TSTP Solution File: GRP242-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP242-1 : 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 : n026.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 16:21:00 EDT 2022
% Result : Unsatisfiable 2.20s 0.64s
% Output : Refutation 2.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 78
% Syntax : Number of formulae : 404 ( 9 unt; 0 def)
% Number of atoms : 2165 ( 506 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 3475 (1714 ~;1739 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 135 ( 135 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1385,plain,
$false,
inference(avatar_sat_refutation,[],[f75,f84,f89,f94,f104,f109,f114,f119,f120,f121,f126,f127,f137,f138,f139,f140,f141,f143,f144,f149,f150,f151,f152,f153,f154,f170,f171,f172,f173,f174,f180,f181,f182,f183,f184,f185,f188,f189,f190,f191,f192,f193,f194,f195,f197,f198,f199,f200,f201,f202,f204,f205,f206,f388,f428,f447,f456,f952,f981,f989,f1043,f1053,f1141,f1221,f1330,f1358,f1376,f1384]) ).
fof(f1384,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1383]) ).
fof(f1383,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1382]) ).
fof(f1382,plain,
( sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f1381]) ).
fof(f1381,plain,
( sk_c1 != sk_c1
| sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19
| ~ spl0_21 ),
inference(superposition,[],[f1380,f1314]) ).
fof(f1314,plain,
( sk_c1 = inverse(sk_c1)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f1295,f1313]) ).
fof(f1313,plain,
( sk_c1 = sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1299,f1307]) ).
fof(f1307,plain,
( ! [X9] : multiply(sk_c1,X9) = X9
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1306,f1302]) ).
fof(f1302,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c1,multiply(sk_c1,X0))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21 ),
inference(backward_demodulation,[],[f1281,f1292]) ).
fof(f1292,plain,
( sk_c1 = sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21 ),
inference(backward_demodulation,[],[f1289,f1284]) ).
fof(f1284,plain,
( ! [X4] : multiply(X4,sk_c1) = X4
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21 ),
inference(backward_demodulation,[],[f1252,f1273]) ).
fof(f1273,plain,
( sk_c1 = sk_c11
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1272,f1252]) ).
fof(f1272,plain,
( sk_c11 = multiply(sk_c1,sk_c11)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1262,f1269]) ).
fof(f1269,plain,
( sk_c11 = sk_c9
| ~ spl0_2
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1264,f74]) ).
fof(f74,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_2
<=> sk_c11 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1264,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21 ),
inference(backward_demodulation,[],[f103,f1258]) ).
fof(f1258,plain,
( sk_c1 = sk_c10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21 ),
inference(backward_demodulation,[],[f179,f1252]) ).
fof(f179,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl0_21
<=> multiply(sk_c1,sk_c11) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f103,plain,
( sk_c9 = inverse(sk_c10)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl0_8
<=> sk_c9 = inverse(sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1262,plain,
( sk_c11 = multiply(sk_c1,sk_c9)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21 ),
inference(backward_demodulation,[],[f93,f1258]) ).
fof(f93,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl0_6
<=> sk_c11 = multiply(sk_c10,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1252,plain,
( ! [X4] : multiply(X4,sk_c11) = X4
| ~ spl0_11
| ~ spl0_14 ),
inference(backward_demodulation,[],[f296,f1250]) ).
fof(f1250,plain,
( identity = sk_c11
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1248,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1248,plain,
( sk_c11 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f240,f1230]) ).
fof(f1230,plain,
( sk_c6 = multiply(sk_c6,sk_c11)
| ~ spl0_11
| ~ spl0_14 ),
inference(backward_demodulation,[],[f972,f118]) ).
fof(f118,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl0_11
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f972,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c11)
| ~ spl0_14 ),
inference(superposition,[],[f240,f136]) ).
fof(f136,plain,
( sk_c11 = multiply(sk_c3,sk_c6)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl0_14
<=> sk_c11 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f240,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f239,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f239,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(f296,plain,
! [X4] : multiply(X4,identity) = X4,
inference(backward_demodulation,[],[f262,f263]) ).
fof(f263,plain,
! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
inference(superposition,[],[f240,f240]) ).
fof(f262,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f240,f2]) ).
fof(f1289,plain,
( sk_c1 = multiply(sk_c6,sk_c1)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21 ),
inference(backward_demodulation,[],[f1260,f1273]) ).
fof(f1260,plain,
( sk_c11 = multiply(sk_c6,sk_c1)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21 ),
inference(backward_demodulation,[],[f83,f1258]) ).
fof(f83,plain,
( sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_4
<=> sk_c11 = multiply(sk_c6,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1281,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = multiply(sk_c6,X0)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21 ),
inference(backward_demodulation,[],[f1249,f1273]) ).
fof(f1249,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c11,X0))
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f3,f1230]) ).
fof(f1306,plain,
( ! [X9] : multiply(sk_c1,multiply(sk_c1,X9)) = X9
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f1301,f1302]) ).
fof(f1301,plain,
( ! [X9] : multiply(sk_c1,multiply(sk_c1,multiply(sk_c1,X9))) = X9
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f306,f1292]) ).
fof(f306,plain,
( ! [X9] : multiply(sk_c6,multiply(sk_c6,multiply(sk_c6,X9))) = X9
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15 ),
inference(backward_demodulation,[],[f285,f300]) ).
fof(f300,plain,
( sk_c6 = sk_c5
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15 ),
inference(backward_demodulation,[],[f288,f296]) ).
fof(f288,plain,
( sk_c6 = multiply(sk_c5,identity)
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f287,f238]) ).
fof(f238,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_15 ),
inference(superposition,[],[f2,f148]) ).
fof(f148,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl0_15
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f287,plain,
( sk_c6 = multiply(sk_c5,multiply(sk_c6,sk_c4))
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f286,f212]) ).
fof(f212,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c4,X0)
| ~ spl0_12 ),
inference(superposition,[],[f3,f125]) ).
fof(f125,plain,
( sk_c4 = multiply(sk_c5,sk_c6)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl0_12
<=> sk_c4 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f286,plain,
( sk_c6 = multiply(sk_c4,sk_c4)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f273,f108]) ).
fof(f108,plain,
( inverse(sk_c5) = sk_c4
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl0_9
<=> inverse(sk_c5) = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f273,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c4)
| ~ spl0_12 ),
inference(superposition,[],[f240,f125]) ).
fof(f285,plain,
( ! [X9] : multiply(sk_c6,multiply(sk_c5,multiply(sk_c6,X9))) = X9
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f275,f148]) ).
fof(f275,plain,
( ! [X9] : multiply(inverse(sk_c4),multiply(sk_c5,multiply(sk_c6,X9))) = X9
| ~ spl0_12 ),
inference(superposition,[],[f240,f212]) ).
fof(f1299,plain,
( sk_c4 = multiply(sk_c1,sk_c1)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f302,f1292]) ).
fof(f302,plain,
( sk_c4 = multiply(sk_c6,sk_c6)
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15 ),
inference(backward_demodulation,[],[f125,f300]) ).
fof(f1295,plain,
( sk_c1 = inverse(sk_c4)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f148,f1292]) ).
fof(f1380,plain,
( ! [X10] :
( sk_c1 != inverse(X10)
| sk_c1 != X10 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1379,f1273]) ).
fof(f1379,plain,
( ! [X10] :
( sk_c11 != inverse(X10)
| sk_c1 != X10 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1378,f1290]) ).
fof(f1290,plain,
( sk_c1 = sk_c9
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21 ),
inference(backward_demodulation,[],[f1269,f1273]) ).
fof(f1378,plain,
( ! [X10] :
( sk_c9 != X10
| sk_c11 != inverse(X10) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1377,f1284]) ).
fof(f1377,plain,
( ! [X10] :
( sk_c9 != multiply(X10,sk_c1)
| sk_c11 != inverse(X10) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f166,f1273]) ).
fof(f166,plain,
( ! [X10] :
( sk_c9 != multiply(X10,sk_c11)
| sk_c11 != inverse(X10) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl0_19
<=> ! [X10] :
( sk_c11 != inverse(X10)
| sk_c9 != multiply(X10,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1376,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1375]) ).
fof(f1375,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1374]) ).
fof(f1374,plain,
( sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f1373]) ).
fof(f1373,plain,
( sk_c1 != sk_c1
| sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_21 ),
inference(superposition,[],[f1372,f1314]) ).
fof(f1372,plain,
( ! [X0] :
( inverse(X0) != sk_c1
| inverse(X0) != X0 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1371]) ).
fof(f1371,plain,
( ! [X0] :
( inverse(X0) != sk_c1
| sk_c1 != sk_c1
| inverse(X0) != X0 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1370,f1307]) ).
fof(f1370,plain,
( ! [X0] :
( sk_c1 != multiply(sk_c1,sk_c1)
| inverse(X0) != X0
| inverse(X0) != sk_c1 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1369,f1284]) ).
fof(f1369,plain,
( ! [X0] :
( sk_c1 != inverse(multiply(X0,sk_c1))
| sk_c1 != multiply(sk_c1,sk_c1)
| inverse(X0) != X0 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1366,f1284]) ).
fof(f1366,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c1)
| sk_c1 != inverse(multiply(X0,sk_c1))
| sk_c1 != multiply(sk_c1,sk_c1) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1363]) ).
fof(f1363,plain,
( ! [X0] :
( sk_c1 != inverse(multiply(X0,sk_c1))
| sk_c1 != sk_c1
| sk_c1 != multiply(sk_c1,sk_c1)
| inverse(X0) != multiply(X0,sk_c1) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_21 ),
inference(superposition,[],[f1362,f1314]) ).
fof(f1362,plain,
( ! [X7,X5] :
( inverse(X5) != inverse(multiply(X7,inverse(X5)))
| inverse(X7) != multiply(X7,inverse(X5))
| sk_c1 != inverse(X5)
| sk_c1 != multiply(X5,inverse(X5)) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1361,f1273]) ).
fof(f1361,plain,
( ! [X7,X5] :
( inverse(X7) != multiply(X7,inverse(X5))
| sk_c11 != inverse(X5)
| inverse(X5) != inverse(multiply(X7,inverse(X5)))
| sk_c1 != multiply(X5,inverse(X5)) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1360,f1284]) ).
fof(f1360,plain,
( ! [X7,X5] :
( inverse(X7) != multiply(X7,inverse(X5))
| sk_c1 != multiply(X5,inverse(X5))
| inverse(X5) != inverse(multiply(X7,inverse(X5)))
| sk_c11 != multiply(inverse(X5),sk_c1) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1359,f1258]) ).
fof(f1359,plain,
( ! [X7,X5] :
( inverse(X5) != inverse(multiply(X7,inverse(X5)))
| inverse(X7) != multiply(X7,inverse(X5))
| sk_c1 != multiply(X5,inverse(X5))
| sk_c11 != multiply(inverse(X5),sk_c10) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f163,f1273]) ).
fof(f163,plain,
( ! [X7,X5] :
( sk_c11 != multiply(X5,inverse(X5))
| inverse(X7) != multiply(X7,inverse(X5))
| inverse(X5) != inverse(multiply(X7,inverse(X5)))
| sk_c11 != multiply(inverse(X5),sk_c10) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl0_18
<=> ! [X5,X7] :
( inverse(X7) != multiply(X7,inverse(X5))
| sk_c11 != multiply(X5,inverse(X5))
| inverse(X5) != inverse(multiply(X7,inverse(X5)))
| sk_c11 != multiply(inverse(X5),sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1358,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1357]) ).
fof(f1357,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1356]) ).
fof(f1356,plain,
( sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f1355]) ).
fof(f1355,plain,
( sk_c1 != sk_c1
| sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f1333,f1314]) ).
fof(f1333,plain,
( ! [X4] :
( sk_c1 != inverse(X4)
| sk_c1 != X4 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1332,f1290]) ).
fof(f1332,plain,
( ! [X4] :
( sk_c9 != X4
| sk_c1 != inverse(X4) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1331,f1284]) ).
fof(f1331,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c1)
| sk_c1 != inverse(X4) )
| ~ spl0_11
| ~ spl0_14
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1266,f1258]) ).
fof(f1266,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c1) )
| ~ spl0_11
| ~ spl0_14
| ~ spl0_20
| ~ spl0_21 ),
inference(backward_demodulation,[],[f169,f1258]) ).
fof(f169,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl0_20
<=> ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1330,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f1329]) ).
fof(f1329,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21
| spl0_22 ),
inference(trivial_inequality_removal,[],[f1328]) ).
fof(f1328,plain,
( sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21
| spl0_22 ),
inference(forward_demodulation,[],[f1279,f1317]) ).
fof(f1317,plain,
( sk_c1 = sk_c3
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1303,f1307]) ).
fof(f1303,plain,
( sk_c1 = multiply(sk_c1,sk_c3)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21 ),
inference(backward_demodulation,[],[f1285,f1292]) ).
fof(f1285,plain,
( sk_c1 = multiply(sk_c6,sk_c3)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21 ),
inference(backward_demodulation,[],[f1253,f1273]) ).
fof(f1253,plain,
( sk_c11 = multiply(sk_c6,sk_c3)
| ~ spl0_11
| ~ spl0_14 ),
inference(backward_demodulation,[],[f236,f1250]) ).
fof(f236,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f2,f118]) ).
fof(f1279,plain,
( sk_c1 != sk_c3
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21
| spl0_22 ),
inference(backward_demodulation,[],[f1027,f1273]) ).
fof(f1027,plain,
( sk_c11 != sk_c3
| spl0_22 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1025,plain,
( spl0_22
<=> sk_c11 = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1221,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1220]) ).
fof(f1220,plain,
( $false
| spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1219]) ).
fof(f1219,plain,
( sk_c1 != sk_c1
| spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1218,f1188]) ).
fof(f1188,plain,
( sk_c1 = sk_c11
| ~ spl0_4
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1161,f1187]) ).
fof(f1187,plain,
( ! [X4] : multiply(X4,sk_c11) = X4
| ~ spl0_11
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1147,f1154]) ).
fof(f1154,plain,
( sk_c11 = sk_c6
| ~ spl0_11
| ~ spl0_14
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1148,f1150]) ).
fof(f1150,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_14
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1,f1145]) ).
fof(f1145,plain,
( identity = sk_c6
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1144,f2]) ).
fof(f1144,plain,
( sk_c6 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f972,f1026]) ).
fof(f1026,plain,
( sk_c11 = sk_c3
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1148,plain,
( sk_c6 = multiply(sk_c6,sk_c11)
| ~ spl0_11
| ~ spl0_14
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1143,f1145]) ).
fof(f1143,plain,
( identity = multiply(sk_c6,sk_c11)
| ~ spl0_11
| ~ spl0_22 ),
inference(backward_demodulation,[],[f236,f1026]) ).
fof(f1147,plain,
( ! [X4] : multiply(X4,sk_c6) = X4
| ~ spl0_14
| ~ spl0_22 ),
inference(backward_demodulation,[],[f296,f1145]) ).
fof(f1161,plain,
( sk_c11 = multiply(sk_c1,sk_c11)
| ~ spl0_4
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(backward_demodulation,[],[f179,f1155]) ).
fof(f1155,plain,
( sk_c11 = sk_c10
| ~ spl0_4
| ~ spl0_14
| ~ spl0_22 ),
inference(backward_demodulation,[],[f83,f1150]) ).
fof(f1218,plain,
( sk_c1 != sk_c11
| spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1217,f1193]) ).
fof(f1193,plain,
( sk_c1 = sk_c10
| ~ spl0_4
| ~ spl0_11
| ~ spl0_14
| ~ spl0_21
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1155,f1188]) ).
fof(f1217,plain,
( sk_c11 != sk_c10
| spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f69,f1180]) ).
fof(f1180,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_14
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1162,f1170]) ).
fof(f1170,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_11
| ~ spl0_14
| ~ spl0_22 ),
inference(backward_demodulation,[],[f1150,f1154]) ).
fof(f1162,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c7,X0)) = X0
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_22 ),
inference(backward_demodulation,[],[f807,f1155]) ).
fof(f807,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f240,f88]) ).
fof(f88,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl0_5
<=> sk_c10 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f69,plain,
( sk_c11 != multiply(sk_c7,sk_c10)
| spl0_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl0_1
<=> sk_c11 = multiply(sk_c7,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1141,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1140]) ).
fof(f1140,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1137]) ).
fof(f1137,plain,
( sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_21 ),
inference(backward_demodulation,[],[f1113,f1136]) ).
fof(f1136,plain,
( sk_c1 = sk_c8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1128,f1081]) ).
fof(f1081,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_21 ),
inference(backward_demodulation,[],[f831,f1076]) ).
fof(f1076,plain,
( sk_c1 = sk_c11
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1074,f837]) ).
fof(f837,plain,
( ! [X4] : multiply(X4,sk_c11) = X4
| ~ spl0_1
| ~ spl0_5 ),
inference(backward_demodulation,[],[f296,f830]) ).
fof(f830,plain,
( identity = sk_c11
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f828,f2]) ).
fof(f828,plain,
( sk_c11 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f240,f822]) ).
fof(f822,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f820,f88]) ).
fof(f820,plain,
( sk_c10 = multiply(inverse(sk_c7),sk_c11)
| ~ spl0_1 ),
inference(superposition,[],[f240,f70]) ).
fof(f70,plain,
( sk_c11 = multiply(sk_c7,sk_c10)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f1074,plain,
( sk_c11 = multiply(sk_c1,sk_c11)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_21 ),
inference(backward_demodulation,[],[f1061,f1071]) ).
fof(f1071,plain,
( sk_c11 = sk_c9
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1063,f74]) ).
fof(f1063,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_21 ),
inference(backward_demodulation,[],[f103,f1058]) ).
fof(f1058,plain,
( sk_c1 = sk_c10
| ~ spl0_1
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f179,f837]) ).
fof(f1061,plain,
( sk_c11 = multiply(sk_c1,sk_c9)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21 ),
inference(backward_demodulation,[],[f93,f1058]) ).
fof(f831,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_1
| ~ spl0_5 ),
inference(backward_demodulation,[],[f1,f830]) ).
fof(f1128,plain,
( sk_c1 = multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_21 ),
inference(superposition,[],[f1082,f1078]) ).
fof(f1078,plain,
( sk_c1 = inverse(sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_21 ),
inference(backward_demodulation,[],[f113,f1076]) ).
fof(f113,plain,
( sk_c11 = inverse(sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl0_10
<=> sk_c11 = inverse(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1082,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_21 ),
inference(backward_demodulation,[],[f832,f1076]) ).
fof(f832,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c11
| ~ spl0_1
| ~ spl0_5 ),
inference(backward_demodulation,[],[f2,f830]) ).
fof(f1113,plain,
( sk_c1 != sk_c8
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1075,f1076]) ).
fof(f1075,plain,
( sk_c11 != sk_c8
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_21 ),
inference(backward_demodulation,[],[f1055,f1071]) ).
fof(f1055,plain,
( sk_c9 != sk_c8
| ~ spl0_1
| spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f78,f837]) ).
fof(f78,plain,
( sk_c9 != multiply(sk_c8,sk_c11)
| spl0_3 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl0_3
<=> sk_c9 = multiply(sk_c8,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1053,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1052]) ).
fof(f1052,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f1051]) ).
fof(f1051,plain,
( sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f1048]) ).
fof(f1048,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_20 ),
inference(superposition,[],[f1047,f922]) ).
fof(f922,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(backward_demodulation,[],[f897,f918]) ).
fof(f918,plain,
( sk_c11 = sk_c9
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f917,f831]) ).
fof(f917,plain,
( sk_c11 = multiply(sk_c11,sk_c9)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f93,f902]) ).
fof(f902,plain,
( sk_c11 = sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(backward_demodulation,[],[f70,f901]) ).
fof(f901,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(backward_demodulation,[],[f807,f900]) ).
fof(f900,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(backward_demodulation,[],[f810,f899]) ).
fof(f899,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f896,f831]) ).
fof(f896,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c9,X0)) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f811,f894]) ).
fof(f894,plain,
( sk_c9 = sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(backward_demodulation,[],[f79,f837]) ).
fof(f79,plain,
( sk_c9 = multiply(sk_c8,sk_c11)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f811,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c8,X0)) = X0
| ~ spl0_10 ),
inference(superposition,[],[f240,f113]) ).
fof(f810,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = X0
| ~ spl0_8 ),
inference(superposition,[],[f240,f103]) ).
fof(f897,plain,
( sk_c11 = inverse(sk_c9)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f113,f894]) ).
fof(f1047,plain,
( ! [X4] :
( sk_c11 != inverse(X4)
| sk_c11 != X4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1046,f918]) ).
fof(f1046,plain,
( ! [X4] :
( sk_c9 != X4
| sk_c11 != inverse(X4) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1045,f902]) ).
fof(f1045,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != X4 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1044,f837]) ).
fof(f1044,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c11)
| sk_c10 != inverse(X4) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[],[f169,f902]) ).
fof(f1043,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1042]) ).
fof(f1042,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1041]) ).
fof(f1041,plain,
( sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f1038]) ).
fof(f1038,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f1035,f922]) ).
fof(f1035,plain,
( ! [X0] :
( inverse(X0) != sk_c11
| inverse(X0) != X0 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1034,f837]) ).
fof(f1034,plain,
( ! [X0] :
( inverse(X0) != X0
| sk_c11 != inverse(multiply(X0,sk_c11)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1033]) ).
fof(f1033,plain,
( ! [X0] :
( inverse(X0) != X0
| sk_c11 != sk_c11
| sk_c11 != inverse(multiply(X0,sk_c11)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1032,f831]) ).
fof(f1032,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != X0 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1017,f837]) ).
fof(f1017,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(multiply(X0,sk_c11))
| sk_c11 != multiply(sk_c11,sk_c11) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1011]) ).
fof(f1011,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != sk_c11
| sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f991,f922]) ).
fof(f991,plain,
( ! [X7,X5] :
( inverse(X5) != inverse(multiply(X7,inverse(X5)))
| sk_c11 != inverse(X5)
| sk_c11 != multiply(X5,inverse(X5))
| inverse(X7) != multiply(X7,inverse(X5)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f990,f837]) ).
fof(f990,plain,
( ! [X7,X5] :
( sk_c11 != multiply(X5,inverse(X5))
| inverse(X5) != inverse(multiply(X7,inverse(X5)))
| inverse(X7) != multiply(X7,inverse(X5))
| sk_c11 != multiply(inverse(X5),sk_c11) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f163,f902]) ).
fof(f989,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f988]) ).
fof(f988,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f987]) ).
fof(f987,plain,
( sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f984]) ).
fof(f984,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_19 ),
inference(superposition,[],[f983,f922]) ).
fof(f983,plain,
( ! [X10] :
( sk_c11 != inverse(X10)
| sk_c11 != X10 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[],[f982,f918]) ).
fof(f982,plain,
( ! [X10] :
( sk_c9 != X10
| sk_c11 != inverse(X10) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[],[f166,f837]) ).
fof(f981,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f980]) ).
fof(f980,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f979]) ).
fof(f979,plain,
( sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f976]) ).
fof(f976,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_16 ),
inference(superposition,[],[f954,f922]) ).
fof(f954,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != X3 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f953,f902]) ).
fof(f953,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c10 != X3 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[],[f157,f837]) ).
fof(f157,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl0_16
<=> ! [X3] :
( sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f952,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f951]) ).
fof(f951,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f950]) ).
fof(f950,plain,
( sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f946]) ).
fof(f946,plain,
( sk_c11 != sk_c11
| sk_c11 != sk_c11
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f911,f922]) ).
fof(f911,plain,
( ! [X9] :
( sk_c11 != inverse(X9)
| sk_c11 != X9 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f910,f837]) ).
fof(f910,plain,
( ! [X9] :
( sk_c11 != multiply(X9,sk_c11)
| sk_c11 != inverse(X9) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f907,f902]) ).
fof(f907,plain,
( ! [X9] :
( sk_c10 != inverse(X9)
| sk_c11 != multiply(X9,sk_c11) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(backward_demodulation,[],[f160,f902]) ).
fof(f160,plain,
( ! [X9] :
( sk_c10 != inverse(X9)
| sk_c11 != multiply(X9,sk_c10) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl0_17
<=> ! [X9] :
( sk_c11 != multiply(X9,sk_c10)
| sk_c10 != inverse(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f456,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f455,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f454]) ).
fof(f454,plain,
( sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f453]) ).
fof(f453,plain,
( sk_c1 != sk_c1
| sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_21 ),
inference(superposition,[],[f452,f356]) ).
fof(f356,plain,
( sk_c1 = inverse(sk_c1)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f297,f354]) ).
fof(f354,plain,
( sk_c1 = sk_c11
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f353,f297]) ).
fof(f353,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f344,f351]) ).
fof(f351,plain,
( sk_c11 = sk_c3
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f350,f317]) ).
fof(f317,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f1,f316]) ).
fof(f316,plain,
( identity = sk_c11
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f314,f83]) ).
fof(f314,plain,
( identity = multiply(sk_c6,sk_c10)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f238,f310]) ).
fof(f310,plain,
( sk_c10 = sk_c4
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f309,f302]) ).
fof(f309,plain,
( sk_c10 = multiply(sk_c6,sk_c6)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f308,f289]) ).
fof(f289,plain,
( sk_c6 = multiply(sk_c6,sk_c11)
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f269,f118]) ).
fof(f269,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c11)
| ~ spl0_14 ),
inference(superposition,[],[f240,f136]) ).
fof(f308,plain,
( sk_c10 = multiply(sk_c6,multiply(sk_c6,sk_c11))
| ~ spl0_4
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f307,f303]) ).
fof(f303,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c4,X0)
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15 ),
inference(backward_demodulation,[],[f212,f300]) ).
fof(f307,plain,
( sk_c10 = multiply(sk_c4,sk_c11)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15 ),
inference(backward_demodulation,[],[f272,f301]) ).
fof(f301,plain,
( sk_c4 = inverse(sk_c6)
| ~ spl0_9
| ~ spl0_12
| ~ spl0_15 ),
inference(backward_demodulation,[],[f108,f300]) ).
fof(f272,plain,
( sk_c10 = multiply(inverse(sk_c6),sk_c11)
| ~ spl0_4 ),
inference(superposition,[],[f240,f83]) ).
fof(f350,plain,
( sk_c11 = multiply(sk_c11,sk_c3)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f320,f343]) ).
fof(f343,plain,
( sk_c11 = sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f337,f289]) ).
fof(f337,plain,
( sk_c11 = multiply(sk_c6,sk_c11)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f83,f336]) ).
fof(f336,plain,
( sk_c11 = sk_c10
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f179,f331]) ).
fof(f331,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f253,f317]) ).
fof(f253,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f252,f1]) ).
fof(f252,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c1,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f234]) ).
fof(f234,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f2,f74]) ).
fof(f320,plain,
( sk_c11 = multiply(sk_c6,sk_c3)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f236,f316]) ).
fof(f344,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f118,f343]) ).
fof(f297,plain,
( sk_c1 = inverse(sk_c11)
| ~ spl0_2 ),
inference(backward_demodulation,[],[f266,f296]) ).
fof(f266,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl0_2 ),
inference(superposition,[],[f240,f234]) ).
fof(f452,plain,
( ! [X9] :
( sk_c1 != inverse(X9)
| sk_c1 != X9 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f451,f354]) ).
fof(f451,plain,
( ! [X9] :
( sk_c11 != X9
| sk_c1 != inverse(X9) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f450,f408]) ).
fof(f408,plain,
( ! [X4] : multiply(X4,sk_c1) = X4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f323,f354]) ).
fof(f323,plain,
( ! [X4] : multiply(X4,sk_c11) = X4
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[],[f296,f316]) ).
fof(f450,plain,
( ! [X9] :
( sk_c1 != inverse(X9)
| sk_c11 != multiply(X9,sk_c1) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f449,f360]) ).
fof(f360,plain,
( sk_c1 = sk_c10
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f336,f354]) ).
fof(f449,plain,
( ! [X9] :
( sk_c10 != inverse(X9)
| sk_c11 != multiply(X9,sk_c1) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f160,f360]) ).
fof(f447,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f446]) ).
fof(f446,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f445]) ).
fof(f445,plain,
( sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f442]) ).
fof(f442,plain,
( sk_c1 != sk_c1
| sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(superposition,[],[f434,f356]) ).
fof(f434,plain,
( ! [X3] :
( sk_c1 != inverse(X3)
| sk_c1 != X3 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f433,f360]) ).
fof(f433,plain,
( ! [X3] :
( sk_c10 != X3
| sk_c1 != inverse(X3) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f432,f408]) ).
fof(f432,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c1)
| sk_c1 != inverse(X3) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f431,f354]) ).
fof(f431,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c11)
| sk_c1 != inverse(X3) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f157,f354]) ).
fof(f428,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f427]) ).
fof(f427,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f426]) ).
fof(f426,plain,
( sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f425,f354]) ).
fof(f425,plain,
( sk_c1 != sk_c11
| ~ spl0_2
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f424,f360]) ).
fof(f424,plain,
( sk_c11 != sk_c10
| ~ spl0_2
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f423,f408]) ).
fof(f423,plain,
( sk_c11 != multiply(sk_c10,sk_c1)
| ~ spl0_2
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f92,f384]) ).
fof(f384,plain,
( sk_c1 = sk_c9
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f383,f360]) ).
fof(f383,plain,
( sk_c10 = sk_c9
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f334,f331]) ).
fof(f334,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f281,f317]) ).
fof(f281,plain,
( sk_c10 = multiply(sk_c1,multiply(sk_c11,sk_c9))
| ~ spl0_7
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f280,f220]) ).
fof(f220,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c11,X0))
| ~ spl0_21 ),
inference(superposition,[],[f3,f179]) ).
fof(f280,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f268,f131]) ).
fof(f131,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl0_13
<=> sk_c10 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f268,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c9)
| ~ spl0_7 ),
inference(superposition,[],[f240,f98]) ).
fof(f98,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl0_7
<=> sk_c9 = multiply(sk_c2,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f92,plain,
( sk_c11 != multiply(sk_c10,sk_c9)
| spl0_6 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f388,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f387,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f385]) ).
fof(f385,plain,
( sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_7
| spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f379,f384]) ).
fof(f379,plain,
( sk_c1 != sk_c9
| ~ spl0_2
| ~ spl0_4
| spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f378,f356]) ).
fof(f378,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_4
| spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f339,f354]) ).
fof(f339,plain,
( sk_c9 != inverse(sk_c11)
| ~ spl0_2
| ~ spl0_4
| spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f102,f336]) ).
fof(f102,plain,
( sk_c9 != inverse(sk_c10)
| spl0_8 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f206,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f52,f91,f146]) ).
fof(f52,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f205,plain,
( spl0_14
| spl0_3 ),
inference(avatar_split_clause,[],[f32,f77,f134]) ).
fof(f32,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| sk_c11 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f204,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f58,f123,f91]) ).
fof(f58,axiom,
( sk_c4 = multiply(sk_c5,sk_c6)
| sk_c11 = multiply(sk_c10,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
fof(f202,plain,
( spl0_8
| spl0_21 ),
inference(avatar_split_clause,[],[f5,f177,f101]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c9 = inverse(sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f201,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f29,f101,f134]) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c10)
| sk_c11 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f200,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f38,f116,f77]) ).
fof(f38,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c9 = multiply(sk_c8,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f199,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f57,f146,f111]) ).
fof(f57,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c11 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).
fof(f198,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f51,f111,f106]) ).
fof(f51,axiom,
( sk_c11 = inverse(sk_c8)
| inverse(sk_c5) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f197,plain,
( spl0_15
| spl0_3 ),
inference(avatar_split_clause,[],[f56,f77,f146]) ).
fof(f56,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_53) ).
fof(f195,plain,
( spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f37,f116,f86]) ).
fof(f37,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f194,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f23,f129,f101]) ).
fof(f23,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c9 = inverse(sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f193,plain,
( spl0_21
| spl0_1 ),
inference(avatar_split_clause,[],[f6,f68,f177]) ).
fof(f6,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f192,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f33,f134,f111]) ).
fof(f33,axiom,
( sk_c11 = multiply(sk_c3,sk_c6)
| sk_c11 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f191,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f63,f123,f111]) ).
fof(f63,axiom,
( sk_c4 = multiply(sk_c5,sk_c6)
| sk_c11 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_60) ).
fof(f190,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f17,f101,f96]) ).
fof(f17,axiom,
( sk_c9 = inverse(sk_c10)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f189,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f31,f134,f86]) ).
fof(f31,axiom,
( sk_c11 = multiply(sk_c3,sk_c6)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f188,plain,
( spl0_21
| spl0_3 ),
inference(avatar_split_clause,[],[f8,f77,f177]) ).
fof(f8,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f185,plain,
( spl0_6
| spl0_14 ),
inference(avatar_split_clause,[],[f28,f134,f91]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c3,sk_c6)
| sk_c11 = multiply(sk_c10,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f184,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f72,f77]) ).
fof(f14,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c9 = multiply(sk_c8,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f183,plain,
( spl0_21
| spl0_10 ),
inference(avatar_split_clause,[],[f9,f111,f177]) ).
fof(f9,axiom,
( sk_c11 = inverse(sk_c8)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f182,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f53,f146,f101]) ).
fof(f53,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c9 = inverse(sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f181,plain,
( spl0_21
| spl0_6 ),
inference(avatar_split_clause,[],[f4,f91,f177]) ).
fof(f4,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f180,plain,
( spl0_5
| spl0_21 ),
inference(avatar_split_clause,[],[f7,f177,f86]) ).
fof(f7,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f174,plain,
( spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f91,f72]) ).
fof(f10,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f173,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f91,f96]) ).
fof(f16,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f172,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f59,f101,f123]) ).
fof(f59,axiom,
( sk_c9 = inverse(sk_c10)
| sk_c4 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).
fof(f171,plain,
( spl0_5
| spl0_15 ),
inference(avatar_split_clause,[],[f55,f146,f86]) ).
fof(f55,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
fof(f170,plain,
( spl0_16
| ~ spl0_6
| ~ spl0_8
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f66,f168,f165,f162,f159,f101,f91,f156]) ).
fof(f66,plain,
! [X3,X10,X9,X7,X4,X5] :
( sk_c10 != inverse(X4)
| sk_c11 != inverse(X10)
| sk_c9 != multiply(X10,sk_c11)
| inverse(X7) != multiply(X7,inverse(X5))
| sk_c11 != multiply(inverse(X5),sk_c10)
| inverse(X5) != inverse(multiply(X7,inverse(X5)))
| sk_c11 != multiply(X9,sk_c10)
| sk_c9 != inverse(sk_c10)
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c10 != inverse(X9)
| sk_c9 != multiply(X4,sk_c10)
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3)
| sk_c11 != multiply(X5,inverse(X5)) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X3,X10,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X3)
| inverse(X5) != X6
| sk_c9 != multiply(X4,sk_c10)
| inverse(multiply(X7,X6)) != X6
| sk_c11 != multiply(X5,X6)
| sk_c9 != inverse(sk_c10)
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != multiply(X9,sk_c10)
| inverse(X7) != multiply(X7,X6)
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c10 != inverse(X9)
| sk_c11 != inverse(X10)
| sk_c11 != multiply(X6,sk_c10)
| sk_c9 != multiply(X10,sk_c11)
| sk_c10 != inverse(X4) ),
inference(equality_resolution,[],[f64]) ).
fof(f64,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( multiply(X7,X6) != X8
| sk_c11 != inverse(X3)
| inverse(X5) != X6
| sk_c9 != multiply(X4,sk_c10)
| inverse(X8) != X6
| sk_c11 != multiply(X5,X6)
| sk_c9 != inverse(sk_c10)
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != multiply(X9,sk_c10)
| inverse(X7) != X8
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c10 != inverse(X9)
| sk_c11 != inverse(X10)
| sk_c11 != multiply(X6,sk_c10)
| sk_c9 != multiply(X10,sk_c11)
| sk_c10 != inverse(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_61) ).
fof(f154,plain,
( spl0_5
| spl0_9 ),
inference(avatar_split_clause,[],[f49,f106,f86]) ).
fof(f49,axiom,
( inverse(sk_c5) = sk_c4
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f153,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f45,f111,f81]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c8)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f152,plain,
( spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f11,f101,f72]) ).
fof(f11,axiom,
( sk_c9 = inverse(sk_c10)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f151,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f34,f91,f116]) ).
fof(f34,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f150,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f22,f91,f129]) ).
fof(f22,axiom,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f149,plain,
( spl0_15
| spl0_1 ),
inference(avatar_split_clause,[],[f54,f68,f146]) ).
fof(f54,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f144,plain,
( spl0_12
| spl0_1 ),
inference(avatar_split_clause,[],[f60,f68,f123]) ).
fof(f60,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c4 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_57) ).
fof(f143,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f39,f116,f111]) ).
fof(f39,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c11 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f141,plain,
( spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f46,f106,f91]) ).
fof(f46,axiom,
( inverse(sk_c5) = sk_c4
| sk_c11 = multiply(sk_c10,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f140,plain,
( spl0_11
| spl0_1 ),
inference(avatar_split_clause,[],[f36,f68,f116]) ).
fof(f36,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f139,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f61,f86,f123]) ).
fof(f61,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c4 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_58) ).
fof(f138,plain,
( spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f13,f72,f86]) ).
fof(f13,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f137,plain,
( spl0_1
| spl0_14 ),
inference(avatar_split_clause,[],[f30,f134,f68]) ).
fof(f30,axiom,
( sk_c11 = multiply(sk_c3,sk_c6)
| sk_c11 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f127,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f50,f77,f106]) ).
fof(f50,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| inverse(sk_c5) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f126,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f62,f77,f123]) ).
fof(f62,axiom,
( sk_c9 = multiply(sk_c8,sk_c11)
| sk_c4 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_59) ).
fof(f121,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f47,f101,f106]) ).
fof(f47,axiom,
( sk_c9 = inverse(sk_c10)
| inverse(sk_c5) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f120,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f42,f68,f81]) ).
fof(f42,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f119,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f35,f101,f116]) ).
fof(f35,axiom,
( sk_c9 = inverse(sk_c10)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f114,plain,
( spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f15,f111,f72]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c8)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f109,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f48,f106,f68]) ).
fof(f48,axiom,
( inverse(sk_c5) = sk_c4
| sk_c11 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f104,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f41,f101,f81]) ).
fof(f41,axiom,
( sk_c9 = inverse(sk_c10)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f94,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f40,f81,f91]) ).
fof(f40,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| sk_c11 = multiply(sk_c10,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f89,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f43,f81,f86]) ).
fof(f43,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f84,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f44,f81,f77]) ).
fof(f44,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| sk_c9 = multiply(sk_c8,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f75,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f12,f72,f68]) ).
fof(f12,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP242-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:36:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (7410)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 % (7418)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.49 % (7410)Instruction limit reached!
% 0.20/0.49 % (7410)------------------------------
% 0.20/0.49 % (7410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (7410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (7410)Termination reason: Unknown
% 0.20/0.49 % (7410)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (7410)Memory used [KB]: 5628
% 0.20/0.49 % (7410)Time elapsed: 0.077 s
% 0.20/0.49 % (7410)Instructions burned: 8 (million)
% 0.20/0.49 % (7410)------------------------------
% 0.20/0.49 % (7410)------------------------------
% 0.20/0.53 % (7405)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (7406)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (7417)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (7411)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (7431)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (7411)Instruction limit reached!
% 0.20/0.53 % (7411)------------------------------
% 0.20/0.53 % (7411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (7411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (7411)Termination reason: Unknown
% 0.20/0.53 % (7411)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (7411)Memory used [KB]: 5500
% 0.20/0.53 % (7411)Time elapsed: 0.003 s
% 0.20/0.53 % (7411)Instructions burned: 3 (million)
% 0.20/0.53 % (7411)------------------------------
% 0.20/0.53 % (7411)------------------------------
% 0.20/0.53 % (7408)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54 % (7407)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (7403)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.54 % (7409)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (7412)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)
% 0.20/0.54 % (7421)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (7424)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (7425)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)
% 0.20/0.54 % (7423)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55 % (7422)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (7426)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.55 % (7413)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (7420)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 % (7416)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (7414)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (7415)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (7404)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (7432)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.56 % (7427)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56 % (7429)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.56 % (7430)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)
% 0.20/0.56 % (7428)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 TRYING [2]
% 0.20/0.56 TRYING [1]
% 0.20/0.57 TRYING [2]
% 0.20/0.57 % (7419)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.57 TRYING [3]
% 0.20/0.58 TRYING [1]
% 0.20/0.58 TRYING [2]
% 0.20/0.58 TRYING [3]
% 0.20/0.58 % (7405)Instruction limit reached!
% 0.20/0.58 % (7405)------------------------------
% 0.20/0.58 % (7405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (7405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (7405)Termination reason: Unknown
% 0.20/0.58 % (7405)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (7405)Memory used [KB]: 1279
% 0.20/0.58 % (7405)Time elapsed: 0.160 s
% 0.20/0.58 % (7405)Instructions burned: 38 (million)
% 0.20/0.58 % (7405)------------------------------
% 0.20/0.58 % (7405)------------------------------
% 0.20/0.59 % (7418)Instruction limit reached!
% 0.20/0.59 % (7418)------------------------------
% 0.20/0.59 % (7418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (7418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (7418)Termination reason: Unknown
% 0.20/0.59 % (7418)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (7418)Memory used [KB]: 1791
% 0.20/0.59 % (7418)Time elapsed: 0.166 s
% 0.20/0.59 % (7418)Instructions burned: 75 (million)
% 0.20/0.59 % (7418)------------------------------
% 0.20/0.59 % (7418)------------------------------
% 0.20/0.60 TRYING [3]
% 1.93/0.61 TRYING [4]
% 1.93/0.61 % (7409)Instruction limit reached!
% 1.93/0.61 % (7409)------------------------------
% 1.93/0.61 % (7409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61 % (7409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61 % (7409)Termination reason: Unknown
% 1.93/0.61 % (7409)Termination phase: Finite model building constraint generation
% 1.93/0.61
% 1.93/0.61 % (7409)Memory used [KB]: 6908
% 1.93/0.61 % (7409)Time elapsed: 0.178 s
% 1.93/0.61 % (7409)Instructions burned: 54 (million)
% 1.93/0.61 % (7409)------------------------------
% 1.93/0.61 % (7409)------------------------------
% 1.93/0.61 % (7406)Instruction limit reached!
% 1.93/0.61 % (7406)------------------------------
% 1.93/0.61 % (7406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61 % (7406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61 % (7406)Termination reason: Unknown
% 1.93/0.61 % (7406)Termination phase: Saturation
% 1.93/0.61
% 1.93/0.61 % (7406)Memory used [KB]: 6652
% 1.93/0.61 % (7406)Time elapsed: 0.209 s
% 1.93/0.61 % (7406)Instructions burned: 52 (million)
% 1.93/0.61 % (7406)------------------------------
% 1.93/0.61 % (7406)------------------------------
% 1.93/0.61 TRYING [4]
% 1.93/0.62 TRYING [4]
% 1.93/0.62 % (7433)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.93/0.62 % (7407)Instruction limit reached!
% 1.93/0.62 % (7407)------------------------------
% 1.93/0.62 % (7407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.62 % (7407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.62 % (7407)Termination reason: Unknown
% 1.93/0.62 % (7407)Termination phase: Saturation
% 1.93/0.62
% 1.93/0.62 % (7407)Memory used [KB]: 6524
% 1.93/0.62 % (7407)Time elapsed: 0.216 s
% 1.93/0.62 % (7407)Instructions burned: 53 (million)
% 1.93/0.62 % (7407)------------------------------
% 1.93/0.62 % (7407)------------------------------
% 1.93/0.62 % (7412)Instruction limit reached!
% 1.93/0.62 % (7412)------------------------------
% 1.93/0.62 % (7412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.62 % (7412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.62 % (7412)Termination reason: Unknown
% 1.93/0.62 % (7412)Termination phase: Saturation
% 1.93/0.62
% 1.93/0.62 % (7412)Memory used [KB]: 1407
% 1.93/0.62 % (7412)Time elapsed: 0.198 s
% 1.93/0.62 % (7412)Instructions burned: 51 (million)
% 1.93/0.62 % (7412)------------------------------
% 1.93/0.62 % (7412)------------------------------
% 1.93/0.63 % (7404)Instruction limit reached!
% 1.93/0.63 % (7404)------------------------------
% 1.93/0.63 % (7404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.63 % (7404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.63 % (7404)Termination reason: Unknown
% 1.93/0.63 % (7404)Termination phase: Saturation
% 1.93/0.63
% 1.93/0.63 % (7404)Memory used [KB]: 6396
% 1.93/0.63 % (7404)Time elapsed: 0.215 s
% 1.93/0.63 % (7404)Instructions burned: 51 (million)
% 1.93/0.63 % (7404)------------------------------
% 1.93/0.63 % (7404)------------------------------
% 1.93/0.63 % (7408)Instruction limit reached!
% 1.93/0.63 % (7408)------------------------------
% 1.93/0.63 % (7408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.63 % (7408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.63 % (7408)Termination reason: Unknown
% 1.93/0.63 % (7408)Termination phase: Saturation
% 1.93/0.63
% 1.93/0.63 % (7408)Memory used [KB]: 6268
% 1.93/0.63 % (7408)Time elapsed: 0.215 s
% 1.93/0.63 % (7408)Instructions burned: 48 (million)
% 1.93/0.63 % (7408)------------------------------
% 1.93/0.63 % (7408)------------------------------
% 1.93/0.63 % (7420)Instruction limit reached!
% 1.93/0.63 % (7420)------------------------------
% 1.93/0.63 % (7420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.63 % (7420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.63 % (7420)Termination reason: Unknown
% 1.93/0.63 % (7420)Termination phase: Finite model building constraint generation
% 1.93/0.63
% 1.93/0.63 % (7420)Memory used [KB]: 7036
% 1.93/0.63 % (7420)Time elapsed: 0.210 s
% 1.93/0.63 % (7420)Instructions burned: 59 (million)
% 1.93/0.63 % (7420)------------------------------
% 1.93/0.63 % (7420)------------------------------
% 1.93/0.64 % (7432)First to succeed.
% 2.20/0.64 % (7432)Refutation found. Thanks to Tanya!
% 2.20/0.64 % SZS status Unsatisfiable for theBenchmark
% 2.20/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 2.20/0.64 % (7432)------------------------------
% 2.20/0.64 % (7432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.64 % (7432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.64 % (7432)Termination reason: Refutation
% 2.20/0.64
% 2.20/0.64 % (7432)Memory used [KB]: 6012
% 2.20/0.64 % (7432)Time elapsed: 0.217 s
% 2.20/0.64 % (7432)Instructions burned: 42 (million)
% 2.20/0.64 % (7432)------------------------------
% 2.20/0.64 % (7432)------------------------------
% 2.20/0.64 % (7402)Success in time 0.28 s
%------------------------------------------------------------------------------