TSTP Solution File: GRP307-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP307-1 : 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_sat --cores 0 -t %d %s
% Computer : n027.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 16:21:14 EDT 2022
% Result : Unsatisfiable 1.87s 0.62s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 73
% Syntax : Number of formulae : 321 ( 7 unt; 0 def)
% Number of atoms : 1425 ( 395 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 2157 (1053 ~;1077 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 28 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 104 ( 104 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f800,plain,
$false,
inference(avatar_sat_refutation,[],[f81,f90,f99,f108,f114,f115,f127,f137,f138,f139,f152,f159,f161,f162,f163,f168,f169,f170,f171,f172,f173,f176,f178,f179,f180,f181,f182,f184,f186,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f202,f204,f234,f262,f282,f293,f312,f346,f351,f371,f379,f407,f608,f625,f647,f655,f662,f674,f678,f683,f748,f753,f761,f766,f789,f795,f799]) ).
fof(f799,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f798]) ).
fof(f798,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f797]) ).
fof(f797,plain,
( sk_c11 != sk_c11
| spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20
| ~ spl0_27 ),
inference(forward_demodulation,[],[f796,f273]) ).
fof(f273,plain,
( sk_c11 = sk_c9
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl0_27
<=> sk_c11 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f796,plain,
( sk_c11 != sk_c9
| spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f74,f642]) ).
fof(f642,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f631,f639]) ).
fof(f639,plain,
( sk_c11 = sk_c6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20 ),
inference(backward_demodulation,[],[f630,f638]) ).
fof(f638,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20 ),
inference(backward_demodulation,[],[f433,f637]) ).
fof(f637,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f633,f597]) ).
fof(f597,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_3
| ~ spl0_7 ),
inference(backward_demodulation,[],[f1,f592]) ).
fof(f592,plain,
( identity = sk_c11
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f590,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f590,plain,
( sk_c11 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f218,f589]) ).
fof(f589,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f587,f98]) ).
fof(f98,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl0_7
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f587,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_3 ),
inference(superposition,[],[f218,f80]) ).
fof(f80,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl0_3
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f218,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f217,f1]) ).
fof(f217,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f633,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20 ),
inference(backward_demodulation,[],[f434,f627]) ).
fof(f627,plain,
( sk_c11 = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f612,f589]) ).
fof(f612,plain,
( sk_c11 = multiply(sk_c8,sk_c11)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_20 ),
inference(backward_demodulation,[],[f103,f609]) ).
fof(f609,plain,
( sk_c11 = sk_c10
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(backward_demodulation,[],[f136,f604]) ).
fof(f604,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_3
| ~ spl0_7
| ~ spl0_20 ),
inference(backward_demodulation,[],[f522,f597]) ).
fof(f522,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl0_20 ),
inference(superposition,[],[f218,f167]) ).
fof(f167,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl0_20
<=> sk_c11 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f136,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl0_14
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f103,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl0_8
<=> sk_c11 = multiply(sk_c8,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f434,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| ~ spl0_13 ),
inference(superposition,[],[f218,f131]) ).
fof(f131,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl0_13
<=> sk_c8 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f433,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl0_11 ),
inference(superposition,[],[f218,f120]) ).
fof(f120,plain,
( inverse(sk_c7) = sk_c6
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl0_11
<=> inverse(sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f630,plain,
( sk_c6 = multiply(sk_c7,sk_c11)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_14
| ~ spl0_20 ),
inference(backward_demodulation,[],[f125,f627]) ).
fof(f125,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl0_12
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f631,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20 ),
inference(backward_demodulation,[],[f131,f627]) ).
fof(f74,plain,
( sk_c9 != inverse(sk_c11)
| spl0_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl0_2
<=> sk_c9 = inverse(sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f795,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f794]) ).
fof(f794,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f793]) ).
fof(f793,plain,
( sk_c11 != sk_c11
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f792]) ).
fof(f792,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_20 ),
inference(superposition,[],[f791,f642]) ).
fof(f791,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c11 != X5 )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f790,f609]) ).
fof(f790,plain,
( ! [X5] :
( sk_c10 != X5
| sk_c11 != inverse(X5) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f151,f712]) ).
fof(f712,plain,
( ! [X0] : multiply(X0,sk_c11) = X0
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f701,f393]) ).
fof(f393,plain,
! [X4,X5] : multiply(X4,X5) = multiply(inverse(inverse(X4)),X5),
inference(superposition,[],[f218,f218]) ).
fof(f701,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c11) = X0
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f218,f598]) ).
fof(f598,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c11
| ~ spl0_3
| ~ spl0_7 ),
inference(backward_demodulation,[],[f2,f592]) ).
fof(f151,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl0_18
<=> ! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f789,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f788]) ).
fof(f788,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f787]) ).
fof(f787,plain,
( sk_c11 != sk_c11
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_27 ),
inference(duplicate_literal_removal,[],[f786]) ).
fof(f786,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_27 ),
inference(superposition,[],[f784,f642]) ).
fof(f784,plain,
( ! [X6] :
( sk_c11 != inverse(X6)
| sk_c11 != X6 )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_27 ),
inference(forward_demodulation,[],[f783,f273]) ).
fof(f783,plain,
( ! [X6] :
( sk_c9 != X6
| sk_c11 != inverse(X6) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f782,f712]) ).
fof(f782,plain,
( ! [X6] :
( sk_c11 != inverse(X6)
| sk_c9 != multiply(X6,sk_c11) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f781,f609]) ).
fof(f781,plain,
( ! [X6] :
( sk_c11 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f148,f609]) ).
fof(f148,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl0_17
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f766,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f765]) ).
fof(f765,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20
| spl0_25 ),
inference(trivial_inequality_removal,[],[f764]) ).
fof(f764,plain,
( sk_c11 != sk_c11
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20
| spl0_25 ),
inference(forward_demodulation,[],[f763,f592]) ).
fof(f763,plain,
( identity != sk_c11
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20
| spl0_25 ),
inference(forward_demodulation,[],[f762,f609]) ).
fof(f762,plain,
( identity != sk_c10
| ~ spl0_3
| ~ spl0_7
| spl0_25 ),
inference(forward_demodulation,[],[f257,f597]) ).
fof(f257,plain,
( sk_c10 != multiply(sk_c11,identity)
| spl0_25 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl0_25
<=> sk_c10 = multiply(sk_c11,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f761,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f760]) ).
fof(f760,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f759]) ).
fof(f759,plain,
( sk_c11 != sk_c11
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_demodulation,[],[f758,f642]) ).
fof(f758,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f757]) ).
fof(f757,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c11)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20
| ~ spl0_29 ),
inference(superposition,[],[f713,f642]) ).
fof(f713,plain,
( ! [X1] :
( sk_c11 != inverse(inverse(X1))
| inverse(X1) != X1 )
| ~ spl0_3
| ~ spl0_7
| ~ spl0_29 ),
inference(backward_demodulation,[],[f281,f712]) ).
fof(f281,plain,
( ! [X1] :
( multiply(X1,sk_c11) != inverse(X1)
| sk_c11 != inverse(inverse(X1)) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl0_29
<=> ! [X1] :
( multiply(X1,sk_c11) != inverse(X1)
| sk_c11 != inverse(inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f753,plain,
( spl0_28
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f752,f165,f134,f96,f92,f78,f276]) ).
fof(f276,plain,
( spl0_28
<=> sk_c11 = sk_c2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f92,plain,
( spl0_6
<=> sk_c10 = multiply(sk_c11,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f752,plain,
( sk_c11 = sk_c2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f665,f609]) ).
fof(f665,plain,
( sk_c10 = sk_c2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f94,f597]) ).
fof(f94,plain,
( sk_c10 = multiply(sk_c11,sk_c2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f748,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f747,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f746]) ).
fof(f746,plain,
( sk_c11 != sk_c11
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_19
| ~ spl0_20
| ~ spl0_28 ),
inference(forward_demodulation,[],[f743,f642]) ).
fof(f743,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_3
| ~ spl0_7
| spl0_9
| ~ spl0_19
| ~ spl0_28 ),
inference(backward_demodulation,[],[f106,f737]) ).
fof(f737,plain,
( sk_c11 = sk_c1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_19
| ~ spl0_28 ),
inference(superposition,[],[f712,f600]) ).
fof(f600,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_3
| ~ spl0_7
| ~ spl0_19
| ~ spl0_28 ),
inference(backward_demodulation,[],[f408,f597]) ).
fof(f408,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c11,X0))
| ~ spl0_19
| ~ spl0_28 ),
inference(forward_demodulation,[],[f211,f277]) ).
fof(f277,plain,
( sk_c11 = sk_c2
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f211,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c1,multiply(sk_c11,X0))
| ~ spl0_19 ),
inference(superposition,[],[f3,f157]) ).
fof(f157,plain,
( sk_c2 = multiply(sk_c1,sk_c11)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl0_19
<=> sk_c2 = multiply(sk_c1,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f106,plain,
( sk_c11 != inverse(sk_c1)
| spl0_9 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl0_9
<=> sk_c11 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f683,plain,
( spl0_29
| ~ spl0_27
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f682,f287,f272,f280]) ).
fof(f287,plain,
( spl0_30
<=> ! [X0] :
( inverse(X0) != multiply(X0,sk_c9)
| sk_c9 != inverse(inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f682,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_27
| ~ spl0_30 ),
inference(forward_demodulation,[],[f681,f273]) ).
fof(f681,plain,
( ! [X0] :
( sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c9) )
| ~ spl0_27
| ~ spl0_30 ),
inference(forward_demodulation,[],[f288,f273]) ).
fof(f288,plain,
( ! [X0] :
( sk_c9 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c9) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f678,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_27
| spl0_31 ),
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f677,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_27
| spl0_31 ),
inference(trivial_inequality_removal,[],[f676]) ).
fof(f676,plain,
( sk_c11 != sk_c11
| ~ spl0_3
| ~ spl0_7
| ~ spl0_27
| spl0_31 ),
inference(forward_demodulation,[],[f675,f273]) ).
fof(f675,plain,
( sk_c11 != sk_c9
| ~ spl0_3
| ~ spl0_7
| spl0_31 ),
inference(forward_demodulation,[],[f292,f597]) ).
fof(f292,plain,
( sk_c11 != multiply(sk_c11,sk_c9)
| spl0_31 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f290,plain,
( spl0_31
<=> sk_c11 = multiply(sk_c11,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f674,plain,
( ~ spl0_3
| ~ spl0_7
| spl0_10
| ~ spl0_14
| ~ spl0_20
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f673,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| spl0_10
| ~ spl0_14
| ~ spl0_20
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f672]) ).
fof(f672,plain,
( sk_c11 != sk_c11
| ~ spl0_3
| ~ spl0_7
| spl0_10
| ~ spl0_14
| ~ spl0_20
| ~ spl0_27 ),
inference(forward_demodulation,[],[f671,f597]) ).
fof(f671,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_3
| ~ spl0_7
| spl0_10
| ~ spl0_14
| ~ spl0_20
| ~ spl0_27 ),
inference(forward_demodulation,[],[f670,f273]) ).
fof(f670,plain,
( sk_c11 != multiply(sk_c9,sk_c11)
| ~ spl0_3
| ~ spl0_7
| spl0_10
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f111,f609]) ).
fof(f111,plain,
( sk_c11 != multiply(sk_c9,sk_c10)
| spl0_10 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl0_10
<=> sk_c11 = multiply(sk_c9,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f662,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20
| spl0_26
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f661,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20
| spl0_26
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f660]) ).
fof(f660,plain,
( sk_c11 != sk_c11
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20
| spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[],[f656,f642]) ).
fof(f656,plain,
( sk_c11 != inverse(sk_c11)
| spl0_26
| ~ spl0_27 ),
inference(backward_demodulation,[],[f261,f273]) ).
fof(f261,plain,
( sk_c11 != inverse(sk_c9)
| spl0_26 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl0_26
<=> sk_c11 = inverse(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f655,plain,
( ~ spl0_27
| ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f654,f165,f134,f96,f87,f78,f272]) ).
fof(f87,plain,
( spl0_5
<=> multiply(sk_c11,sk_c10) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f654,plain,
( sk_c11 != sk_c9
| ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f653,f609]) ).
fof(f653,plain,
( sk_c10 != sk_c9
| ~ spl0_3
| spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f88,f597]) ).
fof(f88,plain,
( multiply(sk_c11,sk_c10) != sk_c9
| spl0_5 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f647,plain,
( spl0_27
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f646,f165,f134,f96,f87,f78,f272]) ).
fof(f646,plain,
( sk_c11 = sk_c9
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f606,f609]) ).
fof(f606,plain,
( sk_c10 = sk_c9
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_demodulation,[],[f89,f597]) ).
fof(f89,plain,
( multiply(sk_c11,sk_c10) = sk_c9
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f625,plain,
( spl0_27
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f624,f165,f134,f96,f83,f78,f69,f272]) ).
fof(f69,plain,
( spl0_1
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f83,plain,
( spl0_4
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f624,plain,
( sk_c11 = sk_c9
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(backward_demodulation,[],[f611,f623]) ).
fof(f623,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f615,f597]) ).
fof(f615,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c4,X0)) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(backward_demodulation,[],[f422,f609]) ).
fof(f422,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f218,f71]) ).
fof(f71,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f611,plain,
( sk_c9 = multiply(sk_c4,sk_c11)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_20 ),
inference(backward_demodulation,[],[f85,f609]) ).
fof(f85,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f608,plain,
( spl0_27
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f607,f290,f96,f78,f272]) ).
fof(f607,plain,
( sk_c11 = sk_c9
| ~ spl0_3
| ~ spl0_7
| ~ spl0_31 ),
inference(backward_demodulation,[],[f291,f597]) ).
fof(f291,plain,
( sk_c11 = multiply(sk_c11,sk_c9)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f407,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19
| ~ spl0_27
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f406,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19
| ~ spl0_27
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f405]) ).
fof(f405,plain,
( sk_c11 != sk_c11
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f404,f353]) ).
fof(f353,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_2
| ~ spl0_27 ),
inference(backward_demodulation,[],[f75,f273]) ).
fof(f75,plain,
( sk_c9 = inverse(sk_c11)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f404,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19
| ~ spl0_27
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f403]) ).
fof(f403,plain,
( sk_c11 != inverse(sk_c11)
| sk_c11 != sk_c11
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19
| ~ spl0_27
| ~ spl0_29 ),
inference(superposition,[],[f398,f353]) ).
fof(f398,plain,
( ! [X1] :
( sk_c11 != inverse(inverse(X1))
| inverse(X1) != X1 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19
| ~ spl0_27
| ~ spl0_29 ),
inference(backward_demodulation,[],[f281,f397]) ).
fof(f397,plain,
( ! [X3] : multiply(X3,sk_c11) = X3
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19
| ~ spl0_27 ),
inference(forward_demodulation,[],[f392,f393]) ).
fof(f392,plain,
( ! [X3] : multiply(inverse(inverse(X3)),sk_c11) = X3
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19
| ~ spl0_27 ),
inference(superposition,[],[f218,f356]) ).
fof(f356,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c11
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19
| ~ spl0_27 ),
inference(backward_demodulation,[],[f331,f273]) ).
fof(f331,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c9
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19 ),
inference(backward_demodulation,[],[f2,f321]) ).
fof(f321,plain,
( identity = sk_c9
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19 ),
inference(backward_demodulation,[],[f313,f315]) ).
fof(f315,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[],[f306,f304]) ).
fof(f304,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c11,multiply(sk_c11,X0)))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19 ),
inference(backward_demodulation,[],[f213,f297]) ).
fof(f297,plain,
( sk_c11 = sk_c10
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f295,f94]) ).
fof(f295,plain,
( sk_c11 = multiply(sk_c11,sk_c2)
| ~ spl0_9
| ~ spl0_19 ),
inference(superposition,[],[f224,f157]) ).
fof(f224,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f223,f1]) ).
fof(f223,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c1,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f216]) ).
fof(f216,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl0_9 ),
inference(superposition,[],[f2,f107]) ).
fof(f107,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f213,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c10,multiply(sk_c10,X0)))
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f212,f3]) ).
fof(f212,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(multiply(sk_c10,sk_c10),X0))
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f3,f209]) ).
fof(f209,plain,
( sk_c11 = multiply(sk_c11,multiply(sk_c10,sk_c10))
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f112,f208]) ).
fof(f208,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl0_5 ),
inference(superposition,[],[f3,f89]) ).
fof(f112,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f306,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c11,multiply(sk_c11,X0))) = X0
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19 ),
inference(backward_demodulation,[],[f222,f297]) ).
fof(f222,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,multiply(sk_c11,X0))) = X0
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f221,f1]) ).
fof(f221,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c10,multiply(sk_c11,X0)))
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f220,f3]) ).
fof(f220,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(multiply(sk_c10,sk_c11),X0))
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f3,f219]) ).
fof(f219,plain,
( identity = multiply(sk_c11,multiply(sk_c10,sk_c11))
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f215,f208]) ).
fof(f215,plain,
( identity = multiply(sk_c9,sk_c11)
| ~ spl0_2 ),
inference(superposition,[],[f2,f75]) ).
fof(f313,plain,
( identity = multiply(sk_c11,sk_c9)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f305,f298]) ).
fof(f298,plain,
( sk_c9 = multiply(sk_c11,sk_c11)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19 ),
inference(backward_demodulation,[],[f89,f297]) ).
fof(f305,plain,
( identity = multiply(sk_c11,multiply(sk_c11,sk_c11))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19 ),
inference(backward_demodulation,[],[f219,f297]) ).
fof(f379,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18
| ~ spl0_19
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f378,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18
| ~ spl0_19
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f377]) ).
fof(f377,plain,
( sk_c11 != sk_c11
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18
| ~ spl0_19
| ~ spl0_27 ),
inference(forward_demodulation,[],[f376,f353]) ).
fof(f376,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18
| ~ spl0_19
| ~ spl0_27 ),
inference(forward_demodulation,[],[f375,f353]) ).
fof(f375,plain,
( sk_c11 != inverse(inverse(sk_c11))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18
| ~ spl0_19
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f374]) ).
fof(f374,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(inverse(sk_c11))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18
| ~ spl0_19
| ~ spl0_27 ),
inference(superposition,[],[f372,f356]) ).
fof(f372,plain,
( ! [X5] :
( sk_c11 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f151,f297]) ).
fof(f371,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f370,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f369]) ).
fof(f369,plain,
( sk_c11 != sk_c11
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19
| ~ spl0_27 ),
inference(forward_demodulation,[],[f368,f353]) ).
fof(f368,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19
| ~ spl0_27 ),
inference(forward_demodulation,[],[f367,f353]) ).
fof(f367,plain,
( sk_c11 != inverse(inverse(sk_c11))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f366]) ).
fof(f366,plain,
( sk_c11 != inverse(inverse(sk_c11))
| sk_c11 != sk_c11
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19
| ~ spl0_27 ),
inference(superposition,[],[f360,f356]) ).
fof(f360,plain,
( ! [X6] :
( sk_c11 != multiply(X6,sk_c11)
| sk_c11 != inverse(X6) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_17
| ~ spl0_19
| ~ spl0_27 ),
inference(forward_demodulation,[],[f359,f273]) ).
fof(f359,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c11)
| sk_c11 != inverse(X6) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f358,f297]) ).
fof(f358,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c11) )
| ~ spl0_6
| ~ spl0_9
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f148,f297]) ).
fof(f351,plain,
( spl0_27
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f350,f290,f155,f110,f105,f92,f87,f73,f272]) ).
fof(f350,plain,
( sk_c11 = sk_c9
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19
| ~ spl0_31 ),
inference(forward_demodulation,[],[f291,f315]) ).
fof(f346,plain,
( spl0_28
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f345,f155,f110,f105,f92,f87,f73,f276]) ).
fof(f345,plain,
( sk_c11 = sk_c2
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[],[f299,f315]) ).
fof(f299,plain,
( sk_c11 = multiply(sk_c11,sk_c2)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19 ),
inference(backward_demodulation,[],[f94,f297]) ).
fof(f312,plain,
( spl0_31
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f311,f155,f110,f105,f92,f87,f290]) ).
fof(f311,plain,
( sk_c11 = multiply(sk_c11,sk_c9)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[],[f302,f298]) ).
fof(f302,plain,
( sk_c11 = multiply(sk_c11,multiply(sk_c11,sk_c11))
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19 ),
inference(backward_demodulation,[],[f209,f297]) ).
fof(f293,plain,
( spl0_30
| ~ spl0_31
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f285,f144,f110,f87,f73,f290,f287]) ).
fof(f144,plain,
( spl0_16
<=> ! [X9,X7] :
( sk_c11 != multiply(inverse(X7),sk_c10)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7))
| inverse(X7) != inverse(inverse(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f285,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,sk_c9)
| inverse(X0) != multiply(X0,sk_c9)
| sk_c9 != inverse(inverse(X0)) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f284]) ).
fof(f284,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c9)
| sk_c11 != sk_c11
| sk_c11 != multiply(sk_c11,sk_c9)
| sk_c9 != inverse(inverse(X0)) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f283,f209]) ).
fof(f283,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,multiply(sk_c10,sk_c10))
| sk_c9 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c9)
| sk_c11 != multiply(sk_c11,sk_c9) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[],[f265,f208]) ).
fof(f265,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c9)
| sk_c11 != multiply(sk_c11,sk_c9)
| sk_c9 != inverse(inverse(X0))
| sk_c11 != multiply(sk_c9,sk_c10) )
| ~ spl0_2
| ~ spl0_16 ),
inference(superposition,[],[f145,f75]) ).
fof(f145,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10)
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(X7,inverse(X7)) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f282,plain,
( ~ spl0_27
| ~ spl0_28
| spl0_29
| ~ spl0_5
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f270,f155,f144,f105,f87,f280,f276,f272]) ).
fof(f270,plain,
( ! [X1] :
( multiply(X1,sk_c11) != inverse(X1)
| sk_c11 != inverse(inverse(X1))
| sk_c11 != sk_c2
| sk_c11 != sk_c9 )
| ~ spl0_5
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f269,f157]) ).
fof(f269,plain,
( ! [X1] :
( multiply(X1,sk_c11) != inverse(X1)
| sk_c11 != inverse(inverse(X1))
| sk_c11 != sk_c9
| sk_c11 != multiply(sk_c1,sk_c11) )
| ~ spl0_5
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f266,f89]) ).
fof(f266,plain,
( ! [X1] :
( sk_c11 != inverse(inverse(X1))
| sk_c11 != multiply(sk_c11,sk_c10)
| sk_c11 != multiply(sk_c1,sk_c11)
| multiply(X1,sk_c11) != inverse(X1) )
| ~ spl0_9
| ~ spl0_16 ),
inference(superposition,[],[f145,f107]) ).
fof(f262,plain,
( ~ spl0_25
| ~ spl0_26
| ~ spl0_2
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f253,f141,f73,f259,f255]) ).
fof(f141,plain,
( spl0_15
<=> ! [X4] :
( sk_c10 != multiply(sk_c11,multiply(X4,sk_c11))
| sk_c11 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f253,plain,
( sk_c11 != inverse(sk_c9)
| sk_c10 != multiply(sk_c11,identity)
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[],[f227,f75]) ).
fof(f227,plain,
( sk_c11 != inverse(inverse(sk_c11))
| sk_c10 != multiply(sk_c11,identity)
| ~ spl0_15 ),
inference(superposition,[],[f142,f2]) ).
fof(f142,plain,
( ! [X4] :
( sk_c10 != multiply(sk_c11,multiply(X4,sk_c11))
| sk_c11 != inverse(X4) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f234,plain,
( ~ spl0_6
| ~ spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f233,plain,
( $false
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f232]) ).
fof(f232,plain,
( sk_c10 != sk_c10
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f231,f94]) ).
fof(f231,plain,
( sk_c10 != multiply(sk_c11,sk_c2)
| ~ spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f230]) ).
fof(f230,plain,
( sk_c11 != sk_c11
| sk_c10 != multiply(sk_c11,sk_c2)
| ~ spl0_9
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f228,f107]) ).
fof(f228,plain,
( sk_c11 != inverse(sk_c1)
| sk_c10 != multiply(sk_c11,sk_c2)
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f142,f157]) ).
fof(f204,plain,
( spl0_2
| spl0_12 ),
inference(avatar_split_clause,[],[f23,f123,f73]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c9 = inverse(sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f202,plain,
( spl0_19
| spl0_12 ),
inference(avatar_split_clause,[],[f53,f123,f155]) ).
fof(f53,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c2 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f200,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f34,f92,f134]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c11,sk_c2)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f199,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f41,f92,f118]) ).
fof(f41,axiom,
( sk_c10 = multiply(sk_c11,sk_c2)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f198,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f54,f134,f105]) ).
fof(f54,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f197,plain,
( spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f45,f165,f155]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c2 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f196,plain,
( spl0_19
| spl0_8 ),
inference(avatar_split_clause,[],[f50,f101,f155]) ).
fof(f50,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c2 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f195,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f28,f110,f78]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f194,plain,
( spl0_20
| spl0_9 ),
inference(avatar_split_clause,[],[f55,f105,f165]) ).
fof(f55,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
fof(f193,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f63,f105,f123]) ).
fof(f63,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_60) ).
fof(f192,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f87,f69]) ).
fof(f7,axiom,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f191,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f87,f78]) ).
fof(f8,axiom,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f190,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f43,f123,f92]) ).
fof(f43,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c10 = multiply(sk_c11,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f189,plain,
( spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f19,f96,f73]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f186,plain,
( spl0_20
| spl0_10 ),
inference(avatar_split_clause,[],[f25,f110,f165]) ).
fof(f25,axiom,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f184,plain,
( spl0_2
| spl0_20 ),
inference(avatar_split_clause,[],[f15,f165,f73]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c9 = inverse(sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f182,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f38,f78,f92]) ).
fof(f38,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c11,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f181,plain,
( spl0_5
| spl0_20 ),
inference(avatar_split_clause,[],[f5,f165,f87]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c11,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f180,plain,
( spl0_2
| spl0_13 ),
inference(avatar_split_clause,[],[f22,f129,f73]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c9 = inverse(sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f179,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f9,f87,f96]) ).
fof(f9,axiom,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f178,plain,
( spl0_7
| spl0_19 ),
inference(avatar_split_clause,[],[f49,f155,f96]) ).
fof(f49,axiom,
( sk_c2 = multiply(sk_c1,sk_c11)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f176,plain,
( spl0_19
| spl0_14 ),
inference(avatar_split_clause,[],[f44,f134,f155]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c2 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f173,plain,
( spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f40,f101,f92]) ).
fof(f40,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = multiply(sk_c11,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f172,plain,
( spl0_19
| spl0_3 ),
inference(avatar_split_clause,[],[f48,f78,f155]) ).
fof(f48,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c2 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f171,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f4,f134,f87]) ).
fof(f4,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| multiply(sk_c11,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f170,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f29,f96,f110]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f169,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f62,f105,f129]) ).
fof(f62,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).
fof(f168,plain,
( spl0_6
| spl0_20 ),
inference(avatar_split_clause,[],[f35,f165,f92]) ).
fof(f35,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c11,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f163,plain,
( spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f21,f118,f73]) ).
fof(f21,axiom,
( inverse(sk_c7) = sk_c6
| sk_c9 = inverse(sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f162,plain,
( spl0_19
| spl0_13 ),
inference(avatar_split_clause,[],[f52,f129,f155]) ).
fof(f52,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c2 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f161,plain,
( spl0_11
| spl0_19 ),
inference(avatar_split_clause,[],[f51,f155,f118]) ).
fof(f51,axiom,
( sk_c2 = multiply(sk_c1,sk_c11)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f159,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f42,f129,f92]) ).
fof(f42,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = multiply(sk_c11,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f152,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_10
| spl0_15
| spl0_16
| spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f67,f150,f147,f144,f141,f110,f87,f73]) ).
fof(f67,plain,
! [X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c10 != inverse(X6)
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c10 != multiply(sk_c11,multiply(X4,sk_c11))
| inverse(X7) != inverse(inverse(X9))
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(sk_c9,sk_c10)
| multiply(sk_c11,sk_c10) != sk_c9
| sk_c9 != inverse(sk_c11)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != inverse(X5)
| sk_c11 != inverse(X4) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c9 != inverse(sk_c11)
| sk_c11 != inverse(X4)
| sk_c11 != multiply(sk_c9,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c10 != multiply(X5,sk_c11)
| sk_c10 != multiply(sk_c11,X3)
| multiply(X4,sk_c11) != X3
| sk_c11 != multiply(X7,inverse(X7))
| multiply(sk_c11,sk_c10) != sk_c9
| sk_c11 != inverse(X5)
| sk_c11 != multiply(inverse(X7),sk_c10) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X3,X10,X6,X9,X7,X4,X5] :
( sk_c9 != inverse(sk_c11)
| sk_c11 != inverse(X4)
| sk_c11 != multiply(sk_c9,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| inverse(X9) != X10
| inverse(X7) != inverse(X10)
| multiply(X9,inverse(X7)) != X10
| sk_c10 != multiply(X5,sk_c11)
| sk_c10 != multiply(sk_c11,X3)
| multiply(X4,sk_c11) != X3
| sk_c11 != multiply(X7,inverse(X7))
| multiply(sk_c11,sk_c10) != sk_c9
| sk_c11 != inverse(X5)
| sk_c11 != multiply(inverse(X7),sk_c10) ),
inference(equality_resolution,[],[f64]) ).
fof(f64,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( inverse(X7) != X8
| sk_c9 != inverse(sk_c11)
| sk_c11 != inverse(X4)
| sk_c11 != multiply(sk_c9,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| inverse(X9) != X10
| inverse(X10) != X8
| multiply(X9,X8) != X10
| sk_c10 != multiply(X5,sk_c11)
| sk_c10 != multiply(sk_c11,X3)
| multiply(X4,sk_c11) != X3
| sk_c11 != multiply(X7,X8)
| multiply(sk_c11,sk_c10) != sk_c9
| sk_c11 != inverse(X5)
| sk_c11 != multiply(X8,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
fof(f139,plain,
( spl0_14
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f73,f134]) ).
fof(f14,axiom,
( sk_c9 = inverse(sk_c11)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f138,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f61,f118,f105]) ).
fof(f61,axiom,
( inverse(sk_c7) = sk_c6
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_58) ).
fof(f137,plain,
( spl0_14
| spl0_10 ),
inference(avatar_split_clause,[],[f24,f110,f134]) ).
fof(f24,axiom,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f127,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f58,f78,f105]) ).
fof(f58,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
fof(f115,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f20,f73,f101]) ).
fof(f20,axiom,
( sk_c9 = inverse(sk_c11)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f114,plain,
( spl0_7
| spl0_9 ),
inference(avatar_split_clause,[],[f59,f105,f96]) ).
fof(f59,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
fof(f108,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f60,f105,f101]) ).
fof(f60,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).
fof(f99,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f39,f96,f92]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = multiply(sk_c11,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f90,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f87,f83]) ).
fof(f6,axiom,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f81,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f73,f78]) ).
fof(f18,axiom,
( sk_c9 = inverse(sk_c11)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP307-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:44:00 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.52 % (13055)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (13072)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (13067)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (13063)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (13051)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 % (13056)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (13081)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (13053)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (13054)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54 % (13058)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (13066)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (13073)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54 % (13068)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.54 % (13070)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (13060)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (13062)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (13057)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.55 % (13082)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 % (13059)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (13069)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (13060)Instruction limit reached!
% 0.20/0.55 % (13060)------------------------------
% 0.20/0.55 % (13060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (13078)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55 % (13064)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (13060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (13060)Termination reason: Unknown
% 0.20/0.55 % (13060)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (13077)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56 % (13071)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 % (13074)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56 % (13060)Memory used [KB]: 5373
% 0.20/0.56 % (13060)Time elapsed: 0.004 s
% 0.20/0.56 % (13060)Instructions burned: 3 (million)
% 0.20/0.56 % (13060)------------------------------
% 0.20/0.56 % (13060)------------------------------
% 0.20/0.56 % (13079)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.56 % (13076)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.56 TRYING [3]
% 0.20/0.56 TRYING [1]
% 0.20/0.56 TRYING [2]
% 0.20/0.57 % (13059)Instruction limit reached!
% 0.20/0.57 % (13059)------------------------------
% 0.20/0.57 % (13059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (13059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (13059)Termination reason: Unknown
% 0.20/0.57 % (13059)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (13059)Memory used [KB]: 5500
% 0.20/0.57 % (13059)Time elapsed: 0.113 s
% 0.20/0.57 % (13059)Instructions burned: 8 (million)
% 0.20/0.57 % (13059)------------------------------
% 0.20/0.57 % (13059)------------------------------
% 0.20/0.57 TRYING [3]
% 0.20/0.57 TRYING [1]
% 0.20/0.57 TRYING [2]
% 0.20/0.57 TRYING [4]
% 1.74/0.58 % (13080)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.74/0.58 % (13061)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.74/0.58 TRYING [3]
% 1.74/0.58 % (13075)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.74/0.58 TRYING [4]
% 1.74/0.59 % (13054)Instruction limit reached!
% 1.74/0.59 % (13054)------------------------------
% 1.74/0.59 % (13054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.59 % (13054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.59 % (13054)Termination reason: Unknown
% 1.87/0.59 % (13054)Termination phase: Saturation
% 1.87/0.59
% 1.87/0.59 % (13054)Memory used [KB]: 1151
% 1.87/0.59 % (13054)Time elapsed: 0.178 s
% 1.87/0.59 % (13054)Instructions burned: 38 (million)
% 1.87/0.59 % (13054)------------------------------
% 1.87/0.59 % (13054)------------------------------
% 1.87/0.60 % (13082)First to succeed.
% 1.87/0.60 % (13055)Instruction limit reached!
% 1.87/0.60 % (13055)------------------------------
% 1.87/0.60 % (13055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.60 % (13055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.60 % (13055)Termination reason: Unknown
% 1.87/0.60 % (13055)Termination phase: Saturation
% 1.87/0.60
% 1.87/0.60 % (13055)Memory used [KB]: 6652
% 1.87/0.60 % (13055)Time elapsed: 0.202 s
% 1.87/0.60 % (13055)Instructions burned: 53 (million)
% 1.87/0.60 % (13055)------------------------------
% 1.87/0.60 % (13055)------------------------------
% 1.87/0.61 % (13058)Instruction limit reached!
% 1.87/0.61 % (13058)------------------------------
% 1.87/0.61 % (13058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.61 % (13058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.61 % (13058)Termination reason: Unknown
% 1.87/0.61 % (13058)Termination phase: Finite model building constraint generation
% 1.87/0.61
% 1.87/0.61 % (13058)Memory used [KB]: 6908
% 1.87/0.61 % (13058)Time elapsed: 0.200 s
% 1.87/0.61 % (13058)Instructions burned: 51 (million)
% 1.87/0.61 % (13058)------------------------------
% 1.87/0.61 % (13058)------------------------------
% 1.87/0.61 % (13056)Instruction limit reached!
% 1.87/0.61 % (13056)------------------------------
% 1.87/0.61 % (13056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.61 % (13056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.61 % (13056)Termination reason: Unknown
% 1.87/0.61 % (13056)Termination phase: Saturation
% 1.87/0.61
% 1.87/0.61 % (13056)Memory used [KB]: 6396
% 1.87/0.61 % (13056)Time elapsed: 0.196 s
% 1.87/0.61 % (13056)Instructions burned: 51 (million)
% 1.87/0.61 % (13056)------------------------------
% 1.87/0.61 % (13056)------------------------------
% 1.87/0.62 TRYING [4]
% 1.87/0.62 % (13082)Refutation found. Thanks to Tanya!
% 1.87/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.87/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.87/0.62 % (13082)------------------------------
% 1.87/0.62 % (13082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.62 % (13082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.62 % (13082)Termination reason: Refutation
% 1.87/0.62
% 1.87/0.62 % (13082)Memory used [KB]: 5884
% 1.87/0.62 % (13082)Time elapsed: 0.210 s
% 1.87/0.62 % (13082)Instructions burned: 24 (million)
% 1.87/0.62 % (13082)------------------------------
% 1.87/0.62 % (13082)------------------------------
% 1.87/0.62 % (13046)Success in time 0.265 s
%------------------------------------------------------------------------------