TSTP Solution File: GRP328-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP328-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:23 EDT 2022
% Result : Unsatisfiable 1.81s 0.59s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 57
% Syntax : Number of formulae : 320 ( 30 unt; 0 def)
% Number of atoms : 1217 ( 380 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1725 ( 828 ~; 882 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1241,plain,
$false,
inference(avatar_sat_refutation,[],[f96,f111,f116,f121,f122,f128,f133,f134,f135,f136,f137,f138,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f284,f338,f556,f594,f622,f669,f784,f833,f867,f1065,f1240]) ).
fof(f1240,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f1239]) ).
fof(f1239,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f1234,f1188]) ).
fof(f1188,plain,
( identity = inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f1134,f1139]) ).
fof(f1139,plain,
( identity = sk_c7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1135,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f1135,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f1104,f1128]) ).
fof(f1128,plain,
( identity = sk_c6
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1126,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1126,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(superposition,[],[f183,f1001]) ).
fof(f1001,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f987,f989]) ).
fof(f989,plain,
( sk_c7 = sk_c8
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f980,f988]) ).
fof(f988,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl11_3 ),
inference(forward_demodulation,[],[f53,f91]) ).
fof(f91,plain,
( sk_c7 = sF9
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl11_3
<=> sk_c7 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f53,plain,
multiply(sk_c8,sk_c5) = sF9,
introduced(function_definition,[]) ).
fof(f980,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f598,f143]) ).
fof(f143,plain,
( sk_c8 = sF7
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl11_13
<=> sk_c8 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f598,plain,
( sk_c8 = multiply(sF7,sk_c5)
| ~ spl11_9 ),
inference(forward_demodulation,[],[f204,f49]) ).
fof(f49,plain,
inverse(sk_c4) = sF7,
introduced(function_definition,[]) ).
fof(f204,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c5)
| ~ spl11_9 ),
inference(superposition,[],[f183,f162]) ).
fof(f162,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f37,f115]) ).
fof(f115,plain,
( sk_c5 = sF0
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl11_9
<=> sk_c5 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f37,plain,
multiply(sk_c4,sk_c8) = sF0,
introduced(function_definition,[]) ).
fof(f987,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl11_6 ),
inference(forward_demodulation,[],[f40,f103]) ).
fof(f103,plain,
( sk_c8 = sF2
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl11_6
<=> sk_c8 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f40,plain,
multiply(sk_c7,sk_c6) = sF2,
introduced(function_definition,[]) ).
fof(f183,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f171,f1]) ).
fof(f171,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f1104,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1016,f86]) ).
fof(f86,plain,
( sk_c6 = sF8
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl11_2
<=> sk_c6 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f1016,plain,
( sk_c7 = multiply(sF8,sk_c6)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f1008,f99]) ).
fof(f99,plain,
( sk_c6 = sF3
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl11_5
<=> sk_c6 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f1008,plain,
( sk_c7 = multiply(sF8,sF3)
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f1003,f1007]) ).
fof(f1007,plain,
( inverse(sk_c7) = sF8
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f51,f989]) ).
fof(f51,plain,
inverse(sk_c8) = sF8,
introduced(function_definition,[]) ).
fof(f1003,plain,
( sk_c7 = multiply(inverse(sk_c7),sF3)
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f199,f989]) ).
fof(f199,plain,
sk_c8 = multiply(inverse(sk_c7),sF3),
inference(superposition,[],[f183,f41]) ).
fof(f41,plain,
multiply(sk_c7,sk_c8) = sF3,
introduced(function_definition,[]) ).
fof(f1134,plain,
( identity = inverse(sk_c7)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f1099,f1128]) ).
fof(f1099,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f1007,f86]) ).
fof(f1234,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(trivial_inequality_removal,[],[f1231]) ).
fof(f1231,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(superposition,[],[f1197,f1]) ).
fof(f1197,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1185,f1139]) ).
fof(f1185,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c7) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f1020,f1139]) ).
fof(f1020,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c7) )
| ~ spl11_3
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f110,f989]) ).
fof(f110,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl11_8
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f1065,plain,
( spl11_16
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f1024,f341,f141,f124,f113,f93,f89,f351]) ).
fof(f351,plain,
( spl11_16
<=> identity = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).
fof(f93,plain,
( spl11_4
<=> sk_c7 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f124,plain,
( spl11_11
<=> sk_c8 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f341,plain,
( spl11_14
<=> identity = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f1024,plain,
( identity = sF10
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f95,f1021]) ).
fof(f1021,plain,
( identity = sk_c7
| ~ spl11_3
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f989,f964]) ).
fof(f964,plain,
( identity = sk_c8
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f126,f342]) ).
fof(f342,plain,
( identity = sF1
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f126,plain,
( sk_c8 = sF1
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f95,plain,
( sk_c7 = sF10
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f867,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f866]) ).
fof(f866,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f861,f786]) ).
fof(f786,plain,
( identity = inverse(identity)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f785,f762]) ).
fof(f762,plain,
( identity = sk_c8
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f761,f2]) ).
fof(f761,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f199,f481]) ).
fof(f481,plain,
( sk_c7 = sF3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(backward_demodulation,[],[f99,f480]) ).
fof(f480,plain,
( sk_c7 = sk_c6
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(backward_demodulation,[],[f476,f479]) ).
fof(f479,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl11_4
| ~ spl11_10 ),
inference(backward_demodulation,[],[f359,f95]) ).
fof(f359,plain,
( sk_c7 = multiply(sF10,sk_c8)
| ~ spl11_10 ),
inference(forward_demodulation,[],[f213,f120]) ).
fof(f120,plain,
( sk_c8 = sF5
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl11_10
<=> sk_c8 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f213,plain,
sk_c7 = multiply(sF10,sF5),
inference(forward_demodulation,[],[f205,f54]) ).
fof(f54,plain,
inverse(sk_c1) = sF10,
introduced(function_definition,[]) ).
fof(f205,plain,
sk_c7 = multiply(inverse(sk_c1),sF5),
inference(superposition,[],[f183,f46]) ).
fof(f46,plain,
multiply(sk_c1,sk_c7) = sF5,
introduced(function_definition,[]) ).
fof(f476,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl11_5 ),
inference(backward_demodulation,[],[f41,f99]) ).
fof(f785,plain,
( sk_c8 = inverse(identity)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f499,f776]) ).
fof(f776,plain,
( identity = sk_c2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f651,f775]) ).
fof(f775,plain,
( ! [X0] : multiply(sF8,X0) = X0
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f194,f774]) ).
fof(f774,plain,
( sF8 = inverse(identity)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f51,f762]) ).
fof(f194,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f183,f1]) ).
fof(f651,plain,
( sk_c2 = multiply(sF8,identity)
| ~ spl11_11 ),
inference(forward_demodulation,[],[f474,f51]) ).
fof(f474,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl11_11 ),
inference(forward_demodulation,[],[f207,f126]) ).
fof(f207,plain,
sk_c2 = multiply(inverse(sF1),identity),
inference(superposition,[],[f183,f168]) ).
fof(f168,plain,
identity = multiply(sF1,sk_c2),
inference(superposition,[],[f2,f38]) ).
fof(f38,plain,
inverse(sk_c2) = sF1,
introduced(function_definition,[]) ).
fof(f499,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl11_11 ),
inference(forward_demodulation,[],[f38,f126]) ).
fof(f861,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f858]) ).
fof(f858,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(superposition,[],[f845,f1]) ).
fof(f845,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f844,f762]) ).
fof(f844,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f843,f796]) ).
fof(f796,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f782,f795]) ).
fof(f795,plain,
( ! [X11] : multiply(sk_c7,X11) = X11
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f794,f1]) ).
fof(f794,plain,
( ! [X11] : multiply(identity,X11) = multiply(sk_c7,X11)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f793,f762]) ).
fof(f793,plain,
( ! [X11] : multiply(sk_c7,X11) = multiply(sk_c8,X11)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f478,f778]) ).
fof(f778,plain,
( ! [X16] : multiply(sk_c3,X16) = X16
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f777,f1]) ).
fof(f777,plain,
( ! [X16] : multiply(identity,X16) = multiply(sk_c3,X16)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f770,f776]) ).
fof(f770,plain,
( ! [X16] : multiply(sk_c2,X16) = multiply(sk_c3,X16)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f768,f1]) ).
fof(f768,plain,
( ! [X16] : multiply(sk_c2,multiply(identity,X16)) = multiply(sk_c3,X16)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_12 ),
inference(backward_demodulation,[],[f489,f762]) ).
fof(f489,plain,
( ! [X16] : multiply(sk_c2,multiply(sk_c8,X16)) = multiply(sk_c3,X16)
| ~ spl11_12 ),
inference(backward_demodulation,[],[f180,f132]) ).
fof(f132,plain,
( sk_c3 = sF6
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl11_12
<=> sk_c3 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f180,plain,
! [X16] : multiply(sk_c2,multiply(sk_c8,X16)) = multiply(sF6,X16),
inference(superposition,[],[f3,f48]) ).
fof(f48,plain,
multiply(sk_c2,sk_c8) = sF6,
introduced(function_definition,[]) ).
fof(f478,plain,
( ! [X11] : multiply(sk_c7,X11) = multiply(sk_c8,multiply(sk_c3,X11))
| ~ spl11_1 ),
inference(forward_demodulation,[],[f175,f82]) ).
fof(f82,plain,
( sk_c7 = sF4
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl11_1
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f175,plain,
! [X11] : multiply(sk_c8,multiply(sk_c3,X11)) = multiply(sF4,X11),
inference(superposition,[],[f3,f43]) ).
fof(f43,plain,
multiply(sk_c8,sk_c3) = sF4,
introduced(function_definition,[]) ).
fof(f782,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f479,f762]) ).
fof(f843,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f110,f796]) ).
fof(f833,plain,
( ~ spl11_1
| spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f832]) ).
fof(f832,plain,
( $false
| ~ spl11_1
| spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f831,f816]) ).
fof(f816,plain,
( identity != sk_c6
| spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f85,f787]) ).
fof(f787,plain,
( identity = sF8
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f774,f786]) ).
fof(f85,plain,
( sk_c6 != sF8
| spl11_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f831,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f480,f796]) ).
fof(f784,plain,
( spl11_14
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f783,f124,f118,f98,f93,f341]) ).
fof(f783,plain,
( identity = sF1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f126,f762]) ).
fof(f669,plain,
( spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_16 ),
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f668,plain,
( $false
| spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_16 ),
inference(subsumption_resolution,[],[f667,f657]) ).
fof(f657,plain,
( identity != sF8
| spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_16 ),
inference(backward_demodulation,[],[f85,f656]) ).
fof(f656,plain,
( identity = sk_c6
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_16 ),
inference(forward_demodulation,[],[f480,f626]) ).
fof(f626,plain,
( identity = sk_c7
| ~ spl11_4
| ~ spl11_16 ),
inference(forward_demodulation,[],[f95,f352]) ).
fof(f352,plain,
( identity = sF10
| ~ spl11_16 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f667,plain,
( identity = sF8
| ~ spl11_4
| ~ spl11_11
| ~ spl11_14
| ~ spl11_16 ),
inference(forward_demodulation,[],[f659,f649]) ).
fof(f649,plain,
( identity = inverse(identity)
| ~ spl11_4
| ~ spl11_16 ),
inference(forward_demodulation,[],[f648,f626]) ).
fof(f648,plain,
( sk_c7 = inverse(identity)
| ~ spl11_4
| ~ spl11_16 ),
inference(forward_demodulation,[],[f369,f635]) ).
fof(f635,plain,
( identity = sk_c1
| ~ spl11_4
| ~ spl11_16 ),
inference(forward_demodulation,[],[f628,f2]) ).
fof(f628,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl11_4
| ~ spl11_16 ),
inference(backward_demodulation,[],[f366,f626]) ).
fof(f366,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f208,f95]) ).
fof(f208,plain,
sk_c1 = multiply(inverse(sF10),identity),
inference(superposition,[],[f183,f167]) ).
fof(f167,plain,
identity = multiply(sF10,sk_c1),
inference(superposition,[],[f2,f54]) ).
fof(f369,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f54,f95]) ).
fof(f659,plain,
( sF8 = inverse(identity)
| ~ spl11_11
| ~ spl11_14 ),
inference(backward_demodulation,[],[f51,f658]) ).
fof(f658,plain,
( identity = sk_c8
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f126,f342]) ).
fof(f622,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f621,plain,
( $false
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f620,f586]) ).
fof(f586,plain,
( identity = inverse(identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f511,f531]) ).
fof(f531,plain,
( identity = sk_c8
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f520,f527]) ).
fof(f527,plain,
( ! [X11] : multiply(sk_c8,X11) = X11
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f526,f1]) ).
fof(f526,plain,
( ! [X11] : multiply(sk_c8,multiply(identity,X11)) = multiply(identity,X11)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f506,f518]) ).
fof(f518,plain,
( identity = sk_c3
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f512,f1]) ).
fof(f512,plain,
( sk_c3 = multiply(identity,identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(backward_demodulation,[],[f486,f501]) ).
fof(f501,plain,
( identity = sk_c7
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(backward_demodulation,[],[f479,f500]) ).
fof(f500,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f368,f492]) ).
fof(f492,plain,
( sk_c8 = sk_c1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(backward_demodulation,[],[f366,f491]) ).
fof(f491,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f203,f480]) ).
fof(f203,plain,
( sk_c8 = multiply(inverse(sk_c6),identity)
| ~ spl11_2 ),
inference(superposition,[],[f183,f165]) ).
fof(f165,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl11_2 ),
inference(superposition,[],[f2,f164]) ).
fof(f164,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f51,f86]) ).
fof(f368,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f167,f95]) ).
fof(f486,plain,
( sk_c3 = multiply(sk_c7,sk_c7)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(backward_demodulation,[],[f484,f485]) ).
fof(f485,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f164,f480]) ).
fof(f484,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c7)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f201,f82]) ).
fof(f201,plain,
sk_c3 = multiply(inverse(sk_c8),sF4),
inference(superposition,[],[f183,f43]) ).
fof(f506,plain,
( ! [X11] : multiply(identity,X11) = multiply(sk_c8,multiply(sk_c3,X11))
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(backward_demodulation,[],[f478,f501]) ).
fof(f520,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f488,f518]) ).
fof(f488,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f475,f132]) ).
fof(f475,plain,
( sk_c8 = multiply(sk_c8,sF6)
| ~ spl11_11 ),
inference(forward_demodulation,[],[f211,f126]) ).
fof(f211,plain,
sk_c8 = multiply(sF1,sF6),
inference(forward_demodulation,[],[f206,f38]) ).
fof(f206,plain,
sk_c8 = multiply(inverse(sk_c2),sF6),
inference(superposition,[],[f183,f48]) ).
fof(f511,plain,
( identity = inverse(sk_c8)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(backward_demodulation,[],[f485,f501]) ).
fof(f620,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f619,f586]) ).
fof(f619,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f616,f1]) ).
fof(f616,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(superposition,[],[f592,f2]) ).
fof(f592,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f585,f531]) ).
fof(f585,plain,
( ! [X7] :
( identity != multiply(sk_c8,multiply(X7,sk_c8))
| identity != inverse(X7) )
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f505,f531]) ).
fof(f505,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| identity != multiply(sk_c8,multiply(X7,sk_c8)) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(backward_demodulation,[],[f107,f501]) ).
fof(f107,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl11_7
<=> ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f594,plain,
( ~ spl11_1
| ~ spl11_2
| spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f593]) ).
fof(f593,plain,
( $false
| ~ spl11_1
| ~ spl11_2
| spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f583,f503]) ).
fof(f503,plain,
( identity != sF9
| ~ spl11_2
| spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(backward_demodulation,[],[f90,f501]) ).
fof(f90,plain,
( sk_c7 != sF9
| spl11_3 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f583,plain,
( identity = sF9
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f473,f531]) ).
fof(f473,plain,
( sk_c8 = sF9
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f53,f214]) ).
fof(f214,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f204,f160]) ).
fof(f160,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl11_13 ),
inference(backward_demodulation,[],[f49,f143]) ).
fof(f556,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| spl11_6
| ~ spl11_10 ),
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f555,plain,
( $false
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| spl11_6
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f554,f525]) ).
fof(f525,plain,
( identity != sk_c8
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| spl11_6
| ~ spl11_10 ),
inference(backward_demodulation,[],[f104,f523]) ).
fof(f523,plain,
( identity = sF2
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(backward_demodulation,[],[f497,f518]) ).
fof(f497,plain,
( sk_c3 = sF2
| ~ spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f496,f486]) ).
fof(f496,plain,
( sF2 = multiply(sk_c7,sk_c7)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f40,f480]) ).
fof(f104,plain,
( sk_c8 != sF2
| spl11_6 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f554,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f553,f2]) ).
fof(f553,plain,
( sk_c8 = multiply(inverse(identity),identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f552,f501]) ).
fof(f552,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(forward_demodulation,[],[f199,f508]) ).
fof(f508,plain,
( identity = sF3
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10 ),
inference(backward_demodulation,[],[f481,f501]) ).
fof(f338,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f337]) ).
fof(f337,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f336,f278]) ).
fof(f278,plain,
( identity = inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f252,f263]) ).
fof(f263,plain,
( identity = sk_c7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f239,f260]) ).
fof(f260,plain,
( identity = multiply(sk_c7,identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f227,f257]) ).
fof(f257,plain,
( identity = sk_c4
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f250,f1]) ).
fof(f250,plain,
( sk_c4 = multiply(identity,identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f210,f247]) ).
fof(f247,plain,
( identity = sk_c6
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f246,f2]) ).
fof(f246,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f198,f215]) ).
fof(f215,plain,
( sk_c7 = sk_c8
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f214,f161]) ).
fof(f161,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f53,f91]) ).
fof(f198,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c8)
| ~ spl11_6 ),
inference(superposition,[],[f183,f163]) ).
fof(f163,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl11_6 ),
inference(backward_demodulation,[],[f40,f103]) ).
fof(f210,plain,
( sk_c4 = multiply(sk_c6,identity)
| ~ spl11_2
| ~ spl11_13 ),
inference(forward_demodulation,[],[f202,f164]) ).
fof(f202,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl11_13 ),
inference(superposition,[],[f183,f166]) ).
fof(f166,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl11_13 ),
inference(superposition,[],[f2,f160]) ).
fof(f227,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f166,f215]) ).
fof(f239,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f222,f237]) ).
fof(f237,plain,
( identity = sk_c5
| ~ spl11_2
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f212,f226]) ).
fof(f226,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f165,f215]) ).
fof(f212,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl11_2
| ~ spl11_3 ),
inference(forward_demodulation,[],[f200,f164]) ).
fof(f200,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c7)
| ~ spl11_3 ),
inference(superposition,[],[f183,f161]) ).
fof(f222,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f161,f215]) ).
fof(f252,plain,
( identity = inverse(sk_c7)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f225,f247]) ).
fof(f225,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f164,f215]) ).
fof(f336,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f335,f278]) ).
fof(f335,plain,
( identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f328,f1]) ).
fof(f328,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13 ),
inference(superposition,[],[f314,f2]) ).
fof(f314,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f313,f263]) ).
fof(f313,plain,
( ! [X7] :
( sk_c7 != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f312,f268]) ).
fof(f268,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f215,f263]) ).
fof(f312,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| identity != inverse(X7) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f107,f268]) ).
fof(f284,plain,
( ~ spl11_2
| ~ spl11_3
| spl11_5
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f283,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| spl11_5
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f282,f249]) ).
fof(f249,plain,
( identity != sF3
| ~ spl11_3
| spl11_5
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f100,f247]) ).
fof(f100,plain,
( sk_c6 != sF3
| spl11_5 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f282,plain,
( identity = sF3
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f269,f1]) ).
fof(f269,plain,
( sF3 = multiply(identity,identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f216,f263]) ).
fof(f216,plain,
( sF3 = multiply(sk_c7,sk_c7)
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f41,f215]) ).
fof(f159,plain,
( spl11_1
| spl11_3 ),
inference(avatar_split_clause,[],[f58,f89,f80]) ).
fof(f58,plain,
( sk_c7 = sF9
| sk_c7 = sF4 ),
inference(definition_folding,[],[f21,f53,f43]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f158,plain,
( spl11_13
| spl11_4 ),
inference(avatar_split_clause,[],[f60,f93,f141]) ).
fof(f60,plain,
( sk_c7 = sF10
| sk_c8 = sF7 ),
inference(definition_folding,[],[f18,f49,f54]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f157,plain,
( spl11_9
| spl11_4 ),
inference(avatar_split_clause,[],[f74,f93,f113]) ).
fof(f74,plain,
( sk_c7 = sF10
| sk_c5 = sF0 ),
inference(definition_folding,[],[f17,f37,f54]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f156,plain,
( spl11_6
| spl11_1 ),
inference(avatar_split_clause,[],[f45,f80,f102]) ).
fof(f45,plain,
( sk_c7 = sF4
| sk_c8 = sF2 ),
inference(definition_folding,[],[f19,f40,f43]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = multiply(sk_c7,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f155,plain,
( spl11_12
| spl11_13 ),
inference(avatar_split_clause,[],[f50,f141,f130]) ).
fof(f50,plain,
( sk_c8 = sF7
| sk_c3 = sF6 ),
inference(definition_folding,[],[f28,f49,f48]) ).
fof(f28,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f154,plain,
( spl11_3
| spl11_11 ),
inference(avatar_split_clause,[],[f59,f124,f89]) ).
fof(f59,plain,
( sk_c8 = sF1
| sk_c7 = sF9 ),
inference(definition_folding,[],[f31,f38,f53]) ).
fof(f31,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f153,plain,
( spl11_12
| spl11_3 ),
inference(avatar_split_clause,[],[f78,f89,f130]) ).
fof(f78,plain,
( sk_c7 = sF9
| sk_c3 = sF6 ),
inference(definition_folding,[],[f26,f53,f48]) ).
fof(f26,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f152,plain,
( spl11_5
| spl11_13 ),
inference(avatar_split_clause,[],[f71,f141,f98]) ).
fof(f71,plain,
( sk_c8 = sF7
| sk_c6 = sF3 ),
inference(definition_folding,[],[f8,f41,f49]) ).
fof(f8,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f151,plain,
( spl11_13
| spl11_11 ),
inference(avatar_split_clause,[],[f66,f124,f141]) ).
fof(f66,plain,
( sk_c8 = sF1
| sk_c8 = sF7 ),
inference(definition_folding,[],[f33,f38,f49]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f150,plain,
( spl11_10
| spl11_6 ),
inference(avatar_split_clause,[],[f47,f102,f118]) ).
fof(f47,plain,
( sk_c8 = sF2
| sk_c8 = sF5 ),
inference(definition_folding,[],[f9,f46,f40]) ).
fof(f9,axiom,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f149,plain,
( spl11_9
| spl11_11 ),
inference(avatar_split_clause,[],[f39,f124,f113]) ).
fof(f39,plain,
( sk_c8 = sF1
| sk_c5 = sF0 ),
inference(definition_folding,[],[f32,f38,f37]) ).
fof(f32,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f148,plain,
( spl11_10
| spl11_2 ),
inference(avatar_split_clause,[],[f61,f84,f118]) ).
fof(f61,plain,
( sk_c6 = sF8
| sk_c8 = sF5 ),
inference(definition_folding,[],[f10,f51,f46]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f147,plain,
( spl11_3
| spl11_5 ),
inference(avatar_split_clause,[],[f69,f98,f89]) ).
fof(f69,plain,
( sk_c6 = sF3
| sk_c7 = sF9 ),
inference(definition_folding,[],[f6,f53,f41]) ).
fof(f6,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f146,plain,
( spl11_2
| spl11_4 ),
inference(avatar_split_clause,[],[f67,f93,f84]) ).
fof(f67,plain,
( sk_c7 = sF10
| sk_c6 = sF8 ),
inference(definition_folding,[],[f15,f54,f51]) ).
fof(f15,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f145,plain,
( spl11_13
| spl11_10 ),
inference(avatar_split_clause,[],[f65,f118,f141]) ).
fof(f65,plain,
( sk_c8 = sF5
| sk_c8 = sF7 ),
inference(definition_folding,[],[f13,f46,f49]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f144,plain,
( spl11_1
| spl11_13 ),
inference(avatar_split_clause,[],[f75,f141,f80]) ).
fof(f75,plain,
( sk_c8 = sF7
| sk_c7 = sF4 ),
inference(definition_folding,[],[f23,f43,f49]) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f138,plain,
( spl11_5
| spl11_9 ),
inference(avatar_split_clause,[],[f62,f113,f98]) ).
fof(f62,plain,
( sk_c5 = sF0
| sk_c6 = sF3 ),
inference(definition_folding,[],[f7,f37,f41]) ).
fof(f7,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f137,plain,
( spl11_6
| spl11_4 ),
inference(avatar_split_clause,[],[f57,f93,f102]) ).
fof(f57,plain,
( sk_c7 = sF10
| sk_c8 = sF2 ),
inference(definition_folding,[],[f14,f54,f40]) ).
fof(f14,axiom,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f136,plain,
( spl11_9
| spl11_12 ),
inference(avatar_split_clause,[],[f70,f130,f113]) ).
fof(f70,plain,
( sk_c3 = sF6
| sk_c5 = sF0 ),
inference(definition_folding,[],[f27,f37,f48]) ).
fof(f27,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f135,plain,
( spl11_2
| spl11_5 ),
inference(avatar_split_clause,[],[f68,f98,f84]) ).
fof(f68,plain,
( sk_c6 = sF3
| sk_c6 = sF8 ),
inference(definition_folding,[],[f5,f51,f41]) ).
fof(f5,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f134,plain,
( spl11_10
| spl11_3 ),
inference(avatar_split_clause,[],[f64,f89,f118]) ).
fof(f64,plain,
( sk_c7 = sF9
| sk_c8 = sF5 ),
inference(definition_folding,[],[f11,f46,f53]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f133,plain,
( spl11_12
| spl11_2 ),
inference(avatar_split_clause,[],[f77,f84,f130]) ).
fof(f77,plain,
( sk_c6 = sF8
| sk_c3 = sF6 ),
inference(definition_folding,[],[f25,f51,f48]) ).
fof(f25,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f128,plain,
( spl11_2
| spl11_11 ),
inference(avatar_split_clause,[],[f52,f124,f84]) ).
fof(f52,plain,
( sk_c8 = sF1
| sk_c6 = sF8 ),
inference(definition_folding,[],[f30,f38,f51]) ).
fof(f30,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f122,plain,
( spl11_6
| spl11_5 ),
inference(avatar_split_clause,[],[f42,f98,f102]) ).
fof(f42,plain,
( sk_c6 = sF3
| sk_c8 = sF2 ),
inference(definition_folding,[],[f4,f41,f40]) ).
fof(f4,axiom,
( sk_c8 = multiply(sk_c7,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f121,plain,
( spl11_9
| spl11_10 ),
inference(avatar_split_clause,[],[f76,f118,f113]) ).
fof(f76,plain,
( sk_c8 = sF5
| sk_c5 = sF0 ),
inference(definition_folding,[],[f12,f46,f37]) ).
fof(f12,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f116,plain,
( spl11_1
| spl11_9 ),
inference(avatar_split_clause,[],[f44,f113,f80]) ).
fof(f44,plain,
( sk_c5 = sF0
| sk_c7 = sF4 ),
inference(definition_folding,[],[f22,f37,f43]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f111,plain,
( ~ spl11_5
| ~ spl11_6
| spl11_7
| spl11_7
| spl11_8
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f72,f84,f109,f106,f106,f102,f98]) ).
fof(f72,plain,
! [X3,X7,X5] :
( sk_c6 != sF8
| sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != sF2
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X7)
| sk_c6 != sF3 ),
inference(definition_folding,[],[f36,f51,f41,f40]) ).
fof(f36,plain,
! [X3,X7,X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sk_c8 != multiply(sk_c7,sk_c6)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c6 != inverse(sk_c8)
| sk_c8 != inverse(X7) ),
inference(equality_resolution,[],[f35]) ).
fof(f35,plain,
! [X3,X6,X7,X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != multiply(X3,sk_c7)
| multiply(X7,sk_c8) != X6
| sk_c7 != inverse(X3)
| sk_c8 != multiply(sk_c7,sk_c6)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(sk_c8,X6)
| sk_c6 != inverse(sk_c8)
| sk_c8 != inverse(X7) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,X4)
| sk_c8 != multiply(X3,sk_c7)
| multiply(X5,sk_c8) != X4
| multiply(X7,sk_c8) != X6
| sk_c7 != inverse(X3)
| sk_c8 != multiply(sk_c7,sk_c6)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(sk_c8,X6)
| sk_c6 != inverse(sk_c8)
| sk_c8 != inverse(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f96,plain,
( spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f55,f93,f89]) ).
fof(f55,plain,
( sk_c7 = sF10
| sk_c7 = sF9 ),
inference(definition_folding,[],[f16,f54,f53]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP328-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:45:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (12154)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.50 % (12146)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.50 % (12132)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.51 % (12143)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.51 % (12138)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.52 % (12144)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.52 % (12134)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.52 % (12136)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.52 % (12134)Instruction limit reached!
% 0.19/0.52 % (12134)------------------------------
% 0.19/0.52 % (12134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (12134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (12134)Termination reason: Unknown
% 0.19/0.52 % (12134)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (12134)Memory used [KB]: 5884
% 0.19/0.52 % (12134)Time elapsed: 0.126 s
% 0.19/0.52 % (12134)Instructions burned: 5 (million)
% 0.19/0.52 % (12134)------------------------------
% 0.19/0.52 % (12134)------------------------------
% 0.19/0.53 % (12157)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.53 % (12137)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (12133)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.53 % (12156)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.53 % (12135)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.53 % (12145)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (12135)Refutation not found, incomplete strategy% (12135)------------------------------
% 0.19/0.53 % (12135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (12135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (12135)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (12135)Memory used [KB]: 5884
% 0.19/0.53 % (12135)Time elapsed: 0.124 s
% 0.19/0.53 % (12135)Instructions burned: 4 (million)
% 0.19/0.53 % (12135)------------------------------
% 0.19/0.53 % (12135)------------------------------
% 0.19/0.53 % (12144)Instruction limit reached!
% 0.19/0.53 % (12144)------------------------------
% 0.19/0.53 % (12144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (12144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (12144)Termination reason: Unknown
% 0.19/0.53 % (12144)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (12144)Memory used [KB]: 5884
% 0.19/0.53 % (12144)Time elapsed: 0.117 s
% 0.19/0.53 % (12144)Instructions burned: 5 (million)
% 0.19/0.53 % (12144)------------------------------
% 0.19/0.53 % (12144)------------------------------
% 0.19/0.53 % (12145)Instruction limit reached!
% 0.19/0.53 % (12145)------------------------------
% 0.19/0.53 % (12145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (12145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (12145)Termination reason: Unknown
% 0.19/0.53 % (12145)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (12145)Memory used [KB]: 5884
% 0.19/0.53 % (12145)Time elapsed: 0.004 s
% 0.19/0.53 % (12145)Instructions burned: 4 (million)
% 0.19/0.53 % (12145)------------------------------
% 0.19/0.53 % (12145)------------------------------
% 0.19/0.53 % (12159)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.53 % (12148)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (12160)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.53 % (12147)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.53 % (12148)Instruction limit reached!
% 0.19/0.53 % (12148)------------------------------
% 0.19/0.53 % (12148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (12148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (12148)Termination reason: Unknown
% 0.19/0.53 % (12148)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (12148)Memory used [KB]: 1279
% 0.19/0.53 % (12148)Time elapsed: 0.002 s
% 0.19/0.53 % (12148)Instructions burned: 2 (million)
% 0.19/0.53 % (12148)------------------------------
% 0.19/0.53 % (12148)------------------------------
% 0.19/0.53 % (12149)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.54 % (12158)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.54 % (12151)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (12153)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.54 % (12158)Refutation not found, incomplete strategy% (12158)------------------------------
% 0.19/0.54 % (12158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (12158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (12158)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (12158)Memory used [KB]: 5884
% 0.19/0.54 % (12158)Time elapsed: 0.143 s
% 0.19/0.54 % (12158)Instructions burned: 5 (million)
% 0.19/0.54 % (12158)------------------------------
% 0.19/0.54 % (12158)------------------------------
% 0.19/0.54 % (12141)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (12150)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.54 % (12142)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.54 % (12152)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.54 % (12140)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (12140)Instruction limit reached!
% 0.19/0.54 % (12140)------------------------------
% 0.19/0.54 % (12140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (12140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (12140)Termination reason: Unknown
% 0.19/0.54 % (12140)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (12140)Memory used [KB]: 5884
% 0.19/0.54 % (12140)Time elapsed: 0.002 s
% 0.19/0.54 % (12140)Instructions burned: 3 (million)
% 0.19/0.54 % (12140)------------------------------
% 0.19/0.54 % (12140)------------------------------
% 0.19/0.54 % (12155)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.54 % (12142)Instruction limit reached!
% 0.19/0.54 % (12142)------------------------------
% 0.19/0.54 % (12142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (12152)Instruction limit reached!
% 0.19/0.54 % (12152)------------------------------
% 0.19/0.54 % (12152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (12152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (12142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (12152)Termination reason: Unknown
% 0.19/0.54 % (12142)Termination reason: Unknown
% 0.19/0.54 % (12152)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (12142)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (12152)Memory used [KB]: 1407
% 0.19/0.54 % (12152)Time elapsed: 0.149 s
% 0.19/0.54 % (12142)Memory used [KB]: 6012
% 0.19/0.54 % (12152)Instructions burned: 7 (million)
% 0.19/0.54 % (12142)Time elapsed: 0.140 s
% 0.19/0.54 % (12152)------------------------------
% 0.19/0.54 % (12152)------------------------------
% 0.19/0.54 % (12142)Instructions burned: 7 (million)
% 0.19/0.54 % (12142)------------------------------
% 0.19/0.54 % (12142)------------------------------
% 0.19/0.54 % (12161)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (12155)Refutation not found, incomplete strategy% (12155)------------------------------
% 0.19/0.54 % (12155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (12155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (12155)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (12155)Memory used [KB]: 5884
% 0.19/0.54 % (12155)Time elapsed: 0.146 s
% 0.19/0.54 % (12155)Instructions burned: 4 (million)
% 0.19/0.54 % (12155)------------------------------
% 0.19/0.54 % (12155)------------------------------
% 0.19/0.54 % (12146)Instruction limit reached!
% 0.19/0.54 % (12146)------------------------------
% 0.19/0.54 % (12146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (12151)Instruction limit reached!
% 0.19/0.55 % (12151)------------------------------
% 0.19/0.55 % (12151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (12146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (12146)Termination reason: Unknown
% 0.19/0.55 % (12146)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (12146)Memory used [KB]: 1663
% 0.19/0.55 % (12146)Time elapsed: 0.090 s
% 0.19/0.55 % (12146)Instructions burned: 30 (million)
% 0.19/0.55 % (12146)------------------------------
% 0.19/0.55 % (12146)------------------------------
% 0.19/0.55 % (12139)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (12147)Instruction limit reached!
% 0.19/0.55 % (12147)------------------------------
% 0.19/0.55 % (12147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (12147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (12147)Termination reason: Unknown
% 0.19/0.55 % (12147)Termination phase: Finite model building preprocessing
% 0.19/0.55
% 0.19/0.55 % (12147)Memory used [KB]: 6012
% 0.19/0.55 % (12147)Time elapsed: 0.004 s
% 0.19/0.55 % (12147)Instructions burned: 6 (million)
% 0.19/0.55 % (12147)------------------------------
% 0.19/0.55 % (12147)------------------------------
% 0.19/0.55 % (12143)Instruction limit reached!
% 0.19/0.55 % (12143)------------------------------
% 0.19/0.55 % (12143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (12143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (12143)Termination reason: Unknown
% 0.19/0.55 % (12143)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (12143)Memory used [KB]: 6396
% 0.19/0.55 % (12143)Time elapsed: 0.160 s
% 0.19/0.55 % (12143)Instructions burned: 25 (million)
% 0.19/0.55 % (12143)------------------------------
% 0.19/0.55 % (12143)------------------------------
% 0.19/0.56 % (12149)Instruction limit reached!
% 0.19/0.56 % (12149)------------------------------
% 0.19/0.56 % (12149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (12149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (12149)Termination reason: Unknown
% 0.19/0.56 % (12149)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (12149)Memory used [KB]: 6012
% 0.19/0.56 % (12149)Time elapsed: 0.142 s
% 0.19/0.56 % (12149)Instructions burned: 9 (million)
% 0.19/0.56 % (12149)------------------------------
% 0.19/0.56 % (12149)------------------------------
% 0.19/0.56 % (12160)Instruction limit reached!
% 0.19/0.56 % (12160)------------------------------
% 0.19/0.56 % (12160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (12160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (12160)Termination reason: Unknown
% 0.19/0.56 % (12160)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (12160)Memory used [KB]: 6268
% 0.19/0.56 % (12160)Time elapsed: 0.148 s
% 0.19/0.56 % (12160)Instructions burned: 21 (million)
% 0.19/0.56 % (12160)------------------------------
% 0.19/0.56 % (12160)------------------------------
% 0.19/0.56 % (12150)Refutation not found, incomplete strategy% (12150)------------------------------
% 0.19/0.56 % (12150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (12151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (12151)Termination reason: Unknown
% 0.19/0.56 % (12151)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (12151)Memory used [KB]: 6012
% 0.19/0.56 % (12151)Time elapsed: 0.125 s
% 0.19/0.56 % (12151)Instructions burned: 7 (million)
% 0.19/0.56 % (12151)------------------------------
% 0.19/0.56 % (12151)------------------------------
% 0.19/0.57 % (12136)Instruction limit reached!
% 0.19/0.57 % (12136)------------------------------
% 0.19/0.57 % (12136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (12136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (12136)Termination reason: Unknown
% 0.19/0.57 % (12136)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (12136)Memory used [KB]: 6524
% 0.19/0.57 % (12136)Time elapsed: 0.169 s
% 0.19/0.57 % (12136)Instructions burned: 34 (million)
% 0.19/0.57 % (12136)------------------------------
% 0.19/0.57 % (12136)------------------------------
% 0.19/0.57 % (12150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (12150)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.57
% 0.19/0.57 % (12150)Memory used [KB]: 10618
% 0.19/0.57 % (12150)Time elapsed: 0.174 s
% 0.19/0.57 % (12150)Instructions burned: 17 (million)
% 0.19/0.57 % (12150)------------------------------
% 0.19/0.57 % (12150)------------------------------
% 0.19/0.57 % (12133)Instruction limit reached!
% 0.19/0.57 % (12133)------------------------------
% 0.19/0.57 % (12133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (12133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (12133)Termination reason: Unknown
% 0.19/0.57 % (12133)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (12133)Memory used [KB]: 1663
% 0.19/0.57 % (12133)Time elapsed: 0.169 s
% 0.19/0.57 % (12133)Instructions burned: 42 (million)
% 0.19/0.57 % (12133)------------------------------
% 0.19/0.57 % (12133)------------------------------
% 0.19/0.57 % (12137)Instruction limit reached!
% 0.19/0.57 % (12137)------------------------------
% 0.19/0.57 % (12137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (12137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (12137)Termination reason: Unknown
% 0.19/0.57 % (12137)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (12137)Memory used [KB]: 6140
% 0.19/0.57 % (12137)Time elapsed: 0.169 s
% 0.19/0.57 % (12137)Instructions burned: 25 (million)
% 0.19/0.57 % (12137)------------------------------
% 0.19/0.57 % (12137)------------------------------
% 0.19/0.58 % (12138)Instruction limit reached!
% 0.19/0.58 % (12138)------------------------------
% 0.19/0.58 % (12138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.58 % (12138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.58 % (12138)Termination reason: Unknown
% 1.81/0.58 % (12138)Termination phase: Saturation
% 1.81/0.58
% 1.81/0.58 % (12138)Memory used [KB]: 1791
% 1.81/0.58 % (12138)Time elapsed: 0.126 s
% 1.81/0.58 % (12138)Instructions burned: 49 (million)
% 1.81/0.58 % (12138)------------------------------
% 1.81/0.58 % (12138)------------------------------
% 1.81/0.59 % (12132)First to succeed.
% 1.81/0.59 % (12132)Refutation found. Thanks to Tanya!
% 1.81/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.81/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.81/0.59 % (12132)------------------------------
% 1.81/0.59 % (12132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (12132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (12132)Termination reason: Refutation
% 1.81/0.59
% 1.81/0.59 % (12132)Memory used [KB]: 6396
% 1.81/0.59 % (12132)Time elapsed: 0.188 s
% 1.81/0.59 % (12132)Instructions burned: 39 (million)
% 1.81/0.59 % (12132)------------------------------
% 1.81/0.59 % (12132)------------------------------
% 1.81/0.59 % (12131)Success in time 0.23 s
%------------------------------------------------------------------------------