TSTP Solution File: GRP271-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP271-1 : 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 : n005.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 16:21:06 EDT 2022
% Result : Unsatisfiable 2.02s 0.64s
% Output : Refutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 53
% Syntax : Number of formulae : 344 ( 10 unt; 0 def)
% Number of atoms : 1724 ( 454 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 2746 (1366 ~;1365 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 151 ( 151 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1120,plain,
$false,
inference(avatar_sat_refutation,[],[f65,f74,f84,f94,f95,f96,f101,f106,f107,f127,f128,f129,f131,f134,f139,f140,f141,f142,f144,f145,f147,f148,f149,f150,f152,f155,f156,f157,f158,f160,f161,f162,f163,f173,f175,f339,f395,f401,f417,f732,f816,f894,f1005,f1064,f1111,f1119]) ).
fof(f1119,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1118]) ).
fof(f1118,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f1117]) ).
fof(f1117,plain,
( sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f1116]) ).
fof(f1116,plain,
( sk_c1 != sk_c1
| sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f1115,f1033]) ).
fof(f1033,plain,
( sk_c1 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(backward_demodulation,[],[f88,f1027]) ).
fof(f1027,plain,
( sk_c1 = sk_c11
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f974,f995]) ).
fof(f995,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(backward_demodulation,[],[f903,f976]) ).
fof(f976,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(backward_demodulation,[],[f904,f968]) ).
fof(f968,plain,
( sk_c11 = sk_c10
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f965,f871]) ).
fof(f871,plain,
( ! [X4] : multiply(X4,sk_c10) = X4
| ~ spl0_4
| ~ spl0_7 ),
inference(backward_demodulation,[],[f418,f867]) ).
fof(f867,plain,
( identity = sk_c10
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f864,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f864,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f202,f570]) ).
fof(f570,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f560,f88]) ).
fof(f560,plain,
( sk_c11 = multiply(inverse(sk_c1),sk_c10)
| ~ spl0_4 ),
inference(superposition,[],[f202,f73]) ).
fof(f73,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl0_4
<=> multiply(sk_c1,sk_c11) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f202,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f200,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f200,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f418,plain,
! [X4] : multiply(X4,identity) = X4,
inference(forward_demodulation,[],[f227,f228]) ).
fof(f228,plain,
! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
inference(superposition,[],[f202,f202]) ).
fof(f227,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f202,f2]) ).
fof(f965,plain,
( sk_c10 = multiply(sk_c11,sk_c10)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(backward_demodulation,[],[f120,f960]) ).
fof(f960,plain,
( sk_c10 = sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f955,f904]) ).
fof(f955,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f872,f878]) ).
fof(f878,plain,
( sk_c10 = inverse(sk_c9)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f60,f876]) ).
fof(f876,plain,
( sk_c9 = sk_c2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f105,f871]) ).
fof(f105,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl0_10
<=> sk_c9 = multiply(sk_c2,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f60,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_1
<=> sk_c10 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f872,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c10
| ~ spl0_4
| ~ spl0_7 ),
inference(backward_demodulation,[],[f2,f867]) ).
fof(f120,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl0_13
<=> sk_c10 = multiply(sk_c11,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f904,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_4
| ~ spl0_7 ),
inference(backward_demodulation,[],[f561,f903]) ).
fof(f561,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c11,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f73]) ).
fof(f903,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = X0
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f870,f561]) ).
fof(f870,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_4
| ~ spl0_7 ),
inference(backward_demodulation,[],[f1,f867]) ).
fof(f974,plain,
( ! [X4] : multiply(X4,sk_c11) = X4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(backward_demodulation,[],[f871,f968]) ).
fof(f88,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl0_7
<=> sk_c11 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1115,plain,
( ! [X3] :
( sk_c1 != inverse(X3)
| sk_c1 != X3 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1114,f1036]) ).
fof(f1036,plain,
( sk_c1 = sk_c10
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(backward_demodulation,[],[f968,f1027]) ).
fof(f1114,plain,
( ! [X3] :
( sk_c10 != X3
| sk_c1 != inverse(X3) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1113,f1038]) ).
fof(f1038,plain,
( ! [X4] : multiply(X4,sk_c1) = X4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(backward_demodulation,[],[f974,f1027]) ).
fof(f1113,plain,
( ! [X3] :
( sk_c1 != inverse(X3)
| sk_c10 != multiply(X3,sk_c1) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1112,f1027]) ).
fof(f1112,plain,
( ! [X3] :
( sk_c1 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f169,f1027]) ).
fof(f169,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl0_17
<=> ! [X3] :
( sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1111,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1110]) ).
fof(f1110,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1109]) ).
fof(f1109,plain,
( sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f1108]) ).
fof(f1108,plain,
( sk_c1 != sk_c1
| sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f1085,f1033]) ).
fof(f1085,plain,
( ! [X0] :
( inverse(X0) != sk_c1
| sk_c1 != X0 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1084,f1038]) ).
fof(f1084,plain,
( ! [X0] :
( inverse(X0) != sk_c1
| sk_c1 != multiply(X0,sk_c1) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1083]) ).
fof(f1083,plain,
( ! [X0] :
( sk_c1 != multiply(X0,sk_c1)
| sk_c1 != sk_c1
| inverse(X0) != sk_c1 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1082,f1033]) ).
fof(f1082,plain,
( ! [X0] :
( inverse(X0) != sk_c1
| sk_c1 != inverse(sk_c1)
| sk_c1 != multiply(X0,sk_c1) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1081,f1033]) ).
fof(f1081,plain,
( ! [X0] :
( inverse(X0) != sk_c1
| sk_c1 != multiply(X0,inverse(sk_c1))
| sk_c1 != inverse(sk_c1) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1080,f995]) ).
fof(f1080,plain,
( ! [X0] :
( inverse(X0) != sk_c1
| sk_c1 != multiply(sk_c1,inverse(sk_c1))
| sk_c1 != multiply(X0,inverse(sk_c1)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1079,f1033]) ).
fof(f1079,plain,
( ! [X0] :
( inverse(X0) != inverse(sk_c1)
| sk_c1 != multiply(sk_c1,inverse(sk_c1))
| sk_c1 != multiply(X0,inverse(sk_c1)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1075]) ).
fof(f1075,plain,
( ! [X0] :
( sk_c1 != sk_c1
| sk_c1 != multiply(sk_c1,inverse(sk_c1))
| inverse(X0) != inverse(sk_c1)
| sk_c1 != multiply(X0,inverse(sk_c1)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f1074,f1033]) ).
fof(f1074,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| sk_c1 != multiply(X7,inverse(inverse(X9)))
| sk_c1 != X9 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1073,f1027]) ).
fof(f1073,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(inverse(X9))
| sk_c1 != multiply(X7,inverse(inverse(X9)))
| sk_c11 != X9
| inverse(X9) != multiply(X9,inverse(inverse(X9))) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1072,f1038]) ).
fof(f1072,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c1 != multiply(X7,inverse(inverse(X9)))
| sk_c11 != multiply(X9,sk_c1)
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1071,f1036]) ).
fof(f1071,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| sk_c1 != multiply(X7,inverse(inverse(X9)))
| sk_c11 != multiply(X9,sk_c10) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1070,f228]) ).
fof(f1070,plain,
( ! [X9,X7] :
( sk_c1 != multiply(X7,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f172,f1027]) ).
fof(f172,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl0_18
<=> ! [X9,X7] :
( sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(X7,inverse(inverse(X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1064,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1063]) ).
fof(f1063,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f1062]) ).
fof(f1062,plain,
( sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f1061]) ).
fof(f1061,plain,
( sk_c1 != sk_c1
| sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f1048,f1033]) ).
fof(f1048,plain,
( ! [X6] :
( sk_c1 != inverse(X6)
| sk_c1 != X6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1045,f1027]) ).
fof(f1045,plain,
( ! [X6] :
( sk_c1 != inverse(X6)
| sk_c11 != X6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_16 ),
inference(backward_demodulation,[],[f982,f1027]) ).
fof(f982,plain,
( ! [X6] :
( sk_c11 != X6
| sk_c11 != inverse(X6) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f980,f968]) ).
fof(f980,plain,
( ! [X6] :
( sk_c11 != inverse(X6)
| sk_c10 != X6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13
| ~ spl0_16 ),
inference(backward_demodulation,[],[f964,f968]) ).
fof(f964,plain,
( ! [X6] :
( sk_c10 != X6
| sk_c10 != inverse(X6) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_16 ),
inference(backward_demodulation,[],[f873,f960]) ).
fof(f873,plain,
( ! [X6] :
( sk_c9 != X6
| sk_c10 != inverse(X6) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16 ),
inference(backward_demodulation,[],[f166,f871]) ).
fof(f166,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl0_16
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1005,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1004]) ).
fof(f1004,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f1001]) ).
fof(f1001,plain,
( sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(backward_demodulation,[],[f979,f1000]) ).
fof(f1000,plain,
( sk_c11 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f999,f976]) ).
fof(f999,plain,
( sk_c11 = multiply(sk_c11,sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f956,f968]) ).
fof(f956,plain,
( sk_c10 = multiply(sk_c10,sk_c4)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f872,f64]) ).
fof(f64,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl0_2
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f979,plain,
( sk_c11 != sk_c4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(backward_demodulation,[],[f963,f968]) ).
fof(f963,plain,
( sk_c10 != sk_c4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f949,f960]) ).
fof(f949,plain,
( sk_c4 != sk_c9
| ~ spl0_4
| ~ spl0_7
| spl0_9 ),
inference(forward_demodulation,[],[f99,f871]) ).
fof(f99,plain,
( multiply(sk_c4,sk_c10) != sk_c9
| spl0_9 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl0_9
<=> multiply(sk_c4,sk_c10) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f894,plain,
( spl0_15
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f893,f124,f91,f86,f71,f136]) ).
fof(f136,plain,
( spl0_15
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f91,plain,
( spl0_8
<=> sk_c11 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f124,plain,
( spl0_14
<=> sk_c11 = multiply(sk_c8,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f893,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f890,f439]) ).
fof(f439,plain,
( sk_c3 = inverse(sk_c11)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f229,f418]) ).
fof(f229,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl0_8 ),
inference(superposition,[],[f202,f195]) ).
fof(f195,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_8 ),
inference(superposition,[],[f2,f93]) ).
fof(f93,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f890,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14 ),
inference(backward_demodulation,[],[f238,f875]) ).
fof(f875,plain,
( sk_c11 = sk_c8
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14 ),
inference(backward_demodulation,[],[f126,f871]) ).
fof(f126,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f238,plain,
( sk_c10 = multiply(inverse(sk_c8),sk_c11)
| ~ spl0_14 ),
inference(superposition,[],[f202,f126]) ).
fof(f816,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f815]) ).
fof(f815,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f814]) ).
fof(f814,plain,
( sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f802,f811]) ).
fof(f811,plain,
( sk_c1 = inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f805,f771]) ).
fof(f771,plain,
( ! [X4] : multiply(X4,sk_c1) = X4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(backward_demodulation,[],[f755,f757]) ).
fof(f757,plain,
( sk_c1 = sk_c10
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(backward_demodulation,[],[f569,f755]) ).
fof(f569,plain,
( sk_c10 = multiply(sk_c1,sk_c10)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f568,f120]) ).
fof(f568,plain,
( sk_c10 = multiply(sk_c1,multiply(sk_c11,sk_c9))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9 ),
inference(backward_demodulation,[],[f435,f561]) ).
fof(f435,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_2
| ~ spl0_9 ),
inference(backward_demodulation,[],[f233,f64]) ).
fof(f233,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_9 ),
inference(superposition,[],[f202,f100]) ).
fof(f100,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f755,plain,
( ! [X4] : multiply(X4,sk_c10) = X4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(backward_demodulation,[],[f418,f750]) ).
fof(f750,plain,
( identity = sk_c10
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f749,f73]) ).
fof(f749,plain,
( identity = multiply(sk_c1,sk_c11)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(backward_demodulation,[],[f567,f748]) ).
fof(f748,plain,
( sk_c11 = multiply(sk_c11,sk_c4)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f747,f88]) ).
fof(f747,plain,
( inverse(sk_c1) = multiply(sk_c11,sk_c4)
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f743,f418]) ).
fof(f743,plain,
( multiply(sk_c11,sk_c4) = multiply(inverse(sk_c1),identity)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f202,f567]) ).
fof(f567,plain,
( identity = multiply(sk_c1,multiply(sk_c11,sk_c4))
| ~ spl0_2
| ~ spl0_4 ),
inference(backward_demodulation,[],[f196,f561]) ).
fof(f196,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f2,f64]) ).
fof(f805,plain,
( sk_c1 = multiply(inverse(sk_c5),sk_c1)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f790,f795]) ).
fof(f795,plain,
( sk_c1 = sk_c11
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f763,f794]) ).
fof(f794,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f793,f776]) ).
fof(f776,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f775,f558]) ).
fof(f558,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f202,f88]) ).
fof(f775,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,multiply(sk_c11,X0))) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(backward_demodulation,[],[f562,f772]) ).
fof(f772,plain,
( sk_c11 = sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f767,f88]) ).
fof(f767,plain,
( sk_c4 = inverse(sk_c1)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(backward_demodulation,[],[f434,f757]) ).
fof(f434,plain,
( sk_c4 = inverse(sk_c10)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f231,f418]) ).
fof(f231,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl0_2 ),
inference(superposition,[],[f202,f196]) ).
fof(f562,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c1,multiply(sk_c11,X0))) = X0
| ~ spl0_2
| ~ spl0_4 ),
inference(backward_demodulation,[],[f555,f561]) ).
fof(f555,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f202,f434]) ).
fof(f793,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f780,f785]) ).
fof(f785,plain,
( sk_c11 = sk_c8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f69,f781]) ).
fof(f781,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f736,f776]) ).
fof(f736,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c11,X0))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f735,f558]) ).
fof(f735,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,multiply(sk_c11,X0))) = multiply(sk_c5,multiply(sk_c11,X0))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f193,f561]) ).
fof(f193,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = multiply(sk_c5,multiply(sk_c11,X0))
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[],[f192,f3]) ).
fof(f192,plain,
( ! [X0] : multiply(multiply(sk_c11,sk_c10),X0) = multiply(sk_c5,multiply(sk_c11,X0))
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f3,f186]) ).
fof(f186,plain,
( multiply(sk_c11,sk_c10) = multiply(sk_c5,sk_c11)
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f180,f126]) ).
fof(f180,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c11,X0)
| ~ spl0_3 ),
inference(superposition,[],[f3,f69]) ).
fof(f69,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_3
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f780,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f734,f776]) ).
fof(f734,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,multiply(sk_c1,multiply(sk_c11,X0)))
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f187,f561]) ).
fof(f187,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,multiply(sk_c10,X0))
| ~ spl0_14 ),
inference(superposition,[],[f3,f126]) ).
fof(f763,plain,
( sk_c1 = multiply(sk_c1,sk_c11)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13 ),
inference(backward_demodulation,[],[f73,f757]) ).
fof(f790,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f235,f785]) ).
fof(f235,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_3 ),
inference(superposition,[],[f202,f69]) ).
fof(f802,plain,
( sk_c1 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f786,f795]) ).
fof(f786,plain,
( sk_c11 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f82,f785]) ).
fof(f82,plain,
( sk_c8 != inverse(sk_c5)
| spl0_6 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_6
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f732,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f731]) ).
fof(f731,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f730]) ).
fof(f730,plain,
( sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f729]) ).
fof(f729,plain,
( sk_c1 != sk_c1
| sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f717,f702]) ).
fof(f702,plain,
( sk_c1 = inverse(sk_c1)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(backward_demodulation,[],[f88,f701]) ).
fof(f701,plain,
( sk_c1 = sk_c11
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f700,f683]) ).
fof(f683,plain,
( sk_c11 = sk_c3
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f678,f649]) ).
fof(f649,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f574,f597]) ).
fof(f597,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(backward_demodulation,[],[f204,f595]) ).
fof(f595,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(backward_demodulation,[],[f573,f594]) ).
fof(f594,plain,
( sk_c3 = sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f591,f439]) ).
fof(f591,plain,
( sk_c4 = inverse(sk_c11)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(backward_demodulation,[],[f434,f585]) ).
fof(f585,plain,
( sk_c11 = sk_c10
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f581,f210]) ).
fof(f210,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f204,f138]) ).
fof(f138,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f581,plain,
( sk_c10 = multiply(sk_c11,sk_c10)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(backward_demodulation,[],[f120,f579]) ).
fof(f579,plain,
( sk_c10 = sk_c9
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15 ),
inference(backward_demodulation,[],[f100,f573]) ).
fof(f573,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_15 ),
inference(backward_demodulation,[],[f562,f572]) ).
fof(f572,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = X0
| ~ spl0_4
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f571,f563]) ).
fof(f563,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c1,multiply(sk_c11,X0))
| ~ spl0_4
| ~ spl0_15 ),
inference(backward_demodulation,[],[f191,f561]) ).
fof(f191,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,multiply(sk_c11,X0))
| ~ spl0_15 ),
inference(superposition,[],[f3,f138]) ).
fof(f571,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = X0
| ~ spl0_8 ),
inference(superposition,[],[f202,f439]) ).
fof(f204,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f203,f1]) ).
fof(f203,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f195]) ).
fof(f574,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = X0
| ~ spl0_4
| ~ spl0_8
| ~ spl0_15 ),
inference(backward_demodulation,[],[f563,f572]) ).
fof(f678,plain,
( sk_c3 = multiply(sk_c3,sk_c11)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f658,f439]) ).
fof(f658,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c3
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(backward_demodulation,[],[f2,f656]) ).
fof(f656,plain,
( identity = sk_c3
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f578,f594]) ).
fof(f578,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_15 ),
inference(backward_demodulation,[],[f567,f572]) ).
fof(f700,plain,
( sk_c1 = sk_c3
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f677,f597]) ).
fof(f677,plain,
( sk_c3 = multiply(sk_c11,sk_c1)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f658,f88]) ).
fof(f717,plain,
( ! [X6] :
( sk_c1 != inverse(X6)
| sk_c1 != X6 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f714,f701]) ).
fof(f714,plain,
( ! [X6] :
( sk_c11 != X6
| sk_c1 != inverse(X6) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(backward_demodulation,[],[f692,f701]) ).
fof(f692,plain,
( ! [X6] :
( sk_c11 != X6
| sk_c11 != inverse(X6) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(backward_demodulation,[],[f646,f689]) ).
fof(f689,plain,
( ! [X4] : multiply(X4,sk_c11) = X4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(backward_demodulation,[],[f657,f683]) ).
fof(f657,plain,
( ! [X4] : multiply(X4,sk_c3) = X4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(backward_demodulation,[],[f418,f656]) ).
fof(f646,plain,
( ! [X6] :
( sk_c11 != inverse(X6)
| sk_c11 != multiply(X6,sk_c11) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f645,f585]) ).
fof(f645,plain,
( ! [X6] :
( sk_c11 != inverse(X6)
| sk_c10 != multiply(X6,sk_c10) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f582,f585]) ).
fof(f582,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c10) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16 ),
inference(backward_demodulation,[],[f166,f579]) ).
fof(f417,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f416,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f415]) ).
fof(f415,plain,
( sk_c11 != sk_c11
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f414]) ).
fof(f414,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f413,f331]) ).
fof(f331,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f292,f324]) ).
fof(f324,plain,
( sk_c11 = sk_c10
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f323,f315]) ).
fof(f315,plain,
( ! [X4] : multiply(X4,sk_c10) = X4
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f282,f228]) ).
fof(f282,plain,
( ! [X4] : multiply(inverse(inverse(X4)),sk_c10) = X4
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f227,f276]) ).
fof(f276,plain,
( identity = sk_c10
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f275,f2]) ).
fof(f275,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f238,f254]) ).
fof(f254,plain,
( sk_c11 = sk_c8
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f253,f246]) ).
fof(f246,plain,
( sk_c11 = multiply(sk_c8,sk_c11)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f237,f83]) ).
fof(f83,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f237,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f202,f213]) ).
fof(f213,plain,
( sk_c11 = multiply(sk_c5,sk_c11)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f186,f210]) ).
fof(f253,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f235,f83]) ).
fof(f323,plain,
( sk_c10 = multiply(sk_c11,sk_c10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f284,f317]) ).
fof(f317,plain,
( sk_c10 = sk_c5
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f290,f315]) ).
fof(f290,plain,
( sk_c10 = multiply(sk_c5,sk_c10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f274,f276]) ).
fof(f274,plain,
( identity = multiply(sk_c5,identity)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f214,f263]) ).
fof(f263,plain,
( identity = multiply(sk_c11,sk_c5)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f197,f254]) ).
fof(f197,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f2,f83]) ).
fof(f214,plain,
( multiply(sk_c11,sk_c5) = multiply(sk_c5,identity)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f180,f197]) ).
fof(f284,plain,
( sk_c10 = multiply(sk_c11,sk_c5)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f263,f276]) ).
fof(f292,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f64,f291]) ).
fof(f291,plain,
( sk_c10 = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f283,f281]) ).
fof(f281,plain,
( ! [X0] : multiply(inverse(sk_c10),X0) = X0
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f225,f276]) ).
fof(f225,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f202,f1]) ).
fof(f283,plain,
( sk_c4 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f231,f276]) ).
fof(f413,plain,
( ! [X0] :
( inverse(X0) != sk_c11
| sk_c11 != X0 )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f412]) ).
fof(f412,plain,
( ! [X0] :
( sk_c11 != X0
| sk_c11 != sk_c11
| inverse(X0) != sk_c11 )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f411,f331]) ).
fof(f411,plain,
( ! [X0] :
( inverse(X0) != sk_c11
| sk_c11 != X0
| sk_c11 != inverse(sk_c11) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f410,f336]) ).
fof(f336,plain,
( ! [X4] : multiply(X4,sk_c11) = X4
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f315,f324]) ).
fof(f410,plain,
( ! [X0] :
( sk_c11 != multiply(X0,sk_c11)
| sk_c11 != inverse(sk_c11)
| inverse(X0) != sk_c11 )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f409,f331]) ).
fof(f409,plain,
( ! [X0] :
( sk_c11 != multiply(X0,inverse(sk_c11))
| inverse(X0) != sk_c11
| sk_c11 != inverse(sk_c11) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f408,f343]) ).
fof(f343,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f341,f269]) ).
fof(f269,plain,
( ! [X9] : multiply(sk_c11,multiply(sk_c11,X9)) = multiply(sk_c11,X9)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f245,f254]) ).
fof(f245,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c11,X9)) = multiply(sk_c8,X9)
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f236,f83]) ).
fof(f236,plain,
( ! [X9] : multiply(inverse(sk_c5),multiply(sk_c11,X9)) = multiply(sk_c8,X9)
| ~ spl0_3 ),
inference(superposition,[],[f202,f180]) ).
fof(f341,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c11,X0)) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f204,f340]) ).
fof(f340,plain,
( ! [X7] : multiply(sk_c3,X7) = multiply(sk_c11,X7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f230,f331]) ).
fof(f230,plain,
( ! [X7] : multiply(sk_c3,X7) = multiply(inverse(sk_c11),X7)
| ~ spl0_8 ),
inference(superposition,[],[f202,f204]) ).
fof(f408,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,inverse(sk_c11))
| inverse(X0) != sk_c11
| sk_c11 != multiply(X0,inverse(sk_c11)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f407,f331]) ).
fof(f407,plain,
( ! [X0] :
( inverse(X0) != inverse(sk_c11)
| sk_c11 != multiply(X0,inverse(sk_c11))
| sk_c11 != multiply(sk_c11,inverse(sk_c11)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f405]) ).
fof(f405,plain,
( ! [X0] :
( sk_c11 != sk_c11
| sk_c11 != multiply(X0,inverse(sk_c11))
| sk_c11 != multiply(sk_c11,inverse(sk_c11))
| inverse(X0) != inverse(sk_c11) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f404,f331]) ).
fof(f404,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != X9 )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f403,f336]) ).
fof(f403,plain,
( ! [X9,X7] :
( sk_c11 != multiply(X7,inverse(inverse(X9)))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(X9,sk_c11)
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f402,f324]) ).
fof(f402,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(X9,sk_c10)
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| inverse(X9) != multiply(X9,inverse(inverse(X9))) )
| ~ spl0_18 ),
inference(forward_demodulation,[],[f172,f228]) ).
fof(f401,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f400,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f399]) ).
fof(f399,plain,
( sk_c11 != sk_c11
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f398]) ).
fof(f398,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f397,f331]) ).
fof(f397,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != X3 )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f396,f324]) ).
fof(f396,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c10 != X3 )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f169,f336]) ).
fof(f395,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f394,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f393]) ).
fof(f393,plain,
( sk_c11 != sk_c11
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f392]) ).
fof(f392,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f384,f331]) ).
fof(f384,plain,
( ! [X6] :
( sk_c11 != inverse(X6)
| sk_c11 != X6 )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f383,f333]) ).
fof(f333,plain,
( sk_c11 = sk_c9
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f303,f324]) ).
fof(f303,plain,
( sk_c10 = sk_c9
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f293,f300]) ).
fof(f300,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f281,f292]) ).
fof(f293,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f100,f291]) ).
fof(f383,plain,
( ! [X6] :
( sk_c11 != inverse(X6)
| sk_c9 != X6 )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f382,f336]) ).
fof(f382,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c11)
| sk_c11 != inverse(X6) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f381,f324]) ).
fof(f381,plain,
( ! [X6] :
( sk_c11 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f166,f324]) ).
fof(f339,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f338]) ).
fof(f338,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f334]) ).
fof(f334,plain,
( sk_c11 != sk_c11
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f308,f324]) ).
fof(f308,plain,
( sk_c11 != sk_c10
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f306,f210]) ).
fof(f306,plain,
( sk_c10 != multiply(sk_c11,sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f119,f303]) ).
fof(f119,plain,
( sk_c10 != multiply(sk_c11,sk_c9)
| spl0_13 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f175,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f29,f118,f81]) ).
fof(f29,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f173,plain,
( spl0_16
| spl0_16
| spl0_17
| ~ spl0_13
| spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f56,f171,f168,f118,f168,f165,f165]) ).
fof(f56,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| sk_c10 != multiply(X3,sk_c11)
| sk_c10 != inverse(X4)
| sk_c10 != inverse(X6)
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X5)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(X4,sk_c10)
| inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(inverse(X9))) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X3)
| sk_c9 != multiply(X4,sk_c10)
| sk_c11 != multiply(X8,sk_c10)
| sk_c10 != inverse(X6)
| sk_c11 != inverse(X5)
| inverse(X9) != multiply(X9,X8)
| sk_c10 != inverse(X4)
| sk_c10 != multiply(X3,sk_c11)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != multiply(X7,X8)
| sk_c10 != multiply(sk_c11,sk_c9)
| inverse(inverse(X9)) != X8
| inverse(X7) != X8 ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X3)
| sk_c9 != multiply(X4,sk_c10)
| sk_c11 != multiply(X8,sk_c10)
| inverse(X9) != X10
| sk_c10 != inverse(X6)
| sk_c11 != inverse(X5)
| multiply(X9,X8) != X10
| sk_c10 != inverse(X4)
| sk_c10 != multiply(X3,sk_c11)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != multiply(X7,X8)
| sk_c10 != multiply(sk_c11,sk_c9)
| inverse(X10) != X8
| inverse(X7) != X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f163,plain,
( spl0_15
| spl0_10 ),
inference(avatar_split_clause,[],[f34,f103,f136]) ).
fof(f34,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f162,plain,
( spl0_2
| spl0_13 ),
inference(avatar_split_clause,[],[f27,f118,f62]) ).
fof(f27,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f161,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f14,f136,f86]) ).
fof(f14,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f160,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f18,f67,f86]) ).
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(f158,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f38,f67,f103]) ).
fof(f38,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f157,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f5,f91,f71]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f156,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f24,f136,f118]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f155,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f19,f81,f86]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f152,plain,
( spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f49,f58,f81]) ).
fof(f49,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f150,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f118,f67]) ).
fof(f28,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f149,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f7,f62,f71]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f148,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f20,f86,f124]) ).
fof(f20,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f147,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f36,f98,f103]) ).
fof(f36,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f145,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f16,f86,f98]) ).
fof(f16,axiom,
( sk_c11 = inverse(sk_c1)
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f144,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f25,f91,f118]) ).
fof(f25,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f142,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f26,f98,f118]) ).
fof(f26,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f141,plain,
( spl0_14
| spl0_13 ),
inference(avatar_split_clause,[],[f30,f118,f124]) ).
fof(f30,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f140,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f40,f124,f103]) ).
fof(f40,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f139,plain,
( spl0_4
| spl0_15 ),
inference(avatar_split_clause,[],[f4,f136,f71]) ).
fof(f4,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f134,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f39,f103,f81]) ).
fof(f39,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f131,plain,
( spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f37,f103,f62]) ).
fof(f37,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f129,plain,
( spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f17,f86,f62]) ).
fof(f17,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f128,plain,
( spl0_14
| spl0_1 ),
inference(avatar_split_clause,[],[f50,f58,f124]) ).
fof(f50,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f127,plain,
( spl0_4
| spl0_14 ),
inference(avatar_split_clause,[],[f10,f124,f71]) ).
fof(f10,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f107,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f6,f98,f71]) ).
fof(f6,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f106,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f35,f103,f91]) ).
fof(f35,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f101,plain,
( spl0_9
| spl0_1 ),
inference(avatar_split_clause,[],[f46,f58,f98]) ).
fof(f46,axiom,
( sk_c10 = inverse(sk_c2)
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f96,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f48,f67,f58]) ).
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(f95,plain,
( spl0_8
| spl0_1 ),
inference(avatar_split_clause,[],[f45,f58,f91]) ).
fof(f45,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f94,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f15,f86,f91]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f84,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f9,f71,f81]) ).
fof(f9,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f74,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f8,f71,f67]) ).
fof(f8,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f65,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f47,f62,f58]) ).
fof(f47,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP271-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:23:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (12144)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.51 % (12152)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.51 TRYING [1]
% 0.21/0.51 TRYING [2]
% 0.21/0.52 % (12131)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 TRYING [3]
% 0.21/0.53 % (12127)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)
% 0.21/0.53 % (12134)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (12134)Instruction limit reached!
% 0.21/0.53 % (12134)------------------------------
% 0.21/0.53 % (12134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (12134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (12134)Termination reason: Unknown
% 0.21/0.53 % (12134)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (12134)Memory used [KB]: 5628
% 0.21/0.53 % (12134)Time elapsed: 0.123 s
% 0.21/0.53 % (12134)Instructions burned: 7 (million)
% 0.21/0.53 % (12134)------------------------------
% 0.21/0.53 % (12134)------------------------------
% 0.21/0.53 % (12149)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 % (12129)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)
% 0.21/0.53 % (12147)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.53 % (12130)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)
% 0.21/0.54 % (12135)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54 % (12136)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)
% 0.21/0.54 % (12135)Instruction limit reached!
% 0.21/0.54 % (12135)------------------------------
% 0.21/0.54 % (12135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (12155)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.54 % (12135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (12135)Termination reason: Unknown
% 0.21/0.54 % (12135)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (12135)Memory used [KB]: 895
% 0.21/0.54 % (12135)Time elapsed: 0.004 s
% 0.21/0.54 % (12135)Instructions burned: 2 (million)
% 0.21/0.54 % (12135)------------------------------
% 0.21/0.54 % (12135)------------------------------
% 0.21/0.54 % (12132)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)
% 0.21/0.54 % (12133)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 % (12146)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)
% 0.21/0.54 % (12145)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 % (12128)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)
% 0.21/0.54 % (12150)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)
% 0.21/0.54 % (12139)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.54 TRYING [1]
% 0.21/0.55 TRYING [2]
% 0.21/0.55 % (12141)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)
% 0.21/0.55 TRYING [1]
% 0.21/0.55 TRYING [2]
% 0.21/0.55 % (12138)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)
% 0.21/0.55 TRYING [4]
% 0.21/0.55 % (12137)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55 % (12153)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)
% 0.21/0.55 % (12151)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.55 % (12148)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55 % (12142)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)
% 0.21/0.55 TRYING [3]
% 0.21/0.56 % (12156)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.56 % (12154)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)
% 0.21/0.56 % (12143)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.57 % (12140)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.57 % (12144)Instruction limit reached!
% 0.21/0.57 % (12144)------------------------------
% 0.21/0.57 % (12144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (12144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (12144)Termination reason: Unknown
% 0.21/0.57 % (12144)Termination phase: Finite model building SAT solving
% 0.21/0.57
% 0.21/0.57 % (12144)Memory used [KB]: 7164
% 0.21/0.57 % (12144)Time elapsed: 0.144 s
% 0.21/0.57 % (12144)Instructions burned: 59 (million)
% 0.21/0.57 % (12144)------------------------------
% 0.21/0.57 % (12144)------------------------------
% 0.21/0.58 TRYING [3]
% 0.21/0.59 TRYING [4]
% 0.21/0.59 % (12129)Instruction limit reached!
% 0.21/0.59 % (12129)------------------------------
% 0.21/0.59 % (12129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (12129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (12129)Termination reason: Unknown
% 0.21/0.59 % (12129)Termination phase: Saturation
% 0.21/0.59
% 0.21/0.59 % (12129)Memory used [KB]: 1279
% 0.21/0.59 % (12129)Time elapsed: 0.188 s
% 0.21/0.59 % (12129)Instructions burned: 38 (million)
% 0.21/0.59 % (12129)------------------------------
% 0.21/0.59 % (12129)------------------------------
% 0.21/0.60 TRYING [4]
% 0.21/0.61 % (12133)Instruction limit reached!
% 0.21/0.61 % (12133)------------------------------
% 0.21/0.61 % (12133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.61 % (12133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.61 % (12133)Termination reason: Unknown
% 0.21/0.61 % (12133)Termination phase: Finite model building constraint generation
% 0.21/0.61
% 0.21/0.61 % (12133)Memory used [KB]: 6780
% 0.21/0.61 % (12133)Time elapsed: 0.148 s
% 0.21/0.61 % (12133)Instructions burned: 53 (million)
% 0.21/0.61 % (12133)------------------------------
% 0.21/0.61 % (12133)------------------------------
% 0.21/0.61 % (12131)Instruction limit reached!
% 0.21/0.61 % (12131)------------------------------
% 0.21/0.61 % (12131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.61 % (12131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.61 % (12131)Termination reason: Unknown
% 0.21/0.61 % (12131)Termination phase: Saturation
% 0.21/0.61
% 0.21/0.61 % (12131)Memory used [KB]: 6396
% 0.21/0.61 % (12131)Time elapsed: 0.185 s
% 0.21/0.61 % (12131)Instructions burned: 52 (million)
% 0.21/0.61 % (12131)------------------------------
% 0.21/0.61 % (12131)------------------------------
% 0.21/0.61 % (12156)First to succeed.
% 0.21/0.62 % (12136)Instruction limit reached!
% 0.21/0.62 % (12136)------------------------------
% 0.21/0.62 % (12136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.62 % (12136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.62 % (12136)Termination reason: Unknown
% 0.21/0.62 % (12136)Termination phase: Saturation
% 0.21/0.62
% 0.21/0.62 % (12136)Memory used [KB]: 1407
% 0.21/0.62 % (12136)Time elapsed: 0.213 s
% 0.21/0.62 % (12136)Instructions burned: 51 (million)
% 0.21/0.62 % (12136)------------------------------
% 0.21/0.62 % (12136)------------------------------
% 0.21/0.62 % (12132)Instruction limit reached!
% 0.21/0.62 % (12132)------------------------------
% 0.21/0.62 % (12132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.62 % (12132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.62 % (12132)Termination reason: Unknown
% 0.21/0.62 % (12132)Termination phase: Saturation
% 0.21/0.62
% 0.21/0.62 % (12132)Memory used [KB]: 6012
% 0.21/0.62 % (12132)Time elapsed: 0.218 s
% 0.21/0.62 % (12132)Instructions burned: 48 (million)
% 0.21/0.62 % (12132)------------------------------
% 0.21/0.62 % (12132)------------------------------
% 0.21/0.63 % (12130)Instruction limit reached!
% 0.21/0.63 % (12130)------------------------------
% 0.21/0.63 % (12130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.63 % (12130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.63 % (12130)Termination reason: Unknown
% 0.21/0.63 % (12130)Termination phase: Saturation
% 0.21/0.63
% 0.21/0.63 % (12130)Memory used [KB]: 6524
% 0.21/0.63 % (12130)Time elapsed: 0.190 s
% 0.21/0.63 % (12130)Instructions burned: 52 (million)
% 0.21/0.63 % (12130)------------------------------
% 0.21/0.63 % (12130)------------------------------
% 2.02/0.64 % (12128)Instruction limit reached!
% 2.02/0.64 % (12128)------------------------------
% 2.02/0.64 % (12128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.64 % (12128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.64 % (12128)Termination reason: Unknown
% 2.02/0.64 % (12128)Termination phase: Saturation
% 2.02/0.64
% 2.02/0.64 % (12128)Memory used [KB]: 6268
% 2.02/0.64 % (12128)Time elapsed: 0.215 s
% 2.02/0.64 % (12128)Instructions burned: 50 (million)
% 2.02/0.64 % (12128)------------------------------
% 2.02/0.64 % (12128)------------------------------
% 2.02/0.64 % (12156)Refutation found. Thanks to Tanya!
% 2.02/0.64 % SZS status Unsatisfiable for theBenchmark
% 2.02/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 2.02/0.64 % (12156)------------------------------
% 2.02/0.64 % (12156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.64 % (12156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.64 % (12156)Termination reason: Refutation
% 2.02/0.64
% 2.02/0.64 % (12156)Memory used [KB]: 5884
% 2.02/0.64 % (12156)Time elapsed: 0.201 s
% 2.02/0.64 % (12156)Instructions burned: 38 (million)
% 2.02/0.64 % (12156)------------------------------
% 2.02/0.64 % (12156)------------------------------
% 2.02/0.64 % (12126)Success in time 0.277 s
%------------------------------------------------------------------------------