TSTP Solution File: GRP338-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP338-1 : 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 : n010.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 16:21:21 EDT 2022
% Result : Unsatisfiable 1.92s 0.63s
% Output : Refutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 72
% Syntax : Number of formulae : 308 ( 16 unt; 0 def)
% Number of atoms : 1402 ( 424 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 2175 (1081 ~;1062 |; 0 &)
% ( 32 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 33 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 125 ( 125 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1279,plain,
$false,
inference(avatar_sat_refutation,[],[f73,f78,f96,f101,f110,f111,f112,f113,f118,f119,f125,f133,f134,f135,f136,f137,f138,f143,f151,f152,f153,f159,f160,f161,f171,f172,f182,f184,f185,f186,f187,f195,f196,f197,f198,f199,f205,f207,f208,f209,f210,f235,f244,f278,f356,f373,f379,f406,f441,f448,f486,f644,f672,f707,f715,f722,f724,f791,f805,f1255,f1263,f1278]) ).
fof(f1278,plain,
( ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_20
| ~ spl4_21 ),
inference(avatar_contradiction_clause,[],[f1277]) ).
fof(f1277,plain,
( $false
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_20
| ~ spl4_21 ),
inference(trivial_inequality_removal,[],[f1276]) ).
fof(f1276,plain,
( identity != identity
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_20
| ~ spl4_21 ),
inference(superposition,[],[f1273,f469]) ).
fof(f469,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f455,f454]) ).
fof(f454,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(superposition,[],[f415,f266]) ).
fof(f266,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f254,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f254,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f247,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f247,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,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(f415,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f266,f267]) ).
fof(f267,plain,
! [X6,X5] : multiply(inverse(inverse(X5)),X6) = multiply(X5,X6),
inference(superposition,[],[f254,f254]) ).
fof(f455,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f415,f383]) ).
fof(f383,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f254,f266]) ).
fof(f1273,plain,
( identity != inverse(identity)
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_20
| ~ spl4_21 ),
inference(forward_demodulation,[],[f1271,f469]) ).
fof(f1271,plain,
( identity != inverse(inverse(identity))
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_20
| ~ spl4_21 ),
inference(trivial_inequality_removal,[],[f1269]) ).
fof(f1269,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_20
| ~ spl4_21 ),
inference(superposition,[],[f1258,f2]) ).
fof(f1258,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_20
| ~ spl4_21 ),
inference(forward_demodulation,[],[f1257,f585]) ).
fof(f585,plain,
( identity = sk_c11
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11 ),
inference(forward_demodulation,[],[f117,f568]) ).
fof(f568,plain,
( identity = multiply(sk_c5,sk_c8)
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9 ),
inference(backward_demodulation,[],[f562,f567]) ).
fof(f567,plain,
( sk_c5 = sk_c6
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9 ),
inference(backward_demodulation,[],[f559,f564]) ).
fof(f564,plain,
( sk_c5 = inverse(sk_c8)
| ~ spl4_8 ),
inference(superposition,[],[f454,f100]) ).
fof(f100,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl4_8
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f559,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl4_6
| ~ spl4_9 ),
inference(backward_demodulation,[],[f91,f557]) ).
fof(f557,plain,
( sk_c8 = sk_c7
| ~ spl4_6
| ~ spl4_9 ),
inference(forward_demodulation,[],[f554,f105]) ).
fof(f105,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl4_9
<=> sk_c8 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f554,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl4_6 ),
inference(superposition,[],[f454,f91]) ).
fof(f91,plain,
( inverse(sk_c7) = sk_c6
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl4_6
<=> inverse(sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f562,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl4_6
| ~ spl4_9 ),
inference(forward_demodulation,[],[f556,f557]) ).
fof(f556,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl4_6 ),
inference(superposition,[],[f2,f91]) ).
fof(f117,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl4_11
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f1257,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_20
| ~ spl4_21 ),
inference(forward_demodulation,[],[f1256,f585]) ).
fof(f1256,plain,
( ! [X3] :
( sk_c11 != multiply(X3,identity)
| sk_c11 != inverse(X3) )
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_20
| ~ spl4_21 ),
inference(forward_demodulation,[],[f170,f677]) ).
fof(f677,plain,
( identity = sk_c10
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21 ),
inference(backward_demodulation,[],[f586,f673]) ).
fof(f673,plain,
( identity = multiply(sk_c3,identity)
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21 ),
inference(superposition,[],[f413,f590]) ).
fof(f590,plain,
( identity = inverse(sk_c3)
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21 ),
inference(backward_demodulation,[],[f181,f585]) ).
fof(f181,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl4_21
<=> sk_c11 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f413,plain,
! [X4] : identity = multiply(X4,inverse(X4)),
inference(superposition,[],[f267,f2]) ).
fof(f586,plain,
( sk_c10 = multiply(sk_c3,identity)
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11 ),
inference(backward_demodulation,[],[f68,f585]) ).
fof(f68,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl4_1
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f170,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c10)
| sk_c11 != inverse(X3) )
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl4_20
<=> ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != multiply(X3,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f1263,plain,
~ spl4_32,
inference(avatar_contradiction_clause,[],[f1262]) ).
fof(f1262,plain,
( $false
| ~ spl4_32 ),
inference(trivial_inequality_removal,[],[f1261]) ).
fof(f1261,plain,
( identity != identity
| ~ spl4_32 ),
inference(duplicate_literal_removal,[],[f1259]) ).
fof(f1259,plain,
( identity != identity
| identity != identity
| ~ spl4_32 ),
inference(superposition,[],[f440,f469]) ).
fof(f440,plain,
( ! [X0] :
( inverse(X0) != X0
| identity != inverse(X0) )
| ~ spl4_32 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f439,plain,
( spl4_32
<=> ! [X0] :
( inverse(X0) != X0
| identity != inverse(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).
fof(f1255,plain,
( ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_23 ),
inference(avatar_contradiction_clause,[],[f1254]) ).
fof(f1254,plain,
( $false
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_23 ),
inference(trivial_inequality_removal,[],[f1252]) ).
fof(f1252,plain,
( identity != identity
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_23 ),
inference(superposition,[],[f841,f469]) ).
fof(f841,plain,
( ! [X0] : identity != inverse(X0)
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_23 ),
inference(duplicate_literal_removal,[],[f840]) ).
fof(f840,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != inverse(X0) )
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_23 ),
inference(forward_demodulation,[],[f835,f469]) ).
fof(f835,plain,
( ! [X0] :
( identity != inverse(X0)
| inverse(X0) != inverse(identity) )
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_23 ),
inference(duplicate_literal_removal,[],[f830]) ).
fof(f830,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != inverse(X0)
| inverse(X0) != inverse(identity) )
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_23 ),
inference(superposition,[],[f811,f413]) ).
fof(f811,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| identity != inverse(X7)
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_23 ),
inference(forward_demodulation,[],[f810,f585]) ).
fof(f810,plain,
( ! [X9,X7] :
( sk_c11 != inverse(X7)
| inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7))) )
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_23 ),
inference(forward_demodulation,[],[f809,f415]) ).
fof(f809,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != multiply(inverse(X7),identity) )
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_23 ),
inference(trivial_inequality_removal,[],[f808]) ).
fof(f808,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| identity != identity
| sk_c11 != multiply(inverse(X7),identity)
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_23 ),
inference(forward_demodulation,[],[f807,f585]) ).
fof(f807,plain,
( ! [X9,X7] :
( identity != sk_c11
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(inverse(X7),identity)
| inverse(X7) != inverse(multiply(X9,inverse(X7))) )
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_23 ),
inference(forward_demodulation,[],[f806,f677]) ).
fof(f806,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != multiply(inverse(X7),sk_c10)
| identity != sk_c11
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl4_23 ),
inference(forward_demodulation,[],[f194,f413]) ).
fof(f194,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != multiply(X7,inverse(X7))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10) )
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl4_23
<=> ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f805,plain,
( ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f804]) ).
fof(f804,plain,
( $false
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_24 ),
inference(trivial_inequality_removal,[],[f803]) ).
fof(f803,plain,
( identity != identity
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_24 ),
inference(superposition,[],[f800,f469]) ).
fof(f800,plain,
( identity != inverse(identity)
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_24 ),
inference(trivial_inequality_removal,[],[f796]) ).
fof(f796,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_24 ),
inference(superposition,[],[f794,f1]) ).
fof(f794,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_24 ),
inference(forward_demodulation,[],[f793,f585]) ).
fof(f793,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_24 ),
inference(forward_demodulation,[],[f792,f677]) ).
fof(f792,plain,
( ! [X5] :
( sk_c10 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_24 ),
inference(forward_demodulation,[],[f204,f585]) ).
fof(f204,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) )
| ~ spl4_24 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl4_24
<=> ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
fof(f791,plain,
( ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_17
| ~ spl4_21 ),
inference(avatar_contradiction_clause,[],[f790]) ).
fof(f790,plain,
( $false
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_17
| ~ spl4_21 ),
inference(trivial_inequality_removal,[],[f789]) ).
fof(f789,plain,
( identity != identity
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_17
| ~ spl4_21 ),
inference(superposition,[],[f781,f469]) ).
fof(f781,plain,
( identity != inverse(identity)
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_17
| ~ spl4_21 ),
inference(trivial_inequality_removal,[],[f777]) ).
fof(f777,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_17
| ~ spl4_21 ),
inference(superposition,[],[f718,f1]) ).
fof(f718,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_17
| ~ spl4_21 ),
inference(forward_demodulation,[],[f717,f585]) ).
fof(f717,plain,
( ! [X4] :
( sk_c11 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_17
| ~ spl4_21 ),
inference(forward_demodulation,[],[f716,f677]) ).
fof(f716,plain,
( ! [X4] :
( sk_c11 != multiply(X4,sk_c10)
| identity != inverse(X4) )
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_17
| ~ spl4_21 ),
inference(forward_demodulation,[],[f150,f677]) ).
fof(f150,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c11 != multiply(X4,sk_c10) )
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl4_17
<=> ! [X4] :
( sk_c10 != inverse(X4)
| sk_c11 != multiply(X4,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f724,plain,
( spl4_29
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f723,f222,f179,f115,f103,f98,f89,f66,f237]) ).
fof(f237,plain,
( spl4_29
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
fof(f222,plain,
( spl4_26
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
fof(f723,plain,
( identity = sk_c9
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| ~ spl4_26 ),
inference(forward_demodulation,[],[f223,f677]) ).
fof(f223,plain,
( sk_c10 = sk_c9
| ~ spl4_26 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f722,plain,
( spl4_29
| ~ spl4_1
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f721,f179,f115,f103,f98,f93,f89,f66,f237]) ).
fof(f93,plain,
( spl4_7
<=> multiply(sk_c10,sk_c11) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f721,plain,
( identity = sk_c9
| ~ spl4_1
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21 ),
inference(forward_demodulation,[],[f720,f677]) ).
fof(f720,plain,
( sk_c10 = sk_c9
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11 ),
inference(forward_demodulation,[],[f719,f415]) ).
fof(f719,plain,
( sk_c9 = multiply(sk_c10,identity)
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11 ),
inference(forward_demodulation,[],[f95,f585]) ).
fof(f95,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f715,plain,
( spl4_29
| ~ spl4_1
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_15
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f714,f179,f140,f115,f103,f98,f89,f80,f66,f237]) ).
fof(f80,plain,
( spl4_4
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f140,plain,
( spl4_15
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f714,plain,
( identity = sk_c9
| ~ spl4_1
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_15
| ~ spl4_21 ),
inference(forward_demodulation,[],[f713,f1]) ).
fof(f713,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_15
| ~ spl4_21 ),
inference(forward_demodulation,[],[f712,f690]) ).
fof(f690,plain,
( identity = sk_c4
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_15
| ~ spl4_21 ),
inference(forward_demodulation,[],[f687,f469]) ).
fof(f687,plain,
( sk_c4 = inverse(identity)
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_15
| ~ spl4_21 ),
inference(backward_demodulation,[],[f668,f677]) ).
fof(f668,plain,
( sk_c4 = inverse(sk_c10)
| ~ spl4_15 ),
inference(superposition,[],[f454,f142]) ).
fof(f142,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f712,plain,
( sk_c9 = multiply(sk_c4,identity)
| ~ spl4_1
| ~ spl4_4
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21 ),
inference(forward_demodulation,[],[f82,f677]) ).
fof(f82,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f707,plain,
( ~ spl4_29
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| spl4_26 ),
inference(avatar_split_clause,[],[f706,f222,f179,f115,f103,f98,f89,f66,f237]) ).
fof(f706,plain,
( identity != sk_c9
| ~ spl4_1
| ~ spl4_6
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21
| spl4_26 ),
inference(forward_demodulation,[],[f224,f677]) ).
fof(f224,plain,
( sk_c10 != sk_c9
| spl4_26 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f672,plain,
( ~ spl4_15
| ~ spl4_15
| spl4_30 ),
inference(avatar_split_clause,[],[f671,f241,f140,f140]) ).
fof(f241,plain,
( spl4_30
<=> sk_c10 = inverse(inverse(sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).
fof(f671,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl4_15
| spl4_30 ),
inference(backward_demodulation,[],[f243,f668]) ).
fof(f243,plain,
( sk_c10 != inverse(inverse(sk_c10))
| spl4_30 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f644,plain,
( ~ spl4_26
| ~ spl4_6
| spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f640,f115,f103,f98,f93,f89,f222]) ).
fof(f640,plain,
( sk_c10 != sk_c9
| ~ spl4_6
| spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11 ),
inference(forward_demodulation,[],[f639,f415]) ).
fof(f639,plain,
( sk_c9 != multiply(sk_c10,identity)
| ~ spl4_6
| spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11 ),
inference(forward_demodulation,[],[f94,f585]) ).
fof(f94,plain,
( multiply(sk_c10,sk_c11) != sk_c9
| spl4_7 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f486,plain,
( ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_24
| ~ spl4_26 ),
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f485,plain,
( $false
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_24
| ~ spl4_26 ),
inference(trivial_inequality_removal,[],[f484]) ).
fof(f484,plain,
( identity != identity
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_24
| ~ spl4_26 ),
inference(superposition,[],[f481,f319]) ).
fof(f319,plain,
( identity = inverse(identity)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_26 ),
inference(forward_demodulation,[],[f304,f315]) ).
fof(f315,plain,
( identity = sk_c2
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_26 ),
inference(forward_demodulation,[],[f310,f2]) ).
fof(f310,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_26 ),
inference(backward_demodulation,[],[f269,f303]) ).
fof(f303,plain,
( identity = sk_c10
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_26 ),
inference(backward_demodulation,[],[f299,f302]) ).
fof(f302,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_26 ),
inference(forward_demodulation,[],[f301,f1]) ).
fof(f301,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,X0)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_26 ),
inference(forward_demodulation,[],[f295,f1]) ).
fof(f295,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(identity,multiply(identity,X0))
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_26 ),
inference(backward_demodulation,[],[f261,f286]) ).
fof(f286,plain,
( identity = sk_c11
| ~ spl4_7
| ~ spl4_26 ),
inference(forward_demodulation,[],[f281,f2]) ).
fof(f281,plain,
( sk_c11 = multiply(inverse(sk_c10),sk_c10)
| ~ spl4_7
| ~ spl4_26 ),
inference(backward_demodulation,[],[f268,f223]) ).
fof(f268,plain,
( sk_c11 = multiply(inverse(sk_c10),sk_c9)
| ~ spl4_7 ),
inference(superposition,[],[f254,f95]) ).
fof(f261,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c11,multiply(sk_c11,X0))
| ~ spl4_2
| ~ spl4_3 ),
inference(superposition,[],[f3,f258]) ).
fof(f258,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl4_2
| ~ spl4_3 ),
inference(superposition,[],[f255,f72]) ).
fof(f72,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl4_2
<=> sk_c11 = multiply(sk_c1,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f255,plain,
( ! [X10] : multiply(sk_c11,multiply(sk_c1,X10)) = X10
| ~ spl4_3 ),
inference(forward_demodulation,[],[f250,f1]) ).
fof(f250,plain,
( ! [X10] : multiply(sk_c11,multiply(sk_c1,X10)) = multiply(identity,X10)
| ~ spl4_3 ),
inference(superposition,[],[f3,f211]) ).
fof(f211,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl4_3 ),
inference(superposition,[],[f2,f77]) ).
fof(f77,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl4_3
<=> sk_c11 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f299,plain,
( sk_c10 = multiply(sk_c10,identity)
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_26 ),
inference(backward_demodulation,[],[f276,f286]) ).
fof(f276,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl4_5
| ~ spl4_10 ),
inference(forward_demodulation,[],[f274,f86]) ).
fof(f86,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl4_5
<=> sk_c10 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f274,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c11)
| ~ spl4_10 ),
inference(superposition,[],[f254,f109]) ).
fof(f109,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl4_10
<=> sk_c11 = multiply(sk_c2,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f269,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl4_5 ),
inference(superposition,[],[f254,f212]) ).
fof(f212,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl4_5 ),
inference(superposition,[],[f2,f86]) ).
fof(f304,plain,
( identity = inverse(sk_c2)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_26 ),
inference(backward_demodulation,[],[f86,f303]) ).
fof(f481,plain,
( identity != inverse(identity)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_24
| ~ spl4_26 ),
inference(trivial_inequality_removal,[],[f477]) ).
fof(f477,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_24
| ~ spl4_26 ),
inference(superposition,[],[f451,f1]) ).
fof(f451,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_24
| ~ spl4_26 ),
inference(forward_demodulation,[],[f450,f286]) ).
fof(f450,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_24
| ~ spl4_26 ),
inference(forward_demodulation,[],[f449,f303]) ).
fof(f449,plain,
( ! [X5] :
( sk_c10 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl4_7
| ~ spl4_24
| ~ spl4_26 ),
inference(forward_demodulation,[],[f204,f286]) ).
fof(f448,plain,
spl4_31,
inference(avatar_contradiction_clause,[],[f447]) ).
fof(f447,plain,
( $false
| spl4_31 ),
inference(trivial_inequality_removal,[],[f446]) ).
fof(f446,plain,
( identity != identity
| spl4_31 ),
inference(superposition,[],[f437,f1]) ).
fof(f437,plain,
( identity != multiply(identity,identity)
| spl4_31 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f435,plain,
( spl4_31
<=> identity = multiply(identity,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).
fof(f441,plain,
( ~ spl4_31
| spl4_32
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_23
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f433,f222,f193,f107,f93,f84,f75,f70,f439,f435]) ).
fof(f433,plain,
( ! [X0] :
( inverse(X0) != X0
| identity != multiply(identity,identity)
| identity != inverse(X0) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_23
| ~ spl4_26 ),
inference(forward_demodulation,[],[f432,f415]) ).
fof(f432,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| identity != inverse(X0)
| inverse(X0) != multiply(X0,identity) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_23
| ~ spl4_26 ),
inference(forward_demodulation,[],[f429,f415]) ).
fof(f429,plain,
( ! [X0] :
( identity != inverse(multiply(X0,identity))
| identity != multiply(identity,identity)
| inverse(X0) != multiply(X0,identity) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_23
| ~ spl4_26 ),
inference(trivial_inequality_removal,[],[f423]) ).
fof(f423,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| inverse(X0) != multiply(X0,identity)
| identity != inverse(multiply(X0,identity))
| identity != identity )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_23
| ~ spl4_26 ),
inference(superposition,[],[f421,f319]) ).
fof(f421,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| identity != multiply(X7,inverse(X7))
| inverse(X9) != multiply(X9,inverse(X7))
| identity != inverse(X7) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_23
| ~ spl4_26 ),
inference(backward_demodulation,[],[f409,f415]) ).
fof(f409,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| identity != multiply(X7,inverse(X7))
| inverse(X9) != multiply(X9,inverse(X7))
| identity != multiply(inverse(X7),identity) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_23
| ~ spl4_26 ),
inference(forward_demodulation,[],[f408,f286]) ).
fof(f408,plain,
( ! [X9,X7] :
( identity != multiply(X7,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(inverse(X7),identity) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_23
| ~ spl4_26 ),
inference(forward_demodulation,[],[f407,f286]) ).
fof(f407,plain,
( ! [X9,X7] :
( sk_c11 != multiply(X7,inverse(X7))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(inverse(X7),identity)
| inverse(X7) != inverse(multiply(X9,inverse(X7))) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_23
| ~ spl4_26 ),
inference(forward_demodulation,[],[f194,f303]) ).
fof(f406,plain,
( ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_20
| ~ spl4_26 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f405,plain,
( $false
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_20
| ~ spl4_26 ),
inference(trivial_inequality_removal,[],[f404]) ).
fof(f404,plain,
( identity != identity
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_20
| ~ spl4_26 ),
inference(superposition,[],[f400,f319]) ).
fof(f400,plain,
( identity != inverse(identity)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_20
| ~ spl4_26 ),
inference(forward_demodulation,[],[f399,f319]) ).
fof(f399,plain,
( identity != inverse(inverse(identity))
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_20
| ~ spl4_26 ),
inference(trivial_inequality_removal,[],[f394]) ).
fof(f394,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_20
| ~ spl4_26 ),
inference(superposition,[],[f376,f2]) ).
fof(f376,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_20
| ~ spl4_26 ),
inference(forward_demodulation,[],[f375,f286]) ).
fof(f375,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_20
| ~ spl4_26 ),
inference(forward_demodulation,[],[f374,f286]) ).
fof(f374,plain,
( ! [X3] :
( sk_c11 != multiply(X3,identity)
| sk_c11 != inverse(X3) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_20
| ~ spl4_26 ),
inference(forward_demodulation,[],[f170,f303]) ).
fof(f379,plain,
( ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_26
| spl4_30 ),
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f378,plain,
( $false
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_26
| spl4_30 ),
inference(trivial_inequality_removal,[],[f377]) ).
fof(f377,plain,
( identity != identity
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_26
| spl4_30 ),
inference(superposition,[],[f321,f319]) ).
fof(f321,plain,
( identity != inverse(identity)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_26
| spl4_30 ),
inference(forward_demodulation,[],[f308,f319]) ).
fof(f308,plain,
( identity != inverse(inverse(identity))
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_26
| spl4_30 ),
inference(backward_demodulation,[],[f243,f303]) ).
fof(f373,plain,
( ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_17
| ~ spl4_26 ),
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f372,plain,
( $false
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_17
| ~ spl4_26 ),
inference(trivial_inequality_removal,[],[f371]) ).
fof(f371,plain,
( identity != identity
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_17
| ~ spl4_26 ),
inference(superposition,[],[f364,f319]) ).
fof(f364,plain,
( identity != inverse(identity)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_17
| ~ spl4_26 ),
inference(trivial_inequality_removal,[],[f361]) ).
fof(f361,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_17
| ~ spl4_26 ),
inference(superposition,[],[f360,f1]) ).
fof(f360,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_17
| ~ spl4_26 ),
inference(forward_demodulation,[],[f359,f286]) ).
fof(f359,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c11 != multiply(X4,identity) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_17
| ~ spl4_26 ),
inference(forward_demodulation,[],[f358,f303]) ).
fof(f358,plain,
( ! [X4] :
( sk_c11 != multiply(X4,sk_c10)
| identity != inverse(X4) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_17
| ~ spl4_26 ),
inference(forward_demodulation,[],[f150,f303]) ).
fof(f356,plain,
( ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_26
| spl4_27 ),
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f355,plain,
( $false
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_26
| spl4_27 ),
inference(trivial_inequality_removal,[],[f354]) ).
fof(f354,plain,
( identity != identity
| ~ spl4_2
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10
| ~ spl4_26
| spl4_27 ),
inference(superposition,[],[f342,f303]) ).
fof(f342,plain,
( identity != sk_c10
| ~ spl4_7
| ~ spl4_26
| spl4_27 ),
inference(forward_demodulation,[],[f284,f286]) ).
fof(f284,plain,
( sk_c10 != sk_c11
| ~ spl4_26
| spl4_27 ),
inference(backward_demodulation,[],[f229,f223]) ).
fof(f229,plain,
( sk_c11 != sk_c9
| spl4_27 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl4_27
<=> sk_c11 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
fof(f278,plain,
( spl4_26
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f277,f107,f93,f84,f222]) ).
fof(f277,plain,
( sk_c10 = sk_c9
| ~ spl4_5
| ~ spl4_7
| ~ spl4_10 ),
inference(backward_demodulation,[],[f95,f276]) ).
fof(f244,plain,
( ~ spl4_29
| ~ spl4_30
| ~ spl4_14 ),
inference(avatar_split_clause,[],[f214,f131,f241,f237]) ).
fof(f131,plain,
( spl4_14
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f214,plain,
( sk_c10 != inverse(inverse(sk_c10))
| identity != sk_c9
| ~ spl4_14 ),
inference(superposition,[],[f132,f2]) ).
fof(f132,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) )
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f235,plain,
( ~ spl4_27
| ~ spl4_5
| ~ spl4_10
| ~ spl4_14 ),
inference(avatar_split_clause,[],[f216,f131,f107,f84,f227]) ).
fof(f216,plain,
( sk_c10 != inverse(sk_c2)
| sk_c11 != sk_c9
| ~ spl4_10
| ~ spl4_14 ),
inference(superposition,[],[f132,f109]) ).
fof(f210,plain,
( spl4_2
| spl4_21 ),
inference(avatar_split_clause,[],[f25,f179,f70]) ).
fof(f25,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f209,plain,
( spl4_15
| spl4_2 ),
inference(avatar_split_clause,[],[f27,f70,f140]) ).
fof(f27,axiom,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f208,plain,
( spl4_5
| spl4_11 ),
inference(avatar_split_clause,[],[f48,f115,f84]) ).
fof(f48,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f207,plain,
( spl4_3
| spl4_21 ),
inference(avatar_split_clause,[],[f15,f179,f75]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f205,plain,
( spl4_24
| spl4_22 ),
inference(avatar_split_clause,[],[f63,f189,f203]) ).
fof(f189,plain,
( spl4_22
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f63,plain,
! [X5] :
( sP3
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11) ),
inference(cnf_transformation,[],[f63_D]) ).
fof(f63_D,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f199,plain,
( spl4_7
| spl4_21 ),
inference(avatar_split_clause,[],[f5,f179,f93]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f198,plain,
( spl4_21
| spl4_5 ),
inference(avatar_split_clause,[],[f45,f84,f179]) ).
fof(f45,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f197,plain,
( spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f9,f98,f93]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f196,plain,
( spl4_3
| spl4_15 ),
inference(avatar_split_clause,[],[f17,f140,f75]) ).
fof(f17,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f195,plain,
( ~ spl4_22
| ~ spl4_13
| ~ spl4_16
| ~ spl4_7
| spl4_23
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f64,f165,f193,f93,f145,f127,f189]) ).
fof(f127,plain,
( spl4_13
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f145,plain,
( spl4_16
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f165,plain,
( spl4_19
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f64,plain,
! [X9,X7] :
( ~ sP0
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| multiply(sk_c10,sk_c11) != sk_c9
| ~ sP2
| sk_c11 != multiply(inverse(X7),sk_c10)
| ~ sP1
| sk_c11 != multiply(X7,inverse(X7))
| ~ sP3
| inverse(X9) != multiply(X9,inverse(X7)) ),
inference(general_splitting,[],[f62,f63_D]) ).
fof(f62,plain,
! [X9,X7,X5] :
( sk_c10 != multiply(X5,sk_c11)
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != inverse(X5)
| multiply(sk_c10,sk_c11) != sk_c9
| sk_c11 != multiply(inverse(X7),sk_c10)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7))
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f60,f61_D]) ).
fof(f61,plain,
! [X4] :
( sk_c10 != inverse(X4)
| sP2
| sk_c11 != multiply(X4,sk_c10) ),
inference(cnf_transformation,[],[f61_D]) ).
fof(f61_D,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c11 != multiply(X4,sk_c10) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f60,plain,
! [X9,X7,X4,X5] :
( sk_c11 != multiply(X4,sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != inverse(X5)
| multiply(sk_c10,sk_c11) != sk_c9
| sk_c10 != inverse(X4)
| sk_c11 != multiply(inverse(X7),sk_c10)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7))
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f58,f59_D]) ).
fof(f59,plain,
! [X6] :
( sk_c10 != inverse(X6)
| sP1
| sk_c9 != multiply(X6,sk_c10) ),
inference(cnf_transformation,[],[f59_D]) ).
fof(f59_D,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f58,plain,
! [X6,X9,X7,X4,X5] :
( sk_c11 != multiply(X4,sk_c10)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(X5,sk_c11)
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != inverse(X5)
| multiply(sk_c10,sk_c11) != sk_c9
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X4)
| sk_c11 != multiply(inverse(X7),sk_c10)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7))
| ~ sP0 ),
inference(general_splitting,[],[f56,f57_D]) ).
fof(f57,plain,
! [X3] :
( sk_c11 != inverse(X3)
| sP0
| sk_c11 != multiply(X3,sk_c10) ),
inference(cnf_transformation,[],[f57_D]) ).
fof(f57_D,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != multiply(X3,sk_c10) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f56,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(X4,sk_c10)
| sk_c10 != inverse(X6)
| sk_c11 != multiply(X3,sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X5)
| multiply(sk_c10,sk_c11) != sk_c9
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X4)
| sk_c11 != multiply(inverse(X7),sk_c10)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7)) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(X4,sk_c10)
| sk_c10 != inverse(X6)
| sk_c11 != multiply(X3,sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| inverse(multiply(X9,X8)) != X8
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X5)
| multiply(sk_c10,sk_c11) != sk_c9
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X4)
| sk_c11 != multiply(X8,sk_c10)
| inverse(X7) != X8
| inverse(X9) != multiply(X9,X8)
| sk_c11 != multiply(X7,X8) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(X4,sk_c10)
| sk_c10 != inverse(X6)
| sk_c11 != multiply(X3,sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| multiply(X9,X8) != X10
| inverse(X10) != X8
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X5)
| multiply(sk_c10,sk_c11) != sk_c9
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X4)
| sk_c11 != multiply(X8,sk_c10)
| inverse(X7) != X8
| inverse(X9) != X10
| sk_c11 != multiply(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f187,plain,
( spl4_10
| spl4_6 ),
inference(avatar_split_clause,[],[f41,f89,f107]) ).
fof(f41,axiom,
( inverse(sk_c7) = sk_c6
| sk_c11 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f186,plain,
( spl4_9
| spl4_3 ),
inference(avatar_split_clause,[],[f22,f75,f103]) ).
fof(f22,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f185,plain,
( spl4_3
| spl4_6 ),
inference(avatar_split_clause,[],[f21,f89,f75]) ).
fof(f21,axiom,
( inverse(sk_c7) = sk_c6
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f184,plain,
( spl4_5
| spl4_1 ),
inference(avatar_split_clause,[],[f44,f66,f84]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f182,plain,
( spl4_21
| spl4_10 ),
inference(avatar_split_clause,[],[f35,f107,f179]) ).
fof(f35,axiom,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f172,plain,
( spl4_15
| spl4_7 ),
inference(avatar_split_clause,[],[f7,f93,f140]) ).
fof(f7,axiom,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f171,plain,
( spl4_19
| spl4_20 ),
inference(avatar_split_clause,[],[f57,f169,f165]) ).
fof(f161,plain,
( spl4_10
| spl4_15 ),
inference(avatar_split_clause,[],[f37,f140,f107]) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f160,plain,
( spl4_2
| spl4_6 ),
inference(avatar_split_clause,[],[f31,f89,f70]) ).
fof(f31,axiom,
( inverse(sk_c7) = sk_c6
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f159,plain,
( spl4_7
| spl4_9 ),
inference(avatar_split_clause,[],[f12,f103,f93]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c6)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f153,plain,
( spl4_7
| spl4_4 ),
inference(avatar_split_clause,[],[f6,f80,f93]) ).
fof(f6,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f152,plain,
( spl4_8
| spl4_10 ),
inference(avatar_split_clause,[],[f39,f107,f98]) ).
fof(f39,axiom,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f151,plain,
( spl4_16
| spl4_17 ),
inference(avatar_split_clause,[],[f61,f149,f145]) ).
fof(f143,plain,
( spl4_5
| spl4_15 ),
inference(avatar_split_clause,[],[f47,f140,f84]) ).
fof(f47,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f138,plain,
( spl4_9
| spl4_2 ),
inference(avatar_split_clause,[],[f32,f70,f103]) ).
fof(f32,axiom,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f137,plain,
( spl4_9
| spl4_5 ),
inference(avatar_split_clause,[],[f52,f84,f103]) ).
fof(f52,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f136,plain,
( spl4_1
| spl4_10 ),
inference(avatar_split_clause,[],[f34,f107,f66]) ).
fof(f34,axiom,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f135,plain,
( spl4_2
| spl4_11 ),
inference(avatar_split_clause,[],[f28,f115,f70]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f134,plain,
( spl4_3
| spl4_8 ),
inference(avatar_split_clause,[],[f19,f98,f75]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f133,plain,
( spl4_13
| spl4_14 ),
inference(avatar_split_clause,[],[f59,f131,f127]) ).
fof(f125,plain,
( spl4_3
| spl4_11 ),
inference(avatar_split_clause,[],[f18,f115,f75]) ).
fof(f18,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f119,plain,
( spl4_11
| spl4_10 ),
inference(avatar_split_clause,[],[f38,f107,f115]) ).
fof(f38,axiom,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f118,plain,
( spl4_7
| spl4_11 ),
inference(avatar_split_clause,[],[f8,f115,f93]) ).
fof(f8,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f113,plain,
( spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f51,f89,f84]) ).
fof(f51,axiom,
( inverse(sk_c7) = sk_c6
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f112,plain,
( spl4_8
| spl4_2 ),
inference(avatar_split_clause,[],[f29,f70,f98]) ).
fof(f29,axiom,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f111,plain,
( spl4_1
| spl4_7 ),
inference(avatar_split_clause,[],[f4,f93,f66]) ).
fof(f4,axiom,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f110,plain,
( spl4_9
| spl4_10 ),
inference(avatar_split_clause,[],[f42,f107,f103]) ).
fof(f42,axiom,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f101,plain,
( spl4_8
| spl4_5 ),
inference(avatar_split_clause,[],[f49,f84,f98]) ).
fof(f49,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f96,plain,
( spl4_6
| spl4_7 ),
inference(avatar_split_clause,[],[f11,f93,f89]) ).
fof(f11,axiom,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f78,plain,
( spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f14,f75,f66]) ).
fof(f14,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f73,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f24,f70,f66]) ).
fof(f24,axiom,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP338-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % 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 : n010.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 22:17:29 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.52 % (32618)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)
% 0.21/0.53 % (32602)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)
% 0.21/0.54 % (32606)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54 TRYING [1]
% 0.21/0.55 TRYING [2]
% 0.21/0.55 % (32598)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)
% 0.21/0.55 TRYING [3]
% 0.21/0.55 % (32610)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)
% 1.66/0.57 % (32614)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.66/0.58 % (32599)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)
% 1.66/0.58 % (32600)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.66/0.58 % (32625)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)
% 1.66/0.58 % (32612)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)
% 1.66/0.58 % (32601)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)
% 1.66/0.59 % (32608)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.66/0.59 % (32596)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)
% 1.66/0.59 % (32605)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)
% 1.66/0.59 % (32619)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)
% 1.66/0.59 % (32607)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)
% 1.92/0.59 % (32611)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)
% 1.92/0.59 TRYING [4]
% 1.92/0.60 % (32597)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)
% 1.92/0.60 % (32602)Instruction limit reached!
% 1.92/0.60 % (32602)------------------------------
% 1.92/0.60 % (32602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.60 % (32602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.60 % (32602)Termination reason: Unknown
% 1.92/0.60 % (32602)Termination phase: Finite model building constraint generation
% 1.92/0.60
% 1.92/0.60 % (32602)Memory used [KB]: 7036
% 1.92/0.60 % (32602)Time elapsed: 0.195 s
% 1.92/0.60 % (32602)Instructions burned: 52 (million)
% 1.92/0.60 % (32602)------------------------------
% 1.92/0.60 % (32602)------------------------------
% 1.92/0.60 % (32603)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.92/0.60 % (32604)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.92/0.60 % (32604)Instruction limit reached!
% 1.92/0.60 % (32604)------------------------------
% 1.92/0.60 % (32604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.60 % (32604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.60 % (32604)Termination reason: Unknown
% 1.92/0.60 % (32604)Termination phase: Saturation
% 1.92/0.60
% 1.92/0.60 % (32604)Memory used [KB]: 895
% 1.92/0.60 % (32604)Time elapsed: 0.003 s
% 1.92/0.60 % (32604)Instructions burned: 2 (million)
% 1.92/0.60 % (32604)------------------------------
% 1.92/0.60 % (32604)------------------------------
% 1.92/0.61 % (32603)Instruction limit reached!
% 1.92/0.61 % (32603)------------------------------
% 1.92/0.61 % (32603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.61 % (32603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.61 % (32603)Termination reason: Unknown
% 1.92/0.61 % (32603)Termination phase: Saturation
% 1.92/0.61
% 1.92/0.61 % (32603)Memory used [KB]: 5500
% 1.92/0.61 % (32603)Time elapsed: 0.136 s
% 1.92/0.61 % (32603)Instructions burned: 7 (million)
% 1.92/0.61 % (32603)------------------------------
% 1.92/0.61 % (32603)------------------------------
% 1.92/0.61 TRYING [1]
% 1.92/0.61 TRYING [2]
% 1.92/0.61 % (32615)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)
% 1.92/0.62 TRYING [3]
% 1.92/0.62 % (32617)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.92/0.62 % (32621)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.92/0.62 % (32598)Instruction limit reached!
% 1.92/0.62 % (32598)------------------------------
% 1.92/0.62 % (32598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.62 % (32598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.62 % (32598)Termination reason: Unknown
% 1.92/0.62 % (32598)Termination phase: Saturation
% 1.92/0.62
% 1.92/0.62 % (32624)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.92/0.62 % (32598)Memory used [KB]: 1279
% 1.92/0.62 % (32598)Time elapsed: 0.189 s
% 1.92/0.62 % (32598)Instructions burned: 37 (million)
% 1.92/0.62 % (32598)------------------------------
% 1.92/0.62 % (32598)------------------------------
% 1.92/0.62 % (32620)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.92/0.62 % (32622)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)
% 1.92/0.62 % (32623)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)
% 1.92/0.62 % (32606)First to succeed.
% 1.92/0.63 % (32616)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)
% 1.92/0.63 % (32609)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.92/0.63 % (32606)Refutation found. Thanks to Tanya!
% 1.92/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.92/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.92/0.63 % (32606)------------------------------
% 1.92/0.63 % (32606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.63 % (32606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.63 % (32606)Termination reason: Refutation
% 1.92/0.63
% 1.92/0.63 % (32606)Memory used [KB]: 6268
% 1.92/0.63 % (32606)Time elapsed: 0.206 s
% 1.92/0.63 % (32606)Instructions burned: 41 (million)
% 1.92/0.63 % (32606)------------------------------
% 1.92/0.63 % (32606)------------------------------
% 1.92/0.63 % (32595)Success in time 0.28 s
%------------------------------------------------------------------------------