TSTP Solution File: GRP263-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP263-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n032.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 : Sun May 5 05:47:07 EDT 2024
% Result : Unsatisfiable 0.74s 0.73s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 111
% Syntax : Number of formulae : 566 ( 41 unt; 0 def)
% Number of atoms : 2047 ( 501 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 2768 (1287 ~;1442 |; 0 &)
% ( 39 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 52 ( 50 usr; 40 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 27 con; 0-2 aty)
% Number of variables : 146 ( 146 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3803,plain,
$false,
inference(avatar_sat_refutation,[],[f148,f153,f158,f163,f168,f173,f178,f183,f194,f195,f196,f197,f198,f199,f200,f201,f207,f208,f209,f210,f211,f212,f213,f214,f215,f221,f222,f223,f224,f225,f226,f227,f228,f229,f230,f235,f236,f237,f238,f239,f240,f241,f264,f279,f285,f294,f490,f561,f582,f608,f613,f734,f764,f781,f787,f791,f862,f947,f1082,f1533,f1555,f1573,f1592,f1671,f1683,f1686,f1854,f1856,f1952,f2360,f2956,f3012,f3211,f3248,f3488,f3492,f3532,f3747,f3750,f3766,f3774,f3775,f3780,f3790]) ).
fof(f3790,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39
| ~ spl26_55 ),
inference(avatar_contradiction_clause,[],[f3789]) ).
fof(f3789,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39
| ~ spl26_55 ),
inference(subsumption_resolution,[],[f3788,f55]) ).
fof(f55,plain,
~ sP0(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f3788,plain,
( sP0(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39
| ~ spl26_55 ),
inference(forward_demodulation,[],[f861,f3683]) ).
fof(f3683,plain,
( identity = sk_c11
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39 ),
inference(forward_demodulation,[],[f3682,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',left_inverse) ).
fof(f3682,plain,
( sk_c11 = multiply(inverse(sk_c11),sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39 ),
inference(backward_demodulation,[],[f3551,f3660]) ).
fof(f3660,plain,
( sk_c11 = sk_c9
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39 ),
inference(backward_demodulation,[],[f3555,f3653]) ).
fof(f3653,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39 ),
inference(forward_demodulation,[],[f3647,f3526]) ).
fof(f3526,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c11,X0))
| ~ spl26_1
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f604,f3523]) ).
fof(f3523,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c10,X0)
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f1630,f3521]) ).
fof(f3521,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f3520,f1709]) ).
fof(f1709,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c2,multiply(sk_c10,X0))
| ~ spl26_13 ),
inference(forward_demodulation,[],[f312,f206]) ).
fof(f206,plain,
( sk_c9 = sF23
| ~ spl26_13 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl26_13
<=> sk_c9 = sF23 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_13])]) ).
fof(f312,plain,
! [X0] : multiply(sk_c2,multiply(sk_c10,X0)) = multiply(sF23,X0),
inference(superposition,[],[f3,f101]) ).
fof(f101,plain,
multiply(sk_c2,sk_c10) = sF23,
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',associativity) ).
fof(f3520,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c10,X0)) = X0
| ~ spl26_14 ),
inference(superposition,[],[f315,f3413]) ).
fof(f3413,plain,
( sk_c2 = inverse(sk_c10)
| ~ spl26_14 ),
inference(forward_demodulation,[],[f3411,f1397]) ).
fof(f1397,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[],[f1380,f1381]) ).
fof(f1381,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f315,f315]) ).
fof(f1380,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f315,f2]) ).
fof(f3411,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl26_14 ),
inference(superposition,[],[f315,f597]) ).
fof(f597,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl26_14 ),
inference(backward_demodulation,[],[f301,f220]) ).
fof(f220,plain,
( sk_c10 = sF24
| ~ spl26_14 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f218,plain,
( spl26_14
<=> sk_c10 = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_14])]) ).
fof(f301,plain,
identity = multiply(sF24,sk_c2),
inference(superposition,[],[f2,f112]) ).
fof(f112,plain,
inverse(sk_c2) = sF24,
introduced(function_definition,[new_symbols(definition,[sF24])]) ).
fof(f315,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f304,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',left_identity) ).
fof(f304,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f1630,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl26_15 ),
inference(forward_demodulation,[],[f308,f234]) ).
fof(f234,plain,
( sk_c11 = sF25
| ~ spl26_15 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl26_15
<=> sk_c11 = sF25 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_15])]) ).
fof(f308,plain,
! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = multiply(sF25,X0),
inference(superposition,[],[f3,f123]) ).
fof(f123,plain,
multiply(sk_c9,sk_c10) = sF25,
introduced(function_definition,[new_symbols(definition,[sF25])]) ).
fof(f604,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl26_1 ),
inference(backward_demodulation,[],[f305,f138]) ).
fof(f138,plain,
( sk_c10 = sF12
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl26_1
<=> sk_c10 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).
fof(f305,plain,
! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = multiply(sF12,X0),
inference(superposition,[],[f3,f70]) ).
fof(f70,plain,
multiply(sk_c1,sk_c11) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f3647,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = X0
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39 ),
inference(backward_demodulation,[],[f3525,f3645]) ).
fof(f3645,plain,
( sk_c1 = sk_c2
| ~ spl26_12
| ~ spl26_14
| ~ spl26_39 ),
inference(forward_demodulation,[],[f3553,f3586]) ).
fof(f3586,plain,
( sk_c1 = inverse(sk_c11)
| ~ spl26_12 ),
inference(forward_demodulation,[],[f3584,f1397]) ).
fof(f3584,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl26_12 ),
inference(superposition,[],[f315,f799]) ).
fof(f799,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl26_12 ),
inference(backward_demodulation,[],[f295,f192]) ).
fof(f192,plain,
( sk_c11 = sF22
| ~ spl26_12 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f190,plain,
( spl26_12
<=> sk_c11 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).
fof(f295,plain,
identity = multiply(sF22,sk_c1),
inference(superposition,[],[f2,f90]) ).
fof(f90,plain,
inverse(sk_c1) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f3553,plain,
( sk_c2 = inverse(sk_c11)
| ~ spl26_14
| ~ spl26_39 ),
inference(backward_demodulation,[],[f3413,f701]) ).
fof(f701,plain,
( sk_c11 = sk_c10
| ~ spl26_39 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f700,plain,
( spl26_39
<=> sk_c11 = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_39])]) ).
fof(f3525,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c11,X0)) = X0
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f3522,f3523]) ).
fof(f3522,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c10,X0)) = X0
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f1709,f3521]) ).
fof(f3555,plain,
( sk_c11 = multiply(sk_c11,sk_c9)
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39 ),
inference(backward_demodulation,[],[f3528,f701]) ).
fof(f3528,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f1982,f3523]) ).
fof(f1982,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1980,f598]) ).
fof(f598,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl26_14 ),
inference(backward_demodulation,[],[f112,f220]) ).
fof(f1980,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c9)
| ~ spl26_13 ),
inference(superposition,[],[f315,f1940]) ).
fof(f1940,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl26_13 ),
inference(forward_demodulation,[],[f101,f206]) ).
fof(f3551,plain,
( sk_c11 = multiply(inverse(sk_c9),sk_c11)
| ~ spl26_15
| ~ spl26_39 ),
inference(backward_demodulation,[],[f1975,f701]) ).
fof(f1975,plain,
( sk_c10 = multiply(inverse(sk_c9),sk_c11)
| ~ spl26_15 ),
inference(superposition,[],[f315,f1627]) ).
fof(f1627,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| ~ spl26_15 ),
inference(forward_demodulation,[],[f123,f234]) ).
fof(f861,plain,
( sP0(identity)
| ~ spl26_55 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f859,plain,
( spl26_55
<=> sP0(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_55])]) ).
fof(f3780,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_37
| ~ spl26_39
| ~ spl26_54 ),
inference(avatar_contradiction_clause,[],[f3779]) ).
fof(f3779,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_37
| ~ spl26_39
| ~ spl26_54 ),
inference(subsumption_resolution,[],[f3778,f56]) ).
fof(f56,plain,
~ sP1(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f3778,plain,
( sP1(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_37
| ~ spl26_39
| ~ spl26_54 ),
inference(forward_demodulation,[],[f3777,f691]) ).
fof(f691,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl26_37 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f690,plain,
( spl26_37
<=> sk_c11 = inverse(sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_37])]) ).
fof(f3777,plain,
( sP1(inverse(sk_c11))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39
| ~ spl26_54 ),
inference(forward_demodulation,[],[f3776,f3653]) ).
fof(f3776,plain,
( sP1(multiply(sk_c11,inverse(sk_c11)))
| ~ spl26_39
| ~ spl26_54 ),
inference(forward_demodulation,[],[f857,f701]) ).
fof(f857,plain,
( sP1(multiply(sk_c10,inverse(sk_c10)))
| ~ spl26_54 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f855,plain,
( spl26_54
<=> sP1(multiply(sk_c10,inverse(sk_c10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_54])]) ).
fof(f3775,plain,
( ~ spl26_23
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39 ),
inference(avatar_split_clause,[],[f3678,f700,f232,f218,f204,f190,f136,f291]) ).
fof(f291,plain,
( spl26_23
<=> sP8(sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_23])]) ).
fof(f3678,plain,
( ~ sP8(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39 ),
inference(backward_demodulation,[],[f63,f3660]) ).
fof(f63,plain,
~ sP8(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f3774,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_17
| spl26_23
| ~ spl26_37
| ~ spl26_39 ),
inference(avatar_contradiction_clause,[],[f3773]) ).
fof(f3773,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_17
| spl26_23
| ~ spl26_37
| ~ spl26_39 ),
inference(subsumption_resolution,[],[f3772,f3535]) ).
fof(f3535,plain,
( ~ sP7(sk_c11)
| ~ spl26_39 ),
inference(backward_demodulation,[],[f62,f701]) ).
fof(f62,plain,
~ sP7(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f3772,plain,
( sP7(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_17
| spl26_23
| ~ spl26_37
| ~ spl26_39 ),
inference(forward_demodulation,[],[f3771,f691]) ).
fof(f3771,plain,
( sP7(inverse(sk_c11))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_17
| spl26_23
| ~ spl26_39 ),
inference(resolution,[],[f3768,f292]) ).
fof(f292,plain,
( ~ sP8(sk_c11)
| spl26_23 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f3768,plain,
( ! [X4] :
( sP8(X4)
| sP7(inverse(X4)) )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_17
| ~ spl26_39 ),
inference(forward_demodulation,[],[f3767,f3728]) ).
fof(f3728,plain,
( ! [X0] : multiply(X0,sk_c11) = X0
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39 ),
inference(backward_demodulation,[],[f1397,f3683]) ).
fof(f3767,plain,
( ! [X4] :
( sP8(multiply(X4,sk_c11))
| sP7(inverse(X4)) )
| ~ spl26_17
| ~ spl26_39 ),
inference(forward_demodulation,[],[f250,f701]) ).
fof(f250,plain,
( ! [X4] :
( sP8(multiply(X4,sk_c10))
| sP7(inverse(X4)) )
| ~ spl26_17 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f249,plain,
( spl26_17
<=> ! [X4] :
( sP7(inverse(X4))
| sP8(multiply(X4,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_17])]) ).
fof(f3766,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16
| ~ spl26_37
| ~ spl26_39 ),
inference(avatar_contradiction_clause,[],[f3765]) ).
fof(f3765,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16
| ~ spl26_37
| ~ spl26_39 ),
inference(subsumption_resolution,[],[f3764,f64]) ).
fof(f64,plain,
~ sP9(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f3764,plain,
( sP9(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16
| ~ spl26_37
| ~ spl26_39 ),
inference(forward_demodulation,[],[f3763,f691]) ).
fof(f3763,plain,
( sP9(inverse(sk_c11))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16
| ~ spl26_39 ),
inference(resolution,[],[f3761,f3536]) ).
fof(f3536,plain,
( ~ sP10(sk_c11)
| ~ spl26_39 ),
inference(backward_demodulation,[],[f65,f701]) ).
fof(f65,plain,
~ sP10(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f3761,plain,
( ! [X3] :
( sP10(X3)
| sP9(inverse(X3)) )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16
| ~ spl26_39 ),
inference(forward_demodulation,[],[f247,f3728]) ).
fof(f247,plain,
( ! [X3] :
( sP10(multiply(X3,sk_c11))
| sP9(inverse(X3)) )
| ~ spl26_16 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl26_16
<=> ! [X3] :
( sP9(inverse(X3))
| sP10(multiply(X3,sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_16])]) ).
fof(f3750,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39
| ~ spl26_51 ),
inference(avatar_contradiction_clause,[],[f3749]) ).
fof(f3749,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39
| ~ spl26_51 ),
inference(subsumption_resolution,[],[f3748,f3677]) ).
fof(f3677,plain,
( ~ sP3(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39 ),
inference(backward_demodulation,[],[f58,f3660]) ).
fof(f58,plain,
~ sP3(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f3748,plain,
( sP3(sk_c11)
| ~ spl26_39
| ~ spl26_51 ),
inference(forward_demodulation,[],[f780,f701]) ).
fof(f780,plain,
( sP3(sk_c10)
| ~ spl26_51 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f778,plain,
( spl26_51
<=> sP3(sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_51])]) ).
fof(f3747,plain,
( spl26_37
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39 ),
inference(avatar_split_clause,[],[f3736,f700,f232,f218,f204,f190,f136,f690]) ).
fof(f3736,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39 ),
inference(backward_demodulation,[],[f3691,f3683]) ).
fof(f3691,plain,
( sk_c11 = inverse(identity)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39 ),
inference(forward_demodulation,[],[f3650,f3659]) ).
fof(f3659,plain,
( identity = sk_c1
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_39 ),
inference(backward_demodulation,[],[f799,f3653]) ).
fof(f3650,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl26_12
| ~ spl26_14
| ~ spl26_39 ),
inference(backward_demodulation,[],[f3543,f3645]) ).
fof(f3543,plain,
( sk_c11 = inverse(sk_c2)
| ~ spl26_14
| ~ spl26_39 ),
inference(backward_demodulation,[],[f598,f701]) ).
fof(f3532,plain,
( spl26_39
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(avatar_split_clause,[],[f3524,f232,f218,f204,f700]) ).
fof(f3524,plain,
( sk_c11 = sk_c10
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f1627,f3521]) ).
fof(f3492,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_45
| ~ spl26_50 ),
inference(avatar_contradiction_clause,[],[f3491]) ).
fof(f3491,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_45
| ~ spl26_50 ),
inference(subsumption_resolution,[],[f3490,f57]) ).
fof(f57,plain,
~ sP2(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f3490,plain,
( sP2(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_45
| ~ spl26_50 ),
inference(forward_demodulation,[],[f3451,f732]) ).
fof(f732,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl26_45 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f731,plain,
( spl26_45
<=> sk_c10 = inverse(sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_45])]) ).
fof(f3451,plain,
( sP2(inverse(sk_c10))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_45
| ~ spl26_50 ),
inference(backward_demodulation,[],[f776,f3445]) ).
fof(f3445,plain,
( identity = sk_c10
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_45 ),
inference(forward_demodulation,[],[f3442,f2]) ).
fof(f3442,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_45 ),
inference(backward_demodulation,[],[f1975,f3437]) ).
fof(f3437,plain,
( sk_c11 = sk_c9
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_45 ),
inference(forward_demodulation,[],[f3436,f1967]) ).
fof(f1967,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl26_1
| ~ spl26_12 ),
inference(forward_demodulation,[],[f1965,f800]) ).
fof(f800,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl26_12 ),
inference(backward_demodulation,[],[f90,f192]) ).
fof(f1965,plain,
( sk_c11 = multiply(inverse(sk_c1),sk_c10)
| ~ spl26_1 ),
inference(superposition,[],[f315,f605]) ).
fof(f605,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl26_1 ),
inference(backward_demodulation,[],[f70,f138]) ).
fof(f3436,plain,
( sk_c9 = multiply(sk_c11,sk_c10)
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_45 ),
inference(forward_demodulation,[],[f3418,f3422]) ).
fof(f3422,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c10,X0)
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_45 ),
inference(backward_demodulation,[],[f1630,f3421]) ).
fof(f3421,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_13
| ~ spl26_14
| ~ spl26_45 ),
inference(forward_demodulation,[],[f3416,f3312]) ).
fof(f3312,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c10,X0)) = X0
| ~ spl26_45 ),
inference(superposition,[],[f315,f732]) ).
fof(f3416,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl26_13
| ~ spl26_14
| ~ spl26_45 ),
inference(backward_demodulation,[],[f1709,f3414]) ).
fof(f3414,plain,
( sk_c10 = sk_c2
| ~ spl26_14
| ~ spl26_45 ),
inference(forward_demodulation,[],[f3413,f732]) ).
fof(f3418,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl26_13
| ~ spl26_14
| ~ spl26_45 ),
inference(backward_demodulation,[],[f1940,f3414]) ).
fof(f776,plain,
( sP2(inverse(identity))
| ~ spl26_50 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f774,plain,
( spl26_50
<=> sP2(inverse(identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_50])]) ).
fof(f3488,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| spl26_44
| ~ spl26_45 ),
inference(avatar_contradiction_clause,[],[f3487]) ).
fof(f3487,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| spl26_44
| ~ spl26_45 ),
inference(subsumption_resolution,[],[f3449,f732]) ).
fof(f3449,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| spl26_44
| ~ spl26_45 ),
inference(backward_demodulation,[],[f729,f3445]) ).
fof(f729,plain,
( sk_c10 != inverse(identity)
| spl26_44 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f727,plain,
( spl26_44
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_44])]) ).
fof(f3248,plain,
( ~ spl26_51
| ~ spl26_3
| ~ spl26_13
| ~ spl26_14
| ~ spl26_37
| ~ spl26_44 ),
inference(avatar_split_clause,[],[f3244,f727,f690,f218,f204,f145,f778]) ).
fof(f145,plain,
( spl26_3
<=> sk_c11 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).
fof(f3244,plain,
( ~ sP3(sk_c10)
| ~ spl26_3
| ~ spl26_13
| ~ spl26_14
| ~ spl26_37
| ~ spl26_44 ),
inference(backward_demodulation,[],[f58,f3242]) ).
fof(f3242,plain,
( sk_c10 = sk_c9
| ~ spl26_3
| ~ spl26_13
| ~ spl26_14
| ~ spl26_37
| ~ spl26_44 ),
inference(forward_demodulation,[],[f1982,f3237]) ).
fof(f3237,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl26_3
| ~ spl26_37
| ~ spl26_44 ),
inference(backward_demodulation,[],[f3174,f3177]) ).
fof(f3177,plain,
( sk_c10 = inverse(sF11)
| ~ spl26_3
| ~ spl26_37
| ~ spl26_44 ),
inference(forward_demodulation,[],[f728,f3168]) ).
fof(f3168,plain,
( identity = sF11
| ~ spl26_3
| ~ spl26_37 ),
inference(forward_demodulation,[],[f3167,f3154]) ).
fof(f3154,plain,
( sF11 = multiply(sk_c11,sk_c11)
| ~ spl26_3
| ~ spl26_37 ),
inference(forward_demodulation,[],[f69,f3091]) ).
fof(f3091,plain,
( sk_c11 = sk_c3
| ~ spl26_3
| ~ spl26_37 ),
inference(forward_demodulation,[],[f1985,f691]) ).
fof(f1985,plain,
( sk_c3 = inverse(sk_c11)
| ~ spl26_3 ),
inference(forward_demodulation,[],[f1983,f1397]) ).
fof(f1983,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl26_3 ),
inference(superposition,[],[f315,f296]) ).
fof(f296,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl26_3 ),
inference(superposition,[],[f2,f273]) ).
fof(f273,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl26_3 ),
inference(backward_demodulation,[],[f72,f147]) ).
fof(f147,plain,
( sk_c11 = sF13
| ~ spl26_3 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f72,plain,
inverse(sk_c3) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f69,plain,
multiply(sk_c3,sk_c11) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f3167,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl26_3
| ~ spl26_37 ),
inference(forward_demodulation,[],[f296,f3091]) ).
fof(f728,plain,
( sk_c10 = inverse(identity)
| ~ spl26_44 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f3174,plain,
( ! [X0] : multiply(inverse(sF11),X0) = X0
| ~ spl26_3
| ~ spl26_37 ),
inference(forward_demodulation,[],[f1378,f3168]) ).
fof(f1378,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f315,f1]) ).
fof(f3211,plain,
( spl26_2
| ~ spl26_3
| ~ spl26_37
| ~ spl26_39
| ~ spl26_44 ),
inference(avatar_contradiction_clause,[],[f3210]) ).
fof(f3210,plain,
( $false
| spl26_2
| ~ spl26_3
| ~ spl26_37
| ~ spl26_39
| ~ spl26_44 ),
inference(subsumption_resolution,[],[f3190,f3153]) ).
fof(f3153,plain,
( sk_c11 != sF11
| spl26_2
| ~ spl26_39 ),
inference(forward_demodulation,[],[f141,f701]) ).
fof(f141,plain,
( sk_c10 != sF11
| spl26_2 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl26_2
<=> sk_c10 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
fof(f3190,plain,
( sk_c11 = sF11
| ~ spl26_3
| ~ spl26_37
| ~ spl26_39
| ~ spl26_44 ),
inference(backward_demodulation,[],[f3154,f3180]) ).
fof(f3180,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl26_3
| ~ spl26_37
| ~ spl26_39
| ~ spl26_44 ),
inference(backward_demodulation,[],[f3174,f3178]) ).
fof(f3178,plain,
( sk_c11 = inverse(sF11)
| ~ spl26_3
| ~ spl26_37
| ~ spl26_39
| ~ spl26_44 ),
inference(forward_demodulation,[],[f3177,f701]) ).
fof(f3012,plain,
( ~ spl26_37
| ~ spl26_39
| ~ spl26_52 ),
inference(avatar_contradiction_clause,[],[f3011]) ).
fof(f3011,plain,
( $false
| ~ spl26_37
| ~ spl26_39
| ~ spl26_52 ),
inference(subsumption_resolution,[],[f3010,f2929]) ).
fof(f2929,plain,
( ~ sP2(sk_c11)
| ~ spl26_39 ),
inference(backward_demodulation,[],[f57,f701]) ).
fof(f3010,plain,
( sP2(sk_c11)
| ~ spl26_37
| ~ spl26_39
| ~ spl26_52 ),
inference(forward_demodulation,[],[f3009,f691]) ).
fof(f3009,plain,
( sP2(inverse(sk_c11))
| ~ spl26_39
| ~ spl26_52 ),
inference(forward_demodulation,[],[f786,f701]) ).
fof(f786,plain,
( sP2(inverse(sk_c10))
| ~ spl26_52 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f784,plain,
( spl26_52
<=> sP2(inverse(sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_52])]) ).
fof(f2956,plain,
( ~ spl26_23
| ~ spl26_2
| ~ spl26_3
| ~ spl26_13
| ~ spl26_14
| ~ spl26_39 ),
inference(avatar_split_clause,[],[f2948,f700,f218,f204,f145,f140,f291]) ).
fof(f2948,plain,
( ~ sP8(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_13
| ~ spl26_14
| ~ spl26_39 ),
inference(backward_demodulation,[],[f2624,f701]) ).
fof(f2624,plain,
( ~ sP8(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f63,f2268]) ).
fof(f2268,plain,
( sk_c10 = sk_c9
| ~ spl26_2
| ~ spl26_3
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f1982,f2258]) ).
fof(f2258,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl26_2
| ~ spl26_3 ),
inference(forward_demodulation,[],[f2257,f306]) ).
fof(f306,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl26_2 ),
inference(superposition,[],[f3,f274]) ).
fof(f274,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl26_2 ),
inference(backward_demodulation,[],[f69,f142]) ).
fof(f142,plain,
( sk_c10 = sF11
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f2257,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = X0
| ~ spl26_3 ),
inference(superposition,[],[f315,f1985]) ).
fof(f2360,plain,
( spl26_49
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(avatar_split_clause,[],[f2280,f170,f165,f160,f145,f140,f758]) ).
fof(f758,plain,
( spl26_49
<=> sk_c11 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_49])]) ).
fof(f160,plain,
( spl26_6
<=> sk_c11 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).
fof(f165,plain,
( spl26_7
<=> sk_c8 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).
fof(f170,plain,
( spl26_8
<=> sk_c11 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_8])]) ).
fof(f2280,plain,
( sk_c11 = sk_c8
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f270,f2278]) ).
fof(f2278,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f2273,f384]) ).
fof(f384,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c11,multiply(sk_c5,X0))
| ~ spl26_6
| ~ spl26_7 ),
inference(superposition,[],[f309,f321]) ).
fof(f321,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl26_7 ),
inference(forward_demodulation,[],[f320,f1]) ).
fof(f320,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl26_7 ),
inference(superposition,[],[f3,f298]) ).
fof(f298,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl26_7 ),
inference(superposition,[],[f2,f269]) ).
fof(f269,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl26_7 ),
inference(backward_demodulation,[],[f80,f167]) ).
fof(f167,plain,
( sk_c8 = sF17
| ~ spl26_7 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f80,plain,
inverse(sk_c5) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f309,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl26_6 ),
inference(superposition,[],[f3,f270]) ).
fof(f2273,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c5,X0)) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f321,f2262]) ).
fof(f2262,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_8 ),
inference(backward_demodulation,[],[f623,f2258]) ).
fof(f623,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,multiply(sk_c10,X0))
| ~ spl26_8 ),
inference(superposition,[],[f3,f615]) ).
fof(f615,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl26_8 ),
inference(backward_demodulation,[],[f82,f172]) ).
fof(f172,plain,
( sk_c11 = sF18
| ~ spl26_8 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f82,plain,
multiply(sk_c8,sk_c10) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f270,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl26_6 ),
inference(backward_demodulation,[],[f78,f162]) ).
fof(f162,plain,
( sk_c11 = sF16
| ~ spl26_6 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f78,plain,
multiply(sk_c5,sk_c8) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f1952,plain,
( spl26_32
| ~ spl26_45
| ~ spl26_53 ),
inference(avatar_split_clause,[],[f1951,f852,f731,f657]) ).
fof(f657,plain,
( spl26_32
<=> ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_32])]) ).
fof(f852,plain,
( spl26_53
<=> ! [X0] :
( inverse(sk_c10) != inverse(multiply(X0,inverse(sk_c10)))
| inverse(X0) != multiply(X0,inverse(sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_53])]) ).
fof(f1951,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(multiply(X0,sk_c10)) )
| ~ spl26_45
| ~ spl26_53 ),
inference(forward_demodulation,[],[f1950,f732]) ).
fof(f1950,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,inverse(sk_c10)) )
| ~ spl26_45
| ~ spl26_53 ),
inference(forward_demodulation,[],[f853,f732]) ).
fof(f853,plain,
( ! [X0] :
( inverse(sk_c10) != inverse(multiply(X0,inverse(sk_c10)))
| inverse(X0) != multiply(X0,inverse(sk_c10)) )
| ~ spl26_53 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f1856,plain,
( ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_39
| spl26_49 ),
inference(avatar_contradiction_clause,[],[f1855]) ).
fof(f1855,plain,
( $false
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_39
| spl26_49 ),
inference(subsumption_resolution,[],[f1840,f760]) ).
fof(f760,plain,
( sk_c11 != sk_c8
| spl26_49 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f1840,plain,
( sk_c11 = sk_c8
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_39 ),
inference(backward_demodulation,[],[f270,f1838]) ).
fof(f1838,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_39 ),
inference(forward_demodulation,[],[f384,f1834]) ).
fof(f1834,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c5,X0)) = X0
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_39 ),
inference(backward_demodulation,[],[f321,f1830]) ).
fof(f1830,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,X0)
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_39 ),
inference(forward_demodulation,[],[f1796,f345]) ).
fof(f345,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c11,X0))
| ~ spl26_6
| ~ spl26_7 ),
inference(superposition,[],[f3,f334]) ).
fof(f334,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl26_6
| ~ spl26_7 ),
inference(superposition,[],[f321,f270]) ).
fof(f1796,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,multiply(sk_c11,X0))
| ~ spl26_8
| ~ spl26_39 ),
inference(forward_demodulation,[],[f623,f701]) ).
fof(f1854,plain,
( spl26_46
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_39 ),
inference(avatar_split_clause,[],[f1853,f700,f170,f165,f160,f744]) ).
fof(f744,plain,
( spl26_46
<=> sk_c8 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_46])]) ).
fof(f1853,plain,
( sk_c8 = inverse(identity)
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_39 ),
inference(backward_demodulation,[],[f269,f1845]) ).
fof(f1845,plain,
( identity = sk_c5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_39 ),
inference(backward_demodulation,[],[f1836,f1839]) ).
fof(f1839,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_39 ),
inference(backward_demodulation,[],[f1834,f1838]) ).
fof(f1836,plain,
( identity = multiply(sk_c11,sk_c5)
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_39 ),
inference(backward_demodulation,[],[f298,f1830]) ).
fof(f1686,plain,
( ~ spl26_37
| ~ spl26_6
| ~ spl26_7
| ~ spl26_39
| spl26_44
| ~ spl26_49 ),
inference(avatar_split_clause,[],[f1685,f758,f727,f700,f165,f160,f690]) ).
fof(f1685,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl26_6
| ~ spl26_7
| ~ spl26_39
| spl26_44
| ~ spl26_49 ),
inference(forward_demodulation,[],[f1684,f701]) ).
fof(f1684,plain,
( sk_c10 != inverse(sk_c11)
| ~ spl26_6
| ~ spl26_7
| spl26_44
| ~ spl26_49 ),
inference(forward_demodulation,[],[f729,f1449]) ).
fof(f1449,plain,
( identity = sk_c11
| ~ spl26_6
| ~ spl26_7
| ~ spl26_49 ),
inference(superposition,[],[f1382,f2]) ).
fof(f1382,plain,
( ! [X0] : multiply(inverse(sk_c11),X0) = X0
| ~ spl26_6
| ~ spl26_7
| ~ spl26_49 ),
inference(superposition,[],[f315,f995]) ).
fof(f995,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl26_6
| ~ spl26_7
| ~ spl26_49 ),
inference(backward_demodulation,[],[f384,f993]) ).
fof(f993,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl26_6
| ~ spl26_7
| ~ spl26_49 ),
inference(forward_demodulation,[],[f973,f384]) ).
fof(f973,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c5,X0)) = X0
| ~ spl26_7
| ~ spl26_49 ),
inference(backward_demodulation,[],[f321,f759]) ).
fof(f759,plain,
( sk_c11 = sk_c8
| ~ spl26_49 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f1683,plain,
( ~ spl26_37
| ~ spl26_39
| spl26_45 ),
inference(avatar_split_clause,[],[f1682,f731,f700,f690]) ).
fof(f1682,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl26_39
| spl26_45 ),
inference(forward_demodulation,[],[f733,f701]) ).
fof(f733,plain,
( sk_c10 != inverse(sk_c10)
| spl26_45 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f1671,plain,
( spl26_37
| ~ spl26_6
| ~ spl26_7
| ~ spl26_49 ),
inference(avatar_split_clause,[],[f1670,f758,f165,f160,f690]) ).
fof(f1670,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl26_6
| ~ spl26_7
| ~ spl26_49 ),
inference(forward_demodulation,[],[f1179,f1449]) ).
fof(f1179,plain,
( sk_c11 = inverse(identity)
| ~ spl26_6
| ~ spl26_7
| ~ spl26_49 ),
inference(backward_demodulation,[],[f968,f1178]) ).
fof(f1178,plain,
( identity = sk_c5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_49 ),
inference(forward_demodulation,[],[f970,f995]) ).
fof(f970,plain,
( identity = multiply(sk_c11,sk_c5)
| ~ spl26_7
| ~ spl26_49 ),
inference(backward_demodulation,[],[f298,f759]) ).
fof(f968,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl26_7
| ~ spl26_49 ),
inference(backward_demodulation,[],[f269,f759]) ).
fof(f1592,plain,
( spl26_37
| ~ spl26_6
| ~ spl26_7
| ~ spl26_14
| ~ spl26_39
| ~ spl26_49 ),
inference(avatar_split_clause,[],[f1591,f758,f700,f218,f165,f160,f690]) ).
fof(f1591,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl26_6
| ~ spl26_7
| ~ spl26_14
| ~ spl26_39
| ~ spl26_49 ),
inference(backward_demodulation,[],[f1581,f1590]) ).
fof(f1590,plain,
( sk_c11 = sk_c2
| ~ spl26_6
| ~ spl26_7
| ~ spl26_14
| ~ spl26_39
| ~ spl26_49 ),
inference(forward_demodulation,[],[f1589,f1449]) ).
fof(f1589,plain,
( identity = sk_c2
| ~ spl26_6
| ~ spl26_7
| ~ spl26_14
| ~ spl26_39
| ~ spl26_49 ),
inference(forward_demodulation,[],[f1588,f995]) ).
fof(f1588,plain,
( identity = multiply(sk_c11,sk_c2)
| ~ spl26_14
| ~ spl26_39 ),
inference(forward_demodulation,[],[f597,f701]) ).
fof(f1581,plain,
( sk_c11 = inverse(sk_c2)
| ~ spl26_14
| ~ spl26_39 ),
inference(forward_demodulation,[],[f598,f701]) ).
fof(f1573,plain,
( ~ spl26_22
| ~ spl26_37
| ~ spl26_39
| ~ spl26_49 ),
inference(avatar_contradiction_clause,[],[f1572]) ).
fof(f1572,plain,
( $false
| ~ spl26_22
| ~ spl26_37
| ~ spl26_39
| ~ spl26_49 ),
inference(subsumption_resolution,[],[f1571,f1135]) ).
fof(f1135,plain,
( ~ sP7(sk_c11)
| ~ spl26_39 ),
inference(backward_demodulation,[],[f62,f701]) ).
fof(f1571,plain,
( sP7(sk_c11)
| ~ spl26_22
| ~ spl26_37
| ~ spl26_49 ),
inference(forward_demodulation,[],[f1570,f691]) ).
fof(f1570,plain,
( sP7(inverse(sk_c11))
| ~ spl26_22
| ~ spl26_49 ),
inference(forward_demodulation,[],[f289,f759]) ).
fof(f289,plain,
( sP7(inverse(sk_c8))
| ~ spl26_22 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl26_22
<=> sP7(inverse(sk_c8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_22])]) ).
fof(f1555,plain,
( ~ spl26_6
| ~ spl26_7
| ~ spl26_37
| ~ spl26_49
| spl26_59 ),
inference(avatar_contradiction_clause,[],[f1554]) ).
fof(f1554,plain,
( $false
| ~ spl26_6
| ~ spl26_7
| ~ spl26_37
| ~ spl26_49
| spl26_59 ),
inference(subsumption_resolution,[],[f1542,f691]) ).
fof(f1542,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl26_6
| ~ spl26_7
| ~ spl26_37
| ~ spl26_49
| spl26_59 ),
inference(backward_demodulation,[],[f1468,f691]) ).
fof(f1468,plain,
( sk_c11 != inverse(inverse(sk_c11))
| ~ spl26_6
| ~ spl26_7
| ~ spl26_49
| spl26_59 ),
inference(backward_demodulation,[],[f1119,f1449]) ).
fof(f1119,plain,
( identity != inverse(inverse(sk_c11))
| ~ spl26_49
| spl26_59 ),
inference(forward_demodulation,[],[f946,f759]) ).
fof(f946,plain,
( identity != inverse(inverse(sk_c8))
| spl26_59 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f944,plain,
( spl26_59
<=> identity = inverse(inverse(sk_c8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_59])]) ).
fof(f1533,plain,
( ~ spl26_15
| ~ spl26_18 ),
inference(avatar_contradiction_clause,[],[f1532]) ).
fof(f1532,plain,
( $false
| ~ spl26_15
| ~ spl26_18 ),
inference(subsumption_resolution,[],[f1531,f61]) ).
fof(f61,plain,
~ sP6(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1531,plain,
( sP6(sk_c11)
| ~ spl26_15
| ~ spl26_18 ),
inference(forward_demodulation,[],[f254,f234]) ).
fof(f254,plain,
( sP6(sF25)
| ~ spl26_18 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f252,plain,
( spl26_18
<=> sP6(sF25) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_18])]) ).
fof(f1082,plain,
( spl26_39
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_49 ),
inference(avatar_split_clause,[],[f1081,f758,f170,f165,f160,f700]) ).
fof(f1081,plain,
( sk_c11 = sk_c10
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_49 ),
inference(forward_demodulation,[],[f977,f995]) ).
fof(f977,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl26_8
| ~ spl26_49 ),
inference(backward_demodulation,[],[f615,f759]) ).
fof(f947,plain,
( ~ spl26_59
| ~ spl26_46
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(avatar_split_clause,[],[f940,f262,f170,f165,f160,f744,f944]) ).
fof(f262,plain,
( spl26_21
<=> ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sP1(multiply(X7,inverse(X7)))
| sP0(multiply(inverse(X7),sk_c10))
| inverse(X9) != multiply(X9,inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_21])]) ).
fof(f940,plain,
( sk_c8 != inverse(identity)
| identity != inverse(inverse(sk_c8))
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(superposition,[],[f821,f2]) ).
fof(f821,plain,
( ! [X0] :
( sk_c8 != inverse(multiply(X0,sk_c8))
| inverse(X0) != multiply(X0,sk_c8) )
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f820,f56]) ).
fof(f820,plain,
( ! [X0] :
( sP1(sk_c11)
| sk_c8 != inverse(multiply(X0,sk_c8))
| inverse(X0) != multiply(X0,sk_c8) )
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(forward_demodulation,[],[f819,f270]) ).
fof(f819,plain,
( ! [X0] :
( sP1(multiply(sk_c5,sk_c8))
| sk_c8 != inverse(multiply(X0,sk_c8))
| inverse(X0) != multiply(X0,sk_c8) )
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f818,f55]) ).
fof(f818,plain,
( ! [X0] :
( sP0(sk_c11)
| sP1(multiply(sk_c5,sk_c8))
| sk_c8 != inverse(multiply(X0,sk_c8))
| inverse(X0) != multiply(X0,sk_c8) )
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(forward_demodulation,[],[f808,f615]) ).
fof(f808,plain,
( ! [X0] :
( sP0(multiply(sk_c8,sk_c10))
| sP1(multiply(sk_c5,sk_c8))
| sk_c8 != inverse(multiply(X0,sk_c8))
| inverse(X0) != multiply(X0,sk_c8) )
| ~ spl26_7
| ~ spl26_21 ),
inference(superposition,[],[f263,f269]) ).
fof(f263,plain,
( ! [X9,X7] :
( sP0(multiply(inverse(X7),sk_c10))
| sP1(multiply(X7,inverse(X7)))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl26_21 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f862,plain,
( spl26_53
| spl26_54
| spl26_55
| ~ spl26_21 ),
inference(avatar_split_clause,[],[f848,f262,f859,f855,f852]) ).
fof(f848,plain,
( ! [X0] :
( sP0(identity)
| sP1(multiply(sk_c10,inverse(sk_c10)))
| inverse(sk_c10) != inverse(multiply(X0,inverse(sk_c10)))
| inverse(X0) != multiply(X0,inverse(sk_c10)) )
| ~ spl26_21 ),
inference(superposition,[],[f263,f2]) ).
fof(f791,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_15
| ~ spl26_20 ),
inference(avatar_contradiction_clause,[],[f790]) ).
fof(f790,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_15
| ~ spl26_20 ),
inference(subsumption_resolution,[],[f789,f57]) ).
fof(f789,plain,
( sP2(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_15
| ~ spl26_20 ),
inference(forward_demodulation,[],[f788,f271]) ).
fof(f271,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl26_5 ),
inference(backward_demodulation,[],[f76,f157]) ).
fof(f157,plain,
( sk_c10 = sF15
| ~ spl26_5 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl26_5
<=> sk_c10 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).
fof(f76,plain,
inverse(sk_c4) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f788,plain,
( sP2(inverse(sk_c4))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_15
| ~ spl26_20 ),
inference(subsumption_resolution,[],[f770,f586]) ).
fof(f586,plain,
( ~ sP3(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_15 ),
inference(forward_demodulation,[],[f58,f583]) ).
fof(f583,plain,
( sk_c11 = sk_c9
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_15 ),
inference(forward_demodulation,[],[f374,f234]) ).
fof(f374,plain,
( sk_c9 = sF25
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4 ),
inference(forward_demodulation,[],[f373,f272]) ).
fof(f272,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl26_4 ),
inference(backward_demodulation,[],[f74,f152]) ).
fof(f152,plain,
( sk_c9 = sF14
| ~ spl26_4 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl26_4
<=> sk_c9 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_4])]) ).
fof(f74,plain,
multiply(sk_c4,sk_c10) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f373,plain,
( multiply(sk_c4,sk_c10) = sF25
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4 ),
inference(forward_demodulation,[],[f368,f123]) ).
fof(f368,plain,
( multiply(sk_c4,sk_c10) = multiply(sk_c9,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4 ),
inference(superposition,[],[f307,f342]) ).
fof(f342,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl26_2
| ~ spl26_3 ),
inference(forward_demodulation,[],[f339,f274]) ).
fof(f339,plain,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f306,f326]) ).
fof(f326,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f317,f274]) ).
fof(f317,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl26_3 ),
inference(forward_demodulation,[],[f316,f1]) ).
fof(f316,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl26_3 ),
inference(superposition,[],[f3,f296]) ).
fof(f307,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl26_4 ),
inference(superposition,[],[f3,f272]) ).
fof(f770,plain,
( sP3(sk_c11)
| sP2(inverse(sk_c4))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_15
| ~ spl26_20 ),
inference(superposition,[],[f260,f590]) ).
fof(f590,plain,
( sk_c11 = multiply(sk_c4,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_15 ),
inference(forward_demodulation,[],[f272,f583]) ).
fof(f260,plain,
( ! [X6] :
( sP3(multiply(X6,sk_c10))
| sP2(inverse(X6)) )
| ~ spl26_20 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl26_20
<=> ! [X6] :
( sP2(inverse(X6))
| sP3(multiply(X6,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_20])]) ).
fof(f787,plain,
( spl26_52
| spl26_51
| ~ spl26_2
| ~ spl26_3
| ~ spl26_20 ),
inference(avatar_split_clause,[],[f769,f259,f145,f140,f778,f784]) ).
fof(f769,plain,
( sP3(sk_c10)
| sP2(inverse(sk_c10))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_20 ),
inference(superposition,[],[f260,f342]) ).
fof(f781,plain,
( spl26_50
| spl26_51
| ~ spl26_20 ),
inference(avatar_split_clause,[],[f766,f259,f778,f774]) ).
fof(f766,plain,
( sP3(sk_c10)
| sP2(inverse(identity))
| ~ spl26_20 ),
inference(superposition,[],[f260,f1]) ).
fof(f764,plain,
( ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(avatar_contradiction_clause,[],[f763]) ).
fof(f763,plain,
( $false
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f762,f614]) ).
fof(f614,plain,
( inverse(sk_c7) = sk_c6
| ~ spl26_9 ),
inference(backward_demodulation,[],[f84,f177]) ).
fof(f177,plain,
( sk_c6 = sF19
| ~ spl26_9 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl26_9
<=> sk_c6 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_9])]) ).
fof(f84,plain,
inverse(sk_c7) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f762,plain,
( inverse(sk_c7) != sk_c6
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f742,f266]) ).
fof(f266,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl26_10 ),
inference(backward_demodulation,[],[f86,f182]) ).
fof(f182,plain,
( sk_c8 = sF20
| ~ spl26_10 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl26_10
<=> sk_c8 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_10])]) ).
fof(f86,plain,
inverse(sk_c6) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f742,plain,
( sk_c8 != inverse(sk_c6)
| inverse(sk_c7) != sk_c6
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_11
| ~ spl26_21 ),
inference(superposition,[],[f667,f265]) ).
fof(f265,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl26_11 ),
inference(backward_demodulation,[],[f88,f187]) ).
fof(f187,plain,
( sk_c6 = sF21
| ~ spl26_11 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl26_11
<=> sk_c6 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_11])]) ).
fof(f88,plain,
multiply(sk_c7,sk_c8) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f667,plain,
( ! [X0] :
( sk_c8 != inverse(multiply(X0,sk_c8))
| inverse(X0) != multiply(X0,sk_c8) )
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f666,f56]) ).
fof(f666,plain,
( ! [X0] :
( sP1(sk_c11)
| sk_c8 != inverse(multiply(X0,sk_c8))
| inverse(X0) != multiply(X0,sk_c8) )
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(forward_demodulation,[],[f665,f270]) ).
fof(f665,plain,
( ! [X0] :
( sP1(multiply(sk_c5,sk_c8))
| sk_c8 != inverse(multiply(X0,sk_c8))
| inverse(X0) != multiply(X0,sk_c8) )
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f664,f55]) ).
fof(f664,plain,
( ! [X0] :
( sP0(sk_c11)
| sP1(multiply(sk_c5,sk_c8))
| sk_c8 != inverse(multiply(X0,sk_c8))
| inverse(X0) != multiply(X0,sk_c8) )
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(forward_demodulation,[],[f638,f615]) ).
fof(f638,plain,
( ! [X0] :
( sP0(multiply(sk_c8,sk_c10))
| sP1(multiply(sk_c5,sk_c8))
| sk_c8 != inverse(multiply(X0,sk_c8))
| inverse(X0) != multiply(X0,sk_c8) )
| ~ spl26_7
| ~ spl26_21 ),
inference(superposition,[],[f263,f269]) ).
fof(f734,plain,
( ~ spl26_44
| ~ spl26_45
| ~ spl26_32 ),
inference(avatar_split_clause,[],[f725,f657,f731,f727]) ).
fof(f725,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != inverse(identity)
| ~ spl26_32 ),
inference(superposition,[],[f658,f1]) ).
fof(f658,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_32 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f613,plain,
( ~ spl26_12
| ~ spl26_24 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f612,plain,
( $false
| ~ spl26_12
| ~ spl26_24 ),
inference(subsumption_resolution,[],[f611,f59]) ).
fof(f59,plain,
~ sP4(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f611,plain,
( sP4(sk_c11)
| ~ spl26_12
| ~ spl26_24 ),
inference(forward_demodulation,[],[f552,f192]) ).
fof(f552,plain,
( sP4(sF22)
| ~ spl26_24 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f550,plain,
( spl26_24
<=> sP4(sF22) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_24])]) ).
fof(f608,plain,
( ~ spl26_1
| ~ spl26_29 ),
inference(avatar_contradiction_clause,[],[f607]) ).
fof(f607,plain,
( $false
| ~ spl26_1
| ~ spl26_29 ),
inference(subsumption_resolution,[],[f606,f60]) ).
fof(f60,plain,
~ sP5(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f606,plain,
( sP5(sk_c10)
| ~ spl26_1
| ~ spl26_29 ),
inference(forward_demodulation,[],[f581,f605]) ).
fof(f581,plain,
( sP5(multiply(sk_c1,sk_c11))
| ~ spl26_29 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f579,plain,
( spl26_29
<=> sP5(multiply(sk_c1,sk_c11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_29])]) ).
fof(f582,plain,
( spl26_29
| spl26_24
| ~ spl26_19 ),
inference(avatar_split_clause,[],[f544,f256,f550,f579]) ).
fof(f256,plain,
( spl26_19
<=> ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_19])]) ).
fof(f544,plain,
( sP4(sF22)
| sP5(multiply(sk_c1,sk_c11))
| ~ spl26_19 ),
inference(superposition,[],[f257,f90]) ).
fof(f257,plain,
( ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c11)) )
| ~ spl26_19 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f561,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_10
| ~ spl26_19 ),
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f560,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_10
| ~ spl26_19 ),
inference(subsumption_resolution,[],[f559,f475]) ).
fof(f475,plain,
( ~ sP5(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f60,f473]) ).
fof(f473,plain,
( sk_c11 = sk_c10
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f471,f459]) ).
fof(f459,plain,
( sk_c10 = inverse(identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f271,f458]) ).
fof(f458,plain,
( identity = sk_c4
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f456,f453]) ).
fof(f453,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f443,f440]) ).
fof(f440,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f431,f429]) ).
fof(f429,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f384,f427]) ).
fof(f427,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f412,f384]) ).
fof(f412,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c5,X0)) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f321,f401]) ).
fof(f401,plain,
( sk_c11 = sk_c8
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f399,f334]) ).
fof(f399,plain,
( sk_c11 = multiply(sk_c8,sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(superposition,[],[f321,f394]) ).
fof(f394,plain,
( sk_c11 = multiply(sk_c5,sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_8 ),
inference(forward_demodulation,[],[f387,f326]) ).
fof(f387,plain,
( multiply(sk_c11,sk_c10) = multiply(sk_c5,sk_c11)
| ~ spl26_6
| ~ spl26_8 ),
inference(superposition,[],[f309,f268]) ).
fof(f268,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl26_8 ),
inference(backward_demodulation,[],[f82,f172]) ).
fof(f431,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f329,f429]) ).
fof(f329,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c10,X0))
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f3,f326]) ).
fof(f443,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f333,f440]) ).
fof(f333,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| ~ spl26_4
| ~ spl26_5 ),
inference(superposition,[],[f3,f330]) ).
fof(f330,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl26_4
| ~ spl26_5 ),
inference(superposition,[],[f319,f272]) ).
fof(f319,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl26_5 ),
inference(forward_demodulation,[],[f318,f1]) ).
fof(f318,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl26_5 ),
inference(superposition,[],[f3,f297]) ).
fof(f297,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl26_5 ),
inference(superposition,[],[f2,f271]) ).
fof(f456,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f450,f453]) ).
fof(f450,plain,
( multiply(sk_c9,sk_c4) = multiply(sk_c9,identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f369,f441]) ).
fof(f441,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f307,f440]) ).
fof(f369,plain,
( multiply(sk_c9,sk_c4) = multiply(sk_c4,identity)
| ~ spl26_4
| ~ spl26_5 ),
inference(superposition,[],[f307,f297]) ).
fof(f471,plain,
( sk_c11 = inverse(identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f273,f469]) ).
fof(f469,plain,
( identity = sk_c3
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f446,f468]) ).
fof(f468,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f432,f440]) ).
fof(f432,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f306,f429]) ).
fof(f446,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f337,f440]) ).
fof(f337,plain,
( multiply(sk_c10,sk_c3) = multiply(sk_c3,identity)
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f306,f296]) ).
fof(f559,plain,
( sP5(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_10
| ~ spl26_19 ),
inference(forward_demodulation,[],[f558,f429]) ).
fof(f558,plain,
( sP5(multiply(sk_c11,sk_c11))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_10
| ~ spl26_19 ),
inference(subsumption_resolution,[],[f545,f59]) ).
fof(f545,plain,
( sP4(sk_c11)
| sP5(multiply(sk_c11,sk_c11))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_10
| ~ spl26_19 ),
inference(superposition,[],[f257,f500]) ).
fof(f500,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_10 ),
inference(backward_demodulation,[],[f404,f497]) ).
fof(f497,plain,
( sk_c11 = sk_c6
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_10 ),
inference(forward_demodulation,[],[f496,f483]) ).
fof(f483,plain,
( sk_c11 = inverse(identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f459,f473]) ).
fof(f496,plain,
( sk_c6 = inverse(identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_10 ),
inference(backward_demodulation,[],[f267,f495]) ).
fof(f495,plain,
( identity = sk_c7
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_10 ),
inference(backward_demodulation,[],[f299,f435]) ).
fof(f435,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f428,f429]) ).
fof(f428,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f385,f427]) ).
fof(f385,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c11,multiply(sk_c6,X0))
| ~ spl26_6
| ~ spl26_10 ),
inference(superposition,[],[f309,f325]) ).
fof(f325,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| ~ spl26_10 ),
inference(forward_demodulation,[],[f324,f1]) ).
fof(f324,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl26_10 ),
inference(superposition,[],[f3,f300]) ).
fof(f300,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl26_10 ),
inference(superposition,[],[f2,f266]) ).
fof(f299,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl26_9 ),
inference(superposition,[],[f2,f267]) ).
fof(f267,plain,
( inverse(sk_c7) = sk_c6
| ~ spl26_9 ),
inference(backward_demodulation,[],[f84,f177]) ).
fof(f404,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f266,f401]) ).
fof(f490,plain,
( spl26_15
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(avatar_split_clause,[],[f487,f170,f165,f160,f155,f150,f145,f140,f232]) ).
fof(f487,plain,
( sk_c11 = sF25
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f464,f473]) ).
fof(f464,plain,
( sk_c10 = sF25
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f374,f457]) ).
fof(f457,plain,
( sk_c10 = sk_c9
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f377,f453]) ).
fof(f377,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4 ),
inference(backward_demodulation,[],[f123,f374]) ).
fof(f294,plain,
( spl26_22
| spl26_23
| ~ spl26_8
| ~ spl26_17 ),
inference(avatar_split_clause,[],[f281,f249,f170,f291,f287]) ).
fof(f281,plain,
( sP8(sk_c11)
| sP7(inverse(sk_c8))
| ~ spl26_8
| ~ spl26_17 ),
inference(superposition,[],[f250,f268]) ).
fof(f285,plain,
( ~ spl26_4
| ~ spl26_5
| ~ spl26_17 ),
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f284,plain,
( $false
| ~ spl26_4
| ~ spl26_5
| ~ spl26_17 ),
inference(subsumption_resolution,[],[f283,f62]) ).
fof(f283,plain,
( sP7(sk_c10)
| ~ spl26_4
| ~ spl26_5
| ~ spl26_17 ),
inference(forward_demodulation,[],[f282,f271]) ).
fof(f282,plain,
( sP7(inverse(sk_c4))
| ~ spl26_4
| ~ spl26_17 ),
inference(subsumption_resolution,[],[f280,f63]) ).
fof(f280,plain,
( sP8(sk_c9)
| sP7(inverse(sk_c4))
| ~ spl26_4
| ~ spl26_17 ),
inference(superposition,[],[f250,f272]) ).
fof(f279,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_16 ),
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f278,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_16 ),
inference(subsumption_resolution,[],[f277,f64]) ).
fof(f277,plain,
( sP9(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_16 ),
inference(forward_demodulation,[],[f276,f273]) ).
fof(f276,plain,
( sP9(inverse(sk_c3))
| ~ spl26_2
| ~ spl26_16 ),
inference(subsumption_resolution,[],[f275,f65]) ).
fof(f275,plain,
( sP10(sk_c10)
| sP9(inverse(sk_c3))
| ~ spl26_2
| ~ spl26_16 ),
inference(superposition,[],[f247,f274]) ).
fof(f264,plain,
( spl26_16
| spl26_17
| spl26_18
| spl26_19
| spl26_20
| spl26_21 ),
inference(avatar_split_clause,[],[f134,f262,f259,f256,f252,f249,f246]) ).
fof(f134,plain,
! [X3,X6,X9,X7,X4,X5] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sP0(multiply(inverse(X7),sk_c10))
| sP1(multiply(X7,inverse(X7)))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c10))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c11))
| sP6(sF25)
| sP7(inverse(X4))
| sP8(multiply(X4,sk_c10))
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c11)) ),
inference(definition_folding,[],[f68,f123]) ).
fof(f68,plain,
! [X3,X6,X9,X7,X4,X5] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sP0(multiply(inverse(X7),sk_c10))
| sP1(multiply(X7,inverse(X7)))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c10))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c11))
| sP6(multiply(sk_c9,sk_c10))
| sP7(inverse(X4))
| sP8(multiply(X4,sk_c10))
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c11)) ),
inference(equality_resolution,[],[f67]) ).
fof(f67,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( inverse(multiply(X9,X8)) != X8
| inverse(X9) != multiply(X9,X8)
| sP0(multiply(X8,sk_c10))
| inverse(X7) != X8
| sP1(multiply(X7,X8))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c10))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c11))
| sP6(multiply(sk_c9,sk_c10))
| sP7(inverse(X4))
| sP8(multiply(X4,sk_c10))
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c11)) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( multiply(X9,X8) != X10
| inverse(X10) != X8
| inverse(X9) != X10
| sP0(multiply(X8,sk_c10))
| inverse(X7) != X8
| sP1(multiply(X7,X8))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c10))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c11))
| sP6(multiply(sk_c9,sk_c10))
| sP7(inverse(X4))
| sP8(multiply(X4,sk_c10))
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c11)) ),
inference(inequality_splitting,[],[f54,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( multiply(X9,X8) != X10
| inverse(X10) != X8
| inverse(X9) != X10
| sk_c11 != multiply(X8,sk_c10)
| inverse(X7) != X8
| sk_c11 != multiply(X7,X8)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != multiply(sk_c9,sk_c10)
| sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10)
| sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_51) ).
fof(f241,plain,
( spl26_15
| spl26_8 ),
inference(avatar_split_clause,[],[f130,f170,f232]) ).
fof(f130,plain,
( sk_c11 = sF18
| sk_c11 = sF25 ),
inference(definition_folding,[],[f50,f123,f82]) ).
fof(f50,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_47) ).
fof(f240,plain,
( spl26_15
| spl26_7 ),
inference(avatar_split_clause,[],[f129,f165,f232]) ).
fof(f129,plain,
( sk_c8 = sF17
| sk_c11 = sF25 ),
inference(definition_folding,[],[f49,f123,f80]) ).
fof(f49,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_46) ).
fof(f239,plain,
( spl26_15
| spl26_6 ),
inference(avatar_split_clause,[],[f128,f160,f232]) ).
fof(f128,plain,
( sk_c11 = sF16
| sk_c11 = sF25 ),
inference(definition_folding,[],[f48,f123,f78]) ).
fof(f48,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_45) ).
fof(f238,plain,
( spl26_15
| spl26_5 ),
inference(avatar_split_clause,[],[f127,f155,f232]) ).
fof(f127,plain,
( sk_c10 = sF15
| sk_c11 = sF25 ),
inference(definition_folding,[],[f47,f123,f76]) ).
fof(f47,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_44) ).
fof(f237,plain,
( spl26_15
| spl26_4 ),
inference(avatar_split_clause,[],[f126,f150,f232]) ).
fof(f126,plain,
( sk_c9 = sF14
| sk_c11 = sF25 ),
inference(definition_folding,[],[f46,f123,f74]) ).
fof(f46,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_43) ).
fof(f236,plain,
( spl26_15
| spl26_3 ),
inference(avatar_split_clause,[],[f125,f145,f232]) ).
fof(f125,plain,
( sk_c11 = sF13
| sk_c11 = sF25 ),
inference(definition_folding,[],[f45,f123,f72]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_42) ).
fof(f235,plain,
( spl26_15
| spl26_2 ),
inference(avatar_split_clause,[],[f124,f140,f232]) ).
fof(f124,plain,
( sk_c10 = sF11
| sk_c11 = sF25 ),
inference(definition_folding,[],[f44,f123,f69]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_41) ).
fof(f230,plain,
( spl26_14
| spl26_11 ),
inference(avatar_split_clause,[],[f122,f185,f218]) ).
fof(f122,plain,
( sk_c6 = sF21
| sk_c10 = sF24 ),
inference(definition_folding,[],[f43,f112,f88]) ).
fof(f43,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_40) ).
fof(f229,plain,
( spl26_14
| spl26_10 ),
inference(avatar_split_clause,[],[f121,f180,f218]) ).
fof(f121,plain,
( sk_c8 = sF20
| sk_c10 = sF24 ),
inference(definition_folding,[],[f42,f112,f86]) ).
fof(f42,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_39) ).
fof(f228,plain,
( spl26_14
| spl26_9 ),
inference(avatar_split_clause,[],[f120,f175,f218]) ).
fof(f120,plain,
( sk_c6 = sF19
| sk_c10 = sF24 ),
inference(definition_folding,[],[f41,f112,f84]) ).
fof(f41,axiom,
( inverse(sk_c7) = sk_c6
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_38) ).
fof(f227,plain,
( spl26_14
| spl26_8 ),
inference(avatar_split_clause,[],[f119,f170,f218]) ).
fof(f119,plain,
( sk_c11 = sF18
| sk_c10 = sF24 ),
inference(definition_folding,[],[f40,f112,f82]) ).
fof(f40,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_37) ).
fof(f226,plain,
( spl26_14
| spl26_7 ),
inference(avatar_split_clause,[],[f118,f165,f218]) ).
fof(f118,plain,
( sk_c8 = sF17
| sk_c10 = sF24 ),
inference(definition_folding,[],[f39,f112,f80]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_36) ).
fof(f225,plain,
( spl26_14
| spl26_6 ),
inference(avatar_split_clause,[],[f117,f160,f218]) ).
fof(f117,plain,
( sk_c11 = sF16
| sk_c10 = sF24 ),
inference(definition_folding,[],[f38,f112,f78]) ).
fof(f38,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_35) ).
fof(f224,plain,
( spl26_14
| spl26_5 ),
inference(avatar_split_clause,[],[f116,f155,f218]) ).
fof(f116,plain,
( sk_c10 = sF15
| sk_c10 = sF24 ),
inference(definition_folding,[],[f37,f112,f76]) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_34) ).
fof(f223,plain,
( spl26_14
| spl26_4 ),
inference(avatar_split_clause,[],[f115,f150,f218]) ).
fof(f115,plain,
( sk_c9 = sF14
| sk_c10 = sF24 ),
inference(definition_folding,[],[f36,f112,f74]) ).
fof(f36,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_33) ).
fof(f222,plain,
( spl26_14
| spl26_3 ),
inference(avatar_split_clause,[],[f114,f145,f218]) ).
fof(f114,plain,
( sk_c11 = sF13
| sk_c10 = sF24 ),
inference(definition_folding,[],[f35,f112,f72]) ).
fof(f35,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_32) ).
fof(f221,plain,
( spl26_14
| spl26_2 ),
inference(avatar_split_clause,[],[f113,f140,f218]) ).
fof(f113,plain,
( sk_c10 = sF11
| sk_c10 = sF24 ),
inference(definition_folding,[],[f34,f112,f69]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_31) ).
fof(f215,plain,
( spl26_13
| spl26_10 ),
inference(avatar_split_clause,[],[f110,f180,f204]) ).
fof(f110,plain,
( sk_c8 = sF20
| sk_c9 = sF23 ),
inference(definition_folding,[],[f32,f101,f86]) ).
fof(f32,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_29) ).
fof(f214,plain,
( spl26_13
| spl26_9 ),
inference(avatar_split_clause,[],[f109,f175,f204]) ).
fof(f109,plain,
( sk_c6 = sF19
| sk_c9 = sF23 ),
inference(definition_folding,[],[f31,f101,f84]) ).
fof(f31,axiom,
( inverse(sk_c7) = sk_c6
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_28) ).
fof(f213,plain,
( spl26_13
| spl26_8 ),
inference(avatar_split_clause,[],[f108,f170,f204]) ).
fof(f108,plain,
( sk_c11 = sF18
| sk_c9 = sF23 ),
inference(definition_folding,[],[f30,f101,f82]) ).
fof(f30,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_27) ).
fof(f212,plain,
( spl26_13
| spl26_7 ),
inference(avatar_split_clause,[],[f107,f165,f204]) ).
fof(f107,plain,
( sk_c8 = sF17
| sk_c9 = sF23 ),
inference(definition_folding,[],[f29,f101,f80]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_26) ).
fof(f211,plain,
( spl26_13
| spl26_6 ),
inference(avatar_split_clause,[],[f106,f160,f204]) ).
fof(f106,plain,
( sk_c11 = sF16
| sk_c9 = sF23 ),
inference(definition_folding,[],[f28,f101,f78]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_25) ).
fof(f210,plain,
( spl26_13
| spl26_5 ),
inference(avatar_split_clause,[],[f105,f155,f204]) ).
fof(f105,plain,
( sk_c10 = sF15
| sk_c9 = sF23 ),
inference(definition_folding,[],[f27,f101,f76]) ).
fof(f27,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_24) ).
fof(f209,plain,
( spl26_13
| spl26_4 ),
inference(avatar_split_clause,[],[f104,f150,f204]) ).
fof(f104,plain,
( sk_c9 = sF14
| sk_c9 = sF23 ),
inference(definition_folding,[],[f26,f101,f74]) ).
fof(f26,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_23) ).
fof(f208,plain,
( spl26_13
| spl26_3 ),
inference(avatar_split_clause,[],[f103,f145,f204]) ).
fof(f103,plain,
( sk_c11 = sF13
| sk_c9 = sF23 ),
inference(definition_folding,[],[f25,f101,f72]) ).
fof(f25,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_22) ).
fof(f207,plain,
( spl26_13
| spl26_2 ),
inference(avatar_split_clause,[],[f102,f140,f204]) ).
fof(f102,plain,
( sk_c10 = sF11
| sk_c9 = sF23 ),
inference(definition_folding,[],[f24,f101,f69]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_21) ).
fof(f201,plain,
( spl26_12
| spl26_10 ),
inference(avatar_split_clause,[],[f99,f180,f190]) ).
fof(f99,plain,
( sk_c8 = sF20
| sk_c11 = sF22 ),
inference(definition_folding,[],[f22,f90,f86]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_19) ).
fof(f200,plain,
( spl26_12
| spl26_9 ),
inference(avatar_split_clause,[],[f98,f175,f190]) ).
fof(f98,plain,
( sk_c6 = sF19
| sk_c11 = sF22 ),
inference(definition_folding,[],[f21,f90,f84]) ).
fof(f21,axiom,
( inverse(sk_c7) = sk_c6
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_18) ).
fof(f199,plain,
( spl26_12
| spl26_8 ),
inference(avatar_split_clause,[],[f97,f170,f190]) ).
fof(f97,plain,
( sk_c11 = sF18
| sk_c11 = sF22 ),
inference(definition_folding,[],[f20,f90,f82]) ).
fof(f20,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_17) ).
fof(f198,plain,
( spl26_12
| spl26_7 ),
inference(avatar_split_clause,[],[f96,f165,f190]) ).
fof(f96,plain,
( sk_c8 = sF17
| sk_c11 = sF22 ),
inference(definition_folding,[],[f19,f90,f80]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_16) ).
fof(f197,plain,
( spl26_12
| spl26_6 ),
inference(avatar_split_clause,[],[f95,f160,f190]) ).
fof(f95,plain,
( sk_c11 = sF16
| sk_c11 = sF22 ),
inference(definition_folding,[],[f18,f90,f78]) ).
fof(f18,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_15) ).
fof(f196,plain,
( spl26_12
| spl26_5 ),
inference(avatar_split_clause,[],[f94,f155,f190]) ).
fof(f94,plain,
( sk_c10 = sF15
| sk_c11 = sF22 ),
inference(definition_folding,[],[f17,f90,f76]) ).
fof(f17,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_14) ).
fof(f195,plain,
( spl26_12
| spl26_4 ),
inference(avatar_split_clause,[],[f93,f150,f190]) ).
fof(f93,plain,
( sk_c9 = sF14
| sk_c11 = sF22 ),
inference(definition_folding,[],[f16,f90,f74]) ).
fof(f16,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_13) ).
fof(f194,plain,
( spl26_12
| spl26_3 ),
inference(avatar_split_clause,[],[f92,f145,f190]) ).
fof(f92,plain,
( sk_c11 = sF13
| sk_c11 = sF22 ),
inference(definition_folding,[],[f15,f90,f72]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_12) ).
fof(f183,plain,
( spl26_1
| spl26_10 ),
inference(avatar_split_clause,[],[f87,f180,f136]) ).
fof(f87,plain,
( sk_c8 = sF20
| sk_c10 = sF12 ),
inference(definition_folding,[],[f12,f70,f86]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c6)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_9) ).
fof(f178,plain,
( spl26_1
| spl26_9 ),
inference(avatar_split_clause,[],[f85,f175,f136]) ).
fof(f85,plain,
( sk_c6 = sF19
| sk_c10 = sF12 ),
inference(definition_folding,[],[f11,f70,f84]) ).
fof(f11,axiom,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_8) ).
fof(f173,plain,
( spl26_1
| spl26_8 ),
inference(avatar_split_clause,[],[f83,f170,f136]) ).
fof(f83,plain,
( sk_c11 = sF18
| sk_c10 = sF12 ),
inference(definition_folding,[],[f10,f70,f82]) ).
fof(f10,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_7) ).
fof(f168,plain,
( spl26_1
| spl26_7 ),
inference(avatar_split_clause,[],[f81,f165,f136]) ).
fof(f81,plain,
( sk_c8 = sF17
| sk_c10 = sF12 ),
inference(definition_folding,[],[f9,f70,f80]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_6) ).
fof(f163,plain,
( spl26_1
| spl26_6 ),
inference(avatar_split_clause,[],[f79,f160,f136]) ).
fof(f79,plain,
( sk_c11 = sF16
| sk_c10 = sF12 ),
inference(definition_folding,[],[f8,f70,f78]) ).
fof(f8,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_5) ).
fof(f158,plain,
( spl26_1
| spl26_5 ),
inference(avatar_split_clause,[],[f77,f155,f136]) ).
fof(f77,plain,
( sk_c10 = sF15
| sk_c10 = sF12 ),
inference(definition_folding,[],[f7,f70,f76]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_4) ).
fof(f153,plain,
( spl26_1
| spl26_4 ),
inference(avatar_split_clause,[],[f75,f150,f136]) ).
fof(f75,plain,
( sk_c9 = sF14
| sk_c10 = sF12 ),
inference(definition_folding,[],[f6,f70,f74]) ).
fof(f6,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_3) ).
fof(f148,plain,
( spl26_1
| spl26_3 ),
inference(avatar_split_clause,[],[f73,f145,f136]) ).
fof(f73,plain,
( sk_c11 = sF13
| sk_c10 = sF12 ),
inference(definition_folding,[],[f5,f70,f72]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP263-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri May 3 20:50:52 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.09/0.29 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.YZXcjviobn/Vampire---4.8_10251
% 0.46/0.64 % (10588)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.46/0.64 % (10590)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.46/0.64 % (10587)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.46/0.64 % (10589)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.46/0.64 % (10586)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.46/0.64 % (10584)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.46/0.64 % (10583)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.46/0.64 % (10585)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.46/0.64 % (10590)Refutation not found, incomplete strategy% (10590)------------------------------
% 0.46/0.64 % (10590)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64 % (10590)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.64
% 0.46/0.64 % (10590)Memory used [KB]: 1085
% 0.46/0.64 % (10590)Time elapsed: 0.002 s
% 0.46/0.64 % (10590)Instructions burned: 5 (million)
% 0.46/0.64 % (10590)------------------------------
% 0.46/0.64 % (10590)------------------------------
% 0.46/0.64 % (10587)Refutation not found, incomplete strategy% (10587)------------------------------
% 0.46/0.64 % (10587)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64 % (10587)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.64
% 0.46/0.64 % (10587)Memory used [KB]: 1101
% 0.46/0.64 % (10587)Time elapsed: 0.003 s
% 0.46/0.64 % (10587)Instructions burned: 6 (million)
% 0.46/0.64 % (10588)Refutation not found, incomplete strategy% (10588)------------------------------
% 0.46/0.64 % (10588)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64 % (10587)------------------------------
% 0.46/0.64 % (10587)------------------------------
% 0.46/0.64 % (10588)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.64
% 0.46/0.64 % (10588)Memory used [KB]: 1075
% 0.46/0.64 % (10588)Time elapsed: 0.003 s
% 0.46/0.64 % (10588)Instructions burned: 7 (million)
% 0.46/0.64 % (10588)------------------------------
% 0.46/0.64 % (10588)------------------------------
% 0.46/0.64 % (10586)Refutation not found, incomplete strategy% (10586)------------------------------
% 0.46/0.64 % (10586)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64 % (10586)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.64 % (10583)Refutation not found, incomplete strategy% (10583)------------------------------
% 0.46/0.64 % (10583)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64 % (10583)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.64
% 0.46/0.64 % (10583)Memory used [KB]: 1083
% 0.46/0.64 % (10583)Time elapsed: 0.003 s
% 0.46/0.64 % (10583)Instructions burned: 5 (million)
% 0.46/0.64
% 0.46/0.64 % (10586)Memory used [KB]: 1001
% 0.46/0.64 % (10586)Time elapsed: 0.004 s
% 0.46/0.64 % (10586)Instructions burned: 5 (million)
% 0.46/0.64 % (10583)------------------------------
% 0.46/0.64 % (10583)------------------------------
% 0.46/0.64 % (10586)------------------------------
% 0.46/0.64 % (10586)------------------------------
% 0.46/0.64 % (10598)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.46/0.64 % (10585)Refutation not found, incomplete strategy% (10585)------------------------------
% 0.46/0.64 % (10585)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64 % (10585)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.64
% 0.46/0.64 % (10585)Memory used [KB]: 1093
% 0.46/0.64 % (10585)Time elapsed: 0.005 s
% 0.46/0.64 % (10585)Instructions burned: 7 (million)
% 0.46/0.64 % (10600)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.46/0.64 % (10601)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.46/0.64 % (10585)------------------------------
% 0.46/0.64 % (10585)------------------------------
% 0.46/0.65 % (10598)Refutation not found, incomplete strategy% (10598)------------------------------
% 0.46/0.65 % (10598)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.65 % (10598)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.65 % (10600)Refutation not found, incomplete strategy% (10600)------------------------------
% 0.46/0.65 % (10600)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.65
% 0.46/0.65 % (10598)Memory used [KB]: 1109
% 0.46/0.65 % (10598)Time elapsed: 0.003 s
% 0.46/0.65 % (10598)Instructions burned: 8 (million)
% 0.46/0.65 % (10600)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.65
% 0.46/0.65 % (10600)Memory used [KB]: 1076
% 0.46/0.65 % (10600)Time elapsed: 0.003 s
% 0.46/0.65 % (10600)Instructions burned: 9 (million)
% 0.46/0.65 % (10598)------------------------------
% 0.46/0.65 % (10598)------------------------------
% 0.46/0.65 % (10600)------------------------------
% 0.46/0.65 % (10600)------------------------------
% 0.46/0.65 % (10602)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.46/0.65 % (10601)Refutation not found, incomplete strategy% (10601)------------------------------
% 0.46/0.65 % (10601)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.65 % (10601)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.65
% 0.46/0.65 % (10601)Memory used [KB]: 1110
% 0.46/0.65 % (10601)Time elapsed: 0.003 s
% 0.46/0.65 % (10603)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.46/0.65 % (10601)Instructions burned: 9 (million)
% 0.46/0.65 % (10601)------------------------------
% 0.46/0.65 % (10601)------------------------------
% 0.46/0.65 % (10605)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.46/0.65 % (10610)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.46/0.65 % (10609)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.46/0.65 % (10612)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.46/0.65 % (10602)Refutation not found, incomplete strategy% (10602)------------------------------
% 0.46/0.65 % (10602)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.65 % (10602)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.65
% 0.46/0.65 % (10602)Memory used [KB]: 1077
% 0.46/0.65 % (10602)Time elapsed: 0.005 s
% 0.46/0.65 % (10602)Instructions burned: 7 (million)
% 0.46/0.65 % (10610)Refutation not found, incomplete strategy% (10610)------------------------------
% 0.46/0.65 % (10610)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.65 % (10610)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.65
% 0.46/0.65 % (10610)Memory used [KB]: 1022
% 0.46/0.65 % (10610)Time elapsed: 0.002 s
% 0.46/0.65 % (10610)Instructions burned: 5 (million)
% 0.46/0.65 % (10605)Refutation not found, incomplete strategy% (10605)------------------------------
% 0.46/0.65 % (10605)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.65 % (10602)------------------------------
% 0.46/0.65 % (10602)------------------------------
% 0.46/0.65 % (10605)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.65
% 0.46/0.65 % (10605)Memory used [KB]: 1102
% 0.46/0.65 % (10605)Time elapsed: 0.004 s
% 0.46/0.65 % (10605)Instructions burned: 5 (million)
% 0.46/0.65 % (10610)------------------------------
% 0.46/0.65 % (10610)------------------------------
% 0.46/0.65 % (10605)------------------------------
% 0.46/0.65 % (10605)------------------------------
% 0.46/0.65 % (10612)Refutation not found, incomplete strategy% (10612)------------------------------
% 0.46/0.65 % (10612)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.65 % (10612)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.65
% 0.46/0.65 % (10612)Memory used [KB]: 1087
% 0.46/0.65 % (10612)Time elapsed: 0.002 s
% 0.46/0.65 % (10612)Instructions burned: 5 (million)
% 0.46/0.65 % (10612)------------------------------
% 0.46/0.65 % (10612)------------------------------
% 0.46/0.65 % (10615)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.46/0.65 % (10618)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.46/0.65 % (10614)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.46/0.65 % (10615)Refutation not found, incomplete strategy% (10615)------------------------------
% 0.46/0.65 % (10615)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.65 % (10615)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.65
% 0.46/0.65 % (10615)Memory used [KB]: 1021
% 0.46/0.65 % (10615)Time elapsed: 0.002 s
% 0.46/0.65 % (10615)Instructions burned: 4 (million)
% 0.46/0.65 % (10615)------------------------------
% 0.46/0.65 % (10615)------------------------------
% 0.46/0.65 % (10616)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.46/0.66 % (10618)Refutation not found, incomplete strategy% (10618)------------------------------
% 0.46/0.66 % (10618)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.66 % (10618)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.66
% 0.46/0.66 % (10618)Memory used [KB]: 1093
% 0.46/0.66 % (10618)Time elapsed: 0.003 s
% 0.46/0.66 % (10618)Instructions burned: 8 (million)
% 0.46/0.66 % (10609)Refutation not found, incomplete strategy% (10609)------------------------------
% 0.46/0.66 % (10609)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.66 % (10618)------------------------------
% 0.46/0.66 % (10618)------------------------------
% 0.46/0.66 % (10609)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.66
% 0.46/0.66 % (10609)Memory used [KB]: 1205
% 0.46/0.66 % (10609)Time elapsed: 0.008 s
% 0.46/0.66 % (10609)Instructions burned: 24 (million)
% 0.46/0.66 % (10621)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.46/0.66 % (10609)------------------------------
% 0.46/0.66 % (10609)------------------------------
% 0.46/0.66 % (10616)Refutation not found, incomplete strategy% (10616)------------------------------
% 0.46/0.66 % (10616)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.66 % (10616)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.66
% 0.46/0.66 % (10616)Memory used [KB]: 1078
% 0.46/0.66 % (10616)Time elapsed: 0.005 s
% 0.46/0.66 % (10616)Instructions burned: 7 (million)
% 0.46/0.66 % (10616)------------------------------
% 0.46/0.66 % (10616)------------------------------
% 0.46/0.66 % (10625)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.46/0.66 % (10621)Refutation not found, incomplete strategy% (10621)------------------------------
% 0.46/0.66 % (10621)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.66 % (10621)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.66
% 0.46/0.66 % (10621)Memory used [KB]: 1127
% 0.46/0.66 % (10621)Time elapsed: 0.003 s
% 0.46/0.66 % (10621)Instructions burned: 7 (million)
% 0.46/0.66 % (10626)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2996ds/46Mi)
% 0.46/0.66 % (10621)------------------------------
% 0.46/0.66 % (10621)------------------------------
% 0.46/0.66 % (10626)Refutation not found, incomplete strategy% (10626)------------------------------
% 0.46/0.66 % (10626)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.66 % (10626)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.66
% 0.46/0.66 % (10626)Memory used [KB]: 1101
% 0.46/0.66 % (10626)Time elapsed: 0.002 s
% 0.46/0.66 % (10626)Instructions burned: 5 (million)
% 0.46/0.66 % (10626)------------------------------
% 0.46/0.66 % (10626)------------------------------
% 0.46/0.66 % (10630)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2996ds/35Mi)
% 0.46/0.66 % (10629)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2996ds/102Mi)
% 0.46/0.66 % (10589)Instruction limit reached!
% 0.46/0.66 % (10589)------------------------------
% 0.46/0.66 % (10589)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.66 % (10589)Termination reason: Unknown
% 0.46/0.66 % (10589)Termination phase: Saturation
% 0.46/0.66
% 0.46/0.66 % (10589)Memory used [KB]: 1953
% 0.46/0.66 % (10589)Time elapsed: 0.025 s
% 0.46/0.66 % (10589)Instructions burned: 84 (million)
% 0.46/0.66 % (10589)------------------------------
% 0.46/0.66 % (10589)------------------------------
% 0.46/0.66 % (10635)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2996ds/87Mi)
% 0.46/0.66 % (10584)Instruction limit reached!
% 0.46/0.66 % (10584)------------------------------
% 0.46/0.66 % (10584)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.66 % (10584)Termination reason: Unknown
% 0.46/0.66 % (10584)Termination phase: Saturation
% 0.46/0.66
% 0.46/0.66 % (10584)Memory used [KB]: 1709
% 0.46/0.66 % (10584)Time elapsed: 0.027 s
% 0.46/0.66 % (10584)Instructions burned: 51 (million)
% 0.46/0.66 % (10584)------------------------------
% 0.46/0.66 % (10584)------------------------------
% 0.46/0.67 % (10639)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2996ds/109Mi)
% 0.46/0.67 % (10629)Refutation not found, incomplete strategy% (10629)------------------------------
% 0.46/0.67 % (10629)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.67 % (10629)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.67
% 0.46/0.67 % (10629)Memory used [KB]: 1115
% 0.46/0.67 % (10629)Time elapsed: 0.006 s
% 0.46/0.67 % (10629)Instructions burned: 9 (million)
% 0.46/0.67 % (10629)------------------------------
% 0.46/0.67 % (10629)------------------------------
% 0.46/0.67 % (10642)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2996ds/161Mi)
% 0.46/0.67 % (10642)Refutation not found, incomplete strategy% (10642)------------------------------
% 0.46/0.67 % (10642)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.67 % (10644)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2996ds/69Mi)
% 0.46/0.67 % (10642)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.67
% 0.46/0.67 % (10642)Memory used [KB]: 998
% 0.46/0.67 % (10642)Time elapsed: 0.004 s
% 0.46/0.67 % (10642)Instructions burned: 5 (million)
% 0.46/0.67 % (10642)------------------------------
% 0.46/0.67 % (10642)------------------------------
% 0.46/0.67 % (10630)Instruction limit reached!
% 0.46/0.67 % (10630)------------------------------
% 0.46/0.67 % (10630)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.67 % (10630)Termination reason: Unknown
% 0.46/0.67 % (10630)Termination phase: Saturation
% 0.46/0.67
% 0.46/0.67 % (10630)Memory used [KB]: 1188
% 0.46/0.67 % (10630)Time elapsed: 0.011 s
% 0.46/0.67 % (10630)Instructions burned: 37 (million)
% 0.46/0.67 % (10630)------------------------------
% 0.46/0.67 % (10630)------------------------------
% 0.46/0.67 % (10625)Instruction limit reached!
% 0.46/0.67 % (10625)------------------------------
% 0.46/0.67 % (10625)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.67 % (10625)Termination reason: Unknown
% 0.46/0.67 % (10625)Termination phase: Saturation
% 0.46/0.67
% 0.46/0.67 % (10625)Memory used [KB]: 1189
% 0.46/0.67 % (10625)Time elapsed: 0.014 s
% 0.46/0.67 % (10625)Instructions burned: 56 (million)
% 0.46/0.67 % (10625)------------------------------
% 0.46/0.67 % (10625)------------------------------
% 0.46/0.67 % (10649)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2996ds/40Mi)
% 0.46/0.67 % (10644)Refutation not found, incomplete strategy% (10644)------------------------------
% 0.46/0.67 % (10644)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.67 % (10644)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.67
% 0.46/0.67 % (10644)Memory used [KB]: 1123
% 0.46/0.67 % (10644)Time elapsed: 0.005 s
% 0.46/0.67 % (10644)Instructions burned: 7 (million)
% 0.46/0.67 % (10650)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2996ds/360Mi)
% 0.46/0.67 % (10651)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2996ds/161Mi)
% 0.46/0.67 % (10644)------------------------------
% 0.46/0.67 % (10644)------------------------------
% 0.46/0.68 % (10652)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2996ds/80Mi)
% 0.46/0.68 % (10649)Refutation not found, incomplete strategy% (10649)------------------------------
% 0.46/0.68 % (10649)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.68 % (10649)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.68
% 0.46/0.68 % (10649)Memory used [KB]: 1177
% 0.46/0.68 % (10649)Time elapsed: 0.008 s
% 0.46/0.68 % (10649)Instructions burned: 12 (million)
% 0.46/0.68 % (10649)------------------------------
% 0.46/0.68 % (10649)------------------------------
% 0.46/0.68 % (10656)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2996ds/37Mi)
% 0.46/0.68 % (10635)Instruction limit reached!
% 0.46/0.68 % (10635)------------------------------
% 0.46/0.68 % (10635)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.68 % (10635)Termination reason: Unknown
% 0.46/0.68 % (10635)Termination phase: Saturation
% 0.46/0.68
% 0.46/0.68 % (10635)Memory used [KB]: 1477
% 0.46/0.68 % (10635)Time elapsed: 0.023 s
% 0.46/0.68 % (10635)Instructions burned: 90 (million)
% 0.46/0.68 % (10635)------------------------------
% 0.46/0.68 % (10635)------------------------------
% 0.46/0.69 % (10661)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2996ds/55Mi)
% 0.46/0.69 % (10614)Instruction limit reached!
% 0.46/0.69 % (10614)------------------------------
% 0.46/0.69 % (10614)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.69 % (10614)Termination reason: Unknown
% 0.46/0.69 % (10614)Termination phase: Saturation
% 0.46/0.69
% 0.46/0.69 % (10614)Memory used [KB]: 2358
% 0.46/0.69 % (10614)Time elapsed: 0.038 s
% 0.46/0.69 % (10614)Instructions burned: 94 (million)
% 0.46/0.69 % (10614)------------------------------
% 0.46/0.69 % (10614)------------------------------
% 0.46/0.69 % (10666)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2995ds/47Mi)
% 0.74/0.70 % (10656)Instruction limit reached!
% 0.74/0.70 % (10656)------------------------------
% 0.74/0.70 % (10656)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.70 % (10656)Termination reason: Unknown
% 0.74/0.70 % (10656)Termination phase: Saturation
% 0.74/0.70
% 0.74/0.70 % (10656)Memory used [KB]: 1738
% 0.74/0.70 % (10656)Time elapsed: 0.038 s
% 0.74/0.70 % (10656)Instructions burned: 38 (million)
% 0.74/0.70 % (10656)------------------------------
% 0.74/0.70 % (10656)------------------------------
% 0.74/0.70 % (10639)Instruction limit reached!
% 0.74/0.70 % (10639)------------------------------
% 0.74/0.70 % (10639)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.70 % (10639)Termination reason: Unknown
% 0.74/0.70 % (10639)Termination phase: Saturation
% 0.74/0.70
% 0.74/0.70 % (10639)Memory used [KB]: 2186
% 0.74/0.70 % (10639)Time elapsed: 0.035 s
% 0.74/0.70 % (10639)Instructions burned: 111 (million)
% 0.74/0.70 % (10639)------------------------------
% 0.74/0.70 % (10639)------------------------------
% 0.74/0.70 % (10674)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2995ds/32Mi)
% 0.74/0.70 % (10652)Instruction limit reached!
% 0.74/0.70 % (10652)------------------------------
% 0.74/0.70 % (10652)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.70 % (10652)Termination reason: Unknown
% 0.74/0.70 % (10652)Termination phase: Saturation
% 0.74/0.70
% 0.74/0.70 % (10652)Memory used [KB]: 1251
% 0.74/0.70 % (10652)Time elapsed: 0.047 s
% 0.74/0.70 % (10652)Instructions burned: 82 (million)
% 0.74/0.70 % (10652)------------------------------
% 0.74/0.70 % (10652)------------------------------
% 0.74/0.70 % (10675)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2995ds/132Mi)
% 0.74/0.70 % (10674)Refutation not found, incomplete strategy% (10674)------------------------------
% 0.74/0.70 % (10674)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.70 % (10674)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.70
% 0.74/0.70 % (10674)Memory used [KB]: 1085
% 0.74/0.70 % (10674)Time elapsed: 0.003 s
% 0.74/0.70 % (10674)Instructions burned: 5 (million)
% 0.74/0.70 % (10674)------------------------------
% 0.74/0.70 % (10674)------------------------------
% 0.74/0.70 % (10675)Refutation not found, incomplete strategy% (10675)------------------------------
% 0.74/0.70 % (10675)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.70 % (10675)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.70
% 0.74/0.70 % (10675)Memory used [KB]: 973
% 0.74/0.70 % (10675)Time elapsed: 0.002 s
% 0.74/0.70 % (10675)Instructions burned: 6 (million)
% 0.74/0.70 % (10675)------------------------------
% 0.74/0.70 % (10675)------------------------------
% 0.74/0.70 % (10677)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2995ds/54Mi)
% 0.74/0.70 % (10661)Instruction limit reached!
% 0.74/0.70 % (10661)------------------------------
% 0.74/0.70 % (10661)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.70 % (10661)Termination reason: Unknown
% 0.74/0.70 % (10661)Termination phase: Saturation
% 0.74/0.70
% 0.74/0.70 % (10661)Memory used [KB]: 1590
% 0.74/0.70 % (10661)Time elapsed: 0.018 s
% 0.74/0.70 % (10661)Instructions burned: 57 (million)
% 0.74/0.70 % (10661)------------------------------
% 0.74/0.70 % (10661)------------------------------
% 0.74/0.71 % (10677)Refutation not found, incomplete strategy% (10677)------------------------------
% 0.74/0.71 % (10677)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.71 % (10677)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.71
% 0.74/0.71 % (10677)Memory used [KB]: 1000
% 0.74/0.71 % (10677)Time elapsed: 0.003 s
% 0.74/0.71 % (10677)Instructions burned: 6 (million)
% 0.74/0.71 % (10678)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2995ds/82Mi)
% 0.74/0.71 % (10679)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2995ds/119Mi)
% 0.74/0.71 % (10677)------------------------------
% 0.74/0.71 % (10677)------------------------------
% 0.74/0.71 % (10680)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2995ds/177Mi)
% 0.74/0.71 % (10681)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on Vampire---4 for (2995ds/117Mi)
% 0.74/0.71 % (10651)Instruction limit reached!
% 0.74/0.71 % (10651)------------------------------
% 0.74/0.71 % (10651)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.71 % (10651)Termination reason: Unknown
% 0.74/0.71 % (10651)Termination phase: Saturation
% 0.74/0.71
% 0.74/0.71 % (10651)Memory used [KB]: 2565
% 0.74/0.71 % (10651)Time elapsed: 0.038 s
% 0.74/0.71 % (10651)Instructions burned: 161 (million)
% 0.74/0.71 % (10651)------------------------------
% 0.74/0.71 % (10651)------------------------------
% 0.74/0.71 % (10666)Instruction limit reached!
% 0.74/0.71 % (10666)------------------------------
% 0.74/0.71 % (10666)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.71 % (10666)Termination reason: Unknown
% 0.74/0.71 % (10666)Termination phase: Saturation
% 0.74/0.71
% 0.74/0.71 % (10666)Memory used [KB]: 1592
% 0.74/0.71 % (10666)Time elapsed: 0.020 s
% 0.74/0.71 % (10666)Instructions burned: 47 (million)
% 0.74/0.71 % (10666)------------------------------
% 0.74/0.71 % (10666)------------------------------
% 0.74/0.71 % (10685)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on Vampire---4 for (2995ds/49Mi)
% 0.74/0.71 % (10686)lrs-1011_8:1_sil=2000:spb=goal:urr=on:sac=on:i=51:afp=10000:fsr=off:ss=axioms:avsq=on:avsqr=17819,524288:bd=off:bsd=on:fd=off:sims=off:rawr=on:alpa=true:bsr=on:aer=off_0 on Vampire---4 for (2995ds/51Mi)
% 0.74/0.73 % (10650)First to succeed.
% 0.74/0.73 % (10685)Instruction limit reached!
% 0.74/0.73 % (10685)------------------------------
% 0.74/0.73 % (10685)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.73 % (10685)Termination reason: Unknown
% 0.74/0.73 % (10685)Termination phase: Saturation
% 0.74/0.73
% 0.74/0.73 % (10685)Memory used [KB]: 1584
% 0.74/0.73 % (10685)Time elapsed: 0.015 s
% 0.74/0.73 % (10685)Instructions burned: 52 (million)
% 0.74/0.73 % (10685)------------------------------
% 0.74/0.73 % (10685)------------------------------
% 0.74/0.73 % (10678)Instruction limit reached!
% 0.74/0.73 % (10678)------------------------------
% 0.74/0.73 % (10678)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.73 % (10678)Termination reason: Unknown
% 0.74/0.73 % (10678)Termination phase: Saturation
% 0.74/0.73
% 0.74/0.73 % (10678)Memory used [KB]: 1386
% 0.74/0.73 % (10678)Time elapsed: 0.025 s
% 0.74/0.73 % (10678)Instructions burned: 85 (million)
% 0.74/0.73 % (10678)------------------------------
% 0.74/0.73 % (10678)------------------------------
% 0.74/0.73 % (10693)lrs+1011_1:1024_sil=8000:sp=unary_first:nwc=10.0:st=3.0:s2a=on:i=149:s2at=5.0:awrs=converge:awrsf=390:ep=R:av=off:ss=axioms:s2agt=32_0 on Vampire---4 for (2995ds/149Mi)
% 0.74/0.73 % (10650)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10488"
% 0.74/0.73 % (10693)Refutation not found, incomplete strategy% (10693)------------------------------
% 0.74/0.73 % (10693)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.73 % (10693)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.73
% 0.74/0.73 % (10693)Memory used [KB]: 983
% 0.74/0.73 % (10693)Time elapsed: 0.002 s
% 0.74/0.73 % (10693)Instructions burned: 5 (million)
% 0.74/0.73 % (10693)------------------------------
% 0.74/0.73 % (10693)------------------------------
% 0.74/0.73 % (10650)Refutation found. Thanks to Tanya!
% 0.74/0.73 % SZS status Unsatisfiable for Vampire---4
% 0.74/0.73 % SZS output start Proof for Vampire---4
% See solution above
% 0.74/0.73 % (10650)------------------------------
% 0.74/0.73 % (10650)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.73 % (10650)Termination reason: Refutation
% 0.74/0.73
% 0.74/0.73 % (10650)Memory used [KB]: 2165
% 0.74/0.73 % (10650)Time elapsed: 0.058 s
% 0.74/0.73 % (10650)Instructions burned: 178 (million)
% 0.74/0.73 % (10488)Success in time 0.439 s
% 0.74/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------