TSTP Solution File: GRP369-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP369-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:34 EDT 2022
% Result : Unsatisfiable 2.12s 0.67s
% Output : Refutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 80
% Syntax : Number of formulae : 467 ( 35 unt; 0 def)
% Number of atoms : 2213 ( 568 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 3435 (1689 ~;1725 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 23 con; 0-2 aty)
% Number of variables : 86 ( 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2315,plain,
$false,
inference(avatar_sat_refutation,[],[f112,f117,f126,f131,f132,f141,f142,f147,f156,f161,f162,f163,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f205,f206,f207,f208,f209,f210,f211,f212,f213,f387,f444,f470,f516,f532,f554,f716,f1753,f1849,f1885,f2012,f2022,f2175,f2269,f2284,f2298,f2314]) ).
fof(f2314,plain,
( ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_18
| ~ spl13_24 ),
inference(avatar_contradiction_clause,[],[f2313]) ).
fof(f2313,plain,
( $false
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_18
| ~ spl13_24 ),
inference(subsumption_resolution,[],[f2312,f2210]) ).
fof(f2210,plain,
( identity = inverse(identity)
| ~ spl13_5
| ~ spl13_9
| ~ spl13_24 ),
inference(backward_demodulation,[],[f2180,f2203]) ).
fof(f2203,plain,
( identity = sk_c8
| ~ spl13_5
| ~ spl13_9
| ~ spl13_24 ),
inference(forward_demodulation,[],[f2179,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f2179,plain,
( sk_c8 = multiply(inverse(identity),identity)
| ~ spl13_5
| ~ spl13_9
| ~ spl13_24 ),
inference(backward_demodulation,[],[f718,f2176]) ).
fof(f2176,plain,
( identity = sk_c7
| ~ spl13_9
| ~ spl13_24 ),
inference(backward_demodulation,[],[f146,f451]) ).
fof(f451,plain,
( identity = sF7
| ~ spl13_24 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f450,plain,
( spl13_24
<=> identity = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_24])]) ).
fof(f146,plain,
( sk_c7 = sF7
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl13_9
<=> sk_c7 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f718,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl13_5 ),
inference(forward_demodulation,[],[f269,f125]) ).
fof(f125,plain,
( sk_c7 = sF2
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl13_5
<=> sk_c7 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f269,plain,
sk_c8 = multiply(inverse(sF2),identity),
inference(superposition,[],[f237,f220]) ).
fof(f220,plain,
identity = multiply(sF2,sk_c8),
inference(superposition,[],[f2,f51]) ).
fof(f51,plain,
inverse(sk_c8) = sF2,
introduced(function_definition,[]) ).
fof(f237,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f228,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f228,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f2180,plain,
( identity = inverse(sk_c8)
| ~ spl13_5
| ~ spl13_9
| ~ spl13_24 ),
inference(backward_demodulation,[],[f932,f2176]) ).
fof(f932,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl13_5 ),
inference(forward_demodulation,[],[f51,f125]) ).
fof(f2312,plain,
( identity != inverse(identity)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_18
| ~ spl13_24 ),
inference(forward_demodulation,[],[f2307,f2210]) ).
fof(f2307,plain,
( identity != inverse(inverse(identity))
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_18
| ~ spl13_24 ),
inference(trivial_inequality_removal,[],[f2305]) ).
fof(f2305,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_18
| ~ spl13_24 ),
inference(superposition,[],[f2302,f2]) ).
fof(f2302,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_18
| ~ spl13_24 ),
inference(forward_demodulation,[],[f2301,f2183]) ).
fof(f2183,plain,
( identity = sk_c9
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_24 ),
inference(backward_demodulation,[],[f1590,f2176]) ).
fof(f1590,plain,
( sk_c7 = sk_c9
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13 ),
inference(backward_demodulation,[],[f1583,f140]) ).
fof(f140,plain,
( sk_c7 = sF12
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl13_8
<=> sk_c7 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f1583,plain,
( sk_c9 = sF12
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_13 ),
inference(backward_demodulation,[],[f84,f1582]) ).
fof(f1582,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_13 ),
inference(forward_demodulation,[],[f1329,f1578]) ).
fof(f1578,plain,
( sk_c4 = sk_c5
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5 ),
inference(backward_demodulation,[],[f1571,f1577]) ).
fof(f1577,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl13_1
| ~ spl13_5 ),
inference(forward_demodulation,[],[f1576,f932]) ).
fof(f1576,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl13_1 ),
inference(backward_demodulation,[],[f270,f107]) ).
fof(f107,plain,
( sk_c8 = sF4
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl13_1
<=> sk_c8 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f270,plain,
sk_c4 = multiply(inverse(sF4),identity),
inference(superposition,[],[f237,f221]) ).
fof(f221,plain,
identity = multiply(sF4,sk_c4),
inference(superposition,[],[f2,f54]) ).
fof(f54,plain,
inverse(sk_c4) = sF4,
introduced(function_definition,[]) ).
fof(f1571,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl13_3
| ~ spl13_5 ),
inference(backward_demodulation,[],[f1118,f932]) ).
fof(f1118,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl13_3 ),
inference(backward_demodulation,[],[f272,f116]) ).
fof(f116,plain,
( sk_c8 = sF10
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl13_3
<=> sk_c8 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f272,plain,
sk_c5 = multiply(inverse(sF10),identity),
inference(superposition,[],[f237,f222]) ).
fof(f222,plain,
identity = multiply(sF10,sk_c5),
inference(superposition,[],[f2,f64]) ).
fof(f64,plain,
inverse(sk_c5) = sF10,
introduced(function_definition,[]) ).
fof(f1329,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl13_13 ),
inference(forward_demodulation,[],[f48,f167]) ).
fof(f167,plain,
( sk_c9 = sF0
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl13_13
<=> sk_c9 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f48,plain,
multiply(sk_c5,sk_c8) = sF0,
introduced(function_definition,[]) ).
fof(f84,plain,
multiply(sk_c4,sk_c8) = sF12,
introduced(function_definition,[]) ).
fof(f2301,plain,
( ! [X5] :
( sk_c9 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl13_9
| ~ spl13_18
| ~ spl13_24 ),
inference(forward_demodulation,[],[f2300,f2176]) ).
fof(f2300,plain,
( ! [X5] :
( sk_c9 != multiply(X5,sk_c7)
| identity != inverse(X5) )
| ~ spl13_9
| ~ spl13_18
| ~ spl13_24 ),
inference(forward_demodulation,[],[f204,f2176]) ).
fof(f204,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c9 != multiply(X5,sk_c7) )
| ~ spl13_18 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl13_18
<=> ! [X5] :
( sk_c9 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f2298,plain,
( ~ spl13_5
| ~ spl13_9
| ~ spl13_15
| ~ spl13_24 ),
inference(avatar_contradiction_clause,[],[f2297]) ).
fof(f2297,plain,
( $false
| ~ spl13_5
| ~ spl13_9
| ~ spl13_15
| ~ spl13_24 ),
inference(subsumption_resolution,[],[f2296,f2210]) ).
fof(f2296,plain,
( identity != inverse(identity)
| ~ spl13_5
| ~ spl13_9
| ~ spl13_15
| ~ spl13_24 ),
inference(forward_demodulation,[],[f2292,f2210]) ).
fof(f2292,plain,
( identity != inverse(inverse(identity))
| ~ spl13_5
| ~ spl13_9
| ~ spl13_15
| ~ spl13_24 ),
inference(trivial_inequality_removal,[],[f2290]) ).
fof(f2290,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl13_5
| ~ spl13_9
| ~ spl13_15
| ~ spl13_24 ),
inference(superposition,[],[f2287,f2]) ).
fof(f2287,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl13_5
| ~ spl13_9
| ~ spl13_15
| ~ spl13_24 ),
inference(forward_demodulation,[],[f2286,f2203]) ).
fof(f2286,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| sk_c8 != inverse(X6) )
| ~ spl13_5
| ~ spl13_9
| ~ spl13_15
| ~ spl13_24 ),
inference(forward_demodulation,[],[f2285,f2176]) ).
fof(f2285,plain,
( ! [X6] :
( sk_c7 != multiply(X6,identity)
| sk_c8 != inverse(X6) )
| ~ spl13_5
| ~ spl13_9
| ~ spl13_15
| ~ spl13_24 ),
inference(forward_demodulation,[],[f195,f2203]) ).
fof(f195,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) )
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl13_15
<=> ! [X6] :
( sk_c7 != multiply(X6,sk_c8)
| sk_c8 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f2284,plain,
( ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_14
| ~ spl13_24 ),
inference(avatar_contradiction_clause,[],[f2283]) ).
fof(f2283,plain,
( $false
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_14
| ~ spl13_24 ),
inference(subsumption_resolution,[],[f2282,f2210]) ).
fof(f2282,plain,
( identity != inverse(identity)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_14
| ~ spl13_24 ),
inference(forward_demodulation,[],[f2277,f2210]) ).
fof(f2277,plain,
( identity != inverse(inverse(identity))
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_14
| ~ spl13_24 ),
inference(trivial_inequality_removal,[],[f2275]) ).
fof(f2275,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_14
| ~ spl13_24 ),
inference(superposition,[],[f2272,f2]) ).
fof(f2272,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_14
| ~ spl13_24 ),
inference(forward_demodulation,[],[f2271,f2183]) ).
fof(f2271,plain,
( ! [X7] :
( sk_c9 != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl13_5
| ~ spl13_9
| ~ spl13_14
| ~ spl13_24 ),
inference(forward_demodulation,[],[f2270,f2203]) ).
fof(f2270,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| identity != inverse(X7) )
| ~ spl13_5
| ~ spl13_9
| ~ spl13_14
| ~ spl13_24 ),
inference(forward_demodulation,[],[f192,f2203]) ).
fof(f192,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) )
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl13_14
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f2269,plain,
( ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_17
| ~ spl13_24 ),
inference(avatar_contradiction_clause,[],[f2268]) ).
fof(f2268,plain,
( $false
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_17
| ~ spl13_24 ),
inference(subsumption_resolution,[],[f2267,f2210]) ).
fof(f2267,plain,
( identity != inverse(identity)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_17
| ~ spl13_24 ),
inference(forward_demodulation,[],[f2254,f2210]) ).
fof(f2254,plain,
( identity != inverse(inverse(identity))
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_17
| ~ spl13_24 ),
inference(trivial_inequality_removal,[],[f2252]) ).
fof(f2252,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_17
| ~ spl13_24 ),
inference(superposition,[],[f2237,f2]) ).
fof(f2237,plain,
( ! [X8] :
( identity != multiply(X8,identity)
| identity != inverse(X8) )
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_17
| ~ spl13_24 ),
inference(forward_demodulation,[],[f2236,f2176]) ).
fof(f2236,plain,
( ! [X8] :
( identity != inverse(X8)
| sk_c7 != multiply(X8,identity) )
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_17
| ~ spl13_24 ),
inference(forward_demodulation,[],[f2235,f2183]) ).
fof(f2235,plain,
( ! [X8] :
( identity != inverse(X8)
| sk_c7 != multiply(X8,sk_c9) )
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13
| ~ spl13_17
| ~ spl13_24 ),
inference(forward_demodulation,[],[f201,f2183]) ).
fof(f201,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| sk_c7 != multiply(X8,sk_c9) )
| ~ spl13_17 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl13_17
<=> ! [X8] :
( sk_c7 != multiply(X8,sk_c9)
| sk_c9 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f2175,plain,
( ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(avatar_contradiction_clause,[],[f2174]) ).
fof(f2174,plain,
( $false
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(subsumption_resolution,[],[f2173,f2171]) ).
fof(f2171,plain,
( sk_c7 != sk_c8
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(backward_demodulation,[],[f129,f2170]) ).
fof(f2170,plain,
( sk_c7 = sF6
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(forward_demodulation,[],[f2169,f1614]) ).
fof(f1614,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(backward_demodulation,[],[f1581,f1590]) ).
fof(f1581,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl13_9
| ~ spl13_11 ),
inference(forward_demodulation,[],[f1327,f146]) ).
fof(f1327,plain,
( sk_c9 = multiply(sk_c9,sF7)
| ~ spl13_11 ),
inference(backward_demodulation,[],[f298,f155]) ).
fof(f155,plain,
( sk_c9 = sF8
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl13_11
<=> sk_c9 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f298,plain,
sk_c9 = multiply(sF8,sF7),
inference(forward_demodulation,[],[f266,f61]) ).
fof(f61,plain,
inverse(sk_c6) = sF8,
introduced(function_definition,[]) ).
fof(f266,plain,
sk_c9 = multiply(inverse(sk_c6),sF7),
inference(superposition,[],[f237,f59]) ).
fof(f59,plain,
multiply(sk_c6,sk_c9) = sF7,
introduced(function_definition,[]) ).
fof(f2169,plain,
( multiply(sk_c7,sk_c7) = sF6
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13 ),
inference(forward_demodulation,[],[f57,f1590]) ).
fof(f57,plain,
multiply(sk_c7,sk_c9) = sF6,
introduced(function_definition,[]) ).
fof(f129,plain,
( sk_c8 != sF6
| spl13_6 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl13_6
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f2173,plain,
( sk_c7 = sk_c8
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(backward_demodulation,[],[f1616,f2172]) ).
fof(f2172,plain,
( sk_c7 = multiply(sk_c8,sk_c7)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(forward_demodulation,[],[f1612,f2162]) ).
fof(f2162,plain,
( sk_c8 = sk_c6
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_11
| ~ spl13_13 ),
inference(backward_demodulation,[],[f1606,f718]) ).
fof(f1606,plain,
( sk_c6 = multiply(inverse(sk_c7),identity)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_11
| ~ spl13_13 ),
inference(backward_demodulation,[],[f571,f1590]) ).
fof(f571,plain,
( sk_c6 = multiply(inverse(sk_c9),identity)
| ~ spl13_11 ),
inference(backward_demodulation,[],[f271,f155]) ).
fof(f271,plain,
sk_c6 = multiply(inverse(sF8),identity),
inference(superposition,[],[f237,f223]) ).
fof(f223,plain,
identity = multiply(sF8,sk_c6),
inference(superposition,[],[f2,f61]) ).
fof(f1612,plain,
( sk_c7 = multiply(sk_c6,sk_c7)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_9
| ~ spl13_13 ),
inference(backward_demodulation,[],[f1448,f1590]) ).
fof(f1448,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl13_9 ),
inference(forward_demodulation,[],[f59,f146]) ).
fof(f1616,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13 ),
inference(backward_demodulation,[],[f1584,f1590]) ).
fof(f1584,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_13 ),
inference(backward_demodulation,[],[f1573,f1583]) ).
fof(f1573,plain,
( sk_c8 = multiply(sk_c8,sF12)
| ~ spl13_1 ),
inference(backward_demodulation,[],[f390,f107]) ).
fof(f390,plain,
sk_c8 = multiply(sF4,sF12),
inference(forward_demodulation,[],[f264,f54]) ).
fof(f264,plain,
sk_c8 = multiply(inverse(sk_c4),sF12),
inference(superposition,[],[f237,f84]) ).
fof(f2022,plain,
( ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13
| spl13_24 ),
inference(avatar_contradiction_clause,[],[f2021]) ).
fof(f2021,plain,
( $false
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13
| spl13_24 ),
inference(subsumption_resolution,[],[f1996,f452]) ).
fof(f452,plain,
( identity != sF7
| spl13_24 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f1996,plain,
( identity = sF7
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(backward_demodulation,[],[f146,f1992]) ).
fof(f1992,plain,
( identity = sk_c7
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(forward_demodulation,[],[f1988,f2]) ).
fof(f1988,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(backward_demodulation,[],[f1604,f1978]) ).
fof(f1978,plain,
( sk_c7 = sk_c8
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(backward_demodulation,[],[f1599,f1614]) ).
fof(f1599,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_13 ),
inference(backward_demodulation,[],[f218,f1590]) ).
fof(f218,plain,
( multiply(sk_c7,sk_c9) = sk_c8
| ~ spl13_6 ),
inference(backward_demodulation,[],[f57,f130]) ).
fof(f130,plain,
( sk_c8 = sF6
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f1604,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c8)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_13 ),
inference(backward_demodulation,[],[f260,f1590]) ).
fof(f260,plain,
( sk_c9 = multiply(inverse(sk_c7),sk_c8)
| ~ spl13_6 ),
inference(superposition,[],[f237,f218]) ).
fof(f2012,plain,
( ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13
| spl13_20 ),
inference(avatar_contradiction_clause,[],[f2011]) ).
fof(f2011,plain,
( $false
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13
| spl13_20 ),
inference(subsumption_resolution,[],[f1999,f429]) ).
fof(f429,plain,
( identity != sF0
| spl13_20 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f427,plain,
( spl13_20
<=> identity = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).
fof(f1999,plain,
( identity = sF0
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(backward_demodulation,[],[f1594,f1992]) ).
fof(f1594,plain,
( sk_c7 = sF0
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13 ),
inference(backward_demodulation,[],[f167,f1590]) ).
fof(f1885,plain,
( ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| spl13_19
| ~ spl13_20 ),
inference(avatar_contradiction_clause,[],[f1884]) ).
fof(f1884,plain,
( $false
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| spl13_19
| ~ spl13_20 ),
inference(subsumption_resolution,[],[f1883,f1856]) ).
fof(f1856,plain,
( identity != inverse(identity)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| spl13_19
| ~ spl13_20 ),
inference(forward_demodulation,[],[f425,f1768]) ).
fof(f1768,plain,
( identity = sk_c5
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_20 ),
inference(forward_demodulation,[],[f1578,f1765]) ).
fof(f1765,plain,
( identity = sk_c4
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_20 ),
inference(forward_demodulation,[],[f1764,f1]) ).
fof(f1764,plain,
( sk_c4 = multiply(identity,identity)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_20 ),
inference(forward_demodulation,[],[f1577,f1755]) ).
fof(f1755,plain,
( identity = sk_c7
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_20 ),
inference(forward_demodulation,[],[f1594,f428]) ).
fof(f428,plain,
( identity = sF0
| ~ spl13_20 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f425,plain,
( identity != inverse(sk_c5)
| spl13_19 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f423,plain,
( spl13_19
<=> identity = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f1883,plain,
( identity = inverse(identity)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_20 ),
inference(forward_demodulation,[],[f1766,f1796]) ).
fof(f1796,plain,
( identity = sk_c8
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_20 ),
inference(forward_demodulation,[],[f1795,f2]) ).
fof(f1795,plain,
( sk_c8 = multiply(inverse(identity),identity)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_20 ),
inference(forward_demodulation,[],[f718,f1755]) ).
fof(f1766,plain,
( identity = inverse(sk_c8)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_20 ),
inference(forward_demodulation,[],[f932,f1755]) ).
fof(f1849,plain,
( ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_16
| ~ spl13_19
| ~ spl13_20 ),
inference(avatar_contradiction_clause,[],[f1848]) ).
fof(f1848,plain,
( $false
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_16
| ~ spl13_19
| ~ spl13_20 ),
inference(subsumption_resolution,[],[f1847,f1769]) ).
fof(f1769,plain,
( identity = inverse(identity)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_19
| ~ spl13_20 ),
inference(backward_demodulation,[],[f424,f1768]) ).
fof(f424,plain,
( identity = inverse(sk_c5)
| ~ spl13_19 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f1847,plain,
( identity != inverse(identity)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_16
| ~ spl13_19
| ~ spl13_20 ),
inference(forward_demodulation,[],[f1846,f1769]) ).
fof(f1846,plain,
( identity != inverse(inverse(identity))
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_16
| ~ spl13_19
| ~ spl13_20 ),
inference(subsumption_resolution,[],[f1843,f1]) ).
fof(f1843,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_16
| ~ spl13_19
| ~ spl13_20 ),
inference(superposition,[],[f1800,f2]) ).
fof(f1800,plain,
( ! [X4] :
( identity != multiply(identity,multiply(X4,identity))
| identity != inverse(X4) )
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_16
| ~ spl13_19
| ~ spl13_20 ),
inference(forward_demodulation,[],[f1799,f1773]) ).
fof(f1773,plain,
( identity = sk_c8
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_19
| ~ spl13_20 ),
inference(forward_demodulation,[],[f1772,f1769]) ).
fof(f1772,plain,
( sk_c8 = inverse(identity)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_20 ),
inference(forward_demodulation,[],[f1574,f1765]) ).
fof(f1574,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl13_1 ),
inference(backward_demodulation,[],[f54,f107]) ).
fof(f1799,plain,
( ! [X4] :
( sk_c8 != multiply(identity,multiply(X4,identity))
| identity != inverse(X4) )
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_16
| ~ spl13_20 ),
inference(forward_demodulation,[],[f1798,f1755]) ).
fof(f1798,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c8 != multiply(identity,multiply(X4,identity)) )
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_16
| ~ spl13_20 ),
inference(forward_demodulation,[],[f1622,f1755]) ).
fof(f1622,plain,
( ! [X4] :
( sk_c8 != multiply(sk_c7,multiply(X4,sk_c7))
| sk_c7 != inverse(X4) )
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_16 ),
inference(forward_demodulation,[],[f1595,f1590]) ).
fof(f1595,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c8 != multiply(sk_c9,multiply(X4,sk_c9)) )
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13
| ~ spl13_16 ),
inference(backward_demodulation,[],[f198,f1590]) ).
fof(f198,plain,
( ! [X4] :
( sk_c8 != multiply(sk_c9,multiply(X4,sk_c9))
| sk_c9 != inverse(X4) )
| ~ spl13_16 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl13_16
<=> ! [X4] :
( sk_c9 != inverse(X4)
| sk_c8 != multiply(sk_c9,multiply(X4,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f1753,plain,
( ~ spl13_1
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13
| ~ spl13_16 ),
inference(avatar_contradiction_clause,[],[f1752]) ).
fof(f1752,plain,
( $false
| ~ spl13_1
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13
| ~ spl13_16 ),
inference(subsumption_resolution,[],[f1751,f1702]) ).
fof(f1702,plain,
( identity = inverse(identity)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(forward_demodulation,[],[f1632,f1643]) ).
fof(f1643,plain,
( identity = sk_c7
| ~ spl13_1
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(backward_demodulation,[],[f1614,f1633]) ).
fof(f1633,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(backward_demodulation,[],[f1008,f1626]) ).
fof(f1626,plain,
( sk_c7 = sk_c8
| ~ spl13_1
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(backward_demodulation,[],[f1624,f1614]) ).
fof(f1624,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_13 ),
inference(forward_demodulation,[],[f1597,f1618]) ).
fof(f1618,plain,
( sk_c7 = sk_c2
| ~ spl13_1
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_13 ),
inference(backward_demodulation,[],[f1605,f1604]) ).
fof(f1605,plain,
( sk_c2 = multiply(inverse(sk_c7),sk_c8)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13 ),
inference(backward_demodulation,[],[f262,f1590]) ).
fof(f262,plain,
( sk_c2 = multiply(inverse(sk_c9),sk_c8)
| ~ spl13_4 ),
inference(superposition,[],[f237,f216]) ).
fof(f216,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| ~ spl13_4 ),
inference(backward_demodulation,[],[f49,f121]) ).
fof(f121,plain,
( sk_c8 = sF1
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl13_4
<=> sk_c8 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f49,plain,
multiply(sk_c9,sk_c2) = sF1,
introduced(function_definition,[]) ).
fof(f1597,plain,
( sk_c8 = multiply(sk_c7,sk_c2)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_8
| ~ spl13_13 ),
inference(backward_demodulation,[],[f216,f1590]) ).
fof(f1008,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl13_5 ),
inference(forward_demodulation,[],[f220,f125]) ).
fof(f1632,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(backward_demodulation,[],[f932,f1626]) ).
fof(f1751,plain,
( identity != inverse(identity)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13
| ~ spl13_16 ),
inference(forward_demodulation,[],[f1750,f1702]) ).
fof(f1750,plain,
( identity != inverse(inverse(identity))
| ~ spl13_1
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13
| ~ spl13_16 ),
inference(subsumption_resolution,[],[f1747,f1]) ).
fof(f1747,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13
| ~ spl13_16 ),
inference(superposition,[],[f1710,f2]) ).
fof(f1710,plain,
( ! [X4] :
( identity != multiply(identity,multiply(X4,identity))
| identity != inverse(X4) )
| ~ spl13_1
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13
| ~ spl13_16 ),
inference(forward_demodulation,[],[f1709,f1643]) ).
fof(f1709,plain,
( ! [X4] :
( sk_c7 != multiply(sk_c7,multiply(X4,sk_c7))
| identity != inverse(X4) )
| ~ spl13_1
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13
| ~ spl13_16 ),
inference(forward_demodulation,[],[f1641,f1643]) ).
fof(f1641,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(sk_c7,multiply(X4,sk_c7)) )
| ~ spl13_1
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_6
| ~ spl13_8
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13
| ~ spl13_16 ),
inference(backward_demodulation,[],[f1622,f1626]) ).
fof(f716,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12
| ~ spl13_16 ),
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f715,plain,
( $false
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12
| ~ spl13_16 ),
inference(subsumption_resolution,[],[f714,f650]) ).
fof(f650,plain,
( identity = inverse(identity)
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12 ),
inference(backward_demodulation,[],[f633,f640]) ).
fof(f640,plain,
( identity = sk_c7
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12 ),
inference(forward_demodulation,[],[f639,f607]) ).
fof(f607,plain,
( ! [X10] : multiply(sk_c7,X10) = X10
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12 ),
inference(backward_demodulation,[],[f598,f606]) ).
fof(f606,plain,
( sk_c7 = sF0
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12 ),
inference(backward_demodulation,[],[f581,f146]) ).
fof(f581,plain,
( sF7 = sF0
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_11
| ~ spl13_12 ),
inference(backward_demodulation,[],[f580,f276]) ).
fof(f276,plain,
( sF0 = multiply(sk_c5,sk_c9)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_12 ),
inference(backward_demodulation,[],[f48,f275]) ).
fof(f275,plain,
( sk_c9 = sk_c8
| ~ spl13_2
| ~ spl13_4
| ~ spl13_12 ),
inference(backward_demodulation,[],[f216,f274]) ).
fof(f274,plain,
( sk_c9 = multiply(sk_c9,sk_c2)
| ~ spl13_2
| ~ spl13_12 ),
inference(forward_demodulation,[],[f267,f219]) ).
fof(f219,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl13_2 ),
inference(backward_demodulation,[],[f52,f111]) ).
fof(f111,plain,
( sk_c9 = sF3
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl13_2
<=> sk_c9 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f52,plain,
inverse(sk_c1) = sF3,
introduced(function_definition,[]) ).
fof(f267,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c2)
| ~ spl13_12 ),
inference(superposition,[],[f237,f214]) ).
fof(f214,plain,
( sk_c2 = multiply(sk_c1,sk_c9)
| ~ spl13_12 ),
inference(backward_demodulation,[],[f62,f160]) ).
fof(f160,plain,
( sk_c2 = sF9
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl13_12
<=> sk_c2 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f62,plain,
multiply(sk_c1,sk_c9) = sF9,
introduced(function_definition,[]) ).
fof(f580,plain,
( sF7 = multiply(sk_c5,sk_c9)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_11
| ~ spl13_12 ),
inference(backward_demodulation,[],[f59,f576]) ).
fof(f576,plain,
( sk_c5 = sk_c6
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_11
| ~ spl13_12 ),
inference(forward_demodulation,[],[f575,f564]) ).
fof(f564,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_12 ),
inference(backward_demodulation,[],[f560,f125]) ).
fof(f560,plain,
( sk_c5 = multiply(sF2,identity)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_12 ),
inference(backward_demodulation,[],[f556,f277]) ).
fof(f277,plain,
( sF2 = inverse(sk_c9)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_12 ),
inference(backward_demodulation,[],[f51,f275]) ).
fof(f556,plain,
( sk_c5 = multiply(inverse(sk_c9),identity)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_12 ),
inference(backward_demodulation,[],[f272,f555]) ).
fof(f555,plain,
( sk_c9 = sF10
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_12 ),
inference(forward_demodulation,[],[f116,f275]) ).
fof(f575,plain,
( sk_c6 = multiply(sk_c7,identity)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_5
| ~ spl13_11
| ~ spl13_12 ),
inference(forward_demodulation,[],[f571,f565]) ).
fof(f565,plain,
( sk_c7 = inverse(sk_c9)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_5
| ~ spl13_12 ),
inference(backward_demodulation,[],[f277,f125]) ).
fof(f598,plain,
( ! [X10] : multiply(sF0,X10) = X10
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_12 ),
inference(backward_demodulation,[],[f596,f597]) ).
fof(f597,plain,
( sF0 = sF12
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_12 ),
inference(backward_demodulation,[],[f278,f589]) ).
fof(f589,plain,
( sF0 = multiply(sk_c4,sk_c9)
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_12 ),
inference(backward_demodulation,[],[f276,f588]) ).
fof(f588,plain,
( sk_c4 = sk_c5
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_12 ),
inference(backward_demodulation,[],[f564,f587]) ).
fof(f587,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl13_1
| ~ spl13_2
| ~ spl13_4
| ~ spl13_5
| ~ spl13_12 ),
inference(forward_demodulation,[],[f583,f565]) ).
fof(f583,plain,
( sk_c4 = multiply(inverse(sk_c9),identity)
| ~ spl13_1
| ~ spl13_2
| ~ spl13_4
| ~ spl13_12 ),
inference(backward_demodulation,[],[f270,f582]) ).
fof(f582,plain,
( sk_c9 = sF4
| ~ spl13_1
| ~ spl13_2
| ~ spl13_4
| ~ spl13_12 ),
inference(forward_demodulation,[],[f107,f275]) ).
fof(f278,plain,
( sF12 = multiply(sk_c4,sk_c9)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_12 ),
inference(backward_demodulation,[],[f84,f275]) ).
fof(f596,plain,
( ! [X10] : multiply(sF12,X10) = X10
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_12 ),
inference(backward_demodulation,[],[f285,f594]) ).
fof(f594,plain,
( ! [X13] : multiply(sk_c4,multiply(sk_c9,X13)) = X13
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_12 ),
inference(backward_demodulation,[],[f568,f588]) ).
fof(f568,plain,
( ! [X13] : multiply(sk_c5,multiply(sk_c9,X13)) = X13
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_12 ),
inference(backward_demodulation,[],[f297,f567]) ).
fof(f567,plain,
( sk_c5 = sk_c1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_12 ),
inference(forward_demodulation,[],[f566,f564]) ).
fof(f566,plain,
( sk_c1 = multiply(sk_c7,identity)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_5
| ~ spl13_12 ),
inference(forward_demodulation,[],[f288,f125]) ).
fof(f288,plain,
( sk_c1 = multiply(sF2,identity)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_12 ),
inference(forward_demodulation,[],[f263,f277]) ).
fof(f263,plain,
( sk_c1 = multiply(inverse(sk_c9),identity)
| ~ spl13_2 ),
inference(superposition,[],[f237,f224]) ).
fof(f224,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl13_2 ),
inference(superposition,[],[f2,f219]) ).
fof(f297,plain,
( ! [X13] : multiply(sk_c1,multiply(sk_c9,X13)) = X13
| ~ spl13_2
| ~ spl13_4
| ~ spl13_12 ),
inference(forward_demodulation,[],[f294,f1]) ).
fof(f294,plain,
( ! [X13] : multiply(identity,X13) = multiply(sk_c1,multiply(sk_c9,X13))
| ~ spl13_2
| ~ spl13_4
| ~ spl13_12 ),
inference(backward_demodulation,[],[f234,f291]) ).
fof(f291,plain,
( identity = sk_c2
| ~ spl13_2
| ~ spl13_4
| ~ spl13_12 ),
inference(forward_demodulation,[],[f290,f2]) ).
fof(f290,plain,
( sk_c2 = multiply(inverse(sk_c9),sk_c9)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_12 ),
inference(forward_demodulation,[],[f262,f275]) ).
fof(f234,plain,
( ! [X13] : multiply(sk_c2,X13) = multiply(sk_c1,multiply(sk_c9,X13))
| ~ spl13_12 ),
inference(superposition,[],[f3,f214]) ).
fof(f285,plain,
( ! [X10] : multiply(sF12,X10) = multiply(sk_c4,multiply(sk_c9,X10))
| ~ spl13_2
| ~ spl13_4
| ~ spl13_12 ),
inference(backward_demodulation,[],[f231,f275]) ).
fof(f231,plain,
! [X10] : multiply(sk_c4,multiply(sk_c8,X10)) = multiply(sF12,X10),
inference(superposition,[],[f3,f84]) ).
fof(f639,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12 ),
inference(forward_demodulation,[],[f632,f633]) ).
fof(f632,plain,
( sk_c7 = multiply(inverse(sk_c7),identity)
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12 ),
inference(backward_demodulation,[],[f563,f623]) ).
fof(f623,plain,
( sk_c7 = sk_c9
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12 ),
inference(backward_demodulation,[],[f610,f621]) ).
fof(f621,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12 ),
inference(backward_demodulation,[],[f256,f616]) ).
fof(f616,plain,
( sk_c9 = inverse(identity)
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12 ),
inference(backward_demodulation,[],[f592,f612]) ).
fof(f612,plain,
( identity = sk_c4
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12 ),
inference(backward_demodulation,[],[f587,f607]) ).
fof(f592,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_12 ),
inference(backward_demodulation,[],[f559,f588]) ).
fof(f559,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_12 ),
inference(backward_demodulation,[],[f64,f555]) ).
fof(f256,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f237,f1]) ).
fof(f610,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12 ),
inference(backward_demodulation,[],[f561,f606]) ).
fof(f561,plain,
( sk_c9 = multiply(sk_c9,sF0)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_12 ),
inference(forward_demodulation,[],[f301,f555]) ).
fof(f301,plain,
( sk_c9 = multiply(sF10,sF0)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_12 ),
inference(forward_demodulation,[],[f300,f275]) ).
fof(f300,plain,
sk_c8 = multiply(sF10,sF0),
inference(forward_demodulation,[],[f265,f64]) ).
fof(f265,plain,
sk_c8 = multiply(inverse(sk_c5),sF0),
inference(superposition,[],[f237,f48]) ).
fof(f563,plain,
( sk_c9 = multiply(inverse(sk_c7),identity)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_5
| ~ spl13_12 ),
inference(backward_demodulation,[],[f562,f125]) ).
fof(f562,plain,
( sk_c9 = multiply(inverse(sF2),identity)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_12 ),
inference(forward_demodulation,[],[f269,f275]) ).
fof(f633,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12 ),
inference(backward_demodulation,[],[f565,f623]) ).
fof(f714,plain,
( identity != inverse(identity)
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12
| ~ spl13_16 ),
inference(forward_demodulation,[],[f713,f650]) ).
fof(f713,plain,
( identity != inverse(inverse(identity))
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12
| ~ spl13_16 ),
inference(subsumption_resolution,[],[f711,f1]) ).
fof(f711,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12
| ~ spl13_16 ),
inference(superposition,[],[f662,f2]) ).
fof(f662,plain,
( ! [X4] :
( identity != multiply(identity,multiply(X4,identity))
| identity != inverse(X4) )
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12
| ~ spl13_16 ),
inference(forward_demodulation,[],[f661,f640]) ).
fof(f661,plain,
( ! [X4] :
( identity != multiply(identity,multiply(X4,identity))
| sk_c7 != inverse(X4) )
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12
| ~ spl13_16 ),
inference(forward_demodulation,[],[f635,f645]) ).
fof(f645,plain,
( identity = sk_c9
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12 ),
inference(backward_demodulation,[],[f623,f640]) ).
fof(f635,plain,
( ! [X4] :
( sk_c9 != multiply(sk_c9,multiply(X4,sk_c9))
| sk_c7 != inverse(X4) )
| ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4
| ~ spl13_5
| ~ spl13_9
| ~ spl13_11
| ~ spl13_12
| ~ spl13_16 ),
inference(backward_demodulation,[],[f599,f623]) ).
fof(f599,plain,
( ! [X4] :
( sk_c9 != multiply(sk_c9,multiply(X4,sk_c9))
| sk_c9 != inverse(X4) )
| ~ spl13_2
| ~ spl13_4
| ~ spl13_12
| ~ spl13_16 ),
inference(forward_demodulation,[],[f198,f275]) ).
fof(f554,plain,
( ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_18 ),
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f553,plain,
( $false
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_18 ),
inference(subsumption_resolution,[],[f545,f353]) ).
fof(f353,plain,
( identity = inverse(identity)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12 ),
inference(backward_demodulation,[],[f334,f351]) ).
fof(f351,plain,
( identity = sk_c3
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12 ),
inference(forward_demodulation,[],[f337,f2]) ).
fof(f337,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12 ),
inference(backward_demodulation,[],[f261,f331]) ).
fof(f331,plain,
( identity = sk_c7
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12 ),
inference(forward_demodulation,[],[f328,f2]) ).
fof(f328,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12 ),
inference(backward_demodulation,[],[f299,f303]) ).
fof(f303,plain,
( sk_c7 = sk_c9
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12 ),
inference(backward_demodulation,[],[f281,f302]) ).
fof(f302,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl13_7
| ~ spl13_10 ),
inference(forward_demodulation,[],[f268,f215]) ).
fof(f215,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl13_7 ),
inference(backward_demodulation,[],[f55,f136]) ).
fof(f136,plain,
( sk_c7 = sF5
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl13_7
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f55,plain,
inverse(sk_c3) = sF5,
introduced(function_definition,[]) ).
fof(f268,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c9)
| ~ spl13_10 ),
inference(superposition,[],[f237,f217]) ).
fof(f217,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| ~ spl13_10 ),
inference(backward_demodulation,[],[f76,f151]) ).
fof(f151,plain,
( sk_c9 = sF11
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl13_10
<=> sk_c9 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f76,plain,
multiply(sk_c3,sk_c7) = sF11,
introduced(function_definition,[]) ).
fof(f281,plain,
( sk_c9 = multiply(sk_c7,sk_c9)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_12 ),
inference(backward_demodulation,[],[f218,f275]) ).
fof(f299,plain,
( sk_c9 = multiply(inverse(sk_c7),sk_c9)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_12 ),
inference(forward_demodulation,[],[f260,f275]) ).
fof(f261,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl13_7 ),
inference(superposition,[],[f237,f225]) ).
fof(f225,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl13_7 ),
inference(superposition,[],[f2,f215]) ).
fof(f334,plain,
( identity = inverse(sk_c3)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12 ),
inference(backward_demodulation,[],[f215,f331]) ).
fof(f545,plain,
( identity != inverse(identity)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_18 ),
inference(trivial_inequality_removal,[],[f539]) ).
fof(f539,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_18 ),
inference(superposition,[],[f538,f1]) ).
fof(f538,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_18 ),
inference(forward_demodulation,[],[f537,f338]) ).
fof(f338,plain,
( identity = sk_c9
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12 ),
inference(backward_demodulation,[],[f303,f331]) ).
fof(f537,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c9 != multiply(X5,identity) )
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_18 ),
inference(forward_demodulation,[],[f536,f331]) ).
fof(f536,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c9 != multiply(X5,identity) )
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_18 ),
inference(forward_demodulation,[],[f204,f331]) ).
fof(f532,plain,
( ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_17 ),
inference(avatar_contradiction_clause,[],[f531]) ).
fof(f531,plain,
( $false
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_17 ),
inference(subsumption_resolution,[],[f530,f353]) ).
fof(f530,plain,
( identity != inverse(identity)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_17 ),
inference(forward_demodulation,[],[f526,f353]) ).
fof(f526,plain,
( identity != inverse(inverse(identity))
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_17 ),
inference(trivial_inequality_removal,[],[f522]) ).
fof(f522,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_17 ),
inference(superposition,[],[f519,f2]) ).
fof(f519,plain,
( ! [X8] :
( identity != multiply(X8,identity)
| identity != inverse(X8) )
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_17 ),
inference(forward_demodulation,[],[f518,f331]) ).
fof(f518,plain,
( ! [X8] :
( identity != inverse(X8)
| sk_c7 != multiply(X8,identity) )
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_17 ),
inference(forward_demodulation,[],[f517,f338]) ).
fof(f517,plain,
( ! [X8] :
( sk_c7 != multiply(X8,sk_c9)
| identity != inverse(X8) )
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_17 ),
inference(forward_demodulation,[],[f201,f338]) ).
fof(f516,plain,
( ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_16 ),
inference(avatar_contradiction_clause,[],[f515]) ).
fof(f515,plain,
( $false
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_16 ),
inference(subsumption_resolution,[],[f514,f353]) ).
fof(f514,plain,
( identity != inverse(identity)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_16 ),
inference(forward_demodulation,[],[f513,f353]) ).
fof(f513,plain,
( identity != inverse(inverse(identity))
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_16 ),
inference(subsumption_resolution,[],[f478,f1]) ).
fof(f478,plain,
( identity != multiply(identity,identity)
| identity != inverse(inverse(identity))
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_16 ),
inference(superposition,[],[f475,f2]) ).
fof(f475,plain,
( ! [X4] :
( identity != multiply(identity,multiply(X4,identity))
| identity != inverse(X4) )
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_16 ),
inference(forward_demodulation,[],[f474,f344]) ).
fof(f344,plain,
( identity = sk_c8
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12 ),
inference(backward_demodulation,[],[f313,f331]) ).
fof(f313,plain,
( sk_c7 = sk_c8
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12 ),
inference(backward_demodulation,[],[f275,f303]) ).
fof(f474,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c8 != multiply(identity,multiply(X4,identity)) )
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_16 ),
inference(forward_demodulation,[],[f473,f338]) ).
fof(f473,plain,
( ! [X4] :
( sk_c8 != multiply(sk_c9,multiply(X4,sk_c9))
| identity != inverse(X4) )
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_16 ),
inference(forward_demodulation,[],[f198,f338]) ).
fof(f470,plain,
( ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_15 ),
inference(avatar_contradiction_clause,[],[f469]) ).
fof(f469,plain,
( $false
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f468,f353]) ).
fof(f468,plain,
( identity != inverse(identity)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f463,f353]) ).
fof(f463,plain,
( identity != inverse(inverse(identity))
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_15 ),
inference(trivial_inequality_removal,[],[f459]) ).
fof(f459,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_15 ),
inference(superposition,[],[f456,f2]) ).
fof(f456,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f455,f331]) ).
fof(f455,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c7 != multiply(X6,identity) )
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f454,f344]) ).
fof(f454,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) )
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f195,f344]) ).
fof(f444,plain,
( ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_14 ),
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f443,plain,
( $false
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f442,f353]) ).
fof(f442,plain,
( identity != inverse(identity)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_14 ),
inference(forward_demodulation,[],[f420,f353]) ).
fof(f420,plain,
( identity != inverse(inverse(identity))
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_14 ),
inference(trivial_inequality_removal,[],[f416]) ).
fof(f416,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_14 ),
inference(superposition,[],[f398,f2]) ).
fof(f398,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_14 ),
inference(forward_demodulation,[],[f397,f338]) ).
fof(f397,plain,
( ! [X7] :
( sk_c9 != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_14 ),
inference(forward_demodulation,[],[f396,f344]) ).
fof(f396,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| identity != inverse(X7) )
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12
| ~ spl13_14 ),
inference(forward_demodulation,[],[f192,f344]) ).
fof(f387,plain,
( ~ spl13_2
| ~ spl13_4
| spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12 ),
inference(avatar_contradiction_clause,[],[f386]) ).
fof(f386,plain,
( $false
| ~ spl13_2
| ~ spl13_4
| spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12 ),
inference(subsumption_resolution,[],[f385,f332]) ).
fof(f332,plain,
( identity != sF2
| ~ spl13_2
| ~ spl13_4
| spl13_5
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12 ),
inference(backward_demodulation,[],[f124,f331]) ).
fof(f124,plain,
( sk_c7 != sF2
| spl13_5 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f385,plain,
( identity = sF2
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12 ),
inference(forward_demodulation,[],[f384,f353]) ).
fof(f384,plain,
( sF2 = inverse(identity)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12 ),
inference(forward_demodulation,[],[f315,f331]) ).
fof(f315,plain,
( sF2 = inverse(sk_c7)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_10
| ~ spl13_12 ),
inference(backward_demodulation,[],[f277,f303]) ).
fof(f213,plain,
( spl13_1
| spl13_12 ),
inference(avatar_split_clause,[],[f73,f158,f105]) ).
fof(f73,plain,
( sk_c2 = sF9
| sk_c8 = sF4 ),
inference(definition_folding,[],[f20,f62,f54]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c2 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f212,plain,
( spl13_2
| spl13_5 ),
inference(avatar_split_clause,[],[f53,f123,f109]) ).
fof(f53,plain,
( sk_c7 = sF2
| sk_c9 = sF3 ),
inference(definition_folding,[],[f25,f52,f51]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f211,plain,
( spl13_13
| spl13_6 ),
inference(avatar_split_clause,[],[f74,f128,f165]) ).
fof(f74,plain,
( sk_c8 = sF6
| sk_c9 = sF0 ),
inference(definition_folding,[],[f7,f57,f48]) ).
fof(f7,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f210,plain,
( spl13_3
| spl13_6 ),
inference(avatar_split_clause,[],[f79,f128,f114]) ).
fof(f79,plain,
( sk_c8 = sF6
| sk_c8 = sF10 ),
inference(definition_folding,[],[f8,f64,f57]) ).
fof(f8,axiom,
( multiply(sk_c7,sk_c9) = sk_c8
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f209,plain,
( spl13_4
| spl13_8 ),
inference(avatar_split_clause,[],[f97,f138,f119]) ).
fof(f97,plain,
( sk_c7 = sF12
| sk_c8 = sF1 ),
inference(definition_folding,[],[f12,f84,f49]) ).
fof(f12,axiom,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f208,plain,
( spl13_2
| spl13_11 ),
inference(avatar_split_clause,[],[f66,f153,f109]) ).
fof(f66,plain,
( sk_c9 = sF8
| sk_c9 = sF3 ),
inference(definition_folding,[],[f31,f61,f52]) ).
fof(f31,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f207,plain,
( spl13_11
| spl13_6 ),
inference(avatar_split_clause,[],[f70,f128,f153]) ).
fof(f70,plain,
( sk_c8 = sF6
| sk_c9 = sF8 ),
inference(definition_folding,[],[f10,f57,f61]) ).
fof(f10,axiom,
( sk_c9 = inverse(sk_c6)
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f206,plain,
( spl13_2
| spl13_9 ),
inference(avatar_split_clause,[],[f82,f144,f109]) ).
fof(f82,plain,
( sk_c7 = sF7
| sk_c9 = sF3 ),
inference(definition_folding,[],[f30,f59,f52]) ).
fof(f30,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f205,plain,
( ~ spl13_6
| ~ spl13_5
| spl13_14
| spl13_15
| spl13_16
| spl13_17
| spl13_18 ),
inference(avatar_split_clause,[],[f89,f203,f200,f197,f194,f191,f123,f128]) ).
fof(f89,plain,
! [X8,X6,X7,X4,X5] :
( sk_c9 != multiply(X5,sk_c7)
| sk_c7 != multiply(X8,sk_c9)
| sk_c9 != inverse(X4)
| sk_c7 != multiply(X6,sk_c8)
| sk_c8 != inverse(X7)
| sk_c8 != multiply(sk_c9,multiply(X4,sk_c9))
| sk_c7 != inverse(X5)
| sk_c7 != sF2
| sk_c9 != inverse(X8)
| sk_c8 != sF6
| sk_c8 != inverse(X6)
| sk_c9 != multiply(X7,sk_c8) ),
inference(definition_folding,[],[f47,f51,f57]) ).
fof(f47,plain,
! [X8,X6,X7,X4,X5] :
( sk_c9 != inverse(X8)
| multiply(sk_c7,sk_c9) != sk_c8
| sk_c7 != multiply(X6,sk_c8)
| sk_c7 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X4,sk_c9))
| sk_c7 != inverse(sk_c8)
| sk_c9 != multiply(X5,sk_c7)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X8,sk_c9)
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X4) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c9 != inverse(X8)
| multiply(sk_c7,sk_c9) != sk_c8
| sk_c7 != multiply(X6,sk_c8)
| multiply(X4,sk_c9) != X3
| sk_c7 != inverse(X5)
| sk_c8 != multiply(sk_c9,X3)
| sk_c7 != inverse(sk_c8)
| sk_c9 != multiply(X5,sk_c7)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X8,sk_c9)
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f189,plain,
( spl13_9
| spl13_12 ),
inference(avatar_split_clause,[],[f68,f158,f144]) ).
fof(f68,plain,
( sk_c2 = sF9
| sk_c7 = sF7 ),
inference(definition_folding,[],[f23,f59,f62]) ).
fof(f23,axiom,
( sk_c2 = multiply(sk_c1,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f188,plain,
( spl13_13
| spl13_10 ),
inference(avatar_split_clause,[],[f80,f149,f165]) ).
fof(f80,plain,
( sk_c9 = sF11
| sk_c9 = sF0 ),
inference(definition_folding,[],[f35,f76,f48]) ).
fof(f35,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f187,plain,
( spl13_8
| spl13_6 ),
inference(avatar_split_clause,[],[f93,f128,f138]) ).
fof(f93,plain,
( sk_c8 = sF6
| sk_c7 = sF12 ),
inference(definition_folding,[],[f5,f84,f57]) ).
fof(f5,axiom,
( multiply(sk_c7,sk_c9) = sk_c8
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f186,plain,
( spl13_12
| spl13_8 ),
inference(avatar_split_clause,[],[f96,f138,f158]) ).
fof(f96,plain,
( sk_c7 = sF12
| sk_c2 = sF9 ),
inference(definition_folding,[],[f19,f62,f84]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c2 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f185,plain,
( spl13_9
| spl13_6 ),
inference(avatar_split_clause,[],[f71,f128,f144]) ).
fof(f71,plain,
( sk_c8 = sF6
| sk_c7 = sF7 ),
inference(definition_folding,[],[f9,f57,f59]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f184,plain,
( spl13_10
| spl13_3 ),
inference(avatar_split_clause,[],[f95,f114,f149]) ).
fof(f95,plain,
( sk_c8 = sF10
| sk_c9 = sF11 ),
inference(definition_folding,[],[f36,f64,f76]) ).
fof(f36,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f183,plain,
( spl13_11
| spl13_7 ),
inference(avatar_split_clause,[],[f92,f134,f153]) ).
fof(f92,plain,
( sk_c7 = sF5
| sk_c9 = sF8 ),
inference(definition_folding,[],[f45,f55,f61]) ).
fof(f45,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f182,plain,
( spl13_8
| spl13_10 ),
inference(avatar_split_clause,[],[f90,f149,f138]) ).
fof(f90,plain,
( sk_c9 = sF11
| sk_c7 = sF12 ),
inference(definition_folding,[],[f33,f76,f84]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c9 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f181,plain,
( spl13_12
| spl13_11 ),
inference(avatar_split_clause,[],[f63,f153,f158]) ).
fof(f63,plain,
( sk_c9 = sF8
| sk_c2 = sF9 ),
inference(definition_folding,[],[f24,f62,f61]) ).
fof(f24,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c2 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f180,plain,
( spl13_3
| spl13_4 ),
inference(avatar_split_clause,[],[f99,f119,f114]) ).
fof(f99,plain,
( sk_c8 = sF1
| sk_c8 = sF10 ),
inference(definition_folding,[],[f15,f64,f49]) ).
fof(f15,axiom,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f179,plain,
( spl13_13
| spl13_12 ),
inference(avatar_split_clause,[],[f88,f158,f165]) ).
fof(f88,plain,
( sk_c2 = sF9
| sk_c9 = sF0 ),
inference(definition_folding,[],[f21,f48,f62]) ).
fof(f21,axiom,
( sk_c2 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f178,plain,
( spl13_1
| spl13_10 ),
inference(avatar_split_clause,[],[f87,f149,f105]) ).
fof(f87,plain,
( sk_c9 = sF11
| sk_c8 = sF4 ),
inference(definition_folding,[],[f34,f54,f76]) ).
fof(f34,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f177,plain,
( spl13_7
| spl13_3 ),
inference(avatar_split_clause,[],[f91,f114,f134]) ).
fof(f91,plain,
( sk_c8 = sF10
| sk_c7 = sF5 ),
inference(definition_folding,[],[f43,f64,f55]) ).
fof(f43,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f176,plain,
( spl13_4
| spl13_13 ),
inference(avatar_split_clause,[],[f50,f165,f119]) ).
fof(f50,plain,
( sk_c9 = sF0
| sk_c8 = sF1 ),
inference(definition_folding,[],[f14,f49,f48]) ).
fof(f14,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f175,plain,
( spl13_10
| spl13_9 ),
inference(avatar_split_clause,[],[f77,f144,f149]) ).
fof(f77,plain,
( sk_c7 = sF7
| sk_c9 = sF11 ),
inference(definition_folding,[],[f37,f76,f59]) ).
fof(f37,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f174,plain,
( spl13_5
| spl13_6 ),
inference(avatar_split_clause,[],[f58,f128,f123]) ).
fof(f58,plain,
( sk_c8 = sF6
| sk_c7 = sF2 ),
inference(definition_folding,[],[f4,f51,f57]) ).
fof(f4,axiom,
( multiply(sk_c7,sk_c9) = sk_c8
| sk_c7 = inverse(sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f173,plain,
( spl13_1
| spl13_7 ),
inference(avatar_split_clause,[],[f56,f134,f105]) ).
fof(f56,plain,
( sk_c7 = sF5
| sk_c8 = sF4 ),
inference(definition_folding,[],[f41,f55,f54]) ).
fof(f41,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f172,plain,
( spl13_10
| spl13_5 ),
inference(avatar_split_clause,[],[f78,f123,f149]) ).
fof(f78,plain,
( sk_c7 = sF2
| sk_c9 = sF11 ),
inference(definition_folding,[],[f32,f51,f76]) ).
fof(f32,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c7 = inverse(sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f171,plain,
( spl13_7
| spl13_9 ),
inference(avatar_split_clause,[],[f102,f144,f134]) ).
fof(f102,plain,
( sk_c7 = sF7
| sk_c7 = sF5 ),
inference(definition_folding,[],[f44,f59,f55]) ).
fof(f44,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f170,plain,
( spl13_7
| spl13_13 ),
inference(avatar_split_clause,[],[f75,f165,f134]) ).
fof(f75,plain,
( sk_c9 = sF0
| sk_c7 = sF5 ),
inference(definition_folding,[],[f42,f48,f55]) ).
fof(f42,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f169,plain,
( spl13_4
| spl13_11 ),
inference(avatar_split_clause,[],[f100,f153,f119]) ).
fof(f100,plain,
( sk_c9 = sF8
| sk_c8 = sF1 ),
inference(definition_folding,[],[f17,f61,f49]) ).
fof(f17,axiom,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f168,plain,
( spl13_13
| spl13_2 ),
inference(avatar_split_clause,[],[f72,f109,f165]) ).
fof(f72,plain,
( sk_c9 = sF3
| sk_c9 = sF0 ),
inference(definition_folding,[],[f28,f48,f52]) ).
fof(f28,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f163,plain,
( spl13_5
| spl13_7 ),
inference(avatar_split_clause,[],[f101,f134,f123]) ).
fof(f101,plain,
( sk_c7 = sF5
| sk_c7 = sF2 ),
inference(definition_folding,[],[f39,f55,f51]) ).
fof(f39,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f162,plain,
( spl13_5
| spl13_12 ),
inference(avatar_split_clause,[],[f98,f158,f123]) ).
fof(f98,plain,
( sk_c2 = sF9
| sk_c7 = sF2 ),
inference(definition_folding,[],[f18,f62,f51]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c2 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f161,plain,
( spl13_3
| spl13_12 ),
inference(avatar_split_clause,[],[f103,f158,f114]) ).
fof(f103,plain,
( sk_c2 = sF9
| sk_c8 = sF10 ),
inference(definition_folding,[],[f22,f62,f64]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c2 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f156,plain,
( spl13_10
| spl13_11 ),
inference(avatar_split_clause,[],[f94,f153,f149]) ).
fof(f94,plain,
( sk_c9 = sF8
| sk_c9 = sF11 ),
inference(definition_folding,[],[f38,f61,f76]) ).
fof(f38,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f147,plain,
( spl13_9
| spl13_4 ),
inference(avatar_split_clause,[],[f60,f119,f144]) ).
fof(f60,plain,
( sk_c8 = sF1
| sk_c7 = sF7 ),
inference(definition_folding,[],[f16,f49,f59]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f142,plain,
( spl13_2
| spl13_8 ),
inference(avatar_split_clause,[],[f86,f138,f109]) ).
fof(f86,plain,
( sk_c7 = sF12
| sk_c9 = sF3 ),
inference(definition_folding,[],[f26,f52,f84]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f141,plain,
( spl13_7
| spl13_8 ),
inference(avatar_split_clause,[],[f85,f138,f134]) ).
fof(f85,plain,
( sk_c7 = sF12
| sk_c7 = sF5 ),
inference(definition_folding,[],[f40,f55,f84]) ).
fof(f40,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f132,plain,
( spl13_4
| spl13_1 ),
inference(avatar_split_clause,[],[f83,f105,f119]) ).
fof(f83,plain,
( sk_c8 = sF4
| sk_c8 = sF1 ),
inference(definition_folding,[],[f13,f54,f49]) ).
fof(f13,axiom,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f131,plain,
( spl13_6
| spl13_1 ),
inference(avatar_split_clause,[],[f67,f105,f128]) ).
fof(f67,plain,
( sk_c8 = sF4
| sk_c8 = sF6 ),
inference(definition_folding,[],[f6,f57,f54]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f126,plain,
( spl13_4
| spl13_5 ),
inference(avatar_split_clause,[],[f81,f123,f119]) ).
fof(f81,plain,
( sk_c7 = sF2
| sk_c8 = sF1 ),
inference(definition_folding,[],[f11,f49,f51]) ).
fof(f11,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c8 = multiply(sk_c9,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f117,plain,
( spl13_3
| spl13_2 ),
inference(avatar_split_clause,[],[f65,f109,f114]) ).
fof(f65,plain,
( sk_c9 = sF3
| sk_c8 = sF10 ),
inference(definition_folding,[],[f29,f52,f64]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f112,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f69,f109,f105]) ).
fof(f69,plain,
( sk_c9 = sF3
| sk_c8 = sF4 ),
inference(definition_folding,[],[f27,f52,f54]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP369-1 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35 % Computer : n014.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 : Mon Aug 29 22:27:33 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.50 % (17984)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51 % (17996)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.51 % (17983)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.51 % (17977)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.52 % (17984)Instruction limit reached!
% 0.21/0.52 % (17984)------------------------------
% 0.21/0.52 % (17984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (17984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (17984)Termination reason: Unknown
% 0.21/0.52 % (17984)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (17984)Memory used [KB]: 5884
% 0.21/0.52 % (17984)Time elapsed: 0.003 s
% 0.21/0.52 % (17984)Instructions burned: 3 (million)
% 0.21/0.52 % (17984)------------------------------
% 0.21/0.52 % (17984)------------------------------
% 0.21/0.52 % (17985)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.52 % (17976)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.53 % (18001)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.21/0.53 % (17970)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.53 % (17971)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.53 % (17983)Instruction limit reached!
% 0.21/0.53 % (17983)------------------------------
% 0.21/0.53 % (17983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (17983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (17983)Termination reason: Unknown
% 0.21/0.53 % (17983)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (17983)Memory used [KB]: 5884
% 0.21/0.53 % (17983)Time elapsed: 0.126 s
% 0.21/0.53 % (17983)Instructions burned: 5 (million)
% 0.21/0.53 % (17983)------------------------------
% 0.21/0.53 % (17983)------------------------------
% 0.21/0.53 % (17974)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.53 % (17978)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (17991)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (17982)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.21/0.54 % (17986)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.54 % (17994)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.21/0.54 % (17986)Instruction limit reached!
% 0.21/0.54 % (17986)------------------------------
% 0.21/0.54 % (17986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (17986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (17986)Termination reason: Unknown
% 0.21/0.54 % (17986)Termination phase: Finite model building preprocessing
% 0.21/0.54
% 0.21/0.54 % (17986)Memory used [KB]: 6012
% 0.21/0.54 % (17986)Time elapsed: 0.004 s
% 0.21/0.54 % (17986)Instructions burned: 8 (million)
% 0.21/0.54 % (17986)------------------------------
% 0.21/0.54 % (17986)------------------------------
% 0.21/0.54 % (17991)Instruction limit reached!
% 0.21/0.54 % (17991)------------------------------
% 0.21/0.54 % (17991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (17981)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.54 % (17975)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.54 % (17997)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.54 % (17999)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.21/0.54 % (17991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (17991)Termination reason: Unknown
% 0.21/0.54 % (17991)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (17991)Memory used [KB]: 6012
% 0.21/0.54 % (17991)Time elapsed: 0.141 s
% 0.21/0.54 % (17991)Instructions burned: 7 (million)
% 0.21/0.54 % (17991)------------------------------
% 0.21/0.54 % (17991)------------------------------
% 0.21/0.54 % (17973)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.54 % (17975)Refutation not found, incomplete strategy% (17975)------------------------------
% 0.21/0.54 % (17975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (17975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (17975)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (17975)Memory used [KB]: 5884
% 0.21/0.54 % (17975)Time elapsed: 0.134 s
% 0.21/0.54 % (17975)Instructions burned: 5 (million)
% 0.21/0.54 % (17975)------------------------------
% 0.21/0.54 % (17975)------------------------------
% 0.21/0.54 % (17997)Refutation not found, incomplete strategy% (17997)------------------------------
% 0.21/0.54 % (17997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (17997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (17997)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (17997)Memory used [KB]: 5884
% 0.21/0.54 % (17997)Time elapsed: 0.096 s
% 0.21/0.54 % (17997)Instructions burned: 5 (million)
% 0.21/0.54 % (17997)------------------------------
% 0.21/0.54 % (17997)------------------------------
% 0.21/0.55 % (17973)Instruction limit reached!
% 0.21/0.55 % (17973)------------------------------
% 0.21/0.55 % (17973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (17973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (17973)Termination reason: Unknown
% 0.21/0.55 % (17973)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (17973)Memory used [KB]: 5884
% 0.21/0.55 % (17973)Time elapsed: 0.142 s
% 0.21/0.55 % (17973)Instructions burned: 5 (million)
% 0.21/0.55 % (17973)------------------------------
% 0.21/0.55 % (17973)------------------------------
% 0.21/0.55 % (17989)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.55 % (18002)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.55 % (18000)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.55 % (17976)Instruction limit reached!
% 0.21/0.55 % (17976)------------------------------
% 0.21/0.55 % (17976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (17976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (17976)Termination reason: Unknown
% 0.21/0.55 % (17976)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (17976)Memory used [KB]: 6140
% 0.21/0.55 % (17976)Time elapsed: 0.142 s
% 0.21/0.55 % (17976)Instructions burned: 25 (million)
% 0.21/0.55 % (17976)------------------------------
% 0.21/0.55 % (17976)------------------------------
% 0.21/0.55 % (17998)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.21/0.55 % (17990)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.55 % (17993)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.55 % (17978)Refutation not found, incomplete strategy% (17978)------------------------------
% 0.21/0.55 % (17978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (18003)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.56 % (17987)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56 % (17982)Instruction limit reached!
% 0.21/0.56 % (17982)------------------------------
% 0.21/0.56 % (17982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (17982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (17982)Termination reason: Unknown
% 0.21/0.56 % (17982)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (17982)Memory used [KB]: 6268
% 0.21/0.56 % (17982)Time elapsed: 0.156 s
% 0.21/0.56 % (17982)Instructions burned: 23 (million)
% 0.21/0.56 % (17982)------------------------------
% 0.21/0.56 % (17982)------------------------------
% 0.21/0.56 % (17987)Instruction limit reached!
% 0.21/0.56 % (17987)------------------------------
% 0.21/0.56 % (17987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (17987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (17987)Termination reason: Unknown
% 0.21/0.56 % (17987)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (17987)Memory used [KB]: 5884
% 0.21/0.56 % (17987)Time elapsed: 0.004 s
% 0.21/0.56 % (17993)Instruction limit reached!
% 0.21/0.56 % (17993)------------------------------
% 0.21/0.56 % (17993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (17987)Instructions burned: 3 (million)
% 0.21/0.56 % (17987)------------------------------
% 0.21/0.56 % (17987)------------------------------
% 0.21/0.56 % (17993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (17993)Termination reason: Unknown
% 0.21/0.56 % (17993)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (17993)Memory used [KB]: 1407
% 0.21/0.56 % (17993)Time elapsed: 0.005 s
% 0.21/0.56 % (17993)Instructions burned: 7 (million)
% 0.21/0.56 % (17993)------------------------------
% 0.21/0.56 % (17993)------------------------------
% 0.21/0.56 % (17979)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.56 % (17980)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.56 % (17978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (17978)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (17978)Memory used [KB]: 5884
% 0.21/0.56 % (17978)Time elapsed: 0.113 s
% 0.21/0.56 % (17978)Instructions burned: 4 (million)
% 0.21/0.56 % (17978)------------------------------
% 0.21/0.56 % (17978)------------------------------
% 0.21/0.56 % (17979)Instruction limit reached!
% 0.21/0.56 % (17979)------------------------------
% 0.21/0.56 % (17979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (17979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (17979)Termination reason: Unknown
% 0.21/0.56 % (17979)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (17979)Memory used [KB]: 5884
% 0.21/0.56 % (17979)Time elapsed: 0.003 s
% 0.21/0.56 % (17979)Instructions burned: 4 (million)
% 0.21/0.56 % (17979)------------------------------
% 0.21/0.56 % (17979)------------------------------
% 0.21/0.56 % (18000)Refutation not found, incomplete strategy% (18000)------------------------------
% 0.21/0.56 % (18000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (18000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (18000)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (18000)Memory used [KB]: 5884
% 0.21/0.56 % (18000)Time elapsed: 0.157 s
% 0.21/0.56 % (18000)Instructions burned: 4 (million)
% 0.21/0.56 % (18000)------------------------------
% 0.21/0.56 % (18000)------------------------------
% 0.21/0.56 % (17989)Instruction limit reached!
% 0.21/0.56 % (17989)------------------------------
% 0.21/0.56 % (17989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (17989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (17989)Termination reason: Unknown
% 0.21/0.56 % (17989)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (17989)Memory used [KB]: 6012
% 0.21/0.56 % (17989)Time elapsed: 0.152 s
% 0.21/0.56 % (17989)Instructions burned: 9 (million)
% 0.21/0.56 % (17989)------------------------------
% 0.21/0.56 % (17989)------------------------------
% 1.64/0.57 % (17977)Instruction limit reached!
% 1.64/0.57 % (17977)------------------------------
% 1.64/0.57 % (17977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.57 % (17985)Instruction limit reached!
% 1.64/0.57 % (17985)------------------------------
% 1.64/0.57 % (17985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.57 % (17985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.57 % (17985)Termination reason: Unknown
% 1.64/0.57 % (17985)Termination phase: Saturation
% 1.64/0.57
% 1.64/0.57 % (17985)Memory used [KB]: 1663
% 1.64/0.57 % (17985)Time elapsed: 0.151 s
% 1.64/0.57 % (17985)Instructions burned: 30 (million)
% 1.64/0.57 % (17985)------------------------------
% 1.64/0.57 % (17985)------------------------------
% 1.64/0.57 % (17977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.57 % (17977)Termination reason: Unknown
% 1.64/0.57 % (17977)Termination phase: Saturation
% 1.64/0.57
% 1.64/0.57 % (17977)Memory used [KB]: 1663
% 1.64/0.57 % (17977)Time elapsed: 0.147 s
% 1.64/0.57 % (17977)Instructions burned: 50 (million)
% 1.64/0.57 % (17977)------------------------------
% 1.64/0.57 % (17977)------------------------------
% 1.64/0.58 % (17981)Instruction limit reached!
% 1.64/0.58 % (17981)------------------------------
% 1.64/0.58 % (17981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.58 % (17981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.58 % (17981)Termination reason: Unknown
% 1.64/0.58 % (17981)Termination phase: Saturation
% 1.64/0.58
% 1.64/0.58 % (17981)Memory used [KB]: 5884
% 1.64/0.58 % (17981)Time elapsed: 0.175 s
% 1.64/0.58 % (17981)Instructions burned: 6 (million)
% 1.64/0.58 % (17981)------------------------------
% 1.64/0.58 % (17981)------------------------------
% 1.64/0.58 % (18002)Instruction limit reached!
% 1.64/0.58 % (18002)------------------------------
% 1.64/0.58 % (18002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.58 % (17974)Instruction limit reached!
% 1.64/0.58 % (17974)------------------------------
% 1.64/0.58 % (17974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.59 % (18002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.59 % (18002)Termination reason: Unknown
% 1.83/0.59 % (18002)Termination phase: Saturation
% 1.83/0.59
% 1.83/0.59 % (18002)Memory used [KB]: 6140
% 1.83/0.59 % (18002)Time elapsed: 0.180 s
% 1.83/0.59 % (18002)Instructions burned: 21 (million)
% 1.83/0.59 % (18002)------------------------------
% 1.83/0.59 % (18002)------------------------------
% 1.83/0.59 % (17990)Refutation not found, incomplete strategy% (17990)------------------------------
% 1.83/0.59 % (17990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.59 % (17990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.59 % (17990)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.59
% 1.83/0.59 % (17990)Memory used [KB]: 10618
% 1.83/0.59 % (17990)Time elapsed: 0.174 s
% 1.83/0.59 % (17990)Instructions burned: 20 (million)
% 1.83/0.59 % (17990)------------------------------
% 1.83/0.59 % (17990)------------------------------
% 1.83/0.60 % (17974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.60 % (17974)Termination reason: Unknown
% 1.83/0.60 % (17974)Termination phase: Saturation
% 1.83/0.60
% 1.83/0.60 % (17974)Memory used [KB]: 6268
% 1.83/0.60 % (17974)Time elapsed: 0.160 s
% 1.83/0.60 % (17974)Instructions burned: 43 (million)
% 1.83/0.60 % (17974)------------------------------
% 1.83/0.60 % (17974)------------------------------
% 1.83/0.60 % (17971)Instruction limit reached!
% 1.83/0.60 % (17971)------------------------------
% 1.83/0.60 % (17971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.60 % (17971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.60 % (17971)Termination reason: Unknown
% 1.83/0.60 % (17971)Termination phase: Saturation
% 1.83/0.60
% 1.83/0.60 % (17971)Memory used [KB]: 1663
% 1.83/0.60 % (17971)Time elapsed: 0.177 s
% 1.83/0.60 % (17971)Instructions burned: 44 (million)
% 1.83/0.60 % (17971)------------------------------
% 1.83/0.60 % (17971)------------------------------
% 1.83/0.61 % (18001)Instruction limit reached!
% 1.83/0.61 % (18001)------------------------------
% 1.83/0.61 % (18001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62 % (17998)Instruction limit reached!
% 1.83/0.62 % (17998)------------------------------
% 1.83/0.62 % (17998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62 % (17998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.62 % (17998)Termination reason: Unknown
% 1.83/0.62 % (17998)Termination phase: Saturation
% 1.83/0.62
% 1.83/0.62 % (17998)Memory used [KB]: 6780
% 1.83/0.62 % (17998)Time elapsed: 0.215 s
% 1.83/0.62 % (17998)Instructions burned: 46 (million)
% 1.83/0.62 % (17998)------------------------------
% 1.83/0.62 % (17998)------------------------------
% 1.83/0.62 % (18001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.62 % (18001)Termination reason: Unknown
% 1.83/0.62 % (18001)Termination phase: Saturation
% 1.83/0.62
% 1.83/0.62 % (18001)Memory used [KB]: 1918
% 1.83/0.62 % (18001)Time elapsed: 0.213 s
% 1.83/0.62 % (18001)Instructions burned: 74 (million)
% 1.83/0.62 % (18001)------------------------------
% 1.83/0.62 % (18001)------------------------------
% 2.07/0.63 % (18044)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/14Mi)
% 2.07/0.64 % (17994)Instruction limit reached!
% 2.07/0.64 % (17994)------------------------------
% 2.07/0.64 % (17994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.64 % (17994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.64 % (17994)Termination reason: Unknown
% 2.07/0.64 % (17994)Termination phase: Saturation
% 2.07/0.64
% 2.07/0.64 % (17994)Memory used [KB]: 7291
% 2.07/0.64 % (17994)Time elapsed: 0.220 s
% 2.07/0.64 % (17994)Instructions burned: 68 (million)
% 2.07/0.64 % (17994)------------------------------
% 2.07/0.64 % (17994)------------------------------
% 2.12/0.65 % (17980)Instruction limit reached!
% 2.12/0.65 % (17980)------------------------------
% 2.12/0.65 % (17980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.65 % (18049)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 2.12/0.65 % (17980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.65 % (17980)Termination reason: Unknown
% 2.12/0.65 % (17980)Termination phase: Saturation
% 2.12/0.65
% 2.12/0.65 % (17980)Memory used [KB]: 7036
% 2.12/0.65 % (17980)Time elapsed: 0.247 s
% 2.12/0.65 % (17980)Instructions burned: 52 (million)
% 2.12/0.65 % (17980)------------------------------
% 2.12/0.65 % (17980)------------------------------
% 2.12/0.65 % (18049)Instruction limit reached!
% 2.12/0.65 % (18049)------------------------------
% 2.12/0.65 % (18049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.66 % (18049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.66 % (18049)Termination reason: Unknown
% 2.12/0.66 % (18049)Termination phase: Saturation
% 2.12/0.66
% 2.12/0.66 % (18049)Memory used [KB]: 5756
% 2.12/0.66 % (18049)Time elapsed: 0.003 s
% 2.12/0.66 % (18049)Instructions burned: 3 (million)
% 2.12/0.66 % (18049)------------------------------
% 2.12/0.66 % (18049)------------------------------
% 2.12/0.66 % (18050)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 2.12/0.66 % (17970)First to succeed.
% 2.12/0.66 % (18044)Instruction limit reached!
% 2.12/0.66 % (18044)------------------------------
% 2.12/0.66 % (18044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.66 % (18044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.66 % (18044)Termination reason: Unknown
% 2.12/0.66 % (18044)Termination phase: Saturation
% 2.12/0.66
% 2.12/0.66 % (18044)Memory used [KB]: 6140
% 2.12/0.66 % (18044)Time elapsed: 0.081 s
% 2.12/0.66 % (18044)Instructions burned: 14 (million)
% 2.12/0.66 % (18044)------------------------------
% 2.12/0.66 % (18044)------------------------------
% 2.12/0.66 % (17996)Instruction limit reached!
% 2.12/0.66 % (17996)------------------------------
% 2.12/0.66 % (17996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.66 % (17996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.66 % (17996)Termination reason: Unknown
% 2.12/0.66 % (17996)Termination phase: Saturation
% 2.12/0.66
% 2.12/0.66 % (17996)Memory used [KB]: 6908
% 2.12/0.66 % (17996)Time elapsed: 0.248 s
% 2.12/0.66 % (17996)Instructions burned: 98 (million)
% 2.12/0.66 % (17996)------------------------------
% 2.12/0.66 % (17996)------------------------------
% 2.12/0.67 % (17970)Refutation found. Thanks to Tanya!
% 2.12/0.67 % SZS status Unsatisfiable for theBenchmark
% 2.12/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.12/0.67 % (17970)------------------------------
% 2.12/0.67 % (17970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.67 % (17970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.67 % (17970)Termination reason: Refutation
% 2.12/0.67
% 2.12/0.67 % (17970)Memory used [KB]: 6908
% 2.12/0.67 % (17970)Time elapsed: 0.231 s
% 2.12/0.67 % (17970)Instructions burned: 72 (million)
% 2.12/0.67 % (17970)------------------------------
% 2.12/0.67 % (17970)------------------------------
% 2.12/0.67 % (17965)Success in time 0.321 s
%------------------------------------------------------------------------------