TSTP Solution File: GRP389-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP389-1 : 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 : n023.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 02:28:48 EDT 2024
% Result : Unsatisfiable 0.95s 0.83s
% Output : Refutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 113
% Syntax : Number of formulae : 500 ( 41 unt; 0 def)
% Number of atoms : 1753 ( 425 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 2276 (1023 ~;1226 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 42 ( 40 usr; 28 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 27 con; 0-2 aty)
% Number of variables : 108 ( 108 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2368,plain,
$false,
inference(avatar_sat_refutation,[],[f153,f158,f163,f168,f173,f178,f183,f188,f193,f198,f199,f200,f201,f202,f203,f204,f205,f206,f211,f212,f213,f214,f215,f216,f217,f218,f219,f224,f225,f226,f227,f228,f229,f230,f231,f232,f237,f238,f239,f240,f241,f242,f243,f244,f245,f250,f251,f252,f253,f254,f255,f256,f257,f258,f281,f538,f639,f657,f684,f714,f732,f757,f875,f1028,f1040,f1058,f1072,f1442,f1606,f1607,f1679,f1732,f2221,f2297,f2333,f2359,f2365,f2366]) ).
fof(f2366,plain,
( ~ spl28_57
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(avatar_split_clause,[],[f2238,f247,f234,f221,f146,f1094]) ).
fof(f1094,plain,
( spl28_57
<=> sP5(sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_57])]) ).
fof(f146,plain,
( spl28_1
<=> sk_c9 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1])]) ).
fof(f221,plain,
( spl28_13
<=> sk_c10 = sF25 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_13])]) ).
fof(f234,plain,
( spl28_14
<=> sk_c3 = sF26 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_14])]) ).
fof(f247,plain,
( spl28_15
<=> sk_c10 = sF27 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_15])]) ).
fof(f2238,plain,
( ~ sP5(sk_c10)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f64,f2207]) ).
fof(f2207,plain,
( sk_c10 = sk_c9
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f2181,f2189]) ).
fof(f2189,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f2148,f2188]) ).
fof(f2188,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_demodulation,[],[f2172,f2148]) ).
fof(f2172,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c2,X0)) = X0
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f1077,f2167]) ).
fof(f2167,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,X0)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_demodulation,[],[f2165,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',left_identity) ).
fof(f2165,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,multiply(identity,X0))
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(superposition,[],[f3,f2157]) ).
fof(f2157,plain,
( sk_c10 = multiply(sk_c3,identity)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f1206,f2156]) ).
fof(f2156,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl28_13
| ~ spl28_14 ),
inference(forward_demodulation,[],[f2150,f1032]) ).
fof(f1032,plain,
( sk_c10 = multiply(sk_c2,sk_c3)
| ~ spl28_13 ),
inference(backward_demodulation,[],[f114,f223]) ).
fof(f223,plain,
( sk_c10 = sF25
| ~ spl28_13 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f114,plain,
multiply(sk_c2,sk_c3) = sF25,
introduced(function_definition,[new_symbols(definition,[sF25])]) ).
fof(f2150,plain,
( multiply(sk_c2,sk_c3) = multiply(sk_c10,sk_c10)
| ~ spl28_13
| ~ spl28_14 ),
inference(superposition,[],[f1033,f2098]) ).
fof(f2098,plain,
( sk_c3 = multiply(sk_c3,sk_c10)
| ~ spl28_13
| ~ spl28_14 ),
inference(superposition,[],[f1077,f1032]) ).
fof(f1033,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl28_13 ),
inference(backward_demodulation,[],[f308,f223]) ).
fof(f308,plain,
! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = multiply(sF25,X0),
inference(superposition,[],[f3,f114]) ).
fof(f1206,plain,
( multiply(sk_c10,sk_c10) = multiply(sk_c3,identity)
| ~ spl28_1
| ~ spl28_15 ),
inference(superposition,[],[f759,f1035]) ).
fof(f1035,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl28_1 ),
inference(backward_demodulation,[],[f291,f148]) ).
fof(f148,plain,
( sk_c9 = sF14
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f291,plain,
identity = multiply(sF14,sk_c10),
inference(superposition,[],[f2,f76]) ).
fof(f76,plain,
inverse(sk_c10) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',left_inverse) ).
fof(f759,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,multiply(sk_c9,X0))
| ~ spl28_15 ),
inference(backward_demodulation,[],[f309,f249]) ).
fof(f249,plain,
( sk_c10 = sF27
| ~ spl28_15 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f309,plain,
! [X0] : multiply(sk_c3,multiply(sk_c9,X0)) = multiply(sF27,X0),
inference(superposition,[],[f3,f134]) ).
fof(f134,plain,
multiply(sk_c3,sk_c9) = sF27,
introduced(function_definition,[new_symbols(definition,[sF27])]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',associativity) ).
fof(f1077,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl28_14 ),
inference(forward_demodulation,[],[f1076,f1]) ).
fof(f1076,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
| ~ spl28_14 ),
inference(superposition,[],[f3,f761]) ).
fof(f761,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl28_14 ),
inference(backward_demodulation,[],[f297,f236]) ).
fof(f236,plain,
( sk_c3 = sF26
| ~ spl28_14 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f297,plain,
identity = multiply(sF26,sk_c2),
inference(superposition,[],[f2,f124]) ).
fof(f124,plain,
inverse(sk_c2) = sF26,
introduced(function_definition,[new_symbols(definition,[sF26])]) ).
fof(f2148,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c10,multiply(sk_c2,X0))
| ~ spl28_13
| ~ spl28_14 ),
inference(superposition,[],[f1033,f1077]) ).
fof(f2181,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_demodulation,[],[f2171,f2166]) ).
fof(f2166,plain,
( multiply(sk_c10,sk_c9) = multiply(sk_c10,identity)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_demodulation,[],[f2164,f2151]) ).
fof(f2151,plain,
( multiply(sk_c10,sk_c9) = multiply(sk_c2,sk_c10)
| ~ spl28_13
| ~ spl28_15 ),
inference(superposition,[],[f1033,f760]) ).
fof(f760,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| ~ spl28_15 ),
inference(backward_demodulation,[],[f134,f249]) ).
fof(f2164,plain,
( multiply(sk_c10,identity) = multiply(sk_c2,sk_c10)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(superposition,[],[f1033,f2157]) ).
fof(f2171,plain,
( sk_c10 = multiply(sk_c10,identity)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f2157,f2167]) ).
fof(f64,plain,
~ sP5(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f2365,plain,
( spl28_57
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_43 ),
inference(avatar_split_clause,[],[f2362,f707,f247,f234,f221,f146,f1094]) ).
fof(f707,plain,
( spl28_43
<=> sP5(multiply(sk_c2,sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_43])]) ).
fof(f2362,plain,
( sP5(sk_c10)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_43 ),
inference(forward_demodulation,[],[f2361,f2189]) ).
fof(f2361,plain,
( sP5(multiply(sk_c10,sk_c10))
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_43 ),
inference(forward_demodulation,[],[f709,f2253]) ).
fof(f2253,plain,
( sk_c10 = sk_c2
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_demodulation,[],[f2252,f2223]) ).
fof(f2223,plain,
( identity = sk_c10
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f1035,f2197]) ).
fof(f2197,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f1034,f2189]) ).
fof(f1034,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = X0
| ~ spl28_1 ),
inference(backward_demodulation,[],[f758,f148]) ).
fof(f758,plain,
! [X0] : multiply(sF14,multiply(sk_c10,X0)) = X0,
inference(forward_demodulation,[],[f520,f1]) ).
fof(f520,plain,
! [X0] : multiply(identity,X0) = multiply(sF14,multiply(sk_c10,X0)),
inference(superposition,[],[f3,f291]) ).
fof(f2252,plain,
( identity = sk_c2
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_demodulation,[],[f2190,f2189]) ).
fof(f2190,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f2152,f2188]) ).
fof(f2152,plain,
( multiply(sk_c10,sk_c2) = multiply(sk_c2,identity)
| ~ spl28_13
| ~ spl28_14 ),
inference(superposition,[],[f1033,f761]) ).
fof(f709,plain,
( sP5(multiply(sk_c2,sk_c10))
| ~ spl28_43 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f2359,plain,
( ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_44 ),
inference(avatar_contradiction_clause,[],[f2358]) ).
fof(f2358,plain,
( $false
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_44 ),
inference(subsumption_resolution,[],[f2357,f63]) ).
fof(f63,plain,
~ sP4(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f2357,plain,
( sP4(sk_c10)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_44 ),
inference(forward_demodulation,[],[f713,f2257]) ).
fof(f2257,plain,
( sk_c10 = sF26
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f236,f2256]) ).
fof(f2256,plain,
( sk_c10 = sk_c3
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_demodulation,[],[f2254,f2243]) ).
fof(f2243,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f1037,f2207]) ).
fof(f1037,plain,
( inverse(sk_c10) = sk_c9
| ~ spl28_1 ),
inference(backward_demodulation,[],[f76,f148]) ).
fof(f2254,plain,
( inverse(sk_c10) = sk_c3
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f762,f2253]) ).
fof(f762,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl28_14 ),
inference(backward_demodulation,[],[f124,f236]) ).
fof(f713,plain,
( sP4(sF26)
| ~ spl28_44 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f711,plain,
( spl28_44
<=> sP4(sF26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_44])]) ).
fof(f2333,plain,
( ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_22 ),
inference(avatar_contradiction_clause,[],[f2332]) ).
fof(f2332,plain,
( $false
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_22 ),
inference(subsumption_resolution,[],[f2331,f59]) ).
fof(f59,plain,
~ sP0(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2331,plain,
( sP0(sk_c10)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_22 ),
inference(forward_demodulation,[],[f2330,f2189]) ).
fof(f2330,plain,
( sP0(multiply(sk_c10,sk_c10))
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_22 ),
inference(subsumption_resolution,[],[f2329,f60]) ).
fof(f60,plain,
~ sP1(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2329,plain,
( sP1(sk_c10)
| sP0(multiply(sk_c10,sk_c10))
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_22 ),
inference(forward_demodulation,[],[f2322,f2189]) ).
fof(f2322,plain,
( sP1(multiply(sk_c10,sk_c10))
| sP0(multiply(sk_c10,sk_c10))
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_22 ),
inference(superposition,[],[f2321,f2243]) ).
fof(f2321,plain,
( ! [X9] :
( sP1(multiply(X9,inverse(X9)))
| sP0(multiply(inverse(X9),sk_c10)) )
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_22 ),
inference(forward_demodulation,[],[f280,f2207]) ).
fof(f280,plain,
( ! [X9] :
( sP0(multiply(inverse(X9),sk_c9))
| sP1(multiply(X9,inverse(X9))) )
| ~ spl28_22 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl28_22
<=> ! [X9] :
( sP0(multiply(inverse(X9),sk_c9))
| sP1(multiply(X9,inverse(X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_22])]) ).
fof(f2297,plain,
( ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_18 ),
inference(avatar_contradiction_clause,[],[f2296]) ).
fof(f2296,plain,
( $false
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_18 ),
inference(subsumption_resolution,[],[f2295,f67]) ).
fof(f67,plain,
~ sP8(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f2295,plain,
( sP8(sk_c10)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_18 ),
inference(forward_demodulation,[],[f2294,f2189]) ).
fof(f2294,plain,
( sP8(multiply(sk_c10,sk_c10))
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_18 ),
inference(subsumption_resolution,[],[f2293,f68]) ).
fof(f68,plain,
~ sP9(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f2293,plain,
( sP9(sk_c10)
| sP8(multiply(sk_c10,sk_c10))
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_18 ),
inference(forward_demodulation,[],[f2286,f2189]) ).
fof(f2286,plain,
( sP9(multiply(sk_c10,sk_c10))
| sP8(multiply(sk_c10,sk_c10))
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_18 ),
inference(superposition,[],[f2267,f2243]) ).
fof(f2267,plain,
( ! [X4] :
( sP9(multiply(X4,inverse(X4)))
| sP8(multiply(inverse(X4),sk_c10)) )
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_18 ),
inference(forward_demodulation,[],[f268,f2207]) ).
fof(f268,plain,
( ! [X4] :
( sP8(multiply(inverse(X4),sk_c9))
| sP9(multiply(X4,inverse(X4))) )
| ~ spl28_18 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f267,plain,
( spl28_18
<=> ! [X4] :
( sP8(multiply(inverse(X4),sk_c9))
| sP9(multiply(X4,inverse(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_18])]) ).
fof(f2221,plain,
( ~ spl28_1
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_19 ),
inference(avatar_contradiction_clause,[],[f2220]) ).
fof(f2220,plain,
( $false
| ~ spl28_1
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_19 ),
inference(subsumption_resolution,[],[f2219,f66]) ).
fof(f66,plain,
~ sP7(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f2219,plain,
( sP7(sk_c10)
| ~ spl28_1
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_19 ),
inference(forward_demodulation,[],[f2218,f2115]) ).
fof(f2115,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl28_11
| ~ spl28_12 ),
inference(superposition,[],[f1079,f766]) ).
fof(f766,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl28_12 ),
inference(backward_demodulation,[],[f104,f210]) ).
fof(f210,plain,
( sk_c11 = sF24
| ~ spl28_12 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f208,plain,
( spl28_12
<=> sk_c11 = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_12])]) ).
fof(f104,plain,
multiply(sk_c1,sk_c10) = sF24,
introduced(function_definition,[new_symbols(definition,[sF24])]) ).
fof(f1079,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
| ~ spl28_11 ),
inference(forward_demodulation,[],[f1078,f1]) ).
fof(f1078,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c1,X0))
| ~ spl28_11 ),
inference(superposition,[],[f3,f767]) ).
fof(f767,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl28_11 ),
inference(backward_demodulation,[],[f296,f197]) ).
fof(f197,plain,
( sk_c11 = sF23
| ~ spl28_11 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl28_11
<=> sk_c11 = sF23 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_11])]) ).
fof(f296,plain,
identity = multiply(sF23,sk_c1),
inference(superposition,[],[f2,f94]) ).
fof(f94,plain,
inverse(sk_c1) = sF23,
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f2218,plain,
( sP7(multiply(sk_c11,sk_c11))
| ~ spl28_1
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_19 ),
inference(backward_demodulation,[],[f2042,f2196]) ).
fof(f2196,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,X0)
| ~ spl28_1
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f765,f2189]) ).
fof(f765,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| ~ spl28_12 ),
inference(backward_demodulation,[],[f307,f210]) ).
fof(f307,plain,
! [X0] : multiply(sk_c1,multiply(sk_c10,X0)) = multiply(sF24,X0),
inference(superposition,[],[f3,f104]) ).
fof(f2042,plain,
( sP7(multiply(sk_c1,sk_c11))
| ~ spl28_11
| ~ spl28_19 ),
inference(subsumption_resolution,[],[f2027,f65]) ).
fof(f65,plain,
~ sP6(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f2027,plain,
( sP6(sk_c11)
| sP7(multiply(sk_c1,sk_c11))
| ~ spl28_11
| ~ spl28_19 ),
inference(superposition,[],[f271,f768]) ).
fof(f768,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl28_11 ),
inference(backward_demodulation,[],[f94,f197]) ).
fof(f271,plain,
( ! [X6] :
( sP6(inverse(X6))
| sP7(multiply(X6,sk_c11)) )
| ~ spl28_19 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f270,plain,
( spl28_19
<=> ! [X6] :
( sP6(inverse(X6))
| sP7(multiply(X6,sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_19])]) ).
fof(f1732,plain,
( ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15
| ~ spl28_22 ),
inference(avatar_contradiction_clause,[],[f1731]) ).
fof(f1731,plain,
( $false
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15
| ~ spl28_22 ),
inference(subsumption_resolution,[],[f1730,f60]) ).
fof(f1730,plain,
( sP1(sk_c10)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15
| ~ spl28_22 ),
inference(forward_demodulation,[],[f1729,f1565]) ).
fof(f1565,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15 ),
inference(backward_demodulation,[],[f1037,f1540]) ).
fof(f1540,plain,
( sk_c10 = sk_c9
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15 ),
inference(backward_demodulation,[],[f1467,f1518]) ).
fof(f1518,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3 ),
inference(backward_demodulation,[],[f1,f1517]) ).
fof(f1517,plain,
( identity = sk_c10
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3 ),
inference(forward_demodulation,[],[f1513,f1035]) ).
fof(f1513,plain,
( sk_c10 = multiply(sk_c9,sk_c10)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3 ),
inference(superposition,[],[f1034,f333]) ).
fof(f333,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl28_2
| ~ spl28_3 ),
inference(forward_demodulation,[],[f331,f290]) ).
fof(f290,plain,
( sk_c10 = multiply(sk_c4,sk_c11)
| ~ spl28_2 ),
inference(backward_demodulation,[],[f75,f152]) ).
fof(f152,plain,
( sk_c10 = sF13
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl28_2
<=> sk_c10 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_2])]) ).
fof(f75,plain,
multiply(sk_c4,sk_c11) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f331,plain,
( multiply(sk_c4,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl28_2
| ~ spl28_3 ),
inference(superposition,[],[f301,f326]) ).
fof(f326,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl28_2
| ~ spl28_3 ),
inference(superposition,[],[f313,f290]) ).
fof(f313,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c4,X0)) = X0
| ~ spl28_3 ),
inference(forward_demodulation,[],[f302,f1]) ).
fof(f302,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c4,X0))
| ~ spl28_3 ),
inference(superposition,[],[f3,f292]) ).
fof(f292,plain,
( identity = multiply(sk_c11,sk_c4)
| ~ spl28_3 ),
inference(superposition,[],[f2,f289]) ).
fof(f289,plain,
( sk_c11 = inverse(sk_c4)
| ~ spl28_3 ),
inference(backward_demodulation,[],[f78,f157]) ).
fof(f157,plain,
( sk_c11 = sF15
| ~ spl28_3 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl28_3
<=> sk_c11 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_3])]) ).
fof(f78,plain,
inverse(sk_c4) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f301,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl28_2 ),
inference(superposition,[],[f3,f290]) ).
fof(f1467,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15 ),
inference(backward_demodulation,[],[f760,f1462]) ).
fof(f1462,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,X0)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15 ),
inference(forward_demodulation,[],[f1461,f1]) ).
fof(f1461,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,multiply(identity,X0))
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15 ),
inference(superposition,[],[f3,f1208]) ).
fof(f1208,plain,
( sk_c10 = multiply(sk_c3,identity)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15 ),
inference(forward_demodulation,[],[f1206,f333]) ).
fof(f1729,plain,
( sP1(inverse(sk_c10))
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15
| ~ spl28_22 ),
inference(forward_demodulation,[],[f1728,f1518]) ).
fof(f1728,plain,
( sP1(multiply(sk_c10,inverse(sk_c10)))
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15
| ~ spl28_22 ),
inference(subsumption_resolution,[],[f1696,f59]) ).
fof(f1696,plain,
( sP0(sk_c10)
| sP1(multiply(sk_c10,inverse(sk_c10)))
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15
| ~ spl28_22 ),
inference(superposition,[],[f1680,f1519]) ).
fof(f1519,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c10
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3 ),
inference(backward_demodulation,[],[f2,f1517]) ).
fof(f1680,plain,
( ! [X9] :
( sP0(multiply(inverse(X9),sk_c10))
| sP1(multiply(X9,inverse(X9))) )
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15
| ~ spl28_22 ),
inference(forward_demodulation,[],[f280,f1540]) ).
fof(f1679,plain,
( ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15
| ~ spl28_18 ),
inference(avatar_contradiction_clause,[],[f1678]) ).
fof(f1678,plain,
( $false
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15
| ~ spl28_18 ),
inference(subsumption_resolution,[],[f1677,f68]) ).
fof(f1677,plain,
( sP9(sk_c10)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15
| ~ spl28_18 ),
inference(forward_demodulation,[],[f1676,f1565]) ).
fof(f1676,plain,
( sP9(inverse(sk_c10))
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15
| ~ spl28_18 ),
inference(forward_demodulation,[],[f1675,f1518]) ).
fof(f1675,plain,
( sP9(multiply(sk_c10,inverse(sk_c10)))
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15
| ~ spl28_18 ),
inference(subsumption_resolution,[],[f1651,f67]) ).
fof(f1651,plain,
( sP8(sk_c10)
| sP9(multiply(sk_c10,inverse(sk_c10)))
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15
| ~ spl28_18 ),
inference(superposition,[],[f1622,f1519]) ).
fof(f1622,plain,
( ! [X4] :
( sP8(multiply(inverse(X4),sk_c10))
| sP9(multiply(X4,inverse(X4))) )
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15
| ~ spl28_18 ),
inference(forward_demodulation,[],[f268,f1540]) ).
fof(f1607,plain,
( ~ spl28_57
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15 ),
inference(avatar_split_clause,[],[f1560,f247,f155,f150,f146,f1094]) ).
fof(f1560,plain,
( ~ sP5(sk_c10)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15 ),
inference(backward_demodulation,[],[f64,f1540]) ).
fof(f1606,plain,
( spl28_57
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15
| ~ spl28_20 ),
inference(avatar_split_clause,[],[f1605,f273,f247,f155,f150,f146,f1094]) ).
fof(f273,plain,
( spl28_20
<=> ! [X7] :
( sP4(inverse(X7))
| sP5(multiply(X7,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_20])]) ).
fof(f1605,plain,
( sP5(sk_c10)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15
| ~ spl28_20 ),
inference(forward_demodulation,[],[f1604,f1518]) ).
fof(f1604,plain,
( sP5(multiply(sk_c10,sk_c10))
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15
| ~ spl28_20 ),
inference(subsumption_resolution,[],[f1603,f63]) ).
fof(f1603,plain,
( sP4(sk_c10)
| sP5(multiply(sk_c10,sk_c10))
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_15
| ~ spl28_20 ),
inference(forward_demodulation,[],[f1474,f1540]) ).
fof(f1474,plain,
( sP4(sk_c9)
| sP5(multiply(sk_c10,sk_c10))
| ~ spl28_1
| ~ spl28_20 ),
inference(superposition,[],[f274,f1037]) ).
fof(f274,plain,
( ! [X7] :
( sP4(inverse(X7))
| sP5(multiply(X7,sk_c10)) )
| ~ spl28_20 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f1442,plain,
( ~ spl28_12
| ~ spl28_51 ),
inference(avatar_contradiction_clause,[],[f1441]) ).
fof(f1441,plain,
( $false
| ~ spl28_12
| ~ spl28_51 ),
inference(subsumption_resolution,[],[f1440,f61]) ).
fof(f61,plain,
~ sP2(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1440,plain,
( sP2(sk_c11)
| ~ spl28_12
| ~ spl28_51 ),
inference(backward_demodulation,[],[f756,f766]) ).
fof(f756,plain,
( sP2(multiply(sk_c1,sk_c10))
| ~ spl28_51 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f754,plain,
( spl28_51
<=> sP2(multiply(sk_c1,sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_51])]) ).
fof(f1072,plain,
( ~ spl28_11
| ~ spl28_12
| ~ spl28_17 ),
inference(avatar_contradiction_clause,[],[f1071]) ).
fof(f1071,plain,
( $false
| ~ spl28_11
| ~ spl28_12
| ~ spl28_17 ),
inference(subsumption_resolution,[],[f1070,f69]) ).
fof(f69,plain,
~ sP10(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1070,plain,
( sP10(sk_c11)
| ~ spl28_11
| ~ spl28_12
| ~ spl28_17 ),
inference(forward_demodulation,[],[f1069,f766]) ).
fof(f1069,plain,
( sP10(multiply(sk_c1,sk_c10))
| ~ spl28_11
| ~ spl28_17 ),
inference(subsumption_resolution,[],[f1050,f70]) ).
fof(f70,plain,
~ sP11(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1050,plain,
( sP11(sk_c11)
| sP10(multiply(sk_c1,sk_c10))
| ~ spl28_11
| ~ spl28_17 ),
inference(superposition,[],[f265,f768]) ).
fof(f265,plain,
( ! [X3] :
( sP11(inverse(X3))
| sP10(multiply(X3,sk_c10)) )
| ~ spl28_17 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl28_17
<=> ! [X3] :
( sP10(multiply(X3,sk_c10))
| sP11(inverse(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_17])]) ).
fof(f1058,plain,
( ~ spl28_6
| ~ spl28_7
| ~ spl28_17 ),
inference(avatar_contradiction_clause,[],[f1057]) ).
fof(f1057,plain,
( $false
| ~ spl28_6
| ~ spl28_7
| ~ spl28_17 ),
inference(subsumption_resolution,[],[f1056,f69]) ).
fof(f1056,plain,
( sP10(sk_c11)
| ~ spl28_6
| ~ spl28_7
| ~ spl28_17 ),
inference(forward_demodulation,[],[f1055,f285]) ).
fof(f285,plain,
( sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl28_7 ),
inference(backward_demodulation,[],[f86,f177]) ).
fof(f177,plain,
( sk_c11 = sF19
| ~ spl28_7 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl28_7
<=> sk_c11 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_7])]) ).
fof(f86,plain,
multiply(sk_c6,sk_c10) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f1055,plain,
( sP10(multiply(sk_c6,sk_c10))
| ~ spl28_6
| ~ spl28_17 ),
inference(subsumption_resolution,[],[f1048,f70]) ).
fof(f1048,plain,
( sP11(sk_c11)
| sP10(multiply(sk_c6,sk_c10))
| ~ spl28_6
| ~ spl28_17 ),
inference(superposition,[],[f265,f286]) ).
fof(f286,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl28_6 ),
inference(backward_demodulation,[],[f84,f172]) ).
fof(f172,plain,
( sk_c11 = sF18
| ~ spl28_6 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl28_6
<=> sk_c11 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_6])]) ).
fof(f84,plain,
inverse(sk_c6) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f1040,plain,
( ~ spl28_16
| ~ spl28_1 ),
inference(avatar_split_clause,[],[f1036,f146,f260]) ).
fof(f260,plain,
( spl28_16
<=> sP12(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_16])]) ).
fof(f1036,plain,
( ~ sP12(sk_c9)
| ~ spl28_1 ),
inference(backward_demodulation,[],[f144,f148]) ).
fof(f144,plain,
~ sP12(sF14),
inference(definition_folding,[],[f71,f76]) ).
fof(f71,plain,
~ sP12(inverse(sk_c10)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP12])]) ).
fof(f1028,plain,
( ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_22 ),
inference(avatar_contradiction_clause,[],[f1027]) ).
fof(f1027,plain,
( $false
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_22 ),
inference(subsumption_resolution,[],[f1026,f60]) ).
fof(f1026,plain,
( sP1(sk_c10)
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_22 ),
inference(forward_demodulation,[],[f1025,f284]) ).
fof(f284,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl28_8 ),
inference(backward_demodulation,[],[f88,f182]) ).
fof(f182,plain,
( sk_c10 = sF20
| ~ spl28_8 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl28_8
<=> sk_c10 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_8])]) ).
fof(f88,plain,
multiply(sk_c7,sk_c8) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f1025,plain,
( sP1(multiply(sk_c7,sk_c8))
| ~ spl28_9
| ~ spl28_10
| ~ spl28_22 ),
inference(subsumption_resolution,[],[f1024,f59]) ).
fof(f1024,plain,
( sP0(sk_c10)
| sP1(multiply(sk_c7,sk_c8))
| ~ spl28_9
| ~ spl28_10
| ~ spl28_22 ),
inference(forward_demodulation,[],[f1009,f282]) ).
fof(f282,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl28_10 ),
inference(backward_demodulation,[],[f92,f192]) ).
fof(f192,plain,
( sk_c10 = sF22
| ~ spl28_10 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f190,plain,
( spl28_10
<=> sk_c10 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_10])]) ).
fof(f92,plain,
multiply(sk_c8,sk_c9) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f1009,plain,
( sP0(multiply(sk_c8,sk_c9))
| sP1(multiply(sk_c7,sk_c8))
| ~ spl28_9
| ~ spl28_22 ),
inference(superposition,[],[f280,f283]) ).
fof(f283,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl28_9 ),
inference(backward_demodulation,[],[f90,f187]) ).
fof(f187,plain,
( sk_c8 = sF21
| ~ spl28_9 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl28_9
<=> sk_c8 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_9])]) ).
fof(f90,plain,
inverse(sk_c7) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f875,plain,
( ~ spl28_11
| ~ spl28_47 ),
inference(avatar_contradiction_clause,[],[f874]) ).
fof(f874,plain,
( $false
| ~ spl28_11
| ~ spl28_47 ),
inference(subsumption_resolution,[],[f873,f62]) ).
fof(f62,plain,
~ sP3(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f873,plain,
( sP3(sk_c11)
| ~ spl28_11
| ~ spl28_47 ),
inference(forward_demodulation,[],[f738,f197]) ).
fof(f738,plain,
( sP3(sF23)
| ~ spl28_47 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f736,plain,
( spl28_47
<=> sP3(sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_47])]) ).
fof(f757,plain,
( spl28_51
| spl28_47
| ~ spl28_21 ),
inference(avatar_split_clause,[],[f717,f276,f736,f754]) ).
fof(f276,plain,
( spl28_21
<=> ! [X8] :
( sP2(multiply(X8,sk_c10))
| sP3(inverse(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_21])]) ).
fof(f717,plain,
( sP3(sF23)
| sP2(multiply(sk_c1,sk_c10))
| ~ spl28_21 ),
inference(superposition,[],[f277,f94]) ).
fof(f277,plain,
( ! [X8] :
( sP3(inverse(X8))
| sP2(multiply(X8,sk_c10)) )
| ~ spl28_21 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f732,plain,
( ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_21 ),
inference(avatar_contradiction_clause,[],[f731]) ).
fof(f731,plain,
( $false
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_21 ),
inference(subsumption_resolution,[],[f730,f61]) ).
fof(f730,plain,
( sP2(sk_c11)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_21 ),
inference(forward_demodulation,[],[f729,f326]) ).
fof(f729,plain,
( sP2(multiply(sk_c11,sk_c10))
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_21 ),
inference(subsumption_resolution,[],[f716,f62]) ).
fof(f716,plain,
( sP3(sk_c11)
| sP2(multiply(sk_c11,sk_c10))
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_21 ),
inference(superposition,[],[f277,f540]) ).
fof(f540,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f289,f539]) ).
fof(f539,plain,
( sk_c4 = sk_c11
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f532,f326]) ).
fof(f532,plain,
( sk_c4 = multiply(sk_c11,sk_c10)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f495,f523]) ).
fof(f523,plain,
( identity = sk_c10
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f291,f522]) ).
fof(f522,plain,
( ! [X0] : multiply(sF14,X0) = X0
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f521,f1]) ).
fof(f521,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF14,X0)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f520,f439]) ).
fof(f439,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f403,f438]) ).
fof(f438,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f434,f403]) ).
fof(f434,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f319,f426]) ).
fof(f426,plain,
( sk_c10 = sk_c8
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f424,f345]) ).
fof(f345,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| ~ spl28_8
| ~ spl28_9 ),
inference(superposition,[],[f319,f284]) ).
fof(f424,plain,
( sk_c10 = multiply(sk_c8,sk_c10)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(superposition,[],[f319,f410]) ).
fof(f410,plain,
( sk_c10 = multiply(sk_c7,sk_c10)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_10 ),
inference(forward_demodulation,[],[f405,f335]) ).
fof(f335,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl28_4
| ~ spl28_5 ),
inference(superposition,[],[f315,f288]) ).
fof(f288,plain,
( sk_c9 = multiply(sk_c5,sk_c10)
| ~ spl28_4 ),
inference(backward_demodulation,[],[f80,f162]) ).
fof(f162,plain,
( sk_c9 = sF16
| ~ spl28_4 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl28_4
<=> sk_c9 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_4])]) ).
fof(f80,plain,
multiply(sk_c5,sk_c10) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f315,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c5,X0)) = X0
| ~ spl28_5 ),
inference(forward_demodulation,[],[f314,f1]) ).
fof(f314,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c5,X0))
| ~ spl28_5 ),
inference(superposition,[],[f3,f293]) ).
fof(f293,plain,
( identity = multiply(sk_c10,sk_c5)
| ~ spl28_5 ),
inference(superposition,[],[f2,f287]) ).
fof(f287,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl28_5 ),
inference(backward_demodulation,[],[f82,f167]) ).
fof(f167,plain,
( sk_c10 = sF17
| ~ spl28_5 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl28_5
<=> sk_c10 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_5])]) ).
fof(f82,plain,
inverse(sk_c5) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f405,plain,
( multiply(sk_c10,sk_c9) = multiply(sk_c7,sk_c10)
| ~ spl28_8
| ~ spl28_10 ),
inference(superposition,[],[f305,f282]) ).
fof(f305,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl28_8 ),
inference(superposition,[],[f3,f284]) ).
fof(f319,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl28_9 ),
inference(forward_demodulation,[],[f318,f1]) ).
fof(f318,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl28_9 ),
inference(superposition,[],[f3,f295]) ).
fof(f295,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl28_9 ),
inference(superposition,[],[f2,f283]) ).
fof(f403,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c10,multiply(sk_c7,X0))
| ~ spl28_8
| ~ spl28_9 ),
inference(superposition,[],[f305,f319]) ).
fof(f495,plain,
( sk_c4 = multiply(sk_c11,identity)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f452,f477]) ).
fof(f477,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c4,X0)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f471,f466]) ).
fof(f466,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f445,f439]) ).
fof(f445,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f338,f439]) ).
fof(f338,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| ~ spl28_4
| ~ spl28_5 ),
inference(superposition,[],[f3,f335]) ).
fof(f471,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c9,multiply(sk_c11,X0))
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f461,f466]) ).
fof(f461,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c4,X0)) = multiply(sk_c9,multiply(sk_c11,X0))
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f402,f460]) ).
fof(f460,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c6,X0)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f456,f394]) ).
fof(f394,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c9,X0))
| ~ spl28_4
| ~ spl28_5
| ~ spl28_7 ),
inference(superposition,[],[f3,f388]) ).
fof(f388,plain,
( sk_c11 = multiply(sk_c11,sk_c9)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_7 ),
inference(forward_demodulation,[],[f382,f285]) ).
fof(f382,plain,
( multiply(sk_c6,sk_c10) = multiply(sk_c11,sk_c9)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_7 ),
inference(superposition,[],[f304,f335]) ).
fof(f304,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c6,multiply(sk_c10,X0))
| ~ spl28_7 ),
inference(superposition,[],[f3,f285]) ).
fof(f456,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c11,multiply(sk_c9,X0))
| ~ spl28_4
| ~ spl28_5
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f380,f441]) ).
fof(f441,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,X0)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f303,f439]) ).
fof(f303,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl28_4 ),
inference(superposition,[],[f3,f288]) ).
fof(f380,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c11,multiply(sk_c5,X0))
| ~ spl28_5
| ~ spl28_7 ),
inference(superposition,[],[f304,f315]) ).
fof(f402,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = multiply(sk_c9,multiply(sk_c4,X0))
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6 ),
inference(forward_demodulation,[],[f401,f3]) ).
fof(f401,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = multiply(multiply(sk_c9,sk_c4),X0)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6 ),
inference(superposition,[],[f3,f370]) ).
fof(f370,plain,
( multiply(sk_c9,sk_c6) = multiply(sk_c9,sk_c4)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6 ),
inference(forward_demodulation,[],[f365,f303]) ).
fof(f365,plain,
( multiply(sk_c9,sk_c6) = multiply(sk_c5,multiply(sk_c10,sk_c4))
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6 ),
inference(superposition,[],[f303,f323]) ).
fof(f323,plain,
( multiply(sk_c10,sk_c4) = multiply(sk_c10,sk_c6)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_6 ),
inference(forward_demodulation,[],[f321,f320]) ).
fof(f320,plain,
( multiply(sk_c10,sk_c4) = multiply(sk_c4,identity)
| ~ spl28_2
| ~ spl28_3 ),
inference(superposition,[],[f301,f292]) ).
fof(f321,plain,
( multiply(sk_c4,identity) = multiply(sk_c10,sk_c6)
| ~ spl28_2
| ~ spl28_6 ),
inference(superposition,[],[f301,f294]) ).
fof(f294,plain,
( identity = multiply(sk_c11,sk_c6)
| ~ spl28_6 ),
inference(superposition,[],[f2,f286]) ).
fof(f452,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f320,f439]) ).
fof(f714,plain,
( spl28_43
| spl28_44
| ~ spl28_20 ),
inference(avatar_split_clause,[],[f680,f273,f711,f707]) ).
fof(f680,plain,
( sP4(sF26)
| sP5(multiply(sk_c2,sk_c10))
| ~ spl28_20 ),
inference(superposition,[],[f274,f124]) ).
fof(f684,plain,
( ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_20 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f683,plain,
( $false
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_20 ),
inference(subsumption_resolution,[],[f682,f481]) ).
fof(f481,plain,
( ~ sP5(sk_c10)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f64,f472]) ).
fof(f472,plain,
( sk_c10 = sk_c9
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f368,f466]) ).
fof(f368,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4 ),
inference(forward_demodulation,[],[f362,f288]) ).
fof(f362,plain,
( multiply(sk_c5,sk_c10) = multiply(sk_c9,sk_c10)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4 ),
inference(superposition,[],[f303,f333]) ).
fof(f682,plain,
( sP5(sk_c10)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_20 ),
inference(forward_demodulation,[],[f681,f439]) ).
fof(f681,plain,
( sP5(multiply(sk_c10,sk_c10))
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_20 ),
inference(subsumption_resolution,[],[f677,f63]) ).
fof(f677,plain,
( sP4(sk_c10)
| sP5(multiply(sk_c10,sk_c10))
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_20 ),
inference(superposition,[],[f274,f536]) ).
fof(f536,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f76,f533]) ).
fof(f533,plain,
( sk_c10 = sF14
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f531,f76]) ).
fof(f531,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f475,f523]) ).
fof(f475,plain,
( sk_c10 = inverse(identity)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f287,f474]) ).
fof(f474,plain,
( identity = sk_c5
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f470,f466]) ).
fof(f470,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f458,f466]) ).
fof(f458,plain,
( multiply(sk_c9,sk_c5) = multiply(sk_c9,identity)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f364,f441]) ).
fof(f364,plain,
( multiply(sk_c9,sk_c5) = multiply(sk_c5,identity)
| ~ spl28_4
| ~ spl28_5 ),
inference(superposition,[],[f303,f293]) ).
fof(f657,plain,
( ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_19 ),
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f656,plain,
( $false
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_19 ),
inference(subsumption_resolution,[],[f655,f66]) ).
fof(f655,plain,
( sP7(sk_c10)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_19 ),
inference(forward_demodulation,[],[f654,f339]) ).
fof(f339,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl28_6
| ~ spl28_7 ),
inference(superposition,[],[f317,f285]) ).
fof(f317,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
| ~ spl28_6 ),
inference(forward_demodulation,[],[f316,f1]) ).
fof(f316,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c6,X0))
| ~ spl28_6 ),
inference(superposition,[],[f3,f294]) ).
fof(f654,plain,
( sP7(multiply(sk_c11,sk_c11))
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_19 ),
inference(subsumption_resolution,[],[f641,f65]) ).
fof(f641,plain,
( sP6(sk_c11)
| sP7(multiply(sk_c11,sk_c11))
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_19 ),
inference(superposition,[],[f271,f540]) ).
fof(f639,plain,
( ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_18 ),
inference(avatar_contradiction_clause,[],[f638]) ).
fof(f638,plain,
( $false
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_18 ),
inference(subsumption_resolution,[],[f637,f68]) ).
fof(f637,plain,
( sP9(sk_c10)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_18 ),
inference(forward_demodulation,[],[f636,f536]) ).
fof(f636,plain,
( sP9(inverse(sk_c10))
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_18 ),
inference(forward_demodulation,[],[f635,f439]) ).
fof(f635,plain,
( sP9(multiply(sk_c10,inverse(sk_c10)))
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_18 ),
inference(subsumption_resolution,[],[f607,f67]) ).
fof(f607,plain,
( sP8(sk_c10)
| sP9(multiply(sk_c10,inverse(sk_c10)))
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_18 ),
inference(superposition,[],[f593,f525]) ).
fof(f525,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c10
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f2,f523]) ).
fof(f593,plain,
( ! [X4] :
( sP8(multiply(inverse(X4),sk_c10))
| sP9(multiply(X4,inverse(X4))) )
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_18 ),
inference(forward_demodulation,[],[f268,f472]) ).
fof(f538,plain,
( ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_16 ),
inference(avatar_contradiction_clause,[],[f537]) ).
fof(f537,plain,
( $false
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_16 ),
inference(subsumption_resolution,[],[f535,f484]) ).
fof(f484,plain,
( sP12(sk_c10)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_16 ),
inference(backward_demodulation,[],[f262,f472]) ).
fof(f262,plain,
( sP12(sk_c9)
| ~ spl28_16 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f535,plain,
( ~ sP12(sk_c10)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f144,f533]) ).
fof(f281,plain,
( spl28_16
| spl28_17
| spl28_18
| spl28_19
| spl28_20
| spl28_21
| spl28_22 ),
inference(avatar_split_clause,[],[f74,f279,f276,f273,f270,f267,f264,f260]) ).
fof(f74,plain,
! [X3,X8,X6,X9,X7,X4] :
( sP0(multiply(inverse(X9),sk_c9))
| sP1(multiply(X9,inverse(X9)))
| sP2(multiply(X8,sk_c10))
| sP3(inverse(X8))
| sP4(inverse(X7))
| sP5(multiply(X7,sk_c10))
| sP6(inverse(X6))
| sP7(multiply(X6,sk_c11))
| sP8(multiply(inverse(X4),sk_c9))
| sP9(multiply(X4,inverse(X4)))
| sP10(multiply(X3,sk_c10))
| sP11(inverse(X3))
| sP12(sk_c9) ),
inference(equality_resolution,[],[f73]) ).
fof(f73,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( sP0(multiply(inverse(X9),sk_c9))
| sP1(multiply(X9,inverse(X9)))
| sP2(multiply(X8,sk_c10))
| sP3(inverse(X8))
| sP4(inverse(X7))
| sP5(multiply(X7,sk_c10))
| sP6(inverse(X6))
| sP7(multiply(X6,sk_c11))
| sP8(multiply(X5,sk_c9))
| inverse(X4) != X5
| sP9(multiply(X4,X5))
| sP10(multiply(X3,sk_c10))
| sP11(inverse(X3))
| sP12(sk_c9) ),
inference(equality_resolution,[],[f72]) ).
fof(f72,plain,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sP0(multiply(X10,sk_c9))
| inverse(X9) != X10
| sP1(multiply(X9,X10))
| sP2(multiply(X8,sk_c10))
| sP3(inverse(X8))
| sP4(inverse(X7))
| sP5(multiply(X7,sk_c10))
| sP6(inverse(X6))
| sP7(multiply(X6,sk_c11))
| sP8(multiply(X5,sk_c9))
| inverse(X4) != X5
| sP9(multiply(X4,X5))
| sP10(multiply(X3,sk_c10))
| sP11(inverse(X3))
| sP12(sk_c9) ),
inference(inequality_splitting,[],[f58,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59]) ).
fof(f58,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X10,sk_c9)
| inverse(X9) != X10
| sk_c10 != multiply(X9,X10)
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != inverse(X8)
| sk_c10 != inverse(X7)
| sk_c9 != multiply(X7,sk_c10)
| sk_c11 != inverse(X6)
| sk_c10 != multiply(X6,sk_c11)
| sk_c10 != multiply(X5,sk_c9)
| inverse(X4) != X5
| sk_c10 != multiply(X4,X5)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != inverse(X3)
| inverse(sk_c10) != sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_55) ).
fof(f258,plain,
( spl28_15
| spl28_10 ),
inference(avatar_split_clause,[],[f143,f190,f247]) ).
fof(f143,plain,
( sk_c10 = sF22
| sk_c10 = sF27 ),
inference(definition_folding,[],[f57,f134,f92]) ).
fof(f57,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_54) ).
fof(f257,plain,
( spl28_15
| spl28_9 ),
inference(avatar_split_clause,[],[f142,f185,f247]) ).
fof(f142,plain,
( sk_c8 = sF21
| sk_c10 = sF27 ),
inference(definition_folding,[],[f56,f134,f90]) ).
fof(f56,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_53) ).
fof(f256,plain,
( spl28_15
| spl28_8 ),
inference(avatar_split_clause,[],[f141,f180,f247]) ).
fof(f141,plain,
( sk_c10 = sF20
| sk_c10 = sF27 ),
inference(definition_folding,[],[f55,f134,f88]) ).
fof(f55,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_52) ).
fof(f255,plain,
( spl28_15
| spl28_7 ),
inference(avatar_split_clause,[],[f140,f175,f247]) ).
fof(f140,plain,
( sk_c11 = sF19
| sk_c10 = sF27 ),
inference(definition_folding,[],[f54,f134,f86]) ).
fof(f54,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_51) ).
fof(f254,plain,
( spl28_15
| spl28_6 ),
inference(avatar_split_clause,[],[f139,f170,f247]) ).
fof(f139,plain,
( sk_c11 = sF18
| sk_c10 = sF27 ),
inference(definition_folding,[],[f53,f134,f84]) ).
fof(f53,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_50) ).
fof(f253,plain,
( spl28_15
| spl28_5 ),
inference(avatar_split_clause,[],[f138,f165,f247]) ).
fof(f138,plain,
( sk_c10 = sF17
| sk_c10 = sF27 ),
inference(definition_folding,[],[f52,f134,f82]) ).
fof(f52,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_49) ).
fof(f252,plain,
( spl28_15
| spl28_4 ),
inference(avatar_split_clause,[],[f137,f160,f247]) ).
fof(f137,plain,
( sk_c9 = sF16
| sk_c10 = sF27 ),
inference(definition_folding,[],[f51,f134,f80]) ).
fof(f51,axiom,
( sk_c9 = multiply(sk_c5,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_48) ).
fof(f251,plain,
( spl28_15
| spl28_3 ),
inference(avatar_split_clause,[],[f136,f155,f247]) ).
fof(f136,plain,
( sk_c11 = sF15
| sk_c10 = sF27 ),
inference(definition_folding,[],[f50,f134,f78]) ).
fof(f50,axiom,
( sk_c11 = inverse(sk_c4)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_47) ).
fof(f250,plain,
( spl28_15
| spl28_2 ),
inference(avatar_split_clause,[],[f135,f150,f247]) ).
fof(f135,plain,
( sk_c10 = sF13
| sk_c10 = sF27 ),
inference(definition_folding,[],[f49,f134,f75]) ).
fof(f49,axiom,
( sk_c10 = multiply(sk_c4,sk_c11)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_46) ).
fof(f245,plain,
( spl28_14
| spl28_10 ),
inference(avatar_split_clause,[],[f133,f190,f234]) ).
fof(f133,plain,
( sk_c10 = sF22
| sk_c3 = sF26 ),
inference(definition_folding,[],[f48,f124,f92]) ).
fof(f48,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_45) ).
fof(f244,plain,
( spl28_14
| spl28_9 ),
inference(avatar_split_clause,[],[f132,f185,f234]) ).
fof(f132,plain,
( sk_c8 = sF21
| sk_c3 = sF26 ),
inference(definition_folding,[],[f47,f124,f90]) ).
fof(f47,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_44) ).
fof(f243,plain,
( spl28_14
| spl28_8 ),
inference(avatar_split_clause,[],[f131,f180,f234]) ).
fof(f131,plain,
( sk_c10 = sF20
| sk_c3 = sF26 ),
inference(definition_folding,[],[f46,f124,f88]) ).
fof(f46,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_43) ).
fof(f242,plain,
( spl28_14
| spl28_7 ),
inference(avatar_split_clause,[],[f130,f175,f234]) ).
fof(f130,plain,
( sk_c11 = sF19
| sk_c3 = sF26 ),
inference(definition_folding,[],[f45,f124,f86]) ).
fof(f45,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_42) ).
fof(f241,plain,
( spl28_14
| spl28_6 ),
inference(avatar_split_clause,[],[f129,f170,f234]) ).
fof(f129,plain,
( sk_c11 = sF18
| sk_c3 = sF26 ),
inference(definition_folding,[],[f44,f124,f84]) ).
fof(f44,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_41) ).
fof(f240,plain,
( spl28_14
| spl28_5 ),
inference(avatar_split_clause,[],[f128,f165,f234]) ).
fof(f128,plain,
( sk_c10 = sF17
| sk_c3 = sF26 ),
inference(definition_folding,[],[f43,f124,f82]) ).
fof(f43,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_40) ).
fof(f239,plain,
( spl28_14
| spl28_4 ),
inference(avatar_split_clause,[],[f127,f160,f234]) ).
fof(f127,plain,
( sk_c9 = sF16
| sk_c3 = sF26 ),
inference(definition_folding,[],[f42,f124,f80]) ).
fof(f42,axiom,
( sk_c9 = multiply(sk_c5,sk_c10)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_39) ).
fof(f238,plain,
( spl28_14
| spl28_3 ),
inference(avatar_split_clause,[],[f126,f155,f234]) ).
fof(f126,plain,
( sk_c11 = sF15
| sk_c3 = sF26 ),
inference(definition_folding,[],[f41,f124,f78]) ).
fof(f41,axiom,
( sk_c11 = inverse(sk_c4)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_38) ).
fof(f237,plain,
( spl28_14
| spl28_2 ),
inference(avatar_split_clause,[],[f125,f150,f234]) ).
fof(f125,plain,
( sk_c10 = sF13
| sk_c3 = sF26 ),
inference(definition_folding,[],[f40,f124,f75]) ).
fof(f40,axiom,
( sk_c10 = multiply(sk_c4,sk_c11)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_37) ).
fof(f232,plain,
( spl28_13
| spl28_10 ),
inference(avatar_split_clause,[],[f123,f190,f221]) ).
fof(f123,plain,
( sk_c10 = sF22
| sk_c10 = sF25 ),
inference(definition_folding,[],[f39,f114,f92]) ).
fof(f39,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_36) ).
fof(f231,plain,
( spl28_13
| spl28_9 ),
inference(avatar_split_clause,[],[f122,f185,f221]) ).
fof(f122,plain,
( sk_c8 = sF21
| sk_c10 = sF25 ),
inference(definition_folding,[],[f38,f114,f90]) ).
fof(f38,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_35) ).
fof(f230,plain,
( spl28_13
| spl28_8 ),
inference(avatar_split_clause,[],[f121,f180,f221]) ).
fof(f121,plain,
( sk_c10 = sF20
| sk_c10 = sF25 ),
inference(definition_folding,[],[f37,f114,f88]) ).
fof(f37,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_34) ).
fof(f229,plain,
( spl28_13
| spl28_7 ),
inference(avatar_split_clause,[],[f120,f175,f221]) ).
fof(f120,plain,
( sk_c11 = sF19
| sk_c10 = sF25 ),
inference(definition_folding,[],[f36,f114,f86]) ).
fof(f36,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_33) ).
fof(f228,plain,
( spl28_13
| spl28_6 ),
inference(avatar_split_clause,[],[f119,f170,f221]) ).
fof(f119,plain,
( sk_c11 = sF18
| sk_c10 = sF25 ),
inference(definition_folding,[],[f35,f114,f84]) ).
fof(f35,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_32) ).
fof(f227,plain,
( spl28_13
| spl28_5 ),
inference(avatar_split_clause,[],[f118,f165,f221]) ).
fof(f118,plain,
( sk_c10 = sF17
| sk_c10 = sF25 ),
inference(definition_folding,[],[f34,f114,f82]) ).
fof(f34,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_31) ).
fof(f226,plain,
( spl28_13
| spl28_4 ),
inference(avatar_split_clause,[],[f117,f160,f221]) ).
fof(f117,plain,
( sk_c9 = sF16
| sk_c10 = sF25 ),
inference(definition_folding,[],[f33,f114,f80]) ).
fof(f33,axiom,
( sk_c9 = multiply(sk_c5,sk_c10)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_30) ).
fof(f225,plain,
( spl28_13
| spl28_3 ),
inference(avatar_split_clause,[],[f116,f155,f221]) ).
fof(f116,plain,
( sk_c11 = sF15
| sk_c10 = sF25 ),
inference(definition_folding,[],[f32,f114,f78]) ).
fof(f32,axiom,
( sk_c11 = inverse(sk_c4)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_29) ).
fof(f224,plain,
( spl28_13
| spl28_2 ),
inference(avatar_split_clause,[],[f115,f150,f221]) ).
fof(f115,plain,
( sk_c10 = sF13
| sk_c10 = sF25 ),
inference(definition_folding,[],[f31,f114,f75]) ).
fof(f31,axiom,
( sk_c10 = multiply(sk_c4,sk_c11)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_28) ).
fof(f219,plain,
( spl28_12
| spl28_10 ),
inference(avatar_split_clause,[],[f113,f190,f208]) ).
fof(f113,plain,
( sk_c10 = sF22
| sk_c11 = sF24 ),
inference(definition_folding,[],[f30,f104,f92]) ).
fof(f30,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_27) ).
fof(f218,plain,
( spl28_12
| spl28_9 ),
inference(avatar_split_clause,[],[f112,f185,f208]) ).
fof(f112,plain,
( sk_c8 = sF21
| sk_c11 = sF24 ),
inference(definition_folding,[],[f29,f104,f90]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_26) ).
fof(f217,plain,
( spl28_12
| spl28_8 ),
inference(avatar_split_clause,[],[f111,f180,f208]) ).
fof(f111,plain,
( sk_c10 = sF20
| sk_c11 = sF24 ),
inference(definition_folding,[],[f28,f104,f88]) ).
fof(f28,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_25) ).
fof(f216,plain,
( spl28_12
| spl28_7 ),
inference(avatar_split_clause,[],[f110,f175,f208]) ).
fof(f110,plain,
( sk_c11 = sF19
| sk_c11 = sF24 ),
inference(definition_folding,[],[f27,f104,f86]) ).
fof(f27,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_24) ).
fof(f215,plain,
( spl28_12
| spl28_6 ),
inference(avatar_split_clause,[],[f109,f170,f208]) ).
fof(f109,plain,
( sk_c11 = sF18
| sk_c11 = sF24 ),
inference(definition_folding,[],[f26,f104,f84]) ).
fof(f26,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_23) ).
fof(f214,plain,
( spl28_12
| spl28_5 ),
inference(avatar_split_clause,[],[f108,f165,f208]) ).
fof(f108,plain,
( sk_c10 = sF17
| sk_c11 = sF24 ),
inference(definition_folding,[],[f25,f104,f82]) ).
fof(f25,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_22) ).
fof(f213,plain,
( spl28_12
| spl28_4 ),
inference(avatar_split_clause,[],[f107,f160,f208]) ).
fof(f107,plain,
( sk_c9 = sF16
| sk_c11 = sF24 ),
inference(definition_folding,[],[f24,f104,f80]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c5,sk_c10)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_21) ).
fof(f212,plain,
( spl28_12
| spl28_3 ),
inference(avatar_split_clause,[],[f106,f155,f208]) ).
fof(f106,plain,
( sk_c11 = sF15
| sk_c11 = sF24 ),
inference(definition_folding,[],[f23,f104,f78]) ).
fof(f23,axiom,
( sk_c11 = inverse(sk_c4)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_20) ).
fof(f211,plain,
( spl28_12
| spl28_2 ),
inference(avatar_split_clause,[],[f105,f150,f208]) ).
fof(f105,plain,
( sk_c10 = sF13
| sk_c11 = sF24 ),
inference(definition_folding,[],[f22,f104,f75]) ).
fof(f22,axiom,
( sk_c10 = multiply(sk_c4,sk_c11)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_19) ).
fof(f206,plain,
( spl28_11
| spl28_10 ),
inference(avatar_split_clause,[],[f103,f190,f195]) ).
fof(f103,plain,
( sk_c10 = sF22
| sk_c11 = sF23 ),
inference(definition_folding,[],[f21,f94,f92]) ).
fof(f21,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_18) ).
fof(f205,plain,
( spl28_11
| spl28_9 ),
inference(avatar_split_clause,[],[f102,f185,f195]) ).
fof(f102,plain,
( sk_c8 = sF21
| sk_c11 = sF23 ),
inference(definition_folding,[],[f20,f94,f90]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_17) ).
fof(f204,plain,
( spl28_11
| spl28_8 ),
inference(avatar_split_clause,[],[f101,f180,f195]) ).
fof(f101,plain,
( sk_c10 = sF20
| sk_c11 = sF23 ),
inference(definition_folding,[],[f19,f94,f88]) ).
fof(f19,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_16) ).
fof(f203,plain,
( spl28_11
| spl28_7 ),
inference(avatar_split_clause,[],[f100,f175,f195]) ).
fof(f100,plain,
( sk_c11 = sF19
| sk_c11 = sF23 ),
inference(definition_folding,[],[f18,f94,f86]) ).
fof(f18,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_15) ).
fof(f202,plain,
( spl28_11
| spl28_6 ),
inference(avatar_split_clause,[],[f99,f170,f195]) ).
fof(f99,plain,
( sk_c11 = sF18
| sk_c11 = sF23 ),
inference(definition_folding,[],[f17,f94,f84]) ).
fof(f17,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_14) ).
fof(f201,plain,
( spl28_11
| spl28_5 ),
inference(avatar_split_clause,[],[f98,f165,f195]) ).
fof(f98,plain,
( sk_c10 = sF17
| sk_c11 = sF23 ),
inference(definition_folding,[],[f16,f94,f82]) ).
fof(f16,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_13) ).
fof(f200,plain,
( spl28_11
| spl28_4 ),
inference(avatar_split_clause,[],[f97,f160,f195]) ).
fof(f97,plain,
( sk_c9 = sF16
| sk_c11 = sF23 ),
inference(definition_folding,[],[f15,f94,f80]) ).
fof(f15,axiom,
( sk_c9 = multiply(sk_c5,sk_c10)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_12) ).
fof(f199,plain,
( spl28_11
| spl28_3 ),
inference(avatar_split_clause,[],[f96,f155,f195]) ).
fof(f96,plain,
( sk_c11 = sF15
| sk_c11 = sF23 ),
inference(definition_folding,[],[f14,f94,f78]) ).
fof(f14,axiom,
( sk_c11 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_11) ).
fof(f198,plain,
( spl28_11
| spl28_2 ),
inference(avatar_split_clause,[],[f95,f150,f195]) ).
fof(f95,plain,
( sk_c10 = sF13
| sk_c11 = sF23 ),
inference(definition_folding,[],[f13,f94,f75]) ).
fof(f13,axiom,
( sk_c10 = multiply(sk_c4,sk_c11)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_10) ).
fof(f193,plain,
( spl28_1
| spl28_10 ),
inference(avatar_split_clause,[],[f93,f190,f146]) ).
fof(f93,plain,
( sk_c10 = sF22
| sk_c9 = sF14 ),
inference(definition_folding,[],[f12,f76,f92]) ).
fof(f12,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_9) ).
fof(f188,plain,
( spl28_1
| spl28_9 ),
inference(avatar_split_clause,[],[f91,f185,f146]) ).
fof(f91,plain,
( sk_c8 = sF21
| sk_c9 = sF14 ),
inference(definition_folding,[],[f11,f76,f90]) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c7)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_8) ).
fof(f183,plain,
( spl28_1
| spl28_8 ),
inference(avatar_split_clause,[],[f89,f180,f146]) ).
fof(f89,plain,
( sk_c10 = sF20
| sk_c9 = sF14 ),
inference(definition_folding,[],[f10,f76,f88]) ).
fof(f10,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_7) ).
fof(f178,plain,
( spl28_1
| spl28_7 ),
inference(avatar_split_clause,[],[f87,f175,f146]) ).
fof(f87,plain,
( sk_c11 = sF19
| sk_c9 = sF14 ),
inference(definition_folding,[],[f9,f76,f86]) ).
fof(f9,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_6) ).
fof(f173,plain,
( spl28_1
| spl28_6 ),
inference(avatar_split_clause,[],[f85,f170,f146]) ).
fof(f85,plain,
( sk_c11 = sF18
| sk_c9 = sF14 ),
inference(definition_folding,[],[f8,f76,f84]) ).
fof(f8,axiom,
( sk_c11 = inverse(sk_c6)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_5) ).
fof(f168,plain,
( spl28_1
| spl28_5 ),
inference(avatar_split_clause,[],[f83,f165,f146]) ).
fof(f83,plain,
( sk_c10 = sF17
| sk_c9 = sF14 ),
inference(definition_folding,[],[f7,f76,f82]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c5)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_4) ).
fof(f163,plain,
( spl28_1
| spl28_4 ),
inference(avatar_split_clause,[],[f81,f160,f146]) ).
fof(f81,plain,
( sk_c9 = sF16
| sk_c9 = sF14 ),
inference(definition_folding,[],[f6,f76,f80]) ).
fof(f6,axiom,
( sk_c9 = multiply(sk_c5,sk_c10)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_3) ).
fof(f158,plain,
( spl28_1
| spl28_3 ),
inference(avatar_split_clause,[],[f79,f155,f146]) ).
fof(f79,plain,
( sk_c11 = sF15
| sk_c9 = sF14 ),
inference(definition_folding,[],[f5,f76,f78]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c4)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_2) ).
fof(f153,plain,
( spl28_1
| spl28_2 ),
inference(avatar_split_clause,[],[f77,f150,f146]) ).
fof(f77,plain,
( sk_c10 = sF13
| sk_c9 = sF14 ),
inference(definition_folding,[],[f4,f76,f75]) ).
fof(f4,axiom,
( sk_c10 = multiply(sk_c4,sk_c11)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.D6FHkRMVyb/Vampire---4.8_20162',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP389-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14 % 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
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 18:40:10 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.35 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.D6FHkRMVyb/Vampire---4.8_20162
% 0.58/0.76 % (20386)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.76 % (20389)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.76 % (20381)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.76 % (20383)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76 % (20384)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.76 % (20382)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.76 % (20385)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.76 % (20389)Refutation not found, incomplete strategy% (20389)------------------------------
% 0.58/0.76 % (20389)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (20387)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.58/0.76 % (20389)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (20389)Memory used [KB]: 1023
% 0.58/0.76 % (20389)Time elapsed: 0.002 s
% 0.58/0.76 % (20389)Instructions burned: 5 (million)
% 0.58/0.76 % (20389)------------------------------
% 0.58/0.76 % (20389)------------------------------
% 0.58/0.76 % (20381)Refutation not found, incomplete strategy% (20381)------------------------------
% 0.58/0.76 % (20381)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (20381)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (20381)Memory used [KB]: 1102
% 0.58/0.76 % (20381)Time elapsed: 0.004 s
% 0.58/0.76 % (20381)Instructions burned: 5 (million)
% 0.58/0.76 % (20384)Refutation not found, incomplete strategy% (20384)------------------------------
% 0.58/0.76 % (20384)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (20381)------------------------------
% 0.58/0.76 % (20381)------------------------------
% 0.58/0.76 % (20384)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (20384)Memory used [KB]: 1018
% 0.58/0.76 % (20384)Time elapsed: 0.004 s
% 0.58/0.76 % (20385)Refutation not found, incomplete strategy% (20385)------------------------------
% 0.58/0.76 % (20385)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (20385)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (20385)Memory used [KB]: 1103
% 0.58/0.76 % (20385)Time elapsed: 0.004 s
% 0.58/0.76 % (20385)Instructions burned: 6 (million)
% 0.58/0.76 % (20385)------------------------------
% 0.58/0.76 % (20385)------------------------------
% 0.58/0.76 % (20384)Instructions burned: 5 (million)
% 0.58/0.76 % (20384)------------------------------
% 0.58/0.76 % (20384)------------------------------
% 0.58/0.76 % (20392)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.58/0.76 % (20383)Refutation not found, incomplete strategy% (20383)------------------------------
% 0.58/0.76 % (20383)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (20383)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (20383)Memory used [KB]: 1093
% 0.58/0.76 % (20383)Time elapsed: 0.005 s
% 0.58/0.76 % (20383)Instructions burned: 7 (million)
% 0.58/0.76 % (20383)------------------------------
% 0.58/0.76 % (20383)------------------------------
% 0.58/0.76 % (20387)Refutation not found, incomplete strategy% (20387)------------------------------
% 0.58/0.76 % (20387)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (20387)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (20387)Memory used [KB]: 1112
% 0.58/0.76 % (20387)Time elapsed: 0.006 s
% 0.58/0.76 % (20387)Instructions burned: 8 (million)
% 0.58/0.76 % (20387)------------------------------
% 0.58/0.76 % (20387)------------------------------
% 0.58/0.76 % (20392)Refutation not found, incomplete strategy% (20392)------------------------------
% 0.58/0.76 % (20392)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (20392)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (20392)Memory used [KB]: 1093
% 0.58/0.76 % (20392)Time elapsed: 0.003 s
% 0.58/0.76 % (20392)Instructions burned: 7 (million)
% 0.58/0.76 % (20392)------------------------------
% 0.58/0.76 % (20392)------------------------------
% 0.58/0.76 % (20394)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.58/0.76 % (20395)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.58/0.76 % (20396)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.58/0.76 % (20400)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.58/0.77 % (20397)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.58/0.77 % (20399)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.58/0.77 % (20386)Instruction limit reached!
% 0.58/0.77 % (20386)------------------------------
% 0.58/0.77 % (20386)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77 % (20386)Termination reason: Unknown
% 0.58/0.77 % (20386)Termination phase: Saturation
% 0.58/0.77
% 0.58/0.77 % (20386)Memory used [KB]: 1651
% 0.58/0.77 % (20386)Time elapsed: 0.013 s
% 0.58/0.77 % (20386)Instructions burned: 45 (million)
% 0.58/0.77 % (20386)------------------------------
% 0.58/0.77 % (20386)------------------------------
% 0.58/0.77 % (20394)Refutation not found, incomplete strategy% (20394)------------------------------
% 0.58/0.77 % (20394)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77 % (20394)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77
% 0.58/0.77 % (20394)Memory used [KB]: 1072
% 0.58/0.77 % (20394)Time elapsed: 0.005 s
% 0.58/0.77 % (20394)Instructions burned: 8 (million)
% 0.58/0.77 % (20394)------------------------------
% 0.58/0.77 % (20394)------------------------------
% 0.58/0.77 % (20396)Refutation not found, incomplete strategy% (20396)------------------------------
% 0.58/0.77 % (20396)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77 % (20396)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77
% 0.58/0.77 % (20396)Memory used [KB]: 1091
% 0.58/0.77 % (20396)Time elapsed: 0.005 s
% 0.58/0.77 % (20396)Instructions burned: 7 (million)
% 0.58/0.77 % (20396)------------------------------
% 0.58/0.77 % (20396)------------------------------
% 0.58/0.77 % (20399)Refutation not found, incomplete strategy% (20399)------------------------------
% 0.58/0.77 % (20399)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77 % (20399)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77
% 0.58/0.77 % (20399)Memory used [KB]: 1105
% 0.58/0.77 % (20395)Refutation not found, incomplete strategy% (20395)------------------------------
% 0.58/0.77 % (20395)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77 % (20399)Time elapsed: 0.004 s
% 0.58/0.77 % (20399)Instructions burned: 5 (million)
% 0.58/0.77 % (20399)------------------------------
% 0.58/0.77 % (20399)------------------------------
% 0.58/0.77 % (20395)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77
% 0.58/0.77 % (20395)Memory used [KB]: 1107
% 0.58/0.77 % (20395)Time elapsed: 0.007 s
% 0.58/0.77 % (20395)Instructions burned: 9 (million)
% 0.58/0.77 % (20395)------------------------------
% 0.58/0.77 % (20395)------------------------------
% 0.58/0.77 % (20403)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)
% 0.58/0.77 % (20400)Refutation not found, incomplete strategy% (20400)------------------------------
% 0.58/0.77 % (20400)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77 % (20400)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77
% 0.68/0.77 % (20400)Memory used [KB]: 1167
% 0.68/0.77 % (20400)Time elapsed: 0.006 s
% 0.68/0.77 % (20400)Instructions burned: 15 (million)
% 0.68/0.77 % (20400)------------------------------
% 0.68/0.77 % (20400)------------------------------
% 0.68/0.77 % (20403)Refutation not found, incomplete strategy% (20403)------------------------------
% 0.68/0.77 % (20403)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.77 % (20403)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77
% 0.68/0.77 % (20403)Memory used [KB]: 1024
% 0.68/0.77 % (20403)Time elapsed: 0.002 s
% 0.68/0.77 % (20403)Instructions burned: 5 (million)
% 0.68/0.77 % (20403)------------------------------
% 0.68/0.77 % (20403)------------------------------
% 0.68/0.77 % (20404)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)
% 0.68/0.77 % (20409)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)
% 0.68/0.77 % (20405)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)
% 0.68/0.77 % (20407)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)
% 0.68/0.77 % (20410)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)
% 0.68/0.77 % (20408)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)
% 0.68/0.77 % (20409)Refutation not found, incomplete strategy% (20409)------------------------------
% 0.68/0.77 % (20409)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.77 % (20409)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77
% 0.68/0.77 % (20409)Memory used [KB]: 1093
% 0.68/0.77 % (20409)Time elapsed: 0.003 s
% 0.68/0.77 % (20409)Instructions burned: 7 (million)
% 0.68/0.77 % (20409)------------------------------
% 0.68/0.77 % (20409)------------------------------
% 0.68/0.77 % (20404)Refutation not found, incomplete strategy% (20404)------------------------------
% 0.68/0.77 % (20404)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.77 % (20404)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77
% 0.68/0.77 % (20404)Memory used [KB]: 1088
% 0.68/0.77 % (20404)Time elapsed: 0.005 s
% 0.68/0.77 % (20404)Instructions burned: 5 (million)
% 0.68/0.77 % (20404)------------------------------
% 0.68/0.77 % (20404)------------------------------
% 0.68/0.77 % (20410)Refutation not found, incomplete strategy% (20410)------------------------------
% 0.68/0.77 % (20410)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.78 % (20410)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78
% 0.68/0.78 % (20410)Memory used [KB]: 1106
% 0.68/0.78 % (20410)Time elapsed: 0.002 s
% 0.68/0.78 % (20410)Instructions burned: 6 (million)
% 0.68/0.78 % (20410)------------------------------
% 0.68/0.78 % (20410)------------------------------
% 0.68/0.78 % (20407)Refutation not found, incomplete strategy% (20407)------------------------------
% 0.68/0.78 % (20407)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.78 % (20407)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78
% 0.68/0.78 % (20407)Memory used [KB]: 1023
% 0.68/0.78 % (20407)Time elapsed: 0.004 s
% 0.68/0.78 % (20407)Instructions burned: 4 (million)
% 0.68/0.78 % (20407)------------------------------
% 0.68/0.78 % (20407)------------------------------
% 0.68/0.78 % (20411)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)
% 0.68/0.78 % (20412)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)
% 0.68/0.78 % (20408)Refutation not found, incomplete strategy% (20408)------------------------------
% 0.68/0.78 % (20408)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.78 % (20408)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78
% 0.68/0.78 % (20408)Memory used [KB]: 1106
% 0.68/0.78 % (20408)Time elapsed: 0.028 s
% 0.68/0.78 % (20408)Instructions burned: 8 (million)
% 0.68/0.78 % (20408)------------------------------
% 0.68/0.78 % (20408)------------------------------
% 0.68/0.78 % (20412)Refutation not found, incomplete strategy% (20412)------------------------------
% 0.68/0.78 % (20412)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.78 % (20412)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78
% 0.68/0.78 % (20412)Memory used [KB]: 1106
% 0.68/0.78 % (20412)Time elapsed: 0.025 s
% 0.68/0.78 % (20412)Instructions burned: 5 (million)
% 0.68/0.78 % (20412)------------------------------
% 0.68/0.78 % (20412)------------------------------
% 0.68/0.78 % (20413)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)
% 0.68/0.78 % (20414)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)
% 0.68/0.78 % (20418)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)
% 0.68/0.78 % (20417)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)
% 0.68/0.78 % (20382)Instruction limit reached!
% 0.68/0.78 % (20382)------------------------------
% 0.68/0.78 % (20382)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.78 % (20382)Termination reason: Unknown
% 0.68/0.78 % (20382)Termination phase: Saturation
% 0.68/0.78
% 0.68/0.78 % (20382)Memory used [KB]: 1815
% 0.68/0.78 % (20382)Time elapsed: 0.028 s
% 0.68/0.78 % (20382)Instructions burned: 51 (million)
% 0.68/0.78 % (20382)------------------------------
% 0.68/0.78 % (20382)------------------------------
% 0.68/0.79 % (20421)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)
% 0.68/0.79 % (20421)Refutation not found, incomplete strategy% (20421)------------------------------
% 0.68/0.79 % (20421)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.79 % (20421)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.79
% 0.68/0.79 % (20421)Memory used [KB]: 999
% 0.68/0.79 % (20421)Time elapsed: 0.004 s
% 0.68/0.79 % (20421)Instructions burned: 5 (million)
% 0.68/0.79 % (20421)------------------------------
% 0.68/0.79 % (20421)------------------------------
% 0.68/0.79 % (20411)Instruction limit reached!
% 0.68/0.79 % (20411)------------------------------
% 0.68/0.79 % (20411)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.79 % (20411)Termination reason: Unknown
% 0.68/0.79 % (20411)Termination phase: Saturation
% 0.68/0.79
% 0.68/0.79 % (20411)Memory used [KB]: 1181
% 0.68/0.79 % (20411)Time elapsed: 0.037 s
% 0.68/0.79 % (20411)Instructions burned: 53 (million)
% 0.68/0.79 % (20411)------------------------------
% 0.68/0.79 % (20411)------------------------------
% 0.68/0.79 % (20424)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)
% 0.68/0.79 % (20424)Refutation not found, incomplete strategy% (20424)------------------------------
% 0.68/0.79 % (20424)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.79 % (20425)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)
% 0.68/0.79 % (20424)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.79
% 0.68/0.79 % (20424)Memory used [KB]: 1120
% 0.68/0.79 % (20424)Time elapsed: 0.003 s
% 0.68/0.79 % (20424)Instructions burned: 6 (million)
% 0.68/0.79 % (20424)------------------------------
% 0.68/0.79 % (20424)------------------------------
% 0.68/0.80 % (20414)Instruction limit reached!
% 0.68/0.80 % (20414)------------------------------
% 0.68/0.80 % (20414)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.80 % (20414)Termination reason: Unknown
% 0.68/0.80 % (20414)Termination phase: Saturation
% 0.68/0.80
% 0.68/0.80 % (20414)Memory used [KB]: 1194
% 0.68/0.80 % (20414)Time elapsed: 0.042 s
% 0.68/0.80 % (20414)Instructions burned: 36 (million)
% 0.68/0.80 % (20414)------------------------------
% 0.68/0.80 % (20414)------------------------------
% 0.68/0.80 % (20428)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)
% 0.68/0.80 % (20430)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)
% 0.68/0.80 % (20425)Refutation not found, incomplete strategy% (20425)------------------------------
% 0.68/0.80 % (20425)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.80 % (20425)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.80
% 0.68/0.80 % (20425)Memory used [KB]: 1175
% 0.68/0.80 % (20425)Time elapsed: 0.009 s
% 0.68/0.80 % (20425)Instructions burned: 12 (million)
% 0.68/0.80 % (20425)------------------------------
% 0.68/0.80 % (20425)------------------------------
% 0.68/0.81 % (20434)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)
% 0.68/0.82 % (20418)Instruction limit reached!
% 0.68/0.82 % (20418)------------------------------
% 0.68/0.82 % (20418)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.82 % (20418)Termination reason: Unknown
% 0.68/0.82 % (20418)Termination phase: Saturation
% 0.68/0.82
% 0.68/0.82 % (20418)Memory used [KB]: 2206
% 0.68/0.82 % (20418)Time elapsed: 0.035 s
% 0.68/0.82 % (20418)Instructions burned: 110 (million)
% 0.68/0.82 % (20418)------------------------------
% 0.68/0.82 % (20418)------------------------------
% 0.68/0.82 % (20439)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2995ds/37Mi)
% 0.68/0.82 % (20405)Instruction limit reached!
% 0.68/0.82 % (20405)------------------------------
% 0.68/0.82 % (20405)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.82 % (20417)Instruction limit reached!
% 0.68/0.82 % (20417)------------------------------
% 0.68/0.82 % (20417)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.82 % (20417)Termination reason: Unknown
% 0.68/0.82 % (20417)Termination phase: Saturation
% 0.68/0.82
% 0.68/0.82 % (20417)Memory used [KB]: 1386
% 0.68/0.82 % (20417)Time elapsed: 0.040 s
% 0.68/0.82 % (20417)Instructions burned: 88 (million)
% 0.68/0.82 % (20417)------------------------------
% 0.68/0.82 % (20417)------------------------------
% 0.68/0.82 % (20405)Termination reason: Unknown
% 0.68/0.82 % (20405)Termination phase: Saturation
% 0.68/0.82
% 0.68/0.82 % (20405)Memory used [KB]: 2234
% 0.68/0.82 % (20405)Time elapsed: 0.070 s
% 0.68/0.82 % (20405)Instructions burned: 93 (million)
% 0.68/0.82 % (20405)------------------------------
% 0.68/0.82 % (20405)------------------------------
% 0.68/0.82 % (20441)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2995ds/55Mi)
% 0.68/0.82 % (20442)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2995ds/47Mi)
% 0.68/0.82 % (20428)First to succeed.
% 0.95/0.83 % (20428)Refutation found. Thanks to Tanya!
% 0.95/0.83 % SZS status Unsatisfiable for Vampire---4
% 0.95/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.95/0.83 % (20428)------------------------------
% 0.95/0.83 % (20428)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.95/0.83 % (20428)Termination reason: Refutation
% 0.95/0.83
% 0.95/0.83 % (20428)Memory used [KB]: 1663
% 0.95/0.83 % (20428)Time elapsed: 0.031 s
% 0.95/0.83 % (20428)Instructions burned: 100 (million)
% 0.95/0.83 % (20428)------------------------------
% 0.95/0.83 % (20428)------------------------------
% 0.95/0.83 % (20334)Success in time 0.475 s
% 0.95/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------