TSTP Solution File: GRP258-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP258-1 : 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_uns --cores 0 -t %d %s
% Computer : n014.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 16:15:04 EDT 2022
% Result : Unsatisfiable 1.82s 0.63s
% Output : Refutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 99
% Syntax : Number of formulae : 455 ( 36 unt; 0 def)
% Number of atoms : 1826 ( 621 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 2626 (1255 ~;1347 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 25 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 29 con; 0-2 aty)
% Number of variables : 127 ( 127 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1363,plain,
$false,
inference(avatar_sat_refutation,[],[f173,f182,f191,f200,f201,f216,f221,f231,f236,f237,f238,f240,f242,f248,f249,f250,f251,f252,f253,f254,f256,f257,f263,f264,f265,f266,f267,f269,f270,f272,f273,f286,f287,f288,f289,f291,f292,f293,f294,f295,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f309,f310,f312,f314,f315,f507,f602,f621,f758,f778,f857,f975,f978,f1041,f1090,f1104,f1217,f1235,f1273,f1343,f1357]) ).
fof(f1357,plain,
( spl17_22
| ~ spl17_24
| ~ spl17_28
| ~ spl17_31 ),
inference(avatar_contradiction_clause,[],[f1356]) ).
fof(f1356,plain,
( $false
| spl17_22
| ~ spl17_24
| ~ spl17_28
| ~ spl17_31 ),
inference(subsumption_resolution,[],[f1355,f1118]) ).
fof(f1118,plain,
( identity = inverse(identity)
| ~ spl17_24
| ~ spl17_28 ),
inference(forward_demodulation,[],[f582,f635]) ).
fof(f635,plain,
( identity = sk_c2
| ~ spl17_28 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f634,plain,
( spl17_28
<=> identity = sk_c2 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_28])]) ).
fof(f582,plain,
( identity = inverse(sk_c2)
| ~ spl17_24 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f581,plain,
( spl17_24
<=> identity = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_24])]) ).
fof(f1355,plain,
( identity != inverse(identity)
| spl17_22
| ~ spl17_31 ),
inference(forward_demodulation,[],[f574,f655]) ).
fof(f655,plain,
( identity = sk_c1
| ~ spl17_31 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f654,plain,
( spl17_31
<=> identity = sk_c1 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_31])]) ).
fof(f574,plain,
( identity != inverse(sk_c1)
| spl17_22 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f572,plain,
( spl17_22
<=> identity = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_22])]) ).
fof(f1343,plain,
( ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_21
| ~ spl17_22
| ~ spl17_31 ),
inference(avatar_contradiction_clause,[],[f1342]) ).
fof(f1342,plain,
( $false
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_21
| ~ spl17_22
| ~ spl17_31 ),
inference(subsumption_resolution,[],[f1341,f1051]) ).
fof(f1051,plain,
( identity = inverse(identity)
| ~ spl17_22
| ~ spl17_31 ),
inference(forward_demodulation,[],[f573,f655]) ).
fof(f573,plain,
( identity = inverse(sk_c1)
| ~ spl17_22 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f1341,plain,
( identity != inverse(identity)
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_21
| ~ spl17_22
| ~ spl17_31 ),
inference(forward_demodulation,[],[f1337,f1051]) ).
fof(f1337,plain,
( identity != inverse(inverse(identity))
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_21
| ~ spl17_31 ),
inference(trivial_inequality_removal,[],[f1334]) ).
fof(f1334,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_21
| ~ spl17_31 ),
inference(superposition,[],[f1278,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1278,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_21
| ~ spl17_31 ),
inference(forward_demodulation,[],[f1277,f1068]) ).
fof(f1068,plain,
( identity = sk_c10
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_31 ),
inference(backward_demodulation,[],[f883,f1059]) ).
fof(f1059,plain,
( identity = sk_c11
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_31 ),
inference(forward_demodulation,[],[f924,f1058]) ).
fof(f1058,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_31 ),
inference(forward_demodulation,[],[f996,f1057]) ).
fof(f1057,plain,
( ! [X13] : multiply(sk_c2,X13) = X13
| ~ spl17_1
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_31 ),
inference(forward_demodulation,[],[f1056,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f1056,plain,
( ! [X13] : multiply(sk_c2,multiply(identity,X13)) = multiply(identity,X13)
| ~ spl17_1
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_31 ),
inference(forward_demodulation,[],[f928,f655]) ).
fof(f928,plain,
( ! [X13] : multiply(sk_c2,multiply(sk_c1,X13)) = multiply(sk_c1,X13)
| ~ spl17_1
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13 ),
inference(backward_demodulation,[],[f896,f927]) ).
fof(f927,plain,
( ! [X10] : multiply(sk_c11,X10) = multiply(sk_c1,X10)
| ~ spl17_1
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12 ),
inference(forward_demodulation,[],[f922,f1]) ).
fof(f922,plain,
( ! [X10] : multiply(sk_c1,multiply(identity,X10)) = multiply(sk_c11,X10)
| ~ spl17_1
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12 ),
inference(backward_demodulation,[],[f870,f904]) ).
fof(f904,plain,
( identity = sk_c12
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12 ),
inference(forward_demodulation,[],[f893,f2]) ).
fof(f893,plain,
( sk_c12 = multiply(inverse(sk_c11),sk_c11)
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12 ),
inference(backward_demodulation,[],[f867,f883]) ).
fof(f867,plain,
( sk_c12 = multiply(inverse(sk_c10),sk_c11)
| ~ spl17_5 ),
inference(backward_demodulation,[],[f378,f186]) ).
fof(f186,plain,
( sk_c11 = sF3
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl17_5
<=> sk_c11 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f378,plain,
sk_c12 = multiply(inverse(sk_c10),sF3),
inference(superposition,[],[f349,f81]) ).
fof(f81,plain,
multiply(sk_c10,sk_c12) = sF3,
introduced(function_definition,[]) ).
fof(f349,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f335,f1]) ).
fof(f335,plain,
! [X2,X3] : multiply(identity,X3) = multiply(inverse(X2),multiply(X2,X3)),
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(f870,plain,
( ! [X10] : multiply(sk_c11,X10) = multiply(sk_c1,multiply(sk_c12,X10))
| ~ spl17_1 ),
inference(backward_demodulation,[],[f339,f168]) ).
fof(f168,plain,
( sk_c11 = sF12
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl17_1
<=> sk_c11 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f339,plain,
! [X10] : multiply(sF12,X10) = multiply(sk_c1,multiply(sk_c12,X10)),
inference(superposition,[],[f3,f101]) ).
fof(f101,plain,
multiply(sk_c1,sk_c12) = sF12,
introduced(function_definition,[]) ).
fof(f896,plain,
( ! [X13] : multiply(sk_c2,multiply(sk_c11,X13)) = multiply(sk_c11,X13)
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13 ),
inference(backward_demodulation,[],[f873,f883]) ).
fof(f873,plain,
( ! [X13] : multiply(sk_c2,multiply(sk_c11,X13)) = multiply(sk_c10,X13)
| ~ spl17_13 ),
inference(backward_demodulation,[],[f342,f226]) ).
fof(f226,plain,
( sk_c10 = sF4
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f224,plain,
( spl17_13
<=> sk_c10 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).
fof(f342,plain,
! [X13] : multiply(sF4,X13) = multiply(sk_c2,multiply(sk_c11,X13)),
inference(superposition,[],[f3,f83]) ).
fof(f83,plain,
multiply(sk_c2,sk_c11) = sF4,
introduced(function_definition,[]) ).
fof(f996,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c2,X0)) = X0
| ~ spl17_3 ),
inference(backward_demodulation,[],[f361,f177]) ).
fof(f177,plain,
( sk_c11 = sF9
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl17_3
<=> sk_c11 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f361,plain,
! [X0] : multiply(sF9,multiply(sk_c2,X0)) = X0,
inference(forward_demodulation,[],[f360,f1]) ).
fof(f360,plain,
! [X0] : multiply(identity,X0) = multiply(sF9,multiply(sk_c2,X0)),
inference(superposition,[],[f3,f332]) ).
fof(f332,plain,
identity = multiply(sF9,sk_c2),
inference(superposition,[],[f2,f93]) ).
fof(f93,plain,
inverse(sk_c2) = sF9,
introduced(function_definition,[]) ).
fof(f924,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12 ),
inference(backward_demodulation,[],[f891,f904]) ).
fof(f891,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12 ),
inference(backward_demodulation,[],[f865,f883]) ).
fof(f865,plain,
( sk_c11 = multiply(sk_c10,sk_c12)
| ~ spl17_5 ),
inference(backward_demodulation,[],[f81,f186]) ).
fof(f883,plain,
( sk_c11 = sk_c10
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12 ),
inference(forward_demodulation,[],[f881,f865]) ).
fof(f881,plain,
( sk_c10 = multiply(sk_c10,sk_c12)
| ~ spl17_9
| ~ spl17_12 ),
inference(backward_demodulation,[],[f816,f220]) ).
fof(f220,plain,
( sk_c12 = sF5
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f218,plain,
( spl17_12
<=> sk_c12 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
fof(f816,plain,
( sk_c10 = multiply(sk_c10,sF5)
| ~ spl17_9 ),
inference(forward_demodulation,[],[f415,f205]) ).
fof(f205,plain,
( sk_c10 = sF16
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl17_9
<=> sk_c10 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
fof(f415,plain,
sk_c10 = multiply(sF16,sF5),
inference(forward_demodulation,[],[f385,f120]) ).
fof(f120,plain,
inverse(sk_c3) = sF16,
introduced(function_definition,[]) ).
fof(f385,plain,
sk_c10 = multiply(inverse(sk_c3),sF5),
inference(superposition,[],[f349,f85]) ).
fof(f85,plain,
multiply(sk_c3,sk_c10) = sF5,
introduced(function_definition,[]) ).
fof(f1277,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c10 != multiply(X4,identity) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_21
| ~ spl17_31 ),
inference(forward_demodulation,[],[f1276,f1059]) ).
fof(f1276,plain,
( ! [X4] :
( sk_c11 != inverse(X4)
| sk_c10 != multiply(X4,identity) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_21
| ~ spl17_31 ),
inference(forward_demodulation,[],[f285,f1059]) ).
fof(f285,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) )
| ~ spl17_21 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl17_21
<=> ! [X4] :
( sk_c11 != inverse(X4)
| sk_c10 != multiply(X4,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_21])]) ).
fof(f1273,plain,
( ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_18
| ~ spl17_22
| ~ spl17_31 ),
inference(avatar_contradiction_clause,[],[f1272]) ).
fof(f1272,plain,
( $false
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_18
| ~ spl17_22
| ~ spl17_31 ),
inference(subsumption_resolution,[],[f1267,f1051]) ).
fof(f1267,plain,
( identity != inverse(identity)
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_18
| ~ spl17_31 ),
inference(trivial_inequality_removal,[],[f1264]) ).
fof(f1264,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_18
| ~ spl17_31 ),
inference(superposition,[],[f1238,f1]) ).
fof(f1238,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_18
| ~ spl17_31 ),
inference(forward_demodulation,[],[f1237,f1059]) ).
fof(f1237,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c11 != multiply(X3,identity) )
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_18 ),
inference(forward_demodulation,[],[f1236,f904]) ).
fof(f1236,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c11 != multiply(X3,sk_c12) )
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_18 ),
inference(forward_demodulation,[],[f276,f904]) ).
fof(f276,plain,
( ! [X3] :
( sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12) )
| ~ spl17_18 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f275,plain,
( spl17_18
<=> ! [X3] :
( sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_18])]) ).
fof(f1235,plain,
( ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_19
| ~ spl17_22
| ~ spl17_31 ),
inference(avatar_contradiction_clause,[],[f1234]) ).
fof(f1234,plain,
( $false
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_19
| ~ spl17_22
| ~ spl17_31 ),
inference(subsumption_resolution,[],[f1233,f1051]) ).
fof(f1233,plain,
( identity != inverse(identity)
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_19
| ~ spl17_22
| ~ spl17_31 ),
inference(forward_demodulation,[],[f1229,f1051]) ).
fof(f1229,plain,
( identity != inverse(inverse(identity))
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_19
| ~ spl17_31 ),
inference(trivial_inequality_removal,[],[f1227]) ).
fof(f1227,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_19
| ~ spl17_31 ),
inference(superposition,[],[f1220,f2]) ).
fof(f1220,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_19
| ~ spl17_31 ),
inference(forward_demodulation,[],[f1219,f904]) ).
fof(f1219,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c12 != multiply(X5,identity) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_19
| ~ spl17_31 ),
inference(forward_demodulation,[],[f1218,f1068]) ).
fof(f1218,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c12 != multiply(X5,sk_c10) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_19
| ~ spl17_31 ),
inference(forward_demodulation,[],[f279,f1068]) ).
fof(f279,plain,
( ! [X5] :
( sk_c10 != inverse(X5)
| sk_c12 != multiply(X5,sk_c10) )
| ~ spl17_19 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl17_19
<=> ! [X5] :
( sk_c10 != inverse(X5)
| sk_c12 != multiply(X5,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_19])]) ).
fof(f1217,plain,
( ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_20
| ~ spl17_22
| ~ spl17_31 ),
inference(avatar_contradiction_clause,[],[f1216]) ).
fof(f1216,plain,
( $false
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_20
| ~ spl17_22
| ~ spl17_31 ),
inference(subsumption_resolution,[],[f1211,f1051]) ).
fof(f1211,plain,
( identity != inverse(identity)
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_20
| ~ spl17_22
| ~ spl17_31 ),
inference(trivial_inequality_removal,[],[f1208]) ).
fof(f1208,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_20
| ~ spl17_22
| ~ spl17_31 ),
inference(superposition,[],[f1170,f1]) ).
fof(f1170,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_20
| ~ spl17_22
| ~ spl17_31 ),
inference(forward_demodulation,[],[f1169,f1051]) ).
fof(f1169,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| inverse(X0) != inverse(identity) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_20
| ~ spl17_22
| ~ spl17_31 ),
inference(forward_demodulation,[],[f1168,f1051]) ).
fof(f1168,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| inverse(X0) != inverse(identity) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_20
| ~ spl17_22
| ~ spl17_31 ),
inference(forward_demodulation,[],[f1167,f1051]) ).
fof(f1167,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(identity)) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_20
| ~ spl17_22
| ~ spl17_31 ),
inference(forward_demodulation,[],[f1166,f1051]) ).
fof(f1166,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| inverse(X0) != inverse(inverse(identity)) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_20
| ~ spl17_22
| ~ spl17_31 ),
inference(subsumption_resolution,[],[f1165,f1051]) ).
fof(f1165,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| inverse(X0) != inverse(inverse(identity))
| identity != inverse(identity) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_20
| ~ spl17_22
| ~ spl17_31 ),
inference(forward_demodulation,[],[f1164,f1051]) ).
fof(f1164,plain,
( ! [X0] :
( inverse(inverse(identity)) != inverse(identity)
| inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_20
| ~ spl17_31 ),
inference(subsumption_resolution,[],[f1135,f373]) ).
fof(f373,plain,
! [X1] : multiply(inverse(inverse(X1)),identity) = X1,
inference(superposition,[],[f349,f2]) ).
fof(f1135,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| identity != multiply(inverse(inverse(identity)),identity)
| inverse(X0) != inverse(inverse(identity))
| inverse(inverse(identity)) != inverse(identity) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_20
| ~ spl17_31 ),
inference(superposition,[],[f1094,f1]) ).
fof(f1094,plain,
( ! [X10,X8] :
( inverse(X10) != multiply(X10,inverse(inverse(X10)))
| identity != multiply(inverse(inverse(X10)),identity)
| inverse(X8) != inverse(inverse(X10))
| identity != multiply(X8,inverse(inverse(X10))) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_20
| ~ spl17_31 ),
inference(forward_demodulation,[],[f1093,f904]) ).
fof(f1093,plain,
( ! [X10,X8] :
( identity != multiply(inverse(inverse(X10)),identity)
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| sk_c12 != multiply(X8,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10)) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_20
| ~ spl17_31 ),
inference(forward_demodulation,[],[f1092,f904]) ).
fof(f1092,plain,
( ! [X10,X8] :
( sk_c12 != multiply(inverse(inverse(X10)),identity)
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10))
| sk_c12 != multiply(X8,inverse(inverse(X10))) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_20
| ~ spl17_31 ),
inference(forward_demodulation,[],[f282,f1059]) ).
fof(f282,plain,
( ! [X10,X8] :
( inverse(X10) != multiply(X10,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10))
| sk_c12 != multiply(inverse(inverse(X10)),sk_c11)
| sk_c12 != multiply(X8,inverse(inverse(X10))) )
| ~ spl17_20 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl17_20
<=> ! [X8,X10] :
( sk_c12 != multiply(X8,inverse(inverse(X10)))
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10))
| sk_c12 != multiply(inverse(inverse(X10)),sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_20])]) ).
fof(f1104,plain,
( spl17_28
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_31 ),
inference(avatar_split_clause,[],[f1103,f654,f224,f218,f203,f184,f175,f166,f634]) ).
fof(f1103,plain,
( identity = sk_c2
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_31 ),
inference(forward_demodulation,[],[f1102,f2]) ).
fof(f1102,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_31 ),
inference(forward_demodulation,[],[f997,f1059]) ).
fof(f997,plain,
( sk_c2 = multiply(inverse(sk_c11),identity)
| ~ spl17_3 ),
inference(backward_demodulation,[],[f391,f177]) ).
fof(f391,plain,
sk_c2 = multiply(inverse(sF9),identity),
inference(superposition,[],[f349,f332]) ).
fof(f1090,plain,
( spl17_24
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_31 ),
inference(avatar_split_clause,[],[f1075,f654,f224,f218,f203,f184,f175,f166,f581]) ).
fof(f1075,plain,
( identity = inverse(sk_c2)
| ~ spl17_1
| ~ spl17_3
| ~ spl17_5
| ~ spl17_9
| ~ spl17_12
| ~ spl17_13
| ~ spl17_31 ),
inference(backward_demodulation,[],[f995,f1059]) ).
fof(f995,plain,
( sk_c11 = inverse(sk_c2)
| ~ spl17_3 ),
inference(backward_demodulation,[],[f93,f177]) ).
fof(f1041,plain,
( spl17_8
| ~ spl17_1
| ~ spl17_7
| ~ spl17_11 ),
inference(avatar_split_clause,[],[f877,f213,f193,f166,f197]) ).
fof(f197,plain,
( spl17_8
<=> sk_c11 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f193,plain,
( spl17_7
<=> sk_c12 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f213,plain,
( spl17_11
<=> sk_c12 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
fof(f877,plain,
( sk_c11 = sF11
| ~ spl17_1
| ~ spl17_7
| ~ spl17_11 ),
inference(forward_demodulation,[],[f876,f869]) ).
fof(f869,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| ~ spl17_1 ),
inference(backward_demodulation,[],[f101,f168]) ).
fof(f876,plain,
( multiply(sk_c1,sk_c12) = sF11
| ~ spl17_7
| ~ spl17_11 ),
inference(forward_demodulation,[],[f98,f861]) ).
fof(f861,plain,
( sk_c1 = sk_c4
| ~ spl17_7
| ~ spl17_11 ),
inference(backward_demodulation,[],[f383,f858]) ).
fof(f858,plain,
( sk_c1 = multiply(inverse(sk_c12),identity)
| ~ spl17_7 ),
inference(backward_demodulation,[],[f376,f195]) ).
fof(f195,plain,
( sk_c12 = sF1
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f376,plain,
sk_c1 = multiply(inverse(sF1),identity),
inference(superposition,[],[f349,f326]) ).
fof(f326,plain,
identity = multiply(sF1,sk_c1),
inference(superposition,[],[f2,f78]) ).
fof(f78,plain,
inverse(sk_c1) = sF1,
introduced(function_definition,[]) ).
fof(f383,plain,
( sk_c4 = multiply(inverse(sk_c12),identity)
| ~ spl17_11 ),
inference(superposition,[],[f349,f327]) ).
fof(f327,plain,
( identity = multiply(sk_c12,sk_c4)
| ~ spl17_11 ),
inference(superposition,[],[f2,f317]) ).
fof(f317,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl17_11 ),
inference(backward_demodulation,[],[f106,f215]) ).
fof(f215,plain,
( sk_c12 = sF15
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f106,plain,
inverse(sk_c4) = sF15,
introduced(function_definition,[]) ).
fof(f98,plain,
multiply(sk_c4,sk_c12) = sF11,
introduced(function_definition,[]) ).
fof(f978,plain,
( spl17_22
| ~ spl17_5
| ~ spl17_7
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12 ),
inference(avatar_split_clause,[],[f917,f218,f213,f203,f193,f184,f572]) ).
fof(f917,plain,
( identity = inverse(sk_c1)
| ~ spl17_5
| ~ spl17_7
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12 ),
inference(backward_demodulation,[],[f862,f904]) ).
fof(f862,plain,
( sk_c12 = inverse(sk_c1)
| ~ spl17_7
| ~ spl17_11 ),
inference(backward_demodulation,[],[f317,f861]) ).
fof(f975,plain,
( spl17_31
| ~ spl17_5
| ~ spl17_7
| ~ spl17_9
| ~ spl17_12 ),
inference(avatar_split_clause,[],[f974,f218,f203,f193,f184,f654]) ).
fof(f974,plain,
( identity = sk_c1
| ~ spl17_5
| ~ spl17_7
| ~ spl17_9
| ~ spl17_12 ),
inference(forward_demodulation,[],[f916,f2]) ).
fof(f916,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl17_5
| ~ spl17_7
| ~ spl17_9
| ~ spl17_12 ),
inference(backward_demodulation,[],[f858,f904]) ).
fof(f857,plain,
( ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_13
| spl17_15 ),
inference(avatar_contradiction_clause,[],[f856]) ).
fof(f856,plain,
( $false
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_13
| spl17_15 ),
inference(subsumption_resolution,[],[f855,f831]) ).
fof(f831,plain,
( identity != sF0
| ~ spl17_3
| ~ spl17_8
| ~ spl17_11
| ~ spl17_13
| spl17_15 ),
inference(backward_demodulation,[],[f234,f827]) ).
fof(f827,plain,
( identity = sk_c10
| ~ spl17_3
| ~ spl17_8
| ~ spl17_11
| ~ spl17_13 ),
inference(forward_demodulation,[],[f821,f2]) ).
fof(f821,plain,
( sk_c10 = multiply(inverse(identity),identity)
| ~ spl17_3
| ~ spl17_8
| ~ spl17_11
| ~ spl17_13 ),
inference(backward_demodulation,[],[f809,f817]) ).
fof(f817,plain,
( identity = sF9
| ~ spl17_3
| ~ spl17_8
| ~ spl17_11 ),
inference(forward_demodulation,[],[f177,f427]) ).
fof(f427,plain,
( identity = sk_c11
| ~ spl17_8
| ~ spl17_11 ),
inference(forward_demodulation,[],[f425,f2]) ).
fof(f425,plain,
( sk_c11 = multiply(inverse(sk_c12),sk_c12)
| ~ spl17_8
| ~ spl17_11 ),
inference(superposition,[],[f349,f394]) ).
fof(f394,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl17_8
| ~ spl17_11 ),
inference(forward_demodulation,[],[f377,f317]) ).
fof(f377,plain,
( sk_c12 = multiply(inverse(sk_c4),sk_c11)
| ~ spl17_8 ),
inference(superposition,[],[f349,f324]) ).
fof(f324,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| ~ spl17_8 ),
inference(backward_demodulation,[],[f98,f199]) ).
fof(f199,plain,
( sk_c11 = sF11
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f809,plain,
( sk_c10 = multiply(inverse(sF9),identity)
| ~ spl17_8
| ~ spl17_11
| ~ spl17_13 ),
inference(backward_demodulation,[],[f391,f805]) ).
fof(f805,plain,
( sk_c10 = sk_c2
| ~ spl17_8
| ~ spl17_11
| ~ spl17_13 ),
inference(backward_demodulation,[],[f724,f226]) ).
fof(f724,plain,
( sk_c2 = sF4
| ~ spl17_8
| ~ spl17_11 ),
inference(forward_demodulation,[],[f722,f391]) ).
fof(f722,plain,
( sF4 = multiply(inverse(sF9),identity)
| ~ spl17_8
| ~ spl17_11 ),
inference(superposition,[],[f349,f445]) ).
fof(f445,plain,
( identity = multiply(sF9,sF4)
| ~ spl17_8
| ~ spl17_11 ),
inference(backward_demodulation,[],[f395,f427]) ).
fof(f395,plain,
sk_c11 = multiply(sF9,sF4),
inference(forward_demodulation,[],[f382,f93]) ).
fof(f382,plain,
sk_c11 = multiply(inverse(sk_c2),sF4),
inference(superposition,[],[f349,f83]) ).
fof(f234,plain,
( sk_c10 != sF0
| spl17_15 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f233,plain,
( spl17_15
<=> sk_c10 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_15])]) ).
fof(f855,plain,
( identity = sF0
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11 ),
inference(forward_demodulation,[],[f854,f1]) ).
fof(f854,plain,
( sF0 = multiply(identity,identity)
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11 ),
inference(forward_demodulation,[],[f853,f447]) ).
fof(f447,plain,
( identity = sk_c5
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11 ),
inference(forward_demodulation,[],[f443,f2]) ).
fof(f443,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11 ),
inference(backward_demodulation,[],[f384,f427]) ).
fof(f384,plain,
( sk_c5 = multiply(inverse(sk_c11),identity)
| ~ spl17_6 ),
inference(superposition,[],[f349,f328]) ).
fof(f328,plain,
( identity = multiply(sk_c11,sk_c5)
| ~ spl17_6 ),
inference(superposition,[],[f2,f318]) ).
fof(f318,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl17_6 ),
inference(backward_demodulation,[],[f104,f190]) ).
fof(f190,plain,
( sk_c11 = sF14
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl17_6
<=> sk_c11 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f104,plain,
inverse(sk_c5) = sF14,
introduced(function_definition,[]) ).
fof(f853,plain,
( sF0 = multiply(sk_c5,identity)
| ~ spl17_8
| ~ spl17_11 ),
inference(forward_demodulation,[],[f77,f427]) ).
fof(f77,plain,
multiply(sk_c5,sk_c11) = sF0,
introduced(function_definition,[]) ).
fof(f778,plain,
( ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_15
| ~ spl17_21 ),
inference(avatar_contradiction_clause,[],[f777]) ).
fof(f777,plain,
( $false
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_15
| ~ spl17_21 ),
inference(subsumption_resolution,[],[f776,f448]) ).
fof(f448,plain,
( identity = inverse(identity)
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11 ),
inference(forward_demodulation,[],[f432,f447]) ).
fof(f432,plain,
( identity = inverse(sk_c5)
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11 ),
inference(backward_demodulation,[],[f318,f427]) ).
fof(f776,plain,
( identity != inverse(identity)
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_15
| ~ spl17_21 ),
inference(forward_demodulation,[],[f771,f448]) ).
fof(f771,plain,
( identity != inverse(inverse(identity))
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_15
| ~ spl17_21 ),
inference(trivial_inequality_removal,[],[f768]) ).
fof(f768,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_15
| ~ spl17_21 ),
inference(superposition,[],[f761,f2]) ).
fof(f761,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_15
| ~ spl17_21 ),
inference(forward_demodulation,[],[f760,f458]) ).
fof(f458,plain,
( identity = sk_c10
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_15 ),
inference(forward_demodulation,[],[f457,f1]) ).
fof(f457,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_15 ),
inference(forward_demodulation,[],[f434,f447]) ).
fof(f434,plain,
( sk_c10 = multiply(sk_c5,identity)
| ~ spl17_8
| ~ spl17_11
| ~ spl17_15 ),
inference(backward_demodulation,[],[f320,f427]) ).
fof(f320,plain,
( multiply(sk_c5,sk_c11) = sk_c10
| ~ spl17_15 ),
inference(backward_demodulation,[],[f77,f235]) ).
fof(f235,plain,
( sk_c10 = sF0
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f760,plain,
( ! [X4] :
( sk_c10 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl17_8
| ~ spl17_11
| ~ spl17_21 ),
inference(forward_demodulation,[],[f759,f427]) ).
fof(f759,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c10 != multiply(X4,sk_c11) )
| ~ spl17_8
| ~ spl17_11
| ~ spl17_21 ),
inference(forward_demodulation,[],[f285,f427]) ).
fof(f758,plain,
( ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(avatar_contradiction_clause,[],[f757]) ).
fof(f757,plain,
( $false
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(subsumption_resolution,[],[f750,f448]) ).
fof(f750,plain,
( identity != inverse(identity)
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(trivial_inequality_removal,[],[f746]) ).
fof(f746,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(superposition,[],[f651,f1]) ).
fof(f651,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f650,f448]) ).
fof(f650,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(X0,inverse(identity)) )
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f649,f448]) ).
fof(f649,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| identity != inverse(X0) )
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f648,f448]) ).
fof(f648,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(subsumption_resolution,[],[f647,f448]) ).
fof(f647,plain,
( ! [X0] :
( identity != inverse(identity)
| identity != multiply(X0,inverse(inverse(identity)))
| inverse(X0) != inverse(identity) )
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f646,f448]) ).
fof(f646,plain,
( ! [X0] :
( inverse(inverse(identity)) != inverse(identity)
| inverse(X0) != inverse(identity)
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f645,f448]) ).
fof(f645,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| inverse(inverse(identity)) != inverse(identity)
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(subsumption_resolution,[],[f629,f373]) ).
fof(f629,plain,
( ! [X0] :
( identity != multiply(inverse(inverse(identity)),identity)
| inverse(X0) != inverse(inverse(identity))
| inverse(inverse(identity)) != inverse(identity)
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(superposition,[],[f624,f1]) ).
fof(f624,plain,
( ! [X10,X8] :
( inverse(X10) != multiply(X10,inverse(inverse(X10)))
| identity != multiply(inverse(inverse(X10)),identity)
| identity != multiply(X8,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10)) )
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f623,f489]) ).
fof(f489,plain,
( identity = sk_c12
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17 ),
inference(forward_demodulation,[],[f488,f448]) ).
fof(f488,plain,
( sk_c12 = inverse(identity)
| ~ spl17_2
| ~ spl17_4
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17 ),
inference(backward_demodulation,[],[f317,f483]) ).
fof(f483,plain,
( identity = sk_c4
| ~ spl17_2
| ~ spl17_4
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17 ),
inference(backward_demodulation,[],[f472,f480]) ).
fof(f480,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl17_2
| ~ spl17_4
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17 ),
inference(backward_demodulation,[],[f467,f477]) ).
fof(f477,plain,
( ! [X16] : multiply(sk_c12,X16) = X16
| ~ spl17_2
| ~ spl17_4
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17 ),
inference(forward_demodulation,[],[f476,f467]) ).
fof(f476,plain,
( ! [X16] : multiply(sk_c12,X16) = multiply(sk_c6,multiply(sk_c12,X16))
| ~ spl17_8
| ~ spl17_11
| ~ spl17_16
| ~ spl17_17 ),
inference(backward_demodulation,[],[f345,f474]) ).
fof(f474,plain,
( ! [X11] : multiply(sk_c9,X11) = multiply(sk_c12,X11)
| ~ spl17_8
| ~ spl17_11
| ~ spl17_16 ),
inference(forward_demodulation,[],[f438,f1]) ).
fof(f438,plain,
( ! [X11] : multiply(sk_c12,X11) = multiply(sk_c9,multiply(identity,X11))
| ~ spl17_8
| ~ spl17_11
| ~ spl17_16 ),
inference(backward_demodulation,[],[f340,f427]) ).
fof(f340,plain,
( ! [X11] : multiply(sk_c9,multiply(sk_c11,X11)) = multiply(sk_c12,X11)
| ~ spl17_16 ),
inference(superposition,[],[f3,f319]) ).
fof(f319,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| ~ spl17_16 ),
inference(backward_demodulation,[],[f80,f247]) ).
fof(f247,plain,
( sk_c12 = sF2
| ~ spl17_16 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl17_16
<=> sk_c12 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_16])]) ).
fof(f80,plain,
multiply(sk_c9,sk_c11) = sF2,
introduced(function_definition,[]) ).
fof(f345,plain,
( ! [X16] : multiply(sk_c6,multiply(sk_c9,X16)) = multiply(sk_c12,X16)
| ~ spl17_17 ),
inference(superposition,[],[f3,f321]) ).
fof(f321,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| ~ spl17_17 ),
inference(backward_demodulation,[],[f94,f262]) ).
fof(f262,plain,
( sk_c12 = sF10
| ~ spl17_17 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl17_17
<=> sk_c12 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_17])]) ).
fof(f94,plain,
multiply(sk_c6,sk_c9) = sF10,
introduced(function_definition,[]) ).
fof(f467,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c12,X0)) = X0
| ~ spl17_2
| ~ spl17_4
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16 ),
inference(backward_demodulation,[],[f406,f466]) ).
fof(f466,plain,
( sk_c12 = sk_c8
| ~ spl17_2
| ~ spl17_4
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16 ),
inference(backward_demodulation,[],[f413,f433]) ).
fof(f433,plain,
( sk_c12 = multiply(sk_c9,identity)
| ~ spl17_8
| ~ spl17_11
| ~ spl17_16 ),
inference(backward_demodulation,[],[f319,f427]) ).
fof(f413,plain,
( sk_c8 = multiply(sk_c9,identity)
| ~ spl17_2
| ~ spl17_4
| ~ spl17_14 ),
inference(forward_demodulation,[],[f412,f323]) ).
fof(f323,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl17_4 ),
inference(backward_demodulation,[],[f86,f181]) ).
fof(f181,plain,
( sk_c9 = sF6
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl17_4
<=> sk_c9 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f86,plain,
inverse(sk_c6) = sF6,
introduced(function_definition,[]) ).
fof(f412,plain,
( sk_c8 = multiply(inverse(sk_c6),identity)
| ~ spl17_2
| ~ spl17_4
| ~ spl17_14 ),
inference(forward_demodulation,[],[f389,f397]) ).
fof(f397,plain,
( sk_c6 = sk_c7
| ~ spl17_2
| ~ spl17_4 ),
inference(backward_demodulation,[],[f390,f386]) ).
fof(f386,plain,
( sk_c6 = multiply(inverse(sk_c9),identity)
| ~ spl17_4 ),
inference(superposition,[],[f349,f329]) ).
fof(f329,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl17_4 ),
inference(superposition,[],[f2,f323]) ).
fof(f390,plain,
( sk_c7 = multiply(inverse(sk_c9),identity)
| ~ spl17_2 ),
inference(superposition,[],[f349,f331]) ).
fof(f331,plain,
( identity = multiply(sk_c9,sk_c7)
| ~ spl17_2 ),
inference(superposition,[],[f2,f322]) ).
fof(f322,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl17_2 ),
inference(backward_demodulation,[],[f102,f172]) ).
fof(f172,plain,
( sk_c9 = sF13
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl17_2
<=> sk_c9 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f102,plain,
inverse(sk_c7) = sF13,
introduced(function_definition,[]) ).
fof(f389,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl17_14 ),
inference(superposition,[],[f349,f330]) ).
fof(f330,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl17_14 ),
inference(superposition,[],[f2,f316]) ).
fof(f316,plain,
( inverse(sk_c8) = sk_c7
| ~ spl17_14 ),
inference(backward_demodulation,[],[f90,f230]) ).
fof(f230,plain,
( sk_c7 = sF8
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl17_14
<=> sk_c7 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).
fof(f90,plain,
inverse(sk_c8) = sF8,
introduced(function_definition,[]) ).
fof(f406,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
| ~ spl17_2
| ~ spl17_4
| ~ spl17_14 ),
inference(backward_demodulation,[],[f355,f397]) ).
fof(f355,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl17_14 ),
inference(forward_demodulation,[],[f354,f1]) ).
fof(f354,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl17_14 ),
inference(superposition,[],[f3,f330]) ).
fof(f472,plain,
( sk_c4 = multiply(sk_c6,identity)
| ~ spl17_2
| ~ spl17_4
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16 ),
inference(backward_demodulation,[],[f383,f468]) ).
fof(f468,plain,
( sk_c6 = inverse(sk_c12)
| ~ spl17_2
| ~ spl17_4
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16 ),
inference(backward_demodulation,[],[f400,f466]) ).
fof(f400,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl17_2
| ~ spl17_4
| ~ spl17_14 ),
inference(backward_demodulation,[],[f316,f397]) ).
fof(f623,plain,
( ! [X10,X8] :
( inverse(X10) != multiply(X10,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10))
| sk_c12 != multiply(X8,inverse(inverse(X10)))
| identity != multiply(inverse(inverse(X10)),identity) )
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_20 ),
inference(forward_demodulation,[],[f622,f489]) ).
fof(f622,plain,
( ! [X10,X8] :
( sk_c12 != multiply(inverse(inverse(X10)),identity)
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| sk_c12 != multiply(X8,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10)) )
| ~ spl17_8
| ~ spl17_11
| ~ spl17_20 ),
inference(forward_demodulation,[],[f282,f427]) ).
fof(f621,plain,
( ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17
| ~ spl17_19 ),
inference(avatar_contradiction_clause,[],[f620]) ).
fof(f620,plain,
( $false
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17
| ~ spl17_19 ),
inference(subsumption_resolution,[],[f619,f448]) ).
fof(f619,plain,
( identity != inverse(identity)
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17
| ~ spl17_19 ),
inference(forward_demodulation,[],[f612,f448]) ).
fof(f612,plain,
( identity != inverse(inverse(identity))
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17
| ~ spl17_19 ),
inference(trivial_inequality_removal,[],[f610]) ).
fof(f610,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17
| ~ spl17_19 ),
inference(superposition,[],[f605,f2]) ).
fof(f605,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17
| ~ spl17_19 ),
inference(forward_demodulation,[],[f604,f489]) ).
fof(f604,plain,
( ! [X5] :
( sk_c12 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_15
| ~ spl17_19 ),
inference(forward_demodulation,[],[f603,f458]) ).
fof(f603,plain,
( ! [X5] :
( sk_c10 != inverse(X5)
| sk_c12 != multiply(X5,identity) )
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_15
| ~ spl17_19 ),
inference(forward_demodulation,[],[f279,f458]) ).
fof(f602,plain,
( ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_18 ),
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f601,plain,
( $false
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_18 ),
inference(subsumption_resolution,[],[f600,f448]) ).
fof(f600,plain,
( identity != inverse(identity)
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_18 ),
inference(forward_demodulation,[],[f569,f448]) ).
fof(f569,plain,
( identity != inverse(inverse(identity))
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_18 ),
inference(trivial_inequality_removal,[],[f567]) ).
fof(f567,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_18 ),
inference(superposition,[],[f546,f2]) ).
fof(f546,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_18 ),
inference(forward_demodulation,[],[f545,f489]) ).
fof(f545,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c12 != inverse(X3) )
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_18 ),
inference(forward_demodulation,[],[f544,f427]) ).
fof(f544,plain,
( ! [X3] :
( sk_c11 != multiply(X3,identity)
| sk_c12 != inverse(X3) )
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_16
| ~ spl17_17
| ~ spl17_18 ),
inference(forward_demodulation,[],[f276,f489]) ).
fof(f507,plain,
( ~ spl17_2
| ~ spl17_4
| spl17_5
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17 ),
inference(avatar_contradiction_clause,[],[f506]) ).
fof(f506,plain,
( $false
| ~ spl17_2
| ~ spl17_4
| spl17_5
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17 ),
inference(subsumption_resolution,[],[f499,f429]) ).
fof(f429,plain,
( identity != sF3
| spl17_5
| ~ spl17_8
| ~ spl17_11 ),
inference(backward_demodulation,[],[f185,f427]) ).
fof(f185,plain,
( sk_c11 != sF3
| spl17_5 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f499,plain,
( identity = sF3
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_14
| ~ spl17_15
| ~ spl17_16
| ~ spl17_17 ),
inference(backward_demodulation,[],[f455,f489]) ).
fof(f455,plain,
( sk_c12 = sF3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_15 ),
inference(backward_demodulation,[],[f81,f452]) ).
fof(f452,plain,
( ! [X12] : multiply(sk_c10,X12) = X12
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_15 ),
inference(forward_demodulation,[],[f451,f1]) ).
fof(f451,plain,
( ! [X12] : multiply(sk_c10,X12) = multiply(identity,X12)
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_15 ),
inference(forward_demodulation,[],[f450,f447]) ).
fof(f450,plain,
( ! [X12] : multiply(sk_c5,X12) = multiply(sk_c10,X12)
| ~ spl17_8
| ~ spl17_11
| ~ spl17_15 ),
inference(forward_demodulation,[],[f439,f1]) ).
fof(f439,plain,
( ! [X12] : multiply(sk_c5,multiply(identity,X12)) = multiply(sk_c10,X12)
| ~ spl17_8
| ~ spl17_11
| ~ spl17_15 ),
inference(backward_demodulation,[],[f341,f427]) ).
fof(f341,plain,
( ! [X12] : multiply(sk_c10,X12) = multiply(sk_c5,multiply(sk_c11,X12))
| ~ spl17_15 ),
inference(superposition,[],[f3,f320]) ).
fof(f315,plain,
( spl17_7
| spl17_14 ),
inference(avatar_split_clause,[],[f91,f228,f193]) ).
fof(f91,plain,
( sk_c7 = sF8
| sk_c12 = sF1 ),
inference(definition_folding,[],[f21,f90,f78]) ).
fof(f21,axiom,
( sk_c12 = inverse(sk_c1)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f314,plain,
( spl17_15
| spl17_3 ),
inference(avatar_split_clause,[],[f96,f175,f233]) ).
fof(f96,plain,
( sk_c11 = sF9
| sk_c10 = sF0 ),
inference(definition_folding,[],[f36,f93,f77]) ).
fof(f36,axiom,
( multiply(sk_c5,sk_c11) = sk_c10
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f312,plain,
( spl17_13
| spl17_2 ),
inference(avatar_split_clause,[],[f112,f170,f224]) ).
fof(f112,plain,
( sk_c9 = sF13
| sk_c10 = sF4 ),
inference(definition_folding,[],[f32,f102,f83]) ).
fof(f32,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f310,plain,
( spl17_3
| spl17_6 ),
inference(avatar_split_clause,[],[f131,f188,f175]) ).
fof(f131,plain,
( sk_c11 = sF14
| sk_c11 = sF9 ),
inference(definition_folding,[],[f37,f104,f93]) ).
fof(f37,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f309,plain,
( spl17_16
| spl17_5 ),
inference(avatar_split_clause,[],[f82,f184,f245]) ).
fof(f82,plain,
( sk_c11 = sF3
| sk_c12 = sF2 ),
inference(definition_folding,[],[f50,f81,f80]) ).
fof(f50,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c11 = multiply(sk_c10,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f307,plain,
( spl17_9
| spl17_17 ),
inference(avatar_split_clause,[],[f162,f260,f203]) ).
fof(f162,plain,
( sk_c12 = sF10
| sk_c10 = sF16 ),
inference(definition_folding,[],[f68,f94,f120]) ).
fof(f68,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_65) ).
fof(f306,plain,
( spl17_14
| spl17_9 ),
inference(avatar_split_clause,[],[f159,f203,f228]) ).
fof(f159,plain,
( sk_c10 = sF16
| sk_c7 = sF8 ),
inference(definition_folding,[],[f71,f90,f120]) ).
fof(f71,axiom,
( sk_c10 = inverse(sk_c3)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_68) ).
fof(f305,plain,
( spl17_2
| spl17_7 ),
inference(avatar_split_clause,[],[f153,f193,f170]) ).
fof(f153,plain,
( sk_c12 = sF1
| sk_c9 = sF13 ),
inference(definition_folding,[],[f22,f78,f102]) ).
fof(f22,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f304,plain,
( spl17_16
| spl17_12 ),
inference(avatar_split_clause,[],[f92,f218,f245]) ).
fof(f92,plain,
( sk_c12 = sF5
| sk_c12 = sF2 ),
inference(definition_folding,[],[f60,f80,f85]) ).
fof(f60,axiom,
( sk_c12 = multiply(sk_c3,sk_c10)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_57) ).
fof(f303,plain,
( spl17_16
| spl17_9 ),
inference(avatar_split_clause,[],[f156,f203,f245]) ).
fof(f156,plain,
( sk_c10 = sF16
| sk_c12 = sF2 ),
inference(definition_folding,[],[f70,f120,f80]) ).
fof(f70,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_67) ).
fof(f302,plain,
( spl17_7
| spl17_17 ),
inference(avatar_split_clause,[],[f154,f260,f193]) ).
fof(f154,plain,
( sk_c12 = sF10
| sk_c12 = sF1 ),
inference(definition_folding,[],[f18,f78,f94]) ).
fof(f18,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f301,plain,
( spl17_17
| spl17_13 ),
inference(avatar_split_clause,[],[f118,f224,f260]) ).
fof(f118,plain,
( sk_c10 = sF4
| sk_c12 = sF10 ),
inference(definition_folding,[],[f28,f94,f83]) ).
fof(f28,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f300,plain,
( spl17_4
| spl17_13 ),
inference(avatar_split_clause,[],[f144,f224,f179]) ).
fof(f144,plain,
( sk_c10 = sF4
| sk_c9 = sF6 ),
inference(definition_folding,[],[f29,f86,f83]) ).
fof(f29,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f299,plain,
( spl17_11
| spl17_9 ),
inference(avatar_split_clause,[],[f133,f203,f213]) ).
fof(f133,plain,
( sk_c10 = sF16
| sk_c12 = sF15 ),
inference(definition_folding,[],[f65,f106,f120]) ).
fof(f65,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_62) ).
fof(f298,plain,
( spl17_9
| spl17_4 ),
inference(avatar_split_clause,[],[f163,f179,f203]) ).
fof(f163,plain,
( sk_c9 = sF6
| sk_c10 = sF16 ),
inference(definition_folding,[],[f69,f86,f120]) ).
fof(f69,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_66) ).
fof(f297,plain,
( spl17_5
| spl17_17 ),
inference(avatar_split_clause,[],[f129,f260,f184]) ).
fof(f129,plain,
( sk_c12 = sF10
| sk_c11 = sF3 ),
inference(definition_folding,[],[f48,f81,f94]) ).
fof(f48,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c11 = multiply(sk_c10,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f295,plain,
( spl17_12
| spl17_4 ),
inference(avatar_split_clause,[],[f87,f179,f218]) ).
fof(f87,plain,
( sk_c9 = sF6
| sk_c12 = sF5 ),
inference(definition_folding,[],[f59,f86,f85]) ).
fof(f59,axiom,
( sk_c12 = multiply(sk_c3,sk_c10)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).
fof(f294,plain,
( spl17_17
| spl17_3 ),
inference(avatar_split_clause,[],[f95,f175,f260]) ).
fof(f95,plain,
( sk_c11 = sF9
| sk_c12 = sF10 ),
inference(definition_folding,[],[f38,f94,f93]) ).
fof(f38,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f293,plain,
( spl17_2
| spl17_5 ),
inference(avatar_split_clause,[],[f125,f184,f170]) ).
fof(f125,plain,
( sk_c11 = sF3
| sk_c9 = sF13 ),
inference(definition_folding,[],[f52,f102,f81]) ).
fof(f52,axiom,
( sk_c11 = multiply(sk_c10,sk_c12)
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f292,plain,
( spl17_1
| spl17_14 ),
inference(avatar_split_clause,[],[f161,f228,f166]) ).
fof(f161,plain,
( sk_c7 = sF8
| sk_c11 = sF12 ),
inference(definition_folding,[],[f11,f101,f90]) ).
fof(f11,axiom,
( inverse(sk_c8) = sk_c7
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f291,plain,
( spl17_5
| spl17_15 ),
inference(avatar_split_clause,[],[f119,f233,f184]) ).
fof(f119,plain,
( sk_c10 = sF0
| sk_c11 = sF3 ),
inference(definition_folding,[],[f46,f77,f81]) ).
fof(f46,axiom,
( sk_c11 = multiply(sk_c10,sk_c12)
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f289,plain,
( spl17_17
| spl17_1 ),
inference(avatar_split_clause,[],[f130,f166,f260]) ).
fof(f130,plain,
( sk_c11 = sF12
| sk_c12 = sF10 ),
inference(definition_folding,[],[f8,f101,f94]) ).
fof(f8,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f288,plain,
( spl17_8
| spl17_1 ),
inference(avatar_split_clause,[],[f141,f166,f197]) ).
fof(f141,plain,
( sk_c11 = sF12
| sk_c11 = sF11 ),
inference(definition_folding,[],[f4,f101,f98]) ).
fof(f4,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f287,plain,
( spl17_8
| spl17_5 ),
inference(avatar_split_clause,[],[f128,f184,f197]) ).
fof(f128,plain,
( sk_c11 = sF3
| sk_c11 = sF11 ),
inference(definition_folding,[],[f44,f81,f98]) ).
fof(f44,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c11 = multiply(sk_c10,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f286,plain,
( ~ spl17_5
| spl17_18
| spl17_19
| spl17_20
| spl17_18
| spl17_21
| spl17_21 ),
inference(avatar_split_clause,[],[f116,f284,f284,f275,f281,f278,f275,f184]) ).
fof(f116,plain,
! [X3,X10,X8,X6,X7,X4,X5] :
( sk_c10 != multiply(X7,sk_c11)
| sk_c11 != inverse(X4)
| sk_c11 != multiply(X6,sk_c12)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != multiply(X8,inverse(inverse(X10)))
| sk_c12 != inverse(X6)
| sk_c10 != inverse(X5)
| sk_c11 != inverse(X7)
| sk_c12 != inverse(X3)
| sk_c12 != multiply(inverse(inverse(X10)),sk_c11)
| sk_c11 != sF3
| sk_c11 != multiply(X3,sk_c12)
| inverse(X8) != inverse(inverse(X10))
| sk_c12 != multiply(X5,sk_c10)
| inverse(X10) != multiply(X10,inverse(inverse(X10))) ),
inference(definition_folding,[],[f76,f81]) ).
fof(f76,plain,
! [X3,X10,X8,X6,X7,X4,X5] :
( sk_c11 != multiply(X6,sk_c12)
| sk_c12 != multiply(X5,sk_c10)
| sk_c12 != multiply(X8,inverse(inverse(X10)))
| sk_c12 != inverse(X6)
| sk_c11 != inverse(X7)
| sk_c11 != multiply(sk_c10,sk_c12)
| sk_c10 != inverse(X5)
| inverse(X8) != inverse(inverse(X10))
| sk_c10 != multiply(X7,sk_c11)
| sk_c11 != inverse(X4)
| sk_c12 != multiply(inverse(inverse(X10)),sk_c11)
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12)
| sk_c10 != multiply(X4,sk_c11) ),
inference(equality_resolution,[],[f75]) ).
fof(f75,plain,
! [X3,X10,X11,X8,X6,X7,X4,X5] :
( sk_c11 != multiply(X6,sk_c12)
| sk_c12 != multiply(X5,sk_c10)
| sk_c12 != multiply(X8,inverse(X11))
| sk_c12 != inverse(X6)
| sk_c11 != inverse(X7)
| sk_c11 != multiply(sk_c10,sk_c12)
| sk_c10 != inverse(X5)
| inverse(X8) != inverse(X11)
| sk_c10 != multiply(X7,sk_c11)
| sk_c11 != inverse(X4)
| sk_c12 != multiply(inverse(X11),sk_c11)
| multiply(X10,inverse(X11)) != X11
| sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12)
| inverse(X10) != X11
| sk_c10 != multiply(X4,sk_c11) ),
inference(equality_resolution,[],[f74]) ).
fof(f74,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(X6,sk_c12)
| inverse(X11) != X9
| sk_c12 != multiply(X5,sk_c10)
| sk_c12 != multiply(X8,X9)
| sk_c12 != inverse(X6)
| sk_c11 != inverse(X7)
| sk_c11 != multiply(sk_c10,sk_c12)
| sk_c10 != inverse(X5)
| inverse(X8) != X9
| sk_c10 != multiply(X7,sk_c11)
| sk_c11 != inverse(X4)
| sk_c12 != multiply(X9,sk_c11)
| multiply(X10,X9) != X11
| sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12)
| inverse(X10) != X11
| sk_c10 != multiply(X4,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_71) ).
fof(f273,plain,
( spl17_13
| spl17_11 ),
inference(avatar_split_clause,[],[f124,f213,f224]) ).
fof(f124,plain,
( sk_c12 = sF15
| sk_c10 = sF4 ),
inference(definition_folding,[],[f25,f83,f106]) ).
fof(f25,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f272,plain,
( spl17_12
| spl17_11 ),
inference(avatar_split_clause,[],[f139,f213,f218]) ).
fof(f139,plain,
( sk_c12 = sF15
| sk_c12 = sF5 ),
inference(definition_folding,[],[f55,f106,f85]) ).
fof(f55,axiom,
( sk_c12 = multiply(sk_c3,sk_c10)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
fof(f270,plain,
( spl17_5
| spl17_14 ),
inference(avatar_split_clause,[],[f150,f228,f184]) ).
fof(f150,plain,
( sk_c7 = sF8
| sk_c11 = sF3 ),
inference(definition_folding,[],[f51,f81,f90]) ).
fof(f51,axiom,
( inverse(sk_c8) = sk_c7
| sk_c11 = multiply(sk_c10,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f269,plain,
( spl17_16
| spl17_7 ),
inference(avatar_split_clause,[],[f127,f193,f245]) ).
fof(f127,plain,
( sk_c12 = sF1
| sk_c12 = sF2 ),
inference(definition_folding,[],[f20,f78,f80]) ).
fof(f20,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f267,plain,
( spl17_14
| spl17_3 ),
inference(avatar_split_clause,[],[f114,f175,f228]) ).
fof(f114,plain,
( sk_c11 = sF9
| sk_c7 = sF8 ),
inference(definition_folding,[],[f41,f93,f90]) ).
fof(f41,axiom,
( inverse(sk_c8) = sk_c7
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f266,plain,
( spl17_6
| spl17_7 ),
inference(avatar_split_clause,[],[f105,f193,f188]) ).
fof(f105,plain,
( sk_c12 = sF1
| sk_c11 = sF14 ),
inference(definition_folding,[],[f17,f104,f78]) ).
fof(f17,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f265,plain,
( spl17_6
| spl17_13 ),
inference(avatar_split_clause,[],[f147,f224,f188]) ).
fof(f147,plain,
( sk_c10 = sF4
| sk_c11 = sF14 ),
inference(definition_folding,[],[f27,f104,f83]) ).
fof(f27,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f264,plain,
( spl17_1
| spl17_16 ),
inference(avatar_split_clause,[],[f126,f245,f166]) ).
fof(f126,plain,
( sk_c12 = sF2
| sk_c11 = sF12 ),
inference(definition_folding,[],[f10,f80,f101]) ).
fof(f10,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f263,plain,
( spl17_17
| spl17_12 ),
inference(avatar_split_clause,[],[f122,f218,f260]) ).
fof(f122,plain,
( sk_c12 = sF5
| sk_c12 = sF10 ),
inference(definition_folding,[],[f58,f85,f94]) ).
fof(f58,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c12 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
fof(f257,plain,
( spl17_5
| spl17_4 ),
inference(avatar_split_clause,[],[f158,f179,f184]) ).
fof(f158,plain,
( sk_c9 = sF6
| sk_c11 = sF3 ),
inference(definition_folding,[],[f49,f81,f86]) ).
fof(f49,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c11 = multiply(sk_c10,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f256,plain,
( spl17_9
| spl17_2 ),
inference(avatar_split_clause,[],[f121,f170,f203]) ).
fof(f121,plain,
( sk_c9 = sF13
| sk_c10 = sF16 ),
inference(definition_folding,[],[f72,f102,f120]) ).
fof(f72,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_69) ).
fof(f254,plain,
( spl17_2
| spl17_12 ),
inference(avatar_split_clause,[],[f115,f218,f170]) ).
fof(f115,plain,
( sk_c12 = sF5
| sk_c9 = sF13 ),
inference(definition_folding,[],[f62,f102,f85]) ).
fof(f62,axiom,
( sk_c12 = multiply(sk_c3,sk_c10)
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_59) ).
fof(f253,plain,
( spl17_11
| spl17_5 ),
inference(avatar_split_clause,[],[f132,f184,f213]) ).
fof(f132,plain,
( sk_c11 = sF3
| sk_c12 = sF15 ),
inference(definition_folding,[],[f45,f106,f81]) ).
fof(f45,axiom,
( sk_c11 = multiply(sk_c10,sk_c12)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f252,plain,
( spl17_7
| spl17_11 ),
inference(avatar_split_clause,[],[f149,f213,f193]) ).
fof(f149,plain,
( sk_c12 = sF15
| sk_c12 = sF1 ),
inference(definition_folding,[],[f15,f106,f78]) ).
fof(f15,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f251,plain,
( spl17_11
| spl17_3 ),
inference(avatar_split_clause,[],[f107,f175,f213]) ).
fof(f107,plain,
( sk_c11 = sF9
| sk_c12 = sF15 ),
inference(definition_folding,[],[f35,f93,f106]) ).
fof(f35,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f250,plain,
( spl17_16
| spl17_3 ),
inference(avatar_split_clause,[],[f138,f175,f245]) ).
fof(f138,plain,
( sk_c11 = sF9
| sk_c12 = sF2 ),
inference(definition_folding,[],[f40,f93,f80]) ).
fof(f40,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f249,plain,
( spl17_4
| spl17_7 ),
inference(avatar_split_clause,[],[f146,f193,f179]) ).
fof(f146,plain,
( sk_c12 = sF1
| sk_c9 = sF6 ),
inference(definition_folding,[],[f19,f86,f78]) ).
fof(f19,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f248,plain,
( spl17_16
| spl17_13 ),
inference(avatar_split_clause,[],[f97,f224,f245]) ).
fof(f97,plain,
( sk_c10 = sF4
| sk_c12 = sF2 ),
inference(definition_folding,[],[f30,f83,f80]) ).
fof(f30,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f242,plain,
( spl17_3
| spl17_2 ),
inference(avatar_split_clause,[],[f135,f170,f175]) ).
fof(f135,plain,
( sk_c9 = sF13
| sk_c11 = sF9 ),
inference(definition_folding,[],[f42,f102,f93]) ).
fof(f42,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f240,plain,
( spl17_9
| spl17_6 ),
inference(avatar_split_clause,[],[f123,f188,f203]) ).
fof(f123,plain,
( sk_c11 = sF14
| sk_c10 = sF16 ),
inference(definition_folding,[],[f67,f120,f104]) ).
fof(f67,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_64) ).
fof(f238,plain,
( spl17_1
| spl17_4 ),
inference(avatar_split_clause,[],[f160,f179,f166]) ).
fof(f160,plain,
( sk_c9 = sF6
| sk_c11 = sF12 ),
inference(definition_folding,[],[f9,f101,f86]) ).
fof(f9,axiom,
( sk_c9 = inverse(sk_c6)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f237,plain,
( spl17_14
| spl17_12 ),
inference(avatar_split_clause,[],[f142,f218,f228]) ).
fof(f142,plain,
( sk_c12 = sF5
| sk_c7 = sF8 ),
inference(definition_folding,[],[f61,f85,f90]) ).
fof(f61,axiom,
( inverse(sk_c8) = sk_c7
| sk_c12 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_58) ).
fof(f236,plain,
( spl17_15
| spl17_13 ),
inference(avatar_split_clause,[],[f84,f224,f233]) ).
fof(f84,plain,
( sk_c10 = sF4
| sk_c10 = sF0 ),
inference(definition_folding,[],[f26,f77,f83]) ).
fof(f26,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f231,plain,
( spl17_13
| spl17_14 ),
inference(avatar_split_clause,[],[f140,f228,f224]) ).
fof(f140,plain,
( sk_c7 = sF8
| sk_c10 = sF4 ),
inference(definition_folding,[],[f31,f90,f83]) ).
fof(f31,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f221,plain,
( spl17_6
| spl17_12 ),
inference(avatar_split_clause,[],[f151,f218,f188]) ).
fof(f151,plain,
( sk_c12 = sF5
| sk_c11 = sF14 ),
inference(definition_folding,[],[f57,f85,f104]) ).
fof(f57,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c12 = multiply(sk_c3,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).
fof(f216,plain,
( spl17_1
| spl17_11 ),
inference(avatar_split_clause,[],[f109,f213,f166]) ).
fof(f109,plain,
( sk_c12 = sF15
| sk_c11 = sF12 ),
inference(definition_folding,[],[f5,f101,f106]) ).
fof(f5,axiom,
( sk_c12 = inverse(sk_c4)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f201,plain,
( spl17_6
| spl17_1 ),
inference(avatar_split_clause,[],[f145,f166,f188]) ).
fof(f145,plain,
( sk_c11 = sF12
| sk_c11 = sF14 ),
inference(definition_folding,[],[f7,f101,f104]) ).
fof(f7,axiom,
( sk_c11 = inverse(sk_c5)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f200,plain,
( spl17_7
| spl17_8 ),
inference(avatar_split_clause,[],[f100,f197,f193]) ).
fof(f100,plain,
( sk_c11 = sF11
| sk_c12 = sF1 ),
inference(definition_folding,[],[f14,f78,f98]) ).
fof(f14,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f191,plain,
( spl17_5
| spl17_6 ),
inference(avatar_split_clause,[],[f148,f188,f184]) ).
fof(f148,plain,
( sk_c11 = sF14
| sk_c11 = sF3 ),
inference(definition_folding,[],[f47,f104,f81]) ).
fof(f47,axiom,
( sk_c11 = multiply(sk_c10,sk_c12)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f182,plain,
( spl17_3
| spl17_4 ),
inference(avatar_split_clause,[],[f117,f179,f175]) ).
fof(f117,plain,
( sk_c9 = sF6
| sk_c11 = sF9 ),
inference(definition_folding,[],[f39,f93,f86]) ).
fof(f39,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f173,plain,
( spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f103,f170,f166]) ).
fof(f103,plain,
( sk_c9 = sF13
| sk_c11 = sF12 ),
inference(definition_folding,[],[f12,f102,f101]) ).
fof(f12,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP258-1 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n014.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 22:24:03 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.49 % (4761)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50 % (4753)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.51 % (4776)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.21/0.52 % (4755)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.52 % (4756)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.52 % (4757)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.53 % (4759)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (4774)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.53 % (4766)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.53 % (4778)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.54 % (4779)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.21/0.54 % (4754)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.54 % (4780)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.54 % (4754)Instruction limit reached!
% 0.21/0.54 % (4754)------------------------------
% 0.21/0.54 % (4754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (4754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (4754)Termination reason: Unknown
% 0.21/0.54 % (4754)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (4754)Memory used [KB]: 1407
% 0.21/0.54 % (4754)Time elapsed: 0.003 s
% 0.21/0.54 % (4754)Instructions burned: 4 (million)
% 0.21/0.54 % (4754)------------------------------
% 0.21/0.54 % (4754)------------------------------
% 0.21/0.54 % (4760)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.54 % (4760)Instruction limit reached!
% 0.21/0.54 % (4760)------------------------------
% 0.21/0.54 % (4760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (4760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (4760)Termination reason: Unknown
% 0.21/0.54 % (4760)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (4760)Memory used [KB]: 5884
% 0.21/0.54 % (4760)Time elapsed: 0.004 s
% 0.21/0.54 % (4760)Instructions burned: 3 (million)
% 0.21/0.54 % (4760)------------------------------
% 0.21/0.54 % (4760)------------------------------
% 0.21/0.54 % (4762)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.54 % (4759)Refutation not found, incomplete strategy% (4759)------------------------------
% 0.21/0.54 % (4759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (4752)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.54 % (4770)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.54 % (4771)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54 % (4762)Instruction limit reached!
% 0.21/0.54 % (4762)------------------------------
% 0.21/0.54 % (4762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (4762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (4762)Termination reason: Unknown
% 0.21/0.54 % (4762)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (4762)Memory used [KB]: 6012
% 0.21/0.54 % (4762)Time elapsed: 0.134 s
% 0.21/0.54 % (4762)Instructions burned: 7 (million)
% 0.21/0.54 % (4762)------------------------------
% 0.21/0.54 % (4762)------------------------------
% 0.21/0.54 % (4772)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.54 % (4759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (4759)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (4759)Memory used [KB]: 6012
% 0.21/0.54 % (4759)Time elapsed: 0.125 s
% 0.21/0.54 % (4759)Instructions burned: 7 (million)
% 0.21/0.54 % (4759)------------------------------
% 0.21/0.54 % (4759)------------------------------
% 0.21/0.55 % (4775)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.55 % (4767)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.55 % (4769)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.55 % (4758)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.55 % (4768)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55 % (4767)Instruction limit reached!
% 0.21/0.55 % (4767)------------------------------
% 0.21/0.55 % (4767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (4763)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.21/0.55 % (4767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (4767)Termination reason: Unknown
% 0.21/0.55 % (4767)Termination phase: Finite model building preprocessing
% 0.21/0.55
% 0.21/0.55 % (4767)Memory used [KB]: 1407
% 0.21/0.55 % (4767)Time elapsed: 0.007 s
% 0.21/0.55 % (4767)Instructions burned: 6 (million)
% 0.21/0.55 % (4767)------------------------------
% 0.21/0.55 % (4767)------------------------------
% 0.21/0.55 % (4777)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.21/0.55 % (4781)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (4764)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.55 % (4773)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.21/0.56 % (4775)Refutation not found, incomplete strategy% (4775)------------------------------
% 0.21/0.56 % (4775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (4775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (4775)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (4775)Memory used [KB]: 5884
% 0.21/0.56 % (4775)Time elapsed: 0.133 s
% 0.21/0.56 % (4775)Instructions burned: 7 (million)
% 0.21/0.56 % (4775)------------------------------
% 0.21/0.56 % (4775)------------------------------
% 0.21/0.56 % (4765)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.56 % (4764)Instruction limit reached!
% 0.21/0.56 % (4764)------------------------------
% 0.21/0.56 % (4764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (4764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (4764)Termination reason: Unknown
% 0.21/0.56 % (4764)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (4764)Memory used [KB]: 5884
% 0.21/0.56 % (4764)Time elapsed: 0.159 s
% 0.21/0.56 % (4764)Instructions burned: 5 (million)
% 0.21/0.56 % (4764)------------------------------
% 0.21/0.56 % (4764)------------------------------
% 0.21/0.56 % (4768)Instruction limit reached!
% 0.21/0.56 % (4768)------------------------------
% 0.21/0.56 % (4768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (4768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (4768)Termination reason: Unknown
% 0.21/0.56 % (4768)Termination phase: Property scanning
% 0.21/0.56
% 0.21/0.56 % (4768)Memory used [KB]: 1279
% 0.21/0.56 % (4768)Time elapsed: 0.002 s
% 0.21/0.56 % (4768)Instructions burned: 2 (million)
% 0.21/0.56 % (4768)------------------------------
% 0.21/0.56 % (4768)------------------------------
% 0.21/0.56 % (4765)Instruction limit reached!
% 0.21/0.56 % (4765)------------------------------
% 0.21/0.56 % (4765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (4765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (4765)Termination reason: Unknown
% 0.21/0.56 % (4765)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (4765)Memory used [KB]: 5884
% 0.21/0.56 % (4765)Time elapsed: 0.003 s
% 0.21/0.56 % (4765)Instructions burned: 4 (million)
% 0.21/0.56 % (4765)------------------------------
% 0.21/0.56 % (4765)------------------------------
% 1.65/0.56 % (4771)Instruction limit reached!
% 1.65/0.56 % (4771)------------------------------
% 1.65/0.56 % (4771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.56 % (4771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.56 % (4771)Termination reason: Unknown
% 1.65/0.56 % (4771)Termination phase: Saturation
% 1.65/0.56
% 1.65/0.56 % (4771)Memory used [KB]: 6012
% 1.65/0.56 % (4771)Time elapsed: 0.138 s
% 1.65/0.56 % (4771)Instructions burned: 8 (million)
% 1.65/0.56 % (4771)------------------------------
% 1.65/0.56 % (4771)------------------------------
% 1.65/0.57 % (4772)Instruction limit reached!
% 1.65/0.57 % (4772)------------------------------
% 1.65/0.57 % (4772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.57 % (4772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.57 % (4772)Termination reason: Unknown
% 1.65/0.57 % (4772)Termination phase: Saturation
% 1.65/0.57
% 1.65/0.57 % (4772)Memory used [KB]: 1407
% 1.65/0.57 % (4772)Time elapsed: 0.005 s
% 1.65/0.57 % (4772)Instructions burned: 6 (million)
% 1.65/0.57 % (4772)------------------------------
% 1.65/0.57 % (4772)------------------------------
% 1.65/0.57 % (4757)Instruction limit reached!
% 1.65/0.57 % (4757)------------------------------
% 1.65/0.57 % (4757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.57 % (4757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.57 % (4757)Termination reason: Unknown
% 1.65/0.57 % (4757)Termination phase: Saturation
% 1.65/0.57
% 1.65/0.57 % (4757)Memory used [KB]: 6268
% 1.65/0.57 % (4757)Time elapsed: 0.153 s
% 1.65/0.57 % (4757)Instructions burned: 25 (million)
% 1.65/0.57 % (4757)------------------------------
% 1.65/0.57 % (4757)------------------------------
% 1.65/0.57 % (4769)Instruction limit reached!
% 1.65/0.57 % (4769)------------------------------
% 1.65/0.57 % (4769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.57 % (4769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.57 % (4769)Termination reason: Unknown
% 1.65/0.57 % (4769)Termination phase: Saturation
% 1.65/0.57
% 1.65/0.57 % (4769)Memory used [KB]: 6012
% 1.65/0.57 % (4769)Time elapsed: 0.150 s
% 1.65/0.57 % (4769)Instructions burned: 8 (million)
% 1.65/0.57 % (4769)------------------------------
% 1.65/0.57 % (4769)------------------------------
% 1.65/0.58 % (4756)Instruction limit reached!
% 1.65/0.58 % (4756)------------------------------
% 1.65/0.58 % (4756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58 % (4756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.58 % (4756)Termination reason: Unknown
% 1.65/0.58 % (4756)Termination phase: Saturation
% 1.65/0.58
% 1.65/0.58 % (4756)Memory used [KB]: 6524
% 1.65/0.58 % (4756)Time elapsed: 0.158 s
% 1.65/0.58 % (4756)Instructions burned: 36 (million)
% 1.65/0.58 % (4756)------------------------------
% 1.65/0.58 % (4756)------------------------------
% 1.65/0.58 % (4766)Instruction limit reached!
% 1.65/0.58 % (4766)------------------------------
% 1.65/0.58 % (4766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58 % (4766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.58 % (4766)Termination reason: Unknown
% 1.65/0.58 % (4766)Termination phase: Saturation
% 1.65/0.58
% 1.65/0.58 % (4766)Memory used [KB]: 1663
% 1.65/0.58 % (4766)Time elapsed: 0.132 s
% 1.65/0.58 % (4766)Instructions burned: 30 (million)
% 1.65/0.58 % (4766)------------------------------
% 1.65/0.58 % (4766)------------------------------
% 1.82/0.58 % (4753)Instruction limit reached!
% 1.82/0.58 % (4753)------------------------------
% 1.82/0.58 % (4753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.58 % (4753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.58 % (4753)Termination reason: Unknown
% 1.82/0.58 % (4753)Termination phase: Saturation
% 1.82/0.58
% 1.82/0.58 % (4753)Memory used [KB]: 1791
% 1.82/0.58 % (4753)Time elapsed: 0.160 s
% 1.82/0.58 % (4753)Instructions burned: 42 (million)
% 1.82/0.58 % (4753)------------------------------
% 1.82/0.58 % (4753)------------------------------
% 1.82/0.58 % (4763)Instruction limit reached!
% 1.82/0.58 % (4763)------------------------------
% 1.82/0.58 % (4763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.58 % (4763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.58 % (4763)Termination reason: Unknown
% 1.82/0.58 % (4763)Termination phase: Saturation
% 1.82/0.58
% 1.82/0.58 % (4763)Memory used [KB]: 6396
% 1.82/0.58 % (4763)Time elapsed: 0.181 s
% 1.82/0.58 % (4763)Instructions burned: 24 (million)
% 1.82/0.58 % (4763)------------------------------
% 1.82/0.58 % (4763)------------------------------
% 1.82/0.58 % (4780)Instruction limit reached!
% 1.82/0.58 % (4780)------------------------------
% 1.82/0.58 % (4780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.58 % (4780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.58 % (4780)Termination reason: Unknown
% 1.82/0.58 % (4780)Termination phase: Saturation
% 1.82/0.58
% 1.82/0.58 % (4780)Memory used [KB]: 6268
% 1.82/0.58 % (4780)Time elapsed: 0.161 s
% 1.82/0.58 % (4780)Instructions burned: 20 (million)
% 1.82/0.58 % (4780)------------------------------
% 1.82/0.58 % (4780)------------------------------
% 1.82/0.59 % (4770)Instruction limit reached!
% 1.82/0.59 % (4770)------------------------------
% 1.82/0.59 % (4770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.59 % (4770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.59 % (4770)Termination reason: Unknown
% 1.82/0.59 % (4770)Termination phase: Saturation
% 1.82/0.59
% 1.82/0.59 % (4770)Memory used [KB]: 11001
% 1.82/0.59 % (4770)Time elapsed: 0.179 s
% 1.82/0.59 % (4770)Instructions burned: 29 (million)
% 1.82/0.59 % (4770)------------------------------
% 1.82/0.59 % (4770)------------------------------
% 1.82/0.59 % (4755)Instruction limit reached!
% 1.82/0.59 % (4755)------------------------------
% 1.82/0.59 % (4755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.59 % (4755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.59 % (4755)Termination reason: Unknown
% 1.82/0.59 % (4755)Termination phase: Saturation
% 1.82/0.59
% 1.82/0.59 % (4755)Memory used [KB]: 6524
% 1.82/0.59 % (4755)Time elapsed: 0.161 s
% 1.82/0.59 % (4755)Instructions burned: 44 (million)
% 1.82/0.59 % (4755)------------------------------
% 1.82/0.59 % (4755)------------------------------
% 1.82/0.60 % (4761)Instruction limit reached!
% 1.82/0.60 % (4761)------------------------------
% 1.82/0.60 % (4761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60 % (4761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60 % (4761)Termination reason: Unknown
% 1.82/0.60 % (4761)Termination phase: Saturation
% 1.82/0.60
% 1.82/0.60 % (4761)Memory used [KB]: 6908
% 1.82/0.60 % (4761)Time elapsed: 0.194 s
% 1.82/0.60 % (4761)Instructions burned: 53 (million)
% 1.82/0.60 % (4761)------------------------------
% 1.82/0.60 % (4761)------------------------------
% 1.82/0.60 % (4776)Instruction limit reached!
% 1.82/0.60 % (4776)------------------------------
% 1.82/0.60 % (4776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60 % (4776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60 % (4776)Termination reason: Unknown
% 1.82/0.60 % (4776)Termination phase: Saturation
% 1.82/0.60
% 1.82/0.60 % (4776)Memory used [KB]: 6780
% 1.82/0.60 % (4776)Time elapsed: 0.198 s
% 1.82/0.60 % (4776)Instructions burned: 48 (million)
% 1.82/0.60 % (4776)------------------------------
% 1.82/0.60 % (4776)------------------------------
% 1.82/0.61 % (4752)First to succeed.
% 1.82/0.62 % (4758)Instruction limit reached!
% 1.82/0.62 % (4758)------------------------------
% 1.82/0.62 % (4758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.62 % (4758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.62 % (4758)Termination reason: Unknown
% 1.82/0.62 % (4758)Termination phase: Saturation
% 1.82/0.62
% 1.82/0.62 % (4758)Memory used [KB]: 1791
% 1.82/0.62 % (4758)Time elapsed: 0.183 s
% 1.82/0.62 % (4758)Instructions burned: 49 (million)
% 1.82/0.62 % (4758)------------------------------
% 1.82/0.62 % (4758)------------------------------
% 1.82/0.63 % (4752)Refutation found. Thanks to Tanya!
% 1.82/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.82/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.82/0.63 % (4752)------------------------------
% 1.82/0.63 % (4752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.63 % (4752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.63 % (4752)Termination reason: Refutation
% 1.82/0.63
% 1.82/0.63 % (4752)Memory used [KB]: 6652
% 1.82/0.63 % (4752)Time elapsed: 0.190 s
% 1.82/0.63 % (4752)Instructions burned: 41 (million)
% 1.82/0.63 % (4752)------------------------------
% 1.82/0.63 % (4752)------------------------------
% 1.82/0.63 % (4751)Success in time 0.285 s
%------------------------------------------------------------------------------