TSTP Solution File: GRP273-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP273-1 : 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 : n012.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 16:15:08 EDT 2022
% Result : Unsatisfiable 2.08s 0.61s
% Output : Refutation 2.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 104
% Syntax : Number of formulae : 585 ( 44 unt; 0 def)
% Number of atoms : 2474 ( 685 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 3635 (1746 ~;1854 |; 0 &)
% ( 35 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 36 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 27 con; 0-2 aty)
% Number of variables : 137 ( 137 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2379,plain,
$false,
inference(avatar_sat_refutation,[],[f131,f140,f149,f158,f163,f172,f177,f182,f187,f188,f189,f190,f191,f192,f193,f194,f199,f200,f201,f202,f203,f204,f205,f218,f219,f220,f221,f222,f223,f224,f225,f226,f227,f228,f229,f230,f231,f232,f233,f234,f235,f236,f237,f238,f239,f240,f241,f242,f243,f244,f245,f271,f282,f291,f304,f322,f327,f483,f488,f491,f662,f723,f1069,f1100,f1104,f1160,f1393,f1400,f1404,f1498,f1633,f1685,f1700,f1704,f1720,f1726,f1829,f1909,f1931,f2003,f2006,f2043,f2073,f2098,f2107,f2158,f2171,f2338,f2364,f2378]) ).
fof(f2378,plain,
( ~ spl15_1
| spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_21
| ~ spl15_22
| ~ spl15_24 ),
inference(avatar_contradiction_clause,[],[f2377]) ).
fof(f2377,plain,
( $false
| ~ spl15_1
| spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_21
| ~ spl15_22
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f2376,f2045]) ).
fof(f2045,plain,
( identity = sk_c10
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_demodulation,[],[f2044,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f2044,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1101,f1955]) ).
fof(f1955,plain,
( sk_c11 = sk_c8
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(backward_demodulation,[],[f1259,f1954]) ).
fof(f1954,plain,
( ! [X12] : multiply(sk_c8,X12) = X12
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1952,f1734]) ).
fof(f1734,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_13 ),
inference(backward_demodulation,[],[f1340,f1733]) ).
fof(f1733,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13 ),
inference(forward_demodulation,[],[f1115,f1611]) ).
fof(f1611,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13 ),
inference(forward_demodulation,[],[f1601,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f1601,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(identity,X0))
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13 ),
inference(superposition,[],[f3,f1123]) ).
fof(f1123,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13 ),
inference(backward_demodulation,[],[f1119,f1105]) ).
fof(f1105,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl15_4 ),
inference(backward_demodulation,[],[f77,f139]) ).
fof(f139,plain,
( sk_c8 = sF12
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl15_4
<=> sk_c8 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f77,plain,
inverse(sk_c5) = sF12,
introduced(function_definition,[]) ).
fof(f1119,plain,
( sk_c7 = multiply(inverse(sk_c5),identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13 ),
inference(backward_demodulation,[],[f1081,f1110]) ).
fof(f1110,plain,
( sk_c5 = sk_c6
| ~ spl15_1
| ~ spl15_4 ),
inference(backward_demodulation,[],[f946,f1107]) ).
fof(f1107,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl15_4 ),
inference(backward_demodulation,[],[f380,f139]) ).
fof(f380,plain,
sk_c5 = multiply(inverse(sF12),identity),
inference(superposition,[],[f346,f254]) ).
fof(f254,plain,
identity = multiply(sF12,sk_c5),
inference(superposition,[],[f2,f77]) ).
fof(f346,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f329,f1]) ).
fof(f329,plain,
! [X2,X3] : multiply(identity,X3) = multiply(inverse(X2),multiply(X2,X3)),
inference(superposition,[],[f3,f2]) ).
fof(f946,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl15_1 ),
inference(forward_demodulation,[],[f384,f126]) ).
fof(f126,plain,
( sk_c8 = sF7
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl15_1
<=> sk_c8 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f384,plain,
sk_c6 = multiply(inverse(sF7),identity),
inference(superposition,[],[f346,f256]) ).
fof(f256,plain,
identity = multiply(sF7,sk_c6),
inference(superposition,[],[f2,f68]) ).
fof(f68,plain,
inverse(sk_c6) = sF7,
introduced(function_definition,[]) ).
fof(f1081,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl15_13 ),
inference(forward_demodulation,[],[f383,f181]) ).
fof(f181,plain,
( sk_c6 = sF3
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl15_13
<=> sk_c6 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f383,plain,
sk_c7 = multiply(inverse(sF3),identity),
inference(superposition,[],[f346,f255]) ).
fof(f255,plain,
identity = multiply(sF3,sk_c7),
inference(superposition,[],[f2,f61]) ).
fof(f61,plain,
inverse(sk_c7) = sF3,
introduced(function_definition,[]) ).
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(f1115,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13 ),
inference(backward_demodulation,[],[f1067,f1110]) ).
fof(f1067,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl15_13 ),
inference(backward_demodulation,[],[f353,f181]) ).
fof(f353,plain,
! [X0] : multiply(sF3,multiply(sk_c7,X0)) = X0,
inference(forward_demodulation,[],[f352,f1]) ).
fof(f352,plain,
! [X0] : multiply(identity,X0) = multiply(sF3,multiply(sk_c7,X0)),
inference(superposition,[],[f3,f255]) ).
fof(f1340,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c11,X0)
| ~ spl15_5 ),
inference(superposition,[],[f3,f1275]) ).
fof(f1275,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl15_5 ),
inference(forward_demodulation,[],[f96,f144]) ).
fof(f144,plain,
( sk_c11 = sF13
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl15_5
<=> sk_c11 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f96,plain,
multiply(sk_c5,sk_c8) = sF13,
introduced(function_definition,[]) ).
fof(f1952,plain,
( ! [X12] : multiply(sk_c8,multiply(sk_c11,X12)) = X12
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(backward_demodulation,[],[f1936,f285]) ).
fof(f285,plain,
( sk_c11 = sk_c10
| ~ spl15_24 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl15_24
<=> sk_c11 = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).
fof(f1936,plain,
( ! [X12] : multiply(sk_c8,multiply(sk_c10,X12)) = X12
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13 ),
inference(forward_demodulation,[],[f1935,f1734]) ).
fof(f1935,plain,
( ! [X12] : multiply(sk_c11,X12) = multiply(sk_c8,multiply(sk_c10,X12))
| ~ spl15_8 ),
inference(forward_demodulation,[],[f335,f157]) ).
fof(f157,plain,
( sk_c11 = sF11
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl15_8
<=> sk_c11 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f335,plain,
! [X12] : multiply(sF11,X12) = multiply(sk_c8,multiply(sk_c10,X12)),
inference(superposition,[],[f3,f75]) ).
fof(f75,plain,
multiply(sk_c8,sk_c10) = sF11,
introduced(function_definition,[]) ).
fof(f1259,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl15_4
| ~ spl15_5 ),
inference(backward_demodulation,[],[f1108,f144]) ).
fof(f1108,plain,
( sk_c8 = multiply(sk_c8,sF13)
| ~ spl15_4 ),
inference(backward_demodulation,[],[f387,f139]) ).
fof(f387,plain,
sk_c8 = multiply(sF12,sF13),
inference(forward_demodulation,[],[f382,f77]) ).
fof(f382,plain,
sk_c8 = multiply(inverse(sk_c5),sF13),
inference(superposition,[],[f346,f96]) ).
fof(f1101,plain,
( sk_c10 = multiply(inverse(sk_c8),sk_c11)
| ~ spl15_8 ),
inference(forward_demodulation,[],[f375,f157]) ).
fof(f375,plain,
sk_c10 = multiply(inverse(sk_c8),sF11),
inference(superposition,[],[f346,f75]) ).
fof(f2376,plain,
( identity != sk_c10
| ~ spl15_1
| spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_13
| ~ spl15_21
| ~ spl15_22 ),
inference(forward_demodulation,[],[f129,f2134]) ).
fof(f2134,plain,
( identity = sF5
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_13
| ~ spl15_21
| ~ spl15_22 ),
inference(backward_demodulation,[],[f2087,f269]) ).
fof(f269,plain,
( identity = sk_c11
| ~ spl15_21 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl15_21
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
fof(f2087,plain,
( sk_c11 = sF5
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_13
| ~ spl15_22 ),
inference(backward_demodulation,[],[f2066,f274]) ).
fof(f274,plain,
( sk_c11 = sk_c9
| ~ spl15_22 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f273,plain,
( spl15_22
<=> sk_c11 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).
fof(f2066,plain,
( sk_c9 = sF5
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_13 ),
inference(forward_demodulation,[],[f64,f1734]) ).
fof(f64,plain,
multiply(sk_c11,sk_c9) = sF5,
introduced(function_definition,[]) ).
fof(f129,plain,
( sk_c10 != sF5
| spl15_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl15_2
<=> sk_c10 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f2364,plain,
( ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_19
| ~ spl15_21
| ~ spl15_24 ),
inference(avatar_contradiction_clause,[],[f2363]) ).
fof(f2363,plain,
( $false
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_19
| ~ spl15_21
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f2362,f2071]) ).
fof(f2071,plain,
( identity = inverse(identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(backward_demodulation,[],[f2040,f2034]) ).
fof(f2034,plain,
( identity = sk_c7
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_demodulation,[],[f2033,f1734]) ).
fof(f2033,plain,
( sk_c7 = multiply(sk_c11,identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1123,f1955]) ).
fof(f2040,plain,
( identity = inverse(sk_c7)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1295,f1963]) ).
fof(f1963,plain,
( identity = sk_c5
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1960,f1814]) ).
fof(f1814,plain,
( ! [X0] : multiply(inverse(sk_c11),X0) = X0
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_13 ),
inference(superposition,[],[f346,f1734]) ).
fof(f1960,plain,
( sk_c5 = multiply(inverse(sk_c11),identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(backward_demodulation,[],[f1107,f1955]) ).
fof(f1295,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13 ),
inference(backward_demodulation,[],[f61,f1111]) ).
fof(f1111,plain,
( sk_c5 = sF3
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13 ),
inference(backward_demodulation,[],[f181,f1110]) ).
fof(f2362,plain,
( identity != inverse(identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_19
| ~ spl15_21
| ~ spl15_24 ),
inference(forward_demodulation,[],[f2353,f2071]) ).
fof(f2353,plain,
( identity != inverse(inverse(identity))
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_19
| ~ spl15_21
| ~ spl15_24 ),
inference(trivial_inequality_removal,[],[f2350]) ).
fof(f2350,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_19
| ~ spl15_21
| ~ spl15_24 ),
inference(superposition,[],[f2346,f2]) ).
fof(f2346,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_19
| ~ spl15_21
| ~ spl15_24 ),
inference(forward_demodulation,[],[f2345,f2045]) ).
fof(f2345,plain,
( ! [X3] :
( sk_c10 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl15_19
| ~ spl15_21 ),
inference(forward_demodulation,[],[f2344,f269]) ).
fof(f2344,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) )
| ~ spl15_19
| ~ spl15_21 ),
inference(forward_demodulation,[],[f217,f269]) ).
fof(f217,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) )
| ~ spl15_19 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f216,plain,
( spl15_19
<=> ! [X3] :
( sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f2338,plain,
( ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_18
| ~ spl15_21
| ~ spl15_24 ),
inference(avatar_contradiction_clause,[],[f2337]) ).
fof(f2337,plain,
( $false
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_18
| ~ spl15_21
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f2336,f2071]) ).
fof(f2336,plain,
( identity != inverse(identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_18
| ~ spl15_21
| ~ spl15_24 ),
inference(forward_demodulation,[],[f2335,f2071]) ).
fof(f2335,plain,
( identity != inverse(inverse(identity))
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_18
| ~ spl15_21
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f2320,f2071]) ).
fof(f2320,plain,
( identity != inverse(identity)
| identity != inverse(inverse(identity))
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_18
| ~ spl15_21
| ~ spl15_24 ),
inference(superposition,[],[f2305,f2]) ).
fof(f2305,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(multiply(X0,identity)) )
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_18
| ~ spl15_21
| ~ spl15_24 ),
inference(subsumption_resolution,[],[f2197,f1]) ).
fof(f2197,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| inverse(X0) != multiply(X0,identity)
| identity != inverse(multiply(X0,identity)) )
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_18
| ~ spl15_21
| ~ spl15_24 ),
inference(duplicate_literal_removal,[],[f2191]) ).
fof(f2191,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| identity != inverse(multiply(X0,identity))
| identity != multiply(identity,identity)
| inverse(X0) != multiply(X0,identity) )
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_18
| ~ spl15_21
| ~ spl15_24 ),
inference(superposition,[],[f2141,f2071]) ).
fof(f2141,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| identity != multiply(inverse(X7),identity)
| identity != multiply(X7,inverse(X7))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_18
| ~ spl15_21
| ~ spl15_24 ),
inference(forward_demodulation,[],[f2129,f269]) ).
fof(f2129,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != multiply(X7,inverse(X7))
| inverse(X9) != multiply(X9,inverse(X7))
| identity != multiply(inverse(X7),identity) )
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_18
| ~ spl15_21
| ~ spl15_24 ),
inference(backward_demodulation,[],[f2075,f269]) ).
fof(f2075,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),identity) )
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_18
| ~ spl15_24 ),
inference(forward_demodulation,[],[f214,f2045]) ).
fof(f214,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c11 != multiply(X7,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7))) )
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl15_18
<=> ! [X9,X7] :
( sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c11 != multiply(X7,inverse(X7))
| inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f2171,plain,
( ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_21
| ~ spl15_24
| spl15_59 ),
inference(avatar_contradiction_clause,[],[f2170]) ).
fof(f2170,plain,
( $false
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_21
| ~ spl15_24
| spl15_59 ),
inference(subsumption_resolution,[],[f2169,f2071]) ).
fof(f2169,plain,
( identity != inverse(identity)
| ~ spl15_21
| ~ spl15_24
| spl15_59 ),
inference(forward_demodulation,[],[f1951,f269]) ).
fof(f1951,plain,
( identity != inverse(sk_c11)
| ~ spl15_24
| spl15_59 ),
inference(backward_demodulation,[],[f1388,f285]) ).
fof(f1388,plain,
( identity != inverse(sk_c10)
| spl15_59 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f1386,plain,
( spl15_59
<=> identity = inverse(sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_59])]) ).
fof(f2158,plain,
( spl15_26
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24
| ~ spl15_30 ),
inference(avatar_split_clause,[],[f2078,f315,f284,f179,f155,f142,f137,f124,f297]) ).
fof(f297,plain,
( spl15_26
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).
fof(f315,plain,
( spl15_30
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).
fof(f2078,plain,
( identity = sk_c9
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24
| ~ spl15_30 ),
inference(forward_demodulation,[],[f316,f2045]) ).
fof(f316,plain,
( sk_c10 = sk_c9
| ~ spl15_30 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f2107,plain,
( spl15_21
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_15
| ~ spl15_24 ),
inference(avatar_split_clause,[],[f1968,f284,f196,f179,f155,f142,f137,f124,f268]) ).
fof(f196,plain,
( spl15_15
<=> sk_c6 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f1968,plain,
( identity = sk_c11
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_15
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1967,f1]) ).
fof(f1967,plain,
( sk_c11 = multiply(identity,identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_15
| ~ spl15_24 ),
inference(backward_demodulation,[],[f1961,f1963]) ).
fof(f1961,plain,
( sk_c11 = multiply(sk_c5,sk_c5)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_15
| ~ spl15_24 ),
inference(backward_demodulation,[],[f1120,f1955]) ).
fof(f1120,plain,
( sk_c8 = multiply(sk_c5,sk_c5)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| ~ spl15_15 ),
inference(backward_demodulation,[],[f1082,f1110]) ).
fof(f1082,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl15_13
| ~ spl15_15 ),
inference(forward_demodulation,[],[f935,f181]) ).
fof(f935,plain,
( sk_c8 = multiply(sF3,sk_c6)
| ~ spl15_15 ),
inference(backward_demodulation,[],[f390,f198]) ).
fof(f198,plain,
( sk_c6 = sF8
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f390,plain,
sk_c8 = multiply(sF3,sF8),
inference(forward_demodulation,[],[f381,f61]) ).
fof(f381,plain,
sk_c8 = multiply(inverse(sk_c7),sF8),
inference(superposition,[],[f346,f70]) ).
fof(f70,plain,
multiply(sk_c7,sk_c8) = sF8,
introduced(function_definition,[]) ).
fof(f2098,plain,
( ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24
| spl15_33
| ~ spl15_62 ),
inference(avatar_contradiction_clause,[],[f2097]) ).
fof(f2097,plain,
( $false
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24
| spl15_33
| ~ spl15_62 ),
inference(subsumption_resolution,[],[f2096,f480]) ).
fof(f480,plain,
( identity != inverse(sk_c11)
| spl15_33 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f478,plain,
( spl15_33
<=> identity = inverse(sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).
fof(f2096,plain,
( identity = inverse(sk_c11)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24
| ~ spl15_62 ),
inference(forward_demodulation,[],[f1608,f1955]) ).
fof(f1608,plain,
( identity = inverse(sk_c8)
| ~ spl15_62 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f1607,plain,
( spl15_62
<=> identity = inverse(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_62])]) ).
fof(f2073,plain,
( spl15_21
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(avatar_split_clause,[],[f2072,f284,f179,f155,f142,f137,f124,f268]) ).
fof(f2072,plain,
( identity = sk_c11
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(backward_demodulation,[],[f1966,f2071]) ).
fof(f1966,plain,
( sk_c11 = inverse(identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(backward_demodulation,[],[f1959,f1963]) ).
fof(f1959,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(backward_demodulation,[],[f1105,f1955]) ).
fof(f2043,plain,
( ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24
| spl15_39 ),
inference(avatar_contradiction_clause,[],[f2042]) ).
fof(f2042,plain,
( $false
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24
| spl15_39 ),
inference(subsumption_resolution,[],[f2041,f1734]) ).
fof(f2041,plain,
( identity != multiply(sk_c11,identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24
| spl15_39 ),
inference(forward_demodulation,[],[f1270,f1955]) ).
fof(f1270,plain,
( identity != multiply(sk_c8,identity)
| ~ spl15_4
| spl15_39 ),
inference(backward_demodulation,[],[f560,f139]) ).
fof(f560,plain,
( identity != multiply(sF12,identity)
| spl15_39 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f558,plain,
( spl15_39
<=> identity = multiply(sF12,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_39])]) ).
fof(f2006,plain,
( ~ spl15_22
| ~ spl15_24
| spl15_30 ),
inference(avatar_split_clause,[],[f2005,f315,f284,f273]) ).
fof(f2005,plain,
( sk_c11 != sk_c9
| ~ spl15_24
| spl15_30 ),
inference(forward_demodulation,[],[f317,f285]) ).
fof(f317,plain,
( sk_c10 != sk_c9
| spl15_30 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f2003,plain,
( spl15_22
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_24 ),
inference(avatar_split_clause,[],[f2002,f284,f184,f179,f160,f142,f137,f124,f273]) ).
fof(f160,plain,
( spl15_9
<=> sk_c9 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f184,plain,
( spl15_14
<=> sk_c10 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f2002,plain,
( sk_c11 = sk_c9
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_24 ),
inference(forward_demodulation,[],[f2001,f1]) ).
fof(f2001,plain,
( sk_c9 = multiply(identity,sk_c11)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_9
| ~ spl15_13
| ~ spl15_14
| ~ spl15_24 ),
inference(forward_demodulation,[],[f2000,f1978]) ).
fof(f1978,plain,
( identity = sk_c4
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_13
| ~ spl15_14
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1945,f1814]) ).
fof(f1945,plain,
( sk_c4 = multiply(inverse(sk_c11),identity)
| ~ spl15_14
| ~ spl15_24 ),
inference(backward_demodulation,[],[f1095,f285]) ).
fof(f1095,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f377,f186]) ).
fof(f186,plain,
( sk_c10 = sF4
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f377,plain,
sk_c4 = multiply(inverse(sF4),identity),
inference(superposition,[],[f346,f253]) ).
fof(f253,plain,
identity = multiply(sF4,sk_c4),
inference(superposition,[],[f2,f63]) ).
fof(f63,plain,
inverse(sk_c4) = sF4,
introduced(function_definition,[]) ).
fof(f2000,plain,
( sk_c9 = multiply(sk_c4,sk_c11)
| ~ spl15_9
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1999,f285]) ).
fof(f1999,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl15_9 ),
inference(forward_demodulation,[],[f66,f162]) ).
fof(f162,plain,
( sk_c9 = sF6
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f66,plain,
multiply(sk_c4,sk_c10) = sF6,
introduced(function_definition,[]) ).
fof(f1931,plain,
( ~ spl15_10
| spl15_24
| ~ spl15_57 ),
inference(avatar_contradiction_clause,[],[f1930]) ).
fof(f1930,plain,
( $false
| ~ spl15_10
| spl15_24
| ~ spl15_57 ),
inference(subsumption_resolution,[],[f1929,f286]) ).
fof(f286,plain,
( sk_c11 != sk_c10
| spl15_24 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f1929,plain,
( sk_c11 = sk_c10
| ~ spl15_10
| ~ spl15_57 ),
inference(forward_demodulation,[],[f1831,f1]) ).
fof(f1831,plain,
( sk_c10 = multiply(identity,sk_c11)
| ~ spl15_10
| ~ spl15_57 ),
inference(backward_demodulation,[],[f1258,f711]) ).
fof(f711,plain,
( identity = sk_c3
| ~ spl15_57 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f710,plain,
( spl15_57
<=> identity = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_57])]) ).
fof(f1258,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl15_10 ),
inference(forward_demodulation,[],[f57,f167]) ).
fof(f167,plain,
( sk_c10 = sF0
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl15_10
<=> sk_c10 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f57,plain,
multiply(sk_c3,sk_c11) = sF0,
introduced(function_definition,[]) ).
fof(f1909,plain,
( ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_15
| ~ spl15_57
| spl15_62 ),
inference(avatar_contradiction_clause,[],[f1908]) ).
fof(f1908,plain,
( $false
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_15
| ~ spl15_57
| spl15_62 ),
inference(subsumption_resolution,[],[f1907,f1894]) ).
fof(f1894,plain,
( identity = inverse(identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_15
| ~ spl15_57 ),
inference(backward_demodulation,[],[f1863,f1882]) ).
fof(f1882,plain,
( identity = sk_c5
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_15
| ~ spl15_57 ),
inference(forward_demodulation,[],[f1881,f1848]) ).
fof(f1848,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_57 ),
inference(backward_demodulation,[],[f1733,f1839]) ).
fof(f1839,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_57 ),
inference(backward_demodulation,[],[f1742,f1835]) ).
fof(f1835,plain,
( ! [X10] : multiply(sk_c1,X10) = X10
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_57 ),
inference(forward_demodulation,[],[f1834,f1]) ).
fof(f1834,plain,
( ! [X10] : multiply(identity,X10) = multiply(sk_c1,X10)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_57 ),
inference(backward_demodulation,[],[f1740,f711]) ).
fof(f1740,plain,
( ! [X10] : multiply(sk_c3,X10) = multiply(sk_c1,X10)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13 ),
inference(backward_demodulation,[],[f1736,f1737]) ).
fof(f1737,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c10,X0)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_11
| ~ spl15_13 ),
inference(backward_demodulation,[],[f1535,f1734]) ).
fof(f1535,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl15_11 ),
inference(superposition,[],[f3,f250]) ).
fof(f250,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl15_11 ),
inference(backward_demodulation,[],[f58,f171]) ).
fof(f171,plain,
( sk_c10 = sF1
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl15_11
<=> sk_c10 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f58,plain,
multiply(sk_c1,sk_c11) = sF1,
introduced(function_definition,[]) ).
fof(f1736,plain,
( ! [X10] : multiply(sk_c10,X10) = multiply(sk_c3,X10)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_10
| ~ spl15_13 ),
inference(backward_demodulation,[],[f1276,f1734]) ).
fof(f1276,plain,
( ! [X10] : multiply(sk_c10,X10) = multiply(sk_c3,multiply(sk_c11,X10))
| ~ spl15_10 ),
inference(forward_demodulation,[],[f333,f167]) ).
fof(f333,plain,
! [X10] : multiply(sF0,X10) = multiply(sk_c3,multiply(sk_c11,X10)),
inference(superposition,[],[f3,f57]) ).
fof(f1742,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f1735,f1737]) ).
fof(f1735,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c10,X0)) = X0
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13 ),
inference(backward_demodulation,[],[f1546,f1734]) ).
fof(f1546,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,multiply(sk_c10,X0))
| ~ spl15_8 ),
inference(superposition,[],[f3,f1070]) ).
fof(f1070,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl15_8 ),
inference(forward_demodulation,[],[f75,f157]) ).
fof(f1881,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_15
| ~ spl15_57 ),
inference(forward_demodulation,[],[f1864,f1863]) ).
fof(f1864,plain,
( sk_c5 = multiply(inverse(sk_c5),identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_15
| ~ spl15_57 ),
inference(backward_demodulation,[],[f1107,f1858]) ).
fof(f1858,plain,
( sk_c5 = sk_c8
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_15
| ~ spl15_57 ),
inference(backward_demodulation,[],[f1120,f1848]) ).
fof(f1863,plain,
( sk_c5 = inverse(sk_c5)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_15
| ~ spl15_57 ),
inference(backward_demodulation,[],[f1105,f1858]) ).
fof(f1907,plain,
( identity != inverse(identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_15
| ~ spl15_57
| spl15_62 ),
inference(forward_demodulation,[],[f1872,f1882]) ).
fof(f1872,plain,
( identity != inverse(sk_c5)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_15
| ~ spl15_57
| spl15_62 ),
inference(backward_demodulation,[],[f1609,f1858]) ).
fof(f1609,plain,
( identity != inverse(sk_c8)
| spl15_62 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f1829,plain,
( spl15_57
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_12
| ~ spl15_13 ),
inference(avatar_split_clause,[],[f1818,f179,f174,f142,f137,f124,f710]) ).
fof(f174,plain,
( spl15_12
<=> sk_c11 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f1818,plain,
( identity = sk_c3
| ~ spl15_1
| ~ spl15_4
| ~ spl15_5
| ~ spl15_12
| ~ spl15_13 ),
inference(superposition,[],[f1287,f1734]) ).
fof(f1287,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl15_12 ),
inference(forward_demodulation,[],[f252,f176]) ).
fof(f176,plain,
( sk_c11 = sF14
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f252,plain,
identity = multiply(sF14,sk_c3),
inference(superposition,[],[f2,f99]) ).
fof(f99,plain,
inverse(sk_c3) = sF14,
introduced(function_definition,[]) ).
fof(f1726,plain,
( ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_11
| ~ spl15_13
| spl15_24
| ~ spl15_26 ),
inference(avatar_contradiction_clause,[],[f1725]) ).
fof(f1725,plain,
( $false
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_11
| ~ spl15_13
| spl15_24
| ~ spl15_26 ),
inference(subsumption_resolution,[],[f1724,f286]) ).
fof(f1724,plain,
( sk_c11 = sk_c10
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_11
| ~ spl15_13
| ~ spl15_26 ),
inference(backward_demodulation,[],[f250,f1616]) ).
fof(f1616,plain,
( ! [X9] : multiply(sk_c1,X9) = X9
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_11
| ~ spl15_13
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1073,f1614]) ).
fof(f1614,plain,
( ! [X18] : multiply(sk_c11,X18) = X18
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1289,f1613]) ).
fof(f1613,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c11,X0)) = X0
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1115,f1612]) ).
fof(f1612,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c7,X0)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1611,f1279]) ).
fof(f1279,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,X0)
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1278,f1256]) ).
fof(f1256,plain,
( ! [X12] : multiply(sk_c8,multiply(sk_c11,X12)) = multiply(sk_c11,X12)
| ~ spl15_2
| ~ spl15_8
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1165,f157]) ).
fof(f1165,plain,
( ! [X12] : multiply(sF11,X12) = multiply(sk_c8,multiply(sk_c11,X12))
| ~ spl15_2
| ~ spl15_26 ),
inference(forward_demodulation,[],[f335,f1072]) ).
fof(f1072,plain,
( ! [X15] : multiply(sk_c11,X15) = multiply(sk_c10,X15)
| ~ spl15_2
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1071,f1]) ).
fof(f1071,plain,
( ! [X15] : multiply(sk_c11,multiply(identity,X15)) = multiply(sk_c10,X15)
| ~ spl15_2
| ~ spl15_26 ),
inference(forward_demodulation,[],[f338,f298]) ).
fof(f298,plain,
( identity = sk_c9
| ~ spl15_26 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f338,plain,
( ! [X15] : multiply(sk_c11,multiply(sk_c9,X15)) = multiply(sk_c10,X15)
| ~ spl15_2 ),
inference(superposition,[],[f3,f247]) ).
fof(f247,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| ~ spl15_2 ),
inference(backward_demodulation,[],[f64,f130]) ).
fof(f130,plain,
( sk_c10 = sF5
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f1278,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c11,X0))
| ~ spl15_4
| ~ spl15_5 ),
inference(forward_demodulation,[],[f1106,f144]) ).
fof(f1106,plain,
( ! [X0] : multiply(sk_c8,multiply(sF13,X0)) = multiply(sk_c8,X0)
| ~ spl15_4 ),
inference(backward_demodulation,[],[f627,f139]) ).
fof(f627,plain,
! [X0] : multiply(sk_c8,X0) = multiply(sF12,multiply(sF13,X0)),
inference(forward_demodulation,[],[f625,f77]) ).
fof(f625,plain,
! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c5),multiply(sF13,X0)),
inference(superposition,[],[f346,f341]) ).
fof(f341,plain,
! [X18] : multiply(sF13,X18) = multiply(sk_c5,multiply(sk_c8,X18)),
inference(superposition,[],[f3,f96]) ).
fof(f1289,plain,
( ! [X18] : multiply(sk_c5,multiply(sk_c11,X18)) = multiply(sk_c11,X18)
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1288,f144]) ).
fof(f1288,plain,
( ! [X18] : multiply(sF13,X18) = multiply(sk_c5,multiply(sk_c11,X18))
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_26 ),
inference(forward_demodulation,[],[f341,f1279]) ).
fof(f1073,plain,
( ! [X9] : multiply(sk_c1,multiply(sk_c11,X9)) = multiply(sk_c11,X9)
| ~ spl15_2
| ~ spl15_11
| ~ spl15_26 ),
inference(backward_demodulation,[],[f332,f1072]) ).
fof(f332,plain,
( ! [X9] : multiply(sk_c1,multiply(sk_c11,X9)) = multiply(sk_c10,X9)
| ~ spl15_11 ),
inference(superposition,[],[f3,f250]) ).
fof(f1720,plain,
( ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_14
| ~ spl15_26
| spl15_31
| ~ spl15_32 ),
inference(avatar_contradiction_clause,[],[f1719]) ).
fof(f1719,plain,
( $false
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_14
| ~ spl15_26
| spl15_31
| ~ spl15_32 ),
inference(subsumption_resolution,[],[f1714,f321]) ).
fof(f321,plain,
( sk_c10 != inverse(identity)
| spl15_31 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f319,plain,
( spl15_31
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).
fof(f1714,plain,
( sk_c10 = inverse(identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_14
| ~ spl15_26
| ~ spl15_32 ),
inference(backward_demodulation,[],[f325,f1713]) ).
fof(f1713,plain,
( identity = sk_c4
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_14
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1095,f1623]) ).
fof(f1623,plain,
( ! [X0] : multiply(inverse(sk_c10),X0) = X0
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1379,f1614]) ).
fof(f1379,plain,
( ! [X0] : multiply(inverse(sk_c10),multiply(sk_c11,X0)) = X0
| ~ spl15_2
| ~ spl15_26 ),
inference(superposition,[],[f346,f1072]) ).
fof(f325,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl15_32 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f324,plain,
( spl15_32
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).
fof(f1704,plain,
( ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_15
| ~ spl15_26
| spl15_39 ),
inference(avatar_contradiction_clause,[],[f1703]) ).
fof(f1703,plain,
( $false
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_15
| ~ spl15_26
| spl15_39 ),
inference(subsumption_resolution,[],[f1702,f1598]) ).
fof(f1598,plain,
( identity != sk_c7
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| spl15_39 ),
inference(superposition,[],[f1270,f1123]) ).
fof(f1702,plain,
( identity = sk_c7
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_15
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1701,f1614]) ).
fof(f1701,plain,
( sk_c7 = multiply(sk_c11,identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_15
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1645,f1654]) ).
fof(f1654,plain,
( sk_c11 = sk_c5
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_15
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1647,f1625]) ).
fof(f1625,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1613,f1614]) ).
fof(f1647,plain,
( sk_c5 = multiply(sk_c5,sk_c11)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_15
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1259,f1638]) ).
fof(f1638,plain,
( sk_c5 = sk_c8
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_15
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1120,f1625]) ).
fof(f1645,plain,
( sk_c7 = multiply(sk_c5,identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_15
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1123,f1638]) ).
fof(f1700,plain,
( ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| spl15_21
| ~ spl15_26 ),
inference(avatar_contradiction_clause,[],[f1699]) ).
fof(f1699,plain,
( $false
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| spl15_21
| ~ spl15_26 ),
inference(subsumption_resolution,[],[f1698,f270]) ).
fof(f270,plain,
( identity != sk_c11
| spl15_21 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f1698,plain,
( identity = sk_c11
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1697,f1676]) ).
fof(f1676,plain,
( identity = multiply(sk_c11,sk_c10)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1249,f1672]) ).
fof(f1672,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1284,f1669]) ).
fof(f1669,plain,
( sk_c11 = sk_c3
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1285,f1665]) ).
fof(f1665,plain,
( sk_c11 = multiply(inverse(sk_c11),identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_15
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1644,f1654]) ).
fof(f1644,plain,
( sk_c5 = multiply(inverse(sk_c5),identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_15
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1107,f1638]) ).
fof(f1285,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl15_12 ),
inference(backward_demodulation,[],[f376,f176]) ).
fof(f376,plain,
sk_c3 = multiply(inverse(sF14),identity),
inference(superposition,[],[f346,f252]) ).
fof(f1284,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl15_12 ),
inference(backward_demodulation,[],[f99,f176]) ).
fof(f1249,plain,
( identity = multiply(inverse(sk_c11),sk_c10)
| ~ spl15_2
| ~ spl15_26 ),
inference(forward_demodulation,[],[f378,f298]) ).
fof(f378,plain,
( sk_c9 = multiply(inverse(sk_c11),sk_c10)
| ~ spl15_2 ),
inference(superposition,[],[f346,f247]) ).
fof(f1697,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_15
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1641,f1654]) ).
fof(f1641,plain,
( sk_c11 = multiply(sk_c5,sk_c10)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_15
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1070,f1638]) ).
fof(f1685,plain,
( ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| spl15_24
| ~ spl15_26 ),
inference(avatar_contradiction_clause,[],[f1684]) ).
fof(f1684,plain,
( $false
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| spl15_24
| ~ spl15_26 ),
inference(subsumption_resolution,[],[f1683,f286]) ).
fof(f1683,plain,
( sk_c11 = sk_c10
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1671,f1614]) ).
fof(f1671,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1258,f1669]) ).
fof(f1633,plain,
( ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_26
| spl15_30 ),
inference(avatar_contradiction_clause,[],[f1632]) ).
fof(f1632,plain,
( $false
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_26
| spl15_30 ),
inference(subsumption_resolution,[],[f1626,f1250]) ).
fof(f1250,plain,
( identity != sk_c10
| ~ spl15_26
| spl15_30 ),
inference(forward_demodulation,[],[f317,f298]) ).
fof(f1626,plain,
( identity = sk_c10
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_13
| ~ spl15_26 ),
inference(backward_demodulation,[],[f917,f1614]) ).
fof(f917,plain,
( sk_c10 = multiply(sk_c11,identity)
| ~ spl15_2
| ~ spl15_26 ),
inference(forward_demodulation,[],[f247,f298]) ).
fof(f1498,plain,
( ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| spl15_21
| ~ spl15_24
| ~ spl15_26 ),
inference(avatar_contradiction_clause,[],[f1497]) ).
fof(f1497,plain,
( $false
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| spl15_21
| ~ spl15_24
| ~ spl15_26 ),
inference(subsumption_resolution,[],[f1496,f270]) ).
fof(f1496,plain,
( identity = sk_c11
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_24
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1495,f1433]) ).
fof(f1433,plain,
( ! [X10] : multiply(sk_c11,X10) = X10
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_14
| ~ spl15_24
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1277,f1430]) ).
fof(f1430,plain,
( ! [X11] : multiply(sk_c3,multiply(sk_c11,X11)) = X11
| ~ spl15_2
| ~ spl15_9
| ~ spl15_12
| ~ spl15_14
| ~ spl15_24
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1262,f1429]) ).
fof(f1429,plain,
( sk_c3 = sk_c4
| ~ spl15_12
| ~ spl15_14
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1415,f1285]) ).
fof(f1415,plain,
( sk_c4 = multiply(inverse(sk_c11),identity)
| ~ spl15_14
| ~ spl15_24 ),
inference(backward_demodulation,[],[f1095,f285]) ).
fof(f1262,plain,
( ! [X11] : multiply(sk_c4,multiply(sk_c11,X11)) = X11
| ~ spl15_2
| ~ spl15_9
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1261,f1]) ).
fof(f1261,plain,
( ! [X11] : multiply(sk_c4,multiply(sk_c11,X11)) = multiply(identity,X11)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1260,f1072]) ).
fof(f1260,plain,
( ! [X11] : multiply(identity,X11) = multiply(sk_c4,multiply(sk_c10,X11))
| ~ spl15_9
| ~ spl15_26 ),
inference(forward_demodulation,[],[f334,f1248]) ).
fof(f1248,plain,
( identity = sF6
| ~ spl15_9
| ~ spl15_26 ),
inference(forward_demodulation,[],[f162,f298]) ).
fof(f334,plain,
! [X11] : multiply(sk_c4,multiply(sk_c10,X11)) = multiply(sF6,X11),
inference(superposition,[],[f3,f66]) ).
fof(f1277,plain,
( ! [X10] : multiply(sk_c3,multiply(sk_c11,X10)) = multiply(sk_c11,X10)
| ~ spl15_2
| ~ spl15_10
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1276,f1072]) ).
fof(f1495,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_24
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1494,f1476]) ).
fof(f1476,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_24
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1455,f1466]) ).
fof(f1466,plain,
( sk_c11 = sk_c5
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_24
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1459,f1439]) ).
fof(f1439,plain,
( ! [X18] : multiply(sk_c5,X18) = X18
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_14
| ~ spl15_24
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1289,f1433]) ).
fof(f1459,plain,
( sk_c5 = multiply(sk_c5,sk_c11)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_24
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1259,f1451]) ).
fof(f1451,plain,
( sk_c5 = sk_c8
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_24
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1120,f1439]) ).
fof(f1455,plain,
( sk_c5 = inverse(sk_c5)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_24
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1105,f1451]) ).
fof(f1494,plain,
( sk_c11 = multiply(inverse(sk_c11),identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_24
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1456,f1466]) ).
fof(f1456,plain,
( sk_c5 = multiply(inverse(sk_c5),identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_24
| ~ spl15_26 ),
inference(backward_demodulation,[],[f1107,f1451]) ).
fof(f1404,plain,
( spl15_24
| ~ spl15_2
| ~ spl15_26
| ~ spl15_60 ),
inference(avatar_split_clause,[],[f1403,f1390,f297,f128,f284]) ).
fof(f1390,plain,
( spl15_60
<=> sk_c11 = multiply(sk_c11,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_60])]) ).
fof(f1403,plain,
( sk_c11 = sk_c10
| ~ spl15_2
| ~ spl15_26
| ~ spl15_60 ),
inference(backward_demodulation,[],[f917,f1391]) ).
fof(f1391,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl15_60 ),
inference(avatar_component_clause,[],[f1390]) ).
fof(f1400,plain,
( spl15_60
| ~ spl15_3
| ~ spl15_26 ),
inference(avatar_split_clause,[],[f1397,f297,f133,f1390]) ).
fof(f133,plain,
( spl15_3
<=> sk_c11 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f1397,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl15_3
| ~ spl15_26 ),
inference(superposition,[],[f1050,f1078]) ).
fof(f1078,plain,
( ! [X16] : multiply(sk_c11,X16) = multiply(sk_c2,X16)
| ~ spl15_3
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1077,f1]) ).
fof(f1077,plain,
( ! [X16] : multiply(sk_c2,multiply(identity,X16)) = multiply(sk_c11,X16)
| ~ spl15_3
| ~ spl15_26 ),
inference(forward_demodulation,[],[f339,f298]) ).
fof(f339,plain,
( ! [X16] : multiply(sk_c2,multiply(sk_c9,X16)) = multiply(sk_c11,X16)
| ~ spl15_3 ),
inference(superposition,[],[f3,f248]) ).
fof(f248,plain,
( sk_c11 = multiply(sk_c2,sk_c9)
| ~ spl15_3 ),
inference(backward_demodulation,[],[f73,f135]) ).
fof(f135,plain,
( sk_c11 = sF10
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f73,plain,
multiply(sk_c2,sk_c9) = sF10,
introduced(function_definition,[]) ).
fof(f1050,plain,
( sk_c11 = multiply(sk_c2,identity)
| ~ spl15_3
| ~ spl15_26 ),
inference(forward_demodulation,[],[f248,f298]) ).
fof(f1393,plain,
( ~ spl15_59
| ~ spl15_60
| ~ spl15_2
| ~ spl15_16
| ~ spl15_26 ),
inference(avatar_split_clause,[],[f1382,f297,f207,f128,f1390,f1386]) ).
fof(f207,plain,
( spl15_16
<=> ! [X4] :
( sk_c9 != inverse(X4)
| sk_c11 != multiply(X4,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f1382,plain,
( sk_c11 != multiply(sk_c11,identity)
| identity != inverse(sk_c10)
| ~ spl15_2
| ~ spl15_16
| ~ spl15_26 ),
inference(superposition,[],[f810,f1072]) ).
fof(f810,plain,
( ! [X4] :
( sk_c11 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl15_16
| ~ spl15_26 ),
inference(forward_demodulation,[],[f809,f298]) ).
fof(f809,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c11 != multiply(X4,identity) )
| ~ spl15_16
| ~ spl15_26 ),
inference(forward_demodulation,[],[f208,f298]) ).
fof(f208,plain,
( ! [X4] :
( sk_c11 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f1160,plain,
( ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| ~ spl15_15
| spl15_20
| ~ spl15_26
| ~ spl15_39 ),
inference(avatar_contradiction_clause,[],[f1159]) ).
fof(f1159,plain,
( $false
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| ~ spl15_15
| spl15_20
| ~ spl15_26
| ~ spl15_39 ),
inference(subsumption_resolution,[],[f1157,f1155]) ).
fof(f1155,plain,
( identity = inverse(identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| ~ spl15_15
| ~ spl15_39 ),
inference(backward_demodulation,[],[f1135,f1145]) ).
fof(f1145,plain,
( identity = sk_c5
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| ~ spl15_15
| ~ spl15_39 ),
inference(forward_demodulation,[],[f1144,f1125]) ).
fof(f1125,plain,
( identity = multiply(sk_c5,identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| ~ spl15_39 ),
inference(backward_demodulation,[],[f1116,f1124]) ).
fof(f1124,plain,
( identity = sk_c7
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| ~ spl15_39 ),
inference(forward_demodulation,[],[f1123,f1109]) ).
fof(f1109,plain,
( identity = multiply(sk_c8,identity)
| ~ spl15_4
| ~ spl15_39 ),
inference(backward_demodulation,[],[f559,f139]) ).
fof(f559,plain,
( identity = multiply(sF12,identity)
| ~ spl15_39 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f1116,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13 ),
inference(backward_demodulation,[],[f1076,f1110]) ).
fof(f1076,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl15_13 ),
inference(forward_demodulation,[],[f255,f181]) ).
fof(f1144,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| ~ spl15_15
| ~ spl15_39 ),
inference(forward_demodulation,[],[f1136,f1135]) ).
fof(f1136,plain,
( sk_c5 = multiply(inverse(sk_c5),identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| ~ spl15_15
| ~ spl15_39 ),
inference(backward_demodulation,[],[f1107,f1130]) ).
fof(f1130,plain,
( sk_c5 = sk_c8
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| ~ spl15_15
| ~ spl15_39 ),
inference(backward_demodulation,[],[f1120,f1128]) ).
fof(f1128,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| ~ spl15_39 ),
inference(forward_demodulation,[],[f1127,f1]) ).
fof(f1127,plain,
( ! [X0] : multiply(sk_c5,multiply(identity,X0)) = X0
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| ~ spl15_39 ),
inference(backward_demodulation,[],[f1115,f1124]) ).
fof(f1135,plain,
( sk_c5 = inverse(sk_c5)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| ~ spl15_15
| ~ spl15_39 ),
inference(backward_demodulation,[],[f1105,f1130]) ).
fof(f1157,plain,
( identity != inverse(identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| ~ spl15_15
| spl15_20
| ~ spl15_26
| ~ spl15_39 ),
inference(backward_demodulation,[],[f866,f1155]) ).
fof(f866,plain,
( identity != inverse(inverse(identity))
| spl15_20
| ~ spl15_26 ),
inference(forward_demodulation,[],[f266,f298]) ).
fof(f266,plain,
( sk_c9 != inverse(inverse(sk_c9))
| spl15_20 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl15_20
<=> sk_c9 = inverse(inverse(sk_c9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).
fof(f1104,plain,
( spl15_25
| ~ spl15_26
| ~ spl15_33 ),
inference(avatar_contradiction_clause,[],[f1103]) ).
fof(f1103,plain,
( $false
| spl15_25
| ~ spl15_26
| ~ spl15_33 ),
inference(subsumption_resolution,[],[f1102,f298]) ).
fof(f1102,plain,
( identity != sk_c9
| spl15_25
| ~ spl15_33 ),
inference(forward_demodulation,[],[f290,f479]) ).
fof(f479,plain,
( identity = inverse(sk_c11)
| ~ spl15_33 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f290,plain,
( sk_c9 != inverse(sk_c11)
| spl15_25 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f288,plain,
( spl15_25
<=> sk_c9 = inverse(sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).
fof(f1100,plain,
( spl15_32
| ~ spl15_14 ),
inference(avatar_split_clause,[],[f1099,f184,f324]) ).
fof(f1099,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f63,f186]) ).
fof(f1069,plain,
( ~ spl15_21
| spl15_22
| ~ spl15_26 ),
inference(avatar_split_clause,[],[f1068,f297,f273,f268]) ).
fof(f1068,plain,
( identity != sk_c11
| spl15_22
| ~ spl15_26 ),
inference(forward_demodulation,[],[f275,f298]) ).
fof(f275,plain,
( sk_c11 != sk_c9
| spl15_22 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f723,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11
| ~ spl15_19
| ~ spl15_21 ),
inference(avatar_contradiction_clause,[],[f722]) ).
fof(f722,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11
| ~ spl15_19
| ~ spl15_21 ),
inference(subsumption_resolution,[],[f707,f462]) ).
fof(f462,plain,
( identity = inverse(identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(forward_demodulation,[],[f446,f452]) ).
fof(f452,plain,
( identity = sk_c2
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(backward_demodulation,[],[f429,f438]) ).
fof(f438,plain,
( identity = multiply(sk_c11,identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(backward_demodulation,[],[f251,f436]) ).
fof(f436,plain,
( identity = sk_c1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(backward_demodulation,[],[f426,f404]) ).
fof(f404,plain,
( identity = multiply(sk_c1,sk_c11)
| ~ spl15_7
| ~ spl15_11 ),
inference(backward_demodulation,[],[f250,f397]) ).
fof(f397,plain,
( identity = sk_c10
| ~ spl15_7
| ~ spl15_11 ),
inference(forward_demodulation,[],[f395,f2]) ).
fof(f395,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl15_7
| ~ spl15_11 ),
inference(superposition,[],[f346,f389]) ).
fof(f389,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl15_7
| ~ spl15_11 ),
inference(forward_demodulation,[],[f372,f249]) ).
fof(f249,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl15_7 ),
inference(backward_demodulation,[],[f71,f153]) ).
fof(f153,plain,
( sk_c11 = sF9
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl15_7
<=> sk_c11 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f71,plain,
inverse(sk_c1) = sF9,
introduced(function_definition,[]) ).
fof(f372,plain,
( sk_c11 = multiply(inverse(sk_c1),sk_c10)
| ~ spl15_11 ),
inference(superposition,[],[f346,f250]) ).
fof(f426,plain,
( sk_c1 = multiply(sk_c1,sk_c11)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(backward_demodulation,[],[f356,f417]) ).
fof(f417,plain,
( sk_c1 = sk_c9
| ~ spl15_2
| ~ spl15_7
| ~ spl15_11 ),
inference(forward_demodulation,[],[f412,f371]) ).
fof(f371,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl15_7 ),
inference(superposition,[],[f346,f251]) ).
fof(f412,plain,
( sk_c9 = multiply(inverse(sk_c11),identity)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_11 ),
inference(backward_demodulation,[],[f378,f397]) ).
fof(f356,plain,
( sk_c9 = multiply(sk_c9,sk_c11)
| ~ spl15_3
| ~ spl15_6 ),
inference(superposition,[],[f345,f248]) ).
fof(f345,plain,
( ! [X19] : multiply(sk_c9,multiply(sk_c2,X19)) = X19
| ~ spl15_6 ),
inference(forward_demodulation,[],[f342,f1]) ).
fof(f342,plain,
( ! [X19] : multiply(sk_c9,multiply(sk_c2,X19)) = multiply(identity,X19)
| ~ spl15_6 ),
inference(superposition,[],[f3,f257]) ).
fof(f257,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl15_6 ),
inference(superposition,[],[f2,f246]) ).
fof(f246,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl15_6 ),
inference(backward_demodulation,[],[f60,f148]) ).
fof(f148,plain,
( sk_c9 = sF2
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl15_6
<=> sk_c9 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f60,plain,
inverse(sk_c2) = sF2,
introduced(function_definition,[]) ).
fof(f251,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl15_7 ),
inference(superposition,[],[f2,f249]) ).
fof(f429,plain,
( sk_c2 = multiply(sk_c11,identity)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(forward_demodulation,[],[f428,f249]) ).
fof(f428,plain,
( sk_c2 = multiply(inverse(sk_c1),identity)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(backward_demodulation,[],[f385,f417]) ).
fof(f385,plain,
( sk_c2 = multiply(inverse(sk_c9),identity)
| ~ spl15_6 ),
inference(superposition,[],[f346,f257]) ).
fof(f446,plain,
( identity = inverse(sk_c2)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(backward_demodulation,[],[f420,f436]) ).
fof(f420,plain,
( sk_c1 = inverse(sk_c2)
| ~ spl15_2
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(backward_demodulation,[],[f246,f417]) ).
fof(f707,plain,
( identity != inverse(identity)
| ~ spl15_7
| ~ spl15_11
| ~ spl15_19
| ~ spl15_21 ),
inference(trivial_inequality_removal,[],[f703]) ).
fof(f703,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl15_7
| ~ spl15_11
| ~ spl15_19
| ~ spl15_21 ),
inference(superposition,[],[f689,f1]) ).
fof(f689,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl15_7
| ~ spl15_11
| ~ spl15_19
| ~ spl15_21 ),
inference(forward_demodulation,[],[f688,f397]) ).
fof(f688,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c10 != multiply(X3,identity) )
| ~ spl15_19
| ~ spl15_21 ),
inference(forward_demodulation,[],[f687,f269]) ).
fof(f687,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,identity) )
| ~ spl15_19
| ~ spl15_21 ),
inference(forward_demodulation,[],[f217,f269]) ).
fof(f662,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11
| ~ spl15_18
| ~ spl15_21 ),
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f661,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11
| ~ spl15_18
| ~ spl15_21 ),
inference(subsumption_resolution,[],[f660,f462]) ).
fof(f660,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11
| ~ spl15_18
| ~ spl15_21 ),
inference(forward_demodulation,[],[f659,f462]) ).
fof(f659,plain,
( identity != inverse(inverse(identity))
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11
| ~ spl15_18
| ~ spl15_21 ),
inference(subsumption_resolution,[],[f634,f462]) ).
fof(f634,plain,
( identity != inverse(identity)
| identity != inverse(inverse(identity))
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11
| ~ spl15_18
| ~ spl15_21 ),
inference(superposition,[],[f586,f2]) ).
fof(f586,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(multiply(X0,identity)) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11
| ~ spl15_18
| ~ spl15_21 ),
inference(subsumption_resolution,[],[f536,f1]) ).
fof(f536,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| identity != inverse(multiply(X0,identity))
| inverse(X0) != multiply(X0,identity) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11
| ~ spl15_18
| ~ spl15_21 ),
inference(duplicate_literal_removal,[],[f527]) ).
fof(f527,plain,
( ! [X0] :
( identity != inverse(multiply(X0,identity))
| inverse(X0) != multiply(X0,identity)
| identity != multiply(identity,identity)
| identity != multiply(identity,identity) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11
| ~ spl15_18
| ~ spl15_21 ),
inference(superposition,[],[f508,f462]) ).
fof(f508,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| identity != multiply(X7,inverse(X7))
| inverse(X9) != multiply(X9,inverse(X7))
| identity != multiply(inverse(X7),identity) )
| ~ spl15_7
| ~ spl15_11
| ~ spl15_18
| ~ spl15_21 ),
inference(forward_demodulation,[],[f507,f269]) ).
fof(f507,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| identity != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),identity) )
| ~ spl15_7
| ~ spl15_11
| ~ spl15_18
| ~ spl15_21 ),
inference(forward_demodulation,[],[f506,f269]) ).
fof(f506,plain,
( ! [X9,X7] :
( sk_c11 != multiply(X7,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != multiply(inverse(X7),identity)
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl15_7
| ~ spl15_11
| ~ spl15_18 ),
inference(forward_demodulation,[],[f214,f397]) ).
fof(f491,plain,
( spl15_26
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f443,f169,f151,f146,f133,f128,f297]) ).
fof(f443,plain,
( identity = sk_c9
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(backward_demodulation,[],[f417,f436]) ).
fof(f488,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11
| spl15_27 ),
inference(avatar_contradiction_clause,[],[f487]) ).
fof(f487,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11
| spl15_27 ),
inference(subsumption_resolution,[],[f486,f462]) ).
fof(f486,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11
| spl15_27 ),
inference(forward_demodulation,[],[f485,f462]) ).
fof(f485,plain,
( identity != inverse(inverse(identity))
| ~ spl15_7
| ~ spl15_11
| spl15_27 ),
inference(forward_demodulation,[],[f303,f397]) ).
fof(f303,plain,
( sk_c10 != inverse(inverse(sk_c10))
| spl15_27 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl15_27
<=> sk_c10 = inverse(inverse(sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).
fof(f483,plain,
( spl15_21
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f482,f169,f151,f146,f133,f128,f268]) ).
fof(f482,plain,
( identity = sk_c11
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(backward_demodulation,[],[f437,f462]) ).
fof(f437,plain,
( sk_c11 = inverse(identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_6
| ~ spl15_7
| ~ spl15_11 ),
inference(backward_demodulation,[],[f249,f436]) ).
fof(f327,plain,
( ~ spl15_32
| ~ spl15_9
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f292,f210,f160,f324]) ).
fof(f210,plain,
( spl15_17
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f292,plain,
( sk_c9 != sF6
| sk_c10 != inverse(sk_c4)
| ~ spl15_17 ),
inference(superposition,[],[f211,f66]) ).
fof(f211,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) )
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f322,plain,
( ~ spl15_30
| ~ spl15_31
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f294,f210,f319,f315]) ).
fof(f294,plain,
( sk_c10 != inverse(identity)
| sk_c10 != sk_c9
| ~ spl15_17 ),
inference(superposition,[],[f211,f1]) ).
fof(f304,plain,
( ~ spl15_26
| ~ spl15_27
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f295,f210,f301,f297]) ).
fof(f295,plain,
( sk_c10 != inverse(inverse(sk_c10))
| identity != sk_c9
| ~ spl15_17 ),
inference(superposition,[],[f211,f2]) ).
fof(f291,plain,
( ~ spl15_24
| ~ spl15_25
| ~ spl15_2
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f258,f207,f128,f288,f284]) ).
fof(f258,plain,
( sk_c9 != inverse(sk_c11)
| sk_c11 != sk_c10
| ~ spl15_2
| ~ spl15_16 ),
inference(superposition,[],[f208,f247]) ).
fof(f282,plain,
( ~ spl15_3
| ~ spl15_6
| ~ spl15_16 ),
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f281,plain,
( $false
| ~ spl15_3
| ~ spl15_6
| ~ spl15_16 ),
inference(subsumption_resolution,[],[f262,f246]) ).
fof(f262,plain,
( sk_c9 != inverse(sk_c2)
| ~ spl15_3
| ~ spl15_16 ),
inference(trivial_inequality_removal,[],[f259]) ).
fof(f259,plain,
( sk_c11 != sk_c11
| sk_c9 != inverse(sk_c2)
| ~ spl15_3
| ~ spl15_16 ),
inference(superposition,[],[f208,f248]) ).
fof(f271,plain,
( ~ spl15_20
| ~ spl15_21
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f261,f207,f268,f264]) ).
fof(f261,plain,
( identity != sk_c11
| sk_c9 != inverse(inverse(sk_c9))
| ~ spl15_16 ),
inference(superposition,[],[f208,f2]) ).
fof(f245,plain,
( spl15_6
| spl15_12 ),
inference(avatar_split_clause,[],[f100,f174,f146]) ).
fof(f100,plain,
( sk_c11 = sF14
| sk_c9 = sF2 ),
inference(definition_folding,[],[f45,f99,f60]) ).
fof(f45,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f244,plain,
( spl15_2
| spl15_5 ),
inference(avatar_split_clause,[],[f98,f142,f128]) ).
fof(f98,plain,
( sk_c11 = sF13
| sk_c10 = sF5 ),
inference(definition_folding,[],[f28,f64,f96]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f243,plain,
( spl15_11
| spl15_4 ),
inference(avatar_split_clause,[],[f78,f137,f169]) ).
fof(f78,plain,
( sk_c8 = sF12
| sk_c10 = sF1 ),
inference(definition_folding,[],[f9,f77,f58]) ).
fof(f9,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f242,plain,
( spl15_11
| spl15_9 ),
inference(avatar_split_clause,[],[f67,f160,f169]) ).
fof(f67,plain,
( sk_c9 = sF6
| sk_c10 = sF1 ),
inference(definition_folding,[],[f6,f66,f58]) ).
fof(f6,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f241,plain,
( spl15_11
| spl15_15 ),
inference(avatar_split_clause,[],[f81,f196,f169]) ).
fof(f81,plain,
( sk_c6 = sF8
| sk_c10 = sF1 ),
inference(definition_folding,[],[f13,f58,f70]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f240,plain,
( spl15_6
| spl15_8 ),
inference(avatar_split_clause,[],[f117,f155,f146]) ).
fof(f117,plain,
( sk_c11 = sF11
| sk_c9 = sF2 ),
inference(definition_folding,[],[f50,f60,f75]) ).
fof(f50,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f239,plain,
( spl15_13
| spl15_7 ),
inference(avatar_split_clause,[],[f105,f151,f179]) ).
fof(f105,plain,
( sk_c11 = sF9
| sk_c6 = sF3 ),
inference(definition_folding,[],[f21,f61,f71]) ).
fof(f21,axiom,
( sk_c11 = inverse(sk_c1)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f238,plain,
( spl15_2
| spl15_10 ),
inference(avatar_split_clause,[],[f106,f165,f128]) ).
fof(f106,plain,
( sk_c10 = sF0
| sk_c10 = sF5 ),
inference(definition_folding,[],[f24,f57,f64]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f237,plain,
( spl15_2
| spl15_9 ),
inference(avatar_split_clause,[],[f80,f160,f128]) ).
fof(f80,plain,
( sk_c9 = sF6
| sk_c10 = sF5 ),
inference(definition_folding,[],[f26,f66,f64]) ).
fof(f26,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f236,plain,
( spl15_2
| spl15_4 ),
inference(avatar_split_clause,[],[f85,f137,f128]) ).
fof(f85,plain,
( sk_c8 = sF12
| sk_c10 = sF5 ),
inference(definition_folding,[],[f29,f77,f64]) ).
fof(f29,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f235,plain,
( spl15_11
| spl15_8 ),
inference(avatar_split_clause,[],[f94,f155,f169]) ).
fof(f94,plain,
( sk_c11 = sF11
| sk_c10 = sF1 ),
inference(definition_folding,[],[f10,f75,f58]) ).
fof(f10,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f234,plain,
( spl15_4
| spl15_7 ),
inference(avatar_split_clause,[],[f87,f151,f137]) ).
fof(f87,plain,
( sk_c11 = sF9
| sk_c8 = sF12 ),
inference(definition_folding,[],[f19,f71,f77]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f233,plain,
( spl15_7
| spl15_12 ),
inference(avatar_split_clause,[],[f121,f174,f151]) ).
fof(f121,plain,
( sk_c11 = sF14
| sk_c11 = sF9 ),
inference(definition_folding,[],[f15,f99,f71]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f232,plain,
( spl15_8
| spl15_2 ),
inference(avatar_split_clause,[],[f84,f128,f155]) ).
fof(f84,plain,
( sk_c10 = sF5
| sk_c11 = sF11 ),
inference(definition_folding,[],[f30,f75,f64]) ).
fof(f30,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f231,plain,
( spl15_13
| spl15_6 ),
inference(avatar_split_clause,[],[f62,f146,f179]) ).
fof(f62,plain,
( sk_c9 = sF2
| sk_c6 = sF3 ),
inference(definition_folding,[],[f51,f61,f60]) ).
fof(f51,axiom,
( sk_c9 = inverse(sk_c2)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f230,plain,
( spl15_6
| spl15_14 ),
inference(avatar_split_clause,[],[f111,f184,f146]) ).
fof(f111,plain,
( sk_c10 = sF4
| sk_c9 = sF2 ),
inference(definition_folding,[],[f47,f63,f60]) ).
fof(f47,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f229,plain,
( spl15_1
| spl15_7 ),
inference(avatar_split_clause,[],[f86,f151,f124]) ).
fof(f86,plain,
( sk_c11 = sF9
| sk_c8 = sF7 ),
inference(definition_folding,[],[f22,f71,f68]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f228,plain,
( spl15_3
| spl15_10 ),
inference(avatar_split_clause,[],[f118,f165,f133]) ).
fof(f118,plain,
( sk_c10 = sF0
| sk_c11 = sF10 ),
inference(definition_folding,[],[f34,f73,f57]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f227,plain,
( spl15_10
| spl15_7 ),
inference(avatar_split_clause,[],[f108,f151,f165]) ).
fof(f108,plain,
( sk_c11 = sF9
| sk_c10 = sF0 ),
inference(definition_folding,[],[f14,f57,f71]) ).
fof(f14,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f226,plain,
( spl15_5
| spl15_11 ),
inference(avatar_split_clause,[],[f107,f169,f142]) ).
fof(f107,plain,
( sk_c10 = sF1
| sk_c11 = sF13 ),
inference(definition_folding,[],[f8,f58,f96]) ).
fof(f8,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f225,plain,
( spl15_14
| spl15_3 ),
inference(avatar_split_clause,[],[f90,f133,f184]) ).
fof(f90,plain,
( sk_c11 = sF10
| sk_c10 = sF4 ),
inference(definition_folding,[],[f37,f73,f63]) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f224,plain,
( spl15_3
| spl15_13 ),
inference(avatar_split_clause,[],[f74,f179,f133]) ).
fof(f74,plain,
( sk_c6 = sF3
| sk_c11 = sF10 ),
inference(definition_folding,[],[f41,f73,f61]) ).
fof(f41,axiom,
( inverse(sk_c7) = sk_c6
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f223,plain,
( spl15_14
| spl15_2 ),
inference(avatar_split_clause,[],[f65,f128,f184]) ).
fof(f65,plain,
( sk_c10 = sF5
| sk_c10 = sF4 ),
inference(definition_folding,[],[f27,f64,f63]) ).
fof(f27,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f222,plain,
( spl15_3
| spl15_15 ),
inference(avatar_split_clause,[],[f101,f196,f133]) ).
fof(f101,plain,
( sk_c6 = sF8
| sk_c11 = sF10 ),
inference(definition_folding,[],[f43,f70,f73]) ).
fof(f43,axiom,
( sk_c11 = multiply(sk_c2,sk_c9)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f221,plain,
( spl15_7
| spl15_5 ),
inference(avatar_split_clause,[],[f115,f142,f151]) ).
fof(f115,plain,
( sk_c11 = sF13
| sk_c11 = sF9 ),
inference(definition_folding,[],[f18,f96,f71]) ).
fof(f18,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f220,plain,
( spl15_6
| spl15_10 ),
inference(avatar_split_clause,[],[f95,f165,f146]) ).
fof(f95,plain,
( sk_c10 = sF0
| sk_c9 = sF2 ),
inference(definition_folding,[],[f44,f57,f60]) ).
fof(f44,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f219,plain,
( spl15_7
| spl15_15 ),
inference(avatar_split_clause,[],[f72,f196,f151]) ).
fof(f72,plain,
( sk_c6 = sF8
| sk_c11 = sF9 ),
inference(definition_folding,[],[f23,f71,f70]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f218,plain,
( ~ spl15_2
| spl15_16
| spl15_17
| spl15_18
| spl15_19
| spl15_19 ),
inference(avatar_split_clause,[],[f122,f216,f216,f213,f210,f207,f128]) ).
fof(f122,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X3)
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c11 != inverse(X5)
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X4)
| sk_c9 != multiply(X6,sk_c10)
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c10 != multiply(X3,sk_c11)
| sk_c10 != sF5
| sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(X4,sk_c9) ),
inference(definition_folding,[],[f56,f64]) ).
fof(f56,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X5)
| sk_c11 != inverse(X3)
| sk_c10 != multiply(X5,sk_c11)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c9 != inverse(X4)
| sk_c11 != multiply(X7,inverse(X7))
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != multiply(inverse(X7),sk_c10)
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != multiply(X4,sk_c9) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X5)
| sk_c11 != inverse(X3)
| sk_c10 != multiply(X5,sk_c11)
| inverse(X9) != multiply(X9,X8)
| sk_c9 != inverse(X4)
| sk_c11 != multiply(X7,X8)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != multiply(X8,sk_c10)
| inverse(multiply(X9,X8)) != X8
| sk_c11 != multiply(X4,sk_c9)
| inverse(X7) != X8 ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X5)
| sk_c11 != inverse(X3)
| sk_c10 != multiply(X5,sk_c11)
| multiply(X9,X8) != X10
| inverse(X9) != X10
| sk_c9 != inverse(X4)
| sk_c11 != multiply(X7,X8)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != multiply(X8,sk_c10)
| inverse(X10) != X8
| sk_c11 != multiply(X4,sk_c9)
| inverse(X7) != X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f205,plain,
( spl15_3
| spl15_8 ),
inference(avatar_split_clause,[],[f76,f155,f133]) ).
fof(f76,plain,
( sk_c11 = sF11
| sk_c11 = sF10 ),
inference(definition_folding,[],[f40,f75,f73]) ).
fof(f40,axiom,
( sk_c11 = multiply(sk_c2,sk_c9)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f204,plain,
( spl15_1
| spl15_11 ),
inference(avatar_split_clause,[],[f92,f169,f124]) ).
fof(f92,plain,
( sk_c10 = sF1
| sk_c8 = sF7 ),
inference(definition_folding,[],[f12,f58,f68]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c6)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f203,plain,
( spl15_15
| spl15_6 ),
inference(avatar_split_clause,[],[f109,f146,f196]) ).
fof(f109,plain,
( sk_c9 = sF2
| sk_c6 = sF8 ),
inference(definition_folding,[],[f53,f60,f70]) ).
fof(f53,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f202,plain,
( spl15_2
| spl15_12 ),
inference(avatar_split_clause,[],[f116,f174,f128]) ).
fof(f116,plain,
( sk_c11 = sF14
| sk_c10 = sF5 ),
inference(definition_folding,[],[f25,f99,f64]) ).
fof(f25,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f201,plain,
( spl15_7
| spl15_9 ),
inference(avatar_split_clause,[],[f82,f160,f151]) ).
fof(f82,plain,
( sk_c9 = sF6
| sk_c11 = sF9 ),
inference(definition_folding,[],[f16,f71,f66]) ).
fof(f16,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f200,plain,
( spl15_6
| spl15_1 ),
inference(avatar_split_clause,[],[f69,f124,f146]) ).
fof(f69,plain,
( sk_c8 = sF7
| sk_c9 = sF2 ),
inference(definition_folding,[],[f52,f60,f68]) ).
fof(f52,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f199,plain,
( spl15_15
| spl15_2 ),
inference(avatar_split_clause,[],[f103,f128,f196]) ).
fof(f103,plain,
( sk_c10 = sF5
| sk_c6 = sF8 ),
inference(definition_folding,[],[f33,f70,f64]) ).
fof(f33,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f194,plain,
( spl15_4
| spl15_6 ),
inference(avatar_split_clause,[],[f93,f146,f137]) ).
fof(f93,plain,
( sk_c9 = sF2
| sk_c8 = sF12 ),
inference(definition_folding,[],[f49,f77,f60]) ).
fof(f49,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f193,plain,
( spl15_3
| spl15_12 ),
inference(avatar_split_clause,[],[f119,f174,f133]) ).
fof(f119,plain,
( sk_c11 = sF14
| sk_c11 = sF10 ),
inference(definition_folding,[],[f35,f73,f99]) ).
fof(f35,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f192,plain,
( spl15_1
| spl15_3 ),
inference(avatar_split_clause,[],[f110,f133,f124]) ).
fof(f110,plain,
( sk_c11 = sF10
| sk_c8 = sF7 ),
inference(definition_folding,[],[f42,f73,f68]) ).
fof(f42,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f191,plain,
( spl15_3
| spl15_9 ),
inference(avatar_split_clause,[],[f113,f160,f133]) ).
fof(f113,plain,
( sk_c9 = sF6
| sk_c11 = sF10 ),
inference(definition_folding,[],[f36,f73,f66]) ).
fof(f36,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f190,plain,
( spl15_13
| spl15_11 ),
inference(avatar_split_clause,[],[f79,f169,f179]) ).
fof(f79,plain,
( sk_c10 = sF1
| sk_c6 = sF3 ),
inference(definition_folding,[],[f11,f58,f61]) ).
fof(f11,axiom,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f189,plain,
( spl15_3
| spl15_5 ),
inference(avatar_split_clause,[],[f97,f142,f133]) ).
fof(f97,plain,
( sk_c11 = sF13
| sk_c11 = sF10 ),
inference(definition_folding,[],[f38,f73,f96]) ).
fof(f38,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f188,plain,
( spl15_14
| spl15_7 ),
inference(avatar_split_clause,[],[f83,f151,f184]) ).
fof(f83,plain,
( sk_c11 = sF9
| sk_c10 = sF4 ),
inference(definition_folding,[],[f17,f63,f71]) ).
fof(f17,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f187,plain,
( spl15_14
| spl15_11 ),
inference(avatar_split_clause,[],[f112,f169,f184]) ).
fof(f112,plain,
( sk_c10 = sF1
| sk_c10 = sF4 ),
inference(definition_folding,[],[f7,f58,f63]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f182,plain,
( spl15_13
| spl15_2 ),
inference(avatar_split_clause,[],[f104,f128,f179]) ).
fof(f104,plain,
( sk_c10 = sF5
| sk_c6 = sF3 ),
inference(definition_folding,[],[f31,f61,f64]) ).
fof(f31,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f177,plain,
( spl15_11
| spl15_12 ),
inference(avatar_split_clause,[],[f120,f174,f169]) ).
fof(f120,plain,
( sk_c11 = sF14
| sk_c10 = sF1 ),
inference(definition_folding,[],[f5,f99,f58]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f172,plain,
( spl15_10
| spl15_11 ),
inference(avatar_split_clause,[],[f59,f169,f165]) ).
fof(f59,plain,
( sk_c10 = sF1
| sk_c10 = sF0 ),
inference(definition_folding,[],[f4,f58,f57]) ).
fof(f4,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f163,plain,
( spl15_6
| spl15_9 ),
inference(avatar_split_clause,[],[f89,f160,f146]) ).
fof(f89,plain,
( sk_c9 = sF6
| sk_c9 = sF2 ),
inference(definition_folding,[],[f46,f66,f60]) ).
fof(f46,axiom,
( sk_c9 = inverse(sk_c2)
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f158,plain,
( spl15_7
| spl15_8 ),
inference(avatar_split_clause,[],[f91,f155,f151]) ).
fof(f91,plain,
( sk_c11 = sF11
| sk_c11 = sF9 ),
inference(definition_folding,[],[f20,f71,f75]) ).
fof(f20,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f149,plain,
( spl15_5
| spl15_6 ),
inference(avatar_split_clause,[],[f102,f146,f142]) ).
fof(f102,plain,
( sk_c9 = sF2
| sk_c11 = sF13 ),
inference(definition_folding,[],[f48,f96,f60]) ).
fof(f48,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f140,plain,
( spl15_3
| spl15_4 ),
inference(avatar_split_clause,[],[f88,f137,f133]) ).
fof(f88,plain,
( sk_c8 = sF12
| sk_c11 = sF10 ),
inference(definition_folding,[],[f39,f77,f73]) ).
fof(f39,axiom,
( sk_c11 = multiply(sk_c2,sk_c9)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f131,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f114,f128,f124]) ).
fof(f114,plain,
( sk_c10 = sF5
| sk_c8 = sF7 ),
inference(definition_folding,[],[f32,f64,f68]) ).
fof(f32,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP273-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 22:22:51 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.45 % (17790)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)
% 0.20/0.47 % (17781)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.48 % (17790)Instruction limit reached!
% 0.20/0.48 % (17790)------------------------------
% 0.20/0.48 % (17790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (17807)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)
% 0.20/0.48 % (17790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (17790)Termination reason: Unknown
% 0.20/0.48 % (17790)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (17790)Memory used [KB]: 5884
% 0.20/0.48 % (17790)Time elapsed: 0.003 s
% 0.20/0.48 % (17790)Instructions burned: 3 (million)
% 0.20/0.48 % (17790)------------------------------
% 0.20/0.48 % (17790)------------------------------
% 0.20/0.49 % (17809)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)
% 0.20/0.49 % (17787)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.50 % (17809)Refutation not found, incomplete strategy% (17809)------------------------------
% 0.20/0.50 % (17809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (17809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (17809)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (17809)Memory used [KB]: 6012
% 0.20/0.50 % (17809)Time elapsed: 0.115 s
% 0.20/0.50 % (17809)Instructions burned: 5 (million)
% 0.20/0.50 % (17809)------------------------------
% 0.20/0.50 % (17809)------------------------------
% 0.20/0.50 % (17784)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)
% 0.20/0.50 % (17784)Instruction limit reached!
% 0.20/0.50 % (17784)------------------------------
% 0.20/0.50 % (17784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (17791)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)
% 0.20/0.50 % (17804)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)
% 0.20/0.50 % (17785)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)
% 0.20/0.50 % (17795)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)
% 0.20/0.50 % (17788)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)
% 0.20/0.51 % (17786)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)
% 0.20/0.51 % (17795)Instruction limit reached!
% 0.20/0.51 % (17795)------------------------------
% 0.20/0.51 % (17795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (17795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (17795)Termination reason: Unknown
% 0.20/0.51 % (17795)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (17795)Memory used [KB]: 5884
% 0.20/0.51 % (17795)Time elapsed: 0.003 s
% 0.20/0.51 % (17795)Instructions burned: 4 (million)
% 0.20/0.51 % (17795)------------------------------
% 0.20/0.51 % (17795)------------------------------
% 0.20/0.51 % (17792)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)
% 0.20/0.51 % (17784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (17784)Termination reason: Unknown
% 0.20/0.51 % (17784)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (17784)Memory used [KB]: 5884
% 0.20/0.51 % (17784)Time elapsed: 0.003 s
% 0.20/0.51 % (17784)Instructions burned: 4 (million)
% 0.20/0.51 % (17784)------------------------------
% 0.20/0.51 % (17784)------------------------------
% 0.20/0.51 % (17810)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)
% 0.20/0.52 % (17792)Instruction limit reached!
% 0.20/0.52 % (17792)------------------------------
% 0.20/0.52 % (17792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (17792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (17792)Termination reason: Unknown
% 0.20/0.52 % (17792)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (17792)Memory used [KB]: 5884
% 0.20/0.52 % (17792)Time elapsed: 0.096 s
% 0.20/0.52 % (17792)Instructions burned: 6 (million)
% 0.20/0.52 % (17792)------------------------------
% 0.20/0.52 % (17792)------------------------------
% 0.20/0.52 % (17800)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)
% 0.20/0.52 % (17787)Instruction limit reached!
% 0.20/0.52 % (17787)------------------------------
% 0.20/0.52 % (17787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (17787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (17787)Termination reason: Unknown
% 0.20/0.52 % (17787)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (17787)Memory used [KB]: 6268
% 0.20/0.52 % (17787)Time elapsed: 0.109 s
% 0.20/0.52 % (17787)Instructions burned: 26 (million)
% 0.20/0.52 % (17787)------------------------------
% 0.20/0.52 % (17787)------------------------------
% 0.20/0.52 % (17812)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)
% 0.20/0.52 % (17811)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)
% 0.20/0.52 % (17782)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)
% 0.20/0.52 % (17793)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)
% 0.20/0.53 % (17806)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)
% 0.20/0.53 % (17798)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)
% 0.20/0.53 % (17802)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)
% 0.20/0.53 % (17806)Refutation not found, incomplete strategy% (17806)------------------------------
% 0.20/0.53 % (17806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (17806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (17806)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (17806)Memory used [KB]: 5884
% 0.20/0.53 % (17806)Time elapsed: 0.105 s
% 0.20/0.53 % (17806)Instructions burned: 5 (million)
% 0.20/0.53 % (17806)------------------------------
% 0.20/0.53 % (17806)------------------------------
% 0.20/0.53 % (17802)Instruction limit reached!
% 0.20/0.53 % (17802)------------------------------
% 0.20/0.53 % (17802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (17802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (17802)Termination reason: Unknown
% 0.20/0.53 % (17802)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (17802)Memory used [KB]: 1407
% 0.20/0.53 % (17802)Time elapsed: 0.004 s
% 0.20/0.53 % (17802)Instructions burned: 8 (million)
% 0.20/0.53 % (17802)------------------------------
% 0.20/0.53 % (17802)------------------------------
% 0.20/0.53 % (17797)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)
% 0.20/0.53 % (17797)Instruction limit reached!
% 0.20/0.53 % (17797)------------------------------
% 0.20/0.53 % (17797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (17801)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)
% 0.20/0.53 % (17808)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)
% 0.20/0.54 % (17805)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)
% 0.20/0.54 % (17796)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)
% 0.20/0.54 % (17789)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)
% 0.20/0.54 % (17797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (17797)Termination reason: Unknown
% 0.20/0.54 % (17797)Termination phase: Finite model building preprocessing
% 0.20/0.54
% 0.20/0.54 % (17797)Memory used [KB]: 1407
% 0.20/0.54 % (17797)Time elapsed: 0.003 s
% 0.20/0.54 % (17797)Instructions burned: 6 (million)
% 0.20/0.54 % (17797)------------------------------
% 0.20/0.54 % (17797)------------------------------
% 0.20/0.54 % (17799)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54 % (17794)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)
% 0.20/0.54 % (17789)Refutation not found, incomplete strategy% (17789)------------------------------
% 0.20/0.54 % (17789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (17789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (17789)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (17789)Memory used [KB]: 6012
% 0.20/0.54 % (17789)Time elapsed: 0.149 s
% 0.20/0.54 % (17789)Instructions burned: 6 (million)
% 0.20/0.54 % (17789)------------------------------
% 0.20/0.54 % (17789)------------------------------
% 0.20/0.54 % (17794)Instruction limit reached!
% 0.20/0.54 % (17794)------------------------------
% 0.20/0.54 % (17794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (17799)Instruction limit reached!
% 0.20/0.54 % (17799)------------------------------
% 0.20/0.54 % (17799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (17799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (17799)Termination reason: Unknown
% 0.20/0.54 % (17799)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (17799)Memory used [KB]: 6012
% 0.20/0.54 % (17799)Time elapsed: 0.128 s
% 0.20/0.54 % (17799)Instructions burned: 9 (million)
% 0.20/0.54 % (17799)------------------------------
% 0.20/0.54 % (17799)------------------------------
% 0.20/0.54 % (17794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (17794)Termination reason: Unknown
% 0.20/0.54 % (17794)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (17794)Memory used [KB]: 6012
% 0.20/0.54 % (17794)Time elapsed: 0.149 s
% 0.20/0.54 % (17794)Instructions burned: 5 (million)
% 0.20/0.54 % (17794)------------------------------
% 0.20/0.54 % (17794)------------------------------
% 0.20/0.55 % (17798)Instruction limit reached!
% 0.20/0.55 % (17798)------------------------------
% 0.20/0.55 % (17798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (17798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (17798)Termination reason: Unknown
% 0.20/0.55 % (17798)Termination phase: Equality proxy
% 0.20/0.55
% 0.20/0.55 % (17798)Memory used [KB]: 1279
% 0.20/0.55 % (17798)Time elapsed: 0.002 s
% 0.20/0.55 % (17798)Instructions burned: 2 (million)
% 0.20/0.55 % (17798)------------------------------
% 0.20/0.55 % (17798)------------------------------
% 0.20/0.55 % (17801)Instruction limit reached!
% 0.20/0.55 % (17801)------------------------------
% 0.20/0.55 % (17801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (17801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (17801)Termination reason: Unknown
% 0.20/0.55 % (17801)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (17801)Memory used [KB]: 6012
% 0.20/0.55 % (17801)Time elapsed: 0.159 s
% 0.20/0.55 % (17801)Instructions burned: 7 (million)
% 0.20/0.55 % (17801)------------------------------
% 0.20/0.55 % (17801)------------------------------
% 0.20/0.55 % (17811)Instruction limit reached!
% 0.20/0.55 % (17811)------------------------------
% 0.20/0.55 % (17811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (17811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (17811)Termination reason: Unknown
% 0.20/0.55 % (17811)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (17811)Memory used [KB]: 6268
% 0.20/0.55 % (17811)Time elapsed: 0.162 s
% 0.20/0.55 % (17811)Instructions burned: 20 (million)
% 0.20/0.55 % (17811)------------------------------
% 0.20/0.55 % (17811)------------------------------
% 0.20/0.55 % (17786)Instruction limit reached!
% 0.20/0.55 % (17786)------------------------------
% 0.20/0.55 % (17786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (17786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (17786)Termination reason: Unknown
% 0.20/0.55 % (17786)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (17786)Memory used [KB]: 6652
% 0.20/0.55 % (17786)Time elapsed: 0.149 s
% 0.20/0.55 % (17786)Instructions burned: 35 (million)
% 0.20/0.55 % (17786)------------------------------
% 0.20/0.55 % (17786)------------------------------
% 0.20/0.56 % (17807)Instruction limit reached!
% 0.20/0.56 % (17807)------------------------------
% 0.20/0.56 % (17807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (17807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (17807)Termination reason: Unknown
% 0.20/0.56 % (17807)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (17807)Memory used [KB]: 6780
% 0.20/0.56 % (17807)Time elapsed: 0.178 s
% 0.20/0.56 % (17807)Instructions burned: 47 (million)
% 0.20/0.56 % (17807)------------------------------
% 0.20/0.56 % (17807)------------------------------
% 0.20/0.56 % (17793)Instruction limit reached!
% 0.20/0.56 % (17793)------------------------------
% 0.20/0.56 % (17793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (17793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (17793)Termination reason: Unknown
% 0.20/0.56 % (17793)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (17793)Memory used [KB]: 6268
% 0.20/0.56 % (17793)Time elapsed: 0.147 s
% 0.20/0.56 % (17793)Instructions burned: 23 (million)
% 0.20/0.56 % (17793)------------------------------
% 0.20/0.56 % (17793)------------------------------
% 0.20/0.56 % (17785)Instruction limit reached!
% 0.20/0.56 % (17785)------------------------------
% 0.20/0.56 % (17785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (17785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (17785)Termination reason: Unknown
% 0.20/0.56 % (17785)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (17785)Memory used [KB]: 6652
% 0.20/0.56 % (17785)Time elapsed: 0.151 s
% 0.20/0.56 % (17785)Instructions burned: 44 (million)
% 0.20/0.56 % (17785)------------------------------
% 0.20/0.56 % (17785)------------------------------
% 0.20/0.57 % (17800)Instruction limit reached!
% 0.20/0.57 % (17800)------------------------------
% 0.20/0.57 % (17800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (17800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (17800)Termination reason: Unknown
% 0.20/0.57 % (17800)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (17800)Memory used [KB]: 10746
% 0.20/0.57 % (17800)Time elapsed: 0.163 s
% 0.20/0.57 % (17800)Instructions burned: 29 (million)
% 0.20/0.57 % (17800)------------------------------
% 0.20/0.57 % (17800)------------------------------
% 0.20/0.57 % (17796)Instruction limit reached!
% 0.20/0.57 % (17796)------------------------------
% 0.20/0.57 % (17796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (17796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (17796)Termination reason: Unknown
% 0.20/0.57 % (17796)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (17796)Memory used [KB]: 1663
% 0.20/0.57 % (17796)Time elapsed: 0.172 s
% 0.20/0.57 % (17796)Instructions burned: 30 (million)
% 0.20/0.57 % (17796)------------------------------
% 0.20/0.57 % (17796)------------------------------
% 0.20/0.58 % (17804)Instruction limit reached!
% 0.20/0.58 % (17804)------------------------------
% 0.20/0.58 % (17804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (17804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (17804)Termination reason: Unknown
% 0.20/0.58 % (17804)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (17804)Memory used [KB]: 6908
% 0.20/0.58 % (17804)Time elapsed: 0.163 s
% 0.20/0.58 % (17804)Instructions burned: 68 (million)
% 0.20/0.58 % (17804)------------------------------
% 0.20/0.58 % (17804)------------------------------
% 0.20/0.58 % (17788)Instruction limit reached!
% 0.20/0.58 % (17788)------------------------------
% 0.20/0.58 % (17788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (17788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (17788)Termination reason: Unknown
% 0.20/0.58 % (17788)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (17788)Memory used [KB]: 1663
% 0.20/0.58 % (17788)Time elapsed: 0.186 s
% 0.20/0.58 % (17788)Instructions burned: 50 (million)
% 0.20/0.58 % (17788)------------------------------
% 0.20/0.58 % (17788)------------------------------
% 1.91/0.59 % (17791)Instruction limit reached!
% 1.91/0.59 % (17791)------------------------------
% 1.91/0.59 % (17791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.59 % (17791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.59 % (17791)Termination reason: Unknown
% 1.91/0.59 % (17791)Termination phase: Saturation
% 1.91/0.59
% 1.91/0.59 % (17791)Memory used [KB]: 6652
% 1.91/0.59 % (17791)Time elapsed: 0.185 s
% 1.91/0.59 % (17791)Instructions burned: 53 (million)
% 1.91/0.59 % (17791)------------------------------
% 1.91/0.59 % (17791)------------------------------
% 1.91/0.59 % (17782)Instruction limit reached!
% 1.91/0.59 % (17782)------------------------------
% 1.91/0.59 % (17782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.59 % (17782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.59 % (17782)Termination reason: Unknown
% 1.91/0.59 % (17782)Termination phase: Saturation
% 1.91/0.59
% 1.91/0.59 % (17782)Memory used [KB]: 1791
% 1.91/0.59 % (17782)Time elapsed: 0.194 s
% 1.91/0.59 % (17782)Instructions burned: 44 (million)
% 1.91/0.59 % (17782)------------------------------
% 1.91/0.59 % (17782)------------------------------
% 1.91/0.60 % (17810)Instruction limit reached!
% 1.91/0.60 % (17810)------------------------------
% 1.91/0.60 % (17810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.60 % (17810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.60 % (17810)Termination reason: Unknown
% 1.91/0.60 % (17810)Termination phase: Saturation
% 1.91/0.60
% 1.91/0.60 % (17810)Memory used [KB]: 1791
% 1.91/0.60 % (17810)Time elapsed: 0.185 s
% 1.91/0.60 % (17810)Instructions burned: 73 (million)
% 1.91/0.60 % (17810)------------------------------
% 1.91/0.60 % (17810)------------------------------
% 2.08/0.60 % (17781)First to succeed.
% 2.08/0.61 % (17781)Refutation found. Thanks to Tanya!
% 2.08/0.61 % SZS status Unsatisfiable for theBenchmark
% 2.08/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 2.08/0.61 % (17781)------------------------------
% 2.08/0.61 % (17781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.61 % (17781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.61 % (17781)Termination reason: Refutation
% 2.08/0.61
% 2.08/0.61 % (17781)Memory used [KB]: 7036
% 2.08/0.61 % (17781)Time elapsed: 0.207 s
% 2.08/0.61 % (17781)Instructions burned: 73 (million)
% 2.08/0.61 % (17781)------------------------------
% 2.08/0.61 % (17781)------------------------------
% 2.08/0.61 % (17778)Success in time 0.253 s
%------------------------------------------------------------------------------