TSTP Solution File: GRP330-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP330-1 : 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 : n016.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 16:15:23 EDT 2022
% Result : Unsatisfiable 1.99s 0.60s
% Output : Refutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 86
% Syntax : Number of formulae : 388 ( 38 unt; 0 def)
% Number of atoms : 1136 ( 476 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 1393 ( 645 ~; 715 |; 0 &)
% ( 33 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 34 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 27 con; 0-2 aty)
% Number of variables : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1616,plain,
$false,
inference(avatar_sat_refutation,[],[f131,f140,f154,f163,f168,f179,f180,f185,f187,f188,f193,f198,f199,f215,f218,f219,f222,f223,f224,f225,f226,f227,f228,f229,f231,f232,f234,f235,f238,f239,f242,f243,f244,f246,f248,f282,f299,f308,f310,f333,f343,f409,f425,f453,f492,f502,f507,f687,f703,f797,f861,f872,f890,f932,f995,f1078,f1178,f1228,f1300,f1400,f1426,f1490,f1613]) ).
fof(f1613,plain,
( ~ spl15_10
| ~ spl15_21
| spl15_24
| ~ spl15_25
| ~ spl15_29 ),
inference(avatar_contradiction_clause,[],[f1612]) ).
fof(f1612,plain,
( $false
| ~ spl15_10
| ~ spl15_21
| spl15_24
| ~ spl15_25
| ~ spl15_29 ),
inference(subsumption_resolution,[],[f1611,f1579]) ).
fof(f1579,plain,
( identity != sk_c9
| ~ spl15_21
| spl15_24 ),
inference(backward_demodulation,[],[f281,f267]) ).
fof(f267,plain,
( identity = sk_c10
| ~ spl15_21 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl15_21
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
fof(f281,plain,
( sk_c10 != sk_c9
| spl15_24 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl15_24
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).
fof(f1611,plain,
( identity = sk_c9
| ~ spl15_10
| ~ spl15_25
| ~ spl15_29 ),
inference(backward_demodulation,[],[f167,f1610]) ).
fof(f1610,plain,
( identity = sF12
| ~ spl15_25
| ~ spl15_29 ),
inference(forward_demodulation,[],[f313,f293]) ).
fof(f293,plain,
( identity = sk_c11
| ~ spl15_25 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f292,plain,
( spl15_25
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).
fof(f313,plain,
( sk_c11 = sF12
| ~ spl15_29 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f312,plain,
( spl15_29
<=> sk_c11 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).
fof(f167,plain,
( sk_c9 = sF12
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl15_10
<=> sk_c9 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f1490,plain,
( spl15_29
| ~ spl15_1
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14
| ~ spl15_26
| ~ spl15_33
| ~ spl15_51 ),
inference(avatar_split_clause,[],[f1489,f644,f335,f296,f190,f182,f170,f124,f312]) ).
fof(f124,plain,
( spl15_1
<=> sk_c11 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f170,plain,
( spl15_11
<=> sk_c10 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f182,plain,
( spl15_13
<=> sk_c11 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f190,plain,
( spl15_14
<=> sk_c8 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f296,plain,
( spl15_26
<=> sk_c10 = inverse(inverse(sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).
fof(f335,plain,
( spl15_33
<=> sk_c11 = inverse(sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).
fof(f644,plain,
( spl15_51
<=> inverse(sF13) = multiply(sk_c8,inverse(inverse(sF13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_51])]) ).
fof(f1489,plain,
( sk_c11 = sF12
| ~ spl15_1
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14
| ~ spl15_26
| ~ spl15_33
| ~ spl15_51 ),
inference(backward_demodulation,[],[f82,f1488]) ).
fof(f1488,plain,
( sk_c11 = multiply(sk_c4,sk_c10)
| ~ spl15_1
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14
| ~ spl15_26
| ~ spl15_33
| ~ spl15_51 ),
inference(forward_demodulation,[],[f1459,f1472]) ).
fof(f1472,plain,
( sk_c4 = sk_c5
| ~ spl15_1
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14
| ~ spl15_26
| ~ spl15_33
| ~ spl15_51 ),
inference(forward_demodulation,[],[f1471,f1404]) ).
fof(f1404,plain,
( sk_c4 = multiply(sk_c11,identity)
| ~ spl15_11
| ~ spl15_33 ),
inference(backward_demodulation,[],[f1070,f336]) ).
fof(f336,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl15_33 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f1070,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl15_11 ),
inference(forward_demodulation,[],[f401,f172]) ).
fof(f172,plain,
( sk_c10 = sF11
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f401,plain,
sk_c4 = multiply(inverse(sF11),identity),
inference(superposition,[],[f364,f255]) ).
fof(f255,plain,
identity = multiply(sF11,sk_c4),
inference(superposition,[],[f2,f79]) ).
fof(f79,plain,
inverse(sk_c4) = sF11,
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f364,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f351,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f351,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f1471,plain,
( sk_c5 = multiply(sk_c11,identity)
| ~ spl15_1
| ~ spl15_13
| ~ spl15_14
| ~ spl15_26
| ~ spl15_33
| ~ spl15_51 ),
inference(forward_demodulation,[],[f1457,f336]) ).
fof(f1457,plain,
( sk_c5 = multiply(inverse(sk_c10),identity)
| ~ spl15_1
| ~ spl15_13
| ~ spl15_14
| ~ spl15_26
| ~ spl15_33
| ~ spl15_51 ),
inference(backward_demodulation,[],[f802,f1450]) ).
fof(f1450,plain,
( sk_c10 = sk_c8
| ~ spl15_1
| ~ spl15_13
| ~ spl15_14
| ~ spl15_26
| ~ spl15_33
| ~ spl15_51 ),
inference(forward_demodulation,[],[f1449,f1420]) ).
fof(f1420,plain,
( sk_c10 = multiply(sk_c8,sk_c11)
| ~ spl15_13
| ~ spl15_26
| ~ spl15_33
| ~ spl15_51 ),
inference(forward_demodulation,[],[f1419,f336]) ).
fof(f1419,plain,
( sk_c10 = multiply(sk_c8,inverse(sk_c10))
| ~ spl15_13
| ~ spl15_26
| ~ spl15_33
| ~ spl15_51 ),
inference(forward_demodulation,[],[f1418,f1136]) ).
fof(f1136,plain,
( sk_c10 = inverse(sk_c11)
| ~ spl15_26
| ~ spl15_33 ),
inference(forward_demodulation,[],[f297,f336]) ).
fof(f297,plain,
( sk_c10 = inverse(inverse(sk_c10))
| ~ spl15_26 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f1418,plain,
( multiply(sk_c8,inverse(inverse(sk_c11))) = inverse(sk_c11)
| ~ spl15_13
| ~ spl15_51 ),
inference(backward_demodulation,[],[f645,f184]) ).
fof(f184,plain,
( sk_c11 = sF13
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f645,plain,
( inverse(sF13) = multiply(sk_c8,inverse(inverse(sF13)))
| ~ spl15_51 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f1449,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl15_1
| ~ spl15_14 ),
inference(forward_demodulation,[],[f1121,f192]) ).
fof(f192,plain,
( sk_c8 = sF10
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f1121,plain,
( sk_c8 = multiply(sF10,sk_c11)
| ~ spl15_1 ),
inference(backward_demodulation,[],[f406,f126]) ).
fof(f126,plain,
( sk_c11 = sF2
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f406,plain,
sk_c8 = multiply(sF10,sF2),
inference(forward_demodulation,[],[f393,f74]) ).
fof(f74,plain,
inverse(sk_c5) = sF10,
introduced(function_definition,[]) ).
fof(f393,plain,
sk_c8 = multiply(inverse(sk_c5),sF2),
inference(superposition,[],[f364,f60]) ).
fof(f60,plain,
multiply(sk_c5,sk_c8) = sF2,
introduced(function_definition,[]) ).
fof(f802,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f400,f192]) ).
fof(f400,plain,
sk_c5 = multiply(inverse(sF10),identity),
inference(superposition,[],[f364,f256]) ).
fof(f256,plain,
identity = multiply(sF10,sk_c5),
inference(superposition,[],[f2,f74]) ).
fof(f1459,plain,
( sk_c11 = multiply(sk_c5,sk_c10)
| ~ spl15_1
| ~ spl15_13
| ~ spl15_14
| ~ spl15_26
| ~ spl15_33
| ~ spl15_51 ),
inference(backward_demodulation,[],[f1158,f1450]) ).
fof(f1158,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl15_1 ),
inference(forward_demodulation,[],[f60,f126]) ).
fof(f82,plain,
multiply(sk_c4,sk_c10) = sF12,
introduced(function_definition,[]) ).
fof(f1426,plain,
( ~ spl15_1
| ~ spl15_14
| spl15_25 ),
inference(avatar_contradiction_clause,[],[f1425]) ).
fof(f1425,plain,
( $false
| ~ spl15_1
| ~ spl15_14
| spl15_25 ),
inference(subsumption_resolution,[],[f1424,f294]) ).
fof(f294,plain,
( identity != sk_c11
| spl15_25 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f1424,plain,
( identity = sk_c11
| ~ spl15_1
| ~ spl15_14 ),
inference(forward_demodulation,[],[f1422,f2]) ).
fof(f1422,plain,
( sk_c11 = multiply(inverse(sk_c8),sk_c8)
| ~ spl15_1
| ~ spl15_14 ),
inference(backward_demodulation,[],[f1416,f192]) ).
fof(f1416,plain,
( sk_c11 = multiply(inverse(sF10),sk_c8)
| ~ spl15_1 ),
inference(forward_demodulation,[],[f634,f126]) ).
fof(f634,plain,
sF2 = multiply(inverse(sF10),sk_c8),
inference(superposition,[],[f364,f406]) ).
fof(f1400,plain,
( spl15_34
| ~ spl15_8 ),
inference(avatar_split_clause,[],[f1118,f156,f340]) ).
fof(f340,plain,
( spl15_34
<=> sk_c11 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).
fof(f156,plain,
( spl15_8
<=> sk_c11 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f1118,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl15_8 ),
inference(forward_demodulation,[],[f96,f158]) ).
fof(f158,plain,
( sk_c11 = sF14
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f96,plain,
inverse(sk_c3) = sF14,
introduced(function_definition,[]) ).
fof(f1300,plain,
( ~ spl15_8
| spl15_9
| ~ spl15_24
| ~ spl15_28
| ~ spl15_38 ),
inference(avatar_contradiction_clause,[],[f1299]) ).
fof(f1299,plain,
( $false
| ~ spl15_8
| spl15_9
| ~ spl15_24
| ~ spl15_28
| ~ spl15_38 ),
inference(subsumption_resolution,[],[f1298,f1035]) ).
fof(f1035,plain,
( sk_c10 != sF6
| spl15_9
| ~ spl15_24 ),
inference(forward_demodulation,[],[f161,f280]) ).
fof(f280,plain,
( sk_c10 = sk_c9
| ~ spl15_24 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f161,plain,
( sk_c9 != sF6
| spl15_9 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl15_9
<=> sk_c9 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f1298,plain,
( sk_c10 = sF6
| ~ spl15_8
| ~ spl15_28
| ~ spl15_38 ),
inference(backward_demodulation,[],[f1297,f1223]) ).
fof(f1223,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl15_8
| ~ spl15_28
| ~ spl15_38 ),
inference(backward_demodulation,[],[f1101,f306]) ).
fof(f306,plain,
( sk_c10 = sk_c11
| ~ spl15_28 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f305,plain,
( spl15_28
<=> sk_c10 = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).
fof(f1101,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl15_8
| ~ spl15_38 ),
inference(forward_demodulation,[],[f1100,f158]) ).
fof(f1100,plain,
( ! [X0] : multiply(sF14,X0) = X0
| ~ spl15_38 ),
inference(forward_demodulation,[],[f1099,f1]) ).
fof(f1099,plain,
( ! [X0] : multiply(sF14,multiply(identity,X0)) = X0
| ~ spl15_38 ),
inference(forward_demodulation,[],[f368,f571]) ).
fof(f571,plain,
( identity = sk_c3
| ~ spl15_38 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f570,plain,
( spl15_38
<=> identity = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).
fof(f368,plain,
! [X0] : multiply(sF14,multiply(sk_c3,X0)) = X0,
inference(forward_demodulation,[],[f367,f1]) ).
fof(f367,plain,
! [X0] : multiply(identity,X0) = multiply(sF14,multiply(sk_c3,X0)),
inference(superposition,[],[f3,f254]) ).
fof(f254,plain,
identity = multiply(sF14,sk_c3),
inference(superposition,[],[f2,f96]) ).
fof(f1297,plain,
( sF6 = multiply(sk_c10,sk_c10)
| ~ spl15_28 ),
inference(forward_demodulation,[],[f66,f306]) ).
fof(f66,plain,
multiply(sk_c10,sk_c11) = sF6,
introduced(function_definition,[]) ).
fof(f1228,plain,
( spl15_27
| ~ spl15_28
| ~ spl15_32 ),
inference(avatar_split_clause,[],[f1218,f330,f305,f301]) ).
fof(f301,plain,
( spl15_27
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).
fof(f330,plain,
( spl15_32
<=> sk_c11 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).
fof(f1218,plain,
( sk_c10 = inverse(identity)
| ~ spl15_28
| ~ spl15_32 ),
inference(backward_demodulation,[],[f331,f306]) ).
fof(f331,plain,
( sk_c11 = inverse(identity)
| ~ spl15_32 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f1178,plain,
( spl15_28
| ~ spl15_4
| ~ spl15_38 ),
inference(avatar_split_clause,[],[f1177,f570,f137,f305]) ).
fof(f137,plain,
( spl15_4
<=> sk_c10 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f1177,plain,
( sk_c10 = sk_c11
| ~ spl15_4
| ~ spl15_38 ),
inference(backward_demodulation,[],[f1164,f139]) ).
fof(f139,plain,
( sk_c10 = sF5
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f1164,plain,
( sk_c11 = sF5
| ~ spl15_38 ),
inference(forward_demodulation,[],[f1163,f1]) ).
fof(f1163,plain,
( multiply(identity,sk_c11) = sF5
| ~ spl15_38 ),
inference(forward_demodulation,[],[f64,f571]) ).
fof(f64,plain,
multiply(sk_c3,sk_c11) = sF5,
introduced(function_definition,[]) ).
fof(f1078,plain,
( ~ spl15_4
| spl15_21
| ~ spl15_25
| ~ spl15_38 ),
inference(avatar_contradiction_clause,[],[f1077]) ).
fof(f1077,plain,
( $false
| ~ spl15_4
| spl15_21
| ~ spl15_25
| ~ spl15_38 ),
inference(subsumption_resolution,[],[f1076,f268]) ).
fof(f268,plain,
( identity != sk_c10
| spl15_21 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f1076,plain,
( identity = sk_c10
| ~ spl15_4
| ~ spl15_25
| ~ spl15_38 ),
inference(forward_demodulation,[],[f139,f1022]) ).
fof(f1022,plain,
( identity = sF5
| ~ spl15_25
| ~ spl15_38 ),
inference(forward_demodulation,[],[f1021,f1]) ).
fof(f1021,plain,
( multiply(identity,identity) = sF5
| ~ spl15_25
| ~ spl15_38 ),
inference(forward_demodulation,[],[f1020,f571]) ).
fof(f1020,plain,
( multiply(sk_c3,identity) = sF5
| ~ spl15_25 ),
inference(forward_demodulation,[],[f64,f293]) ).
fof(f995,plain,
( ~ spl15_21
| ~ spl15_25
| spl15_28 ),
inference(avatar_split_clause,[],[f994,f305,f292,f266]) ).
fof(f994,plain,
( identity != sk_c10
| ~ spl15_25
| spl15_28 ),
inference(forward_demodulation,[],[f307,f293]) ).
fof(f307,plain,
( sk_c10 != sk_c11
| spl15_28 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f932,plain,
( ~ spl15_8
| ~ spl15_21
| ~ spl15_25
| spl15_33
| ~ spl15_38 ),
inference(avatar_contradiction_clause,[],[f931]) ).
fof(f931,plain,
( $false
| ~ spl15_8
| ~ spl15_21
| ~ spl15_25
| spl15_33
| ~ spl15_38 ),
inference(subsumption_resolution,[],[f930,f293]) ).
fof(f930,plain,
( identity != sk_c11
| ~ spl15_8
| ~ spl15_21
| ~ spl15_25
| spl15_33
| ~ spl15_38 ),
inference(forward_demodulation,[],[f929,f884]) ).
fof(f884,plain,
( identity = inverse(identity)
| ~ spl15_8
| ~ spl15_25
| ~ spl15_38 ),
inference(backward_demodulation,[],[f743,f571]) ).
fof(f743,plain,
( identity = inverse(sk_c3)
| ~ spl15_8
| ~ spl15_25 ),
inference(backward_demodulation,[],[f96,f738]) ).
fof(f738,plain,
( identity = sF14
| ~ spl15_8
| ~ spl15_25 ),
inference(forward_demodulation,[],[f158,f293]) ).
fof(f929,plain,
( sk_c11 != inverse(identity)
| ~ spl15_21
| spl15_33 ),
inference(forward_demodulation,[],[f337,f267]) ).
fof(f337,plain,
( sk_c11 != inverse(sk_c10)
| spl15_33 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f890,plain,
( ~ spl15_8
| ~ spl15_25
| spl15_32
| ~ spl15_38 ),
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f889,plain,
( $false
| ~ spl15_8
| ~ spl15_25
| spl15_32
| ~ spl15_38 ),
inference(subsumption_resolution,[],[f888,f293]) ).
fof(f888,plain,
( identity != sk_c11
| ~ spl15_8
| ~ spl15_25
| spl15_32
| ~ spl15_38 ),
inference(forward_demodulation,[],[f332,f884]) ).
fof(f332,plain,
( sk_c11 != inverse(identity)
| spl15_32 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f872,plain,
( ~ spl15_5
| ~ spl15_6
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21
| spl15_51 ),
inference(avatar_contradiction_clause,[],[f871]) ).
fof(f871,plain,
( $false
| ~ spl15_5
| ~ spl15_6
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21
| spl15_51 ),
inference(subsumption_resolution,[],[f826,f836]) ).
fof(f836,plain,
( sk_c5 != multiply(sk_c8,sk_c8)
| ~ spl15_6
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21
| spl15_51 ),
inference(forward_demodulation,[],[f780,f808]) ).
fof(f808,plain,
( sk_c5 = sk_c6
| ~ spl15_6
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21 ),
inference(backward_demodulation,[],[f778,f807]) ).
fof(f807,plain,
( sk_c5 = multiply(sk_c6,identity)
| ~ spl15_6
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21 ),
inference(forward_demodulation,[],[f802,f776]) ).
fof(f776,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl15_6
| ~ spl15_15
| ~ spl15_21 ),
inference(forward_demodulation,[],[f759,f768]) ).
fof(f768,plain,
( sk_c8 = sk_c7
| ~ spl15_6
| ~ spl15_15
| ~ spl15_21 ),
inference(forward_demodulation,[],[f767,f662]) ).
fof(f662,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl15_21 ),
inference(backward_demodulation,[],[f455,f659]) ).
fof(f659,plain,
( sk_c8 = sF13
| ~ spl15_21 ),
inference(forward_demodulation,[],[f655,f386]) ).
fof(f386,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f364,f2]) ).
fof(f655,plain,
( multiply(inverse(inverse(sk_c8)),identity) = sF13
| ~ spl15_21 ),
inference(superposition,[],[f364,f467]) ).
fof(f467,plain,
( identity = multiply(inverse(sk_c8),sF13)
| ~ spl15_21 ),
inference(backward_demodulation,[],[f394,f267]) ).
fof(f394,plain,
sk_c10 = multiply(inverse(sk_c8),sF13),
inference(superposition,[],[f364,f87]) ).
fof(f87,plain,
multiply(sk_c8,sk_c10) = sF13,
introduced(function_definition,[]) ).
fof(f455,plain,
( multiply(sk_c8,identity) = sF13
| ~ spl15_21 ),
inference(backward_demodulation,[],[f87,f267]) ).
fof(f767,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl15_6
| ~ spl15_15 ),
inference(forward_demodulation,[],[f762,f737]) ).
fof(f737,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl15_15 ),
inference(backward_demodulation,[],[f72,f197]) ).
fof(f197,plain,
( sk_c8 = sF9
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl15_15
<=> sk_c8 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f72,plain,
inverse(sk_c6) = sF9,
introduced(function_definition,[]) ).
fof(f762,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl15_6 ),
inference(backward_demodulation,[],[f398,f149]) ).
fof(f149,plain,
( sk_c6 = sF0
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl15_6
<=> sk_c6 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f398,plain,
sk_c7 = multiply(inverse(sF0),identity),
inference(superposition,[],[f364,f257]) ).
fof(f257,plain,
identity = multiply(sF0,sk_c7),
inference(superposition,[],[f2,f57]) ).
fof(f57,plain,
inverse(sk_c7) = sF0,
introduced(function_definition,[]) ).
fof(f759,plain,
( inverse(sk_c7) = sk_c6
| ~ spl15_6 ),
inference(backward_demodulation,[],[f57,f149]) ).
fof(f778,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl15_6
| ~ spl15_15
| ~ spl15_21 ),
inference(backward_demodulation,[],[f734,f776]) ).
fof(f734,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl15_15 ),
inference(backward_demodulation,[],[f399,f197]) ).
fof(f399,plain,
sk_c6 = multiply(inverse(sF9),identity),
inference(superposition,[],[f364,f258]) ).
fof(f258,plain,
identity = multiply(sF9,sk_c6),
inference(superposition,[],[f2,f72]) ).
fof(f780,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| ~ spl15_6
| ~ spl15_15
| ~ spl15_21
| spl15_51 ),
inference(forward_demodulation,[],[f779,f737]) ).
fof(f779,plain,
( sk_c6 != multiply(sk_c8,inverse(sk_c6))
| ~ spl15_6
| ~ spl15_15
| ~ spl15_21
| spl15_51 ),
inference(backward_demodulation,[],[f660,f776]) ).
fof(f660,plain,
( inverse(sk_c8) != multiply(sk_c8,inverse(inverse(sk_c8)))
| ~ spl15_21
| spl15_51 ),
inference(backward_demodulation,[],[f646,f659]) ).
fof(f646,plain,
( inverse(sF13) != multiply(sk_c8,inverse(inverse(sF13)))
| spl15_51 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f826,plain,
( sk_c5 = multiply(sk_c8,sk_c8)
| ~ spl15_5
| ~ spl15_6
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21 ),
inference(backward_demodulation,[],[f769,f822]) ).
fof(f822,plain,
( sk_c5 = sF7
| ~ spl15_5
| ~ spl15_6
| ~ spl15_14
| ~ spl15_15
| ~ spl15_21 ),
inference(forward_demodulation,[],[f144,f808]) ).
fof(f144,plain,
( sk_c6 = sF7
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl15_5
<=> sk_c6 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f769,plain,
( sF7 = multiply(sk_c8,sk_c8)
| ~ spl15_6
| ~ spl15_15
| ~ spl15_21 ),
inference(backward_demodulation,[],[f67,f768]) ).
fof(f67,plain,
multiply(sk_c7,sk_c8) = sF7,
introduced(function_definition,[]) ).
fof(f861,plain,
( spl15_38
| ~ spl15_8
| ~ spl15_25 ),
inference(avatar_split_clause,[],[f745,f292,f156,f570]) ).
fof(f745,plain,
( identity = sk_c3
| ~ spl15_8
| ~ spl15_25 ),
inference(forward_demodulation,[],[f740,f2]) ).
fof(f740,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl15_8
| ~ spl15_25 ),
inference(backward_demodulation,[],[f402,f738]) ).
fof(f402,plain,
sk_c3 = multiply(inverse(sF14),identity),
inference(superposition,[],[f364,f254]) ).
fof(f797,plain,
( ~ spl15_21
| spl15_23
| ~ spl15_24
| ~ spl15_25
| ~ spl15_32 ),
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f796,plain,
( $false
| ~ spl15_21
| spl15_23
| ~ spl15_24
| ~ spl15_25
| ~ spl15_32 ),
inference(subsumption_resolution,[],[f795,f461]) ).
fof(f461,plain,
( identity = sk_c9
| ~ spl15_21
| ~ spl15_24 ),
inference(backward_demodulation,[],[f280,f267]) ).
fof(f795,plain,
( identity != sk_c9
| spl15_23
| ~ spl15_25
| ~ spl15_32 ),
inference(forward_demodulation,[],[f277,f498]) ).
fof(f498,plain,
( identity = inverse(identity)
| ~ spl15_25
| ~ spl15_32 ),
inference(forward_demodulation,[],[f331,f293]) ).
fof(f277,plain,
( sk_c9 != inverse(identity)
| spl15_23 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f275,plain,
( spl15_23
<=> sk_c9 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).
fof(f703,plain,
( ~ spl15_20
| ~ spl15_21
| ~ spl15_24
| ~ spl15_25
| ~ spl15_32 ),
inference(avatar_contradiction_clause,[],[f702]) ).
fof(f702,plain,
( $false
| ~ spl15_20
| ~ spl15_21
| ~ spl15_24
| ~ spl15_25
| ~ spl15_32 ),
inference(subsumption_resolution,[],[f697,f498]) ).
fof(f697,plain,
( identity != inverse(identity)
| ~ spl15_20
| ~ spl15_21
| ~ spl15_24 ),
inference(trivial_inequality_removal,[],[f691]) ).
fof(f691,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl15_20
| ~ spl15_21
| ~ spl15_24 ),
inference(superposition,[],[f690,f1]) ).
fof(f690,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl15_20
| ~ spl15_21
| ~ spl15_24 ),
inference(forward_demodulation,[],[f689,f461]) ).
fof(f689,plain,
( ! [X6] :
( sk_c9 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl15_20
| ~ spl15_21 ),
inference(forward_demodulation,[],[f688,f267]) ).
fof(f688,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| identity != inverse(X6) )
| ~ spl15_20
| ~ spl15_21 ),
inference(forward_demodulation,[],[f214,f267]) ).
fof(f214,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
| ~ spl15_20 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl15_20
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).
fof(f687,plain,
( ~ spl15_19
| ~ spl15_21
| ~ spl15_25
| ~ spl15_32 ),
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f686,plain,
( $false
| ~ spl15_19
| ~ spl15_21
| ~ spl15_25
| ~ spl15_32 ),
inference(subsumption_resolution,[],[f672,f498]) ).
fof(f672,plain,
( identity != inverse(identity)
| ~ spl15_19
| ~ spl15_21
| ~ spl15_25
| ~ spl15_32 ),
inference(trivial_inequality_removal,[],[f666]) ).
fof(f666,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl15_19
| ~ spl15_21
| ~ spl15_25
| ~ spl15_32 ),
inference(superposition,[],[f560,f1]) ).
fof(f560,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl15_19
| ~ spl15_21
| ~ spl15_25
| ~ spl15_32 ),
inference(forward_demodulation,[],[f559,f498]) ).
fof(f559,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| inverse(X0) != inverse(identity) )
| ~ spl15_19
| ~ spl15_21
| ~ spl15_25
| ~ spl15_32 ),
inference(forward_demodulation,[],[f558,f498]) ).
fof(f558,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| inverse(X0) != inverse(identity) )
| ~ spl15_19
| ~ spl15_21
| ~ spl15_25
| ~ spl15_32 ),
inference(forward_demodulation,[],[f557,f498]) ).
fof(f557,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(identity)) )
| ~ spl15_19
| ~ spl15_21
| ~ spl15_25
| ~ spl15_32 ),
inference(subsumption_resolution,[],[f556,f498]) ).
fof(f556,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(identity))
| identity != inverse(identity) )
| ~ spl15_19
| ~ spl15_21
| ~ spl15_25
| ~ spl15_32 ),
inference(forward_demodulation,[],[f555,f498]) ).
fof(f555,plain,
( ! [X0] :
( inverse(inverse(identity)) != inverse(identity)
| inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(identity)) )
| ~ spl15_19
| ~ spl15_21
| ~ spl15_25
| ~ spl15_32 ),
inference(forward_demodulation,[],[f554,f498]) ).
fof(f554,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| inverse(X0) != inverse(inverse(identity))
| inverse(inverse(identity)) != inverse(identity) )
| ~ spl15_19
| ~ spl15_21
| ~ spl15_25 ),
inference(subsumption_resolution,[],[f552,f386]) ).
fof(f552,plain,
( ! [X0] :
( inverse(inverse(identity)) != inverse(identity)
| identity != multiply(inverse(inverse(identity)),identity)
| inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl15_19
| ~ spl15_21
| ~ spl15_25 ),
inference(superposition,[],[f505,f1]) ).
fof(f505,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| identity != multiply(inverse(inverse(X9)),identity)
| identity != multiply(X7,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl15_19
| ~ spl15_21
| ~ spl15_25 ),
inference(forward_demodulation,[],[f504,f293]) ).
fof(f504,plain,
( ! [X9,X7] :
( sk_c11 != multiply(inverse(inverse(X9)),identity)
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| identity != multiply(X7,inverse(inverse(X9))) )
| ~ spl15_19
| ~ spl15_21
| ~ spl15_25 ),
inference(forward_demodulation,[],[f503,f267]) ).
fof(f503,plain,
( ! [X9,X7] :
( identity != multiply(X7,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(inverse(X9))) )
| ~ spl15_19
| ~ spl15_25 ),
inference(forward_demodulation,[],[f211,f293]) ).
fof(f211,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| inverse(X9) != multiply(X9,inverse(inverse(X9))) )
| ~ spl15_19 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl15_19
<=> ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(X7,inverse(inverse(X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f507,plain,
( ~ spl15_21
| ~ spl15_25
| ~ spl15_28
| ~ spl15_32
| spl15_33 ),
inference(avatar_contradiction_clause,[],[f506]) ).
fof(f506,plain,
( $false
| ~ spl15_21
| ~ spl15_25
| ~ spl15_28
| ~ spl15_32
| spl15_33 ),
inference(subsumption_resolution,[],[f478,f498]) ).
fof(f478,plain,
( identity != inverse(identity)
| ~ spl15_21
| ~ spl15_28
| spl15_33 ),
inference(backward_demodulation,[],[f441,f267]) ).
fof(f441,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl15_28
| spl15_33 ),
inference(backward_demodulation,[],[f337,f306]) ).
fof(f502,plain,
( ~ spl15_21
| ~ spl15_25
| spl15_26
| ~ spl15_32 ),
inference(avatar_contradiction_clause,[],[f501]) ).
fof(f501,plain,
( $false
| ~ spl15_21
| ~ spl15_25
| spl15_26
| ~ spl15_32 ),
inference(subsumption_resolution,[],[f499,f498]) ).
fof(f499,plain,
( identity != inverse(identity)
| ~ spl15_21
| ~ spl15_25
| spl15_26
| ~ spl15_32 ),
inference(backward_demodulation,[],[f462,f498]) ).
fof(f462,plain,
( identity != inverse(inverse(identity))
| ~ spl15_21
| spl15_26 ),
inference(backward_demodulation,[],[f298,f267]) ).
fof(f298,plain,
( sk_c10 != inverse(inverse(sk_c10))
| spl15_26 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f492,plain,
( ~ spl15_7
| ~ spl15_21
| ~ spl15_25
| spl15_32 ),
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f491,plain,
( $false
| ~ spl15_7
| ~ spl15_21
| ~ spl15_25
| spl15_32 ),
inference(subsumption_resolution,[],[f490,f451]) ).
fof(f451,plain,
( identity != inverse(identity)
| ~ spl15_25
| spl15_32 ),
inference(forward_demodulation,[],[f332,f293]) ).
fof(f490,plain,
( identity = inverse(identity)
| ~ spl15_7
| ~ spl15_21 ),
inference(forward_demodulation,[],[f459,f482]) ).
fof(f482,plain,
( identity = sk_c1
| ~ spl15_7
| ~ spl15_21 ),
inference(forward_demodulation,[],[f466,f2]) ).
fof(f466,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl15_7
| ~ spl15_21 ),
inference(backward_demodulation,[],[f389,f267]) ).
fof(f389,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl15_7 ),
inference(superposition,[],[f364,f259]) ).
fof(f259,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl15_7 ),
inference(superposition,[],[f2,f253]) ).
fof(f253,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl15_7 ),
inference(backward_demodulation,[],[f58,f153]) ).
fof(f153,plain,
( sk_c10 = sF1
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl15_7
<=> sk_c10 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f58,plain,
inverse(sk_c1) = sF1,
introduced(function_definition,[]) ).
fof(f459,plain,
( identity = inverse(sk_c1)
| ~ spl15_7
| ~ spl15_21 ),
inference(backward_demodulation,[],[f253,f267]) ).
fof(f453,plain,
( spl15_21
| ~ spl15_2
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_24
| ~ spl15_25 ),
inference(avatar_split_clause,[],[f452,f292,f279,f175,f151,f133,f128,f266]) ).
fof(f128,plain,
( spl15_2
<=> sk_c11 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f133,plain,
( spl15_3
<=> sk_c10 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f175,plain,
( spl15_12
<=> sk_c9 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f452,plain,
( identity = sk_c10
| ~ spl15_2
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_24
| ~ spl15_25 ),
inference(forward_demodulation,[],[f432,f293]) ).
fof(f432,plain,
( sk_c10 = sk_c11
| ~ spl15_2
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_24 ),
inference(backward_demodulation,[],[f252,f430]) ).
fof(f430,plain,
( sk_c10 = multiply(sk_c1,sk_c10)
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_24 ),
inference(backward_demodulation,[],[f416,f426]) ).
fof(f426,plain,
( sk_c1 = sk_c2
| ~ spl15_7
| ~ spl15_12
| ~ spl15_24 ),
inference(forward_demodulation,[],[f422,f389]) ).
fof(f422,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl15_12
| ~ spl15_24 ),
inference(backward_demodulation,[],[f390,f280]) ).
fof(f390,plain,
( sk_c2 = multiply(inverse(sk_c9),identity)
| ~ spl15_12 ),
inference(superposition,[],[f364,f260]) ).
fof(f260,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl15_12 ),
inference(superposition,[],[f2,f250]) ).
fof(f250,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl15_12 ),
inference(backward_demodulation,[],[f61,f177]) ).
fof(f177,plain,
( sk_c9 = sF3
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f61,plain,
inverse(sk_c2) = sF3,
introduced(function_definition,[]) ).
fof(f416,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl15_3
| ~ spl15_24 ),
inference(backward_demodulation,[],[f251,f280]) ).
fof(f251,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| ~ spl15_3 ),
inference(backward_demodulation,[],[f63,f135]) ).
fof(f135,plain,
( sk_c10 = sF4
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f63,plain,
multiply(sk_c2,sk_c9) = sF4,
introduced(function_definition,[]) ).
fof(f252,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl15_2 ),
inference(backward_demodulation,[],[f70,f130]) ).
fof(f130,plain,
( sk_c11 = sF8
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f70,plain,
multiply(sk_c1,sk_c10) = sF8,
introduced(function_definition,[]) ).
fof(f425,plain,
( spl15_25
| ~ spl15_9
| ~ spl15_24 ),
inference(avatar_split_clause,[],[f424,f279,f160,f292]) ).
fof(f424,plain,
( identity = sk_c11
| ~ spl15_9
| ~ spl15_24 ),
inference(forward_demodulation,[],[f421,f2]) ).
fof(f421,plain,
( sk_c11 = multiply(inverse(sk_c10),sk_c10)
| ~ spl15_9
| ~ spl15_24 ),
inference(backward_demodulation,[],[f388,f280]) ).
fof(f388,plain,
( sk_c11 = multiply(inverse(sk_c10),sk_c9)
| ~ spl15_9 ),
inference(superposition,[],[f364,f249]) ).
fof(f249,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| ~ spl15_9 ),
inference(backward_demodulation,[],[f66,f162]) ).
fof(f162,plain,
( sk_c9 = sF6
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f409,plain,
( spl15_24
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f408,f160,f151,f128,f279]) ).
fof(f408,plain,
( sk_c10 = sk_c9
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9 ),
inference(backward_demodulation,[],[f249,f407]) ).
fof(f407,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl15_2
| ~ spl15_7 ),
inference(forward_demodulation,[],[f396,f253]) ).
fof(f396,plain,
( sk_c10 = multiply(inverse(sk_c1),sk_c11)
| ~ spl15_2 ),
inference(superposition,[],[f364,f252]) ).
fof(f343,plain,
( ~ spl15_4
| ~ spl15_34
| ~ spl15_18 ),
inference(avatar_split_clause,[],[f328,f207,f340,f137]) ).
fof(f207,plain,
( spl15_18
<=> ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f328,plain,
( sk_c11 != inverse(sk_c3)
| sk_c10 != sF5
| ~ spl15_18 ),
inference(superposition,[],[f208,f64]) ).
fof(f208,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) )
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f333,plain,
( ~ spl15_28
| ~ spl15_32
| ~ spl15_18 ),
inference(avatar_split_clause,[],[f325,f207,f330,f305]) ).
fof(f325,plain,
( sk_c11 != inverse(identity)
| sk_c10 != sk_c11
| ~ spl15_18 ),
inference(superposition,[],[f208,f1]) ).
fof(f310,plain,
( ~ spl15_2
| ~ spl15_7
| ~ spl15_17 ),
inference(avatar_contradiction_clause,[],[f309]) ).
fof(f309,plain,
( $false
| ~ spl15_2
| ~ spl15_7
| ~ spl15_17 ),
inference(subsumption_resolution,[],[f290,f253]) ).
fof(f290,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl15_2
| ~ spl15_17 ),
inference(trivial_inequality_removal,[],[f289]) ).
fof(f289,plain,
( sk_c11 != sk_c11
| sk_c10 != inverse(sk_c1)
| ~ spl15_2
| ~ spl15_17 ),
inference(superposition,[],[f205,f252]) ).
fof(f205,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl15_17
<=> ! [X3] :
( sk_c10 != inverse(X3)
| sk_c11 != multiply(X3,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f308,plain,
( ~ spl15_27
| ~ spl15_28
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f285,f204,f305,f301]) ).
fof(f285,plain,
( sk_c10 != sk_c11
| sk_c10 != inverse(identity)
| ~ spl15_17 ),
inference(superposition,[],[f205,f1]) ).
fof(f299,plain,
( ~ spl15_25
| ~ spl15_26
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f286,f204,f296,f292]) ).
fof(f286,plain,
( sk_c10 != inverse(inverse(sk_c10))
| identity != sk_c11
| ~ spl15_17 ),
inference(superposition,[],[f205,f2]) ).
fof(f282,plain,
( ~ spl15_23
| ~ spl15_24
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f261,f201,f279,f275]) ).
fof(f201,plain,
( spl15_16
<=> ! [X4] :
( sk_c10 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f261,plain,
( sk_c10 != sk_c9
| sk_c9 != inverse(identity)
| ~ spl15_16 ),
inference(superposition,[],[f202,f1]) ).
fof(f202,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f248,plain,
( spl15_7
| spl15_15 ),
inference(avatar_split_clause,[],[f85,f195,f151]) ).
fof(f85,plain,
( sk_c8 = sF9
| sk_c10 = sF1 ),
inference(definition_folding,[],[f32,f58,f72]) ).
fof(f32,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f246,plain,
( spl15_5
| spl15_9 ),
inference(avatar_split_clause,[],[f68,f160,f142]) ).
fof(f68,plain,
( sk_c9 = sF6
| sk_c6 = sF7 ),
inference(definition_folding,[],[f13,f67,f66]) ).
fof(f13,axiom,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f244,plain,
( spl15_15
| spl15_2 ),
inference(avatar_split_clause,[],[f81,f128,f195]) ).
fof(f81,plain,
( sk_c11 = sF8
| sk_c8 = sF9 ),
inference(definition_folding,[],[f22,f70,f72]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f243,plain,
( spl15_8
| spl15_3 ),
inference(avatar_split_clause,[],[f120,f133,f156]) ).
fof(f120,plain,
( sk_c10 = sF4
| sk_c11 = sF14 ),
inference(definition_folding,[],[f35,f63,f96]) ).
fof(f35,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f242,plain,
( spl15_4
| spl15_2 ),
inference(avatar_split_clause,[],[f121,f128,f137]) ).
fof(f121,plain,
( sk_c11 = sF8
| sk_c10 = sF5 ),
inference(definition_folding,[],[f14,f70,f64]) ).
fof(f14,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f239,plain,
( spl15_7
| spl15_10 ),
inference(avatar_split_clause,[],[f83,f165,f151]) ).
fof(f83,plain,
( sk_c9 = sF12
| sk_c10 = sF1 ),
inference(definition_folding,[],[f26,f58,f82]) ).
fof(f26,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f238,plain,
( spl15_10
| spl15_9 ),
inference(avatar_split_clause,[],[f100,f160,f165]) ).
fof(f100,plain,
( sk_c9 = sF6
| sk_c9 = sF12 ),
inference(definition_folding,[],[f6,f66,f82]) ).
fof(f6,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f235,plain,
( spl15_13
| spl15_9 ),
inference(avatar_split_clause,[],[f89,f160,f182]) ).
fof(f89,plain,
( sk_c9 = sF6
| sk_c11 = sF13 ),
inference(definition_folding,[],[f10,f87,f66]) ).
fof(f10,axiom,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f234,plain,
( spl15_8
| spl15_2 ),
inference(avatar_split_clause,[],[f106,f128,f156]) ).
fof(f106,plain,
( sk_c11 = sF8
| sk_c11 = sF14 ),
inference(definition_folding,[],[f15,f70,f96]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f232,plain,
( spl15_4
| spl15_7 ),
inference(avatar_split_clause,[],[f111,f151,f137]) ).
fof(f111,plain,
( sk_c10 = sF1
| sk_c10 = sF5 ),
inference(definition_folding,[],[f24,f64,f58]) ).
fof(f24,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f231,plain,
( spl15_7
| spl15_14 ),
inference(avatar_split_clause,[],[f92,f190,f151]) ).
fof(f92,plain,
( sk_c8 = sF10
| sk_c10 = sF1 ),
inference(definition_folding,[],[f29,f58,f74]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f229,plain,
( spl15_2
| spl15_5 ),
inference(avatar_split_clause,[],[f78,f142,f128]) ).
fof(f78,plain,
( sk_c6 = sF7
| sk_c11 = sF8 ),
inference(definition_folding,[],[f23,f70,f67]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f228,plain,
( spl15_11
| spl15_7 ),
inference(avatar_split_clause,[],[f95,f151,f170]) ).
fof(f95,plain,
( sk_c10 = sF1
| sk_c10 = sF11 ),
inference(definition_folding,[],[f27,f58,f79]) ).
fof(f27,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f227,plain,
( spl15_11
| spl15_2 ),
inference(avatar_split_clause,[],[f117,f128,f170]) ).
fof(f117,plain,
( sk_c11 = sF8
| sk_c10 = sF11 ),
inference(definition_folding,[],[f17,f79,f70]) ).
fof(f17,axiom,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f226,plain,
( spl15_9
| spl15_4 ),
inference(avatar_split_clause,[],[f99,f137,f160]) ).
fof(f99,plain,
( sk_c10 = sF5
| sk_c9 = sF6 ),
inference(definition_folding,[],[f4,f64,f66]) ).
fof(f4,axiom,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f225,plain,
( spl15_6
| spl15_2 ),
inference(avatar_split_clause,[],[f84,f128,f147]) ).
fof(f84,plain,
( sk_c11 = sF8
| sk_c6 = sF0 ),
inference(definition_folding,[],[f21,f70,f57]) ).
fof(f21,axiom,
( inverse(sk_c7) = sk_c6
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f224,plain,
( spl15_5
| spl15_7 ),
inference(avatar_split_clause,[],[f77,f151,f142]) ).
fof(f77,plain,
( sk_c10 = sF1
| sk_c6 = sF7 ),
inference(definition_folding,[],[f33,f58,f67]) ).
fof(f33,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f223,plain,
( spl15_12
| spl15_8 ),
inference(avatar_split_clause,[],[f103,f156,f175]) ).
fof(f103,plain,
( sk_c11 = sF14
| sk_c9 = sF3 ),
inference(definition_folding,[],[f45,f96,f61]) ).
fof(f45,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f222,plain,
( spl15_9
| spl15_6 ),
inference(avatar_split_clause,[],[f118,f147,f160]) ).
fof(f118,plain,
( sk_c6 = sF0
| sk_c9 = sF6 ),
inference(definition_folding,[],[f11,f57,f66]) ).
fof(f11,axiom,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f219,plain,
( spl15_14
| spl15_2 ),
inference(avatar_split_clause,[],[f75,f128,f190]) ).
fof(f75,plain,
( sk_c11 = sF8
| sk_c8 = sF10 ),
inference(definition_folding,[],[f19,f74,f70]) ).
fof(f19,axiom,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f218,plain,
( spl15_9
| spl15_1 ),
inference(avatar_split_clause,[],[f104,f124,f160]) ).
fof(f104,plain,
( sk_c11 = sF2
| sk_c9 = sF6 ),
inference(definition_folding,[],[f8,f60,f66]) ).
fof(f8,axiom,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f215,plain,
( spl15_16
| spl15_17
| spl15_18
| spl15_19
| ~ spl15_9
| spl15_20 ),
inference(avatar_split_clause,[],[f110,f213,f160,f210,f207,f204,f201]) ).
fof(f110,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X6)
| sk_c9 != sF6
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| sk_c11 != inverse(X5)
| sk_c10 != inverse(X3)
| inverse(X7) != inverse(inverse(X9))
| sk_c10 != multiply(X4,sk_c9)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| sk_c9 != inverse(X4)
| sk_c11 != multiply(X3,sk_c10) ),
inference(definition_folding,[],[f56,f66]) ).
fof(f56,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11)
| multiply(sk_c10,sk_c11) != sk_c9
| sk_c11 != multiply(X3,sk_c10)
| sk_c10 != multiply(X4,sk_c9)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != inverse(X4)
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| sk_c10 != inverse(X3)
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| sk_c10 != inverse(X6)
| inverse(X7) != inverse(inverse(X9)) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X10,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11)
| multiply(sk_c10,sk_c11) != sk_c9
| sk_c11 != multiply(X3,sk_c10)
| sk_c10 != multiply(X4,sk_c9)
| sk_c9 != multiply(X6,sk_c10)
| inverse(X9) != X10
| sk_c9 != inverse(X4)
| sk_c11 != multiply(inverse(X10),sk_c10)
| sk_c10 != inverse(X3)
| multiply(X9,inverse(X10)) != X10
| sk_c11 != multiply(X7,inverse(X10))
| sk_c10 != inverse(X6)
| inverse(X7) != inverse(X10) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11)
| multiply(sk_c10,sk_c11) != sk_c9
| sk_c11 != multiply(X3,sk_c10)
| inverse(X10) != X8
| sk_c10 != multiply(X4,sk_c9)
| sk_c9 != multiply(X6,sk_c10)
| inverse(X9) != X10
| sk_c9 != inverse(X4)
| sk_c11 != multiply(X8,sk_c10)
| sk_c10 != inverse(X3)
| multiply(X9,X8) != X10
| sk_c11 != multiply(X7,X8)
| sk_c10 != inverse(X6)
| inverse(X7) != X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f199,plain,
( spl15_13
| spl15_2 ),
inference(avatar_split_clause,[],[f90,f128,f182]) ).
fof(f90,plain,
( sk_c11 = sF8
| sk_c11 = sF13 ),
inference(definition_folding,[],[f20,f87,f70]) ).
fof(f20,axiom,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f198,plain,
( spl15_15
| spl15_9 ),
inference(avatar_split_clause,[],[f76,f160,f195]) ).
fof(f76,plain,
( sk_c9 = sF6
| sk_c8 = sF9 ),
inference(definition_folding,[],[f12,f66,f72]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c6)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f193,plain,
( spl15_9
| spl15_14 ),
inference(avatar_split_clause,[],[f113,f190,f160]) ).
fof(f113,plain,
( sk_c8 = sF10
| sk_c9 = sF6 ),
inference(definition_folding,[],[f9,f74,f66]) ).
fof(f9,axiom,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f188,plain,
( spl15_11
| spl15_9 ),
inference(avatar_split_clause,[],[f80,f160,f170]) ).
fof(f80,plain,
( sk_c9 = sF6
| sk_c10 = sF11 ),
inference(definition_folding,[],[f7,f66,f79]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f187,plain,
( spl15_8
| spl15_7 ),
inference(avatar_split_clause,[],[f109,f151,f156]) ).
fof(f109,plain,
( sk_c10 = sF1
| sk_c11 = sF14 ),
inference(definition_folding,[],[f25,f58,f96]) ).
fof(f25,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f185,plain,
( spl15_7
| spl15_13 ),
inference(avatar_split_clause,[],[f91,f182,f151]) ).
fof(f91,plain,
( sk_c11 = sF13
| sk_c10 = sF1 ),
inference(definition_folding,[],[f30,f58,f87]) ).
fof(f30,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f180,plain,
( spl15_7
| spl15_1 ),
inference(avatar_split_clause,[],[f107,f124,f151]) ).
fof(f107,plain,
( sk_c11 = sF2
| sk_c10 = sF1 ),
inference(definition_folding,[],[f28,f58,f60]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f179,plain,
( spl15_12
| spl15_4 ),
inference(avatar_split_clause,[],[f102,f137,f175]) ).
fof(f102,plain,
( sk_c10 = sF5
| sk_c9 = sF3 ),
inference(definition_folding,[],[f44,f61,f64]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f168,plain,
( spl15_2
| spl15_10 ),
inference(avatar_split_clause,[],[f114,f165,f128]) ).
fof(f114,plain,
( sk_c9 = sF12
| sk_c11 = sF8 ),
inference(definition_folding,[],[f16,f82,f70]) ).
fof(f16,axiom,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c9 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f163,plain,
( spl15_8
| spl15_9 ),
inference(avatar_split_clause,[],[f97,f160,f156]) ).
fof(f97,plain,
( sk_c9 = sF6
| sk_c11 = sF14 ),
inference(definition_folding,[],[f5,f66,f96]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f154,plain,
( spl15_6
| spl15_7 ),
inference(avatar_split_clause,[],[f59,f151,f147]) ).
fof(f59,plain,
( sk_c10 = sF1
| sk_c6 = sF0 ),
inference(definition_folding,[],[f31,f58,f57]) ).
fof(f31,axiom,
( inverse(sk_c7) = sk_c6
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f140,plain,
( spl15_3
| spl15_4 ),
inference(avatar_split_clause,[],[f65,f137,f133]) ).
fof(f65,plain,
( sk_c10 = sF5
| sk_c10 = sF4 ),
inference(definition_folding,[],[f34,f64,f63]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f131,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f71,f128,f124]) ).
fof(f71,plain,
( sk_c11 = sF8
| sk_c11 = sF2 ),
inference(definition_folding,[],[f18,f60,f70]) ).
fof(f18,axiom,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP330-1 : 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_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:47:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.50 % (29260)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)
% 0.18/0.50 % (29247)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)
% 0.18/0.50 % (29248)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)
% 0.18/0.50 % (29244)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)
% 0.18/0.51 % (29237)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)
% 0.18/0.51 % (29252)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)
% 0.18/0.51 % (29252)Instruction limit reached!
% 0.18/0.51 % (29252)------------------------------
% 0.18/0.51 % (29252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (29244)Instruction limit reached!
% 0.18/0.51 % (29244)------------------------------
% 0.18/0.51 % (29244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (29252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (29252)Termination reason: Unknown
% 0.18/0.51 % (29252)Termination phase: Equality proxy
% 0.18/0.51
% 0.18/0.51 % (29252)Memory used [KB]: 1279
% 0.18/0.51 % (29252)Time elapsed: 0.003 s
% 0.18/0.51 % (29252)Instructions burned: 2 (million)
% 0.18/0.51 % (29252)------------------------------
% 0.18/0.51 % (29252)------------------------------
% 0.18/0.51 % (29244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (29244)Termination reason: Unknown
% 0.18/0.51 % (29244)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (29244)Memory used [KB]: 5884
% 0.18/0.51 % (29244)Time elapsed: 0.004 s
% 0.18/0.51 % (29244)Instructions burned: 3 (million)
% 0.18/0.51 % (29244)------------------------------
% 0.18/0.51 % (29244)------------------------------
% 0.18/0.51 % (29243)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)
% 0.18/0.52 % (29236)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.52 % (29239)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)
% 0.18/0.52 % (29238)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)
% 0.18/0.52 % (29240)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)
% 0.18/0.52 % (29258)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)
% 0.18/0.52 % (29241)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.52 % (29238)Instruction limit reached!
% 0.18/0.52 % (29238)------------------------------
% 0.18/0.52 % (29238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (29238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (29238)Termination reason: Unknown
% 0.18/0.52 % (29238)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (29238)Memory used [KB]: 5884
% 0.18/0.52 % (29238)Time elapsed: 0.004 s
% 0.18/0.52 % (29238)Instructions burned: 6 (million)
% 0.18/0.52 % (29238)------------------------------
% 0.18/0.52 % (29238)------------------------------
% 0.18/0.52 % (29249)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)
% 0.18/0.52 % (29249)Instruction limit reached!
% 0.18/0.52 % (29249)------------------------------
% 0.18/0.52 % (29249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (29249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (29249)Termination reason: Unknown
% 0.18/0.52 % (29249)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (29249)Memory used [KB]: 5756
% 0.18/0.52 % (29249)Time elapsed: 0.004 s
% 0.18/0.52 % (29249)Instructions burned: 3 (million)
% 0.18/0.52 % (29249)------------------------------
% 0.18/0.52 % (29249)------------------------------
% 0.18/0.52 % (29245)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)
% 0.18/0.52 % (29248)Instruction limit reached!
% 0.18/0.52 % (29248)------------------------------
% 0.18/0.52 % (29248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (29248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (29248)Termination reason: Unknown
% 0.18/0.52 % (29248)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (29248)Memory used [KB]: 6012
% 0.18/0.52 % (29248)Time elapsed: 0.136 s
% 0.18/0.52 % (29248)Instructions burned: 6 (million)
% 0.18/0.52 % (29248)------------------------------
% 0.18/0.52 % (29248)------------------------------
% 0.18/0.53 % (29253)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.53 % (29250)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)
% 0.18/0.53 % (29263)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)
% 0.18/0.53 % (29265)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)
% 0.18/0.53 % (29257)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)
% 0.18/0.53 % (29251)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)
% 0.18/0.53 % (29259)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)
% 0.18/0.53 % (29262)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)
% 0.18/0.53 % (29246)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)
% 0.18/0.53 % (29262)Refutation not found, incomplete strategy% (29262)------------------------------
% 0.18/0.53 % (29262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (29262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (29262)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53
% 0.18/0.53 % (29262)Memory used [KB]: 6012
% 0.18/0.53 % (29262)Time elapsed: 0.151 s
% 0.18/0.53 % (29262)Instructions burned: 6 (million)
% 0.18/0.53 % (29262)------------------------------
% 0.18/0.53 % (29262)------------------------------
% 0.18/0.53 % (29255)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)
% 0.18/0.53 % (29246)Instruction limit reached!
% 0.18/0.53 % (29246)------------------------------
% 0.18/0.53 % (29246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (29246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (29246)Termination reason: Unknown
% 0.18/0.53 % (29246)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (29246)Memory used [KB]: 6012
% 0.18/0.53 % (29246)Time elapsed: 0.149 s
% 0.18/0.53 % (29246)Instructions burned: 7 (million)
% 0.18/0.53 % (29246)------------------------------
% 0.18/0.53 % (29246)------------------------------
% 0.18/0.53 % (29254)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)
% 0.18/0.54 % (29261)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)
% 0.18/0.54 % (29242)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)
% 0.18/0.54 % (29255)Instruction limit reached!
% 0.18/0.54 % (29255)------------------------------
% 0.18/0.54 % (29255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (29255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (29255)Termination reason: Unknown
% 0.18/0.54 % (29255)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (29255)Memory used [KB]: 6012
% 0.18/0.54 % (29255)Time elapsed: 0.152 s
% 0.18/0.54 % (29255)Instructions burned: 8 (million)
% 0.18/0.54 % (29255)------------------------------
% 0.18/0.54 % (29255)------------------------------
% 0.18/0.54 % (29251)Instruction limit reached!
% 0.18/0.54 % (29251)------------------------------
% 0.18/0.54 % (29251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (29264)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)
% 0.18/0.54 % (29259)Refutation not found, incomplete strategy% (29259)------------------------------
% 0.18/0.54 % (29259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (29251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (29251)Termination reason: Unknown
% 0.18/0.54 % (29251)Termination phase: Finite model building preprocessing
% 0.18/0.54
% 0.18/0.54 % (29251)Memory used [KB]: 1407
% 0.18/0.54 % (29251)Time elapsed: 0.011 s
% 0.18/0.54 % (29251)Instructions burned: 7 (million)
% 0.18/0.54 % (29251)------------------------------
% 0.18/0.54 % (29251)------------------------------
% 0.18/0.54 % (29256)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)
% 0.18/0.54 % (29259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (29259)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54
% 0.18/0.54 % (29259)Memory used [KB]: 5884
% 0.18/0.54 % (29259)Time elapsed: 0.135 s
% 0.18/0.54 % (29259)Instructions burned: 6 (million)
% 0.18/0.54 % (29259)------------------------------
% 0.18/0.54 % (29259)------------------------------
% 0.18/0.54 % (29256)Instruction limit reached!
% 0.18/0.54 % (29256)------------------------------
% 0.18/0.54 % (29256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (29256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (29256)Termination reason: Unknown
% 0.18/0.54 % (29256)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (29256)Memory used [KB]: 1407
% 0.18/0.54 % (29256)Time elapsed: 0.004 s
% 0.18/0.54 % (29256)Instructions burned: 6 (million)
% 0.18/0.54 % (29256)------------------------------
% 0.18/0.54 % (29256)------------------------------
% 0.18/0.54 % (29260)Instruction limit reached!
% 0.18/0.54 % (29260)------------------------------
% 0.18/0.54 % (29260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (29260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (29260)Termination reason: Unknown
% 0.18/0.54 % (29260)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (29260)Memory used [KB]: 6908
% 0.18/0.54 % (29260)Time elapsed: 0.143 s
% 0.18/0.54 % (29260)Instructions burned: 46 (million)
% 0.18/0.54 % (29260)------------------------------
% 0.18/0.54 % (29260)------------------------------
% 0.18/0.55 % (29253)Instruction limit reached!
% 0.18/0.55 % (29253)------------------------------
% 0.18/0.55 % (29253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (29253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (29253)Termination reason: Unknown
% 0.18/0.55 % (29253)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (29253)Memory used [KB]: 6012
% 0.18/0.55 % (29253)Time elapsed: 0.167 s
% 0.18/0.55 % (29253)Instructions burned: 9 (million)
% 0.18/0.55 % (29253)------------------------------
% 0.18/0.55 % (29253)------------------------------
% 0.18/0.55 % (29247)Instruction limit reached!
% 0.18/0.55 % (29247)------------------------------
% 0.18/0.55 % (29247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (29247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (29247)Termination reason: Unknown
% 0.18/0.55 % (29247)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (29247)Memory used [KB]: 6268
% 0.18/0.55 % (29247)Time elapsed: 0.167 s
% 0.18/0.55 % (29247)Instructions burned: 24 (million)
% 0.18/0.55 % (29247)------------------------------
% 0.18/0.55 % (29247)------------------------------
% 0.18/0.56 % (29241)Instruction limit reached!
% 0.18/0.56 % (29241)------------------------------
% 0.18/0.56 % (29241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (29241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (29241)Termination reason: Unknown
% 0.18/0.56 % (29241)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (29241)Memory used [KB]: 6140
% 0.18/0.56 % (29241)Time elapsed: 0.168 s
% 0.18/0.56 % (29241)Instructions burned: 25 (million)
% 0.18/0.56 % (29241)------------------------------
% 0.18/0.56 % (29241)------------------------------
% 0.18/0.56 % (29254)Instruction limit reached!
% 0.18/0.56 % (29254)------------------------------
% 0.18/0.56 % (29254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (29254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (29254)Termination reason: Unknown
% 0.18/0.56 % (29254)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (29254)Memory used [KB]: 11001
% 0.18/0.56 % (29254)Time elapsed: 0.186 s
% 0.18/0.56 % (29254)Instructions burned: 28 (million)
% 0.18/0.56 % (29254)------------------------------
% 0.18/0.56 % (29254)------------------------------
% 0.18/0.57 % (29237)Instruction limit reached!
% 0.18/0.57 % (29237)------------------------------
% 0.18/0.57 % (29237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (29237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (29237)Termination reason: Unknown
% 0.18/0.57 % (29237)Termination phase: Saturation
% 0.18/0.57
% 0.18/0.57 % (29240)Instruction limit reached!
% 0.18/0.57 % (29240)------------------------------
% 0.18/0.57 % (29240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (29240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (29240)Termination reason: Unknown
% 0.18/0.57 % (29240)Termination phase: Saturation
% 0.18/0.57
% 0.18/0.57 % (29240)Memory used [KB]: 6524
% 0.18/0.57 % (29240)Time elapsed: 0.180 s
% 0.18/0.57 % (29240)Instructions burned: 34 (million)
% 0.18/0.57 % (29240)------------------------------
% 0.18/0.57 % (29240)------------------------------
% 0.18/0.57 % (29264)Instruction limit reached!
% 0.18/0.57 % (29264)------------------------------
% 0.18/0.57 % (29264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (29264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (29264)Termination reason: Unknown
% 0.18/0.57 % (29264)Termination phase: Saturation
% 0.18/0.57
% 0.18/0.57 % (29264)Memory used [KB]: 6268
% 0.18/0.57 % (29264)Time elapsed: 0.163 s
% 0.18/0.57 % (29264)Instructions burned: 22 (million)
% 0.18/0.57 % (29264)------------------------------
% 0.18/0.57 % (29264)------------------------------
% 0.18/0.58 % (29250)Instruction limit reached!
% 0.18/0.58 % (29250)------------------------------
% 0.18/0.58 % (29250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (29250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58 % (29250)Termination reason: Unknown
% 0.18/0.58 % (29250)Termination phase: Saturation
% 0.18/0.58
% 0.18/0.58 % (29250)Memory used [KB]: 1663
% 0.18/0.58 % (29250)Time elapsed: 0.137 s
% 0.18/0.58 % (29250)Instructions burned: 30 (million)
% 0.18/0.58 % (29250)------------------------------
% 0.18/0.58 % (29250)------------------------------
% 0.18/0.58 % (29243)Instruction limit reached!
% 0.18/0.58 % (29243)------------------------------
% 0.18/0.58 % (29243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (29243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58 % (29243)Termination reason: Unknown
% 0.18/0.58 % (29243)Termination phase: Saturation
% 0.18/0.58
% 0.18/0.58 % (29243)Memory used [KB]: 6908
% 0.18/0.58 % (29243)Time elapsed: 0.166 s
% 0.18/0.58 % (29243)Instructions burned: 51 (million)
% 0.18/0.58 % (29243)------------------------------
% 0.18/0.58 % (29243)------------------------------
% 0.18/0.59 % (29239)Instruction limit reached!
% 0.18/0.59 % (29239)------------------------------
% 0.18/0.59 % (29239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.59 % (29239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.59 % (29239)Termination reason: Unknown
% 0.18/0.59 % (29239)Termination phase: Saturation
% 0.18/0.59
% 0.18/0.59 % (29239)Memory used [KB]: 6652
% 0.18/0.59 % (29239)Time elapsed: 0.183 s
% 0.18/0.59 % (29239)Instructions burned: 43 (million)
% 0.18/0.59 % (29239)------------------------------
% 0.18/0.59 % (29239)------------------------------
% 0.18/0.59 % (29237)Memory used [KB]: 1663
% 0.18/0.59 % (29237)Time elapsed: 0.179 s
% 0.18/0.59 % (29237)Instructions burned: 42 (million)
% 0.18/0.59 % (29237)------------------------------
% 0.18/0.59 % (29237)------------------------------
% 0.18/0.59 % (29236)First to succeed.
% 1.99/0.60 % (29236)Refutation found. Thanks to Tanya!
% 1.99/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.99/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.99/0.60 % (29236)------------------------------
% 1.99/0.60 % (29236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.60 % (29236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.60 % (29236)Termination reason: Refutation
% 1.99/0.60
% 1.99/0.60 % (29236)Memory used [KB]: 6652
% 1.99/0.60 % (29236)Time elapsed: 0.171 s
% 1.99/0.60 % (29236)Instructions burned: 46 (million)
% 1.99/0.60 % (29236)------------------------------
% 1.99/0.60 % (29236)------------------------------
% 1.99/0.60 % (29235)Success in time 0.265 s
%------------------------------------------------------------------------------