TSTP Solution File: GRP228-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP228-1 : 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 : n025.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 16:20:57 EDT 2022
% Result : Unsatisfiable 1.56s 0.57s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 79
% Syntax : Number of formulae : 375 ( 36 unt; 0 def)
% Number of atoms : 1489 ( 530 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 2163 (1049 ~;1094 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 25 con; 0-2 aty)
% Number of variables : 107 ( 107 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f998,plain,
$false,
inference(avatar_sat_refutation,[],[f121,f126,f135,f140,f149,f159,f164,f165,f170,f176,f177,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f217,f218,f219,f221,f222,f223,f357,f419,f445,f560,f620,f626,f657,f738,f752,f784,f812,f962,f977,f995]) ).
fof(f995,plain,
( ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_9
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_15
| ~ spl14_28
| ~ spl14_37 ),
inference(avatar_contradiction_clause,[],[f994]) ).
fof(f994,plain,
( $false
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_9
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_15
| ~ spl14_28
| ~ spl14_37 ),
inference(subsumption_resolution,[],[f993,f771]) ).
fof(f771,plain,
( identity = inverse(identity)
| ~ spl14_1
| ~ spl14_9
| ~ spl14_11
| ~ spl14_13
| ~ spl14_28
| ~ spl14_37 ),
inference(backward_demodulation,[],[f744,f568]) ).
fof(f568,plain,
( identity = sk_c8
| ~ spl14_37 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f567,plain,
( spl14_37
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_37])]) ).
fof(f744,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl14_1
| ~ spl14_9
| ~ spl14_11
| ~ spl14_13
| ~ spl14_28 ),
inference(backward_demodulation,[],[f708,f734]) ).
fof(f734,plain,
( sk_c8 = sk_c6
| ~ spl14_1
| ~ spl14_9
| ~ spl14_11
| ~ spl14_13
| ~ spl14_28 ),
inference(backward_demodulation,[],[f707,f728]) ).
fof(f728,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl14_1
| ~ spl14_28 ),
inference(forward_demodulation,[],[f723,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f723,plain,
( ! [X0] : multiply(sk_c8,multiply(identity,X0)) = X0
| ~ spl14_1
| ~ spl14_28 ),
inference(backward_demodulation,[],[f573,f497]) ).
fof(f497,plain,
( identity = sk_c5
| ~ spl14_28 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f496,plain,
( spl14_28
<=> identity = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_28])]) ).
fof(f573,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl14_1 ),
inference(backward_demodulation,[],[f257,f116]) ).
fof(f116,plain,
( sk_c8 = sF11
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl14_1
<=> sk_c8 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f257,plain,
! [X0] : multiply(sF11,multiply(sk_c5,X0)) = X0,
inference(forward_demodulation,[],[f256,f1]) ).
fof(f256,plain,
! [X0] : multiply(identity,X0) = multiply(sF11,multiply(sk_c5,X0)),
inference(superposition,[],[f3,f232]) ).
fof(f232,plain,
identity = multiply(sF11,sk_c5),
inference(superposition,[],[f2,f76]) ).
fof(f76,plain,
inverse(sk_c5) = sF11,
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
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(f707,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl14_1
| ~ spl14_9
| ~ spl14_11
| ~ spl14_13 ),
inference(backward_demodulation,[],[f639,f705]) ).
fof(f705,plain,
( sk_c8 = sk_c7
| ~ spl14_1
| ~ spl14_9
| ~ spl14_13 ),
inference(forward_demodulation,[],[f704,f580]) ).
fof(f580,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl14_1 ),
inference(backward_demodulation,[],[f575,f578]) ).
fof(f578,plain,
( identity = sF2
| ~ spl14_1 ),
inference(forward_demodulation,[],[f576,f2]) ).
fof(f576,plain,
( multiply(inverse(sk_c8),sk_c8) = sF2
| ~ spl14_1 ),
inference(backward_demodulation,[],[f463,f116]) ).
fof(f463,plain,
sF2 = multiply(inverse(sF11),sk_c8),
inference(superposition,[],[f250,f302]) ).
fof(f302,plain,
sk_c8 = multiply(sF11,sF2),
inference(forward_demodulation,[],[f278,f76]) ).
fof(f278,plain,
sk_c8 = multiply(inverse(sk_c5),sF2),
inference(superposition,[],[f250,f56]) ).
fof(f56,plain,
multiply(sk_c5,sk_c8) = sF2,
introduced(function_definition,[]) ).
fof(f250,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f238,f1]) ).
fof(f238,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f575,plain,
( sk_c8 = multiply(sk_c8,sF2)
| ~ spl14_1 ),
inference(backward_demodulation,[],[f302,f116]) ).
fof(f704,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl14_9
| ~ spl14_13 ),
inference(forward_demodulation,[],[f691,f672]) ).
fof(f672,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl14_13 ),
inference(backward_demodulation,[],[f74,f174]) ).
fof(f174,plain,
( sk_c8 = sF10
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl14_13
<=> sk_c8 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f74,plain,
inverse(sk_c6) = sF10,
introduced(function_definition,[]) ).
fof(f691,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl14_9 ),
inference(backward_demodulation,[],[f283,f153]) ).
fof(f153,plain,
( sk_c6 = sF4
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl14_9
<=> sk_c6 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f283,plain,
sk_c7 = multiply(inverse(sF4),identity),
inference(superposition,[],[f250,f233]) ).
fof(f233,plain,
identity = multiply(sF4,sk_c7),
inference(superposition,[],[f2,f60]) ).
fof(f60,plain,
inverse(sk_c7) = sF4,
introduced(function_definition,[]) ).
fof(f639,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl14_11 ),
inference(backward_demodulation,[],[f67,f163]) ).
fof(f163,plain,
( sk_c6 = sF7
| ~ spl14_11 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl14_11
<=> sk_c6 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f67,plain,
multiply(sk_c7,sk_c8) = sF7,
introduced(function_definition,[]) ).
fof(f708,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl14_1
| ~ spl14_9
| ~ spl14_13 ),
inference(backward_demodulation,[],[f688,f705]) ).
fof(f688,plain,
( inverse(sk_c7) = sk_c6
| ~ spl14_9 ),
inference(backward_demodulation,[],[f60,f153]) ).
fof(f993,plain,
( identity != inverse(identity)
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_9
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_15
| ~ spl14_28
| ~ spl14_37 ),
inference(forward_demodulation,[],[f992,f771]) ).
fof(f992,plain,
( identity != inverse(inverse(identity))
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f988,f1]) ).
fof(f988,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_15 ),
inference(superposition,[],[f980,f2]) ).
fof(f980,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_15 ),
inference(forward_demodulation,[],[f979,f614]) ).
fof(f614,plain,
( identity = sk_c9
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12 ),
inference(forward_demodulation,[],[f606,f1]) ).
fof(f606,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12 ),
inference(backward_demodulation,[],[f587,f592]) ).
fof(f592,plain,
( identity = sk_c10
| ~ spl14_1
| ~ spl14_8 ),
inference(forward_demodulation,[],[f148,f578]) ).
fof(f148,plain,
( sk_c10 = sF2
| ~ spl14_8 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl14_8
<=> sk_c10 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f587,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl14_6
| ~ spl14_12 ),
inference(backward_demodulation,[],[f584,f139]) ).
fof(f139,plain,
( sk_c10 = sF13
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl14_6
<=> sk_c10 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f584,plain,
( sk_c9 = multiply(sF13,sk_c10)
| ~ spl14_12 ),
inference(backward_demodulation,[],[f370,f169]) ).
fof(f169,plain,
( sk_c10 = sF8
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl14_12
<=> sk_c10 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f370,plain,
sk_c9 = multiply(sF13,sF8),
inference(forward_demodulation,[],[f277,f84]) ).
fof(f84,plain,
inverse(sk_c4) = sF13,
introduced(function_definition,[]) ).
fof(f277,plain,
sk_c9 = multiply(inverse(sk_c4),sF8),
inference(superposition,[],[f250,f70]) ).
fof(f70,plain,
multiply(sk_c4,sk_c9) = sF8,
introduced(function_definition,[]) ).
fof(f979,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c9 != multiply(identity,multiply(X5,identity)) )
| ~ spl14_1
| ~ spl14_8
| ~ spl14_15 ),
inference(forward_demodulation,[],[f978,f592]) ).
fof(f978,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10)) )
| ~ spl14_1
| ~ spl14_8
| ~ spl14_15 ),
inference(forward_demodulation,[],[f210,f592]) ).
fof(f210,plain,
( ! [X5] :
( sk_c10 != inverse(X5)
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10)) )
| ~ spl14_15 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f209,plain,
( spl14_15
<=> ! [X5] :
( sk_c10 != inverse(X5)
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f977,plain,
( ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_9
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_16
| ~ spl14_28
| ~ spl14_37 ),
inference(avatar_contradiction_clause,[],[f976]) ).
fof(f976,plain,
( $false
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_9
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_16
| ~ spl14_28
| ~ spl14_37 ),
inference(subsumption_resolution,[],[f975,f771]) ).
fof(f975,plain,
( identity != inverse(identity)
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_9
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_16
| ~ spl14_28
| ~ spl14_37 ),
inference(forward_demodulation,[],[f970,f771]) ).
fof(f970,plain,
( identity != inverse(inverse(identity))
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_16 ),
inference(trivial_inequality_removal,[],[f968]) ).
fof(f968,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_16 ),
inference(superposition,[],[f965,f2]) ).
fof(f965,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_16 ),
inference(forward_demodulation,[],[f964,f592]) ).
fof(f964,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c10 != multiply(X3,identity) )
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_16 ),
inference(forward_demodulation,[],[f963,f614]) ).
fof(f963,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c10 != multiply(X3,sk_c9) )
| ~ spl14_1
| ~ spl14_8
| ~ spl14_16 ),
inference(forward_demodulation,[],[f213,f592]) ).
fof(f213,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9) )
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f212,plain,
( spl14_16
<=> ! [X3] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
fof(f962,plain,
( ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_9
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_17
| ~ spl14_28
| ~ spl14_37 ),
inference(avatar_contradiction_clause,[],[f961]) ).
fof(f961,plain,
( $false
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_9
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_17
| ~ spl14_28
| ~ spl14_37 ),
inference(subsumption_resolution,[],[f960,f771]) ).
fof(f960,plain,
( identity != inverse(identity)
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_9
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_17
| ~ spl14_28
| ~ spl14_37 ),
inference(forward_demodulation,[],[f947,f771]) ).
fof(f947,plain,
( identity != inverse(inverse(identity))
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_9
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_17
| ~ spl14_28
| ~ spl14_37 ),
inference(trivial_inequality_removal,[],[f945]) ).
fof(f945,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_9
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_17
| ~ spl14_28
| ~ spl14_37 ),
inference(superposition,[],[f827,f2]) ).
fof(f827,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_9
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_17
| ~ spl14_28
| ~ spl14_37 ),
inference(forward_demodulation,[],[f826,f771]) ).
fof(f826,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(X0,inverse(identity)) )
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_9
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_17
| ~ spl14_28
| ~ spl14_37 ),
inference(subsumption_resolution,[],[f825,f771]) ).
fof(f825,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| identity != inverse(X0)
| identity != inverse(identity) )
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_9
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_17
| ~ spl14_28
| ~ spl14_37 ),
inference(forward_demodulation,[],[f824,f771]) ).
fof(f824,plain,
( ! [X0] :
( identity != inverse(X0)
| inverse(inverse(identity)) != inverse(identity)
| identity != multiply(X0,inverse(identity)) )
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_9
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_17
| ~ spl14_28
| ~ spl14_37 ),
inference(forward_demodulation,[],[f823,f771]) ).
fof(f823,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(X0,inverse(identity))
| inverse(inverse(identity)) != inverse(identity) )
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_9
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_17
| ~ spl14_28
| ~ spl14_37 ),
inference(forward_demodulation,[],[f822,f771]) ).
fof(f822,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(identity))
| inverse(inverse(identity)) != inverse(identity) )
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_9
| ~ spl14_11
| ~ spl14_12
| ~ spl14_13
| ~ spl14_17
| ~ spl14_28
| ~ spl14_37 ),
inference(forward_demodulation,[],[f793,f771]) ).
fof(f793,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| inverse(X0) != inverse(inverse(identity))
| inverse(inverse(identity)) != inverse(identity) )
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_17 ),
inference(subsumption_resolution,[],[f789,f271]) ).
fof(f271,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f250,f2]) ).
fof(f789,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| inverse(inverse(identity)) != inverse(identity)
| identity != multiply(inverse(inverse(identity)),identity)
| inverse(X0) != inverse(inverse(identity)) )
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_17 ),
inference(superposition,[],[f787,f1]) ).
fof(f787,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| identity != multiply(inverse(inverse(X9)),identity)
| identity != multiply(X7,inverse(inverse(X9))) )
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_17 ),
inference(forward_demodulation,[],[f786,f592]) ).
fof(f786,plain,
( ! [X9,X7] :
( identity != multiply(X7,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c10 != multiply(inverse(inverse(X9)),identity) )
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_17 ),
inference(forward_demodulation,[],[f785,f614]) ).
fof(f785,plain,
( ! [X9,X7] :
( sk_c10 != multiply(inverse(inverse(X9)),sk_c9)
| identity != multiply(X7,inverse(inverse(X9)))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl14_1
| ~ spl14_8
| ~ spl14_17 ),
inference(forward_demodulation,[],[f216,f592]) ).
fof(f216,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(inverse(X9))
| sk_c10 != multiply(X7,inverse(inverse(X9)))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c10 != multiply(inverse(inverse(X9)),sk_c9) )
| ~ spl14_17 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f215,plain,
( spl14_17
<=> ! [X9,X7] :
( sk_c10 != multiply(inverse(inverse(X9)),sk_c9)
| sk_c10 != multiply(X7,inverse(inverse(X9)))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
fof(f812,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_17 ),
inference(avatar_contradiction_clause,[],[f811]) ).
fof(f811,plain,
( $false
| ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_17 ),
inference(subsumption_resolution,[],[f810,f650]) ).
fof(f650,plain,
( identity = inverse(identity)
| ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_8 ),
inference(backward_demodulation,[],[f645,f649]) ).
fof(f649,plain,
( identity = sk_c1
| ~ spl14_1
| ~ spl14_2
| ~ spl14_8 ),
inference(backward_demodulation,[],[f312,f648]) ).
fof(f648,plain,
( identity = multiply(sF0,identity)
| ~ spl14_1
| ~ spl14_8 ),
inference(forward_demodulation,[],[f230,f592]) ).
fof(f230,plain,
identity = multiply(sF0,sk_c10),
inference(superposition,[],[f2,f53]) ).
fof(f53,plain,
inverse(sk_c10) = sF0,
introduced(function_definition,[]) ).
fof(f312,plain,
( sk_c1 = multiply(sF0,identity)
| ~ spl14_2 ),
inference(forward_demodulation,[],[f275,f53]) ).
fof(f275,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl14_2 ),
inference(superposition,[],[f250,f229]) ).
fof(f229,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl14_2 ),
inference(superposition,[],[f2,f228]) ).
fof(f228,plain,
( inverse(sk_c1) = sk_c10
| ~ spl14_2 ),
inference(backward_demodulation,[],[f71,f120]) ).
fof(f120,plain,
( sk_c10 = sF9
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl14_2
<=> sk_c10 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f71,plain,
inverse(sk_c1) = sF9,
introduced(function_definition,[]) ).
fof(f645,plain,
( identity = inverse(sk_c1)
| ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_8 ),
inference(forward_demodulation,[],[f320,f592]) ).
fof(f320,plain,
( inverse(sk_c1) = sk_c10
| ~ spl14_2
| ~ spl14_5 ),
inference(backward_demodulation,[],[f224,f315]) ).
fof(f315,plain,
( sk_c1 = sk_c2
| ~ spl14_2
| ~ spl14_5 ),
inference(forward_demodulation,[],[f314,f312]) ).
fof(f314,plain,
( sk_c2 = multiply(sF0,identity)
| ~ spl14_5 ),
inference(forward_demodulation,[],[f276,f53]) ).
fof(f276,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl14_5 ),
inference(superposition,[],[f250,f235]) ).
fof(f235,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl14_5 ),
inference(superposition,[],[f2,f224]) ).
fof(f224,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl14_5 ),
inference(backward_demodulation,[],[f64,f134]) ).
fof(f134,plain,
( sk_c10 = sF6
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl14_5
<=> sk_c10 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f64,plain,
inverse(sk_c2) = sF6,
introduced(function_definition,[]) ).
fof(f810,plain,
( identity != inverse(identity)
| ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_17 ),
inference(forward_demodulation,[],[f806,f650]) ).
fof(f806,plain,
( identity != inverse(inverse(identity))
| ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_17 ),
inference(trivial_inequality_removal,[],[f805]) ).
fof(f805,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_17 ),
inference(superposition,[],[f799,f2]) ).
fof(f799,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_17 ),
inference(forward_demodulation,[],[f798,f650]) ).
fof(f798,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(X0,inverse(identity)) )
| ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_17 ),
inference(forward_demodulation,[],[f797,f650]) ).
fof(f797,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| identity != inverse(X0) )
| ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_17 ),
inference(forward_demodulation,[],[f796,f650]) ).
fof(f796,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_17 ),
inference(forward_demodulation,[],[f795,f650]) ).
fof(f795,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_17 ),
inference(subsumption_resolution,[],[f794,f650]) ).
fof(f794,plain,
( ! [X0] :
( identity != inverse(identity)
| identity != multiply(X0,inverse(inverse(identity)))
| inverse(X0) != inverse(inverse(identity)) )
| ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_17 ),
inference(forward_demodulation,[],[f793,f650]) ).
fof(f784,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_15 ),
inference(avatar_contradiction_clause,[],[f783]) ).
fof(f783,plain,
( $false
| ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f782,f650]) ).
fof(f782,plain,
( identity != inverse(identity)
| ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_15 ),
inference(forward_demodulation,[],[f781,f650]) ).
fof(f781,plain,
( identity != inverse(inverse(identity))
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f779,f1]) ).
fof(f779,plain,
( identity != multiply(identity,identity)
| identity != inverse(inverse(identity))
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_15 ),
inference(superposition,[],[f616,f2]) ).
fof(f616,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_15 ),
inference(backward_demodulation,[],[f612,f614]) ).
fof(f612,plain,
( ! [X5] :
( sk_c9 != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl14_1
| ~ spl14_8
| ~ spl14_15 ),
inference(forward_demodulation,[],[f599,f592]) ).
fof(f599,plain,
( ! [X5] :
( sk_c9 != multiply(sk_c10,multiply(X5,sk_c10))
| identity != inverse(X5) )
| ~ spl14_1
| ~ spl14_8
| ~ spl14_15 ),
inference(backward_demodulation,[],[f210,f592]) ).
fof(f752,plain,
( spl14_37
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_24 ),
inference(avatar_split_clause,[],[f751,f456,f167,f146,f137,f114,f567]) ).
fof(f456,plain,
( spl14_24
<=> identity = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).
fof(f751,plain,
( identity = sk_c8
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_24 ),
inference(backward_demodulation,[],[f647,f457]) ).
fof(f457,plain,
( identity = sF3
| ~ spl14_24 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f647,plain,
( sk_c8 = sF3
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12 ),
inference(forward_demodulation,[],[f646,f580]) ).
fof(f646,plain,
( multiply(sk_c8,identity) = sF3
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12 ),
inference(forward_demodulation,[],[f58,f614]) ).
fof(f58,plain,
multiply(sk_c8,sk_c9) = sF3,
introduced(function_definition,[]) ).
fof(f738,plain,
( spl14_37
| ~ spl14_1
| ~ spl14_28 ),
inference(avatar_split_clause,[],[f733,f496,f114,f567]) ).
fof(f733,plain,
( identity = sk_c8
| ~ spl14_1
| ~ spl14_28 ),
inference(backward_demodulation,[],[f580,f728]) ).
fof(f657,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_6
| spl14_7
| ~ spl14_8
| ~ spl14_12 ),
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f656,plain,
( $false
| ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_6
| spl14_7
| ~ spl14_8
| ~ spl14_12 ),
inference(subsumption_resolution,[],[f655,f640]) ).
fof(f640,plain,
( identity != sF5
| ~ spl14_1
| ~ spl14_3
| ~ spl14_6
| spl14_7
| ~ spl14_8
| ~ spl14_12 ),
inference(forward_demodulation,[],[f143,f633]) ).
fof(f633,plain,
( identity = sk_c3
| ~ spl14_1
| ~ spl14_3
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12 ),
inference(forward_demodulation,[],[f632,f2]) ).
fof(f632,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12 ),
inference(forward_demodulation,[],[f631,f592]) ).
fof(f631,plain,
( sk_c3 = multiply(inverse(sk_c10),identity)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12 ),
inference(forward_demodulation,[],[f274,f614]) ).
fof(f274,plain,
( sk_c3 = multiply(inverse(sk_c10),sk_c9)
| ~ spl14_3 ),
inference(superposition,[],[f250,f227]) ).
fof(f227,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| ~ spl14_3 ),
inference(backward_demodulation,[],[f77,f125]) ).
fof(f125,plain,
( sk_c9 = sF12
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl14_3
<=> sk_c9 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f77,plain,
multiply(sk_c10,sk_c3) = sF12,
introduced(function_definition,[]) ).
fof(f143,plain,
( sk_c3 != sF5
| spl14_7 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl14_7
<=> sk_c3 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f655,plain,
( identity = sF5
| ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_8 ),
inference(forward_demodulation,[],[f654,f1]) ).
fof(f654,plain,
( sF5 = multiply(identity,identity)
| ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_8 ),
inference(backward_demodulation,[],[f593,f653]) ).
fof(f653,plain,
( identity = sk_c2
| ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_8 ),
inference(forward_demodulation,[],[f315,f649]) ).
fof(f593,plain,
( sF5 = multiply(sk_c2,identity)
| ~ spl14_1
| ~ spl14_8 ),
inference(backward_demodulation,[],[f61,f592]) ).
fof(f61,plain,
multiply(sk_c2,sk_c10) = sF5,
introduced(function_definition,[]) ).
fof(f626,plain,
( ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_14
| spl14_28 ),
inference(avatar_contradiction_clause,[],[f625]) ).
fof(f625,plain,
( $false
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_14
| spl14_28 ),
inference(subsumption_resolution,[],[f624,f498]) ).
fof(f498,plain,
( identity != sk_c5
| spl14_28 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f624,plain,
( identity = sk_c5
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_14 ),
inference(backward_demodulation,[],[f574,f623]) ).
fof(f623,plain,
( identity = multiply(inverse(sk_c8),identity)
| ~ spl14_1
| ~ spl14_6
| ~ spl14_8
| ~ spl14_12
| ~ spl14_14 ),
inference(forward_demodulation,[],[f604,f614]) ).
fof(f604,plain,
( sk_c9 = multiply(inverse(sk_c8),identity)
| ~ spl14_1
| ~ spl14_8
| ~ spl14_14 ),
inference(backward_demodulation,[],[f585,f592]) ).
fof(f585,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c10)
| ~ spl14_14 ),
inference(backward_demodulation,[],[f279,f181]) ).
fof(f181,plain,
( sk_c10 = sF3
| ~ spl14_14 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl14_14
<=> sk_c10 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
fof(f279,plain,
sk_c9 = multiply(inverse(sk_c8),sF3),
inference(superposition,[],[f250,f58]) ).
fof(f574,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl14_1 ),
inference(backward_demodulation,[],[f285,f116]) ).
fof(f285,plain,
sk_c5 = multiply(inverse(sF11),identity),
inference(superposition,[],[f250,f232]) ).
fof(f620,plain,
( spl14_24
| ~ spl14_1
| ~ spl14_8
| ~ spl14_14 ),
inference(avatar_split_clause,[],[f598,f179,f146,f114,f456]) ).
fof(f598,plain,
( identity = sF3
| ~ spl14_1
| ~ spl14_8
| ~ spl14_14 ),
inference(backward_demodulation,[],[f181,f592]) ).
fof(f560,plain,
( ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_17 ),
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f559,plain,
( $false
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_17 ),
inference(subsumption_resolution,[],[f554,f354]) ).
fof(f354,plain,
( identity = inverse(identity)
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10 ),
inference(forward_demodulation,[],[f326,f345]) ).
fof(f345,plain,
( identity = sk_c1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10 ),
inference(backward_demodulation,[],[f312,f344]) ).
fof(f344,plain,
( ! [X0] : multiply(sF0,X0) = X0
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10 ),
inference(forward_demodulation,[],[f330,f1]) ).
fof(f330,plain,
( ! [X0] : multiply(sF0,multiply(identity,X0)) = X0
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10 ),
inference(backward_demodulation,[],[f253,f321]) ).
fof(f321,plain,
( identity = sk_c10
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10 ),
inference(backward_demodulation,[],[f294,f317]) ).
fof(f317,plain,
( identity = multiply(sk_c1,sk_c10)
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7 ),
inference(backward_demodulation,[],[f309,f315]) ).
fof(f309,plain,
( identity = multiply(sk_c2,sk_c10)
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7 ),
inference(backward_demodulation,[],[f226,f305]) ).
fof(f305,plain,
( identity = sk_c3
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7 ),
inference(forward_demodulation,[],[f304,f2]) ).
fof(f304,plain,
( sk_c3 = multiply(inverse(sk_c10),sk_c10)
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7 ),
inference(forward_demodulation,[],[f274,f289]) ).
fof(f289,plain,
( sk_c10 = sk_c9
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7 ),
inference(backward_demodulation,[],[f227,f288]) ).
fof(f288,plain,
( sk_c10 = multiply(sk_c10,sk_c3)
| ~ spl14_5
| ~ spl14_7 ),
inference(forward_demodulation,[],[f281,f224]) ).
fof(f281,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c3)
| ~ spl14_7 ),
inference(superposition,[],[f250,f226]) ).
fof(f226,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| ~ spl14_7 ),
inference(backward_demodulation,[],[f61,f144]) ).
fof(f144,plain,
( sk_c3 = sF5
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f294,plain,
( sk_c10 = multiply(sk_c1,sk_c10)
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10 ),
inference(backward_demodulation,[],[f225,f289]) ).
fof(f225,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| ~ spl14_10 ),
inference(backward_demodulation,[],[f54,f158]) ).
fof(f158,plain,
( sk_c10 = sF1
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl14_10
<=> sk_c10 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f54,plain,
multiply(sk_c1,sk_c9) = sF1,
introduced(function_definition,[]) ).
fof(f253,plain,
! [X0] : multiply(sF0,multiply(sk_c10,X0)) = X0,
inference(forward_demodulation,[],[f252,f1]) ).
fof(f252,plain,
! [X0] : multiply(identity,X0) = multiply(sF0,multiply(sk_c10,X0)),
inference(superposition,[],[f3,f230]) ).
fof(f326,plain,
( identity = inverse(sk_c1)
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10 ),
inference(backward_demodulation,[],[f228,f321]) ).
fof(f554,plain,
( identity != inverse(identity)
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_17 ),
inference(trivial_inequality_removal,[],[f547]) ).
fof(f547,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_17 ),
inference(superposition,[],[f489,f1]) ).
fof(f489,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_17 ),
inference(forward_demodulation,[],[f488,f354]) ).
fof(f488,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| identity != inverse(X0) )
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_17 ),
inference(forward_demodulation,[],[f487,f354]) ).
fof(f487,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(X0,inverse(identity)) )
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_17 ),
inference(forward_demodulation,[],[f486,f354]) ).
fof(f486,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(identity)) )
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_17 ),
inference(forward_demodulation,[],[f485,f354]) ).
fof(f485,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| inverse(X0) != inverse(inverse(identity)) )
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_17 ),
inference(subsumption_resolution,[],[f484,f354]) ).
fof(f484,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(inverse(identity)))
| identity != inverse(identity) )
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_17 ),
inference(forward_demodulation,[],[f483,f354]) ).
fof(f483,plain,
( ! [X0] :
( inverse(inverse(identity)) != inverse(identity)
| identity != multiply(X0,inverse(inverse(identity)))
| inverse(X0) != inverse(inverse(identity)) )
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_17 ),
inference(subsumption_resolution,[],[f470,f271]) ).
fof(f470,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| inverse(inverse(identity)) != inverse(identity)
| inverse(X0) != inverse(inverse(identity))
| identity != multiply(inverse(inverse(identity)),identity) )
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_17 ),
inference(superposition,[],[f462,f1]) ).
fof(f462,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| identity != multiply(X7,inverse(inverse(X9)))
| identity != multiply(inverse(inverse(X9)),identity)
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_17 ),
inference(forward_demodulation,[],[f461,f321]) ).
fof(f461,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(inverse(X9))
| sk_c10 != multiply(inverse(inverse(X9)),identity)
| identity != multiply(X7,inverse(inverse(X9)))
| inverse(X9) != multiply(X9,inverse(inverse(X9))) )
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_17 ),
inference(forward_demodulation,[],[f460,f332]) ).
fof(f332,plain,
( identity = sk_c9
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10 ),
inference(backward_demodulation,[],[f289,f321]) ).
fof(f460,plain,
( ! [X9,X7] :
( identity != multiply(X7,inverse(inverse(X9)))
| sk_c10 != multiply(inverse(inverse(X9)),sk_c9)
| inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(inverse(X9))) )
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_17 ),
inference(forward_demodulation,[],[f216,f321]) ).
fof(f445,plain,
( ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_16 ),
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f444,plain,
( $false
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_16 ),
inference(subsumption_resolution,[],[f439,f354]) ).
fof(f439,plain,
( identity != inverse(identity)
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_16 ),
inference(trivial_inequality_removal,[],[f434]) ).
fof(f434,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_16 ),
inference(superposition,[],[f422,f1]) ).
fof(f422,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_16 ),
inference(forward_demodulation,[],[f421,f321]) ).
fof(f421,plain,
( ! [X3] :
( sk_c10 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_16 ),
inference(forward_demodulation,[],[f420,f332]) ).
fof(f420,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c9)
| identity != inverse(X3) )
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_16 ),
inference(forward_demodulation,[],[f213,f321]) ).
fof(f419,plain,
( ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_15 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f418,plain,
( $false
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f417,f354]) ).
fof(f417,plain,
( identity != inverse(identity)
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_15 ),
inference(forward_demodulation,[],[f416,f354]) ).
fof(f416,plain,
( identity != inverse(inverse(identity))
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f390,f1]) ).
fof(f390,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_15 ),
inference(superposition,[],[f374,f2]) ).
fof(f374,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_15 ),
inference(forward_demodulation,[],[f373,f332]) ).
fof(f373,plain,
( ! [X5] :
( sk_c9 != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_15 ),
inference(forward_demodulation,[],[f372,f321]) ).
fof(f372,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10)) )
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10
| ~ spl14_15 ),
inference(forward_demodulation,[],[f210,f321]) ).
fof(f357,plain,
( ~ spl14_2
| ~ spl14_3
| spl14_4
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10 ),
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f356,plain,
( $false
| ~ spl14_2
| ~ spl14_3
| spl14_4
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10 ),
inference(subsumption_resolution,[],[f355,f336]) ).
fof(f336,plain,
( identity != sF0
| ~ spl14_2
| ~ spl14_3
| spl14_4
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10 ),
inference(backward_demodulation,[],[f293,f321]) ).
fof(f293,plain,
( sk_c10 != sF0
| ~ spl14_3
| spl14_4
| ~ spl14_5
| ~ spl14_7 ),
inference(backward_demodulation,[],[f129,f289]) ).
fof(f129,plain,
( sk_c9 != sF0
| spl14_4 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl14_4
<=> sk_c9 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f355,plain,
( identity = sF0
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10 ),
inference(backward_demodulation,[],[f322,f354]) ).
fof(f322,plain,
( sF0 = inverse(identity)
| ~ spl14_2
| ~ spl14_3
| ~ spl14_5
| ~ spl14_7
| ~ spl14_10 ),
inference(backward_demodulation,[],[f53,f321]) ).
fof(f223,plain,
( spl14_10
| spl14_1 ),
inference(avatar_split_clause,[],[f82,f114,f156]) ).
fof(f82,plain,
( sk_c8 = sF11
| sk_c10 = sF1 ),
inference(definition_folding,[],[f17,f54,f76]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f222,plain,
( spl14_2
| spl14_12 ),
inference(avatar_split_clause,[],[f72,f167,f118]) ).
fof(f72,plain,
( sk_c10 = sF8
| sk_c10 = sF9 ),
inference(definition_folding,[],[f6,f71,f70]) ).
fof(f6,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f221,plain,
( spl14_14
| spl14_2 ),
inference(avatar_split_clause,[],[f91,f118,f179]) ).
fof(f91,plain,
( sk_c10 = sF9
| sk_c10 = sF3 ),
inference(definition_folding,[],[f9,f58,f71]) ).
fof(f9,axiom,
( inverse(sk_c1) = sk_c10
| sk_c10 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f219,plain,
( spl14_14
| spl14_5 ),
inference(avatar_split_clause,[],[f92,f132,f179]) ).
fof(f92,plain,
( sk_c10 = sF6
| sk_c10 = sF3 ),
inference(definition_folding,[],[f45,f64,f58]) ).
fof(f45,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f218,plain,
( spl14_3
| spl14_11 ),
inference(avatar_split_clause,[],[f81,f161,f123]) ).
fof(f81,plain,
( sk_c6 = sF7
| sk_c9 = sF12 ),
inference(definition_folding,[],[f30,f67,f77]) ).
fof(f30,axiom,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f217,plain,
( spl14_15
| ~ spl14_4
| spl14_16
| spl14_17
| spl14_16 ),
inference(avatar_split_clause,[],[f63,f212,f215,f212,f128,f209]) ).
fof(f63,plain,
! [X3,X6,X9,X7,X5] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(inverse(inverse(X9)),sk_c9)
| inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c10 != multiply(X7,inverse(inverse(X9)))
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != sF0
| sk_c10 != inverse(X3)
| sk_c10 != multiply(X6,sk_c9)
| sk_c10 != inverse(X5)
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10)) ),
inference(definition_folding,[],[f52,f53]) ).
fof(f52,plain,
! [X3,X6,X9,X7,X5] :
( sk_c10 != inverse(X3)
| sk_c10 != inverse(X5)
| inverse(sk_c10) != sk_c9
| sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X6)
| inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10))
| sk_c10 != multiply(X7,inverse(inverse(X9)))
| sk_c10 != multiply(inverse(inverse(X9)),sk_c9)
| sk_c10 != multiply(X6,sk_c9) ),
inference(equality_resolution,[],[f51]) ).
fof(f51,plain,
! [X3,X10,X6,X9,X7,X5] :
( sk_c10 != inverse(X3)
| sk_c10 != inverse(X5)
| inverse(sk_c10) != sk_c9
| inverse(X9) != X10
| sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X6)
| inverse(X7) != inverse(X10)
| multiply(X9,inverse(X10)) != X10
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10))
| sk_c10 != multiply(X7,inverse(X10))
| sk_c10 != multiply(inverse(X10),sk_c9)
| sk_c10 != multiply(X6,sk_c9) ),
inference(equality_resolution,[],[f50]) ).
fof(f50,plain,
! [X3,X10,X8,X6,X9,X7,X5] :
( sk_c10 != inverse(X3)
| sk_c10 != inverse(X5)
| inverse(sk_c10) != sk_c9
| inverse(X10) != X8
| inverse(X9) != X10
| sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X6)
| inverse(X7) != X8
| multiply(X9,X8) != X10
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10))
| sk_c10 != multiply(X7,X8)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != multiply(X6,sk_c9) ),
inference(equality_resolution,[],[f49]) ).
fof(f49,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X3)
| sk_c10 != inverse(X5)
| multiply(X5,sk_c10) != X4
| inverse(sk_c10) != sk_c9
| inverse(X10) != X8
| inverse(X9) != X10
| sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X6)
| inverse(X7) != X8
| multiply(X9,X8) != X10
| sk_c9 != multiply(sk_c10,X4)
| sk_c10 != multiply(X7,X8)
| sk_c10 != multiply(X8,sk_c9)
| sk_c10 != multiply(X6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f207,plain,
( spl14_3
| spl14_14 ),
inference(avatar_split_clause,[],[f86,f179,f123]) ).
fof(f86,plain,
( sk_c10 = sF3
| sk_c9 = sF12 ),
inference(definition_folding,[],[f27,f58,f77]) ).
fof(f27,axiom,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c10 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f206,plain,
( spl14_11
| spl14_10 ),
inference(avatar_split_clause,[],[f68,f156,f161]) ).
fof(f68,plain,
( sk_c10 = sF1
| sk_c6 = sF7 ),
inference(definition_folding,[],[f21,f54,f67]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f205,plain,
( spl14_3
| spl14_8 ),
inference(avatar_split_clause,[],[f101,f146,f123]) ).
fof(f101,plain,
( sk_c10 = sF2
| sk_c9 = sF12 ),
inference(definition_folding,[],[f25,f56,f77]) ).
fof(f25,axiom,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c10 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f204,plain,
( spl14_12
| spl14_3 ),
inference(avatar_split_clause,[],[f83,f123,f167]) ).
fof(f83,plain,
( sk_c9 = sF12
| sk_c10 = sF8 ),
inference(definition_folding,[],[f24,f70,f77]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f203,plain,
( spl14_12
| spl14_7 ),
inference(avatar_split_clause,[],[f112,f142,f167]) ).
fof(f112,plain,
( sk_c3 = sF5
| sk_c10 = sF8 ),
inference(definition_folding,[],[f33,f61,f70]) ).
fof(f33,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f202,plain,
( spl14_10
| spl14_6 ),
inference(avatar_split_clause,[],[f98,f137,f156]) ).
fof(f98,plain,
( sk_c10 = sF13
| sk_c10 = sF1 ),
inference(definition_folding,[],[f14,f54,f84]) ).
fof(f14,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f201,plain,
( spl14_10
| spl14_4 ),
inference(avatar_split_clause,[],[f55,f128,f156]) ).
fof(f55,plain,
( sk_c9 = sF0
| sk_c10 = sF1 ),
inference(definition_folding,[],[f13,f54,f53]) ).
fof(f13,axiom,
( inverse(sk_c10) = sk_c9
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f200,plain,
( spl14_2
| spl14_11 ),
inference(avatar_split_clause,[],[f87,f161,f118]) ).
fof(f87,plain,
( sk_c6 = sF7
| sk_c10 = sF9 ),
inference(definition_folding,[],[f12,f71,f67]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f199,plain,
( spl14_13
| spl14_3 ),
inference(avatar_split_clause,[],[f111,f123,f172]) ).
fof(f111,plain,
( sk_c9 = sF12
| sk_c8 = sF10 ),
inference(definition_folding,[],[f29,f77,f74]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c9 = multiply(sk_c10,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f198,plain,
( spl14_2
| spl14_6 ),
inference(avatar_split_clause,[],[f85,f137,f118]) ).
fof(f85,plain,
( sk_c10 = sF13
| sk_c10 = sF9 ),
inference(definition_folding,[],[f5,f71,f84]) ).
fof(f5,axiom,
( sk_c10 = inverse(sk_c4)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f197,plain,
( spl14_7
| spl14_1 ),
inference(avatar_split_clause,[],[f90,f114,f142]) ).
fof(f90,plain,
( sk_c8 = sF11
| sk_c3 = sF5 ),
inference(definition_folding,[],[f35,f61,f76]) ).
fof(f35,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f196,plain,
( spl14_5
| spl14_8 ),
inference(avatar_split_clause,[],[f65,f146,f132]) ).
fof(f65,plain,
( sk_c10 = sF2
| sk_c10 = sF6 ),
inference(definition_folding,[],[f43,f56,f64]) ).
fof(f43,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f195,plain,
( spl14_2
| spl14_4 ),
inference(avatar_split_clause,[],[f93,f128,f118]) ).
fof(f93,plain,
( sk_c9 = sF0
| sk_c10 = sF9 ),
inference(definition_folding,[],[f4,f71,f53]) ).
fof(f4,axiom,
( inverse(sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f194,plain,
( spl14_5
| spl14_12 ),
inference(avatar_split_clause,[],[f104,f167,f132]) ).
fof(f104,plain,
( sk_c10 = sF8
| sk_c10 = sF6 ),
inference(definition_folding,[],[f42,f70,f64]) ).
fof(f42,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f193,plain,
( spl14_3
| spl14_4 ),
inference(avatar_split_clause,[],[f94,f128,f123]) ).
fof(f94,plain,
( sk_c9 = sF0
| sk_c9 = sF12 ),
inference(definition_folding,[],[f22,f53,f77]) ).
fof(f22,axiom,
( sk_c9 = multiply(sk_c10,sk_c3)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f192,plain,
( spl14_13
| spl14_10 ),
inference(avatar_split_clause,[],[f80,f156,f172]) ).
fof(f80,plain,
( sk_c10 = sF1
| sk_c8 = sF10 ),
inference(definition_folding,[],[f20,f74,f54]) ).
fof(f20,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f191,plain,
( spl14_5
| spl14_9 ),
inference(avatar_split_clause,[],[f66,f151,f132]) ).
fof(f66,plain,
( sk_c6 = sF4
| sk_c10 = sF6 ),
inference(definition_folding,[],[f46,f64,f60]) ).
fof(f46,axiom,
( inverse(sk_c7) = sk_c6
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f190,plain,
( spl14_7
| spl14_4 ),
inference(avatar_split_clause,[],[f102,f128,f142]) ).
fof(f102,plain,
( sk_c9 = sF0
| sk_c3 = sF5 ),
inference(definition_folding,[],[f31,f53,f61]) ).
fof(f31,axiom,
( sk_c3 = multiply(sk_c2,sk_c10)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f189,plain,
( spl14_13
| spl14_2 ),
inference(avatar_split_clause,[],[f96,f118,f172]) ).
fof(f96,plain,
( sk_c10 = sF9
| sk_c8 = sF10 ),
inference(definition_folding,[],[f11,f71,f74]) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c6)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f188,plain,
( spl14_13
| spl14_5 ),
inference(avatar_split_clause,[],[f109,f132,f172]) ).
fof(f109,plain,
( sk_c10 = sF6
| sk_c8 = sF10 ),
inference(definition_folding,[],[f47,f64,f74]) ).
fof(f47,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f187,plain,
( spl14_3
| spl14_9 ),
inference(avatar_split_clause,[],[f107,f151,f123]) ).
fof(f107,plain,
( sk_c6 = sF4
| sk_c9 = sF12 ),
inference(definition_folding,[],[f28,f60,f77]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c10,sk_c3)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f186,plain,
( spl14_10
| spl14_14 ),
inference(avatar_split_clause,[],[f59,f179,f156]) ).
fof(f59,plain,
( sk_c10 = sF3
| sk_c10 = sF1 ),
inference(definition_folding,[],[f18,f54,f58]) ).
fof(f18,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f185,plain,
( spl14_2
| spl14_8 ),
inference(avatar_split_clause,[],[f108,f146,f118]) ).
fof(f108,plain,
( sk_c10 = sF2
| sk_c10 = sF9 ),
inference(definition_folding,[],[f7,f56,f71]) ).
fof(f7,axiom,
( inverse(sk_c1) = sk_c10
| sk_c10 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f184,plain,
( spl14_2
| spl14_9 ),
inference(avatar_split_clause,[],[f100,f151,f118]) ).
fof(f100,plain,
( sk_c6 = sF4
| sk_c10 = sF9 ),
inference(definition_folding,[],[f10,f71,f60]) ).
fof(f10,axiom,
( inverse(sk_c7) = sk_c6
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f183,plain,
( spl14_9
| spl14_10 ),
inference(avatar_split_clause,[],[f88,f156,f151]) ).
fof(f88,plain,
( sk_c10 = sF1
| sk_c6 = sF4 ),
inference(definition_folding,[],[f19,f60,f54]) ).
fof(f19,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f177,plain,
( spl14_7
| spl14_6 ),
inference(avatar_split_clause,[],[f97,f137,f142]) ).
fof(f97,plain,
( sk_c10 = sF13
| sk_c3 = sF5 ),
inference(definition_folding,[],[f32,f61,f84]) ).
fof(f32,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f176,plain,
( spl14_5
| spl14_6 ),
inference(avatar_split_clause,[],[f99,f137,f132]) ).
fof(f99,plain,
( sk_c10 = sF13
| sk_c10 = sF6 ),
inference(definition_folding,[],[f41,f84,f64]) ).
fof(f41,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f170,plain,
( spl14_10
| spl14_12 ),
inference(avatar_split_clause,[],[f106,f167,f156]) ).
fof(f106,plain,
( sk_c10 = sF8
| sk_c10 = sF1 ),
inference(definition_folding,[],[f15,f54,f70]) ).
fof(f15,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f165,plain,
( spl14_1
| spl14_5 ),
inference(avatar_split_clause,[],[f105,f132,f114]) ).
fof(f105,plain,
( sk_c10 = sF6
| sk_c8 = sF11 ),
inference(definition_folding,[],[f44,f64,f76]) ).
fof(f44,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f164,plain,
( spl14_5
| spl14_11 ),
inference(avatar_split_clause,[],[f110,f161,f132]) ).
fof(f110,plain,
( sk_c6 = sF7
| sk_c10 = sF6 ),
inference(definition_folding,[],[f48,f67,f64]) ).
fof(f48,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f159,plain,
( spl14_10
| spl14_8 ),
inference(avatar_split_clause,[],[f57,f146,f156]) ).
fof(f57,plain,
( sk_c10 = sF2
| sk_c10 = sF1 ),
inference(definition_folding,[],[f16,f56,f54]) ).
fof(f16,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f149,plain,
( spl14_7
| spl14_8 ),
inference(avatar_split_clause,[],[f89,f146,f142]) ).
fof(f89,plain,
( sk_c10 = sF2
| sk_c3 = sF5 ),
inference(definition_folding,[],[f34,f56,f61]) ).
fof(f34,axiom,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f140,plain,
( spl14_6
| spl14_3 ),
inference(avatar_split_clause,[],[f95,f123,f137]) ).
fof(f95,plain,
( sk_c9 = sF12
| sk_c10 = sF13 ),
inference(definition_folding,[],[f23,f84,f77]) ).
fof(f23,axiom,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f135,plain,
( spl14_4
| spl14_5 ),
inference(avatar_split_clause,[],[f103,f132,f128]) ).
fof(f103,plain,
( sk_c10 = sF6
| sk_c9 = sF0 ),
inference(definition_folding,[],[f40,f64,f53]) ).
fof(f40,axiom,
( inverse(sk_c10) = sk_c9
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f126,plain,
( spl14_3
| spl14_1 ),
inference(avatar_split_clause,[],[f78,f114,f123]) ).
fof(f78,plain,
( sk_c8 = sF11
| sk_c9 = sF12 ),
inference(definition_folding,[],[f26,f77,f76]) ).
fof(f26,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c10,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f121,plain,
( spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f79,f118,f114]) ).
fof(f79,plain,
( sk_c10 = sF9
| sk_c8 = sF11 ),
inference(definition_folding,[],[f8,f76,f71]) ).
fof(f8,axiom,
( inverse(sk_c1) = sk_c10
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP228-1 : 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
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:30:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (30911)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)
% 0.19/0.51 % (30903)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)
% 0.19/0.51 % (30908)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51 % (30895)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)
% 0.19/0.51 % (30890)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)
% 0.19/0.51 % (30889)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)
% 0.19/0.51 % (30899)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)
% 0.19/0.51 % (30886)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)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 % (30898)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)
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (30891)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (30885)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)
% 0.19/0.52 % (30887)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)
% 0.19/0.52 % (30906)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)
% 0.19/0.52 % (30907)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)
% 0.19/0.53 % (30884)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)
% 0.19/0.53 % (30897)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (30891)Instruction limit reached!
% 0.19/0.53 % (30891)------------------------------
% 0.19/0.53 % (30891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (30891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (30891)Termination reason: Unknown
% 0.19/0.53 % (30891)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (30891)Memory used [KB]: 5500
% 0.19/0.53 % (30891)Time elapsed: 0.085 s
% 0.19/0.53 % (30891)Instructions burned: 7 (million)
% 0.19/0.53 % (30891)------------------------------
% 0.19/0.53 % (30891)------------------------------
% 0.19/0.53 % (30888)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (30905)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.40/0.54 % (30902)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.54 TRYING [3]
% 1.40/0.54 % (30912)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.40/0.54 % (30909)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.40/0.54 % (30892)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.40/0.54 % (30896)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.40/0.54 % (30904)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)
% 1.40/0.54 % (30893)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)
% 1.40/0.54 % (30901)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.40/0.54 % (30910)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)
% 1.40/0.55 TRYING [4]
% 1.40/0.55 % (30900)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)
% 1.40/0.55 % (30890)Instruction limit reached!
% 1.40/0.55 % (30890)------------------------------
% 1.40/0.55 % (30890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55 % (30894)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.56/0.55 % (30914)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)
% 1.56/0.56 TRYING [1]
% 1.56/0.56 TRYING [2]
% 1.56/0.56 % (30908)First to succeed.
% 1.56/0.56 TRYING [3]
% 1.56/0.56 % (30892)Instruction limit reached!
% 1.56/0.56 % (30892)------------------------------
% 1.56/0.56 % (30892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (30892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (30892)Termination reason: Unknown
% 1.56/0.56 % (30892)Termination phase: Saturation
% 1.56/0.56
% 1.56/0.56 % (30892)Memory used [KB]: 895
% 1.56/0.56 % (30892)Time elapsed: 0.002 s
% 1.56/0.56 % (30892)Instructions burned: 2 (million)
% 1.56/0.56 % (30892)------------------------------
% 1.56/0.56 % (30892)------------------------------
% 1.56/0.56 % (30890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (30890)Termination reason: Unknown
% 1.56/0.56 % (30890)Termination phase: Finite model building constraint generation
% 1.56/0.56
% 1.56/0.56 % (30890)Memory used [KB]: 7036
% 1.56/0.56 % (30890)Time elapsed: 0.126 s
% 1.56/0.56 % (30890)Instructions burned: 51 (million)
% 1.56/0.56 % (30890)------------------------------
% 1.56/0.56 % (30890)------------------------------
% 1.56/0.57 % (30908)Refutation found. Thanks to Tanya!
% 1.56/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.56/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.58 % (30908)------------------------------
% 1.56/0.58 % (30908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.58 % (30908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.58 % (30908)Termination reason: Refutation
% 1.56/0.58
% 1.56/0.58 % (30908)Memory used [KB]: 6012
% 1.56/0.58 % (30908)Time elapsed: 0.141 s
% 1.56/0.58 % (30908)Instructions burned: 30 (million)
% 1.56/0.58 % (30908)------------------------------
% 1.56/0.58 % (30908)------------------------------
% 1.56/0.58 % (30881)Success in time 0.221 s
%------------------------------------------------------------------------------