TSTP Solution File: GRP271-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP271-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n011.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 16:15:07 EDT 2022
% Result : Unsatisfiable 3.07s 0.87s
% Output : Refutation 3.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 96
% Syntax : Number of formulae : 593 ( 52 unt; 0 def)
% Number of atoms : 2228 ( 709 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 3158 (1523 ~;1601 |; 0 &)
% ( 34 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 35 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 27 con; 0-2 aty)
% Number of variables : 139 ( 139 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5327,plain,
$false,
inference(avatar_sat_refutation,[],[f131,f140,f149,f154,f159,f169,f174,f175,f176,f181,f186,f193,f194,f195,f197,f202,f203,f204,f209,f210,f215,f216,f217,f218,f219,f222,f223,f224,f225,f226,f227,f228,f229,f230,f231,f232,f233,f234,f235,f236,f237,f238,f239,f242,f440,f498,f541,f651,f895,f1070,f1215,f1299,f1409,f1450,f1568,f2053,f2286,f2309,f2733,f2777,f3912,f4000,f4570,f4596,f4600,f4628,f4641,f4649,f4653,f4831,f4881,f4999,f5325]) ).
fof(f5325,plain,
( ~ spl15_1
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13
| ~ spl15_22
| ~ spl15_23
| ~ spl15_24
| ~ spl15_31
| ~ spl15_36 ),
inference(avatar_contradiction_clause,[],[f5324]) ).
fof(f5324,plain,
( $false
| ~ spl15_1
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13
| ~ spl15_22
| ~ spl15_23
| ~ spl15_24
| ~ spl15_31
| ~ spl15_36 ),
inference(subsumption_resolution,[],[f5323,f5034]) ).
fof(f5034,plain,
( identity = inverse(identity)
| ~ spl15_24
| ~ spl15_36 ),
inference(forward_demodulation,[],[f1207,f1487]) ).
fof(f1487,plain,
( identity = sk_c11
| ~ spl15_36 ),
inference(avatar_component_clause,[],[f1486]) ).
fof(f1486,plain,
( spl15_36
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_36])]) ).
fof(f1207,plain,
( sk_c11 = inverse(identity)
| ~ spl15_24 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f1206,plain,
( spl15_24
<=> sk_c11 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).
fof(f5323,plain,
( identity != inverse(identity)
| ~ spl15_1
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13
| ~ spl15_22
| ~ spl15_23
| ~ spl15_24
| ~ spl15_31
| ~ spl15_36 ),
inference(forward_demodulation,[],[f5322,f5034]) ).
fof(f5322,plain,
( identity != inverse(inverse(identity))
| ~ spl15_1
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13
| ~ spl15_22
| ~ spl15_23
| ~ spl15_24
| ~ spl15_31
| ~ spl15_36 ),
inference(subsumption_resolution,[],[f5297,f5034]) ).
fof(f5297,plain,
( identity != inverse(inverse(identity))
| identity != inverse(identity)
| ~ spl15_1
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13
| ~ spl15_22
| ~ spl15_23
| ~ spl15_24
| ~ spl15_31
| ~ spl15_36 ),
inference(superposition,[],[f5296,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f5296,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl15_1
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13
| ~ spl15_22
| ~ spl15_23
| ~ spl15_24
| ~ spl15_31
| ~ spl15_36 ),
inference(subsumption_resolution,[],[f5295,f1]) ).
fof(f5295,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(identity,identity)
| identity != inverse(inverse(X0)) )
| ~ spl15_1
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13
| ~ spl15_22
| ~ spl15_23
| ~ spl15_24
| ~ spl15_31
| ~ spl15_36 ),
inference(forward_demodulation,[],[f5294,f5085]) ).
fof(f5085,plain,
( identity = sk_c1
| ~ spl15_1
| ~ spl15_6
| ~ spl15_13
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f5084,f1]) ).
fof(f5084,plain,
( sk_c1 = multiply(identity,identity)
| ~ spl15_1
| ~ spl15_6
| ~ spl15_13
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f4841,f544]) ).
fof(f544,plain,
( identity = sk_c2
| ~ spl15_23 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f543,plain,
( spl15_23
<=> identity = sk_c2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).
fof(f4841,plain,
( sk_c1 = multiply(sk_c2,identity)
| ~ spl15_1
| ~ spl15_6
| ~ spl15_13
| ~ spl15_22 ),
inference(superposition,[],[f4691,f4181]) ).
fof(f4181,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl15_6 ),
inference(backward_demodulation,[],[f253,f148]) ).
fof(f148,plain,
( sk_c11 = sF8
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl15_6
<=> sk_c11 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f253,plain,
identity = multiply(sF8,sk_c1),
inference(superposition,[],[f2,f71]) ).
fof(f71,plain,
inverse(sk_c1) = sF8,
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f4691,plain,
( ! [X15] : multiply(sk_c2,multiply(sk_c11,X15)) = X15
| ~ spl15_1
| ~ spl15_13
| ~ spl15_22 ),
inference(backward_demodulation,[],[f4688,f4690]) ).
fof(f4690,plain,
( ! [X9] : multiply(sk_c11,X9) = multiply(sk_c10,X9)
| ~ spl15_1
| ~ spl15_13
| ~ spl15_22 ),
inference(forward_demodulation,[],[f4689,f1]) ).
fof(f4689,plain,
( ! [X9] : multiply(sk_c11,multiply(identity,X9)) = multiply(sk_c10,X9)
| ~ spl15_1
| ~ spl15_13
| ~ spl15_22 ),
inference(forward_demodulation,[],[f964,f3840]) ).
fof(f3840,plain,
( identity = sk_c9
| ~ spl15_13
| ~ spl15_22 ),
inference(forward_demodulation,[],[f180,f514]) ).
fof(f514,plain,
( identity = sF7
| ~ spl15_22 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f513,plain,
( spl15_22
<=> identity = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).
fof(f180,plain,
( sk_c9 = sF7
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl15_13
<=> sk_c9 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f964,plain,
( ! [X9] : multiply(sk_c11,multiply(sk_c9,X9)) = multiply(sk_c10,X9)
| ~ spl15_1 ),
inference(backward_demodulation,[],[f264,f126]) ).
fof(f126,plain,
( sk_c10 = sF3
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl15_1
<=> sk_c10 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f264,plain,
! [X9] : multiply(sk_c11,multiply(sk_c9,X9)) = multiply(sF3,X9),
inference(superposition,[],[f3,f62]) ).
fof(f62,plain,
multiply(sk_c11,sk_c9) = sF3,
introduced(function_definition,[]) ).
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(f4688,plain,
( ! [X15] : multiply(sk_c2,multiply(sk_c10,X15)) = X15
| ~ spl15_22 ),
inference(forward_demodulation,[],[f4006,f1]) ).
fof(f4006,plain,
( ! [X15] : multiply(identity,X15) = multiply(sk_c2,multiply(sk_c10,X15))
| ~ spl15_22 ),
inference(forward_demodulation,[],[f270,f514]) ).
fof(f270,plain,
! [X15] : multiply(sk_c2,multiply(sk_c10,X15)) = multiply(sF7,X15),
inference(superposition,[],[f3,f69]) ).
fof(f69,plain,
multiply(sk_c2,sk_c10) = sF7,
introduced(function_definition,[]) ).
fof(f5294,plain,
( ! [X0] :
( identity != multiply(sk_c1,identity)
| identity != inverse(inverse(X0))
| inverse(X0) != multiply(X0,identity) )
| ~ spl15_1
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13
| ~ spl15_22
| ~ spl15_24
| ~ spl15_31
| ~ spl15_36 ),
inference(forward_demodulation,[],[f5293,f1487]) ).
fof(f5293,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c1,sk_c11)
| inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl15_1
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13
| ~ spl15_22
| ~ spl15_24
| ~ spl15_31
| ~ spl15_36 ),
inference(subsumption_resolution,[],[f5292,f1]) ).
fof(f5292,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c1,sk_c11)
| inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0))
| identity != multiply(identity,identity) )
| ~ spl15_1
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13
| ~ spl15_22
| ~ spl15_24
| ~ spl15_31
| ~ spl15_36 ),
inference(forward_demodulation,[],[f5291,f1487]) ).
fof(f5291,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,identity)
| inverse(X0) != multiply(X0,identity)
| sk_c11 != multiply(sk_c1,sk_c11)
| identity != inverse(inverse(X0)) )
| ~ spl15_1
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13
| ~ spl15_22
| ~ spl15_24
| ~ spl15_31
| ~ spl15_36 ),
inference(forward_demodulation,[],[f5290,f5046]) ).
fof(f5046,plain,
( identity = sk_c10
| ~ spl15_1
| ~ spl15_13
| ~ spl15_22
| ~ spl15_24
| ~ spl15_31
| ~ spl15_36 ),
inference(forward_demodulation,[],[f5045,f1487]) ).
fof(f5045,plain,
( sk_c11 = sk_c10
| ~ spl15_1
| ~ spl15_13
| ~ spl15_22
| ~ spl15_24
| ~ spl15_31 ),
inference(forward_demodulation,[],[f4837,f4894]) ).
fof(f4894,plain,
( ! [X0] : multiply(inverse(sk_c10),X0) = X0
| ~ spl15_1
| ~ spl15_13
| ~ spl15_22
| ~ spl15_24 ),
inference(backward_demodulation,[],[f4827,f4886]) ).
fof(f4886,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl15_24 ),
inference(backward_demodulation,[],[f298,f1207]) ).
fof(f298,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f271,f1]) ).
fof(f271,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f262,f1]) ).
fof(f262,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f4827,plain,
( ! [X0] : multiply(inverse(sk_c10),multiply(sk_c11,X0)) = X0
| ~ spl15_1
| ~ spl15_13
| ~ spl15_22 ),
inference(superposition,[],[f271,f4690]) ).
fof(f4837,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c11)
| ~ spl15_31 ),
inference(superposition,[],[f271,f1307]) ).
fof(f1307,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| ~ spl15_31 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f1306,plain,
( spl15_31
<=> sk_c11 = multiply(sk_c10,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).
fof(f5290,plain,
( ! [X0] :
( identity != inverse(inverse(X0))
| inverse(X0) != multiply(X0,identity)
| sk_c11 != multiply(sk_c11,sk_c10)
| sk_c11 != multiply(sk_c1,sk_c11) )
| ~ spl15_6
| ~ spl15_11
| ~ spl15_36 ),
inference(forward_demodulation,[],[f5289,f1487]) ).
fof(f5289,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| identity != inverse(inverse(X0))
| sk_c11 != multiply(sk_c1,sk_c11)
| sk_c11 != multiply(sk_c11,sk_c10) )
| ~ spl15_6
| ~ spl15_11
| ~ spl15_36 ),
inference(forward_demodulation,[],[f4754,f1487]) ).
fof(f4754,plain,
( ! [X0] :
( sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != multiply(sk_c11,sk_c10)
| sk_c11 != multiply(sk_c1,sk_c11) )
| ~ spl15_6
| ~ spl15_11 ),
inference(superposition,[],[f168,f4221]) ).
fof(f4221,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl15_6 ),
inference(forward_demodulation,[],[f71,f148]) ).
fof(f168,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c11 != multiply(X7,inverse(X7))
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl15_11
<=> ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10)
| inverse(X7) != inverse(inverse(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f4999,plain,
( spl15_36
| ~ spl15_14
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f4998,f206,f183,f1486]) ).
fof(f183,plain,
( spl15_14
<=> sk_c8 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f206,plain,
( spl15_17
<=> sk_c11 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f4998,plain,
( identity = sk_c11
| ~ spl15_14
| ~ spl15_17 ),
inference(forward_demodulation,[],[f208,f4566]) ).
fof(f4566,plain,
( identity = sF9
| ~ spl15_14 ),
inference(forward_demodulation,[],[f4563,f2]) ).
fof(f4563,plain,
( multiply(inverse(sk_c8),sk_c8) = sF9
| ~ spl15_14 ),
inference(backward_demodulation,[],[f1922,f185]) ).
fof(f185,plain,
( sk_c8 = sF10
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f1922,plain,
multiply(inverse(sF10),sk_c8) = sF9,
inference(superposition,[],[f271,f1873]) ).
fof(f1873,plain,
sk_c8 = multiply(sF10,sF9),
inference(backward_demodulation,[],[f854,f76]) ).
fof(f76,plain,
inverse(sk_c5) = sF10,
introduced(function_definition,[]) ).
fof(f854,plain,
sk_c8 = multiply(inverse(sk_c5),sF9),
inference(superposition,[],[f271,f73]) ).
fof(f73,plain,
multiply(sk_c5,sk_c8) = sF9,
introduced(function_definition,[]) ).
fof(f208,plain,
( sk_c11 = sF9
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f4881,plain,
( ~ spl15_4
| ~ spl15_6
| spl15_19 ),
inference(avatar_contradiction_clause,[],[f4880]) ).
fof(f4880,plain,
( $false
| ~ spl15_4
| ~ spl15_6
| spl15_19 ),
inference(subsumption_resolution,[],[f4879,f4725]) ).
fof(f4725,plain,
( identity != sk_c10
| ~ spl15_4
| spl15_19 ),
inference(superposition,[],[f502,f139]) ).
fof(f139,plain,
( sk_c10 = sF0
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl15_4
<=> sk_c10 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f502,plain,
( identity != sF0
| spl15_19 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f500,plain,
( spl15_19
<=> identity = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f4879,plain,
( identity = sk_c10
| ~ spl15_4
| ~ spl15_6 ),
inference(forward_demodulation,[],[f4877,f2]) ).
fof(f4877,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl15_4
| ~ spl15_6 ),
inference(superposition,[],[f271,f4698]) ).
fof(f4698,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl15_4
| ~ spl15_6 ),
inference(backward_demodulation,[],[f4697,f139]) ).
fof(f4697,plain,
( sk_c11 = multiply(sk_c11,sF0)
| ~ spl15_6 ),
inference(forward_demodulation,[],[f378,f148]) ).
fof(f378,plain,
sk_c11 = multiply(sF8,sF0),
inference(forward_demodulation,[],[f302,f71]) ).
fof(f302,plain,
sk_c11 = multiply(inverse(sk_c1),sF0),
inference(superposition,[],[f271,f57]) ).
fof(f57,plain,
multiply(sk_c1,sk_c11) = sF0,
introduced(function_definition,[]) ).
fof(f4831,plain,
( ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_13
| ~ spl15_22
| spl15_31 ),
inference(avatar_contradiction_clause,[],[f4830]) ).
fof(f4830,plain,
( $false
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_13
| ~ spl15_22
| spl15_31 ),
inference(subsumption_resolution,[],[f4825,f4698]) ).
fof(f4825,plain,
( sk_c11 != multiply(sk_c11,sk_c10)
| ~ spl15_1
| ~ spl15_13
| ~ spl15_22
| spl15_31 ),
inference(superposition,[],[f1308,f4690]) ).
fof(f1308,plain,
( sk_c11 != multiply(sk_c10,sk_c10)
| spl15_31 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f4653,plain,
( ~ spl15_4
| ~ spl15_16
| ~ spl15_19
| spl15_23 ),
inference(avatar_contradiction_clause,[],[f4652]) ).
fof(f4652,plain,
( $false
| ~ spl15_4
| ~ spl15_16
| ~ spl15_19
| spl15_23 ),
inference(subsumption_resolution,[],[f4651,f545]) ).
fof(f545,plain,
( identity != sk_c2
| spl15_23 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f4651,plain,
( identity = sk_c2
| ~ spl15_4
| ~ spl15_16
| ~ spl15_19 ),
inference(forward_demodulation,[],[f4650,f2]) ).
fof(f4650,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl15_4
| ~ spl15_16
| ~ spl15_19 ),
inference(forward_demodulation,[],[f317,f4631]) ).
fof(f4631,plain,
( identity = sF6
| ~ spl15_4
| ~ spl15_16
| ~ spl15_19 ),
inference(forward_demodulation,[],[f201,f3799]) ).
fof(f3799,plain,
( identity = sk_c10
| ~ spl15_4
| ~ spl15_19 ),
inference(forward_demodulation,[],[f139,f501]) ).
fof(f501,plain,
( identity = sF0
| ~ spl15_19 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f201,plain,
( sk_c10 = sF6
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f199,plain,
( spl15_16
<=> sk_c10 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f317,plain,
sk_c2 = multiply(inverse(sF6),identity),
inference(superposition,[],[f271,f259]) ).
fof(f259,plain,
identity = multiply(sF6,sk_c2),
inference(superposition,[],[f2,f67]) ).
fof(f67,plain,
inverse(sk_c2) = sF6,
introduced(function_definition,[]) ).
fof(f4649,plain,
( spl15_24
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_13
| ~ spl15_19
| ~ spl15_22 ),
inference(avatar_split_clause,[],[f4647,f513,f500,f178,f146,f137,f124,f1206]) ).
fof(f4647,plain,
( sk_c11 = inverse(identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_13
| ~ spl15_19
| ~ spl15_22 ),
inference(backward_demodulation,[],[f4221,f4644]) ).
fof(f4644,plain,
( identity = sk_c1
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_13
| ~ spl15_19
| ~ spl15_22 ),
inference(forward_demodulation,[],[f4643,f3840]) ).
fof(f4643,plain,
( sk_c1 = sk_c9
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_19 ),
inference(forward_demodulation,[],[f4642,f4179]) ).
fof(f4179,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl15_6 ),
inference(backward_demodulation,[],[f318,f148]) ).
fof(f318,plain,
sk_c1 = multiply(inverse(sF8),identity),
inference(superposition,[],[f271,f253]) ).
fof(f4642,plain,
( sk_c9 = multiply(inverse(sk_c11),identity)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_19 ),
inference(forward_demodulation,[],[f963,f3799]) ).
fof(f963,plain,
( sk_c9 = multiply(inverse(sk_c11),sk_c10)
| ~ spl15_1 ),
inference(backward_demodulation,[],[f306,f126]) ).
fof(f306,plain,
sk_c9 = multiply(inverse(sk_c11),sF3),
inference(superposition,[],[f271,f62]) ).
fof(f4641,plain,
( spl15_21
| ~ spl15_4
| ~ spl15_16
| ~ spl15_19 ),
inference(avatar_split_clause,[],[f4640,f500,f199,f137,f509]) ).
fof(f509,plain,
( spl15_21
<=> identity = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
fof(f4640,plain,
( identity = inverse(sk_c2)
| ~ spl15_4
| ~ spl15_16
| ~ spl15_19 ),
inference(forward_demodulation,[],[f67,f4631]) ).
fof(f4628,plain,
( ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_13
| ~ spl15_19
| ~ spl15_22
| spl15_36 ),
inference(avatar_contradiction_clause,[],[f4627]) ).
fof(f4627,plain,
( $false
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_13
| ~ spl15_19
| ~ spl15_22
| spl15_36 ),
inference(subsumption_resolution,[],[f4626,f1488]) ).
fof(f1488,plain,
( identity != sk_c11
| spl15_36 ),
inference(avatar_component_clause,[],[f1486]) ).
fof(f4626,plain,
( identity = sk_c11
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_13
| ~ spl15_19
| ~ spl15_22 ),
inference(forward_demodulation,[],[f4215,f4605]) ).
fof(f4605,plain,
( ! [X9] : multiply(sk_c11,X9) = X9
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| ~ spl15_19
| ~ spl15_22 ),
inference(forward_demodulation,[],[f4604,f1]) ).
fof(f4604,plain,
( ! [X9] : multiply(sk_c11,multiply(identity,X9)) = X9
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| ~ spl15_19
| ~ spl15_22 ),
inference(forward_demodulation,[],[f4603,f3840]) ).
fof(f4603,plain,
( ! [X9] : multiply(sk_c11,multiply(sk_c9,X9)) = X9
| ~ spl15_1
| ~ spl15_4
| ~ spl15_19 ),
inference(forward_demodulation,[],[f4602,f1]) ).
fof(f4602,plain,
( ! [X9] : multiply(sk_c11,multiply(sk_c9,X9)) = multiply(identity,X9)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_19 ),
inference(forward_demodulation,[],[f964,f3799]) ).
fof(f4215,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl15_6
| ~ spl15_19 ),
inference(forward_demodulation,[],[f2096,f148]) ).
fof(f2096,plain,
( sk_c11 = multiply(sF8,identity)
| ~ spl15_19 ),
inference(forward_demodulation,[],[f378,f501]) ).
fof(f4600,plain,
( ~ spl15_8
| ~ spl15_14
| spl15_46 ),
inference(avatar_contradiction_clause,[],[f4599]) ).
fof(f4599,plain,
( $false
| ~ spl15_8
| ~ spl15_14
| spl15_46 ),
inference(subsumption_resolution,[],[f4580,f4572]) ).
fof(f4572,plain,
( identity != multiply(sk_c5,sk_c8)
| ~ spl15_8
| ~ spl15_14
| spl15_46 ),
inference(forward_demodulation,[],[f4571,f3613]) ).
fof(f3613,plain,
( sk_c5 = sk_c6
| ~ spl15_8
| ~ spl15_14 ),
inference(forward_demodulation,[],[f3612,f3594]) ).
fof(f3594,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f1759,f185]) ).
fof(f1759,plain,
sk_c5 = multiply(inverse(sF10),identity),
inference(superposition,[],[f271,f1706]) ).
fof(f1706,plain,
identity = multiply(sF10,sk_c5),
inference(superposition,[],[f2,f76]) ).
fof(f3612,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl15_8 ),
inference(forward_demodulation,[],[f1829,f158]) ).
fof(f158,plain,
( sk_c8 = sF4
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl15_8
<=> sk_c8 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f1829,plain,
sk_c6 = multiply(inverse(sF4),identity),
inference(superposition,[],[f271,f1807]) ).
fof(f1807,plain,
identity = multiply(sF4,sk_c6),
inference(superposition,[],[f2,f63]) ).
fof(f63,plain,
inverse(sk_c6) = sF4,
introduced(function_definition,[]) ).
fof(f4571,plain,
( identity != multiply(sk_c6,sk_c8)
| ~ spl15_8
| spl15_46 ),
inference(forward_demodulation,[],[f1811,f158]) ).
fof(f1811,plain,
( identity != multiply(sk_c6,sF4)
| spl15_46 ),
inference(avatar_component_clause,[],[f1809]) ).
fof(f1809,plain,
( spl15_46
<=> identity = multiply(sk_c6,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_46])]) ).
fof(f4580,plain,
( identity = multiply(sk_c5,sk_c8)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f73,f4566]) ).
fof(f4596,plain,
( ~ spl15_7
| ~ spl15_8
| ~ spl15_14
| spl15_46 ),
inference(avatar_contradiction_clause,[],[f4595]) ).
fof(f4595,plain,
( $false
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14
| spl15_46 ),
inference(subsumption_resolution,[],[f4590,f4572]) ).
fof(f4590,plain,
( identity = multiply(sk_c5,sk_c8)
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14 ),
inference(backward_demodulation,[],[f3617,f4585]) ).
fof(f4585,plain,
( sk_c8 = sk_c7
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14 ),
inference(backward_demodulation,[],[f3037,f4583]) ).
fof(f4583,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f4170,f4566]) ).
fof(f4170,plain,
( sk_c8 = multiply(sk_c8,sF9)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f1873,f185]) ).
fof(f3037,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl15_7
| ~ spl15_8 ),
inference(backward_demodulation,[],[f1828,f158]) ).
fof(f1828,plain,
( sk_c7 = multiply(sF4,identity)
| ~ spl15_7 ),
inference(forward_demodulation,[],[f1825,f63]) ).
fof(f1825,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl15_7 ),
inference(superposition,[],[f271,f1626]) ).
fof(f1626,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl15_7 ),
inference(forward_demodulation,[],[f847,f153]) ).
fof(f153,plain,
( sk_c6 = sF11
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl15_7
<=> sk_c6 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f847,plain,
identity = multiply(sF11,sk_c7),
inference(superposition,[],[f2,f78]) ).
fof(f78,plain,
inverse(sk_c7) = sF11,
introduced(function_definition,[]) ).
fof(f3617,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14 ),
inference(backward_demodulation,[],[f1626,f3613]) ).
fof(f4570,plain,
( ~ spl15_8
| ~ spl15_14
| spl15_42
| ~ spl15_46 ),
inference(avatar_contradiction_clause,[],[f4569]) ).
fof(f4569,plain,
( $false
| ~ spl15_8
| ~ spl15_14
| spl15_42
| ~ spl15_46 ),
inference(subsumption_resolution,[],[f4562,f3625]) ).
fof(f3625,plain,
( identity = multiply(sk_c5,sk_c8)
| ~ spl15_8
| ~ spl15_14
| ~ spl15_46 ),
inference(backward_demodulation,[],[f2102,f3613]) ).
fof(f2102,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl15_8
| ~ spl15_46 ),
inference(forward_demodulation,[],[f1810,f158]) ).
fof(f1810,plain,
( identity = multiply(sk_c6,sF4)
| ~ spl15_46 ),
inference(avatar_component_clause,[],[f1809]) ).
fof(f4562,plain,
( identity != multiply(sk_c5,sk_c8)
| ~ spl15_14
| spl15_42 ),
inference(backward_demodulation,[],[f1715,f185]) ).
fof(f1715,plain,
( identity != multiply(sk_c5,sF10)
| spl15_42 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f1713,plain,
( spl15_42
<=> identity = multiply(sk_c5,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_42])]) ).
fof(f4000,plain,
( ~ spl15_1
| ~ spl15_22
| ~ spl15_23
| spl15_30
| ~ spl15_36 ),
inference(avatar_contradiction_clause,[],[f3999]) ).
fof(f3999,plain,
( $false
| ~ spl15_1
| ~ spl15_22
| ~ spl15_23
| spl15_30
| ~ spl15_36 ),
inference(subsumption_resolution,[],[f3998,f1487]) ).
fof(f3998,plain,
( identity != sk_c11
| ~ spl15_1
| ~ spl15_22
| ~ spl15_23
| spl15_30
| ~ spl15_36 ),
inference(forward_demodulation,[],[f1304,f3943]) ).
fof(f3943,plain,
( identity = sk_c9
| ~ spl15_1
| ~ spl15_22
| ~ spl15_23
| ~ spl15_36 ),
inference(forward_demodulation,[],[f3942,f2]) ).
fof(f3942,plain,
( sk_c9 = multiply(inverse(identity),identity)
| ~ spl15_1
| ~ spl15_22
| ~ spl15_23
| ~ spl15_36 ),
inference(forward_demodulation,[],[f3941,f1487]) ).
fof(f3941,plain,
( sk_c9 = multiply(inverse(sk_c11),identity)
| ~ spl15_1
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f963,f3770]) ).
fof(f3770,plain,
( identity = sk_c10
| ~ spl15_22
| ~ spl15_23 ),
inference(backward_demodulation,[],[f3756,f514]) ).
fof(f3756,plain,
( sk_c10 = sF7
| ~ spl15_23 ),
inference(forward_demodulation,[],[f3748,f1]) ).
fof(f3748,plain,
( sF7 = multiply(identity,sk_c10)
| ~ spl15_23 ),
inference(backward_demodulation,[],[f69,f544]) ).
fof(f1304,plain,
( sk_c11 != sk_c9
| spl15_30 ),
inference(avatar_component_clause,[],[f1302]) ).
fof(f1302,plain,
( spl15_30
<=> sk_c11 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).
fof(f3912,plain,
( ~ spl15_9
| ~ spl15_21
| ~ spl15_22
| ~ spl15_23
| ~ spl15_30
| ~ spl15_36 ),
inference(avatar_contradiction_clause,[],[f3911]) ).
fof(f3911,plain,
( $false
| ~ spl15_9
| ~ spl15_21
| ~ spl15_22
| ~ spl15_23
| ~ spl15_30
| ~ spl15_36 ),
inference(subsumption_resolution,[],[f3850,f3835]) ).
fof(f3835,plain,
( identity = inverse(identity)
| ~ spl15_21
| ~ spl15_23 ),
inference(forward_demodulation,[],[f510,f544]) ).
fof(f510,plain,
( identity = inverse(sk_c2)
| ~ spl15_21 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f3850,plain,
( identity != inverse(identity)
| ~ spl15_9
| ~ spl15_22
| ~ spl15_23
| ~ spl15_30
| ~ spl15_36 ),
inference(trivial_inequality_removal,[],[f3847]) ).
fof(f3847,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl15_9
| ~ spl15_22
| ~ spl15_23
| ~ spl15_30
| ~ spl15_36 ),
inference(superposition,[],[f3822,f1]) ).
fof(f3822,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl15_9
| ~ spl15_22
| ~ spl15_23
| ~ spl15_30
| ~ spl15_36 ),
inference(backward_demodulation,[],[f3789,f1487]) ).
fof(f3789,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c11 != multiply(X4,identity) )
| ~ spl15_9
| ~ spl15_22
| ~ spl15_23
| ~ spl15_30 ),
inference(forward_demodulation,[],[f3781,f3770]) ).
fof(f3781,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c11 != multiply(X4,sk_c10) )
| ~ spl15_9
| ~ spl15_22
| ~ spl15_23
| ~ spl15_30 ),
inference(backward_demodulation,[],[f3744,f3770]) ).
fof(f3744,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c11 != multiply(X4,sk_c10) )
| ~ spl15_9
| ~ spl15_30 ),
inference(forward_demodulation,[],[f162,f1303]) ).
fof(f1303,plain,
( sk_c11 = sk_c9
| ~ spl15_30 ),
inference(avatar_component_clause,[],[f1302]) ).
fof(f162,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c10)
| sk_c10 != inverse(X4) )
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl15_9
<=> ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f2777,plain,
( ~ spl15_2
| ~ spl15_5
| spl15_25
| ~ spl15_36 ),
inference(avatar_contradiction_clause,[],[f2776]) ).
fof(f2776,plain,
( $false
| ~ spl15_2
| ~ spl15_5
| spl15_25
| ~ spl15_36 ),
inference(subsumption_resolution,[],[f2775,f1487]) ).
fof(f2775,plain,
( identity != sk_c11
| ~ spl15_2
| ~ spl15_5
| spl15_25
| ~ spl15_36 ),
inference(forward_demodulation,[],[f1212,f2196]) ).
fof(f2196,plain,
( identity = sk_c10
| ~ spl15_2
| ~ spl15_5
| ~ spl15_36 ),
inference(forward_demodulation,[],[f2195,f1]) ).
fof(f2195,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl15_2
| ~ spl15_5
| ~ spl15_36 ),
inference(forward_demodulation,[],[f2194,f2116]) ).
fof(f2116,plain,
( identity = sk_c3
| ~ spl15_5
| ~ spl15_36 ),
inference(forward_demodulation,[],[f2115,f2]) ).
fof(f2115,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl15_5
| ~ spl15_36 ),
inference(forward_demodulation,[],[f1339,f1487]) ).
fof(f1339,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl15_5 ),
inference(superposition,[],[f271,f1233]) ).
fof(f1233,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl15_5 ),
inference(backward_demodulation,[],[f1177,f144]) ).
fof(f144,plain,
( sk_c11 = sF14
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl15_5
<=> sk_c11 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f1177,plain,
identity = multiply(sF14,sk_c3),
inference(superposition,[],[f2,f88]) ).
fof(f88,plain,
inverse(sk_c3) = sF14,
introduced(function_definition,[]) ).
fof(f2194,plain,
( sk_c10 = multiply(sk_c3,identity)
| ~ spl15_2
| ~ spl15_36 ),
inference(forward_demodulation,[],[f1237,f1487]) ).
fof(f1237,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl15_2 ),
inference(backward_demodulation,[],[f58,f130]) ).
fof(f130,plain,
( sk_c10 = sF1
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl15_2
<=> sk_c10 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f58,plain,
multiply(sk_c3,sk_c11) = sF1,
introduced(function_definition,[]) ).
fof(f1212,plain,
( sk_c11 != sk_c10
| spl15_25 ),
inference(avatar_component_clause,[],[f1210]) ).
fof(f1210,plain,
( spl15_25
<=> sk_c11 = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).
fof(f2733,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_17
| ~ spl15_36
| spl15_49 ),
inference(avatar_contradiction_clause,[],[f2732]) ).
fof(f2732,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_17
| ~ spl15_36
| spl15_49 ),
inference(subsumption_resolution,[],[f2731,f1853]) ).
fof(f1853,plain,
( identity != sF10
| spl15_49 ),
inference(avatar_component_clause,[],[f1851]) ).
fof(f1851,plain,
( spl15_49
<=> identity = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_49])]) ).
fof(f2731,plain,
( identity = sF10
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_17
| ~ spl15_36 ),
inference(forward_demodulation,[],[f2728,f2118]) ).
fof(f2118,plain,
( identity = inverse(identity)
| ~ spl15_5
| ~ spl15_36 ),
inference(backward_demodulation,[],[f2109,f2116]) ).
fof(f2109,plain,
( identity = inverse(sk_c3)
| ~ spl15_5
| ~ spl15_36 ),
inference(forward_demodulation,[],[f1234,f1487]) ).
fof(f1234,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl15_5 ),
inference(backward_demodulation,[],[f88,f144]) ).
fof(f2728,plain,
( sF10 = inverse(identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_17
| ~ spl15_36 ),
inference(backward_demodulation,[],[f76,f2725]) ).
fof(f2725,plain,
( identity = sk_c5
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_17
| ~ spl15_36 ),
inference(forward_demodulation,[],[f1759,f2711]) ).
fof(f2711,plain,
( identity = multiply(inverse(sF10),identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_17
| ~ spl15_36 ),
inference(forward_demodulation,[],[f2215,f2707]) ).
fof(f2707,plain,
( identity = sk_c8
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_17
| ~ spl15_36 ),
inference(forward_demodulation,[],[f2385,f2553]) ).
fof(f2553,plain,
( ! [X0] : multiply(sF10,X0) = X0
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_17
| ~ spl15_36 ),
inference(backward_demodulation,[],[f2420,f2328]) ).
fof(f2328,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_36 ),
inference(forward_demodulation,[],[f2327,f1]) ).
fof(f2327,plain,
( ! [X0] : multiply(sk_c8,multiply(identity,X0)) = X0
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_36 ),
inference(forward_demodulation,[],[f2066,f2196]) ).
fof(f2066,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c10,X0)) = X0
| ~ spl15_3
| ~ spl15_36 ),
inference(forward_demodulation,[],[f2065,f1]) ).
fof(f2065,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c10,X0))
| ~ spl15_3
| ~ spl15_36 ),
inference(forward_demodulation,[],[f1239,f1487]) ).
fof(f1239,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,multiply(sk_c10,X0))
| ~ spl15_3 ),
inference(backward_demodulation,[],[f1195,f135]) ).
fof(f135,plain,
( sk_c11 = sF5
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl15_3
<=> sk_c11 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f1195,plain,
! [X0] : multiply(sF5,X0) = multiply(sk_c8,multiply(sk_c10,X0)),
inference(superposition,[],[f3,f65]) ).
fof(f65,plain,
multiply(sk_c8,sk_c10) = sF5,
introduced(function_definition,[]) ).
fof(f2420,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sF10,X0)
| ~ spl15_17
| ~ spl15_36 ),
inference(forward_demodulation,[],[f2419,f1]) ).
fof(f2419,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sF10,multiply(identity,X0))
| ~ spl15_17
| ~ spl15_36 ),
inference(forward_demodulation,[],[f1923,f2176]) ).
fof(f2176,plain,
( identity = sF9
| ~ spl15_17
| ~ spl15_36 ),
inference(forward_demodulation,[],[f208,f1487]) ).
fof(f1923,plain,
! [X0] : multiply(sk_c8,X0) = multiply(sF10,multiply(sF9,X0)),
inference(superposition,[],[f3,f1873]) ).
fof(f2385,plain,
( sk_c8 = multiply(sF10,identity)
| ~ spl15_17
| ~ spl15_36 ),
inference(forward_demodulation,[],[f1873,f2176]) ).
fof(f2215,plain,
( identity = multiply(inverse(sF10),sk_c8)
| ~ spl15_17
| ~ spl15_36 ),
inference(forward_demodulation,[],[f1922,f2176]) ).
fof(f2309,plain,
( ~ spl15_5
| ~ spl15_36
| ~ spl15_49
| spl15_52 ),
inference(avatar_contradiction_clause,[],[f2308]) ).
fof(f2308,plain,
( $false
| ~ spl15_5
| ~ spl15_36
| ~ spl15_49
| spl15_52 ),
inference(subsumption_resolution,[],[f2307,f2118]) ).
fof(f2307,plain,
( identity != inverse(identity)
| ~ spl15_49
| spl15_52 ),
inference(forward_demodulation,[],[f2048,f1852]) ).
fof(f1852,plain,
( identity = sF10
| ~ spl15_49 ),
inference(avatar_component_clause,[],[f1851]) ).
fof(f2048,plain,
( inverse(sF10) != sF10
| spl15_52 ),
inference(avatar_component_clause,[],[f2046]) ).
fof(f2046,plain,
( spl15_52
<=> inverse(sF10) = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_52])]) ).
fof(f2286,plain,
( ~ spl15_5
| ~ spl15_36
| ~ spl15_49
| spl15_53 ),
inference(avatar_contradiction_clause,[],[f2285]) ).
fof(f2285,plain,
( $false
| ~ spl15_5
| ~ spl15_36
| ~ spl15_49
| spl15_53 ),
inference(subsumption_resolution,[],[f2284,f2118]) ).
fof(f2284,plain,
( identity != inverse(identity)
| ~ spl15_5
| ~ spl15_36
| ~ spl15_49
| spl15_53 ),
inference(forward_demodulation,[],[f2280,f2118]) ).
fof(f2280,plain,
( identity != inverse(inverse(identity))
| ~ spl15_49
| spl15_53 ),
inference(backward_demodulation,[],[f2052,f1852]) ).
fof(f2052,plain,
( identity != inverse(inverse(sF10))
| spl15_53 ),
inference(avatar_component_clause,[],[f2050]) ).
fof(f2050,plain,
( spl15_53
<=> identity = inverse(inverse(sF10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_53])]) ).
fof(f2053,plain,
( ~ spl15_52
| ~ spl15_53
| ~ spl15_29
| ~ spl15_36
| ~ spl15_42 ),
inference(avatar_split_clause,[],[f2032,f1713,f1486,f1297,f2050,f2046]) ).
fof(f1297,plain,
( spl15_29
<=> ! [X1] :
( inverse(X1) != multiply(X1,sk_c11)
| sk_c11 != inverse(inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).
fof(f2032,plain,
( identity != inverse(inverse(sF10))
| inverse(sF10) != sF10
| ~ spl15_29
| ~ spl15_36
| ~ spl15_42 ),
inference(superposition,[],[f1526,f1903]) ).
fof(f1903,plain,
( sF10 = multiply(sF10,identity)
| ~ spl15_42 ),
inference(forward_demodulation,[],[f1901,f76]) ).
fof(f1901,plain,
( sF10 = multiply(inverse(sk_c5),identity)
| ~ spl15_42 ),
inference(superposition,[],[f271,f1714]) ).
fof(f1714,plain,
( identity = multiply(sk_c5,sF10)
| ~ spl15_42 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f1526,plain,
( ! [X1] :
( multiply(X1,identity) != inverse(X1)
| identity != inverse(inverse(X1)) )
| ~ spl15_29
| ~ spl15_36 ),
inference(forward_demodulation,[],[f1517,f1487]) ).
fof(f1517,plain,
( ! [X1] :
( multiply(X1,identity) != inverse(X1)
| sk_c11 != inverse(inverse(X1)) )
| ~ spl15_29
| ~ spl15_36 ),
inference(backward_demodulation,[],[f1298,f1487]) ).
fof(f1298,plain,
( ! [X1] :
( inverse(X1) != multiply(X1,sk_c11)
| sk_c11 != inverse(inverse(X1)) )
| ~ spl15_29 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f1568,plain,
( ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19
| ~ spl15_34 ),
inference(avatar_contradiction_clause,[],[f1567]) ).
fof(f1567,plain,
( $false
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19
| ~ spl15_34 ),
inference(subsumption_resolution,[],[f1566,f1428]) ).
fof(f1428,plain,
( identity = inverse(identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19 ),
inference(backward_demodulation,[],[f1413,f1419]) ).
fof(f1419,plain,
( identity = sk_c5
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19 ),
inference(forward_demodulation,[],[f1417,f1388]) ).
fof(f1388,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_12
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19 ),
inference(backward_demodulation,[],[f1355,f1387]) ).
fof(f1387,plain,
( ! [X9] : multiply(sk_c11,X9) = X9
| ~ spl15_1
| ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_12
| ~ spl15_18
| ~ spl15_19 ),
inference(forward_demodulation,[],[f1385,f1]) ).
fof(f1385,plain,
( ! [X9] : multiply(sk_c11,multiply(identity,X9)) = X9
| ~ spl15_1
| ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_12
| ~ spl15_18
| ~ spl15_19 ),
inference(backward_demodulation,[],[f1353,f1383]) ).
fof(f1383,plain,
( identity = sk_c4
| ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_12
| ~ spl15_19 ),
inference(forward_demodulation,[],[f1380,f2]) ).
fof(f1380,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_12
| ~ spl15_19 ),
inference(backward_demodulation,[],[f1336,f1356]) ).
fof(f1356,plain,
( identity = sk_c10
| ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_19 ),
inference(forward_demodulation,[],[f1344,f1224]) ).
fof(f1224,plain,
( identity = multiply(sk_c1,sk_c11)
| ~ spl15_19 ),
inference(backward_demodulation,[],[f57,f501]) ).
fof(f1344,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl15_2
| ~ spl15_5
| ~ spl15_6 ),
inference(backward_demodulation,[],[f1237,f1342]) ).
fof(f1342,plain,
( sk_c1 = sk_c3
| ~ spl15_5
| ~ spl15_6 ),
inference(forward_demodulation,[],[f1339,f562]) ).
fof(f562,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl15_6 ),
inference(backward_demodulation,[],[f318,f148]) ).
fof(f1336,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl15_12 ),
inference(superposition,[],[f271,f1227]) ).
fof(f1227,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl15_12 ),
inference(backward_demodulation,[],[f1175,f173]) ).
fof(f173,plain,
( sk_c10 = sF13
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl15_12
<=> sk_c10 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f1175,plain,
identity = multiply(sF13,sk_c4),
inference(superposition,[],[f2,f83]) ).
fof(f83,plain,
inverse(sk_c4) = sF13,
introduced(function_definition,[]) ).
fof(f1353,plain,
( ! [X9] : multiply(sk_c11,multiply(sk_c4,X9)) = X9
| ~ spl15_1
| ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_18
| ~ spl15_19 ),
inference(backward_demodulation,[],[f1352,f1351]) ).
fof(f1351,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c9,X0)
| ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_18
| ~ spl15_19 ),
inference(backward_demodulation,[],[f1186,f1348]) ).
fof(f1348,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_19 ),
inference(forward_demodulation,[],[f1343,f1230]) ).
fof(f1230,plain,
( ! [X8] : multiply(sk_c1,multiply(sk_c11,X8)) = X8
| ~ spl15_19 ),
inference(forward_demodulation,[],[f1229,f1]) ).
fof(f1229,plain,
( ! [X8] : multiply(identity,X8) = multiply(sk_c1,multiply(sk_c11,X8))
| ~ spl15_19 ),
inference(forward_demodulation,[],[f263,f501]) ).
fof(f263,plain,
! [X8] : multiply(sF0,X8) = multiply(sk_c1,multiply(sk_c11,X8)),
inference(superposition,[],[f3,f57]) ).
fof(f1343,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c11,X0))
| ~ spl15_2
| ~ spl15_5
| ~ spl15_6 ),
inference(backward_demodulation,[],[f1236,f1342]) ).
fof(f1236,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,multiply(sk_c11,X0))
| ~ spl15_2 ),
inference(backward_demodulation,[],[f1192,f130]) ).
fof(f1192,plain,
! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sF1,X0),
inference(superposition,[],[f3,f58]) ).
fof(f1186,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl15_18 ),
inference(superposition,[],[f3,f1033]) ).
fof(f1033,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl15_18 ),
inference(forward_demodulation,[],[f80,f214]) ).
fof(f214,plain,
( sk_c9 = sF12
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f212,plain,
( spl15_18
<=> sk_c9 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f80,plain,
multiply(sk_c4,sk_c10) = sF12,
introduced(function_definition,[]) ).
fof(f1352,plain,
( ! [X9] : multiply(sk_c11,multiply(sk_c9,X9)) = X9
| ~ spl15_1
| ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_19 ),
inference(backward_demodulation,[],[f964,f1348]) ).
fof(f1355,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c11,X0)) = multiply(sk_c11,X0)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_17
| ~ spl15_19 ),
inference(backward_demodulation,[],[f1216,f1349]) ).
fof(f1349,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,X0)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_19 ),
inference(backward_demodulation,[],[f1239,f1348]) ).
fof(f1216,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl15_17 ),
inference(backward_demodulation,[],[f855,f208]) ).
fof(f855,plain,
! [X0] : multiply(sF9,X0) = multiply(sk_c5,multiply(sk_c8,X0)),
inference(superposition,[],[f3,f73]) ).
fof(f1417,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19 ),
inference(backward_demodulation,[],[f1401,f1399]) ).
fof(f1399,plain,
( sk_c5 = inverse(sk_c5)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19 ),
inference(backward_demodulation,[],[f250,f1396]) ).
fof(f1396,plain,
( sk_c5 = sk_c8
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19 ),
inference(backward_demodulation,[],[f1242,f1388]) ).
fof(f1242,plain,
( sk_c8 = multiply(sk_c5,sk_c5)
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f1220,f1241]) ).
fof(f1241,plain,
( sk_c5 = sF2
| ~ spl15_8
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f190,f388]) ).
fof(f388,plain,
( sk_c5 = sk_c6
| ~ spl15_8
| ~ spl15_14 ),
inference(backward_demodulation,[],[f313,f312]) ).
fof(f312,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl15_14 ),
inference(superposition,[],[f271,f256]) ).
fof(f256,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl15_14 ),
inference(superposition,[],[f2,f250]) ).
fof(f313,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl15_8 ),
inference(superposition,[],[f271,f258]) ).
fof(f258,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl15_8 ),
inference(superposition,[],[f2,f249]) ).
fof(f249,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl15_8 ),
inference(backward_demodulation,[],[f63,f158]) ).
fof(f190,plain,
( sk_c6 = sF2
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl15_15
<=> sk_c6 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f1220,plain,
( sk_c8 = multiply(sk_c5,sF2)
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14 ),
inference(backward_demodulation,[],[f853,f1219]) ).
fof(f1219,plain,
( sk_c5 = sF11
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14 ),
inference(forward_demodulation,[],[f153,f388]) ).
fof(f853,plain,
sk_c8 = multiply(sF11,sF2),
inference(forward_demodulation,[],[f851,f78]) ).
fof(f851,plain,
sk_c8 = multiply(inverse(sk_c7),sF2),
inference(superposition,[],[f271,f60]) ).
fof(f60,plain,
multiply(sk_c7,sk_c8) = sF2,
introduced(function_definition,[]) ).
fof(f250,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f76,f185]) ).
fof(f1401,plain,
( sk_c5 = multiply(inverse(sk_c5),identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19 ),
inference(backward_demodulation,[],[f312,f1396]) ).
fof(f1413,plain,
( sk_c5 = inverse(identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19 ),
inference(backward_demodulation,[],[f1223,f1410]) ).
fof(f1410,plain,
( identity = sk_c7
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19 ),
inference(forward_demodulation,[],[f1406,f1388]) ).
fof(f1406,plain,
( sk_c7 = multiply(sk_c5,identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19 ),
inference(backward_demodulation,[],[f1335,f1396]) ).
fof(f1335,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14 ),
inference(forward_demodulation,[],[f1332,f250]) ).
fof(f1332,plain,
( sk_c7 = multiply(inverse(sk_c5),identity)
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14 ),
inference(superposition,[],[f271,f1221]) ).
fof(f1221,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14 ),
inference(backward_demodulation,[],[f847,f1219]) ).
fof(f1223,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14 ),
inference(backward_demodulation,[],[f78,f1219]) ).
fof(f1566,plain,
( identity != inverse(identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19
| ~ spl15_34 ),
inference(forward_demodulation,[],[f1565,f1428]) ).
fof(f1565,plain,
( identity != inverse(inverse(identity))
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19
| ~ spl15_34 ),
inference(subsumption_resolution,[],[f1555,f1428]) ).
fof(f1555,plain,
( identity != inverse(inverse(identity))
| identity != inverse(identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19
| ~ spl15_34 ),
inference(superposition,[],[f1498,f1]) ).
fof(f1498,plain,
( ! [X4] :
( inverse(X4) != multiply(X4,identity)
| identity != inverse(inverse(X4)) )
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19
| ~ spl15_34 ),
inference(forward_demodulation,[],[f1497,f1419]) ).
fof(f1497,plain,
( ! [X4] :
( inverse(X4) != multiply(X4,identity)
| sk_c5 != inverse(inverse(X4)) )
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19
| ~ spl15_34 ),
inference(forward_demodulation,[],[f1319,f1419]) ).
fof(f1319,plain,
( ! [X4] :
( inverse(X4) != multiply(X4,sk_c5)
| sk_c5 != inverse(inverse(X4)) )
| ~ spl15_34 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f1318,plain,
( spl15_34
<=> ! [X4] :
( inverse(X4) != multiply(X4,sk_c5)
| sk_c5 != inverse(inverse(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).
fof(f1450,plain,
( ~ spl15_22
| ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_12
| spl15_13
| ~ spl15_18
| ~ spl15_19 ),
inference(avatar_split_clause,[],[f1446,f500,f212,f178,f171,f146,f142,f128,f513]) ).
fof(f1446,plain,
( identity != sF7
| ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_12
| spl15_13
| ~ spl15_18
| ~ spl15_19 ),
inference(backward_demodulation,[],[f179,f1445]) ).
fof(f1445,plain,
( identity = sk_c9
| ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_12
| ~ spl15_18
| ~ spl15_19 ),
inference(forward_demodulation,[],[f1386,f1]) ).
fof(f1386,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_12
| ~ spl15_18
| ~ spl15_19 ),
inference(backward_demodulation,[],[f1366,f1383]) ).
fof(f1366,plain,
( sk_c9 = multiply(sk_c4,identity)
| ~ spl15_2
| ~ spl15_5
| ~ spl15_6
| ~ spl15_18
| ~ spl15_19 ),
inference(backward_demodulation,[],[f1033,f1356]) ).
fof(f179,plain,
( sk_c9 != sF7
| spl15_13 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f1409,plain,
( spl15_34
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19 ),
inference(avatar_split_clause,[],[f1408,f500,f212,f206,f188,f183,f171,f167,f156,f151,f146,f142,f133,f128,f124,f1318]) ).
fof(f1408,plain,
( ! [X3] :
( inverse(X3) != multiply(X3,sk_c5)
| sk_c5 != inverse(inverse(X3)) )
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19 ),
inference(forward_demodulation,[],[f1405,f1396]) ).
fof(f1405,plain,
( ! [X3] :
( inverse(X3) != multiply(X3,sk_c8)
| sk_c5 != inverse(inverse(X3)) )
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| ~ spl15_7
| ~ spl15_8
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17
| ~ spl15_18
| ~ spl15_19 ),
inference(backward_demodulation,[],[f1328,f1396]) ).
fof(f1328,plain,
( ! [X3] :
( sk_c8 != inverse(inverse(X3))
| inverse(X3) != multiply(X3,sk_c8) )
| ~ spl15_3
| ~ spl15_11
| ~ spl15_14
| ~ spl15_17 ),
inference(subsumption_resolution,[],[f1327,f1218]) ).
fof(f1218,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl15_17 ),
inference(backward_demodulation,[],[f73,f208]) ).
fof(f1327,plain,
( ! [X3] :
( sk_c8 != inverse(inverse(X3))
| inverse(X3) != multiply(X3,sk_c8)
| sk_c11 != multiply(sk_c5,sk_c8) )
| ~ spl15_3
| ~ spl15_11
| ~ spl15_14 ),
inference(subsumption_resolution,[],[f1276,f1240]) ).
fof(f1240,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl15_3 ),
inference(backward_demodulation,[],[f65,f135]) ).
fof(f1276,plain,
( ! [X3] :
( sk_c11 != multiply(sk_c8,sk_c10)
| inverse(X3) != multiply(X3,sk_c8)
| sk_c8 != inverse(inverse(X3))
| sk_c11 != multiply(sk_c5,sk_c8) )
| ~ spl15_11
| ~ spl15_14 ),
inference(superposition,[],[f168,f250]) ).
fof(f1299,plain,
( spl15_29
| ~ spl15_25
| ~ spl15_2
| ~ spl15_5
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f1295,f167,f142,f128,f1210,f1297]) ).
fof(f1295,plain,
( ! [X1] :
( sk_c11 != sk_c10
| inverse(X1) != multiply(X1,sk_c11)
| sk_c11 != inverse(inverse(X1)) )
| ~ spl15_2
| ~ spl15_5
| ~ spl15_11 ),
inference(forward_demodulation,[],[f1294,f1237]) ).
fof(f1294,plain,
( ! [X1] :
( sk_c11 != inverse(inverse(X1))
| inverse(X1) != multiply(X1,sk_c11)
| sk_c11 != multiply(sk_c3,sk_c11) )
| ~ spl15_2
| ~ spl15_5
| ~ spl15_11 ),
inference(subsumption_resolution,[],[f1274,f1235]) ).
fof(f1235,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl15_2
| ~ spl15_5 ),
inference(backward_demodulation,[],[f1231,f130]) ).
fof(f1231,plain,
( sk_c11 = multiply(sk_c11,sF1)
| ~ spl15_5 ),
inference(backward_demodulation,[],[f1193,f144]) ).
fof(f1193,plain,
sk_c11 = multiply(sF14,sF1),
inference(forward_demodulation,[],[f1191,f88]) ).
fof(f1191,plain,
sk_c11 = multiply(inverse(sk_c3),sF1),
inference(superposition,[],[f271,f58]) ).
fof(f1274,plain,
( ! [X1] :
( inverse(X1) != multiply(X1,sk_c11)
| sk_c11 != multiply(sk_c11,sk_c10)
| sk_c11 != multiply(sk_c3,sk_c11)
| sk_c11 != inverse(inverse(X1)) )
| ~ spl15_5
| ~ spl15_11 ),
inference(superposition,[],[f168,f1234]) ).
fof(f1215,plain,
( ~ spl15_4
| ~ spl15_6
| ~ spl15_10 ),
inference(avatar_contradiction_clause,[],[f1214]) ).
fof(f1214,plain,
( $false
| ~ spl15_4
| ~ spl15_6
| ~ spl15_10 ),
inference(subsumption_resolution,[],[f1204,f565]) ).
fof(f565,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl15_6 ),
inference(backward_demodulation,[],[f71,f148]) ).
fof(f1204,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl15_4
| ~ spl15_10 ),
inference(trivial_inequality_removal,[],[f1202]) ).
fof(f1202,plain,
( sk_c11 != inverse(sk_c1)
| sk_c10 != sk_c10
| ~ spl15_4
| ~ spl15_10 ),
inference(superposition,[],[f165,f1167]) ).
fof(f1167,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl15_4 ),
inference(backward_demodulation,[],[f57,f139]) ).
fof(f165,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) )
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl15_10
<=> ! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f1070,plain,
( spl15_22
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_13
| ~ spl15_23 ),
inference(avatar_split_clause,[],[f1067,f543,f178,f146,f137,f124,f513]) ).
fof(f1067,plain,
( identity = sF7
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_13
| ~ spl15_23 ),
inference(backward_demodulation,[],[f1049,f1053]) ).
fof(f1053,plain,
( identity = sk_c11
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_13
| ~ spl15_23 ),
inference(backward_demodulation,[],[f1043,f1052]) ).
fof(f1052,plain,
( identity = sk_c9
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_13
| ~ spl15_23 ),
inference(forward_demodulation,[],[f1051,f2]) ).
fof(f1051,plain,
( sk_c9 = multiply(inverse(sk_c11),sk_c11)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_13
| ~ spl15_23 ),
inference(forward_demodulation,[],[f963,f1038]) ).
fof(f1038,plain,
( sk_c11 = sk_c10
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_13
| ~ spl15_23 ),
inference(forward_demodulation,[],[f1037,f1023]) ).
fof(f1023,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl15_4
| ~ spl15_6 ),
inference(forward_demodulation,[],[f561,f139]) ).
fof(f561,plain,
( sk_c11 = multiply(sk_c11,sF0)
| ~ spl15_6 ),
inference(backward_demodulation,[],[f378,f148]) ).
fof(f1037,plain,
( sk_c10 = multiply(sk_c11,sk_c10)
| ~ spl15_1
| ~ spl15_13
| ~ spl15_23 ),
inference(backward_demodulation,[],[f965,f1000]) ).
fof(f1000,plain,
( sk_c10 = sk_c9
| ~ spl15_13
| ~ spl15_23 ),
inference(forward_demodulation,[],[f999,f1]) ).
fof(f999,plain,
( sk_c9 = multiply(identity,sk_c10)
| ~ spl15_13
| ~ spl15_23 ),
inference(forward_demodulation,[],[f888,f544]) ).
fof(f888,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl15_13 ),
inference(forward_demodulation,[],[f69,f180]) ).
fof(f965,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| ~ spl15_1 ),
inference(backward_demodulation,[],[f62,f126]) ).
fof(f1043,plain,
( sk_c11 = sk_c9
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_13
| ~ spl15_23 ),
inference(backward_demodulation,[],[f1000,f1038]) ).
fof(f1049,plain,
( sk_c11 = sF7
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_13
| ~ spl15_23 ),
inference(forward_demodulation,[],[f180,f1043]) ).
fof(f895,plain,
( spl15_22
| ~ spl15_4
| ~ spl15_13
| ~ spl15_19
| ~ spl15_23 ),
inference(avatar_split_clause,[],[f894,f543,f500,f178,f137,f513]) ).
fof(f894,plain,
( identity = sF7
| ~ spl15_4
| ~ spl15_13
| ~ spl15_19
| ~ spl15_23 ),
inference(backward_demodulation,[],[f180,f891]) ).
fof(f891,plain,
( identity = sk_c9
| ~ spl15_4
| ~ spl15_13
| ~ spl15_19
| ~ spl15_23 ),
inference(forward_demodulation,[],[f890,f1]) ).
fof(f890,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl15_4
| ~ spl15_13
| ~ spl15_19
| ~ spl15_23 ),
inference(forward_demodulation,[],[f889,f544]) ).
fof(f889,plain,
( sk_c9 = multiply(sk_c2,identity)
| ~ spl15_4
| ~ spl15_13
| ~ spl15_19 ),
inference(forward_demodulation,[],[f888,f881]) ).
fof(f881,plain,
( identity = sk_c10
| ~ spl15_4
| ~ spl15_19 ),
inference(forward_demodulation,[],[f139,f501]) ).
fof(f651,plain,
( spl15_22
| ~ spl15_2
| ~ spl15_5
| ~ spl15_23 ),
inference(avatar_split_clause,[],[f649,f543,f142,f128,f513]) ).
fof(f649,plain,
( identity = sF7
| ~ spl15_2
| ~ spl15_5
| ~ spl15_23 ),
inference(backward_demodulation,[],[f524,f544]) ).
fof(f524,plain,
( sk_c2 = sF7
| ~ spl15_2
| ~ spl15_5 ),
inference(forward_demodulation,[],[f520,f317]) ).
fof(f520,plain,
( sF7 = multiply(inverse(sF6),identity)
| ~ spl15_2
| ~ spl15_5 ),
inference(superposition,[],[f271,f377]) ).
fof(f377,plain,
( identity = multiply(sF6,sF7)
| ~ spl15_2
| ~ spl15_5 ),
inference(forward_demodulation,[],[f376,f321]) ).
fof(f321,plain,
( identity = sk_c10
| ~ spl15_2
| ~ spl15_5 ),
inference(forward_demodulation,[],[f304,f2]) ).
fof(f304,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl15_2
| ~ spl15_5 ),
inference(superposition,[],[f271,f287]) ).
fof(f287,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl15_2
| ~ spl15_5 ),
inference(superposition,[],[f274,f252]) ).
fof(f252,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl15_2 ),
inference(backward_demodulation,[],[f58,f130]) ).
fof(f274,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl15_5 ),
inference(forward_demodulation,[],[f273,f1]) ).
fof(f273,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl15_5 ),
inference(superposition,[],[f3,f254]) ).
fof(f254,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl15_5 ),
inference(superposition,[],[f2,f251]) ).
fof(f251,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl15_5 ),
inference(backward_demodulation,[],[f88,f144]) ).
fof(f376,plain,
sk_c10 = multiply(sF6,sF7),
inference(forward_demodulation,[],[f316,f67]) ).
fof(f316,plain,
sk_c10 = multiply(inverse(sk_c2),sF7),
inference(superposition,[],[f271,f69]) ).
fof(f541,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8
| ~ spl15_10
| ~ spl15_12
| ~ spl15_14
| ~ spl15_17 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f540,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8
| ~ spl15_10
| ~ spl15_12
| ~ spl15_14
| ~ spl15_17 ),
inference(subsumption_resolution,[],[f539,f358]) ).
fof(f358,plain,
( identity = inverse(identity)
| ~ spl15_2
| ~ spl15_5
| ~ spl15_12 ),
inference(backward_demodulation,[],[f326,f357]) ).
fof(f357,plain,
( identity = sk_c4
| ~ spl15_2
| ~ spl15_5
| ~ spl15_12 ),
inference(forward_demodulation,[],[f356,f2]) ).
fof(f356,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl15_2
| ~ spl15_5
| ~ spl15_12 ),
inference(forward_demodulation,[],[f307,f321]) ).
fof(f307,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl15_12 ),
inference(superposition,[],[f271,f255]) ).
fof(f255,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl15_12 ),
inference(superposition,[],[f2,f243]) ).
fof(f243,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl15_12 ),
inference(backward_demodulation,[],[f83,f173]) ).
fof(f326,plain,
( identity = inverse(sk_c4)
| ~ spl15_2
| ~ spl15_5
| ~ spl15_12 ),
inference(backward_demodulation,[],[f243,f321]) ).
fof(f539,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8
| ~ spl15_10
| ~ spl15_12
| ~ spl15_14
| ~ spl15_17 ),
inference(forward_demodulation,[],[f534,f358]) ).
fof(f534,plain,
( identity != inverse(inverse(identity))
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8
| ~ spl15_10
| ~ spl15_14
| ~ spl15_17 ),
inference(trivial_inequality_removal,[],[f531]) ).
fof(f531,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8
| ~ spl15_10
| ~ spl15_14
| ~ spl15_17 ),
inference(superposition,[],[f519,f2]) ).
fof(f519,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8
| ~ spl15_10
| ~ spl15_14
| ~ spl15_17 ),
inference(forward_demodulation,[],[f518,f321]) ).
fof(f518,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c10 != multiply(X5,identity) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8
| ~ spl15_10
| ~ spl15_14
| ~ spl15_17 ),
inference(forward_demodulation,[],[f517,f409]) ).
fof(f409,plain,
( identity = sk_c11
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14
| ~ spl15_17 ),
inference(backward_demodulation,[],[f327,f407]) ).
fof(f407,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14
| ~ spl15_17 ),
inference(backward_demodulation,[],[f278,f405]) ).
fof(f405,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14
| ~ spl15_17 ),
inference(backward_demodulation,[],[f393,f400]) ).
fof(f400,plain,
( ! [X12] : multiply(sk_c11,X12) = X12
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14
| ~ spl15_17 ),
inference(backward_demodulation,[],[f341,f393]) ).
fof(f341,plain,
( ! [X12] : multiply(sk_c5,multiply(sk_c11,X12)) = multiply(sk_c11,X12)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_17 ),
inference(backward_demodulation,[],[f267,f340]) ).
fof(f340,plain,
( ! [X13] : multiply(sk_c11,X13) = multiply(sk_c8,X13)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5 ),
inference(forward_demodulation,[],[f333,f1]) ).
fof(f333,plain,
( ! [X13] : multiply(sk_c8,multiply(identity,X13)) = multiply(sk_c11,X13)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5 ),
inference(backward_demodulation,[],[f268,f321]) ).
fof(f268,plain,
( ! [X13] : multiply(sk_c11,X13) = multiply(sk_c8,multiply(sk_c10,X13))
| ~ spl15_3 ),
inference(superposition,[],[f3,f244]) ).
fof(f244,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl15_3 ),
inference(backward_demodulation,[],[f65,f135]) ).
fof(f267,plain,
( ! [X12] : multiply(sk_c5,multiply(sk_c8,X12)) = multiply(sk_c11,X12)
| ~ spl15_17 ),
inference(superposition,[],[f3,f246]) ).
fof(f246,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl15_17 ),
inference(backward_demodulation,[],[f73,f208]) ).
fof(f393,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c11,X0)) = X0
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8
| ~ spl15_14 ),
inference(backward_demodulation,[],[f348,f388]) ).
fof(f348,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c11,X0)) = X0
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8 ),
inference(backward_demodulation,[],[f280,f346]) ).
fof(f346,plain,
( sk_c11 = sk_c7
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8 ),
inference(forward_demodulation,[],[f345,f327]) ).
fof(f345,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl15_7
| ~ spl15_8 ),
inference(forward_demodulation,[],[f315,f249]) ).
fof(f315,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl15_7 ),
inference(superposition,[],[f271,f257]) ).
fof(f257,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl15_7 ),
inference(superposition,[],[f2,f245]) ).
fof(f245,plain,
( inverse(sk_c7) = sk_c6
| ~ spl15_7 ),
inference(backward_demodulation,[],[f78,f153]) ).
fof(f280,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl15_7 ),
inference(forward_demodulation,[],[f279,f1]) ).
fof(f279,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl15_7 ),
inference(superposition,[],[f3,f257]) ).
fof(f278,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl15_14 ),
inference(forward_demodulation,[],[f277,f1]) ).
fof(f277,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl15_14 ),
inference(superposition,[],[f3,f256]) ).
fof(f327,plain,
( sk_c11 = multiply(sk_c8,identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5 ),
inference(backward_demodulation,[],[f244,f321]) ).
fof(f517,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,identity) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8
| ~ spl15_10
| ~ spl15_14
| ~ spl15_17 ),
inference(forward_demodulation,[],[f165,f409]) ).
fof(f498,plain,
( ~ spl15_2
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12
| ~ spl15_18 ),
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f497,plain,
( $false
| ~ spl15_2
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12
| ~ spl15_18 ),
inference(subsumption_resolution,[],[f492,f358]) ).
fof(f492,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12
| ~ spl15_18 ),
inference(trivial_inequality_removal,[],[f487]) ).
fof(f487,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl15_2
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12
| ~ spl15_18 ),
inference(superposition,[],[f475,f1]) ).
fof(f475,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl15_2
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12
| ~ spl15_18 ),
inference(forward_demodulation,[],[f474,f367]) ).
fof(f367,plain,
( identity = sk_c9
| ~ spl15_2
| ~ spl15_5
| ~ spl15_12
| ~ spl15_18 ),
inference(forward_demodulation,[],[f362,f1]) ).
fof(f362,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl15_2
| ~ spl15_5
| ~ spl15_12
| ~ spl15_18 ),
inference(backward_demodulation,[],[f328,f357]) ).
fof(f328,plain,
( sk_c9 = multiply(sk_c4,identity)
| ~ spl15_2
| ~ spl15_5
| ~ spl15_18 ),
inference(backward_demodulation,[],[f248,f321]) ).
fof(f248,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl15_18 ),
inference(backward_demodulation,[],[f80,f214]) ).
fof(f474,plain,
( ! [X4] :
( sk_c9 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl15_2
| ~ spl15_5
| ~ spl15_9 ),
inference(forward_demodulation,[],[f473,f321]) ).
fof(f473,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,identity) )
| ~ spl15_2
| ~ spl15_5
| ~ spl15_9 ),
inference(forward_demodulation,[],[f162,f321]) ).
fof(f440,plain,
( spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_17
| ~ spl15_18 ),
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f439,plain,
( $false
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_17
| ~ spl15_18 ),
inference(subsumption_resolution,[],[f429,f323]) ).
fof(f323,plain,
( identity != sF3
| spl15_1
| ~ spl15_2
| ~ spl15_5 ),
inference(backward_demodulation,[],[f125,f321]) ).
fof(f125,plain,
( sk_c10 != sF3
| spl15_1 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f429,plain,
( identity = sF3
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14
| ~ spl15_17
| ~ spl15_18 ),
inference(backward_demodulation,[],[f371,f409]) ).
fof(f371,plain,
( sk_c11 = sF3
| ~ spl15_2
| ~ spl15_5
| ~ spl15_12
| ~ spl15_18 ),
inference(forward_demodulation,[],[f370,f336]) ).
fof(f336,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl15_2
| ~ spl15_5 ),
inference(backward_demodulation,[],[f287,f321]) ).
fof(f370,plain,
( multiply(sk_c11,identity) = sF3
| ~ spl15_2
| ~ spl15_5
| ~ spl15_12
| ~ spl15_18 ),
inference(backward_demodulation,[],[f62,f367]) ).
fof(f242,plain,
( spl15_14
| spl15_16 ),
inference(avatar_split_clause,[],[f94,f199,f183]) ).
fof(f94,plain,
( sk_c10 = sF6
| sk_c8 = sF10 ),
inference(definition_folding,[],[f49,f76,f67]) ).
fof(f49,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f239,plain,
( spl15_5
| spl15_16 ),
inference(avatar_split_clause,[],[f109,f199,f142]) ).
fof(f109,plain,
( sk_c10 = sF6
| sk_c11 = sF14 ),
inference(definition_folding,[],[f45,f67,f88]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f238,plain,
( spl15_2
| spl15_13 ),
inference(avatar_split_clause,[],[f70,f178,f128]) ).
fof(f70,plain,
( sk_c9 = sF7
| sk_c10 = sF1 ),
inference(definition_folding,[],[f34,f69,f58]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f237,plain,
( spl15_5
| spl15_1 ),
inference(avatar_split_clause,[],[f103,f124,f142]) ).
fof(f103,plain,
( sk_c10 = sF3
| sk_c11 = sF14 ),
inference(definition_folding,[],[f25,f88,f62]) ).
fof(f25,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f236,plain,
( spl15_1
| spl15_18 ),
inference(avatar_split_clause,[],[f81,f212,f124]) ).
fof(f81,plain,
( sk_c9 = sF12
| sk_c10 = sF3 ),
inference(definition_folding,[],[f26,f80,f62]) ).
fof(f26,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f235,plain,
( spl15_6
| spl15_3 ),
inference(avatar_split_clause,[],[f117,f133,f146]) ).
fof(f117,plain,
( sk_c11 = sF5
| sk_c11 = sF8 ),
inference(definition_folding,[],[f20,f65,f71]) ).
fof(f20,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f234,plain,
( spl15_16
| spl15_18 ),
inference(avatar_split_clause,[],[f92,f212,f199]) ).
fof(f92,plain,
( sk_c9 = sF12
| sk_c10 = sF6 ),
inference(definition_folding,[],[f46,f67,f80]) ).
fof(f46,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f233,plain,
( spl15_4
| spl15_18 ),
inference(avatar_split_clause,[],[f85,f212,f137]) ).
fof(f85,plain,
( sk_c9 = sF12
| sk_c10 = sF0 ),
inference(definition_folding,[],[f6,f57,f80]) ).
fof(f6,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f232,plain,
( spl15_1
| spl15_8 ),
inference(avatar_split_clause,[],[f64,f156,f124]) ).
fof(f64,plain,
( sk_c8 = sF4
| sk_c10 = sF3 ),
inference(definition_folding,[],[f32,f63,f62]) ).
fof(f32,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f231,plain,
( spl15_2
| spl15_4 ),
inference(avatar_split_clause,[],[f59,f137,f128]) ).
fof(f59,plain,
( sk_c10 = sF0
| sk_c10 = sF1 ),
inference(definition_folding,[],[f4,f58,f57]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f230,plain,
( spl15_6
| spl15_12 ),
inference(avatar_split_clause,[],[f84,f171,f146]) ).
fof(f84,plain,
( sk_c10 = sF13
| sk_c11 = sF8 ),
inference(definition_folding,[],[f17,f83,f71]) ).
fof(f17,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f229,plain,
( spl15_6
| spl15_2 ),
inference(avatar_split_clause,[],[f115,f128,f146]) ).
fof(f115,plain,
( sk_c10 = sF1
| sk_c11 = sF8 ),
inference(definition_folding,[],[f14,f58,f71]) ).
fof(f14,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f228,plain,
( spl15_16
| spl15_17 ),
inference(avatar_split_clause,[],[f110,f206,f199]) ).
fof(f110,plain,
( sk_c11 = sF9
| sk_c10 = sF6 ),
inference(definition_folding,[],[f48,f73,f67]) ).
fof(f48,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f227,plain,
( spl15_17
| spl15_6 ),
inference(avatar_split_clause,[],[f82,f146,f206]) ).
fof(f82,plain,
( sk_c11 = sF8
| sk_c11 = sF9 ),
inference(definition_folding,[],[f18,f71,f73]) ).
fof(f18,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f226,plain,
( spl15_13
| spl15_12 ),
inference(avatar_split_clause,[],[f107,f171,f178]) ).
fof(f107,plain,
( sk_c10 = sF13
| sk_c9 = sF7 ),
inference(definition_folding,[],[f37,f83,f69]) ).
fof(f37,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f225,plain,
( spl15_3
| spl15_1 ),
inference(avatar_split_clause,[],[f108,f124,f133]) ).
fof(f108,plain,
( sk_c10 = sF3
| sk_c11 = sF5 ),
inference(definition_folding,[],[f30,f65,f62]) ).
fof(f30,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f224,plain,
( spl15_15
| spl15_16 ),
inference(avatar_split_clause,[],[f91,f199,f188]) ).
fof(f91,plain,
( sk_c10 = sF6
| sk_c6 = sF2 ),
inference(definition_folding,[],[f53,f60,f67]) ).
fof(f53,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f223,plain,
( spl15_16
| spl15_2 ),
inference(avatar_split_clause,[],[f98,f128,f199]) ).
fof(f98,plain,
( sk_c10 = sF1
| sk_c10 = sF6 ),
inference(definition_folding,[],[f44,f67,f58]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f222,plain,
( spl15_7
| spl15_1 ),
inference(avatar_split_clause,[],[f112,f124,f151]) ).
fof(f112,plain,
( sk_c10 = sF3
| sk_c6 = sF11 ),
inference(definition_folding,[],[f31,f62,f78]) ).
fof(f31,axiom,
( inverse(sk_c7) = sk_c6
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f219,plain,
( spl15_18
| spl15_6 ),
inference(avatar_split_clause,[],[f106,f146,f212]) ).
fof(f106,plain,
( sk_c11 = sF8
| sk_c9 = sF12 ),
inference(definition_folding,[],[f16,f80,f71]) ).
fof(f16,axiom,
( sk_c11 = inverse(sk_c1)
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f218,plain,
( spl15_1
| spl15_17 ),
inference(avatar_split_clause,[],[f75,f206,f124]) ).
fof(f75,plain,
( sk_c11 = sF9
| sk_c10 = sF3 ),
inference(definition_folding,[],[f28,f62,f73]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f217,plain,
( spl15_12
| spl15_16 ),
inference(avatar_split_clause,[],[f95,f199,f171]) ).
fof(f95,plain,
( sk_c10 = sF6
| sk_c10 = sF13 ),
inference(definition_folding,[],[f47,f83,f67]) ).
fof(f47,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f216,plain,
( spl15_13
| spl15_17 ),
inference(avatar_split_clause,[],[f96,f206,f178]) ).
fof(f96,plain,
( sk_c11 = sF9
| sk_c9 = sF7 ),
inference(definition_folding,[],[f38,f73,f69]) ).
fof(f38,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f215,plain,
( spl15_18
| spl15_13 ),
inference(avatar_split_clause,[],[f120,f178,f212]) ).
fof(f120,plain,
( sk_c9 = sF7
| sk_c9 = sF12 ),
inference(definition_folding,[],[f36,f69,f80]) ).
fof(f36,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f210,plain,
( spl15_8
| spl15_16 ),
inference(avatar_split_clause,[],[f68,f199,f156]) ).
fof(f68,plain,
( sk_c10 = sF6
| sk_c8 = sF4 ),
inference(definition_folding,[],[f52,f67,f63]) ).
fof(f52,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f209,plain,
( spl15_17
| spl15_4 ),
inference(avatar_split_clause,[],[f74,f137,f206]) ).
fof(f74,plain,
( sk_c10 = sF0
| sk_c11 = sF9 ),
inference(definition_folding,[],[f8,f73,f57]) ).
fof(f8,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f204,plain,
( spl15_3
| spl15_16 ),
inference(avatar_split_clause,[],[f111,f199,f133]) ).
fof(f111,plain,
( sk_c10 = sF6
| sk_c11 = sF5 ),
inference(definition_folding,[],[f50,f65,f67]) ).
fof(f50,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f203,plain,
( spl15_14
| spl15_13 ),
inference(avatar_split_clause,[],[f90,f178,f183]) ).
fof(f90,plain,
( sk_c9 = sF7
| sk_c8 = sF10 ),
inference(definition_folding,[],[f39,f69,f76]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f202,plain,
( spl15_16
| spl15_7 ),
inference(avatar_split_clause,[],[f104,f151,f199]) ).
fof(f104,plain,
( sk_c6 = sF11
| sk_c10 = sF6 ),
inference(definition_folding,[],[f51,f67,f78]) ).
fof(f51,axiom,
( inverse(sk_c7) = sk_c6
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f197,plain,
( spl15_4
| spl15_5 ),
inference(avatar_split_clause,[],[f118,f142,f137]) ).
fof(f118,plain,
( sk_c11 = sF14
| sk_c10 = sF0 ),
inference(definition_folding,[],[f5,f57,f88]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f195,plain,
( spl15_14
| spl15_6 ),
inference(avatar_split_clause,[],[f122,f146,f183]) ).
fof(f122,plain,
( sk_c11 = sF8
| sk_c8 = sF10 ),
inference(definition_folding,[],[f19,f71,f76]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f194,plain,
( spl15_4
| spl15_14 ),
inference(avatar_split_clause,[],[f114,f183,f137]) ).
fof(f114,plain,
( sk_c8 = sF10
| sk_c10 = sF0 ),
inference(definition_folding,[],[f9,f76,f57]) ).
fof(f9,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f193,plain,
( spl15_7
| spl15_4 ),
inference(avatar_split_clause,[],[f93,f137,f151]) ).
fof(f93,plain,
( sk_c10 = sF0
| sk_c6 = sF11 ),
inference(definition_folding,[],[f11,f78,f57]) ).
fof(f11,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f186,plain,
( spl15_14
| spl15_1 ),
inference(avatar_split_clause,[],[f77,f124,f183]) ).
fof(f77,plain,
( sk_c10 = sF3
| sk_c8 = sF10 ),
inference(definition_folding,[],[f29,f62,f76]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f181,plain,
( spl15_13
| spl15_5 ),
inference(avatar_split_clause,[],[f89,f142,f178]) ).
fof(f89,plain,
( sk_c11 = sF14
| sk_c9 = sF7 ),
inference(definition_folding,[],[f35,f88,f69]) ).
fof(f35,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f176,plain,
( spl15_12
| spl15_4 ),
inference(avatar_split_clause,[],[f100,f137,f171]) ).
fof(f100,plain,
( sk_c10 = sF0
| sk_c10 = sF13 ),
inference(definition_folding,[],[f7,f57,f83]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f175,plain,
( spl15_4
| spl15_8 ),
inference(avatar_split_clause,[],[f116,f156,f137]) ).
fof(f116,plain,
( sk_c8 = sF4
| sk_c10 = sF0 ),
inference(definition_folding,[],[f12,f63,f57]) ).
fof(f12,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f174,plain,
( spl15_1
| spl15_12 ),
inference(avatar_split_clause,[],[f113,f171,f124]) ).
fof(f113,plain,
( sk_c10 = sF13
| sk_c10 = sF3 ),
inference(definition_folding,[],[f27,f83,f62]) ).
fof(f27,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f169,plain,
( ~ spl15_1
| spl15_9
| spl15_10
| spl15_9
| spl15_11
| spl15_10 ),
inference(avatar_split_clause,[],[f101,f164,f167,f161,f164,f161,f124]) ).
fof(f101,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X3,sk_c11)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(X5,sk_c11)
| sk_c10 != inverse(X4)
| inverse(X7) != inverse(inverse(X9))
| sk_c10 != sF3
| sk_c9 != multiply(X4,sk_c10)
| sk_c11 != inverse(X5)
| sk_c11 != inverse(X3)
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c11 != multiply(X7,inverse(X7)) ),
inference(definition_folding,[],[f56,f62]) ).
fof(f56,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X5)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c11 != inverse(X3)
| sk_c11 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X5,sk_c11)
| inverse(X7) != inverse(inverse(X9))
| sk_c9 != multiply(X4,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X4)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c10 != multiply(X3,sk_c11) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X10,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X5)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c11 != inverse(X3)
| sk_c11 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X5,sk_c11)
| inverse(X9) != X10
| inverse(X7) != inverse(X10)
| sk_c9 != multiply(X4,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X4)
| multiply(X9,inverse(X7)) != X10
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c10 != multiply(X3,sk_c11) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X5)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(sk_c11,sk_c9)
| inverse(X7) != X8
| sk_c11 != inverse(X3)
| sk_c11 != multiply(X7,X8)
| sk_c10 != multiply(X5,sk_c11)
| inverse(X9) != X10
| inverse(X10) != X8
| sk_c9 != multiply(X4,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X4)
| multiply(X9,X8) != X10
| sk_c11 != multiply(X8,sk_c10)
| sk_c10 != multiply(X3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f159,plain,
( spl15_6
| spl15_8 ),
inference(avatar_split_clause,[],[f119,f156,f146]) ).
fof(f119,plain,
( sk_c8 = sF4
| sk_c11 = sF8 ),
inference(definition_folding,[],[f22,f63,f71]) ).
fof(f22,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f154,plain,
( spl15_6
| spl15_7 ),
inference(avatar_split_clause,[],[f121,f151,f146]) ).
fof(f121,plain,
( sk_c6 = sF11
| sk_c11 = sF8 ),
inference(definition_folding,[],[f21,f78,f71]) ).
fof(f21,axiom,
( sk_c11 = inverse(sk_c1)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f149,plain,
( spl15_5
| spl15_6 ),
inference(avatar_split_clause,[],[f102,f146,f142]) ).
fof(f102,plain,
( sk_c11 = sF8
| sk_c11 = sF14 ),
inference(definition_folding,[],[f15,f88,f71]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f140,plain,
( spl15_3
| spl15_4 ),
inference(avatar_split_clause,[],[f66,f137,f133]) ).
fof(f66,plain,
( sk_c10 = sF0
| sk_c11 = sF5 ),
inference(definition_folding,[],[f10,f65,f57]) ).
fof(f10,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f131,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f105,f128,f124]) ).
fof(f105,plain,
( sk_c10 = sF1
| sk_c10 = sF3 ),
inference(definition_folding,[],[f24,f58,f62]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP271-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:20:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (18373)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)
% 0.20/0.51 % (18372)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)
% 0.20/0.51 % (18367)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.51 % (18365)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)
% 0.20/0.51 % (18385)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)
% 0.20/0.51 % (18363)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)
% 0.20/0.52 % (18373)Instruction limit reached!
% 0.20/0.52 % (18373)------------------------------
% 0.20/0.52 % (18373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (18364)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)
% 0.20/0.52 % (18364)Instruction limit reached!
% 0.20/0.52 % (18364)------------------------------
% 0.20/0.52 % (18364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (18373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (18373)Termination reason: Unknown
% 0.20/0.52 % (18373)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (18373)Memory used [KB]: 5884
% 0.20/0.52 % (18373)Time elapsed: 0.108 s
% 0.20/0.52 % (18373)Instructions burned: 7 (million)
% 0.20/0.52 % (18373)------------------------------
% 0.20/0.52 % (18373)------------------------------
% 0.20/0.52 % (18380)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.52 % (18364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (18364)Termination reason: Unknown
% 0.20/0.52 % (18364)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (18364)Memory used [KB]: 5884
% 0.20/0.52 % (18364)Time elapsed: 0.005 s
% 0.20/0.52 % (18364)Instructions burned: 4 (million)
% 0.20/0.52 % (18364)------------------------------
% 0.20/0.52 % (18364)------------------------------
% 0.20/0.52 % (18362)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.52 % (18378)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)
% 0.20/0.53 % (18392)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)
% 0.20/0.53 % (18390)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)
% 0.20/0.53 % (18370)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)
% 0.20/0.53 % (18391)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)
% 0.20/0.54 % (18366)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)
% 0.20/0.54 % (18368)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)
% 0.20/0.54 % (18388)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)
% 0.20/0.54 % (18383)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)
% 0.20/0.54 % (18383)Instruction limit reached!
% 0.20/0.54 % (18383)------------------------------
% 0.20/0.54 % (18383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (18383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (18383)Termination reason: Unknown
% 0.20/0.54 % (18383)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (18383)Memory used [KB]: 1407
% 0.20/0.54 % (18383)Time elapsed: 0.005 s
% 0.20/0.54 % (18383)Instructions burned: 6 (million)
% 0.20/0.54 % (18383)------------------------------
% 0.20/0.54 % (18383)------------------------------
% 0.20/0.54 % (18381)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)
% 0.20/0.54 % (18387)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)
% 0.20/0.54 % (18374)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)
% 0.20/0.54 % (18376)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)
% 0.20/0.55 % (18376)Instruction limit reached!
% 0.20/0.55 % (18376)------------------------------
% 0.20/0.55 % (18376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (18387)Refutation not found, incomplete strategy% (18387)------------------------------
% 0.20/0.55 % (18387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (18387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (18387)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (18387)Memory used [KB]: 5884
% 0.20/0.55 % (18387)Time elapsed: 0.093 s
% 0.20/0.55 % (18387)Instructions burned: 5 (million)
% 0.20/0.55 % (18387)------------------------------
% 0.20/0.55 % (18387)------------------------------
% 0.20/0.55 % (18376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (18376)Termination reason: Unknown
% 0.20/0.55 % (18376)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (18376)Memory used [KB]: 5756
% 0.20/0.55 % (18376)Time elapsed: 0.003 s
% 0.20/0.55 % (18376)Instructions burned: 3 (million)
% 0.20/0.55 % (18376)------------------------------
% 0.20/0.55 % (18376)------------------------------
% 0.20/0.55 % (18382)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)
% 0.20/0.55 % (18384)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)
% 0.20/0.55 % (18378)Instruction limit reached!
% 0.20/0.55 % (18378)------------------------------
% 0.20/0.55 % (18378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (18378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (18378)Termination reason: Unknown
% 0.20/0.55 % (18378)Termination phase: Finite model building preprocessing
% 0.20/0.55
% 0.20/0.55 % (18378)Memory used [KB]: 1535
% 0.20/0.55 % (18378)Time elapsed: 0.004 s
% 0.20/0.55 % (18378)Instructions burned: 6 (million)
% 0.20/0.55 % (18378)------------------------------
% 0.20/0.55 % (18378)------------------------------
% 0.20/0.55 % (18389)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)
% 1.47/0.55 % (18379)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)
% 1.47/0.55 % (18370)Refutation not found, incomplete strategy% (18370)------------------------------
% 1.47/0.55 % (18370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (18379)Instruction limit reached!
% 1.47/0.55 % (18379)------------------------------
% 1.47/0.55 % (18379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (18379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (18379)Termination reason: Unknown
% 1.47/0.55 % (18379)Termination phase: Property scanning
% 1.47/0.55
% 1.47/0.55 % (18379)Memory used [KB]: 1279
% 1.47/0.55 % (18379)Time elapsed: 0.003 s
% 1.47/0.55 % (18379)Instructions burned: 3 (million)
% 1.47/0.55 % (18379)------------------------------
% 1.47/0.55 % (18379)------------------------------
% 1.47/0.55 % (18375)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)
% 1.47/0.55 % (18370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (18370)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.55
% 1.47/0.55 % (18370)Memory used [KB]: 5884
% 1.47/0.55 % (18370)Time elapsed: 0.112 s
% 1.47/0.55 % (18370)Instructions burned: 5 (million)
% 1.47/0.55 % (18370)------------------------------
% 1.47/0.55 % (18370)------------------------------
% 1.47/0.55 % (18377)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)
% 1.47/0.56 % (18371)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)
% 1.47/0.56 % (18384)Refutation not found, incomplete strategy% (18384)------------------------------
% 1.47/0.56 % (18384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (18384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (18384)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.56
% 1.47/0.56 % (18384)Memory used [KB]: 5884
% 1.47/0.56 % (18384)Time elapsed: 0.146 s
% 1.47/0.56 % (18384)Instructions burned: 4 (million)
% 1.47/0.56 % (18384)------------------------------
% 1.47/0.56 % (18384)------------------------------
% 1.47/0.56 % (18380)Instruction limit reached!
% 1.47/0.56 % (18380)------------------------------
% 1.47/0.56 % (18380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (18380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (18380)Termination reason: Unknown
% 1.47/0.56 % (18380)Termination phase: Saturation
% 1.47/0.56
% 1.47/0.56 % (18371)Instruction limit reached!
% 1.47/0.56 % (18371)------------------------------
% 1.47/0.56 % (18371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (18380)Memory used [KB]: 6012
% 1.47/0.56 % (18382)Instruction limit reached!
% 1.47/0.56 % (18382)------------------------------
% 1.47/0.56 % (18382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (18380)Time elapsed: 0.150 s
% 1.47/0.56 % (18371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (18380)Instructions burned: 8 (million)
% 1.47/0.56 % (18371)Termination reason: Unknown
% 1.47/0.56 % (18382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (18380)------------------------------
% 1.47/0.56 % (18380)------------------------------
% 1.47/0.56 % (18371)Termination phase: Saturation
% 1.47/0.56 % (18382)Termination reason: Unknown
% 1.47/0.56
% 1.47/0.56 % (18382)Termination phase: Saturation
% 1.47/0.56
% 1.47/0.56 % (18371)Memory used [KB]: 5884
% 1.47/0.56 % (18382)Memory used [KB]: 6012
% 1.47/0.56 % (18371)Time elapsed: 0.004 s
% 1.47/0.56 % (18382)Time elapsed: 0.148 s
% 1.47/0.56 % (18371)Instructions burned: 3 (million)
% 1.47/0.56 % (18382)Instructions burned: 8 (million)
% 1.47/0.56 % (18371)------------------------------
% 1.47/0.56 % (18371)------------------------------
% 1.47/0.56 % (18382)------------------------------
% 1.47/0.56 % (18382)------------------------------
% 1.47/0.56 % (18393)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)
% 1.47/0.56 % (18392)Instruction limit reached!
% 1.47/0.56 % (18392)------------------------------
% 1.47/0.56 % (18392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (18392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (18392)Termination reason: Unknown
% 1.47/0.56 % (18392)Termination phase: Saturation
% 1.47/0.56
% 1.47/0.56 % (18392)Memory used [KB]: 6268
% 1.47/0.56 % (18392)Time elapsed: 0.160 s
% 1.47/0.56 % (18392)Instructions burned: 21 (million)
% 1.47/0.56 % (18392)------------------------------
% 1.47/0.56 % (18392)------------------------------
% 1.47/0.56 % (18367)Instruction limit reached!
% 1.47/0.56 % (18367)------------------------------
% 1.47/0.56 % (18367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.57 % (18367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.57 % (18367)Termination reason: Unknown
% 1.70/0.57 % (18367)Termination phase: Saturation
% 1.70/0.57
% 1.70/0.57 % (18375)Instruction limit reached!
% 1.70/0.57 % (18375)------------------------------
% 1.70/0.57 % (18375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.57 % (18375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.57 % (18375)Termination reason: Unknown
% 1.70/0.57 % (18375)Termination phase: Saturation
% 1.70/0.57
% 1.70/0.57 % (18375)Memory used [KB]: 6012
% 1.70/0.57 % (18375)Time elapsed: 0.150 s
% 1.70/0.57 % (18375)Instructions burned: 6 (million)
% 1.70/0.57 % (18375)------------------------------
% 1.70/0.57 % (18375)------------------------------
% 1.70/0.57 % (18367)Memory used [KB]: 6268
% 1.70/0.57 % (18367)Time elapsed: 0.145 s
% 1.70/0.57 % (18367)Instructions burned: 26 (million)
% 1.70/0.57 % (18367)------------------------------
% 1.70/0.57 % (18367)------------------------------
% 1.70/0.58 % (18366)Instruction limit reached!
% 1.70/0.58 % (18366)------------------------------
% 1.70/0.58 % (18366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58 % (18363)Instruction limit reached!
% 1.70/0.58 % (18363)------------------------------
% 1.70/0.58 % (18363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58 % (18363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58 % (18363)Termination reason: Unknown
% 1.70/0.58 % (18363)Termination phase: Saturation
% 1.70/0.58
% 1.70/0.58 % (18363)Memory used [KB]: 1663
% 1.70/0.58 % (18363)Time elapsed: 0.167 s
% 1.70/0.58 % (18363)Instructions burned: 44 (million)
% 1.70/0.58 % (18363)------------------------------
% 1.70/0.58 % (18363)------------------------------
% 1.70/0.58 % (18366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58 % (18366)Termination reason: Unknown
% 1.70/0.58 % (18366)Termination phase: Saturation
% 1.70/0.58
% 1.70/0.58 % (18366)Memory used [KB]: 6652
% 1.70/0.58 % (18366)Time elapsed: 0.170 s
% 1.70/0.58 % (18366)Instructions burned: 36 (million)
% 1.70/0.58 % (18366)------------------------------
% 1.70/0.58 % (18366)------------------------------
% 1.70/0.58 % (18374)Instruction limit reached!
% 1.70/0.58 % (18374)------------------------------
% 1.70/0.58 % (18374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58 % (18374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58 % (18374)Termination reason: Unknown
% 1.70/0.58 % (18374)Termination phase: Saturation
% 1.70/0.58
% 1.70/0.58 % (18374)Memory used [KB]: 6268
% 1.70/0.58 % (18374)Time elapsed: 0.183 s
% 1.70/0.58 % (18374)Instructions burned: 24 (million)
% 1.70/0.58 % (18374)------------------------------
% 1.70/0.58 % (18374)------------------------------
% 1.70/0.59 % (18389)Refutation not found, incomplete strategy% (18389)------------------------------
% 1.70/0.59 % (18389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59 % (18389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59 % (18389)Termination reason: Refutation not found, incomplete strategy
% 1.70/0.59
% 1.70/0.59 % (18389)Memory used [KB]: 6140
% 1.70/0.59 % (18389)Time elapsed: 0.161 s
% 1.70/0.59 % (18389)Instructions burned: 16 (million)
% 1.70/0.59 % (18389)------------------------------
% 1.70/0.59 % (18389)------------------------------
% 1.70/0.59 % (18365)Instruction limit reached!
% 1.70/0.59 % (18365)------------------------------
% 1.70/0.59 % (18365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59 % (18365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59 % (18365)Termination reason: Unknown
% 1.70/0.59 % (18365)Termination phase: Saturation
% 1.70/0.59
% 1.70/0.59 % (18365)Memory used [KB]: 6524
% 1.70/0.59 % (18365)Time elapsed: 0.175 s
% 1.70/0.59 % (18365)Instructions burned: 43 (million)
% 1.70/0.59 % (18365)------------------------------
% 1.70/0.59 % (18365)------------------------------
% 1.70/0.59 % (18381)Instruction limit reached!
% 1.70/0.59 % (18381)------------------------------
% 1.70/0.59 % (18381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59 % (18381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59 % (18381)Termination reason: Unknown
% 1.70/0.59 % (18381)Termination phase: Saturation
% 1.70/0.59
% 1.70/0.59 % (18381)Memory used [KB]: 10746
% 1.70/0.59 % (18381)Time elapsed: 0.190 s
% 1.70/0.59 % (18381)Instructions burned: 29 (million)
% 1.70/0.59 % (18381)------------------------------
% 1.70/0.59 % (18381)------------------------------
% 1.70/0.60 % (18368)Instruction limit reached!
% 1.70/0.60 % (18368)------------------------------
% 1.70/0.60 % (18368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.60 % (18368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.60 % (18368)Termination reason: Unknown
% 1.70/0.60 % (18368)Termination phase: Saturation
% 1.70/0.60
% 1.70/0.60 % (18368)Memory used [KB]: 1663
% 1.70/0.60 % (18368)Time elapsed: 0.174 s
% 1.70/0.60 % (18368)Instructions burned: 51 (million)
% 1.70/0.60 % (18368)------------------------------
% 1.70/0.60 % (18368)------------------------------
% 1.70/0.60 % (18372)Instruction limit reached!
% 1.70/0.60 % (18372)------------------------------
% 1.70/0.60 % (18372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.60 % (18372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.60 % (18372)Termination reason: Unknown
% 1.70/0.60 % (18372)Termination phase: Saturation
% 1.70/0.60
% 1.70/0.60 % (18372)Memory used [KB]: 6652
% 1.70/0.60 % (18372)Time elapsed: 0.187 s
% 1.70/0.60 % (18372)Instructions burned: 52 (million)
% 1.70/0.60 % (18372)------------------------------
% 1.70/0.60 % (18372)------------------------------
% 1.70/0.61 % (18388)Instruction limit reached!
% 1.70/0.61 % (18388)------------------------------
% 1.70/0.61 % (18388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.61 % (18377)Instruction limit reached!
% 1.70/0.61 % (18377)------------------------------
% 1.70/0.61 % (18377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.61 % (18377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.61 % (18377)Termination reason: Unknown
% 1.70/0.61 % (18377)Termination phase: Saturation
% 1.70/0.61
% 1.70/0.61 % (18377)Memory used [KB]: 1663
% 1.70/0.61 % (18377)Time elapsed: 0.209 s
% 1.70/0.61 % (18377)Instructions burned: 30 (million)
% 1.70/0.61 % (18377)------------------------------
% 1.70/0.61 % (18377)------------------------------
% 1.70/0.62 % (18391)Instruction limit reached!
% 1.70/0.62 % (18391)------------------------------
% 1.70/0.62 % (18391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.63 % (18388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.63 % (18388)Termination reason: Unknown
% 2.01/0.63 % (18388)Termination phase: Saturation
% 2.01/0.63
% 2.01/0.63 % (18388)Memory used [KB]: 6780
% 2.01/0.63 % (18388)Time elapsed: 0.198 s
% 2.01/0.63 % (18484)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/14Mi)
% 2.01/0.63 % (18388)Instructions burned: 47 (million)
% 2.01/0.63 % (18388)------------------------------
% 2.01/0.63 % (18388)------------------------------
% 2.01/0.64 % (18391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.64 % (18391)Termination reason: Unknown
% 2.01/0.64 % (18391)Termination phase: Saturation
% 2.01/0.64
% 2.01/0.64 % (18391)Memory used [KB]: 2302
% 2.01/0.64 % (18391)Time elapsed: 0.219 s
% 2.01/0.64 % (18391)Instructions burned: 73 (million)
% 2.01/0.64 % (18391)------------------------------
% 2.01/0.64 % (18391)------------------------------
% 2.01/0.64 % (18485)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 2.01/0.64 % (18390)Instruction limit reached!
% 2.01/0.64 % (18390)------------------------------
% 2.01/0.64 % (18390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.64 % (18390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.64 % (18390)Termination reason: Unknown
% 2.01/0.64 % (18390)Termination phase: Saturation
% 2.01/0.64
% 2.01/0.64 % (18390)Memory used [KB]: 6652
% 2.01/0.64 % (18390)Time elapsed: 0.218 s
% 2.01/0.64 % (18390)Instructions burned: 72 (million)
% 2.01/0.64 % (18390)------------------------------
% 2.01/0.64 % (18390)------------------------------
% 2.01/0.66 % (18485)Refutation not found, incomplete strategy% (18485)------------------------------
% 2.01/0.66 % (18485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.66 % (18484)Instruction limit reached!
% 2.01/0.66 % (18484)------------------------------
% 2.01/0.66 % (18484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.66 % (18484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.66 % (18484)Termination reason: Unknown
% 2.01/0.66 % (18484)Termination phase: Saturation
% 2.01/0.66
% 2.01/0.66 % (18484)Memory used [KB]: 6140
% 2.01/0.66 % (18484)Time elapsed: 0.088 s
% 2.01/0.66 % (18484)Instructions burned: 15 (million)
% 2.01/0.66 % (18484)------------------------------
% 2.01/0.66 % (18484)------------------------------
% 2.01/0.66 % (18489)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 (2998ds/3Mi)
% 2.09/0.66 % (18385)Instruction limit reached!
% 2.09/0.66 % (18385)------------------------------
% 2.09/0.66 % (18385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.66 % (18485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66 % (18485)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.66
% 2.09/0.66 % (18485)Memory used [KB]: 6012
% 2.09/0.66 % (18485)Time elapsed: 0.093 s
% 2.09/0.66 % (18485)Instructions burned: 9 (million)
% 2.09/0.66 % (18485)------------------------------
% 2.09/0.66 % (18485)------------------------------
% 2.09/0.66 % (18385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66 % (18385)Termination reason: Unknown
% 2.09/0.66 % (18385)Termination phase: Saturation
% 2.09/0.66
% 2.09/0.66 % (18385)Memory used [KB]: 6780
% 2.09/0.66 % (18385)Time elapsed: 0.247 s
% 2.09/0.66 % (18385)Instructions burned: 98 (million)
% 2.09/0.66 % (18385)------------------------------
% 2.09/0.66 % (18385)------------------------------
% 2.09/0.66 % (18491)dis+21_1:2_av=off:bd=off:fd=off:lcm=predicate:nwc=10.0:s2a=on:s2at=2.0:sp=reverse_arity:spb=goal:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/29Mi)
% 2.09/0.67 % (18492)dis+1002_1:32_av=off:awrs=decay:awrsf=16:bs=on:fsr=off:gs=on:gsp=on:nwc=1.4:s2a=on:s2agt=32:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/34Mi)
% 2.09/0.67 % (18490)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 2.09/0.68 % (18489)Instruction limit reached!
% 2.09/0.68 % (18489)------------------------------
% 2.09/0.68 % (18489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.68 % (18489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.68 % (18489)Termination reason: Unknown
% 2.09/0.68 % (18489)Termination phase: Property scanning
% 2.09/0.68
% 2.09/0.68 % (18489)Memory used [KB]: 1279
% 2.09/0.68 % (18489)Time elapsed: 0.002 s
% 2.09/0.68 % (18489)Instructions burned: 3 (million)
% 2.09/0.68 % (18489)------------------------------
% 2.09/0.68 % (18489)------------------------------
% 2.09/0.68 % (18493)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 2.09/0.68 % (18502)lrs+1011_1:64_nwc=3.0:s2a=on:sd=1:sgt=64:ss=included:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/37Mi)
% 2.09/0.68 % (18495)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/75Mi)
% 2.09/0.70 % (18491)Instruction limit reached!
% 2.09/0.70 % (18491)------------------------------
% 2.09/0.70 % (18491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.70 % (18491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.70 % (18491)Termination reason: Unknown
% 2.09/0.70 % (18491)Termination phase: Saturation
% 2.09/0.70 % (18494)fmb+10_1:1_fde=unused:fmbsr=1.78:fmbsso=preprocessed_usage:gsp=on:ins=1:newcnf=on:updr=off:i=22:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/22Mi)
% 2.09/0.70
% 2.09/0.70 % (18491)Memory used [KB]: 1535
% 2.09/0.70 % (18491)Time elapsed: 0.105 s
% 2.09/0.70 % (18491)Instructions burned: 29 (million)
% 2.09/0.70 % (18491)------------------------------
% 2.09/0.70 % (18491)------------------------------
% 2.09/0.70 TRYING [1]
% 2.09/0.70 % (18508)lrs+1011_1:1_ep=RS:flr=on:nm=2:sos=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.09/0.70 % (18506)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/147Mi)
% 2.09/0.70 TRYING [2]
% 2.09/0.70 % (18497)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=151:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/151Mi)
% 2.09/0.70 % (18512)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=116:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/116Mi)
% 2.09/0.71 % (18513)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.09/0.71 % (18508)Refutation not found, incomplete strategy% (18508)------------------------------
% 2.09/0.71 % (18508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.71 % (18511)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=151:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/151Mi)
% 2.09/0.71 % (18508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.71 % (18508)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.71
% 2.09/0.71 % (18508)Memory used [KB]: 5884
% 2.09/0.71 % (18508)Time elapsed: 0.108 s
% 2.09/0.71 % (18508)Instructions burned: 5 (million)
% 2.09/0.71 % (18508)------------------------------
% 2.09/0.71 % (18508)------------------------------
% 2.09/0.71 % (18496)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.09/0.72 % (18490)Instruction limit reached!
% 2.09/0.72 % (18490)------------------------------
% 2.09/0.72 % (18490)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.72 % (18490)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.72 % (18490)Termination reason: Unknown
% 2.09/0.72 % (18490)Termination phase: Saturation
% 2.09/0.72
% 2.09/0.72 % (18490)Memory used [KB]: 6396
% 2.09/0.72 % (18490)Time elapsed: 0.136 s
% 2.09/0.72 % (18490)Instructions burned: 34 (million)
% 2.09/0.72 % (18490)------------------------------
% 2.09/0.72 % (18490)------------------------------
% 2.09/0.72 % (18496)Instruction limit reached!
% 2.09/0.72 % (18496)------------------------------
% 2.09/0.72 % (18496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.72 % (18513)Instruction limit reached!
% 2.09/0.72 % (18513)------------------------------
% 2.09/0.72 % (18513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.72 % (18507)lrs+1011_1:7_av=off:bsr=on:fd=preordered:nwc=5.0:s2a=on:s2at=2.0:sp=reverse_frequency:to=lpo:urr=on:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/45Mi)
% 2.09/0.72 % (18513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.72 % (18513)Termination reason: Unknown
% 2.09/0.72 % (18513)Termination phase: Saturation
% 2.09/0.72
% 2.09/0.72 % (18513)Memory used [KB]: 6012
% 2.09/0.72 % (18513)Time elapsed: 0.107 s
% 2.09/0.72 % (18513)Instructions burned: 8 (million)
% 2.09/0.72 % (18513)------------------------------
% 2.09/0.72 % (18513)------------------------------
% 2.09/0.72 % (18515)lrs+1011_1:1_aac=none:drc=off:fsr=off:nwc=2.0:sp=occurrence:ss=included:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.09/0.72 % (18492)Instruction limit reached!
% 2.09/0.72 % (18492)------------------------------
% 2.09/0.72 % (18492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.72 % (18492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.72 % (18492)Termination reason: Unknown
% 2.09/0.72 % (18492)Termination phase: Saturation
% 2.09/0.72
% 2.09/0.72 % (18492)Memory used [KB]: 6396
% 2.09/0.72 % (18492)Time elapsed: 0.132 s
% 2.09/0.72 % (18492)Instructions burned: 36 (million)
% 2.09/0.72 % (18492)------------------------------
% 2.09/0.72 % (18492)------------------------------
% 2.09/0.72 TRYING [3]
% 2.09/0.72 % (18517)lrs+2_1:1_drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=57:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/57Mi)
% 2.09/0.72 % (18494)Instruction limit reached!
% 2.09/0.72 % (18494)------------------------------
% 2.09/0.72 % (18494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.72 % (18494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.72 % (18494)Termination reason: Unknown
% 2.09/0.72 % (18494)Termination phase: Finite model building constraint generation
% 2.09/0.72
% 2.09/0.72 % (18494)Memory used [KB]: 6524
% 2.09/0.72 % (18494)Time elapsed: 0.117 s
% 2.09/0.72 % (18494)Instructions burned: 23 (million)
% 2.09/0.72 % (18494)------------------------------
% 2.09/0.72 % (18494)------------------------------
% 2.45/0.73 % (18519)lrs+1011_1:6_av=off:bce=on:ins=1:nwc=2.0:tgt=ground:thsq=on:thsqc=32:updr=off:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.45/0.73 % (18496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.73 % (18496)Termination reason: Unknown
% 2.45/0.73 % (18496)Termination phase: Saturation
% 2.45/0.73 % (18393)Instruction limit reached!
% 2.45/0.73 % (18393)------------------------------
% 2.45/0.73 % (18393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.73
% 2.45/0.73 % (18496)Memory used [KB]: 6012
% 2.45/0.73 % (18496)Time elapsed: 0.125 s
% 2.45/0.73 % (18496)Instructions burned: 7 (million)
% 2.45/0.73 % (18496)------------------------------
% 2.45/0.73 % (18496)------------------------------
% 2.45/0.73 % (18393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.73 % (18393)Termination reason: Unknown
% 2.45/0.73 % (18393)Termination phase: Saturation
% 2.45/0.73
% 2.45/0.73 % (18393)Memory used [KB]: 7675
% 2.45/0.73 % (18393)Time elapsed: 0.306 s
% 2.45/0.73 % (18393)Instructions burned: 101 (million)
% 2.45/0.73 % (18393)------------------------------
% 2.45/0.73 % (18393)------------------------------
% 2.45/0.74 % (18525)dis+1010_1:4_atotf=0.3:fsr=off:nwc=5.0:s2a=on:s2at=5.0:slsq=on:slsqc=1:slsqr=3,2:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/92Mi)
% 2.45/0.74 % (18526)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=307:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/307Mi)
% 2.45/0.75 % (18530)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=137:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/137Mi)
% 2.45/0.75 % (18536)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/108Mi)
% 2.45/0.76 % (18493)Instruction limit reached!
% 2.45/0.76 % (18493)------------------------------
% 2.45/0.76 % (18493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.76 % (18493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.76 % (18493)Termination reason: Unknown
% 2.45/0.76 % (18493)Termination phase: Saturation
% 2.45/0.76
% 2.45/0.76 % (18493)Memory used [KB]: 6780
% 2.45/0.76 % (18493)Time elapsed: 0.169 s
% 2.45/0.76 % (18493)Instructions burned: 46 (million)
% 2.45/0.76 % (18493)------------------------------
% 2.45/0.76 % (18493)------------------------------
% 2.45/0.76 % (18550)lrs+10_2:3_anc=all:br=off:fsr=off:nwc=5.0:s2a=on:s2agt=10:urr=on:i=490:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/490Mi)
% 2.45/0.76 % (18502)Instruction limit reached!
% 2.45/0.76 % (18502)------------------------------
% 2.45/0.76 % (18502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.76 % (18502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.76 % (18502)Termination reason: Unknown
% 2.45/0.76 % (18502)Termination phase: Saturation
% 2.45/0.76
% 2.45/0.76 % (18502)Memory used [KB]: 6396
% 2.45/0.76 % (18502)Time elapsed: 0.159 s
% 2.45/0.76 % (18502)Instructions burned: 38 (million)
% 2.45/0.76 % (18502)------------------------------
% 2.45/0.76 % (18502)------------------------------
% 2.62/0.77 % (18551)lrs+10_1:32_awrs=converge:awrsf=20:drc=off:fd=preordered:slsq=on:slsqc=0:slsqr=1,2:sos=on:to=lpo:i=78:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/78Mi)
% 2.62/0.77 % (18530)Refutation not found, incomplete strategy% (18530)------------------------------
% 2.62/0.77 % (18530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.77 % (18530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.77 % (18530)Termination reason: Refutation not found, incomplete strategy
% 2.62/0.77
% 2.62/0.77 % (18530)Memory used [KB]: 6012
% 2.62/0.77 % (18530)Time elapsed: 0.131 s
% 2.62/0.77 % (18530)Instructions burned: 6 (million)
% 2.62/0.77 % (18530)------------------------------
% 2.62/0.77 % (18530)------------------------------
% 2.62/0.78 % (18540)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=278:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/278Mi)
% 2.62/0.78 % (18544)dis+10_1:1_br=off:plsq=on:plsqr=32,1:slsq=on:slsqc=1:slsqr=1,1:sp=frequency:to=lpo:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/500Mi)
% 2.62/0.80 % (18507)Instruction limit reached!
% 2.62/0.80 % (18507)------------------------------
% 2.62/0.80 % (18507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.80 % (18507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.80 % (18507)Termination reason: Unknown
% 2.62/0.80 % (18507)Termination phase: Saturation
% 2.62/0.80
% 2.62/0.80 % (18507)Memory used [KB]: 1791
% 2.62/0.80 % (18507)Time elapsed: 0.192 s
% 2.62/0.80 % (18507)Instructions burned: 47 (million)
% 2.62/0.80 % (18507)------------------------------
% 2.62/0.80 % (18507)------------------------------
% 2.62/0.80 % (18563)lrs+1011_1:1_ep=RS:flr=on:nm=2:sos=on:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/95Mi)
% 2.62/0.81 % (18548)ott+1010_1:1_acc=on:bd=off:br=off:bsr=on:drc=off:erd=off:nicw=on:sac=on:sos=on:to=lpo:urr=on:i=143:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/143Mi)
% 2.62/0.82 % (18495)Instruction limit reached!
% 2.62/0.82 % (18495)------------------------------
% 2.62/0.82 % (18495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.82 % (18517)Instruction limit reached!
% 2.62/0.82 % (18517)------------------------------
% 2.62/0.82 % (18517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.82 % (18517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.82 % (18517)Termination reason: Unknown
% 2.62/0.82 % (18517)Termination phase: Saturation
% 2.62/0.82
% 2.62/0.82 % (18517)Memory used [KB]: 6652
% 2.62/0.82 % (18517)Time elapsed: 0.191 s
% 2.62/0.82 % (18517)Instructions burned: 58 (million)
% 2.62/0.82 % (18517)------------------------------
% 2.62/0.82 % (18517)------------------------------
% 2.62/0.82 % (18495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.82 % (18495)Termination reason: Unknown
% 2.62/0.82 % (18495)Termination phase: Saturation
% 2.62/0.82
% 2.62/0.82 % (18495)Memory used [KB]: 1918
% 2.62/0.82 % (18495)Time elapsed: 0.232 s
% 2.62/0.82 % (18495)Instructions burned: 77 (million)
% 2.62/0.82 % (18495)------------------------------
% 2.62/0.82 % (18495)------------------------------
% 2.62/0.82 % (18580)dis+10_2:1_abs=on:fde=none:lcm=reverse:nwc=2.0:plsq=on:plsqc=1:plsql=on:plsqr=4095,256:s2a=on:sac=on:sp=reverse_arity:i=156:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/156Mi)
% 2.62/0.83 % (18589)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=240:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/240Mi)
% 2.62/0.83 % (18563)Refutation not found, incomplete strategy% (18563)------------------------------
% 2.62/0.83 % (18563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.83 % (18563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.83 % (18563)Termination reason: Refutation not found, incomplete strategy
% 2.62/0.83
% 2.62/0.83 % (18563)Memory used [KB]: 5884
% 2.62/0.83 % (18563)Time elapsed: 0.125 s
% 2.62/0.83 % (18563)Instructions burned: 5 (million)
% 2.62/0.83 % (18563)------------------------------
% 2.62/0.83 % (18563)------------------------------
% 2.62/0.83 % (18595)lrs+11_1:1_av=off:bce=on:bd=off:bsr=unit_only:flr=on:gs=on:nwc=2.0:rnwc=on:sp=frequency:thsq=on:thsqc=64:thsqd=1:thsql=off:to=lpo:i=298:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/298Mi)
% 2.90/0.84 % (18590)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=119:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/119Mi)
% 2.90/0.84 % (18362)First to succeed.
% 2.90/0.85 % (18590)Refutation not found, incomplete strategy% (18590)------------------------------
% 2.90/0.85 % (18590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.85 % (18590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.85 % (18590)Termination reason: Refutation not found, incomplete strategy
% 2.90/0.85
% 2.90/0.85 % (18590)Memory used [KB]: 1407
% 2.90/0.85 % (18590)Time elapsed: 0.088 s
% 2.90/0.85 % (18590)Instructions burned: 9 (million)
% 2.90/0.85 % (18590)------------------------------
% 2.90/0.85 % (18590)------------------------------
% 2.90/0.85 % (18519)Instruction limit reached!
% 2.90/0.85 % (18519)------------------------------
% 2.90/0.85 % (18519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.85 % (18519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.85 % (18519)Termination reason: Unknown
% 2.90/0.85 % (18519)Termination phase: Saturation
% 2.90/0.85
% 2.90/0.85 % (18519)Memory used [KB]: 2046
% 2.90/0.85 % (18519)Time elapsed: 0.234 s
% 2.90/0.85 % (18519)Instructions burned: 69 (million)
% 2.90/0.85 % (18519)------------------------------
% 2.90/0.85 % (18519)------------------------------
% 2.90/0.85 % (18597)dis+22_1:128_bsd=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/58Mi)
% 2.90/0.86 % (18592)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/141Mi)
% 2.90/0.87 % (18525)Instruction limit reached!
% 2.90/0.87 % (18525)------------------------------
% 2.90/0.87 % (18525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.87 % (18525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.87 % (18525)Termination reason: Unknown
% 2.90/0.87 % (18525)Termination phase: Saturation
% 2.90/0.87
% 2.90/0.87 % (18525)Memory used [KB]: 7036
% 2.90/0.87 % (18525)Time elapsed: 0.194 s
% 2.90/0.87 % (18525)Instructions burned: 92 (million)
% 2.90/0.87 % (18525)------------------------------
% 2.90/0.87 % (18525)------------------------------
% 3.07/0.87 % (18598)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 3.07/0.87 % (18599)dis+1003_1:128_av=off:nwc=5.0:s2a=on:sp=unary_frequency:tgt=full:to=lpo:i=378:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/378Mi)
% 3.07/0.87 % (18362)Refutation found. Thanks to Tanya!
% 3.07/0.87 % SZS status Unsatisfiable for theBenchmark
% 3.07/0.87 % SZS output start Proof for theBenchmark
% See solution above
% 3.07/0.87 % (18362)------------------------------
% 3.07/0.87 % (18362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.87 % (18362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.87 % (18362)Termination reason: Refutation
% 3.07/0.87
% 3.07/0.87 % (18362)Memory used [KB]: 8187
% 3.07/0.87 % (18362)Time elapsed: 0.428 s
% 3.07/0.87 % (18362)Instructions burned: 182 (million)
% 3.07/0.87 % (18362)------------------------------
% 3.07/0.87 % (18362)------------------------------
% 3.07/0.87 % (18359)Success in time 0.515 s
%------------------------------------------------------------------------------