl27_5 ),
inference(avatar_split_clause,[],[f127,f178,f241]) ).
fof(f127,plain,
( sk_c10 = sF15
| sk_c10 = sF24 ),
inference(definition_folding,[],[f37,f123,f87]) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_34) ).
fof(f246,plain,
( spl27_14
| spl27_4 ),
inference(avatar_split_clause,[],[f126,f173,f241]) ).
fof(f126,plain,
( sk_c9 = sF14
| sk_c10 = sF24 ),
inference(definition_folding,[],[f36,f123,f85]) ).
fof(f36,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c10 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_33) ).
fof(f245,plain,
( spl27_14
| spl27_3 ),
inference(avatar_split_clause,[],[f125,f168,f241]) ).
fof(f125,plain,
( sk_c11 = sF13
| sk_c10 = sF24 ),
inference(definition_folding,[],[f35,f123,f83]) ).
fof(f35,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_32) ).
fof(f244,plain,
( spl27_14
| spl27_2 ),
inference(avatar_split_clause,[],[f124,f163,f241]) ).
fof(f124,plain,
( sk_c10 = sF11
| sk_c10 = sF24 ),
inference(definition_folding,[],[f34,f123,f80]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_31) ).
fof(f236,plain,
( spl27_13
| spl27_8 ),
inference(avatar_split_clause,[],[f119,f193,f227]) ).
fof(f119,plain,
( sk_c11 = sF18
| sk_c10 = sF23 ),
inference(definition_folding,[],[f30,f112,f93]) ).
fof(f30,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_27) ).
fof(f235,plain,
( spl27_13
| spl27_7 ),
inference(avatar_split_clause,[],[f118,f188,f227]) ).
fof(f118,plain,
( sk_c8 = sF17
| sk_c10 = sF23 ),
inference(definition_folding,[],[f29,f112,f91]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_26) ).
fof(f234,plain,
( spl27_13
| spl27_6 ),
inference(avatar_split_clause,[],[f117,f183,f227]) ).
fof(f117,plain,
( sk_c11 = sF16
| sk_c10 = sF23 ),
inference(definition_folding,[],[f28,f112,f89]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_25) ).
fof(f233,plain,
( spl27_13
| spl27_5 ),
inference(avatar_split_clause,[],[f116,f178,f227]) ).
fof(f116,plain,
( sk_c10 = sF15
| sk_c10 = sF23 ),
inference(definition_folding,[],[f27,f112,f87]) ).
fof(f27,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_24) ).
fof(f232,plain,
( spl27_13
| spl27_4 ),
inference(avatar_split_clause,[],[f115,f173,f227]) ).
fof(f115,plain,
( sk_c9 = sF14
| sk_c10 = sF23 ),
inference(definition_folding,[],[f26,f112,f85]) ).
fof(f26,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_23) ).
fof(f231,plain,
( spl27_13
| spl27_3 ),
inference(avatar_split_clause,[],[f114,f168,f227]) ).
fof(f114,plain,
( sk_c11 = sF13
| sk_c10 = sF23 ),
inference(definition_folding,[],[f25,f112,f83]) ).
fof(f25,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_22) ).
fof(f230,plain,
( spl27_13
| spl27_2 ),
inference(avatar_split_clause,[],[f113,f163,f227]) ).
fof(f113,plain,
( sk_c10 = sF11
| sk_c10 = sF23 ),
inference(definition_folding,[],[f24,f112,f80]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_21) ).
fof(f222,plain,
( spl27_12
| spl27_8 ),
inference(avatar_split_clause,[],[f108,f193,f213]) ).
fof(f108,plain,
( sk_c11 = sF18
| sk_c11 = sF22 ),
inference(definition_folding,[],[f20,f101,f93]) ).
fof(f20,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = multiply(sk_c10,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_17) ).
fof(f219,plain,
( spl27_12
| spl27_5 ),
inference(avatar_split_clause,[],[f105,f178,f213]) ).
fof(f105,plain,
( sk_c10 = sF15
| sk_c11 = sF22 ),
inference(definition_folding,[],[f17,f101,f87]) ).
fof(f17,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = multiply(sk_c10,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_14) ).
fof(f218,plain,
( spl27_12
| spl27_4 ),
inference(avatar_split_clause,[],[f104,f173,f213]) ).
fof(f104,plain,
( sk_c9 = sF14
| sk_c11 = sF22 ),
inference(definition_folding,[],[f16,f101,f85]) ).
fof(f16,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c11 = multiply(sk_c10,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_13) ).
fof(f211,plain,
( spl27_1
| spl27_11 ),
inference(avatar_split_clause,[],[f100,f208,f159]) ).
fof(f100,plain,
( sk_c6 = sF21
| sk_c10 = sF12 ),
inference(definition_folding,[],[f13,f81,f99]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_10) ).
fof(f206,plain,
( spl27_1
| spl27_10 ),
inference(avatar_split_clause,[],[f98,f203,f159]) ).
fof(f98,plain,
( sk_c8 = sF20
| sk_c10 = sF12 ),
inference(definition_folding,[],[f12,f81,f97]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c6)
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_9) ).
fof(f201,plain,
( spl27_1
| spl27_9 ),
inference(avatar_split_clause,[],[f96,f198,f159]) ).
fof(f96,plain,
( sk_c6 = sF19
| sk_c10 = sF12 ),
inference(definition_folding,[],[f11,f81,f95]) ).
fof(f11,axiom,
( inverse(sk_c7) = sk_c6
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_8) ).
fof(f196,plain,
( spl27_1
| spl27_8 ),
inference(avatar_split_clause,[],[f94,f193,f159]) ).
fof(f94,plain,
( sk_c11 = sF18
| sk_c10 = sF12 ),
inference(definition_folding,[],[f10,f81,f93]) ).
fof(f10,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_7) ).
fof(f191,plain,
( spl27_1
| spl27_7 ),
inference(avatar_split_clause,[],[f92,f188,f159]) ).
fof(f92,plain,
( sk_c8 = sF17
| sk_c10 = sF12 ),
inference(definition_folding,[],[f9,f81,f91]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_6) ).
fof(f186,plain,
( spl27_1
| spl27_6 ),
inference(avatar_split_clause,[],[f90,f183,f159]) ).
fof(f90,plain,
( sk_c11 = sF16
| sk_c10 = sF12 ),
inference(definition_folding,[],[f8,f81,f89]) ).
fof(f8,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_5) ).
fof(f181,plain,
( spl27_1
| spl27_5 ),
inference(avatar_split_clause,[],[f88,f178,f159]) ).
fof(f88,plain,
( sk_c10 = sF15
| sk_c10 = sF12 ),
inference(definition_folding,[],[f7,f81,f87]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c4)
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_4) ).
fof(f176,plain,
( spl27_1
| spl27_4 ),
inference(avatar_split_clause,[],[f86,f173,f159]) ).
fof(f86,plain,
( sk_c9 = sF14
| sk_c10 = sF12 ),
inference(definition_folding,[],[f6,f81,f85]) ).
fof(f6,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_3) ).
fof(f171,plain,
( spl27_1
| spl27_3 ),
inference(avatar_split_clause,[],[f84,f168,f159]) ).
fof(f84,plain,
( sk_c11 = sF13
| sk_c10 = sF12 ),
inference(definition_folding,[],[f5,f81,f83]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c3)
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/tmp/tmp.Mv4mxOcsC5/Vampire---4.8_17464',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP384-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.15 % 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 : n007.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 18:14:18 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.Mv4mxOcsC5/Vampire---4.8_17464
% 0.62/0.82 % (17684)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.82 % (17685)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.82 % (17682)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 (2995ds/34Mi)
% 0.62/0.82 % (17683)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 (2995ds/51Mi)
% 0.62/0.82 % (17688)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 (2995ds/83Mi)
% 0.62/0.82 % (17686)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 (2995ds/34Mi)
% 0.62/0.82 % (17687)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.82 % (17689)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 (2995ds/56Mi)
% 0.62/0.82 % (17685)Refutation not found, incomplete strategy% (17685)------------------------------
% 0.62/0.82 % (17685)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82 % (17682)Refutation not found, incomplete strategy% (17682)------------------------------
% 0.62/0.82 % (17682)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82 % (17682)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82
% 0.62/0.82 % (17682)Memory used [KB]: 1098
% 0.62/0.82 % (17682)Time elapsed: 0.005 s
% 0.62/0.82 % (17682)Instructions burned: 5 (million)
% 0.62/0.82 % (17682)------------------------------
% 0.62/0.82 % (17682)------------------------------
% 0.62/0.82 % (17685)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82
% 0.62/0.82 % (17685)Memory used [KB]: 1014
% 0.62/0.82 % (17685)Time elapsed: 0.004 s
% 0.62/0.82 % (17685)Instructions burned: 5 (million)
% 0.62/0.82 % (17685)------------------------------
% 0.62/0.82 % (17685)------------------------------
% 0.62/0.82 % (17689)Refutation not found, incomplete strategy% (17689)------------------------------
% 0.62/0.82 % (17689)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82 % (17689)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82
% 0.62/0.82 % (17689)Memory used [KB]: 1084
% 0.62/0.82 % (17689)Time elapsed: 0.004 s
% 0.62/0.82 % (17689)Instructions burned: 5 (million)
% 0.62/0.82 % (17689)------------------------------
% 0.62/0.82 % (17689)------------------------------
% 0.62/0.82 % (17686)Refutation not found, incomplete strategy% (17686)------------------------------
% 0.62/0.82 % (17686)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82 % (17686)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82
% 0.62/0.82 % (17686)Memory used [KB]: 1100
% 0.62/0.82 % (17686)Time elapsed: 0.005 s
% 0.62/0.82 % (17686)Instructions burned: 6 (million)
% 0.62/0.82 % (17686)------------------------------
% 0.62/0.82 % (17686)------------------------------
% 0.62/0.82 % (17687)Refutation not found, incomplete strategy% (17687)------------------------------
% 0.62/0.82 % (17687)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82 % (17684)Refutation not found, incomplete strategy% (17684)------------------------------
% 0.62/0.82 % (17684)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82 % (17684)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82
% 0.62/0.82 % (17684)Memory used [KB]: 1090
% 0.62/0.82 % (17684)Time elapsed: 0.006 s
% 0.62/0.82 % (17684)Instructions burned: 7 (million)
% 0.62/0.82 % (17684)------------------------------
% 0.62/0.82 % (17684)------------------------------
% 0.62/0.82 % (17687)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82
% 0.62/0.82 % (17687)Memory used [KB]: 1089
% 0.62/0.82 % (17687)Time elapsed: 0.006 s
% 0.62/0.82 % (17687)Instructions burned: 8 (million)
% 0.62/0.82 % (17687)------------------------------
% 0.62/0.82 % (17687)------------------------------
% 0.62/0.82 % (17688)Refutation not found, incomplete strategy% (17688)------------------------------
% 0.62/0.82 % (17688)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82 % (17688)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82
% 0.62/0.82 % (17688)Memory used [KB]: 1107
% 0.62/0.82 % (17688)Time elapsed: 0.006 s
% 0.62/0.82 % (17688)Instructions burned: 9 (million)
% 0.62/0.82 % (17688)------------------------------
% 0.62/0.82 % (17688)------------------------------
% 0.62/0.82 % (17694)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 (2995ds/55Mi)
% 0.62/0.82 % (17696)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 (2995ds/208Mi)
% 0.62/0.82 % (17695)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 (2995ds/50Mi)
% 0.62/0.82 % (17697)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 (2995ds/52Mi)
% 0.62/0.83 % (17698)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 (2995ds/518Mi)
% 0.62/0.83 % (17699)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 (2995ds/42Mi)
% 0.62/0.83 % (17700)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 (2995ds/243Mi)
% 0.62/0.83 % (17699)Refutation not found, incomplete strategy% (17699)------------------------------
% 0.62/0.83 % (17699)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83 % (17699)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83
% 0.62/0.83 % (17699)Memory used [KB]: 1108
% 0.62/0.83 % (17699)Time elapsed: 0.004 s
% 0.62/0.83 % (17697)Refutation not found, incomplete strategy% (17697)------------------------------
% 0.62/0.83 % (17697)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83 % (17697)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83
% 0.62/0.83 % (17697)Memory used [KB]: 1090
% 0.62/0.83 % (17697)Time elapsed: 0.005 s
% 0.62/0.83 % (17697)Instructions burned: 8 (million)
% 0.62/0.83 % (17697)------------------------------
% 0.62/0.83 % (17697)------------------------------
% 0.62/0.83 % (17699)Instructions burned: 5 (million)
% 0.62/0.83 % (17699)------------------------------
% 0.62/0.83 % (17699)------------------------------
% 0.62/0.83 % (17694)Refutation not found, incomplete strategy% (17694)------------------------------
% 0.62/0.83 % (17694)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83 % (17694)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83
% 0.62/0.83 % (17694)Memory used [KB]: 1093
% 0.62/0.83 % (17694)Time elapsed: 0.006 s
% 0.62/0.83 % (17694)Instructions burned: 8 (million)
% 0.62/0.83 % (17695)Refutation not found, incomplete strategy% (17695)------------------------------
% 0.62/0.83 % (17695)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83 % (17695)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83
% 0.62/0.83 % (17695)Memory used [KB]: 1074
% 0.62/0.83 % (17695)Time elapsed: 0.006 s
% 0.62/0.83 % (17695)Instructions burned: 9 (million)
% 0.62/0.83 % (17695)------------------------------
% 0.62/0.83 % (17695)------------------------------
% 0.62/0.83 % (17694)------------------------------
% 0.62/0.83 % (17694)------------------------------
% 0.62/0.83 % (17704)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 (2995ds/117Mi)
% 0.62/0.83 % (17705)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 (2995ds/143Mi)
% 0.62/0.83 % (17707)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 (2995ds/93Mi)
% 0.62/0.83 % (17708)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 (2995ds/62Mi)
% 0.62/0.83 % (17708)Refutation not found, incomplete strategy% (17708)------------------------------
% 0.62/0.83 % (17708)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83 % (17708)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83
% 0.62/0.83 % (17708)Memory used [KB]: 1020
% 0.62/0.83 % (17708)Time elapsed: 0.004 s
% 0.62/0.83 % (17708)Instructions burned: 4 (million)
% 0.62/0.83 % (17708)------------------------------
% 0.62/0.83 % (17708)------------------------------
% 0.62/0.83 % (17704)Refutation not found, incomplete strategy% (17704)------------------------------
% 0.62/0.83 % (17704)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83 % (17704)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83
% 0.62/0.83 % (17704)Memory used [KB]: 1021
% 0.62/0.84 % (17704)Time elapsed: 0.004 s
% 0.62/0.84 % (17704)Instructions burned: 5 (million)
% 0.62/0.84 % (17704)------------------------------
% 0.62/0.84 % (17704)------------------------------
% 0.62/0.84 % (17705)Refutation not found, incomplete strategy% (17705)------------------------------
% 0.62/0.84 % (17705)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84 % (17705)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.84
% 0.62/0.84 % (17705)Memory used [KB]: 1101
% 0.62/0.84 % (17705)Time elapsed: 0.004 s
% 0.62/0.84 % (17705)Instructions burned: 5 (million)
% 0.62/0.84 % (17705)------------------------------
% 0.62/0.84 % (17705)------------------------------
% 0.62/0.84 % (17711)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 (2995ds/32Mi)
% 0.62/0.84 % (17712)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 (2995ds/1919Mi)
% 0.62/0.84 % (17713)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 (2995ds/55Mi)
% 0.62/0.84 % (17700)Refutation not found, incomplete strategy% (17700)------------------------------
% 0.62/0.84 % (17700)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84 % (17700)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.84
% 0.62/0.84 % (17700)Memory used [KB]: 1209
% 0.62/0.84 % (17700)Time elapsed: 0.017 s
% 0.62/0.84 % (17700)Instructions burned: 31 (million)
% 0.62/0.84 % (17700)------------------------------
% 0.62/0.84 % (17700)------------------------------
% 0.62/0.84 % (17713)Refutation not found, incomplete strategy% (17713)------------------------------
% 0.62/0.84 % (17713)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84 % (17713)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.84
% 0.62/0.84 % (17713)Memory used [KB]: 1113
% 0.62/0.84 % (17713)Time elapsed: 0.005 s
% 0.62/0.84 % (17713)Instructions burned: 7 (million)
% 0.62/0.84 % (17713)------------------------------
% 0.62/0.84 % (17713)------------------------------
% 0.62/0.84 % (17711)Refutation not found, incomplete strategy% (17711)------------------------------
% 0.62/0.84 % (17711)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84 % (17711)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.84
% 0.62/0.84 % (17711)Memory used [KB]: 1096
% 0.62/0.84 % (17711)Time elapsed: 0.006 s
% 0.62/0.84 % (17711)Instructions burned: 8 (million)
% 0.62/0.84 % (17711)------------------------------
% 0.62/0.84 % (17711)------------------------------
% 0.62/0.84 % (17712)Refutation not found, incomplete strategy% (17712)------------------------------
% 0.62/0.84 % (17712)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84 % (17712)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.84
% 0.62/0.84 % (17712)Memory used [KB]: 1091
% 0.62/0.84 % (17712)Time elapsed: 0.006 s
% 0.62/0.84 % (17712)Instructions burned: 8 (million)
% 0.62/0.84 % (17712)------------------------------
% 0.62/0.84 % (17712)------------------------------
% 0.62/0.85 % (17714)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 (2995ds/53Mi)
% 0.62/0.85 % (17683)Instruction limit reached!
% 0.62/0.85 % (17683)------------------------------
% 0.62/0.85 % (17683)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.85 % (17683)Termination reason: Unknown
% 0.62/0.85 % (17683)Termination phase: Saturation
% 0.62/0.85
% 0.62/0.85 % (17683)Memory used [KB]: 1769
% 0.62/0.85 % (17683)Time elapsed: 0.031 s
% 0.62/0.85 % (17683)Instructions burned: 52 (million)
% 0.62/0.85 % (17683)------------------------------
% 0.62/0.85 % (17683)------------------------------
% 0.62/0.85 % (17715)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 (2995ds/46Mi)
% 0.62/0.85 % (17716)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 (2995ds/102Mi)
% 0.62/0.85 % (17717)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 (2995ds/35Mi)
% 0.62/0.85 % (17715)Refutation not found, incomplete strategy% (17715)------------------------------
% 0.62/0.85 % (17715)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.85 % (17715)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.85
% 0.62/0.85 % (17715)Memory used [KB]: 1100
% 0.62/0.85 % (17715)Time elapsed: 0.004 s
% 0.62/0.85 % (17715)Instructions burned: 5 (million)
% 0.62/0.85 % (17715)------------------------------
% 0.62/0.85 % (17715)------------------------------
% 0.62/0.85 % (17718)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.62/0.85 % (17716)Refutation not found, incomplete strategy% (17716)------------------------------
% 0.62/0.85 % (17716)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.85 % (17716)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.85
% 0.62/0.85 % (17716)Memory used [KB]: 1108
% 0.62/0.85 % (17716)Time elapsed: 0.006 s
% 0.62/0.85 % (17716)Instructions burned: 9 (million)
% 0.62/0.85 % (17716)------------------------------
% 0.62/0.85 % (17716)------------------------------
% 0.85/0.85 % (17719)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.85/0.86 % (17720)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.85/0.86 % (17720)Refutation not found, incomplete strategy% (17720)------------------------------
% 0.85/0.86 % (17720)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.85/0.86 % (17720)Termination reason: Refutation not found, incomplete strategy
% 0.85/0.86
% 0.85/0.86 % (17720)Memory used [KB]: 1011
% 0.85/0.86 % (17720)Time elapsed: 0.004 s
% 0.85/0.86 % (17720)Instructions burned: 5 (million)
% 0.85/0.86 % (17720)------------------------------
% 0.85/0.86 % (17720)------------------------------
% 0.85/0.86 % (17721)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.85/0.86 % (17717)Instruction limit reached!
% 0.85/0.86 % (17717)------------------------------
% 0.85/0.86 % (17717)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.85/0.86 % (17717)Termination reason: Unknown
% 0.85/0.86 % (17717)Termination phase: Saturation
% 0.85/0.86
% 0.85/0.86 % (17717)Memory used [KB]: 1191
% 0.85/0.86 % (17717)Time elapsed: 0.019 s
% 0.85/0.86 % (17717)Instructions burned: 35 (million)
% 0.85/0.86 % (17717)------------------------------
% 0.85/0.86 % (17717)------------------------------
% 0.85/0.86 % (17721)Refutation not found, incomplete strategy% (17721)------------------------------
% 0.85/0.86 % (17721)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.85/0.86 % (17721)Termination reason: Refutation not found, incomplete strategy
% 0.85/0.86
% 0.85/0.86 % (17721)Memory used [KB]: 1093
% 0.85/0.86 % (17721)Time elapsed: 0.005 s
% 0.85/0.86 % (17721)Instructions burned: 5 (million)
% 0.85/0.87 % (17721)------------------------------
% 0.85/0.87 % (17721)------------------------------
% 0.85/0.87 % (17722)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.85/0.87 % (17723)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.85/0.87 % (17714)Instruction limit reached!
% 0.85/0.87 % (17714)------------------------------
% 0.85/0.87 % (17714)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.85/0.87 % (17714)Termination reason: Unknown
% 0.85/0.87 % (17714)Termination phase: Saturation
% 0.85/0.87
% 0.85/0.87 % (17714)Memory used [KB]: 1200
% 0.85/0.87 % (17714)Time elapsed: 0.027 s
% 0.85/0.87 % (17714)Instructions burned: 55 (million)
% 0.85/0.87 % (17714)------------------------------
% 0.85/0.87 % (17714)------------------------------
% 0.85/0.87 % (17726)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.85/0.88 % (17707)Instruction limit reached!
% 0.85/0.88 % (17707)------------------------------
% 0.85/0.88 % (17707)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.85/0.88 % (17707)Termination reason: Unknown
% 0.85/0.88 % (17707)Termination phase: Saturation
% 0.85/0.88
% 0.85/0.88 % (17707)Memory used [KB]: 2390
% 0.85/0.88 % (17707)Time elapsed: 0.049 s
% 0.85/0.88 % (17707)Instructions burned: 93 (million)
% 0.85/0.88 % (17707)------------------------------
% 0.85/0.88 % (17707)------------------------------
% 0.96/0.88 % (17728)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2995ds/80Mi)
% 0.96/0.89 % (17722)Instruction limit reached!
% 0.96/0.89 % (17722)------------------------------
% 0.96/0.89 % (17722)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.96/0.89 % (17722)Termination reason: Unknown
% 0.96/0.89 % (17722)Termination phase: Saturation
% 0.96/0.89
% 0.96/0.89 % (17722)Memory used [KB]: 1555
% 0.96/0.89 % (17722)Time elapsed: 0.021 s
% 0.96/0.89 % (17722)Instructions burned: 41 (million)
% 0.96/0.89 % (17722)------------------------------
% 0.96/0.89 % (17722)------------------------------
% 0.96/0.89 % (17729)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)
% 0.96/0.89 % (17718)Instruction limit reached!
% 0.96/0.89 % (17718)------------------------------
% 0.96/0.89 % (17718)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.96/0.89 % (17718)Termination reason: Unknown
% 0.96/0.89 % (17718)Termination phase: Saturation
% 0.96/0.89
% 0.96/0.89 % (17718)Memory used [KB]: 1439
% 0.96/0.89 % (17718)Time elapsed: 0.043 s
% 0.96/0.89 % (17718)Instructions burned: 87 (million)
% 0.96/0.89 % (17718)------------------------------
% 0.96/0.89 % (17718)------------------------------
% 0.96/0.90 % (17730)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)
% 0.96/0.91 % (17730)Refutation not found, incomplete strategy% (17730)------------------------------
% 0.96/0.91 % (17730)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.96/0.91 % (17730)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.91
% 0.96/0.91 % (17730)Memory used [KB]: 1156
% 0.96/0.91 % (17730)Time elapsed: 0.012 s
% 0.96/0.91 % (17730)Instructions burned: 18 (million)
% 0.96/0.91 % (17730)------------------------------
% 0.96/0.91 % (17730)------------------------------
% 0.96/0.91 % (17729)Instruction limit reached!
% 0.96/0.91 % (17729)------------------------------
% 0.96/0.91 % (17729)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.96/0.91 % (17729)Termination reason: Unknown
% 0.96/0.91 % (17729)Termination phase: Saturation
% 0.96/0.91
% 0.96/0.91 % (17729)Memory used [KB]: 1742
% 0.96/0.91 % (17729)Time elapsed: 0.021 s
% 0.96/0.91 % (17729)Instructions burned: 38 (million)
% 0.96/0.91 % (17729)------------------------------
% 0.96/0.91 % (17729)------------------------------
% 0.96/0.91 % (17731)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)
% 0.96/0.91 % (17732)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2994ds/32Mi)
% 0.96/0.91 % (17719)Instruction limit reached!
% 0.96/0.91 % (17719)------------------------------
% 0.96/0.91 % (17719)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.96/0.91 % (17719)Termination reason: Unknown
% 0.96/0.91 % (17719)Termination phase: Saturation
% 0.96/0.91
% 0.96/0.91 % (17732)Refutation not found, incomplete strategy% (17732)------------------------------
% 0.96/0.91 % (17732)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.96/0.91 % (17719)Memory used [KB]: 2333
% 0.96/0.91 % (17719)Time elapsed: 0.064 s
% 0.96/0.91 % (17719)Instructions burned: 109 (million)
% 0.96/0.91 % (17719)------------------------------
% 0.96/0.91 % (17719)------------------------------
% 0.96/0.92 % (17732)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.92
% 0.96/0.92 % (17732)Memory used [KB]: 1083
% 0.96/0.92 % (17732)Time elapsed: 0.004 s
% 0.96/0.92 % (17732)Instructions burned: 5 (million)
% 0.96/0.92 % (17732)------------------------------
% 0.96/0.92 % (17732)------------------------------
% 0.96/0.92 % (17734)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 (2994ds/132Mi)
% 0.96/0.92 % (17735)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 (2994ds/54Mi)
% 0.96/0.92 % (17696)Instruction limit reached!
% 0.96/0.92 % (17696)------------------------------
% 0.96/0.92 % (17696)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.96/0.92 % (17696)Termination reason: Unknown
% 0.96/0.92 % (17696)Termination phase: Saturation
% 0.96/0.92
% 0.96/0.92 % (17696)Memory used [KB]: 2555
% 0.96/0.92 % (17696)Time elapsed: 0.097 s
% 0.96/0.92 % (17696)Instructions burned: 208 (million)
% 0.96/0.92 % (17696)------------------------------
% 0.96/0.92 % (17696)------------------------------
% 0.96/0.92 % (17728)Instruction limit reached!
% 0.96/0.92 % (17728)------------------------------
% 0.96/0.92 % (17728)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.96/0.92 % (17728)Termination reason: Unknown
% 0.96/0.92 % (17728)Termination phase: Saturation
% 0.96/0.92
% 0.96/0.92 % (17728)Memory used [KB]: 1352
% 0.96/0.92 % (17728)Time elapsed: 0.039 s
% 0.96/0.92 % (17728)Instructions burned: 80 (million)
% 0.96/0.92 % (17728)------------------------------
% 0.96/0.92 % (17728)------------------------------
% 0.96/0.92 % (17734)Refutation not found, incomplete strategy% (17734)------------------------------
% 0.96/0.92 % (17734)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.96/0.92 % (17734)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.92
% 0.96/0.92 % (17734)Memory used [KB]: 974
% 0.96/0.92 % (17734)Time elapsed: 0.004 s
% 0.96/0.92 % (17734)Instructions burned: 7 (million)
% 0.96/0.92 % (17734)------------------------------
% 0.96/0.92 % (17734)------------------------------
% 0.96/0.92 % (17735)Refutation not found, incomplete strategy% (17735)------------------------------
% 0.96/0.92 % (17735)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.96/0.92 % (17735)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.92
% 0.96/0.92 % (17735)Memory used [KB]: 1070
% 0.96/0.92 % (17735)Time elapsed: 0.005 s
% 0.96/0.92 % (17735)Instructions burned: 9 (million)
% 0.96/0.92 % (17735)------------------------------
% 0.96/0.92 % (17735)------------------------------
% 0.96/0.92 % (17739)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 (2994ds/82Mi)
% 0.96/0.92 % (17740)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 (2994ds/119Mi)
% 0.96/0.92 % (17723)First to succeed.
% 0.96/0.93 % (17741)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 (2994ds/177Mi)
% 1.29/0.93 % (17742)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 (2994ds/117Mi)
% 1.29/0.93 % (17723)Refutation found. Thanks to Tanya!
% 1.29/0.93 % SZS status Unsatisfiable for Vampire---4
% 1.29/0.93 % SZS output start Proof for Vampire---4
% See solution above
% 1.29/0.94 % (17723)------------------------------
% 1.29/0.94 % (17723)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.29/0.94 % (17723)Termination reason: Refutation
% 1.29/0.94
% 1.29/0.94 % (17723)Memory used [KB]: 1618
% 1.29/0.94 % (17723)Time elapsed: 0.064 s
% 1.29/0.94 % (17723)Instructions burned: 107 (million)
% 1.29/0.94 % (17723)------------------------------
% 1.29/0.94 % (17723)------------------------------
% 1.29/0.94 % (17626)Success in time 0.546 s
% 1.29/0.94 % Vampire---4.8 exiting
%------------------------------------------------------------------------------