TSTP Solution File: GRP260-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP260-1 : 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 : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:04 EDT 2022
% Result : Unsatisfiable 2.70s 0.78s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 82
% Syntax : Number of formulae : 388 ( 30 unt; 0 def)
% Number of atoms : 1454 ( 524 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 2039 ( 973 ~;1044 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 27 con; 0-2 aty)
% Number of variables : 108 ( 108 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1333,plain,
$false,
inference(avatar_sat_refutation,[],[f140,f149,f150,f159,f164,f165,f166,f171,f176,f177,f182,f183,f184,f189,f194,f199,f200,f201,f202,f203,f213,f214,f218,f219,f221,f222,f223,f224,f225,f226,f228,f230,f232,f233,f234,f235,f237,f238,f239,f240,f241,f242,f466,f515,f532,f620,f640,f648,f692,f701,f706,f744,f882,f926,f997,f1010,f1249,f1327]) ).
fof(f1327,plain,
( ~ spl15_12
| spl15_26
| ~ spl15_52 ),
inference(avatar_contradiction_clause,[],[f1326]) ).
fof(f1326,plain,
( $false
| ~ spl15_12
| spl15_26
| ~ spl15_52 ),
inference(subsumption_resolution,[],[f1325,f571]) ).
fof(f571,plain,
( identity != sk_c1
| spl15_26 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f569,plain,
( spl15_26
<=> identity = sk_c1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).
fof(f1325,plain,
( identity = sk_c1
| ~ spl15_12
| ~ spl15_52 ),
inference(forward_demodulation,[],[f1324,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1324,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl15_12
| ~ spl15_52 ),
inference(forward_demodulation,[],[f628,f827]) ).
fof(f827,plain,
( identity = sk_c11
| ~ spl15_52 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f826,plain,
( spl15_52
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_52])]) ).
fof(f628,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl15_12 ),
inference(backward_demodulation,[],[f315,f181]) ).
fof(f181,plain,
( sk_c11 = sF2
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl15_12
<=> sk_c11 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f315,plain,
sk_c1 = multiply(inverse(sF2),identity),
inference(superposition,[],[f271,f253]) ).
fof(f253,plain,
identity = multiply(sF2,sk_c1),
inference(superposition,[],[f2,f60]) ).
fof(f60,plain,
inverse(sk_c1) = sF2,
introduced(function_definition,[]) ).
fof(f271,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f262,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f262,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,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(f1249,plain,
( ~ spl15_12
| ~ spl15_18
| ~ spl15_26
| ~ spl15_33
| ~ spl15_52 ),
inference(avatar_contradiction_clause,[],[f1248]) ).
fof(f1248,plain,
( $false
| ~ spl15_12
| ~ spl15_18
| ~ spl15_26
| ~ spl15_33
| ~ spl15_52 ),
inference(subsumption_resolution,[],[f1232,f1055]) ).
fof(f1055,plain,
( identity = inverse(identity)
| ~ spl15_12
| ~ spl15_26
| ~ spl15_52 ),
inference(forward_demodulation,[],[f1002,f827]) ).
fof(f1002,plain,
( sk_c11 = inverse(identity)
| ~ spl15_12
| ~ spl15_26 ),
inference(backward_demodulation,[],[f631,f570]) ).
fof(f570,plain,
( identity = sk_c1
| ~ spl15_26 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f631,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl15_12 ),
inference(backward_demodulation,[],[f60,f181]) ).
fof(f1232,plain,
( identity != inverse(identity)
| ~ spl15_12
| ~ spl15_18
| ~ spl15_26
| ~ spl15_33
| ~ spl15_52 ),
inference(trivial_inequality_removal,[],[f1225]) ).
fof(f1225,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl15_12
| ~ spl15_18
| ~ spl15_26
| ~ spl15_33
| ~ spl15_52 ),
inference(superposition,[],[f1095,f1]) ).
fof(f1095,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl15_12
| ~ spl15_18
| ~ spl15_26
| ~ spl15_33
| ~ spl15_52 ),
inference(subsumption_resolution,[],[f1094,f2]) ).
fof(f1094,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(X0,identity)
| identity != multiply(inverse(identity),identity) )
| ~ spl15_12
| ~ spl15_18
| ~ spl15_26
| ~ spl15_33
| ~ spl15_52 ),
inference(forward_demodulation,[],[f1093,f827]) ).
fof(f1093,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(X0,identity)
| sk_c11 != multiply(inverse(sk_c11),identity) )
| ~ spl15_12
| ~ spl15_18
| ~ spl15_26
| ~ spl15_33
| ~ spl15_52 ),
inference(forward_demodulation,[],[f1092,f1055]) ).
fof(f1092,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| inverse(X0) != inverse(identity)
| sk_c11 != multiply(inverse(sk_c11),identity) )
| ~ spl15_12
| ~ spl15_18
| ~ spl15_26
| ~ spl15_33
| ~ spl15_52 ),
inference(forward_demodulation,[],[f1091,f827]) ).
fof(f1091,plain,
( ! [X0] :
( inverse(X0) != inverse(sk_c11)
| sk_c11 != multiply(inverse(sk_c11),identity)
| identity != multiply(X0,identity) )
| ~ spl15_12
| ~ spl15_18
| ~ spl15_26
| ~ spl15_33
| ~ spl15_52 ),
inference(forward_demodulation,[],[f1090,f1055]) ).
fof(f1090,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| sk_c11 != multiply(inverse(sk_c11),identity)
| inverse(X0) != inverse(sk_c11) )
| ~ spl15_12
| ~ spl15_18
| ~ spl15_26
| ~ spl15_33
| ~ spl15_52 ),
inference(subsumption_resolution,[],[f1089,f1]) ).
fof(f1089,plain,
( ! [X0] :
( inverse(X0) != inverse(sk_c11)
| identity != multiply(X0,inverse(identity))
| identity != multiply(identity,identity)
| sk_c11 != multiply(inverse(sk_c11),identity) )
| ~ spl15_12
| ~ spl15_18
| ~ spl15_26
| ~ spl15_33
| ~ spl15_52 ),
inference(forward_demodulation,[],[f1088,f570]) ).
fof(f1088,plain,
( ! [X0] :
( identity != multiply(sk_c1,identity)
| identity != multiply(X0,inverse(identity))
| sk_c11 != multiply(inverse(sk_c11),identity)
| inverse(X0) != inverse(sk_c11) )
| ~ spl15_12
| ~ spl15_18
| ~ spl15_26
| ~ spl15_33
| ~ spl15_52 ),
inference(forward_demodulation,[],[f1087,f1055]) ).
fof(f1087,plain,
( ! [X0] :
( identity != multiply(sk_c1,inverse(identity))
| inverse(X0) != inverse(sk_c11)
| sk_c11 != multiply(inverse(sk_c11),identity)
| identity != multiply(X0,inverse(identity)) )
| ~ spl15_12
| ~ spl15_18
| ~ spl15_33
| ~ spl15_52 ),
inference(forward_demodulation,[],[f1086,f1014]) ).
fof(f1014,plain,
( identity = sk_c10
| ~ spl15_33
| ~ spl15_52 ),
inference(backward_demodulation,[],[f695,f827]) ).
fof(f695,plain,
( sk_c11 = sk_c10
| ~ spl15_33 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f694,plain,
( spl15_33
<=> sk_c11 = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).
fof(f1086,plain,
( ! [X0] :
( sk_c11 != multiply(inverse(sk_c11),sk_c10)
| inverse(X0) != inverse(sk_c11)
| identity != multiply(sk_c1,inverse(identity))
| identity != multiply(X0,inverse(identity)) )
| ~ spl15_12
| ~ spl15_18
| ~ spl15_52 ),
inference(forward_demodulation,[],[f1085,f827]) ).
fof(f1085,plain,
( ! [X0] :
( sk_c11 != multiply(X0,inverse(sk_c11))
| sk_c11 != multiply(inverse(sk_c11),sk_c10)
| identity != multiply(sk_c1,inverse(identity))
| inverse(X0) != inverse(sk_c11) )
| ~ spl15_12
| ~ spl15_18
| ~ spl15_52 ),
inference(forward_demodulation,[],[f761,f827]) ).
fof(f761,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c1,inverse(sk_c11))
| sk_c11 != multiply(inverse(sk_c11),sk_c10)
| sk_c11 != multiply(X0,inverse(sk_c11))
| inverse(X0) != inverse(sk_c11) )
| ~ spl15_12
| ~ spl15_18 ),
inference(superposition,[],[f212,f631]) ).
fof(f212,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f211,plain,
( spl15_18
<=> ! [X9,X7] :
( sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(X7,inverse(inverse(X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f1010,plain,
( ~ spl15_12
| ~ spl15_26
| spl15_34 ),
inference(avatar_contradiction_clause,[],[f1009]) ).
fof(f1009,plain,
( $false
| ~ spl15_12
| ~ spl15_26
| spl15_34 ),
inference(subsumption_resolution,[],[f1002,f700]) ).
fof(f700,plain,
( sk_c11 != inverse(identity)
| spl15_34 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f698,plain,
( spl15_34
<=> sk_c11 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).
fof(f997,plain,
( spl15_52
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_8
| ~ spl15_12
| ~ spl15_33 ),
inference(avatar_split_clause,[],[f920,f694,f179,f156,f146,f137,f124,f826]) ).
fof(f124,plain,
( spl15_1
<=> sk_c9 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f137,plain,
( spl15_4
<=> sk_c10 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f146,plain,
( spl15_6
<=> sk_c10 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f156,plain,
( spl15_8
<=> sk_c10 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f920,plain,
( identity = sk_c11
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_8
| ~ spl15_12
| ~ spl15_33 ),
inference(backward_demodulation,[],[f908,f916]) ).
fof(f916,plain,
( ! [X8] : multiply(sk_c11,X8) = X8
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_8
| ~ spl15_12
| ~ spl15_33 ),
inference(backward_demodulation,[],[f886,f911]) ).
fof(f911,plain,
( ! [X15] : multiply(sk_c1,multiply(sk_c11,X15)) = X15
| ~ spl15_1
| ~ spl15_6
| ~ spl15_8
| ~ spl15_12
| ~ spl15_33 ),
inference(backward_demodulation,[],[f884,f910]) ).
fof(f910,plain,
( sk_c1 = sk_c2
| ~ spl15_8
| ~ spl15_12
| ~ spl15_33 ),
inference(forward_demodulation,[],[f897,f628]) ).
fof(f897,plain,
( sk_c2 = multiply(inverse(sk_c11),identity)
| ~ spl15_8
| ~ spl15_33 ),
inference(backward_demodulation,[],[f622,f695]) ).
fof(f622,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl15_8 ),
inference(backward_demodulation,[],[f316,f158]) ).
fof(f158,plain,
( sk_c10 = sF10
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f316,plain,
sk_c2 = multiply(inverse(sF10),identity),
inference(superposition,[],[f271,f259]) ).
fof(f259,plain,
identity = multiply(sF10,sk_c2),
inference(superposition,[],[f2,f75]) ).
fof(f75,plain,
inverse(sk_c2) = sF10,
introduced(function_definition,[]) ).
fof(f884,plain,
( ! [X15] : multiply(sk_c2,multiply(sk_c11,X15)) = X15
| ~ spl15_1
| ~ spl15_6
| ~ spl15_8 ),
inference(backward_demodulation,[],[f879,f883]) ).
fof(f883,plain,
( ! [X11] : multiply(sk_c11,X11) = multiply(sk_c10,X11)
| ~ spl15_1
| ~ spl15_6
| ~ spl15_8 ),
inference(forward_demodulation,[],[f874,f1]) ).
fof(f874,plain,
( ! [X11] : multiply(sk_c10,X11) = multiply(identity,multiply(sk_c11,X11))
| ~ spl15_1
| ~ spl15_6
| ~ spl15_8 ),
inference(backward_demodulation,[],[f650,f868]) ).
fof(f868,plain,
( identity = sk_c9
| ~ spl15_1
| ~ spl15_8 ),
inference(forward_demodulation,[],[f866,f2]) ).
fof(f866,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl15_1
| ~ spl15_8 ),
inference(superposition,[],[f271,f653]) ).
fof(f653,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl15_1
| ~ spl15_8 ),
inference(backward_demodulation,[],[f632,f126]) ).
fof(f126,plain,
( sk_c9 = sF8
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f632,plain,
( sk_c10 = multiply(sk_c10,sF8)
| ~ spl15_8 ),
inference(forward_demodulation,[],[f325,f158]) ).
fof(f325,plain,
sk_c10 = multiply(sF10,sF8),
inference(forward_demodulation,[],[f314,f75]) ).
fof(f314,plain,
sk_c10 = multiply(inverse(sk_c2),sF8),
inference(superposition,[],[f271,f72]) ).
fof(f72,plain,
multiply(sk_c2,sk_c10) = sF8,
introduced(function_definition,[]) ).
fof(f650,plain,
( ! [X11] : multiply(sk_c10,X11) = multiply(sk_c9,multiply(sk_c11,X11))
| ~ spl15_6 ),
inference(forward_demodulation,[],[f266,f148]) ).
fof(f148,plain,
( sk_c10 = sF0
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f266,plain,
! [X11] : multiply(sk_c9,multiply(sk_c11,X11)) = multiply(sF0,X11),
inference(superposition,[],[f3,f57]) ).
fof(f57,plain,
multiply(sk_c9,sk_c11) = sF0,
introduced(function_definition,[]) ).
fof(f879,plain,
( ! [X15] : multiply(sk_c2,multiply(sk_c10,X15)) = X15
| ~ spl15_1
| ~ spl15_8 ),
inference(forward_demodulation,[],[f876,f1]) ).
fof(f876,plain,
( ! [X15] : multiply(sk_c2,multiply(sk_c10,X15)) = multiply(identity,X15)
| ~ spl15_1
| ~ spl15_8 ),
inference(backward_demodulation,[],[f712,f868]) ).
fof(f712,plain,
( ! [X15] : multiply(sk_c9,X15) = multiply(sk_c2,multiply(sk_c10,X15))
| ~ spl15_1 ),
inference(forward_demodulation,[],[f270,f126]) ).
fof(f270,plain,
! [X15] : multiply(sk_c2,multiply(sk_c10,X15)) = multiply(sF8,X15),
inference(superposition,[],[f3,f72]) ).
fof(f886,plain,
( ! [X8] : multiply(sk_c1,multiply(sk_c11,X8)) = multiply(sk_c11,X8)
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_8 ),
inference(backward_demodulation,[],[f703,f883]) ).
fof(f703,plain,
( ! [X8] : multiply(sk_c10,X8) = multiply(sk_c1,multiply(sk_c11,X8))
| ~ spl15_4 ),
inference(forward_demodulation,[],[f263,f139]) ).
fof(f139,plain,
( sk_c10 = sF12
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f263,plain,
! [X8] : multiply(sF12,X8) = multiply(sk_c1,multiply(sk_c11,X8)),
inference(superposition,[],[f3,f82]) ).
fof(f82,plain,
multiply(sk_c1,sk_c11) = sF12,
introduced(function_definition,[]) ).
fof(f908,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl15_1
| ~ spl15_8
| ~ spl15_33 ),
inference(backward_demodulation,[],[f875,f695]) ).
fof(f875,plain,
( sk_c10 = multiply(sk_c10,identity)
| ~ spl15_1
| ~ spl15_8 ),
inference(backward_demodulation,[],[f653,f868]) ).
fof(f926,plain,
( spl15_26
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_8
| ~ spl15_9
| ~ spl15_12
| ~ spl15_33 ),
inference(avatar_split_clause,[],[f925,f694,f179,f161,f156,f146,f137,f124,f569]) ).
fof(f161,plain,
( spl15_9
<=> sk_c11 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f925,plain,
( identity = sk_c1
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_8
| ~ spl15_9
| ~ spl15_12
| ~ spl15_33 ),
inference(backward_demodulation,[],[f628,f923]) ).
fof(f923,plain,
( ! [X7] : multiply(inverse(sk_c11),X7) = X7
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_8
| ~ spl15_9
| ~ spl15_12
| ~ spl15_33 ),
inference(backward_demodulation,[],[f654,f917]) ).
fof(f917,plain,
( ! [X15] : multiply(sk_c1,X15) = X15
| ~ spl15_1
| ~ spl15_4
| ~ spl15_6
| ~ spl15_8
| ~ spl15_12
| ~ spl15_33 ),
inference(backward_demodulation,[],[f911,f916]) ).
fof(f654,plain,
( ! [X7] : multiply(sk_c1,X7) = multiply(inverse(sk_c11),X7)
| ~ spl15_9
| ~ spl15_12 ),
inference(forward_demodulation,[],[f303,f642]) ).
fof(f642,plain,
( sk_c1 = sk_c3
| ~ spl15_9
| ~ spl15_12 ),
inference(forward_demodulation,[],[f302,f628]) ).
fof(f302,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl15_9 ),
inference(superposition,[],[f271,f254]) ).
fof(f254,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl15_9 ),
inference(superposition,[],[f2,f246]) ).
fof(f246,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl15_9 ),
inference(backward_demodulation,[],[f87,f163]) ).
fof(f163,plain,
( sk_c11 = sF13
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f87,plain,
inverse(sk_c3) = sF13,
introduced(function_definition,[]) ).
fof(f303,plain,
( ! [X7] : multiply(sk_c3,X7) = multiply(inverse(sk_c11),X7)
| ~ spl15_9 ),
inference(superposition,[],[f271,f274]) ).
fof(f274,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl15_9 ),
inference(forward_demodulation,[],[f273,f1]) ).
fof(f273,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl15_9 ),
inference(superposition,[],[f3,f254]) ).
fof(f882,plain,
( spl15_33
| ~ spl15_1
| ~ spl15_6
| ~ spl15_8 ),
inference(avatar_split_clause,[],[f881,f156,f146,f124,f694]) ).
fof(f881,plain,
( sk_c11 = sk_c10
| ~ spl15_1
| ~ spl15_6
| ~ spl15_8 ),
inference(forward_demodulation,[],[f872,f1]) ).
fof(f872,plain,
( sk_c10 = multiply(identity,sk_c11)
| ~ spl15_1
| ~ spl15_6
| ~ spl15_8 ),
inference(backward_demodulation,[],[f626,f868]) ).
fof(f626,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| ~ spl15_6 ),
inference(forward_demodulation,[],[f57,f148]) ).
fof(f744,plain,
( ~ spl15_1
| ~ spl15_8
| ~ spl15_17 ),
inference(avatar_contradiction_clause,[],[f743]) ).
fof(f743,plain,
( $false
| ~ spl15_1
| ~ spl15_8
| ~ spl15_17 ),
inference(subsumption_resolution,[],[f733,f625]) ).
fof(f625,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl15_8 ),
inference(backward_demodulation,[],[f75,f158]) ).
fof(f733,plain,
( sk_c10 != inverse(sk_c2)
| ~ spl15_1
| ~ spl15_17 ),
inference(trivial_inequality_removal,[],[f732]) ).
fof(f732,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c2)
| ~ spl15_1
| ~ spl15_17 ),
inference(superposition,[],[f209,f713]) ).
fof(f713,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl15_1 ),
inference(forward_demodulation,[],[f72,f126]) ).
fof(f209,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c10)
| sk_c10 != inverse(X4) )
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f208,plain,
( spl15_17
<=> ! [X4] :
( sk_c9 != multiply(X4,sk_c10)
| sk_c10 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f706,plain,
( spl15_14
| ~ spl15_4
| ~ spl15_9
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f705,f179,f161,f137,f191]) ).
fof(f191,plain,
( spl15_14
<=> sk_c10 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f705,plain,
( sk_c10 = sF9
| ~ spl15_4
| ~ spl15_9
| ~ spl15_12 ),
inference(forward_demodulation,[],[f704,f702]) ).
fof(f702,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl15_4 ),
inference(forward_demodulation,[],[f82,f139]) ).
fof(f704,plain,
( multiply(sk_c1,sk_c11) = sF9
| ~ spl15_9
| ~ spl15_12 ),
inference(forward_demodulation,[],[f73,f642]) ).
fof(f73,plain,
multiply(sk_c3,sk_c11) = sF9,
introduced(function_definition,[]) ).
fof(f701,plain,
( ~ spl15_33
| ~ spl15_34
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f684,f205,f698,f694]) ).
fof(f205,plain,
( spl15_16
<=> ! [X3] :
( sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f684,plain,
( sk_c11 != inverse(identity)
| sk_c11 != sk_c10
| ~ spl15_16 ),
inference(superposition,[],[f206,f1]) ).
fof(f206,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) )
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f692,plain,
( ~ spl15_9
| ~ spl15_12
| ~ spl15_14
| ~ spl15_16 ),
inference(avatar_contradiction_clause,[],[f691]) ).
fof(f691,plain,
( $false
| ~ spl15_9
| ~ spl15_12
| ~ spl15_14
| ~ spl15_16 ),
inference(subsumption_resolution,[],[f689,f631]) ).
fof(f689,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl15_9
| ~ spl15_12
| ~ spl15_14
| ~ spl15_16 ),
inference(trivial_inequality_removal,[],[f687]) ).
fof(f687,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c1)
| ~ spl15_9
| ~ spl15_12
| ~ spl15_14
| ~ spl15_16 ),
inference(superposition,[],[f206,f644]) ).
fof(f644,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl15_9
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f252,f642]) ).
fof(f252,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f73,f193]) ).
fof(f193,plain,
( sk_c10 = sF9
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f648,plain,
( spl15_4
| ~ spl15_9
| ~ spl15_12
| ~ spl15_14 ),
inference(avatar_split_clause,[],[f647,f191,f179,f161,f137]) ).
fof(f647,plain,
( sk_c10 = sF12
| ~ spl15_9
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f82,f644]) ).
fof(f640,plain,
( spl15_1
| ~ spl15_8
| ~ spl15_10
| ~ spl15_13 ),
inference(avatar_split_clause,[],[f639,f186,f168,f156,f124]) ).
fof(f168,plain,
( spl15_10
<=> sk_c10 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f186,plain,
( spl15_13
<=> sk_c9 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f639,plain,
( sk_c9 = sF8
| ~ spl15_8
| ~ spl15_10
| ~ spl15_13 ),
inference(forward_demodulation,[],[f634,f244]) ).
fof(f244,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl15_13 ),
inference(backward_demodulation,[],[f68,f188]) ).
fof(f188,plain,
( sk_c9 = sF6
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f68,plain,
multiply(sk_c4,sk_c10) = sF6,
introduced(function_definition,[]) ).
fof(f634,plain,
( multiply(sk_c4,sk_c10) = sF8
| ~ spl15_8
| ~ spl15_10 ),
inference(backward_demodulation,[],[f72,f633]) ).
fof(f633,plain,
( sk_c4 = sk_c2
| ~ spl15_8
| ~ spl15_10 ),
inference(backward_demodulation,[],[f622,f304]) ).
fof(f304,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl15_10 ),
inference(superposition,[],[f271,f255]) ).
fof(f255,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl15_10 ),
inference(superposition,[],[f2,f251]) ).
fof(f251,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl15_10 ),
inference(backward_demodulation,[],[f65,f170]) ).
fof(f170,plain,
( sk_c10 = sF5
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f65,plain,
inverse(sk_c4) = sF5,
introduced(function_definition,[]) ).
fof(f620,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(avatar_contradiction_clause,[],[f619]) ).
fof(f619,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(subsumption_resolution,[],[f618,f384]) ).
fof(f384,plain,
( identity = inverse(identity)
| ~ spl15_7
| ~ spl15_9
| ~ spl15_15 ),
inference(backward_demodulation,[],[f356,f382]) ).
fof(f382,plain,
( identity = sk_c3
| ~ spl15_7
| ~ spl15_9
| ~ spl15_15 ),
inference(forward_demodulation,[],[f367,f2]) ).
fof(f367,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl15_7
| ~ spl15_9
| ~ spl15_15 ),
inference(backward_demodulation,[],[f302,f349]) ).
fof(f349,plain,
( identity = sk_c11
| ~ spl15_7
| ~ spl15_15 ),
inference(forward_demodulation,[],[f347,f2]) ).
fof(f347,plain,
( sk_c11 = multiply(inverse(sk_c8),sk_c8)
| ~ spl15_7
| ~ spl15_15 ),
inference(superposition,[],[f271,f321]) ).
fof(f321,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl15_7
| ~ spl15_15 ),
inference(forward_demodulation,[],[f308,f250]) ).
fof(f250,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl15_7 ),
inference(backward_demodulation,[],[f92,f154]) ).
fof(f154,plain,
( sk_c8 = sF14
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl15_7
<=> sk_c8 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f92,plain,
inverse(sk_c5) = sF14,
introduced(function_definition,[]) ).
fof(f308,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl15_15 ),
inference(superposition,[],[f271,f243]) ).
fof(f243,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl15_15 ),
inference(backward_demodulation,[],[f79,f198]) ).
fof(f198,plain,
( sk_c11 = sF11
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl15_15
<=> sk_c11 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f79,plain,
multiply(sk_c5,sk_c8) = sF11,
introduced(function_definition,[]) ).
fof(f356,plain,
( identity = inverse(sk_c3)
| ~ spl15_7
| ~ spl15_9
| ~ spl15_15 ),
inference(backward_demodulation,[],[f246,f349]) ).
fof(f618,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(forward_demodulation,[],[f613,f384]) ).
fof(f613,plain,
( identity != inverse(inverse(identity))
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(trivial_inequality_removal,[],[f608]) ).
fof(f608,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(superposition,[],[f546,f2]) ).
fof(f546,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(forward_demodulation,[],[f545,f384]) ).
fof(f545,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(X0,inverse(identity)) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(forward_demodulation,[],[f544,f384]) ).
fof(f544,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(X0,inverse(identity)) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(subsumption_resolution,[],[f543,f1]) ).
fof(f543,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| inverse(X0) != inverse(identity)
| identity != multiply(identity,identity) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(forward_demodulation,[],[f542,f384]) ).
fof(f542,plain,
( ! [X0] :
( identity != multiply(identity,inverse(identity))
| inverse(X0) != inverse(identity)
| identity != multiply(X0,inverse(identity)) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(subsumption_resolution,[],[f536,f2]) ).
fof(f536,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(inverse(identity),identity)
| identity != multiply(X0,inverse(identity))
| identity != multiply(identity,inverse(identity)) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(superposition,[],[f535,f384]) ).
fof(f535,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| identity != multiply(X7,inverse(inverse(X9)))
| identity != multiply(inverse(inverse(X9)),identity)
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(forward_demodulation,[],[f534,f349]) ).
fof(f534,plain,
( ! [X9,X7] :
( sk_c11 != multiply(inverse(inverse(X9)),identity)
| inverse(X7) != inverse(inverse(X9))
| identity != multiply(X7,inverse(inverse(X9)))
| inverse(X9) != multiply(X9,inverse(inverse(X9))) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(forward_demodulation,[],[f533,f425]) ).
fof(f425,plain,
( identity = sk_c10
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f424,f2]) ).
fof(f424,plain,
( sk_c10 = multiply(inverse(identity),identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f370,f416]) ).
fof(f416,plain,
( identity = sk_c8
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f400,f399]) ).
fof(f399,plain,
( identity = sk_c5
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f379,f397]) ).
fof(f397,plain,
( ! [X14] : multiply(sk_c5,X14) = X14
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f395,f393]) ).
fof(f393,plain,
( ! [X13] : multiply(sk_c8,X13) = X13
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f392,f387]) ).
fof(f387,plain,
( ! [X9] : multiply(sk_c10,X9) = X9
| ~ spl15_7
| ~ spl15_9
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f383,f1]) ).
fof(f383,plain,
( ! [X9] : multiply(identity,X9) = multiply(sk_c10,X9)
| ~ spl15_7
| ~ spl15_9
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f381,f382]) ).
fof(f381,plain,
( ! [X9] : multiply(sk_c3,X9) = multiply(sk_c10,X9)
| ~ spl15_7
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f361,f1]) ).
fof(f361,plain,
( ! [X9] : multiply(sk_c10,X9) = multiply(sk_c3,multiply(identity,X9))
| ~ spl15_7
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f264,f349]) ).
fof(f264,plain,
( ! [X9] : multiply(sk_c3,multiply(sk_c11,X9)) = multiply(sk_c10,X9)
| ~ spl15_14 ),
inference(superposition,[],[f3,f252]) ).
fof(f392,plain,
( ! [X13] : multiply(sk_c8,multiply(sk_c10,X13)) = X13
| ~ spl15_5
| ~ spl15_7
| ~ spl15_15 ),
inference(forward_demodulation,[],[f364,f1]) ).
fof(f364,plain,
( ! [X13] : multiply(sk_c8,multiply(sk_c10,X13)) = multiply(identity,X13)
| ~ spl15_5
| ~ spl15_7
| ~ spl15_15 ),
inference(backward_demodulation,[],[f268,f349]) ).
fof(f268,plain,
( ! [X13] : multiply(sk_c11,X13) = multiply(sk_c8,multiply(sk_c10,X13))
| ~ spl15_5 ),
inference(superposition,[],[f3,f248]) ).
fof(f248,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl15_5 ),
inference(backward_demodulation,[],[f58,f144]) ).
fof(f144,plain,
( sk_c11 = sF1
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl15_5
<=> sk_c11 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f58,plain,
multiply(sk_c8,sk_c10) = sF1,
introduced(function_definition,[]) ).
fof(f395,plain,
( ! [X14] : multiply(sk_c5,X14) = multiply(sk_c8,X14)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f376,f393]) ).
fof(f376,plain,
( ! [X14] : multiply(sk_c5,X14) = multiply(sk_c8,multiply(sk_c8,X14))
| ~ spl15_2
| ~ spl15_3
| ~ spl15_7
| ~ spl15_11
| ~ spl15_15 ),
inference(backward_demodulation,[],[f334,f373]) ).
fof(f373,plain,
( sk_c8 = sk_c7
| ~ spl15_3
| ~ spl15_7
| ~ spl15_11
| ~ spl15_15 ),
inference(backward_demodulation,[],[f324,f372]) ).
fof(f372,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl15_7
| ~ spl15_15 ),
inference(backward_demodulation,[],[f321,f349]) ).
fof(f324,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl15_3
| ~ spl15_11 ),
inference(forward_demodulation,[],[f313,f249]) ).
fof(f249,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl15_11 ),
inference(backward_demodulation,[],[f61,f175]) ).
fof(f175,plain,
( sk_c8 = sF3
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f173,plain,
( spl15_11
<=> sk_c8 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f61,plain,
inverse(sk_c6) = sF3,
introduced(function_definition,[]) ).
fof(f313,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl15_3 ),
inference(superposition,[],[f271,f257]) ).
fof(f257,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl15_3 ),
inference(superposition,[],[f2,f245]) ).
fof(f245,plain,
( inverse(sk_c7) = sk_c6
| ~ spl15_3 ),
inference(backward_demodulation,[],[f70,f135]) ).
fof(f135,plain,
( sk_c6 = sF7
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl15_3
<=> sk_c6 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f70,plain,
inverse(sk_c7) = sF7,
introduced(function_definition,[]) ).
fof(f334,plain,
( ! [X14] : multiply(sk_c7,multiply(sk_c8,X14)) = multiply(sk_c5,X14)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_11 ),
inference(backward_demodulation,[],[f269,f326]) ).
fof(f326,plain,
( sk_c5 = sk_c6
| ~ spl15_7
| ~ spl15_11 ),
inference(forward_demodulation,[],[f311,f310]) ).
fof(f310,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl15_7 ),
inference(superposition,[],[f271,f256]) ).
fof(f256,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl15_7 ),
inference(superposition,[],[f2,f250]) ).
fof(f311,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl15_11 ),
inference(superposition,[],[f271,f258]) ).
fof(f258,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl15_11 ),
inference(superposition,[],[f2,f249]) ).
fof(f269,plain,
( ! [X14] : multiply(sk_c7,multiply(sk_c8,X14)) = multiply(sk_c6,X14)
| ~ spl15_2 ),
inference(superposition,[],[f3,f247]) ).
fof(f247,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl15_2 ),
inference(backward_demodulation,[],[f63,f130]) ).
fof(f130,plain,
( sk_c6 = sF4
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl15_2
<=> sk_c6 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f63,plain,
multiply(sk_c7,sk_c8) = sF4,
introduced(function_definition,[]) ).
fof(f379,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl15_3
| ~ spl15_7
| ~ spl15_11
| ~ spl15_15 ),
inference(backward_demodulation,[],[f310,f377]) ).
fof(f377,plain,
( sk_c5 = inverse(sk_c8)
| ~ spl15_3
| ~ spl15_7
| ~ spl15_11
| ~ spl15_15 ),
inference(backward_demodulation,[],[f329,f373]) ).
fof(f329,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl15_3
| ~ spl15_7
| ~ spl15_11 ),
inference(backward_demodulation,[],[f245,f326]) ).
fof(f400,plain,
( sk_c5 = sk_c8
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f337,f397]) ).
fof(f337,plain,
( sk_c8 = multiply(sk_c5,sk_c5)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_7
| ~ spl15_11 ),
inference(backward_demodulation,[],[f320,f326]) ).
fof(f320,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl15_2
| ~ spl15_3 ),
inference(forward_demodulation,[],[f312,f245]) ).
fof(f312,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl15_2 ),
inference(superposition,[],[f271,f247]) ).
fof(f370,plain,
( sk_c10 = multiply(inverse(sk_c8),identity)
| ~ spl15_5
| ~ spl15_7
| ~ spl15_15 ),
inference(backward_demodulation,[],[f309,f349]) ).
fof(f309,plain,
( sk_c10 = multiply(inverse(sk_c8),sk_c11)
| ~ spl15_5 ),
inference(superposition,[],[f271,f248]) ).
fof(f533,plain,
( ! [X9,X7] :
( identity != multiply(X7,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(inverse(X9))) )
| ~ spl15_7
| ~ spl15_15
| ~ spl15_18 ),
inference(forward_demodulation,[],[f212,f349]) ).
fof(f532,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17 ),
inference(avatar_contradiction_clause,[],[f531]) ).
fof(f531,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17 ),
inference(subsumption_resolution,[],[f524,f384]) ).
fof(f524,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17 ),
inference(trivial_inequality_removal,[],[f519]) ).
fof(f519,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17 ),
inference(superposition,[],[f518,f1]) ).
fof(f518,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17 ),
inference(forward_demodulation,[],[f517,f425]) ).
fof(f517,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17 ),
inference(forward_demodulation,[],[f516,f447]) ).
fof(f447,plain,
( identity = sk_c9
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f442,f1]) ).
fof(f442,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f430,f439]) ).
fof(f439,plain,
( identity = sk_c4
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f434,f2]) ).
fof(f434,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f304,f425]) ).
fof(f430,plain,
( sk_c9 = multiply(sk_c4,identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f244,f425]) ).
fof(f516,plain,
( ! [X4] :
( sk_c9 != multiply(X4,identity)
| sk_c10 != inverse(X4) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17 ),
inference(forward_demodulation,[],[f209,f425]) ).
fof(f515,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_16 ),
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f514,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_16 ),
inference(subsumption_resolution,[],[f513,f384]) ).
fof(f513,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_16 ),
inference(forward_demodulation,[],[f491,f384]) ).
fof(f491,plain,
( identity != inverse(inverse(identity))
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_16 ),
inference(trivial_inequality_removal,[],[f488]) ).
fof(f488,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_16 ),
inference(superposition,[],[f473,f2]) ).
fof(f473,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15
| ~ spl15_16 ),
inference(forward_demodulation,[],[f472,f425]) ).
fof(f472,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c10 != multiply(X3,identity) )
| ~ spl15_7
| ~ spl15_15
| ~ spl15_16 ),
inference(forward_demodulation,[],[f471,f349]) ).
fof(f471,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,identity) )
| ~ spl15_7
| ~ spl15_15
| ~ spl15_16 ),
inference(forward_demodulation,[],[f206,f349]) ).
fof(f466,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| spl15_6
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(avatar_contradiction_clause,[],[f465]) ).
fof(f465,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| spl15_6
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(subsumption_resolution,[],[f464,f427]) ).
fof(f427,plain,
( identity != sF0
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| spl15_6
| ~ spl15_7
| ~ spl15_9
| ~ spl15_11
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f147,f425]) ).
fof(f147,plain,
( sk_c10 != sF0
| spl15_6 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f464,plain,
( identity = sF0
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f463,f1]) ).
fof(f463,plain,
( sF0 = multiply(identity,identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f350,f447]) ).
fof(f350,plain,
( sF0 = multiply(sk_c9,identity)
| ~ spl15_7
| ~ spl15_15 ),
inference(backward_demodulation,[],[f57,f349]) ).
fof(f242,plain,
( spl15_2
| spl15_12 ),
inference(avatar_split_clause,[],[f64,f179,f128]) ).
fof(f64,plain,
( sk_c11 = sF2
| sk_c6 = sF4 ),
inference(definition_folding,[],[f23,f60,f63]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f241,plain,
( spl15_9
| spl15_12 ),
inference(avatar_split_clause,[],[f99,f179,f161]) ).
fof(f99,plain,
( sk_c11 = sF2
| sk_c11 = sF13 ),
inference(definition_folding,[],[f15,f60,f87]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f240,plain,
( spl15_9
| spl15_1 ),
inference(avatar_split_clause,[],[f101,f124,f161]) ).
fof(f101,plain,
( sk_c9 = sF8
| sk_c11 = sF13 ),
inference(definition_folding,[],[f25,f87,f72]) ).
fof(f25,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f239,plain,
( spl15_6
| spl15_7 ),
inference(avatar_split_clause,[],[f93,f152,f146]) ).
fof(f93,plain,
( sk_c8 = sF14
| sk_c10 = sF0 ),
inference(definition_folding,[],[f49,f92,f57]) ).
fof(f49,axiom,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f238,plain,
( spl15_8
| spl15_13 ),
inference(avatar_split_clause,[],[f76,f186,f156]) ).
fof(f76,plain,
( sk_c9 = sF6
| sk_c10 = sF10 ),
inference(definition_folding,[],[f36,f75,f68]) ).
fof(f36,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f237,plain,
( spl15_6
| spl15_3 ),
inference(avatar_split_clause,[],[f110,f133,f146]) ).
fof(f110,plain,
( sk_c6 = sF7
| sk_c10 = sF0 ),
inference(definition_folding,[],[f51,f57,f70]) ).
fof(f51,axiom,
( inverse(sk_c7) = sk_c6
| sk_c10 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f235,plain,
( spl15_1
| spl15_15 ),
inference(avatar_split_clause,[],[f111,f196,f124]) ).
fof(f111,plain,
( sk_c11 = sF11
| sk_c9 = sF8 ),
inference(definition_folding,[],[f28,f79,f72]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f234,plain,
( spl15_6
| spl15_15 ),
inference(avatar_split_clause,[],[f80,f196,f146]) ).
fof(f80,plain,
( sk_c11 = sF11
| sk_c10 = sF0 ),
inference(definition_folding,[],[f48,f57,f79]) ).
fof(f48,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f233,plain,
( spl15_4
| spl15_5 ),
inference(avatar_split_clause,[],[f83,f142,f137]) ).
fof(f83,plain,
( sk_c11 = sF1
| sk_c10 = sF12 ),
inference(definition_folding,[],[f10,f82,f58]) ).
fof(f10,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f232,plain,
( spl15_12
| spl15_7 ),
inference(avatar_split_clause,[],[f113,f152,f179]) ).
fof(f113,plain,
( sk_c8 = sF14
| sk_c11 = sF2 ),
inference(definition_folding,[],[f19,f92,f60]) ).
fof(f19,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f230,plain,
( spl15_12
| spl15_15 ),
inference(avatar_split_clause,[],[f103,f196,f179]) ).
fof(f103,plain,
( sk_c11 = sF11
| sk_c11 = sF2 ),
inference(definition_folding,[],[f18,f79,f60]) ).
fof(f18,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f228,plain,
( spl15_3
| spl15_8 ),
inference(avatar_split_clause,[],[f86,f156,f133]) ).
fof(f86,plain,
( sk_c10 = sF10
| sk_c6 = sF7 ),
inference(definition_folding,[],[f41,f75,f70]) ).
fof(f41,axiom,
( inverse(sk_c7) = sk_c6
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f226,plain,
( spl15_12
| spl15_5 ),
inference(avatar_split_clause,[],[f77,f142,f179]) ).
fof(f77,plain,
( sk_c11 = sF1
| sk_c11 = sF2 ),
inference(definition_folding,[],[f20,f58,f60]) ).
fof(f20,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f225,plain,
( spl15_2
| spl15_6 ),
inference(avatar_split_clause,[],[f115,f146,f128]) ).
fof(f115,plain,
( sk_c10 = sF0
| sk_c6 = sF4 ),
inference(definition_folding,[],[f53,f63,f57]) ).
fof(f53,axiom,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f224,plain,
( spl15_14
| spl15_12 ),
inference(avatar_split_clause,[],[f100,f179,f191]) ).
fof(f100,plain,
( sk_c11 = sF2
| sk_c10 = sF9 ),
inference(definition_folding,[],[f14,f60,f73]) ).
fof(f14,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f223,plain,
( spl15_13
| spl15_12 ),
inference(avatar_split_clause,[],[f69,f179,f186]) ).
fof(f69,plain,
( sk_c11 = sF2
| sk_c9 = sF6 ),
inference(definition_folding,[],[f16,f60,f68]) ).
fof(f16,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f222,plain,
( spl15_13
| spl15_6 ),
inference(avatar_split_clause,[],[f108,f146,f186]) ).
fof(f108,plain,
( sk_c10 = sF0
| sk_c9 = sF6 ),
inference(definition_folding,[],[f46,f57,f68]) ).
fof(f46,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c10 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f221,plain,
( spl15_8
| spl15_9 ),
inference(avatar_split_clause,[],[f88,f161,f156]) ).
fof(f88,plain,
( sk_c11 = sF13
| sk_c10 = sF10 ),
inference(definition_folding,[],[f35,f87,f75]) ).
fof(f35,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f219,plain,
( spl15_3
| spl15_12 ),
inference(avatar_split_clause,[],[f71,f179,f133]) ).
fof(f71,plain,
( sk_c11 = sF2
| sk_c6 = sF7 ),
inference(definition_folding,[],[f21,f70,f60]) ).
fof(f21,axiom,
( sk_c11 = inverse(sk_c1)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f218,plain,
( spl15_11
| spl15_8 ),
inference(avatar_split_clause,[],[f120,f156,f173]) ).
fof(f120,plain,
( sk_c10 = sF10
| sk_c8 = sF3 ),
inference(definition_folding,[],[f42,f61,f75]) ).
fof(f42,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f214,plain,
( spl15_5
| spl15_8 ),
inference(avatar_split_clause,[],[f78,f156,f142]) ).
fof(f78,plain,
( sk_c10 = sF10
| sk_c11 = sF1 ),
inference(definition_folding,[],[f40,f75,f58]) ).
fof(f40,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f213,plain,
( ~ spl15_6
| spl15_16
| spl15_16
| spl15_17
| spl15_17
| spl15_18 ),
inference(avatar_split_clause,[],[f84,f211,f208,f208,f205,f205,f146]) ).
fof(f84,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(X4,sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| sk_c10 != sF0
| sk_c11 != inverse(X5)
| sk_c11 != inverse(X3)
| inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c10 != inverse(X4) ),
inference(definition_folding,[],[f56,f57]) ).
fof(f56,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X4,sk_c10)
| sk_c10 != multiply(sk_c9,sk_c11)
| sk_c10 != inverse(X4)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X5)
| sk_c11 != inverse(X3) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X10,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(inverse(X10),sk_c10)
| multiply(X9,inverse(X10)) != X10
| inverse(X9) != X10
| inverse(X7) != inverse(X10)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X4,sk_c10)
| sk_c10 != multiply(sk_c9,sk_c11)
| sk_c10 != inverse(X4)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != multiply(X7,inverse(X10))
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X5)
| sk_c11 != inverse(X3) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( inverse(X10) != X8
| sk_c11 != multiply(X8,sk_c10)
| multiply(X9,X8) != X10
| inverse(X9) != X10
| inverse(X7) != X8
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X4,sk_c10)
| sk_c10 != multiply(sk_c9,sk_c11)
| sk_c10 != inverse(X4)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != multiply(X7,X8)
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X5)
| sk_c11 != inverse(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f203,plain,
( spl15_8
| spl15_15 ),
inference(avatar_split_clause,[],[f109,f196,f156]) ).
fof(f109,plain,
( sk_c11 = sF11
| sk_c10 = sF10 ),
inference(definition_folding,[],[f38,f75,f79]) ).
fof(f38,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f202,plain,
( spl15_14
| spl15_4 ),
inference(avatar_split_clause,[],[f89,f137,f191]) ).
fof(f89,plain,
( sk_c10 = sF12
| sk_c10 = sF9 ),
inference(definition_folding,[],[f4,f73,f82]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f201,plain,
( spl15_6
| spl15_10 ),
inference(avatar_split_clause,[],[f97,f168,f146]) ).
fof(f97,plain,
( sk_c10 = sF5
| sk_c10 = sF0 ),
inference(definition_folding,[],[f47,f65,f57]) ).
fof(f47,axiom,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f200,plain,
( spl15_10
| spl15_1 ),
inference(avatar_split_clause,[],[f90,f124,f168]) ).
fof(f90,plain,
( sk_c9 = sF8
| sk_c10 = sF5 ),
inference(definition_folding,[],[f27,f72,f65]) ).
fof(f27,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f199,plain,
( spl15_15
| spl15_4 ),
inference(avatar_split_clause,[],[f104,f137,f196]) ).
fof(f104,plain,
( sk_c10 = sF12
| sk_c11 = sF11 ),
inference(definition_folding,[],[f8,f79,f82]) ).
fof(f8,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f194,plain,
( spl15_6
| spl15_14 ),
inference(avatar_split_clause,[],[f94,f191,f146]) ).
fof(f94,plain,
( sk_c10 = sF9
| sk_c10 = sF0 ),
inference(definition_folding,[],[f44,f73,f57]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f189,plain,
( spl15_1
| spl15_13 ),
inference(avatar_split_clause,[],[f81,f186,f124]) ).
fof(f81,plain,
( sk_c9 = sF6
| sk_c9 = sF8 ),
inference(definition_folding,[],[f26,f68,f72]) ).
fof(f26,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f184,plain,
( spl15_11
| spl15_4 ),
inference(avatar_split_clause,[],[f116,f137,f173]) ).
fof(f116,plain,
( sk_c10 = sF12
| sk_c8 = sF3 ),
inference(definition_folding,[],[f12,f82,f61]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c6)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f183,plain,
( spl15_12
| spl15_10 ),
inference(avatar_split_clause,[],[f66,f168,f179]) ).
fof(f66,plain,
( sk_c10 = sF5
| sk_c11 = sF2 ),
inference(definition_folding,[],[f17,f65,f60]) ).
fof(f17,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f182,plain,
( spl15_11
| spl15_12 ),
inference(avatar_split_clause,[],[f62,f179,f173]) ).
fof(f62,plain,
( sk_c11 = sF2
| sk_c8 = sF3 ),
inference(definition_folding,[],[f22,f61,f60]) ).
fof(f22,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f177,plain,
( spl15_1
| spl15_5 ),
inference(avatar_split_clause,[],[f107,f142,f124]) ).
fof(f107,plain,
( sk_c11 = sF1
| sk_c9 = sF8 ),
inference(definition_folding,[],[f30,f72,f58]) ).
fof(f30,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f176,plain,
( spl15_11
| spl15_6 ),
inference(avatar_split_clause,[],[f67,f146,f173]) ).
fof(f67,plain,
( sk_c10 = sF0
| sk_c8 = sF3 ),
inference(definition_folding,[],[f52,f57,f61]) ).
fof(f52,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f171,plain,
( spl15_10
| spl15_8 ),
inference(avatar_split_clause,[],[f112,f156,f168]) ).
fof(f112,plain,
( sk_c10 = sF10
| sk_c10 = sF5 ),
inference(definition_folding,[],[f37,f75,f65]) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f166,plain,
( spl15_4
| spl15_9 ),
inference(avatar_split_clause,[],[f121,f161,f137]) ).
fof(f121,plain,
( sk_c11 = sF13
| sk_c10 = sF12 ),
inference(definition_folding,[],[f5,f82,f87]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f165,plain,
( spl15_2
| spl15_8 ),
inference(avatar_split_clause,[],[f119,f156,f128]) ).
fof(f119,plain,
( sk_c10 = sF10
| sk_c6 = sF4 ),
inference(definition_folding,[],[f43,f63,f75]) ).
fof(f43,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f164,plain,
( spl15_9
| spl15_6 ),
inference(avatar_split_clause,[],[f122,f146,f161]) ).
fof(f122,plain,
( sk_c10 = sF0
| sk_c11 = sF13 ),
inference(definition_folding,[],[f45,f87,f57]) ).
fof(f45,axiom,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f159,plain,
( spl15_7
| spl15_8 ),
inference(avatar_split_clause,[],[f98,f156,f152]) ).
fof(f98,plain,
( sk_c10 = sF10
| sk_c8 = sF14 ),
inference(definition_folding,[],[f39,f75,f92]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f150,plain,
( spl15_3
| spl15_1 ),
inference(avatar_split_clause,[],[f91,f124,f133]) ).
fof(f91,plain,
( sk_c9 = sF8
| sk_c6 = sF7 ),
inference(definition_folding,[],[f31,f70,f72]) ).
fof(f31,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f149,plain,
( spl15_5
| spl15_6 ),
inference(avatar_split_clause,[],[f59,f146,f142]) ).
fof(f59,plain,
( sk_c10 = sF0
| sk_c11 = sF1 ),
inference(definition_folding,[],[f50,f58,f57]) ).
fof(f50,axiom,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f140,plain,
( spl15_3
| spl15_4 ),
inference(avatar_split_clause,[],[f114,f137,f133]) ).
fof(f114,plain,
( sk_c10 = sF12
| sk_c6 = sF7 ),
inference(definition_folding,[],[f11,f70,f82]) ).
fof(f11,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP260-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.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
% 0.13/0.35 % DateTime : Mon Aug 29 22:32:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.40/0.56 % (24223)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)
% 1.40/0.57 % (24237)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)
% 1.68/0.58 % (24245)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)
% 1.68/0.58 % (24240)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)
% 1.68/0.58 % (24237)Instruction limit reached!
% 1.68/0.58 % (24237)------------------------------
% 1.68/0.58 % (24237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.59 % (24232)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.68/0.59 % (24229)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)
% 1.68/0.59 % (24222)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.68/0.59 % (24237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.59 % (24237)Termination reason: Unknown
% 1.68/0.59 % (24237)Termination phase: Saturation
% 1.68/0.59
% 1.68/0.59 % (24237)Memory used [KB]: 6012
% 1.68/0.59 % (24237)Time elapsed: 0.156 s
% 1.68/0.59 % (24237)Instructions burned: 7 (million)
% 1.68/0.59 % (24237)------------------------------
% 1.68/0.59 % (24237)------------------------------
% 1.68/0.60 % (24221)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)
% 1.68/0.60 % (24217)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.68/0.60 % (24241)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)
% 1.68/0.61 % (24241)Refutation not found, incomplete strategy% (24241)------------------------------
% 1.68/0.61 % (24241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.61 % (24241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.61 % (24241)Termination reason: Refutation not found, incomplete strategy
% 1.68/0.61
% 1.68/0.61 % (24241)Memory used [KB]: 5884
% 1.68/0.61 % (24241)Time elapsed: 0.130 s
% 1.68/0.61 % (24241)Instructions burned: 5 (million)
% 1.68/0.61 % (24241)------------------------------
% 1.68/0.61 % (24241)------------------------------
% 1.68/0.61 % (24220)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)
% 1.68/0.62 % (24246)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)
% 1.68/0.62 % (24233)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)
% 1.68/0.62 % (24235)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.68/0.62 % (24229)Instruction limit reached!
% 1.68/0.62 % (24229)------------------------------
% 1.68/0.62 % (24229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.62 % (24229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.62 % (24229)Termination reason: Unknown
% 1.68/0.62 % (24229)Termination phase: Saturation
% 1.68/0.62
% 1.68/0.62 % (24226)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.68/0.62 % (24229)Memory used [KB]: 6268
% 1.68/0.62 % (24229)Time elapsed: 0.195 s
% 1.68/0.62 % (24229)Instructions burned: 23 (million)
% 1.68/0.62 % (24229)------------------------------
% 1.68/0.62 % (24229)------------------------------
% 1.68/0.62 % (24226)Instruction limit reached!
% 1.68/0.62 % (24226)------------------------------
% 1.68/0.62 % (24226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.62 % (24226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.62 % (24226)Termination reason: Unknown
% 1.68/0.62 % (24226)Termination phase: Property scanning
% 1.68/0.62
% 1.68/0.62 % (24226)Memory used [KB]: 1279
% 1.68/0.62 % (24226)Time elapsed: 0.003 s
% 1.68/0.62 % (24226)Instructions burned: 3 (million)
% 1.68/0.62 % (24226)------------------------------
% 1.68/0.62 % (24226)------------------------------
% 1.68/0.62 % (24244)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)
% 1.68/0.62 % (24225)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)
% 1.68/0.63 % (24243)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.68/0.63 % (24219)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)
% 1.68/0.63 % (24238)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)
% 1.68/0.63 % (24239)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)
% 1.68/0.63 % (24225)Refutation not found, incomplete strategy% (24225)------------------------------
% 1.68/0.63 % (24225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.63 % (24225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.63 % (24225)Termination reason: Refutation not found, incomplete strategy
% 1.68/0.63
% 1.68/0.63 % (24225)Memory used [KB]: 5884
% 1.68/0.63 % (24225)Time elapsed: 0.154 s
% 1.68/0.63 % (24225)Instructions burned: 6 (million)
% 1.68/0.63 % (24225)------------------------------
% 1.68/0.63 % (24225)------------------------------
% 1.68/0.63 % (24223)Instruction limit reached!
% 1.68/0.63 % (24223)------------------------------
% 1.68/0.63 % (24223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.63 % (24223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.63 % (24223)Termination reason: Unknown
% 1.68/0.63 % (24223)Termination phase: Saturation
% 1.68/0.63
% 1.68/0.63 % (24223)Memory used [KB]: 1663
% 1.68/0.63 % (24223)Time elapsed: 0.217 s
% 1.68/0.63 % (24223)Instructions burned: 49 (million)
% 1.68/0.63 % (24223)------------------------------
% 1.68/0.63 % (24223)------------------------------
% 1.68/0.64 % (24242)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)
% 1.68/0.64 % (24233)Instruction limit reached!
% 1.68/0.64 % (24233)------------------------------
% 1.68/0.64 % (24233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.64 % (24233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.64 % (24233)Termination reason: Unknown
% 1.68/0.64 % (24233)Termination phase: Finite model building preprocessing
% 1.68/0.64
% 1.68/0.64 % (24233)Memory used [KB]: 1407
% 1.68/0.64 % (24233)Time elapsed: 0.005 s
% 1.68/0.64 % (24233)Instructions burned: 6 (million)
% 1.68/0.64 % (24233)------------------------------
% 1.68/0.64 % (24233)------------------------------
% 1.68/0.64 % (24232)Instruction limit reached!
% 1.68/0.64 % (24232)------------------------------
% 1.68/0.64 % (24232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.64 % (24232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.64 % (24232)Termination reason: Unknown
% 1.68/0.64 % (24232)Termination phase: Saturation
% 1.68/0.64
% 1.68/0.64 % (24232)Memory used [KB]: 1663
% 1.68/0.64 % (24232)Time elapsed: 0.213 s
% 1.68/0.64 % (24232)Instructions burned: 29 (million)
% 1.68/0.64 % (24232)------------------------------
% 1.68/0.64 % (24232)------------------------------
% 1.68/0.64 % (24231)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)
% 1.68/0.64 % (24219)Instruction limit reached!
% 1.68/0.64 % (24219)------------------------------
% 1.68/0.64 % (24219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.64 % (24218)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)
% 1.68/0.64 % (24219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.64 % (24219)Termination reason: Unknown
% 1.68/0.64 % (24219)Termination phase: Saturation
% 1.68/0.64
% 1.68/0.64 % (24219)Memory used [KB]: 5884
% 1.68/0.64 % (24247)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.68/0.64 % (24219)Time elapsed: 0.006 s
% 1.68/0.64 % (24219)Instructions burned: 5 (million)
% 1.68/0.64 % (24219)------------------------------
% 1.68/0.64 % (24219)------------------------------
% 1.68/0.64 % (24236)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)
% 1.68/0.64 % (24227)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)
% 1.68/0.65 % (24235)Instruction limit reached!
% 1.68/0.65 % (24235)------------------------------
% 1.68/0.65 % (24235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.65 % (24235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.65 % (24235)Termination reason: Unknown
% 1.68/0.65 % (24235)Termination phase: Saturation
% 1.68/0.65
% 1.68/0.65 % (24235)Memory used [KB]: 6012
% 1.68/0.65 % (24235)Time elapsed: 0.206 s
% 1.68/0.65 % (24235)Instructions burned: 8 (million)
% 1.68/0.65 % (24235)------------------------------
% 1.68/0.65 % (24235)------------------------------
% 1.68/0.65 % (24238)Instruction limit reached!
% 1.68/0.65 % (24238)------------------------------
% 1.68/0.65 % (24238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.65 % (24238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.65 % (24238)Termination reason: Unknown
% 1.68/0.65 % (24238)Termination phase: Saturation
% 1.68/0.65
% 1.68/0.65 % (24238)Memory used [KB]: 1407
% 1.68/0.65 % (24238)Time elapsed: 0.007 s
% 1.68/0.65 % (24238)Instructions burned: 7 (million)
% 1.68/0.65 % (24238)------------------------------
% 1.68/0.65 % (24238)------------------------------
% 1.68/0.65 % (24230)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.68/0.65 % (24228)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)
% 1.68/0.66 % (24230)Instruction limit reached!
% 1.68/0.66 % (24230)------------------------------
% 1.68/0.66 % (24230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.66 % (24230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.66 % (24230)Termination reason: Unknown
% 1.68/0.66 % (24230)Termination phase: Saturation
% 1.68/0.66
% 1.68/0.66 % (24230)Memory used [KB]: 5884
% 1.68/0.66 % (24230)Time elapsed: 0.233 s
% 1.68/0.66 % (24230)Instructions burned: 5 (million)
% 1.68/0.66 % (24230)------------------------------
% 1.68/0.66 % (24230)------------------------------
% 1.68/0.66 % (24228)Instruction limit reached!
% 1.68/0.66 % (24228)------------------------------
% 1.68/0.66 % (24228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.66 % (24228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.66 % (24228)Termination reason: Unknown
% 1.68/0.66 % (24228)Termination phase: Saturation
% 1.68/0.66
% 1.68/0.66 % (24228)Memory used [KB]: 5884
% 1.68/0.66 % (24228)Time elapsed: 0.233 s
% 1.68/0.66 % (24228)Instructions burned: 6 (million)
% 1.68/0.66 % (24228)------------------------------
% 1.68/0.66 % (24228)------------------------------
% 1.68/0.66 % (24234)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.68/0.66 % (24234)Instruction limit reached!
% 1.68/0.66 % (24234)------------------------------
% 1.68/0.66 % (24234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.66 % (24234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.66 % (24234)Termination reason: Unknown
% 1.68/0.66 % (24234)Termination phase: Property scanning
% 1.68/0.66
% 1.68/0.66 % (24234)Memory used [KB]: 1279
% 1.68/0.66 % (24234)Time elapsed: 0.003 s
% 1.68/0.66 % (24234)Instructions burned: 2 (million)
% 1.68/0.66 % (24234)------------------------------
% 1.68/0.66 % (24234)------------------------------
% 2.40/0.66 % (24236)Refutation not found, incomplete strategy% (24236)------------------------------
% 2.40/0.66 % (24236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.66 % (24231)Instruction limit reached!
% 2.40/0.66 % (24231)------------------------------
% 2.40/0.66 % (24231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.66 % (24231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.66 % (24231)Termination reason: Unknown
% 2.40/0.66 % (24231)Termination phase: Saturation
% 2.40/0.66
% 2.40/0.66 % (24231)Memory used [KB]: 5756
% 2.40/0.66 % (24231)Time elapsed: 0.003 s
% 2.40/0.66 % (24231)Instructions burned: 3 (million)
% 2.40/0.66 % (24231)------------------------------
% 2.40/0.66 % (24231)------------------------------
% 2.40/0.67 % (24222)Instruction limit reached!
% 2.40/0.67 % (24222)------------------------------
% 2.40/0.67 % (24222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.67 % (24222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.67 % (24222)Termination reason: Unknown
% 2.40/0.67 % (24222)Termination phase: Saturation
% 2.40/0.67
% 2.40/0.67 % (24222)Memory used [KB]: 6268
% 2.40/0.67 % (24222)Time elapsed: 0.233 s
% 2.40/0.67 % (24222)Instructions burned: 26 (million)
% 2.40/0.67 % (24222)------------------------------
% 2.40/0.67 % (24222)------------------------------
% 2.40/0.67 % (24236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.67 % (24236)Termination reason: Refutation not found, incomplete strategy
% 2.40/0.67
% 2.40/0.67 % (24236)Memory used [KB]: 10618
% 2.40/0.67 % (24236)Time elapsed: 0.227 s
% 2.40/0.67 % (24236)Instructions burned: 9 (million)
% 2.40/0.67 % (24236)------------------------------
% 2.40/0.67 % (24236)------------------------------
% 2.40/0.68 % (24221)Instruction limit reached!
% 2.40/0.68 % (24221)------------------------------
% 2.40/0.68 % (24221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.68 % (24221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.68 % (24221)Termination reason: Unknown
% 2.40/0.68 % (24221)Termination phase: Saturation
% 2.40/0.68
% 2.40/0.68 % (24221)Memory used [KB]: 6652
% 2.40/0.68 % (24221)Time elapsed: 0.242 s
% 2.40/0.68 % (24221)Instructions burned: 34 (million)
% 2.40/0.68 % (24221)------------------------------
% 2.40/0.68 % (24221)------------------------------
% 2.55/0.69 % (24245)Instruction limit reached!
% 2.55/0.69 % (24245)------------------------------
% 2.55/0.69 % (24245)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.69 % (24246)Instruction limit reached!
% 2.55/0.69 % (24246)------------------------------
% 2.55/0.69 % (24246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.69 % (24246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.69 % (24246)Termination reason: Unknown
% 2.55/0.69 % (24246)Termination phase: Saturation
% 2.55/0.69
% 2.55/0.69 % (24246)Memory used [KB]: 6268
% 2.55/0.69 % (24246)Time elapsed: 0.264 s
% 2.55/0.69 % (24246)Instructions burned: 20 (million)
% 2.55/0.69 % (24246)------------------------------
% 2.55/0.69 % (24246)------------------------------
% 2.55/0.69 % (24245)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.69 % (24245)Termination reason: Unknown
% 2.55/0.69 % (24245)Termination phase: Saturation
% 2.55/0.69
% 2.55/0.69 % (24245)Memory used [KB]: 1791
% 2.55/0.69 % (24245)Time elapsed: 0.262 s
% 2.55/0.69 % (24245)Instructions burned: 73 (million)
% 2.55/0.69 % (24245)------------------------------
% 2.55/0.69 % (24245)------------------------------
% 2.55/0.70 % (24218)Instruction limit reached!
% 2.55/0.70 % (24218)------------------------------
% 2.55/0.70 % (24218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.70 % (24218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.70 % (24218)Termination reason: Unknown
% 2.55/0.70 % (24218)Termination phase: Saturation
% 2.55/0.70
% 2.55/0.70 % (24218)Memory used [KB]: 1791
% 2.55/0.70 % (24218)Time elapsed: 0.261 s
% 2.55/0.70 % (24218)Instructions burned: 42 (million)
% 2.55/0.70 % (24218)------------------------------
% 2.55/0.70 % (24218)------------------------------
% 2.55/0.70 % (24242)Instruction limit reached!
% 2.55/0.70 % (24242)------------------------------
% 2.55/0.70 % (24242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.70 % (24242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.70 % (24242)Termination reason: Unknown
% 2.55/0.70 % (24242)Termination phase: Saturation
% 2.55/0.70
% 2.55/0.70 % (24242)Memory used [KB]: 6908
% 2.55/0.70 % (24242)Time elapsed: 0.274 s
% 2.55/0.70 % (24242)Instructions burned: 47 (million)
% 2.55/0.70 % (24242)------------------------------
% 2.55/0.70 % (24242)------------------------------
% 2.55/0.71 % (24220)Instruction limit reached!
% 2.55/0.71 % (24220)------------------------------
% 2.55/0.71 % (24220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.71 % (24220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.71 % (24220)Termination reason: Unknown
% 2.55/0.71 % (24220)Termination phase: Saturation
% 2.55/0.71
% 2.55/0.71 % (24220)Memory used [KB]: 6524
% 2.55/0.71 % (24220)Time elapsed: 0.238 s
% 2.55/0.71 % (24220)Instructions burned: 43 (million)
% 2.55/0.71 % (24220)------------------------------
% 2.55/0.71 % (24220)------------------------------
% 2.70/0.74 % (24217)First to succeed.
% 2.70/0.76 % (24244)Instruction limit reached!
% 2.70/0.76 % (24244)------------------------------
% 2.70/0.76 % (24244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.77 % (24244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.77 % (24244)Termination reason: Unknown
% 2.70/0.77 % (24244)Termination phase: Saturation
% 2.70/0.77
% 2.70/0.77 % (24244)Memory used [KB]: 6652
% 2.70/0.77 % (24244)Time elapsed: 0.335 s
% 2.70/0.77 % (24244)Instructions burned: 72 (million)
% 2.70/0.77 % (24244)------------------------------
% 2.70/0.77 % (24244)------------------------------
% 2.70/0.78 % (24217)Refutation found. Thanks to Tanya!
% 2.70/0.78 % SZS status Unsatisfiable for theBenchmark
% 2.70/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/0.79 % (24217)------------------------------
% 2.70/0.79 % (24217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.79 % (24217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.79 % (24217)Termination reason: Refutation
% 2.70/0.79
% 2.70/0.79 % (24217)Memory used [KB]: 6652
% 2.70/0.79 % (24217)Time elapsed: 0.292 s
% 2.70/0.79 % (24217)Instructions burned: 42 (million)
% 2.70/0.79 % (24217)------------------------------
% 2.70/0.79 % (24217)------------------------------
% 2.70/0.79 % (24216)Success in time 0.435 s
%------------------------------------------------------------------------------