TSTP Solution File: GRP312-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP312-1 : 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 : n020.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 16:15:18 EDT 2022
% Result : Unsatisfiable 2.47s 0.78s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 88
% Syntax : Number of formulae : 483 ( 37 unt; 0 def)
% Number of atoms : 2073 ( 656 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 3135 (1545 ~;1564 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 27 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 29 con; 0-2 aty)
% Number of variables : 137 ( 137 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4533,plain,
$false,
inference(avatar_sat_refutation,[],[f196,f210,f215,f225,f226,f228,f233,f234,f235,f241,f242,f243,f250,f251,f252,f257,f258,f260,f263,f264,f265,f266,f267,f270,f271,f273,f275,f277,f278,f280,f281,f282,f283,f284,f285,f286,f288,f301,f302,f303,f305,f310,f312,f547,f611,f630,f748,f874,f903,f987,f1022,f1083,f1201,f1220,f1239,f1258,f1470,f1608,f2056,f2142,f4159,f4170,f4184,f4282,f4299,f4489,f4532]) ).
fof(f4532,plain,
( ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_21
| ~ spl17_27
| ~ spl17_33 ),
inference(avatar_contradiction_clause,[],[f4531]) ).
fof(f4531,plain,
( $false
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_21
| ~ spl17_27
| ~ spl17_33 ),
inference(subsumption_resolution,[],[f4530,f4234]) ).
fof(f4234,plain,
( identity = inverse(identity)
| ~ spl17_27
| ~ spl17_33 ),
inference(forward_demodulation,[],[f604,f668]) ).
fof(f668,plain,
( identity = sk_c2
| ~ spl17_33 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f667,plain,
( spl17_33
<=> identity = sk_c2 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_33])]) ).
fof(f604,plain,
( identity = inverse(sk_c2)
| ~ spl17_27 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f603,plain,
( spl17_27
<=> identity = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_27])]) ).
fof(f4530,plain,
( identity != inverse(identity)
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_21
| ~ spl17_27
| ~ spl17_33 ),
inference(forward_demodulation,[],[f4526,f4234]) ).
fof(f4526,plain,
( identity != inverse(inverse(identity))
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_21 ),
inference(trivial_inequality_removal,[],[f4520]) ).
fof(f4520,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_21 ),
inference(superposition,[],[f4502,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f4502,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_21 ),
inference(forward_demodulation,[],[f4501,f4125]) ).
fof(f4125,plain,
( identity = sk_c11
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15 ),
inference(forward_demodulation,[],[f4124,f4096]) ).
fof(f4096,plain,
( identity = sk_c12
| ~ spl17_4
| ~ spl17_5
| ~ spl17_15 ),
inference(forward_demodulation,[],[f4094,f2]) ).
fof(f4094,plain,
( sk_c12 = multiply(inverse(sk_c11),sk_c11)
| ~ spl17_4
| ~ spl17_5
| ~ spl17_15 ),
inference(backward_demodulation,[],[f4083,f4088]) ).
fof(f4088,plain,
( sk_c11 = sk_c10
| ~ spl17_4
| ~ spl17_5
| ~ spl17_15 ),
inference(backward_demodulation,[],[f4087,f2992]) ).
fof(f2992,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl17_4
| ~ spl17_5 ),
inference(backward_demodulation,[],[f2986,f181]) ).
fof(f181,plain,
( sk_c12 = sF13
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl17_4
<=> sk_c12 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f2986,plain,
( sk_c11 = multiply(sk_c11,sF13)
| ~ spl17_5 ),
inference(forward_demodulation,[],[f398,f186]) ).
fof(f186,plain,
( sk_c11 = sF0
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl17_5
<=> sk_c11 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f398,plain,
sk_c11 = multiply(sF0,sF13),
inference(forward_demodulation,[],[f393,f77]) ).
fof(f77,plain,
inverse(sk_c3) = sF0,
introduced(function_definition,[]) ).
fof(f393,plain,
sk_c11 = multiply(inverse(sk_c3),sF13),
inference(superposition,[],[f351,f103]) ).
fof(f103,plain,
multiply(sk_c3,sk_c11) = sF13,
introduced(function_definition,[]) ).
fof(f351,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f336,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f336,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f4087,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| ~ spl17_15 ),
inference(forward_demodulation,[],[f92,f240]) ).
fof(f240,plain,
( sk_c10 = sF9
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f238,plain,
( spl17_15
<=> sk_c10 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_15])]) ).
fof(f92,plain,
multiply(sk_c11,sk_c12) = sF9,
introduced(function_definition,[]) ).
fof(f4083,plain,
( sk_c12 = multiply(inverse(sk_c11),sk_c10)
| ~ spl17_15 ),
inference(backward_demodulation,[],[f379,f240]) ).
fof(f379,plain,
sk_c12 = multiply(inverse(sk_c11),sF9),
inference(superposition,[],[f351,f92]) ).
fof(f4124,plain,
( sk_c11 = sk_c12
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15 ),
inference(forward_demodulation,[],[f4123,f1]) ).
fof(f4123,plain,
( sk_c12 = multiply(identity,sk_c11)
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15 ),
inference(forward_demodulation,[],[f3029,f4101]) ).
fof(f4101,plain,
( identity = sF2
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15 ),
inference(backward_demodulation,[],[f204,f4096]) ).
fof(f204,plain,
( sk_c12 = sF2
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f202,plain,
( spl17_9
<=> sk_c12 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
fof(f3029,plain,
( sk_c12 = multiply(sF2,sk_c11)
| ~ spl17_1 ),
inference(forward_demodulation,[],[f418,f168]) ).
fof(f168,plain,
( sk_c11 = sF4
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl17_1
<=> sk_c11 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f418,plain,
sk_c12 = multiply(sF2,sF4),
inference(forward_demodulation,[],[f391,f80]) ).
fof(f80,plain,
inverse(sk_c1) = sF2,
introduced(function_definition,[]) ).
fof(f391,plain,
sk_c12 = multiply(inverse(sk_c1),sF4),
inference(superposition,[],[f351,f84]) ).
fof(f84,plain,
multiply(sk_c1,sk_c12) = sF4,
introduced(function_definition,[]) ).
fof(f4501,plain,
( ! [X6] :
( sk_c11 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_15
| ~ spl17_21 ),
inference(forward_demodulation,[],[f4500,f4096]) ).
fof(f4500,plain,
( ! [X6] :
( sk_c11 != multiply(X6,sk_c12)
| identity != inverse(X6) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_15
| ~ spl17_21 ),
inference(forward_demodulation,[],[f300,f4096]) ).
fof(f300,plain,
( ! [X6] :
( sk_c12 != inverse(X6)
| sk_c11 != multiply(X6,sk_c12) )
| ~ spl17_21 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f299,plain,
( spl17_21
<=> ! [X6] :
( sk_c12 != inverse(X6)
| sk_c11 != multiply(X6,sk_c12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_21])]) ).
fof(f4489,plain,
( ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_20
| ~ spl17_27
| ~ spl17_33 ),
inference(avatar_contradiction_clause,[],[f4488]) ).
fof(f4488,plain,
( $false
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_20
| ~ spl17_27
| ~ spl17_33 ),
inference(subsumption_resolution,[],[f4487,f4234]) ).
fof(f4487,plain,
( identity != inverse(identity)
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_20
| ~ spl17_27
| ~ spl17_33 ),
inference(forward_demodulation,[],[f4483,f4234]) ).
fof(f4483,plain,
( identity != inverse(inverse(identity))
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_20
| ~ spl17_27
| ~ spl17_33 ),
inference(trivial_inequality_removal,[],[f4476]) ).
fof(f4476,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_20
| ~ spl17_27
| ~ spl17_33 ),
inference(superposition,[],[f4343,f2]) ).
fof(f4343,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_20
| ~ spl17_27
| ~ spl17_33 ),
inference(forward_demodulation,[],[f4342,f4234]) ).
fof(f4342,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(X0,identity) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_20
| ~ spl17_27
| ~ spl17_33 ),
inference(subsumption_resolution,[],[f4341,f4234]) ).
fof(f4341,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != inverse(identity)
| identity != multiply(X0,identity) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_20
| ~ spl17_27
| ~ spl17_33 ),
inference(forward_demodulation,[],[f4340,f4234]) ).
fof(f4340,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| inverse(identity) != inverse(inverse(identity))
| inverse(X0) != inverse(identity) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_20
| ~ spl17_27
| ~ spl17_33 ),
inference(forward_demodulation,[],[f4339,f4234]) ).
fof(f4339,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| inverse(identity) != inverse(inverse(identity))
| inverse(X0) != inverse(identity) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_20
| ~ spl17_27
| ~ spl17_33 ),
inference(forward_demodulation,[],[f4338,f4234]) ).
fof(f4338,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| inverse(X0) != inverse(identity)
| inverse(identity) != inverse(inverse(identity)) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_20
| ~ spl17_27
| ~ spl17_33 ),
inference(forward_demodulation,[],[f4337,f4234]) ).
fof(f4337,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| inverse(identity) != inverse(inverse(identity))
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_20 ),
inference(subsumption_resolution,[],[f4308,f377]) ).
fof(f377,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f351,f2]) ).
fof(f4308,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| inverse(identity) != inverse(inverse(identity))
| identity != multiply(X0,inverse(inverse(identity)))
| identity != multiply(inverse(inverse(identity)),identity) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_20 ),
inference(superposition,[],[f4302,f1]) ).
fof(f4302,plain,
( ! [X10,X8] :
( inverse(X10) != multiply(X10,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10))
| identity != multiply(X8,inverse(inverse(X10)))
| identity != multiply(inverse(inverse(X10)),identity) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_20 ),
inference(forward_demodulation,[],[f4301,f4096]) ).
fof(f4301,plain,
( ! [X10,X8] :
( identity != multiply(X8,inverse(inverse(X10)))
| sk_c12 != multiply(inverse(inverse(X10)),identity)
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10)) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_20 ),
inference(forward_demodulation,[],[f4300,f4096]) ).
fof(f4300,plain,
( ! [X10,X8] :
( sk_c12 != multiply(X8,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10))
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| sk_c12 != multiply(inverse(inverse(X10)),identity) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_20 ),
inference(forward_demodulation,[],[f297,f4125]) ).
fof(f297,plain,
( ! [X10,X8] :
( sk_c12 != multiply(inverse(inverse(X10)),sk_c11)
| inverse(X8) != inverse(inverse(X10))
| sk_c12 != multiply(X8,inverse(inverse(X10)))
| inverse(X10) != multiply(X10,inverse(inverse(X10))) )
| ~ spl17_20 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f296,plain,
( spl17_20
<=> ! [X8,X10] :
( sk_c12 != multiply(inverse(inverse(X10)),sk_c11)
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10))
| sk_c12 != multiply(X8,inverse(inverse(X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_20])]) ).
fof(f4299,plain,
( ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_19
| ~ spl17_27
| ~ spl17_33 ),
inference(avatar_contradiction_clause,[],[f4298]) ).
fof(f4298,plain,
( $false
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_19
| ~ spl17_27
| ~ spl17_33 ),
inference(subsumption_resolution,[],[f4297,f4234]) ).
fof(f4297,plain,
( identity != inverse(identity)
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_19
| ~ spl17_27
| ~ spl17_33 ),
inference(forward_demodulation,[],[f4292,f4234]) ).
fof(f4292,plain,
( identity != inverse(inverse(identity))
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_19 ),
inference(trivial_inequality_removal,[],[f4288]) ).
fof(f4288,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_19 ),
inference(superposition,[],[f4285,f2]) ).
fof(f4285,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_19 ),
inference(forward_demodulation,[],[f4284,f4125]) ).
fof(f4284,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_19 ),
inference(forward_demodulation,[],[f4283,f4096]) ).
fof(f4283,plain,
( ! [X5] :
( sk_c12 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_19 ),
inference(forward_demodulation,[],[f294,f4125]) ).
fof(f294,plain,
( ! [X5] :
( sk_c12 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) )
| ~ spl17_19 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl17_19
<=> ! [X5] :
( sk_c12 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_19])]) ).
fof(f4282,plain,
( ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_18
| ~ spl17_27
| ~ spl17_33 ),
inference(avatar_contradiction_clause,[],[f4281]) ).
fof(f4281,plain,
( $false
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_18
| ~ spl17_27
| ~ spl17_33 ),
inference(subsumption_resolution,[],[f4280,f4234]) ).
fof(f4280,plain,
( identity != inverse(identity)
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_18
| ~ spl17_27
| ~ spl17_33 ),
inference(forward_demodulation,[],[f4275,f4234]) ).
fof(f4275,plain,
( identity != inverse(inverse(identity))
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_18 ),
inference(trivial_inequality_removal,[],[f4271]) ).
fof(f4271,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_18 ),
inference(superposition,[],[f4148,f2]) ).
fof(f4148,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_18 ),
inference(forward_demodulation,[],[f4136,f4125]) ).
fof(f4136,plain,
( ! [X4] :
( sk_c11 != multiply(X4,sk_c11)
| identity != inverse(X4) )
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| ~ spl17_18 ),
inference(backward_demodulation,[],[f4091,f4125]) ).
fof(f4091,plain,
( ! [X4] :
( sk_c11 != inverse(X4)
| sk_c11 != multiply(X4,sk_c11) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_15
| ~ spl17_18 ),
inference(backward_demodulation,[],[f291,f4088]) ).
fof(f291,plain,
( ! [X4] :
( sk_c11 != inverse(X4)
| sk_c10 != multiply(X4,sk_c11) )
| ~ spl17_18 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f290,plain,
( spl17_18
<=> ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_18])]) ).
fof(f4184,plain,
( ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_9
| ~ spl17_15
| spl17_17 ),
inference(avatar_contradiction_clause,[],[f4183]) ).
fof(f4183,plain,
( $false
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_9
| ~ spl17_15
| spl17_17 ),
inference(subsumption_resolution,[],[f4182,f4128]) ).
fof(f4128,plain,
( identity != sF3
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_9
| ~ spl17_15
| spl17_17 ),
inference(backward_demodulation,[],[f255,f4125]) ).
fof(f255,plain,
( sk_c11 != sF3
| spl17_17 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f254,plain,
( spl17_17
<=> sk_c11 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_17])]) ).
fof(f4182,plain,
( identity = sF3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_15 ),
inference(forward_demodulation,[],[f4178,f1]) ).
fof(f4178,plain,
( sF3 = multiply(identity,identity)
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_15 ),
inference(backward_demodulation,[],[f4097,f4177]) ).
fof(f4177,plain,
( identity = sk_c4
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_15 ),
inference(forward_demodulation,[],[f4176,f2]) ).
fof(f4176,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_15 ),
inference(forward_demodulation,[],[f381,f4096]) ).
fof(f381,plain,
( sk_c4 = multiply(inverse(sk_c12),identity)
| ~ spl17_7 ),
inference(superposition,[],[f351,f326]) ).
fof(f326,plain,
( identity = multiply(sk_c12,sk_c4)
| ~ spl17_7 ),
inference(superposition,[],[f2,f321]) ).
fof(f321,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl17_7 ),
inference(backward_demodulation,[],[f85,f195]) ).
fof(f195,plain,
( sk_c12 = sF5
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl17_7
<=> sk_c12 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f85,plain,
inverse(sk_c4) = sF5,
introduced(function_definition,[]) ).
fof(f4097,plain,
( sF3 = multiply(sk_c4,identity)
| ~ spl17_4
| ~ spl17_5
| ~ spl17_15 ),
inference(backward_demodulation,[],[f82,f4096]) ).
fof(f82,plain,
multiply(sk_c4,sk_c12) = sF3,
introduced(function_definition,[]) ).
fof(f4170,plain,
( spl17_27
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_6
| ~ spl17_9
| ~ spl17_15 ),
inference(avatar_split_clause,[],[f4169,f238,f202,f189,f184,f179,f166,f603]) ).
fof(f189,plain,
( spl17_6
<=> sk_c11 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f4169,plain,
( identity = inverse(sk_c2)
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_6
| ~ spl17_9
| ~ spl17_15 ),
inference(forward_demodulation,[],[f94,f4126]) ).
fof(f4126,plain,
( identity = sF10
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_6
| ~ spl17_9
| ~ spl17_15 ),
inference(backward_demodulation,[],[f191,f4125]) ).
fof(f191,plain,
( sk_c11 = sF10
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f94,plain,
inverse(sk_c2) = sF10,
introduced(function_definition,[]) ).
fof(f4159,plain,
( spl17_33
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_6
| ~ spl17_9
| ~ spl17_15 ),
inference(avatar_split_clause,[],[f4158,f238,f202,f189,f184,f179,f166,f667]) ).
fof(f4158,plain,
( identity = sk_c2
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_6
| ~ spl17_9
| ~ spl17_15 ),
inference(forward_demodulation,[],[f4157,f2]) ).
fof(f4157,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl17_1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_6
| ~ spl17_9
| ~ spl17_15 ),
inference(forward_demodulation,[],[f396,f4126]) ).
fof(f396,plain,
sk_c2 = multiply(inverse(sF10),identity),
inference(superposition,[],[f351,f332]) ).
fof(f332,plain,
identity = multiply(sF10,sk_c2),
inference(superposition,[],[f2,f94]) ).
fof(f2142,plain,
( ~ spl17_7
| ~ spl17_13
| ~ spl17_14
| ~ spl17_15
| ~ spl17_17
| ~ spl17_21 ),
inference(avatar_contradiction_clause,[],[f2141]) ).
fof(f2141,plain,
( $false
| ~ spl17_7
| ~ spl17_13
| ~ spl17_14
| ~ spl17_15
| ~ spl17_17
| ~ spl17_21 ),
inference(subsumption_resolution,[],[f1283,f2042]) ).
fof(f2042,plain,
( identity != inverse(identity)
| ~ spl17_7
| ~ spl17_13
| ~ spl17_14
| ~ spl17_15
| ~ spl17_17
| ~ spl17_21 ),
inference(trivial_inequality_removal,[],[f2037]) ).
fof(f2037,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl17_7
| ~ spl17_13
| ~ spl17_14
| ~ spl17_15
| ~ spl17_17
| ~ spl17_21 ),
inference(superposition,[],[f1917,f1]) ).
fof(f1917,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl17_7
| ~ spl17_13
| ~ spl17_14
| ~ spl17_15
| ~ spl17_17
| ~ spl17_21 ),
inference(forward_demodulation,[],[f1909,f1606]) ).
fof(f1606,plain,
( identity = sk_c12
| ~ spl17_7
| ~ spl17_13
| ~ spl17_14
| ~ spl17_15
| ~ spl17_17 ),
inference(forward_demodulation,[],[f456,f1604]) ).
fof(f1604,plain,
( identity = sF9
| ~ spl17_7
| ~ spl17_13
| ~ spl17_14
| ~ spl17_15
| ~ spl17_17 ),
inference(forward_demodulation,[],[f240,f1445]) ).
fof(f1445,plain,
( identity = sk_c10
| ~ spl17_7
| ~ spl17_13
| ~ spl17_14
| ~ spl17_17 ),
inference(forward_demodulation,[],[f1444,f1]) ).
fof(f1444,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl17_7
| ~ spl17_13
| ~ spl17_14
| ~ spl17_17 ),
inference(forward_demodulation,[],[f439,f1281]) ).
fof(f1281,plain,
( identity = sk_c5
| ~ spl17_7
| ~ spl17_13
| ~ spl17_17 ),
inference(forward_demodulation,[],[f1276,f2]) ).
fof(f1276,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl17_7
| ~ spl17_13
| ~ spl17_17 ),
inference(backward_demodulation,[],[f1066,f1270]) ).
fof(f1270,plain,
( identity = sF14
| ~ spl17_7
| ~ spl17_13
| ~ spl17_17 ),
inference(forward_demodulation,[],[f224,f431]) ).
fof(f431,plain,
( identity = sk_c11
| ~ spl17_7
| ~ spl17_17 ),
inference(forward_demodulation,[],[f429,f2]) ).
fof(f429,plain,
( sk_c11 = multiply(inverse(sk_c12),sk_c12)
| ~ spl17_7
| ~ spl17_17 ),
inference(superposition,[],[f351,f400]) ).
fof(f400,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl17_7
| ~ spl17_17 ),
inference(forward_demodulation,[],[f382,f321]) ).
fof(f382,plain,
( sk_c12 = multiply(inverse(sk_c4),sk_c11)
| ~ spl17_17 ),
inference(superposition,[],[f351,f316]) ).
fof(f316,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| ~ spl17_17 ),
inference(backward_demodulation,[],[f82,f256]) ).
fof(f256,plain,
( sk_c11 = sF3
| ~ spl17_17 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f224,plain,
( sk_c11 = sF14
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl17_13
<=> sk_c11 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).
fof(f1066,plain,
sk_c5 = multiply(inverse(sF14),identity),
inference(superposition,[],[f351,f1030]) ).
fof(f1030,plain,
identity = multiply(sF14,sk_c5),
inference(superposition,[],[f2,f106]) ).
fof(f106,plain,
inverse(sk_c5) = sF14,
introduced(function_definition,[]) ).
fof(f439,plain,
( sk_c10 = multiply(sk_c5,identity)
| ~ spl17_7
| ~ spl17_14
| ~ spl17_17 ),
inference(backward_demodulation,[],[f318,f431]) ).
fof(f318,plain,
( sk_c10 = multiply(sk_c5,sk_c11)
| ~ spl17_14 ),
inference(backward_demodulation,[],[f108,f232]) ).
fof(f232,plain,
( sk_c10 = sF15
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f230,plain,
( spl17_14
<=> sk_c10 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).
fof(f108,plain,
multiply(sk_c5,sk_c11) = sF15,
introduced(function_definition,[]) ).
fof(f456,plain,
( sk_c12 = sF9
| ~ spl17_7
| ~ spl17_17 ),
inference(forward_demodulation,[],[f432,f1]) ).
fof(f432,plain,
( multiply(identity,sk_c12) = sF9
| ~ spl17_7
| ~ spl17_17 ),
inference(backward_demodulation,[],[f92,f431]) ).
fof(f1909,plain,
( ! [X6] :
( identity != inverse(X6)
| identity != multiply(X6,sk_c12) )
| ~ spl17_7
| ~ spl17_13
| ~ spl17_14
| ~ spl17_15
| ~ spl17_17
| ~ spl17_21 ),
inference(backward_demodulation,[],[f1612,f1606]) ).
fof(f1612,plain,
( ! [X6] :
( sk_c12 != inverse(X6)
| identity != multiply(X6,sk_c12) )
| ~ spl17_7
| ~ spl17_17
| ~ spl17_21 ),
inference(forward_demodulation,[],[f300,f431]) ).
fof(f1283,plain,
( identity = inverse(identity)
| ~ spl17_7
| ~ spl17_13
| ~ spl17_17 ),
inference(backward_demodulation,[],[f1271,f1281]) ).
fof(f1271,plain,
( identity = inverse(sk_c5)
| ~ spl17_7
| ~ spl17_13
| ~ spl17_17 ),
inference(backward_demodulation,[],[f106,f1270]) ).
fof(f2056,plain,
( spl17_24
| ~ spl17_7
| ~ spl17_17
| ~ spl17_29 ),
inference(avatar_split_clause,[],[f2053,f650,f254,f193,f590]) ).
fof(f590,plain,
( spl17_24
<=> identity = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_24])]) ).
fof(f650,plain,
( spl17_29
<=> identity = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_29])]) ).
fof(f2053,plain,
( identity = sF13
| ~ spl17_7
| ~ spl17_17
| ~ spl17_29 ),
inference(backward_demodulation,[],[f727,f651]) ).
fof(f651,plain,
( identity = sk_c3
| ~ spl17_29 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f727,plain,
( sk_c3 = sF13
| ~ spl17_7
| ~ spl17_17 ),
inference(forward_demodulation,[],[f723,f394]) ).
fof(f394,plain,
sk_c3 = multiply(inverse(sF0),identity),
inference(superposition,[],[f351,f333]) ).
fof(f333,plain,
identity = multiply(sF0,sk_c3),
inference(superposition,[],[f2,f77]) ).
fof(f723,plain,
( multiply(inverse(sF0),identity) = sF13
| ~ spl17_7
| ~ spl17_17 ),
inference(superposition,[],[f351,f452]) ).
fof(f452,plain,
( identity = multiply(sF0,sF13)
| ~ spl17_7
| ~ spl17_17 ),
inference(backward_demodulation,[],[f398,f431]) ).
fof(f1608,plain,
( spl17_4
| ~ spl17_7
| ~ spl17_13
| ~ spl17_14
| ~ spl17_15
| ~ spl17_17
| ~ spl17_24 ),
inference(avatar_contradiction_clause,[],[f1607]) ).
fof(f1607,plain,
( $false
| spl17_4
| ~ spl17_7
| ~ spl17_13
| ~ spl17_14
| ~ spl17_15
| ~ spl17_17
| ~ spl17_24 ),
inference(subsumption_resolution,[],[f1606,f1517]) ).
fof(f1517,plain,
( identity != sk_c12
| spl17_4
| ~ spl17_24 ),
inference(forward_demodulation,[],[f180,f591]) ).
fof(f591,plain,
( identity = sF13
| ~ spl17_24 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f180,plain,
( sk_c12 != sF13
| spl17_4 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f1470,plain,
( spl17_29
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17 ),
inference(avatar_split_clause,[],[f1342,f254,f193,f184,f650]) ).
fof(f1342,plain,
( identity = sk_c3
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17 ),
inference(forward_demodulation,[],[f1341,f2]) ).
fof(f1341,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17 ),
inference(forward_demodulation,[],[f394,f772]) ).
fof(f772,plain,
( identity = sF0
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17 ),
inference(forward_demodulation,[],[f186,f431]) ).
fof(f1258,plain,
( ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_21
| ~ spl17_27
| ~ spl17_33 ),
inference(avatar_contradiction_clause,[],[f1257]) ).
fof(f1257,plain,
( $false
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_21
| ~ spl17_27
| ~ spl17_33 ),
inference(subsumption_resolution,[],[f1256,f907]) ).
fof(f907,plain,
( identity = inverse(identity)
| ~ spl17_27
| ~ spl17_33 ),
inference(backward_demodulation,[],[f604,f668]) ).
fof(f1256,plain,
( identity != inverse(identity)
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_21
| ~ spl17_27
| ~ spl17_33 ),
inference(forward_demodulation,[],[f1249,f907]) ).
fof(f1249,plain,
( identity != inverse(inverse(identity))
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_21 ),
inference(trivial_inequality_removal,[],[f1245]) ).
fof(f1245,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_21 ),
inference(superposition,[],[f1242,f2]) ).
fof(f1242,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_21 ),
inference(forward_demodulation,[],[f1241,f431]) ).
fof(f1241,plain,
( ! [X6] :
( sk_c11 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_21 ),
inference(forward_demodulation,[],[f1240,f779]) ).
fof(f779,plain,
( identity = sk_c12
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17 ),
inference(forward_demodulation,[],[f776,f2]) ).
fof(f776,plain,
( sk_c12 = multiply(inverse(identity),identity)
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17 ),
inference(backward_demodulation,[],[f759,f772]) ).
fof(f759,plain,
( sk_c12 = multiply(inverse(sF0),identity)
| ~ spl17_4
| ~ spl17_7
| ~ spl17_17 ),
inference(backward_demodulation,[],[f394,f755]) ).
fof(f755,plain,
( sk_c12 = sk_c3
| ~ spl17_4
| ~ spl17_7
| ~ spl17_17 ),
inference(backward_demodulation,[],[f727,f181]) ).
fof(f1240,plain,
( ! [X6] :
( sk_c11 != multiply(X6,sk_c12)
| identity != inverse(X6) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_21 ),
inference(forward_demodulation,[],[f300,f779]) ).
fof(f1239,plain,
( ~ spl17_7
| ~ spl17_10
| ~ spl17_17
| ~ spl17_18
| ~ spl17_27
| ~ spl17_33 ),
inference(avatar_contradiction_clause,[],[f1238]) ).
fof(f1238,plain,
( $false
| ~ spl17_7
| ~ spl17_10
| ~ spl17_17
| ~ spl17_18
| ~ spl17_27
| ~ spl17_33 ),
inference(subsumption_resolution,[],[f1237,f907]) ).
fof(f1237,plain,
( identity != inverse(identity)
| ~ spl17_7
| ~ spl17_10
| ~ spl17_17
| ~ spl17_18
| ~ spl17_27
| ~ spl17_33 ),
inference(forward_demodulation,[],[f1230,f907]) ).
fof(f1230,plain,
( identity != inverse(inverse(identity))
| ~ spl17_7
| ~ spl17_10
| ~ spl17_17
| ~ spl17_18
| ~ spl17_33 ),
inference(trivial_inequality_removal,[],[f1226]) ).
fof(f1226,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl17_7
| ~ spl17_10
| ~ spl17_17
| ~ spl17_18
| ~ spl17_33 ),
inference(superposition,[],[f1223,f2]) ).
fof(f1223,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl17_7
| ~ spl17_10
| ~ spl17_17
| ~ spl17_18
| ~ spl17_33 ),
inference(forward_demodulation,[],[f1222,f976]) ).
fof(f976,plain,
( identity = sk_c10
| ~ spl17_7
| ~ spl17_10
| ~ spl17_17
| ~ spl17_33 ),
inference(forward_demodulation,[],[f975,f1]) ).
fof(f975,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl17_7
| ~ spl17_10
| ~ spl17_17
| ~ spl17_33 ),
inference(forward_demodulation,[],[f852,f668]) ).
fof(f852,plain,
( sk_c10 = multiply(sk_c2,identity)
| ~ spl17_7
| ~ spl17_10
| ~ spl17_17 ),
inference(backward_demodulation,[],[f433,f209]) ).
fof(f209,plain,
( sk_c10 = sF11
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f207,plain,
( spl17_10
<=> sk_c10 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
fof(f433,plain,
( sF11 = multiply(sk_c2,identity)
| ~ spl17_7
| ~ spl17_17 ),
inference(backward_demodulation,[],[f97,f431]) ).
fof(f97,plain,
multiply(sk_c2,sk_c11) = sF11,
introduced(function_definition,[]) ).
fof(f1222,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c10 != multiply(X4,identity) )
| ~ spl17_7
| ~ spl17_17
| ~ spl17_18 ),
inference(forward_demodulation,[],[f1221,f431]) ).
fof(f1221,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| identity != inverse(X4) )
| ~ spl17_7
| ~ spl17_17
| ~ spl17_18 ),
inference(forward_demodulation,[],[f291,f431]) ).
fof(f1220,plain,
( ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_19
| ~ spl17_27
| ~ spl17_33 ),
inference(avatar_contradiction_clause,[],[f1219]) ).
fof(f1219,plain,
( $false
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_19
| ~ spl17_27
| ~ spl17_33 ),
inference(subsumption_resolution,[],[f1218,f907]) ).
fof(f1218,plain,
( identity != inverse(identity)
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_19
| ~ spl17_27
| ~ spl17_33 ),
inference(forward_demodulation,[],[f1212,f907]) ).
fof(f1212,plain,
( identity != inverse(inverse(identity))
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_19 ),
inference(trivial_inequality_removal,[],[f1207]) ).
fof(f1207,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_19 ),
inference(superposition,[],[f1204,f2]) ).
fof(f1204,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_19 ),
inference(forward_demodulation,[],[f1203,f431]) ).
fof(f1203,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_19 ),
inference(forward_demodulation,[],[f1202,f779]) ).
fof(f1202,plain,
( ! [X5] :
( sk_c12 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl17_7
| ~ spl17_17
| ~ spl17_19 ),
inference(forward_demodulation,[],[f294,f431]) ).
fof(f1201,plain,
( ~ spl17_27
| ~ spl17_33
| ~ spl17_44 ),
inference(avatar_contradiction_clause,[],[f1200]) ).
fof(f1200,plain,
( $false
| ~ spl17_27
| ~ spl17_33
| ~ spl17_44 ),
inference(subsumption_resolution,[],[f1199,f907]) ).
fof(f1199,plain,
( identity != inverse(identity)
| ~ spl17_27
| ~ spl17_33
| ~ spl17_44 ),
inference(forward_demodulation,[],[f1192,f907]) ).
fof(f1192,plain,
( identity != inverse(inverse(identity))
| ~ spl17_27
| ~ spl17_33
| ~ spl17_44 ),
inference(trivial_inequality_removal,[],[f1188]) ).
fof(f1188,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl17_27
| ~ spl17_33
| ~ spl17_44 ),
inference(superposition,[],[f1027,f2]) ).
fof(f1027,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl17_27
| ~ spl17_33
| ~ spl17_44 ),
inference(forward_demodulation,[],[f1026,f907]) ).
fof(f1026,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(X0,inverse(identity)) )
| ~ spl17_27
| ~ spl17_33
| ~ spl17_44 ),
inference(forward_demodulation,[],[f1025,f907]) ).
fof(f1025,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl17_27
| ~ spl17_33
| ~ spl17_44 ),
inference(forward_demodulation,[],[f1024,f907]) ).
fof(f1024,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl17_27
| ~ spl17_33
| ~ spl17_44 ),
inference(forward_demodulation,[],[f982,f907]) ).
fof(f982,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl17_44 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f981,plain,
( spl17_44
<=> ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(inverse(identity))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_44])]) ).
fof(f1083,plain,
( ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_12
| spl17_16
| ~ spl17_17
| ~ spl17_27
| ~ spl17_33 ),
inference(avatar_contradiction_clause,[],[f1082]) ).
fof(f1082,plain,
( $false
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_12
| spl17_16
| ~ spl17_17
| ~ spl17_27
| ~ spl17_33 ),
inference(subsumption_resolution,[],[f1081,f993]) ).
fof(f993,plain,
( identity != sF1
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_12
| spl17_16
| ~ spl17_17 ),
inference(forward_demodulation,[],[f248,f974]) ).
fof(f974,plain,
( identity = sk_c9
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_12
| ~ spl17_17 ),
inference(forward_demodulation,[],[f787,f915]) ).
fof(f915,plain,
( ! [X0] : multiply(sF1,X0) = X0
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_12
| ~ spl17_17 ),
inference(forward_demodulation,[],[f913,f829]) ).
fof(f829,plain,
( ! [X13] : multiply(sk_c6,X13) = X13
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_12
| ~ spl17_17 ),
inference(forward_demodulation,[],[f828,f1]) ).
fof(f828,plain,
( ! [X13] : multiply(identity,X13) = multiply(sk_c6,multiply(identity,X13))
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_12
| ~ spl17_17 ),
inference(forward_demodulation,[],[f471,f779]) ).
fof(f471,plain,
( ! [X13] : multiply(sk_c12,X13) = multiply(sk_c6,multiply(sk_c12,X13))
| ~ spl17_3
| ~ spl17_7
| ~ spl17_12
| ~ spl17_17 ),
inference(backward_demodulation,[],[f342,f469]) ).
fof(f469,plain,
( ! [X14] : multiply(sk_c12,X14) = multiply(sk_c9,X14)
| ~ spl17_7
| ~ spl17_12
| ~ spl17_17 ),
inference(forward_demodulation,[],[f445,f1]) ).
fof(f445,plain,
( ! [X14] : multiply(sk_c12,X14) = multiply(sk_c9,multiply(identity,X14))
| ~ spl17_7
| ~ spl17_12
| ~ spl17_17 ),
inference(backward_demodulation,[],[f343,f431]) ).
fof(f343,plain,
( ! [X14] : multiply(sk_c9,multiply(sk_c11,X14)) = multiply(sk_c12,X14)
| ~ spl17_12 ),
inference(superposition,[],[f3,f319]) ).
fof(f319,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| ~ spl17_12 ),
inference(backward_demodulation,[],[f100,f219]) ).
fof(f219,plain,
( sk_c12 = sF12
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f217,plain,
( spl17_12
<=> sk_c12 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
fof(f100,plain,
multiply(sk_c9,sk_c11) = sF12,
introduced(function_definition,[]) ).
fof(f342,plain,
( ! [X13] : multiply(sk_c6,multiply(sk_c9,X13)) = multiply(sk_c12,X13)
| ~ spl17_3 ),
inference(superposition,[],[f3,f324]) ).
fof(f324,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| ~ spl17_3 ),
inference(backward_demodulation,[],[f121,f177]) ).
fof(f177,plain,
( sk_c12 = sF16
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl17_3
<=> sk_c12 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f121,plain,
multiply(sk_c6,sk_c9) = sF16,
introduced(function_definition,[]) ).
fof(f913,plain,
! [X0] : multiply(sF1,multiply(sk_c6,X0)) = X0,
inference(superposition,[],[f351,f78]) ).
fof(f78,plain,
inverse(sk_c6) = sF1,
introduced(function_definition,[]) ).
fof(f787,plain,
( sk_c9 = multiply(sF1,identity)
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17 ),
inference(backward_demodulation,[],[f754,f779]) ).
fof(f754,plain,
( sk_c9 = multiply(sF1,sk_c12)
| ~ spl17_3 ),
inference(backward_demodulation,[],[f384,f78]) ).
fof(f384,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c12)
| ~ spl17_3 ),
inference(superposition,[],[f351,f324]) ).
fof(f248,plain,
( sk_c9 != sF1
| spl17_16 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl17_16
<=> sk_c9 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_16])]) ).
fof(f1081,plain,
( identity = sF1
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_12
| ~ spl17_17
| ~ spl17_27
| ~ spl17_33 ),
inference(forward_demodulation,[],[f1080,f907]) ).
fof(f1080,plain,
( inverse(identity) = sF1
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_12
| ~ spl17_17 ),
inference(backward_demodulation,[],[f78,f1077]) ).
fof(f1077,plain,
( identity = sk_c6
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_12
| ~ spl17_17 ),
inference(backward_demodulation,[],[f954,f1074]) ).
fof(f1074,plain,
( ! [X0] : multiply(inverse(sF1),X0) = X0
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_12
| ~ spl17_17 ),
inference(superposition,[],[f351,f915]) ).
fof(f954,plain,
sk_c6 = multiply(inverse(sF1),identity),
inference(superposition,[],[f351,f914]) ).
fof(f914,plain,
identity = multiply(sF1,sk_c6),
inference(superposition,[],[f2,f78]) ).
fof(f1022,plain,
( ~ spl17_27
| ~ spl17_33
| spl17_45 ),
inference(avatar_contradiction_clause,[],[f1021]) ).
fof(f1021,plain,
( $false
| ~ spl17_27
| ~ spl17_33
| spl17_45 ),
inference(subsumption_resolution,[],[f1020,f907]) ).
fof(f1020,plain,
( identity != inverse(identity)
| ~ spl17_27
| ~ spl17_33
| spl17_45 ),
inference(forward_demodulation,[],[f986,f907]) ).
fof(f986,plain,
( inverse(identity) != inverse(inverse(identity))
| spl17_45 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f984,plain,
( spl17_45
<=> inverse(identity) = inverse(inverse(identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_45])]) ).
fof(f987,plain,
( spl17_44
| ~ spl17_45
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_20 ),
inference(avatar_split_clause,[],[f928,f296,f254,f193,f184,f179,f984,f981]) ).
fof(f928,plain,
( ! [X0] :
( inverse(identity) != inverse(inverse(identity))
| inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_20 ),
inference(subsumption_resolution,[],[f921,f377]) ).
fof(f921,plain,
( ! [X0] :
( identity != multiply(inverse(inverse(identity)),identity)
| inverse(X0) != inverse(inverse(identity))
| inverse(identity) != inverse(inverse(identity))
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_20 ),
inference(superposition,[],[f846,f1]) ).
fof(f846,plain,
( ! [X10,X8] :
( inverse(X10) != multiply(X10,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10))
| identity != multiply(inverse(inverse(X10)),identity)
| identity != multiply(X8,inverse(inverse(X10))) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f845,f779]) ).
fof(f845,plain,
( ! [X10,X8] :
( inverse(X8) != inverse(inverse(X10))
| sk_c12 != multiply(X8,inverse(inverse(X10)))
| identity != multiply(inverse(inverse(X10)),identity)
| inverse(X10) != multiply(X10,inverse(inverse(X10))) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_7
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f844,f779]) ).
fof(f844,plain,
( ! [X10,X8] :
( inverse(X10) != multiply(X10,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10))
| sk_c12 != multiply(inverse(inverse(X10)),identity)
| sk_c12 != multiply(X8,inverse(inverse(X10))) )
| ~ spl17_7
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f297,f431]) ).
fof(f903,plain,
( spl17_33
| ~ spl17_6
| ~ spl17_7
| ~ spl17_17 ),
inference(avatar_split_clause,[],[f875,f254,f193,f189,f667]) ).
fof(f875,plain,
( identity = sk_c2
| ~ spl17_6
| ~ spl17_7
| ~ spl17_17 ),
inference(forward_demodulation,[],[f871,f2]) ).
fof(f871,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl17_6
| ~ spl17_7
| ~ spl17_17 ),
inference(backward_demodulation,[],[f396,f869]) ).
fof(f869,plain,
( identity = sF10
| ~ spl17_6
| ~ spl17_7
| ~ spl17_17 ),
inference(forward_demodulation,[],[f191,f431]) ).
fof(f874,plain,
( spl17_27
| ~ spl17_6
| ~ spl17_7
| ~ spl17_17 ),
inference(avatar_split_clause,[],[f873,f254,f193,f189,f603]) ).
fof(f873,plain,
( identity = inverse(sk_c2)
| ~ spl17_6
| ~ spl17_7
| ~ spl17_17 ),
inference(backward_demodulation,[],[f94,f869]) ).
fof(f748,plain,
( ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f747,plain,
( $false
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(subsumption_resolution,[],[f746,f511]) ).
fof(f511,plain,
( identity = inverse(identity)
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17 ),
inference(backward_demodulation,[],[f498,f503]) ).
fof(f503,plain,
( identity = sk_c6
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17 ),
inference(backward_demodulation,[],[f387,f494]) ).
fof(f494,plain,
( identity = multiply(inverse(sk_c9),identity)
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17 ),
inference(backward_demodulation,[],[f451,f482]) ).
fof(f482,plain,
( identity = sk_c12
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17 ),
inference(backward_demodulation,[],[f440,f479]) ).
fof(f479,plain,
( ! [X15] : multiply(sk_c9,X15) = X15
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17 ),
inference(backward_demodulation,[],[f349,f475]) ).
fof(f475,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17 ),
inference(backward_demodulation,[],[f464,f472]) ).
fof(f472,plain,
( ! [X13] : multiply(sk_c12,X13) = X13
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17 ),
inference(forward_demodulation,[],[f471,f464]) ).
fof(f464,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c12,X0)) = X0
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17 ),
inference(backward_demodulation,[],[f415,f459]) ).
fof(f459,plain,
( sk_c12 = sk_c8
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_17 ),
inference(backward_demodulation,[],[f403,f440]) ).
fof(f403,plain,
( sk_c8 = multiply(sk_c9,identity)
| ~ spl17_8
| ~ spl17_11 ),
inference(forward_demodulation,[],[f390,f322]) ).
fof(f322,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl17_11 ),
inference(backward_demodulation,[],[f87,f214]) ).
fof(f214,plain,
( sk_c9 = sF6
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f212,plain,
( spl17_11
<=> sk_c9 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
fof(f87,plain,
inverse(sk_c7) = sF6,
introduced(function_definition,[]) ).
fof(f390,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl17_8 ),
inference(superposition,[],[f351,f329]) ).
fof(f329,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl17_8 ),
inference(superposition,[],[f2,f323]) ).
fof(f323,plain,
( inverse(sk_c8) = sk_c7
| ~ spl17_8 ),
inference(backward_demodulation,[],[f91,f200]) ).
fof(f200,plain,
( sk_c7 = sF8
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl17_8
<=> sk_c7 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f91,plain,
inverse(sk_c8) = sF8,
introduced(function_definition,[]) ).
fof(f415,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
| ~ spl17_8
| ~ spl17_11
| ~ spl17_16 ),
inference(backward_demodulation,[],[f355,f406]) ).
fof(f406,plain,
( sk_c6 = sk_c7
| ~ spl17_11
| ~ spl17_16 ),
inference(backward_demodulation,[],[f388,f387]) ).
fof(f388,plain,
( sk_c7 = multiply(inverse(sk_c9),identity)
| ~ spl17_11 ),
inference(superposition,[],[f351,f330]) ).
fof(f330,plain,
( identity = multiply(sk_c9,sk_c7)
| ~ spl17_11 ),
inference(superposition,[],[f2,f322]) ).
fof(f355,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl17_8 ),
inference(forward_demodulation,[],[f354,f1]) ).
fof(f354,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl17_8 ),
inference(superposition,[],[f3,f329]) ).
fof(f349,plain,
( ! [X15] : multiply(sk_c9,multiply(sk_c6,X15)) = X15
| ~ spl17_16 ),
inference(forward_demodulation,[],[f344,f1]) ).
fof(f344,plain,
( ! [X15] : multiply(sk_c9,multiply(sk_c6,X15)) = multiply(identity,X15)
| ~ spl17_16 ),
inference(superposition,[],[f3,f328]) ).
fof(f328,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl17_16 ),
inference(superposition,[],[f2,f325]) ).
fof(f325,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl17_16 ),
inference(backward_demodulation,[],[f78,f249]) ).
fof(f249,plain,
( sk_c9 = sF1
| ~ spl17_16 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f440,plain,
( sk_c12 = multiply(sk_c9,identity)
| ~ spl17_7
| ~ spl17_12
| ~ spl17_17 ),
inference(backward_demodulation,[],[f319,f431]) ).
fof(f451,plain,
( identity = multiply(inverse(sk_c9),sk_c12)
| ~ spl17_7
| ~ spl17_12
| ~ spl17_17 ),
inference(backward_demodulation,[],[f386,f431]) ).
fof(f386,plain,
( sk_c11 = multiply(inverse(sk_c9),sk_c12)
| ~ spl17_12 ),
inference(superposition,[],[f351,f319]) ).
fof(f387,plain,
( sk_c6 = multiply(inverse(sk_c9),identity)
| ~ spl17_16 ),
inference(superposition,[],[f351,f328]) ).
fof(f498,plain,
( sk_c6 = inverse(identity)
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17 ),
inference(backward_demodulation,[],[f461,f482]) ).
fof(f461,plain,
( sk_c6 = inverse(sk_c12)
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17 ),
inference(backward_demodulation,[],[f411,f459]) ).
fof(f411,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl17_8
| ~ spl17_11
| ~ spl17_16 ),
inference(backward_demodulation,[],[f323,f406]) ).
fof(f746,plain,
( identity != inverse(identity)
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f740,f511]) ).
fof(f740,plain,
( identity != inverse(inverse(identity))
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(trivial_inequality_removal,[],[f734]) ).
fof(f734,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(superposition,[],[f644,f2]) ).
fof(f644,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f643,f511]) ).
fof(f643,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(X0,inverse(identity)) )
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(subsumption_resolution,[],[f642,f1]) ).
fof(f642,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| identity != multiply(identity,identity)
| identity != inverse(X0) )
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f641,f511]) ).
fof(f641,plain,
( ! [X0] :
( identity != multiply(identity,inverse(identity))
| identity != inverse(X0)
| identity != multiply(X0,inverse(identity)) )
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f640,f511]) ).
fof(f640,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(X0,inverse(identity))
| identity != multiply(identity,inverse(identity)) )
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(subsumption_resolution,[],[f634,f2]) ).
fof(f634,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(inverse(identity),identity)
| identity != multiply(X0,inverse(identity))
| identity != multiply(identity,inverse(identity)) )
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(superposition,[],[f633,f511]) ).
fof(f633,plain,
( ! [X10,X8] :
( inverse(X10) != multiply(X10,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10))
| identity != multiply(inverse(inverse(X10)),identity)
| identity != multiply(X8,inverse(inverse(X10))) )
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f632,f482]) ).
fof(f632,plain,
( ! [X10,X8] :
( identity != multiply(X8,inverse(inverse(X10)))
| sk_c12 != multiply(inverse(inverse(X10)),identity)
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10)) )
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f631,f431]) ).
fof(f631,plain,
( ! [X10,X8] :
( inverse(X10) != multiply(X10,inverse(inverse(X10)))
| sk_c12 != multiply(inverse(inverse(X10)),sk_c11)
| inverse(X8) != inverse(inverse(X10))
| identity != multiply(X8,inverse(inverse(X10))) )
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f297,f482]) ).
fof(f630,plain,
( ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_19 ),
inference(avatar_contradiction_clause,[],[f629]) ).
fof(f629,plain,
( $false
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_19 ),
inference(subsumption_resolution,[],[f628,f511]) ).
fof(f628,plain,
( identity != inverse(identity)
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_19 ),
inference(forward_demodulation,[],[f621,f511]) ).
fof(f621,plain,
( identity != inverse(inverse(identity))
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_19 ),
inference(trivial_inequality_removal,[],[f617]) ).
fof(f617,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_19 ),
inference(superposition,[],[f614,f2]) ).
fof(f614,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17
| ~ spl17_19 ),
inference(forward_demodulation,[],[f613,f482]) ).
fof(f613,plain,
( ! [X5] :
( sk_c12 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl17_7
| ~ spl17_17
| ~ spl17_19 ),
inference(forward_demodulation,[],[f612,f431]) ).
fof(f612,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c12 != multiply(X5,sk_c11) )
| ~ spl17_7
| ~ spl17_17
| ~ spl17_19 ),
inference(forward_demodulation,[],[f294,f431]) ).
fof(f611,plain,
( ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17
| ~ spl17_18 ),
inference(avatar_contradiction_clause,[],[f610]) ).
fof(f610,plain,
( $false
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17
| ~ spl17_18 ),
inference(subsumption_resolution,[],[f609,f511]) ).
fof(f609,plain,
( identity != inverse(identity)
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17
| ~ spl17_18 ),
inference(forward_demodulation,[],[f578,f511]) ).
fof(f578,plain,
( identity != inverse(inverse(identity))
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17
| ~ spl17_18 ),
inference(trivial_inequality_removal,[],[f574]) ).
fof(f574,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17
| ~ spl17_18 ),
inference(superposition,[],[f553,f2]) ).
fof(f553,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17
| ~ spl17_18 ),
inference(backward_demodulation,[],[f551,f552]) ).
fof(f552,plain,
( identity = sk_c10
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17 ),
inference(forward_demodulation,[],[f240,f495]) ).
fof(f495,plain,
( identity = sF9
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_16
| ~ spl17_17 ),
inference(backward_demodulation,[],[f456,f482]) ).
fof(f551,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c10 != multiply(X4,identity) )
| ~ spl17_7
| ~ spl17_17
| ~ spl17_18 ),
inference(forward_demodulation,[],[f550,f431]) ).
fof(f550,plain,
( ! [X4] :
( sk_c10 != multiply(X4,identity)
| sk_c11 != inverse(X4) )
| ~ spl17_7
| ~ spl17_17
| ~ spl17_18 ),
inference(forward_demodulation,[],[f291,f431]) ).
fof(f547,plain,
( ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_13
| ~ spl17_14
| spl17_15
| ~ spl17_16
| ~ spl17_17 ),
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f546,plain,
( $false
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_13
| ~ spl17_14
| spl17_15
| ~ spl17_16
| ~ spl17_17 ),
inference(subsumption_resolution,[],[f545,f496]) ).
fof(f496,plain,
( identity != sk_c10
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| spl17_15
| ~ spl17_16
| ~ spl17_17 ),
inference(backward_demodulation,[],[f458,f482]) ).
fof(f458,plain,
( sk_c12 != sk_c10
| ~ spl17_7
| spl17_15
| ~ spl17_17 ),
inference(backward_demodulation,[],[f239,f456]) ).
fof(f239,plain,
( sk_c10 != sF9
| spl17_15 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f545,plain,
( identity = sk_c10
| ~ spl17_7
| ~ spl17_13
| ~ spl17_14
| ~ spl17_17 ),
inference(forward_demodulation,[],[f544,f1]) ).
fof(f544,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl17_7
| ~ spl17_13
| ~ spl17_14
| ~ spl17_17 ),
inference(forward_demodulation,[],[f439,f533]) ).
fof(f533,plain,
( identity = sk_c5
| ~ spl17_7
| ~ spl17_13
| ~ spl17_17 ),
inference(forward_demodulation,[],[f450,f2]) ).
fof(f450,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl17_7
| ~ spl17_13
| ~ spl17_17 ),
inference(backward_demodulation,[],[f380,f431]) ).
fof(f380,plain,
( sk_c5 = multiply(inverse(sk_c11),identity)
| ~ spl17_13 ),
inference(superposition,[],[f351,f327]) ).
fof(f327,plain,
( identity = multiply(sk_c11,sk_c5)
| ~ spl17_13 ),
inference(superposition,[],[f2,f317]) ).
fof(f317,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl17_13 ),
inference(backward_demodulation,[],[f106,f224]) ).
fof(f312,plain,
( spl17_15
| spl17_3 ),
inference(avatar_split_clause,[],[f126,f175,f238]) ).
fof(f126,plain,
( sk_c12 = sF16
| sk_c10 = sF9 ),
inference(definition_folding,[],[f8,f92,f121]) ).
fof(f8,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f310,plain,
( spl17_6
| spl17_3 ),
inference(avatar_split_clause,[],[f122,f175,f189]) ).
fof(f122,plain,
( sk_c12 = sF16
| sk_c11 = sF10 ),
inference(definition_folding,[],[f48,f121,f94]) ).
fof(f48,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f305,plain,
( spl17_3
| spl17_1 ),
inference(avatar_split_clause,[],[f124,f166,f175]) ).
fof(f124,plain,
( sk_c11 = sF4
| sk_c12 = sF16 ),
inference(definition_folding,[],[f18,f121,f84]) ).
fof(f18,axiom,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f303,plain,
( spl17_9
| spl17_17 ),
inference(avatar_split_clause,[],[f153,f254,f202]) ).
fof(f153,plain,
( sk_c11 = sF3
| sk_c12 = sF2 ),
inference(definition_folding,[],[f24,f80,f82]) ).
fof(f24,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f302,plain,
( spl17_9
| spl17_3 ),
inference(avatar_split_clause,[],[f158,f175,f202]) ).
fof(f158,plain,
( sk_c12 = sF16
| sk_c12 = sF2 ),
inference(definition_folding,[],[f28,f121,f80]) ).
fof(f28,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f301,plain,
( spl17_18
| spl17_19
| spl17_20
| ~ spl17_15
| spl17_21
| spl17_18
| spl17_21 ),
inference(avatar_split_clause,[],[f102,f299,f290,f299,f238,f296,f293,f290]) ).
fof(f102,plain,
! [X3,X10,X8,X6,X7,X4,X5] :
( sk_c12 != inverse(X3)
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != inverse(X6)
| sk_c10 != sF9
| sk_c12 != multiply(inverse(inverse(X10)),sk_c11)
| sk_c12 != multiply(X5,sk_c11)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != multiply(X8,inverse(inverse(X10)))
| sk_c11 != inverse(X5)
| inverse(X8) != inverse(inverse(X10))
| sk_c11 != multiply(X3,sk_c12)
| sk_c11 != multiply(X6,sk_c12)
| sk_c11 != inverse(X7)
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| sk_c11 != inverse(X4) ),
inference(definition_folding,[],[f76,f92]) ).
fof(f76,plain,
! [X3,X10,X8,X6,X7,X4,X5] :
( sk_c12 != multiply(X5,sk_c11)
| sk_c11 != multiply(X6,sk_c12)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != multiply(X8,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10))
| sk_c12 != multiply(inverse(inverse(X10)),sk_c11)
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != inverse(X6)
| multiply(sk_c11,sk_c12) != sk_c10
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != inverse(X3)
| sk_c11 != inverse(X7)
| sk_c11 != inverse(X4) ),
inference(equality_resolution,[],[f75]) ).
fof(f75,plain,
! [X3,X10,X11,X8,X6,X7,X4,X5] :
( sk_c12 != multiply(X5,sk_c11)
| sk_c11 != multiply(X6,sk_c12)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != multiply(X8,inverse(X11))
| inverse(X8) != inverse(X11)
| sk_c12 != multiply(inverse(X11),sk_c11)
| multiply(X10,inverse(X11)) != X11
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != inverse(X6)
| multiply(sk_c11,sk_c12) != sk_c10
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != inverse(X3)
| sk_c11 != inverse(X7)
| inverse(X10) != X11
| sk_c11 != inverse(X4) ),
inference(equality_resolution,[],[f74]) ).
fof(f74,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( sk_c12 != multiply(X5,sk_c11)
| sk_c11 != multiply(X6,sk_c12)
| inverse(X11) != X9
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != multiply(X8,X9)
| inverse(X8) != X9
| sk_c12 != multiply(X9,sk_c11)
| multiply(X10,X9) != X11
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != inverse(X6)
| multiply(sk_c11,sk_c12) != sk_c10
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != inverse(X3)
| sk_c11 != inverse(X7)
| inverse(X10) != X11
| sk_c11 != inverse(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_71) ).
fof(f288,plain,
( spl17_12
| spl17_6 ),
inference(avatar_split_clause,[],[f101,f189,f217]) ).
fof(f101,plain,
( sk_c11 = sF10
| sk_c12 = sF12 ),
inference(definition_folding,[],[f50,f100,f94]) ).
fof(f50,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f286,plain,
( spl17_5
| spl17_12 ),
inference(avatar_split_clause,[],[f118,f217,f184]) ).
fof(f118,plain,
( sk_c12 = sF12
| sk_c11 = sF0 ),
inference(definition_folding,[],[f70,f77,f100]) ).
fof(f70,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_67) ).
fof(f285,plain,
( spl17_5
| spl17_13 ),
inference(avatar_split_clause,[],[f110,f222,f184]) ).
fof(f110,plain,
( sk_c11 = sF14
| sk_c11 = sF0 ),
inference(definition_folding,[],[f67,f106,f77]) ).
fof(f67,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_64) ).
fof(f284,plain,
( spl17_11
| spl17_6 ),
inference(avatar_split_clause,[],[f95,f189,f212]) ).
fof(f95,plain,
( sk_c11 = sF10
| sk_c9 = sF6 ),
inference(definition_folding,[],[f52,f94,f87]) ).
fof(f52,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f283,plain,
( spl17_15
| spl17_8 ),
inference(avatar_split_clause,[],[f93,f198,f238]) ).
fof(f93,plain,
( sk_c7 = sF8
| sk_c10 = sF9 ),
inference(definition_folding,[],[f11,f92,f91]) ).
fof(f11,axiom,
( inverse(sk_c8) = sk_c7
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f282,plain,
( spl17_6
| spl17_16 ),
inference(avatar_split_clause,[],[f113,f247,f189]) ).
fof(f113,plain,
( sk_c9 = sF1
| sk_c11 = sF10 ),
inference(definition_folding,[],[f49,f78,f94]) ).
fof(f49,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f281,plain,
( spl17_5
| spl17_14 ),
inference(avatar_split_clause,[],[f141,f230,f184]) ).
fof(f141,plain,
( sk_c10 = sF15
| sk_c11 = sF0 ),
inference(definition_folding,[],[f66,f108,f77]) ).
fof(f66,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c5,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_63) ).
fof(f280,plain,
( spl17_15
| spl17_14 ),
inference(avatar_split_clause,[],[f109,f230,f238]) ).
fof(f109,plain,
( sk_c10 = sF15
| sk_c10 = sF9 ),
inference(definition_folding,[],[f6,f108,f92]) ).
fof(f6,axiom,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c10 = multiply(sk_c5,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f278,plain,
( spl17_16
| spl17_15 ),
inference(avatar_split_clause,[],[f144,f238,f247]) ).
fof(f144,plain,
( sk_c10 = sF9
| sk_c9 = sF1 ),
inference(definition_folding,[],[f9,f78,f92]) ).
fof(f9,axiom,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f277,plain,
( spl17_15
| spl17_17 ),
inference(avatar_split_clause,[],[f152,f254,f238]) ).
fof(f152,plain,
( sk_c11 = sF3
| sk_c10 = sF9 ),
inference(definition_folding,[],[f4,f82,f92]) ).
fof(f4,axiom,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f275,plain,
( spl17_1
| spl17_7 ),
inference(avatar_split_clause,[],[f86,f193,f166]) ).
fof(f86,plain,
( sk_c12 = sF5
| sk_c11 = sF4 ),
inference(definition_folding,[],[f15,f85,f84]) ).
fof(f15,axiom,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f273,plain,
( spl17_5
| spl17_8 ),
inference(avatar_split_clause,[],[f117,f198,f184]) ).
fof(f117,plain,
( sk_c7 = sF8
| sk_c11 = sF0 ),
inference(definition_folding,[],[f71,f77,f91]) ).
fof(f71,axiom,
( inverse(sk_c8) = sk_c7
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_68) ).
fof(f271,plain,
( spl17_6
| spl17_14 ),
inference(avatar_split_clause,[],[f132,f230,f189]) ).
fof(f132,plain,
( sk_c10 = sF15
| sk_c11 = sF10 ),
inference(definition_folding,[],[f46,f108,f94]) ).
fof(f46,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c10 = multiply(sk_c5,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f270,plain,
( spl17_15
| spl17_7 ),
inference(avatar_split_clause,[],[f125,f193,f238]) ).
fof(f125,plain,
( sk_c12 = sF5
| sk_c10 = sF9 ),
inference(definition_folding,[],[f5,f85,f92]) ).
fof(f5,axiom,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f267,plain,
( spl17_15
| spl17_13 ),
inference(avatar_split_clause,[],[f137,f222,f238]) ).
fof(f137,plain,
( sk_c11 = sF14
| sk_c10 = sF9 ),
inference(definition_folding,[],[f7,f92,f106]) ).
fof(f7,axiom,
( sk_c11 = inverse(sk_c5)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f266,plain,
( spl17_17
| spl17_5 ),
inference(avatar_split_clause,[],[f83,f184,f254]) ).
fof(f83,plain,
( sk_c11 = sF0
| sk_c11 = sF3 ),
inference(definition_folding,[],[f64,f77,f82]) ).
fof(f64,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_61) ).
fof(f265,plain,
( spl17_16
| spl17_4 ),
inference(avatar_split_clause,[],[f161,f179,f247]) ).
fof(f161,plain,
( sk_c12 = sF13
| sk_c9 = sF1 ),
inference(definition_folding,[],[f59,f78,f103]) ).
fof(f59,axiom,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).
fof(f264,plain,
( spl17_14
| spl17_10 ),
inference(avatar_split_clause,[],[f114,f207,f230]) ).
fof(f114,plain,
( sk_c10 = sF11
| sk_c10 = sF15 ),
inference(definition_folding,[],[f36,f97,f108]) ).
fof(f36,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f263,plain,
( spl17_8
| spl17_6 ),
inference(avatar_split_clause,[],[f150,f189,f198]) ).
fof(f150,plain,
( sk_c11 = sF10
| sk_c7 = sF8 ),
inference(definition_folding,[],[f51,f91,f94]) ).
fof(f51,axiom,
( sk_c11 = inverse(sk_c2)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f260,plain,
( spl17_11
| spl17_15 ),
inference(avatar_split_clause,[],[f149,f238,f212]) ).
fof(f149,plain,
( sk_c10 = sF9
| sk_c9 = sF6 ),
inference(definition_folding,[],[f12,f92,f87]) ).
fof(f12,axiom,
( sk_c9 = inverse(sk_c7)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f258,plain,
( spl17_1
| spl17_17 ),
inference(avatar_split_clause,[],[f151,f254,f166]) ).
fof(f151,plain,
( sk_c11 = sF3
| sk_c11 = sF4 ),
inference(definition_folding,[],[f14,f84,f82]) ).
fof(f14,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c11 = multiply(sk_c1,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f257,plain,
( spl17_4
| spl17_17 ),
inference(avatar_split_clause,[],[f159,f254,f179]) ).
fof(f159,plain,
( sk_c11 = sF3
| sk_c12 = sF13 ),
inference(definition_folding,[],[f54,f82,f103]) ).
fof(f54,axiom,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f252,plain,
( spl17_13
| spl17_10 ),
inference(avatar_split_clause,[],[f155,f207,f222]) ).
fof(f155,plain,
( sk_c10 = sF11
| sk_c11 = sF14 ),
inference(definition_folding,[],[f37,f106,f97]) ).
fof(f37,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f251,plain,
( spl17_4
| spl17_7 ),
inference(avatar_split_clause,[],[f115,f193,f179]) ).
fof(f115,plain,
( sk_c12 = sF5
| sk_c12 = sF13 ),
inference(definition_folding,[],[f55,f103,f85]) ).
fof(f55,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
fof(f250,plain,
( spl17_5
| spl17_16 ),
inference(avatar_split_clause,[],[f79,f247,f184]) ).
fof(f79,plain,
( sk_c9 = sF1
| sk_c11 = sF0 ),
inference(definition_folding,[],[f69,f78,f77]) ).
fof(f69,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_66) ).
fof(f243,plain,
( spl17_3
| spl17_5 ),
inference(avatar_split_clause,[],[f128,f184,f175]) ).
fof(f128,plain,
( sk_c11 = sF0
| sk_c12 = sF16 ),
inference(definition_folding,[],[f68,f121,f77]) ).
fof(f68,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_65) ).
fof(f242,plain,
( spl17_13
| spl17_4 ),
inference(avatar_split_clause,[],[f142,f179,f222]) ).
fof(f142,plain,
( sk_c12 = sF13
| sk_c11 = sF14 ),
inference(definition_folding,[],[f57,f106,f103]) ).
fof(f57,axiom,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).
fof(f241,plain,
( spl17_15
| spl17_12 ),
inference(avatar_split_clause,[],[f131,f217,f238]) ).
fof(f131,plain,
( sk_c12 = sF12
| sk_c10 = sF9 ),
inference(definition_folding,[],[f10,f92,f100]) ).
fof(f10,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f235,plain,
( spl17_5
| spl17_7 ),
inference(avatar_split_clause,[],[f156,f193,f184]) ).
fof(f156,plain,
( sk_c12 = sF5
| sk_c11 = sF0 ),
inference(definition_folding,[],[f65,f85,f77]) ).
fof(f65,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_62) ).
fof(f234,plain,
( spl17_10
| spl17_12 ),
inference(avatar_split_clause,[],[f133,f217,f207]) ).
fof(f133,plain,
( sk_c12 = sF12
| sk_c10 = sF11 ),
inference(definition_folding,[],[f40,f97,f100]) ).
fof(f40,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f233,plain,
( spl17_14
| spl17_4 ),
inference(avatar_split_clause,[],[f139,f179,f230]) ).
fof(f139,plain,
( sk_c12 = sF13
| sk_c10 = sF15 ),
inference(definition_folding,[],[f56,f108,f103]) ).
fof(f56,axiom,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c10 = multiply(sk_c5,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_53) ).
fof(f228,plain,
( spl17_7
| spl17_9 ),
inference(avatar_split_clause,[],[f105,f202,f193]) ).
fof(f105,plain,
( sk_c12 = sF2
| sk_c12 = sF5 ),
inference(definition_folding,[],[f25,f80,f85]) ).
fof(f25,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f226,plain,
( spl17_11
| spl17_5 ),
inference(avatar_split_clause,[],[f88,f184,f212]) ).
fof(f88,plain,
( sk_c11 = sF0
| sk_c9 = sF6 ),
inference(definition_folding,[],[f72,f77,f87]) ).
fof(f72,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_69) ).
fof(f225,plain,
( spl17_6
| spl17_13 ),
inference(avatar_split_clause,[],[f143,f222,f189]) ).
fof(f143,plain,
( sk_c11 = sF14
| sk_c11 = sF10 ),
inference(definition_folding,[],[f47,f94,f106]) ).
fof(f47,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f215,plain,
( spl17_10
| spl17_11 ),
inference(avatar_split_clause,[],[f147,f212,f207]) ).
fof(f147,plain,
( sk_c9 = sF6
| sk_c10 = sF11 ),
inference(definition_folding,[],[f42,f87,f97]) ).
fof(f42,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f210,plain,
( spl17_10
| spl17_8 ),
inference(avatar_split_clause,[],[f127,f198,f207]) ).
fof(f127,plain,
( sk_c7 = sF8
| sk_c10 = sF11 ),
inference(definition_folding,[],[f41,f91,f97]) ).
fof(f41,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f196,plain,
( spl17_6
| spl17_7 ),
inference(avatar_split_clause,[],[f96,f193,f189]) ).
fof(f96,plain,
( sk_c12 = sF5
| sk_c11 = sF10 ),
inference(definition_folding,[],[f45,f85,f94]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP312-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % 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 : n020.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 22:33:15 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 % (19268)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)
% 0.19/0.47 % (19276)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)
% 0.19/0.49 % (19284)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)
% 0.19/0.53 % (19271)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)
% 0.19/0.53 % (19270)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)
% 0.19/0.53 % (19270)Instruction limit reached!
% 0.19/0.53 % (19270)------------------------------
% 0.19/0.53 % (19270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19270)Termination reason: Unknown
% 0.19/0.53 % (19270)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (19270)Memory used [KB]: 1279
% 0.19/0.53 % (19270)Time elapsed: 0.004 s
% 0.19/0.53 % (19270)Instructions burned: 3 (million)
% 0.19/0.53 % (19270)------------------------------
% 0.19/0.53 % (19270)------------------------------
% 0.19/0.54 % (19262)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.54 % (19263)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)
% 0.19/0.54 % (19285)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)
% 0.19/0.55 % (19285)Refutation not found, incomplete strategy% (19285)------------------------------
% 0.19/0.55 % (19285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (19285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (19285)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (19285)Memory used [KB]: 5884
% 0.19/0.55 % (19285)Time elapsed: 0.141 s
% 0.19/0.55 % (19285)Instructions burned: 6 (million)
% 0.19/0.55 % (19285)------------------------------
% 0.19/0.55 % (19285)------------------------------
% 1.52/0.55 % (19266)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)
% 1.52/0.55 % (19276)Instruction limit reached!
% 1.52/0.55 % (19276)------------------------------
% 1.52/0.55 % (19276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (19265)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)
% 1.52/0.55 % (19267)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.52/0.56 % (19286)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)
% 1.52/0.56 % (19264)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)
% 1.52/0.56 % (19277)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)
% 1.52/0.56 % (19279)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.52/0.56 % (19277)Instruction limit reached!
% 1.52/0.56 % (19277)------------------------------
% 1.52/0.56 % (19277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (19277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (19277)Termination reason: Unknown
% 1.52/0.56 % (19277)Termination phase: Finite model building preprocessing
% 1.52/0.56
% 1.52/0.56 % (19277)Memory used [KB]: 1407
% 1.52/0.56 % (19277)Time elapsed: 0.005 s
% 1.52/0.56 % (19277)Instructions burned: 6 (million)
% 1.52/0.56 % (19277)------------------------------
% 1.52/0.56 % (19277)------------------------------
% 1.52/0.57 % (19268)Instruction limit reached!
% 1.52/0.57 % (19268)------------------------------
% 1.52/0.57 % (19268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.57 % (19276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.57 % (19276)Termination reason: Unknown
% 1.52/0.57 % (19276)Termination phase: Saturation
% 1.52/0.57
% 1.52/0.57 % (19276)Memory used [KB]: 1663
% 1.52/0.57 % (19276)Time elapsed: 0.171 s
% 1.52/0.57 % (19276)Instructions burned: 29 (million)
% 1.52/0.57 % (19276)------------------------------
% 1.52/0.57 % (19276)------------------------------
% 1.52/0.57 % (19268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.57 % (19268)Termination reason: Unknown
% 1.52/0.57 % (19268)Termination phase: Saturation
% 1.52/0.57
% 1.52/0.57 % (19268)Memory used [KB]: 1791
% 1.52/0.57 % (19268)Time elapsed: 0.177 s
% 1.52/0.57 % (19268)Instructions burned: 49 (million)
% 1.52/0.57 % (19268)------------------------------
% 1.52/0.57 % (19268)------------------------------
% 1.52/0.57 % (19265)Refutation not found, incomplete strategy% (19265)------------------------------
% 1.52/0.57 % (19265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.57 % (19278)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)
% 1.79/0.57 % (19278)Instruction limit reached!
% 1.79/0.57 % (19278)------------------------------
% 1.79/0.57 % (19278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.57 % (19278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.57 % (19278)Termination reason: Unknown
% 1.79/0.57 % (19278)Termination phase: Equality proxy
% 1.79/0.57
% 1.79/0.57 % (19278)Memory used [KB]: 1279
% 1.79/0.57 % (19278)Time elapsed: 0.004 s
% 1.79/0.57 % (19278)Instructions burned: 2 (million)
% 1.79/0.57 % (19278)------------------------------
% 1.79/0.57 % (19278)------------------------------
% 1.79/0.58 % (19269)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)
% 1.79/0.58 % (19290)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)
% 1.79/0.58 % (19265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.58 % (19265)Termination reason: Refutation not found, incomplete strategy
% 1.79/0.58
% 1.79/0.58 % (19265)Memory used [KB]: 5884
% 1.79/0.58 % (19265)Time elapsed: 0.161 s
% 1.79/0.58 % (19265)Instructions burned: 6 (million)
% 1.79/0.58 % (19265)------------------------------
% 1.79/0.58 % (19265)------------------------------
% 1.79/0.58 % (19264)Instruction limit reached!
% 1.79/0.58 % (19264)------------------------------
% 1.79/0.58 % (19264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.58 % (19264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.58 % (19264)Termination reason: Unknown
% 1.79/0.58 % (19264)Termination phase: Saturation
% 1.79/0.58
% 1.79/0.58 % (19264)Memory used [KB]: 5884
% 1.79/0.58 % (19264)Time elapsed: 0.004 s
% 1.79/0.58 % (19264)Instructions burned: 4 (million)
% 1.79/0.58 % (19264)------------------------------
% 1.79/0.58 % (19264)------------------------------
% 1.79/0.59 % (19283)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)
% 1.79/0.59 % (19289)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)
% 1.79/0.59 % (19291)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)
% 1.79/0.59 % (19279)Instruction limit reached!
% 1.79/0.59 % (19279)------------------------------
% 1.79/0.59 % (19279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59 % (19279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59 % (19279)Termination reason: Unknown
% 1.79/0.59 % (19279)Termination phase: Saturation
% 1.79/0.59
% 1.79/0.59 % (19279)Memory used [KB]: 6012
% 1.79/0.59 % (19279)Time elapsed: 0.180 s
% 1.79/0.59 % (19279)Instructions burned: 8 (million)
% 1.79/0.59 % (19279)------------------------------
% 1.79/0.59 % (19279)------------------------------
% 1.79/0.59 % (19269)Refutation not found, incomplete strategy% (19269)------------------------------
% 1.79/0.59 % (19269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59 % (19269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59 % (19269)Termination reason: Refutation not found, incomplete strategy
% 1.79/0.59
% 1.79/0.59 % (19269)Memory used [KB]: 6012
% 1.79/0.59 % (19269)Time elapsed: 0.139 s
% 1.79/0.59 % (19269)Instructions burned: 6 (million)
% 1.79/0.59 % (19269)------------------------------
% 1.79/0.59 % (19269)------------------------------
% 1.79/0.59 % (19275)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)
% 1.79/0.59 % (19281)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)
% 1.79/0.59 % (19275)Instruction limit reached!
% 1.79/0.59 % (19275)------------------------------
% 1.79/0.59 % (19275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59 % (19275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59 % (19275)Termination reason: Unknown
% 1.79/0.59 % (19275)Termination phase: Saturation
% 1.79/0.59
% 1.79/0.59 % (19275)Memory used [KB]: 5756
% 1.79/0.59 % (19275)Time elapsed: 0.004 s
% 1.79/0.59 % (19275)Instructions burned: 3 (million)
% 1.79/0.59 % (19275)------------------------------
% 1.79/0.59 % (19275)------------------------------
% 1.79/0.59 % (19287)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)
% 1.79/0.59 % (19274)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)
% 1.79/0.60 % (19282)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)
% 1.79/0.60 % (19288)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)
% 1.79/0.60 % (19272)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)
% 1.79/0.60 % (19282)Instruction limit reached!
% 1.79/0.60 % (19282)------------------------------
% 1.79/0.60 % (19282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.60 % (19282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.60 % (19282)Termination reason: Unknown
% 1.79/0.60 % (19282)Termination phase: Saturation
% 1.79/0.60
% 1.79/0.60 % (19282)Memory used [KB]: 1407
% 1.79/0.60 % (19282)Time elapsed: 0.007 s
% 1.79/0.60 % (19282)Instructions burned: 6 (million)
% 1.79/0.60 % (19282)------------------------------
% 1.79/0.60 % (19282)------------------------------
% 1.79/0.60 % (19290)Refutation not found, incomplete strategy% (19290)------------------------------
% 1.79/0.60 % (19290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.60 % (19280)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)
% 1.79/0.60 % (19290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.60 % (19290)Termination reason: Refutation not found, incomplete strategy
% 1.79/0.60
% 1.79/0.60 % (19290)Memory used [KB]: 6012
% 1.79/0.60 % (19290)Time elapsed: 0.194 s
% 1.79/0.60 % (19290)Instructions burned: 8 (million)
% 1.79/0.60 % (19290)------------------------------
% 1.79/0.60 % (19290)------------------------------
% 1.79/0.60 % (19281)Instruction limit reached!
% 1.79/0.60 % (19281)------------------------------
% 1.79/0.60 % (19281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.60 % (19281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.60 % (19281)Termination reason: Unknown
% 1.79/0.60 % (19281)Termination phase: Saturation
% 1.79/0.60
% 1.79/0.60 % (19281)Memory used [KB]: 6012
% 1.79/0.60 % (19281)Time elapsed: 0.190 s
% 1.79/0.60 % (19281)Instructions burned: 7 (million)
% 1.79/0.60 % (19281)------------------------------
% 1.79/0.60 % (19281)------------------------------
% 1.79/0.61 % (19272)Instruction limit reached!
% 1.79/0.61 % (19272)------------------------------
% 1.79/0.61 % (19272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.61 % (19273)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)
% 1.79/0.62 % (19274)Instruction limit reached!
% 1.79/0.62 % (19274)------------------------------
% 1.79/0.62 % (19274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.62 % (19274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.62 % (19274)Termination reason: Unknown
% 1.79/0.62 % (19274)Termination phase: Saturation
% 1.79/0.62
% 1.79/0.62 % (19274)Memory used [KB]: 6012
% 1.79/0.62 % (19274)Time elapsed: 0.210 s
% 1.79/0.62 % (19274)Instructions burned: 6 (million)
% 1.79/0.62 % (19274)------------------------------
% 1.79/0.62 % (19274)------------------------------
% 1.79/0.62 % (19267)Instruction limit reached!
% 1.79/0.62 % (19267)------------------------------
% 1.79/0.62 % (19267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.62 % (19267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.62 % (19267)Termination reason: Unknown
% 1.79/0.62 % (19267)Termination phase: Saturation
% 1.79/0.62
% 1.79/0.62 % (19267)Memory used [KB]: 6268
% 1.79/0.62 % (19267)Time elapsed: 0.198 s
% 1.79/0.62 % (19267)Instructions burned: 25 (million)
% 1.79/0.62 % (19267)------------------------------
% 1.79/0.62 % (19267)------------------------------
% 1.79/0.62 % (19272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.62 % (19272)Termination reason: Unknown
% 1.79/0.62 % (19272)Termination phase: Saturation
% 1.79/0.62
% 1.79/0.62 % (19272)Memory used [KB]: 5884
% 1.79/0.62 % (19272)Time elapsed: 0.197 s
% 1.79/0.62 % (19272)Instructions burned: 6 (million)
% 1.79/0.62 % (19272)------------------------------
% 1.79/0.62 % (19272)------------------------------
% 1.79/0.63 % (19266)Instruction limit reached!
% 1.79/0.63 % (19266)------------------------------
% 1.79/0.63 % (19266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.63 % (19266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.63 % (19266)Termination reason: Unknown
% 1.79/0.63 % (19266)Termination phase: Saturation
% 1.79/0.63
% 1.79/0.63 % (19266)Memory used [KB]: 6396
% 1.79/0.63 % (19266)Time elapsed: 0.213 s
% 1.79/0.63 % (19266)Instructions burned: 34 (million)
% 1.79/0.63 % (19266)------------------------------
% 1.79/0.63 % (19266)------------------------------
% 1.79/0.63 % (19263)Instruction limit reached!
% 1.79/0.63 % (19263)------------------------------
% 1.79/0.63 % (19263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.64 % (19263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.64 % (19263)Termination reason: Unknown
% 1.79/0.64 % (19263)Termination phase: Saturation
% 1.79/0.64
% 1.79/0.64 % (19263)Memory used [KB]: 1663
% 1.79/0.64 % (19263)Time elapsed: 0.206 s
% 1.79/0.64 % (19263)Instructions burned: 42 (million)
% 1.79/0.64 % (19263)------------------------------
% 1.79/0.64 % (19263)------------------------------
% 1.79/0.64 % (19273)Instruction limit reached!
% 1.79/0.64 % (19273)------------------------------
% 1.79/0.64 % (19273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.64 % (19271)Instruction limit reached!
% 1.79/0.64 % (19271)------------------------------
% 1.79/0.64 % (19271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.64 % (19271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.64 % (19271)Termination reason: Unknown
% 1.79/0.64 % (19271)Termination phase: Saturation
% 1.79/0.64
% 1.79/0.64 % (19271)Memory used [KB]: 6780
% 1.79/0.64 % (19271)Time elapsed: 0.229 s
% 1.79/0.64 % (19271)Instructions burned: 52 (million)
% 1.79/0.64 % (19271)------------------------------
% 1.79/0.64 % (19271)------------------------------
% 1.79/0.65 % (19280)Instruction limit reached!
% 1.79/0.65 % (19280)------------------------------
% 1.79/0.65 % (19280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.65 % (19286)Instruction limit reached!
% 1.79/0.65 % (19286)------------------------------
% 1.79/0.65 % (19286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.65 % (19286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.65 % (19286)Termination reason: Unknown
% 1.79/0.65 % (19286)Termination phase: Saturation
% 1.79/0.65
% 1.79/0.65 % (19286)Memory used [KB]: 6780
% 1.79/0.65 % (19286)Time elapsed: 0.225 s
% 1.79/0.65 % (19286)Instructions burned: 46 (million)
% 1.79/0.65 % (19286)------------------------------
% 1.79/0.65 % (19286)------------------------------
% 1.79/0.65 % (19273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.65 % (19273)Termination reason: Unknown
% 1.79/0.65 % (19273)Termination phase: Saturation
% 1.79/0.65
% 1.79/0.65 % (19273)Memory used [KB]: 6268
% 1.79/0.65 % (19273)Time elapsed: 0.219 s
% 1.79/0.65 % (19273)Instructions burned: 23 (million)
% 1.79/0.65 % (19273)------------------------------
% 1.79/0.65 % (19273)------------------------------
% 1.79/0.65 % (19280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.65 % (19280)Termination reason: Unknown
% 1.79/0.65 % (19280)Termination phase: Saturation
% 1.79/0.65
% 1.79/0.65 % (19280)Memory used [KB]: 10874
% 1.79/0.65 % (19280)Time elapsed: 0.214 s
% 1.79/0.65 % (19280)Instructions burned: 28 (million)
% 1.79/0.65 % (19280)------------------------------
% 1.79/0.65 % (19280)------------------------------
% 2.38/0.68 % (19289)Instruction limit reached!
% 2.38/0.68 % (19289)------------------------------
% 2.38/0.68 % (19289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.69 % (19289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.69 % (19289)Termination reason: Unknown
% 2.38/0.69 % (19289)Termination phase: Saturation
% 2.38/0.69
% 2.38/0.69 % (19289)Memory used [KB]: 1791
% 2.38/0.69 % (19289)Time elapsed: 0.236 s
% 2.38/0.69 % (19289)Instructions burned: 73 (million)
% 2.38/0.69 % (19289)------------------------------
% 2.38/0.69 % (19289)------------------------------
% 2.38/0.70 % (19287)Refutation not found, incomplete strategy% (19287)------------------------------
% 2.38/0.70 % (19287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.70 % (19287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.70 % (19287)Termination reason: Refutation not found, incomplete strategy
% 2.38/0.70
% 2.38/0.70 % (19287)Memory used [KB]: 6268
% 2.38/0.70 % (19287)Time elapsed: 0.258 s
% 2.38/0.70 % (19287)Instructions burned: 23 (million)
% 2.38/0.70 % (19287)------------------------------
% 2.38/0.70 % (19287)------------------------------
% 2.38/0.72 % (19325)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.47/0.75 % (19324)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/14Mi)
% 2.47/0.76 % (19283)Instruction limit reached!
% 2.47/0.76 % (19283)------------------------------
% 2.47/0.76 % (19283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.76 % (19283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.76 % (19283)Termination reason: Unknown
% 2.47/0.76 % (19283)Termination phase: Saturation
% 2.47/0.76
% 2.47/0.76 % (19283)Memory used [KB]: 6908
% 2.47/0.76 % (19283)Time elapsed: 0.331 s
% 2.47/0.76 % (19283)Instructions burned: 67 (million)
% 2.47/0.76 % (19283)------------------------------
% 2.47/0.76 % (19283)------------------------------
% 2.47/0.76 % (19284)Instruction limit reached!
% 2.47/0.76 % (19284)------------------------------
% 2.47/0.76 % (19284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.76 % (19284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.76 % (19284)Termination reason: Unknown
% 2.47/0.76 % (19284)Termination phase: Saturation
% 2.47/0.76
% 2.47/0.76 % (19284)Memory used [KB]: 6652
% 2.47/0.76 % (19284)Time elapsed: 0.364 s
% 2.47/0.76 % (19284)Instructions burned: 98 (million)
% 2.47/0.76 % (19284)------------------------------
% 2.47/0.76 % (19284)------------------------------
% 2.47/0.77 % (19336)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/147Mi)
% 2.47/0.77 % (19325)Instruction limit reached!
% 2.47/0.77 % (19325)------------------------------
% 2.47/0.77 % (19325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.77 % (19288)Refutation not found, non-redundant clauses discarded% (19288)------------------------------
% 2.47/0.77 % (19288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.77 % (19288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.77 % (19288)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.47/0.77
% 2.47/0.77 % (19288)Memory used [KB]: 6652
% 2.47/0.77 % (19288)Time elapsed: 0.340 s
% 2.47/0.77 % (19288)Instructions burned: 63 (million)
% 2.47/0.77 % (19288)------------------------------
% 2.47/0.77 % (19288)------------------------------
% 2.47/0.77 % (19325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.77 % (19325)Termination reason: Unknown
% 2.47/0.77 % (19325)Termination phase: Saturation
% 2.47/0.77
% 2.47/0.77 % (19325)Memory used [KB]: 6524
% 2.47/0.77 % (19325)Time elapsed: 0.122 s
% 2.47/0.77 % (19325)Instructions burned: 39 (million)
% 2.47/0.77 % (19325)------------------------------
% 2.47/0.77 % (19325)------------------------------
% 2.47/0.77 % (19262)First to succeed.
% 2.47/0.78 % (19337)lrs+1011_1:7_av=off:bsr=on:fd=preordered:nwc=5.0:s2a=on:s2at=2.0:sp=reverse_frequency:to=lpo:urr=on:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/45Mi)
% 2.47/0.78 % (19262)Refutation found. Thanks to Tanya!
% 2.47/0.78 % SZS status Unsatisfiable for theBenchmark
% 2.47/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 2.47/0.78 % (19262)------------------------------
% 2.47/0.78 % (19262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.78 % (19262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.78 % (19262)Termination reason: Refutation
% 2.47/0.78
% 2.47/0.78 % (19262)Memory used [KB]: 8059
% 2.47/0.78 % (19262)Time elapsed: 0.371 s
% 2.47/0.78 % (19262)Instructions burned: 144 (million)
% 2.47/0.78 % (19262)------------------------------
% 2.47/0.78 % (19262)------------------------------
% 2.47/0.78 % (19261)Success in time 0.429 s
%------------------------------------------------------------------------------