TSTP Solution File: KLE030+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE030+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n007.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 : Thu Aug 31 05:36:28 EDT 2023
% Result : Theorem 25.54s 4.01s
% Output : Refutation 25.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 106
% Syntax : Number of formulae : 555 ( 33 unt; 0 def)
% Number of atoms : 1520 ( 507 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1765 ( 800 ~; 797 |; 62 &)
% ( 96 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 90 ( 88 usr; 85 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 318 (; 297 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f213534,plain,
$false,
inference(avatar_smt_refutation,[],[f88,f95,f99,f109,f113,f135,f139,f169,f179,f187,f196,f207,f211,f215,f219,f223,f227,f325,f400,f571,f665,f829,f1056,f1075,f1079,f1123,f1124,f1128,f1129,f1136,f1179,f1184,f1282,f1343,f1374,f1479,f1559,f2466,f2577,f2978,f3051,f5247,f5253,f8768,f9061,f13135,f14803,f15717,f16486,f17772,f19218,f20914,f21839,f22958,f24160,f52920,f57013,f62943,f62953,f67374,f67375,f67389,f67406,f67460,f67464,f67468,f68190,f68197,f68203,f78117,f78118,f104436,f109960,f110091,f110224,f118396,f167015,f167206,f213437,f213532,f213533]) ).
fof(f213533,plain,
( ~ spl8_27
| ~ spl8_41
| spl8_72
| ~ spl8_73
| ~ spl8_84 ),
inference(avatar_contradiction_clause,[],[f213530]) ).
fof(f213530,plain,
( $false
| ~ spl8_27
| ~ spl8_41
| spl8_72
| ~ spl8_73
| ~ spl8_84 ),
inference(subsumption_resolution,[],[f67467,f213508]) ).
fof(f213508,plain,
( sF6 = addition(sF6,sK5(sF7,sK2,sF6))
| ~ spl8_27
| ~ spl8_41
| ~ spl8_73
| ~ spl8_84 ),
inference(forward_demodulation,[],[f213507,f82]) ).
fof(f82,plain,
multiplication(sK3,sK0) = sF6,
introduced(function_definition,[]) ).
fof(f213507,plain,
( multiplication(sK3,sK0) = addition(sF6,sK5(sF7,sK2,sF6))
| ~ spl8_27
| ~ spl8_41
| ~ spl8_73
| ~ spl8_84 ),
inference(forward_demodulation,[],[f213481,f68193]) ).
fof(f68193,plain,
( sK0 = addition(sK0,sK5(sF7,sK2,sF6))
| ~ spl8_73 ),
inference(avatar_component_clause,[],[f68192]) ).
fof(f68192,plain,
( spl8_73
<=> sK0 = addition(sK0,sK5(sF7,sK2,sF6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_73])]) ).
fof(f213481,plain,
( addition(sF6,sK5(sF7,sK2,sF6)) = multiplication(sK3,addition(sK0,sK5(sF7,sK2,sF6)))
| ~ spl8_27
| ~ spl8_41
| ~ spl8_84 ),
inference(superposition,[],[f120536,f213436]) ).
fof(f213436,plain,
( sK5(sF7,sK2,sF6) = multiplication(sK3,sK5(sF7,sK2,sF6))
| ~ spl8_84 ),
inference(avatar_component_clause,[],[f213435]) ).
fof(f213435,plain,
( spl8_84
<=> sK5(sF7,sK2,sF6) = multiplication(sK3,sK5(sF7,sK2,sF6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_84])]) ).
fof(f120536,plain,
( ! [X5] : addition(sF6,multiplication(sK3,X5)) = multiplication(sK3,addition(sK0,X5))
| ~ spl8_27
| ~ spl8_41 ),
inference(backward_demodulation,[],[f2596,f119329]) ).
fof(f119329,plain,
( ! [X109] : multiplication(sK3,addition(sK0,X109)) = multiplication(sK3,addition(sF6,X109))
| ~ spl8_27 ),
inference(superposition,[],[f2298,f82]) ).
fof(f2298,plain,
( ! [X16,X17] : multiplication(sK3,addition(X16,X17)) = multiplication(sK3,addition(multiplication(sK3,X16),X17))
| ~ spl8_27 ),
inference(forward_demodulation,[],[f2293,f73]) ).
fof(f73,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/tmp/tmp.GnxuypQ7Wh/Vampire---4.8_24862',right_distributivity) ).
fof(f2293,plain,
( ! [X16,X17] : multiplication(sK3,addition(multiplication(sK3,X16),X17)) = addition(multiplication(sK3,X16),multiplication(sK3,X17))
| ~ spl8_27 ),
inference(superposition,[],[f73,f1065]) ).
fof(f1065,plain,
( ! [X0] : multiplication(sK3,X0) = multiplication(sK3,multiplication(sK3,X0))
| ~ spl8_27 ),
inference(superposition,[],[f72,f1055]) ).
fof(f1055,plain,
( sK3 = multiplication(sK3,sK3)
| ~ spl8_27 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1054,plain,
( spl8_27
<=> sK3 = multiplication(sK3,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_27])]) ).
fof(f72,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.GnxuypQ7Wh/Vampire---4.8_24862',multiplicative_associativity) ).
fof(f2596,plain,
( ! [X5] : multiplication(sK3,addition(sF6,X5)) = addition(sF6,multiplication(sK3,X5))
| ~ spl8_41 ),
inference(superposition,[],[f73,f2465]) ).
fof(f2465,plain,
( sF6 = multiplication(sK3,sF6)
| ~ spl8_41 ),
inference(avatar_component_clause,[],[f2464]) ).
fof(f2464,plain,
( spl8_41
<=> sF6 = multiplication(sK3,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_41])]) ).
fof(f67467,plain,
( sF6 != addition(sF6,sK5(sF7,sK2,sF6))
| spl8_72 ),
inference(avatar_component_clause,[],[f67466]) ).
fof(f67466,plain,
( spl8_72
<=> sF6 = addition(sF6,sK5(sF7,sK2,sF6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_72])]) ).
fof(f213532,plain,
( spl8_72
| ~ spl8_27
| ~ spl8_41
| ~ spl8_73
| ~ spl8_84 ),
inference(avatar_split_clause,[],[f213508,f213435,f68192,f2464,f1054,f67466]) ).
fof(f213437,plain,
( spl8_84
| ~ spl8_16
| ~ spl8_75 ),
inference(avatar_split_clause,[],[f213352,f68201,f213,f213435]) ).
fof(f213,plain,
( spl8_16
<=> one = addition(sK3,c(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).
fof(f68201,plain,
( spl8_75
<=> zero = multiplication(c(sK3),sK5(sF7,sK2,sF6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_75])]) ).
fof(f213352,plain,
( sK5(sF7,sK2,sF6) = multiplication(sK3,sK5(sF7,sK2,sF6))
| ~ spl8_16
| ~ spl8_75 ),
inference(forward_demodulation,[],[f213297,f57]) ).
fof(f57,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.GnxuypQ7Wh/Vampire---4.8_24862',multiplicative_left_identity) ).
fof(f213297,plain,
( multiplication(sK3,sK5(sF7,sK2,sF6)) = multiplication(one,sK5(sF7,sK2,sF6))
| ~ spl8_16
| ~ spl8_75 ),
inference(superposition,[],[f68325,f214]) ).
fof(f214,plain,
( one = addition(sK3,c(sK3))
| ~ spl8_16 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f68325,plain,
( ! [X43] : multiplication(addition(X43,c(sK3)),sK5(sF7,sK2,sF6)) = multiplication(X43,sK5(sF7,sK2,sF6))
| ~ spl8_75 ),
inference(forward_demodulation,[],[f68284,f55]) ).
fof(f55,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/tmp/tmp.GnxuypQ7Wh/Vampire---4.8_24862',additive_identity) ).
fof(f68284,plain,
( ! [X43] : multiplication(addition(X43,c(sK3)),sK5(sF7,sK2,sF6)) = addition(multiplication(X43,sK5(sF7,sK2,sF6)),zero)
| ~ spl8_75 ),
inference(superposition,[],[f74,f68202]) ).
fof(f68202,plain,
( zero = multiplication(c(sK3),sK5(sF7,sK2,sF6))
| ~ spl8_75 ),
inference(avatar_component_clause,[],[f68201]) ).
fof(f74,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.GnxuypQ7Wh/Vampire---4.8_24862',left_distributivity) ).
fof(f167206,plain,
( spl8_83
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f11289,f213,f209,f205,f167204]) ).
fof(f167204,plain,
( spl8_83
<=> addition(sK1,c(sK3)) = addition(sF7,multiplication(c(sK3),addition(one,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_83])]) ).
fof(f205,plain,
( spl8_14
<=> zero = multiplication(c(sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).
fof(f209,plain,
( spl8_15
<=> zero = multiplication(sK3,c(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_15])]) ).
fof(f11289,plain,
( addition(sK1,c(sK3)) = addition(sF7,multiplication(c(sK3),addition(one,sK1)))
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16 ),
inference(forward_demodulation,[],[f11288,f57]) ).
fof(f11288,plain,
( multiplication(one,addition(sK1,c(sK3))) = addition(sF7,multiplication(c(sK3),addition(one,sK1)))
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16 ),
inference(forward_demodulation,[],[f11263,f214]) ).
fof(f11263,plain,
( multiplication(addition(sK3,c(sK3)),addition(sK1,c(sK3))) = addition(sF7,multiplication(c(sK3),addition(one,sK1)))
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16 ),
inference(superposition,[],[f3363,f1428]) ).
fof(f1428,plain,
( ! [X1] : multiplication(c(sK3),addition(X1,c(sK3))) = multiplication(c(sK3),addition(one,X1))
| ~ spl8_14
| ~ spl8_16 ),
inference(superposition,[],[f576,f471]) ).
fof(f471,plain,
( ! [X2] : addition(one,X2) = addition(sK3,addition(X2,c(sK3)))
| ~ spl8_16 ),
inference(superposition,[],[f258,f62]) ).
fof(f62,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.GnxuypQ7Wh/Vampire---4.8_24862',additive_commutativity) ).
fof(f258,plain,
( ! [X0] : addition(sK3,addition(c(sK3),X0)) = addition(one,X0)
| ~ spl8_16 ),
inference(superposition,[],[f71,f214]) ).
fof(f71,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.GnxuypQ7Wh/Vampire---4.8_24862',additive_associativity) ).
fof(f576,plain,
( ! [X2] : multiplication(c(sK3),X2) = multiplication(c(sK3),addition(sK3,X2))
| ~ spl8_14 ),
inference(superposition,[],[f238,f62]) ).
fof(f238,plain,
( ! [X2] : multiplication(c(sK3),addition(X2,sK3)) = multiplication(c(sK3),X2)
| ~ spl8_14 ),
inference(forward_demodulation,[],[f234,f55]) ).
fof(f234,plain,
( ! [X2] : multiplication(c(sK3),addition(X2,sK3)) = addition(multiplication(c(sK3),X2),zero)
| ~ spl8_14 ),
inference(superposition,[],[f73,f206]) ).
fof(f206,plain,
( zero = multiplication(c(sK3),sK3)
| ~ spl8_14 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f3363,plain,
( ! [X28] : multiplication(addition(sK3,X28),addition(sK1,c(sK3))) = addition(sF7,multiplication(X28,addition(sK1,c(sK3))))
| ~ spl8_15 ),
inference(superposition,[],[f458,f83]) ).
fof(f83,plain,
multiplication(sK3,sK1) = sF7,
introduced(function_definition,[]) ).
fof(f458,plain,
( ! [X14,X15] : multiplication(addition(sK3,X15),addition(X14,c(sK3))) = addition(multiplication(sK3,X14),multiplication(X15,addition(X14,c(sK3))))
| ~ spl8_15 ),
inference(superposition,[],[f74,f250]) ).
fof(f250,plain,
( ! [X2] : multiplication(sK3,addition(X2,c(sK3))) = multiplication(sK3,X2)
| ~ spl8_15 ),
inference(forward_demodulation,[],[f246,f55]) ).
fof(f246,plain,
( ! [X2] : multiplication(sK3,addition(X2,c(sK3))) = addition(multiplication(sK3,X2),zero)
| ~ spl8_15 ),
inference(superposition,[],[f73,f210]) ).
fof(f210,plain,
( zero = multiplication(sK3,c(sK3))
| ~ spl8_15 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f167015,plain,
( spl8_82
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f11228,f213,f209,f205,f167013]) ).
fof(f167013,plain,
( spl8_82
<=> addition(sK0,c(sK3)) = addition(sF6,multiplication(c(sK3),addition(one,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_82])]) ).
fof(f11228,plain,
( addition(sK0,c(sK3)) = addition(sF6,multiplication(c(sK3),addition(one,sK0)))
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16 ),
inference(forward_demodulation,[],[f11227,f57]) ).
fof(f11227,plain,
( multiplication(one,addition(sK0,c(sK3))) = addition(sF6,multiplication(c(sK3),addition(one,sK0)))
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16 ),
inference(forward_demodulation,[],[f11202,f214]) ).
fof(f11202,plain,
( multiplication(addition(sK3,c(sK3)),addition(sK0,c(sK3))) = addition(sF6,multiplication(c(sK3),addition(one,sK0)))
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16 ),
inference(superposition,[],[f3362,f1428]) ).
fof(f3362,plain,
( ! [X27] : multiplication(addition(sK3,X27),addition(sK0,c(sK3))) = addition(sF6,multiplication(X27,addition(sK0,c(sK3))))
| ~ spl8_15 ),
inference(superposition,[],[f458,f82]) ).
fof(f118396,plain,
( ~ spl8_80
| spl8_81
| ~ spl8_2
| ~ spl8_65
| ~ spl8_70 ),
inference(avatar_split_clause,[],[f67681,f67458,f57011,f93,f118394,f118391]) ).
fof(f118391,plain,
( spl8_80
<=> sK2 = addition(sK2,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_80])]) ).
fof(f118394,plain,
( spl8_81
<=> sK0 = addition(sK0,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_81])]) ).
fof(f93,plain,
( spl8_2
<=> ismeet(sK0,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f57011,plain,
( spl8_65
<=> sK1 = addition(sK1,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_65])]) ).
fof(f67458,plain,
( spl8_70
<=> sF7 = addition(sF7,sK5(sF7,sK2,sF6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_70])]) ).
fof(f67681,plain,
( sK0 = addition(sK0,sF7)
| sK2 != addition(sK2,sF7)
| ~ spl8_2
| ~ spl8_65
| ~ spl8_70 ),
inference(forward_demodulation,[],[f67680,f67459]) ).
fof(f67459,plain,
( sF7 = addition(sF7,sK5(sF7,sK2,sF6))
| ~ spl8_70 ),
inference(avatar_component_clause,[],[f67458]) ).
fof(f67680,plain,
( sK2 != addition(sK2,sF7)
| sK0 = addition(sK0,addition(sF7,sK5(sF7,sK2,sF6)))
| ~ spl8_2
| ~ spl8_65
| ~ spl8_70 ),
inference(trivial_inequality_removal,[],[f67679]) ).
fof(f67679,plain,
( sK1 != sK1
| sK2 != addition(sK2,sF7)
| sK0 = addition(sK0,addition(sF7,sK5(sF7,sK2,sF6)))
| ~ spl8_2
| ~ spl8_65
| ~ spl8_70 ),
inference(forward_demodulation,[],[f67678,f57012]) ).
fof(f57012,plain,
( sK1 = addition(sK1,sF7)
| ~ spl8_65 ),
inference(avatar_component_clause,[],[f57011]) ).
fof(f67678,plain,
( sK1 != addition(sK1,sF7)
| sK2 != addition(sK2,sF7)
| sK0 = addition(sK0,addition(sF7,sK5(sF7,sK2,sF6)))
| ~ spl8_2
| ~ spl8_70 ),
inference(forward_demodulation,[],[f67677,f67459]) ).
fof(f67677,plain,
( sK2 != addition(sK2,sF7)
| sK1 != addition(sK1,addition(sF7,sK5(sF7,sK2,sF6)))
| sK0 = addition(sK0,addition(sF7,sK5(sF7,sK2,sF6)))
| ~ spl8_2
| ~ spl8_70 ),
inference(forward_demodulation,[],[f67597,f62]) ).
fof(f67597,plain,
( sK2 != addition(sF7,sK2)
| sK1 != addition(sK1,addition(sF7,sK5(sF7,sK2,sF6)))
| sK0 = addition(sK0,addition(sF7,sK5(sF7,sK2,sF6)))
| ~ spl8_2
| ~ spl8_70 ),
inference(superposition,[],[f2643,f67476]) ).
fof(f67476,plain,
( ! [X0] : addition(sF7,X0) = addition(sF7,addition(sK5(sF7,sK2,sF6),X0))
| ~ spl8_70 ),
inference(superposition,[],[f71,f67459]) ).
fof(f2643,plain,
( ! [X4,X5] :
( sK2 != addition(X4,addition(X5,sK2))
| sK1 != addition(sK1,addition(X4,X5))
| sK0 = addition(sK0,addition(X4,X5)) )
| ~ spl8_2 ),
inference(forward_demodulation,[],[f2642,f62]) ).
fof(f2642,plain,
( ! [X4,X5] :
( sK1 != addition(sK1,addition(X4,X5))
| sK2 != addition(X4,addition(X5,sK2))
| sK0 = addition(addition(X4,X5),sK0) )
| ~ spl8_2 ),
inference(forward_demodulation,[],[f2635,f62]) ).
fof(f2635,plain,
( ! [X4,X5] :
( sK2 != addition(X4,addition(X5,sK2))
| sK1 != addition(addition(X4,X5),sK1)
| sK0 = addition(addition(X4,X5),sK0) )
| ~ spl8_2 ),
inference(superposition,[],[f979,f71]) ).
fof(f979,plain,
( ! [X9] :
( sK2 != addition(X9,sK2)
| sK1 != addition(X9,sK1)
| sK0 = addition(X9,sK0) )
| ~ spl8_2 ),
inference(resolution,[],[f289,f70]) ).
fof(f70,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.GnxuypQ7Wh/Vampire---4.8_24862',order) ).
fof(f289,plain,
( ! [X9] :
( ~ leq(X9,sK2)
| sK0 = addition(X9,sK0)
| sK1 != addition(X9,sK1) )
| ~ spl8_2 ),
inference(resolution,[],[f156,f70]) ).
fof(f156,plain,
( ! [X0] :
( ~ leq(X0,sK1)
| ~ leq(X0,sK2)
| sK0 = addition(X0,sK0) )
| ~ spl8_2 ),
inference(resolution,[],[f102,f69]) ).
fof(f69,plain,
! [X0,X1] :
( addition(X0,X1) = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f102,plain,
( ! [X0] :
( leq(X0,sK0)
| ~ leq(X0,sK2)
| ~ leq(X0,sK1) )
| ~ spl8_2 ),
inference(resolution,[],[f94,f77]) ).
fof(f77,plain,
! [X2,X0,X1,X4] :
( leq(X4,X2)
| ~ leq(X4,X1)
| ~ leq(X4,X0)
| ~ ismeet(X2,X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( ismeet(X2,X0,X1)
| ( ~ leq(sK5(X0,X1,X2),X2)
& leq(sK5(X0,X1,X2),X1)
& leq(sK5(X0,X1,X2),X0) )
| ~ leq(X2,X1)
| ~ leq(X2,X0) )
& ( ( ! [X4] :
( leq(X4,X2)
| ~ leq(X4,X1)
| ~ leq(X4,X0) )
& leq(X2,X1)
& leq(X2,X0) )
| ~ ismeet(X2,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f47,f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ leq(X3,X2)
& leq(X3,X1)
& leq(X3,X0) )
=> ( ~ leq(sK5(X0,X1,X2),X2)
& leq(sK5(X0,X1,X2),X1)
& leq(sK5(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( ismeet(X2,X0,X1)
| ? [X3] :
( ~ leq(X3,X2)
& leq(X3,X1)
& leq(X3,X0) )
| ~ leq(X2,X1)
| ~ leq(X2,X0) )
& ( ( ! [X4] :
( leq(X4,X2)
| ~ leq(X4,X1)
| ~ leq(X4,X0) )
& leq(X2,X1)
& leq(X2,X0) )
| ~ ismeet(X2,X0,X1) ) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( ismeet(X2,X0,X1)
| ? [X3] :
( ~ leq(X3,X2)
& leq(X3,X1)
& leq(X3,X0) )
| ~ leq(X2,X1)
| ~ leq(X2,X0) )
& ( ( ! [X3] :
( leq(X3,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X0) )
& leq(X2,X1)
& leq(X2,X0) )
| ~ ismeet(X2,X0,X1) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( ismeet(X2,X0,X1)
| ? [X3] :
( ~ leq(X3,X2)
& leq(X3,X1)
& leq(X3,X0) )
| ~ leq(X2,X1)
| ~ leq(X2,X0) )
& ( ( ! [X3] :
( leq(X3,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X0) )
& leq(X2,X1)
& leq(X2,X0) )
| ~ ismeet(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ismeet(X2,X0,X1)
<=> ( ! [X3] :
( leq(X3,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X0) )
& leq(X2,X1)
& leq(X2,X0) ) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ismeet(X2,X0,X1)
<=> ( ! [X3] :
( leq(X3,X2)
| ~ leq(X3,X1)
| ~ leq(X3,X0) )
& leq(X2,X1)
& leq(X2,X0) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ismeet(X2,X0,X1)
<=> ( ! [X3] :
( ( leq(X3,X1)
& leq(X3,X0) )
=> leq(X3,X2) )
& leq(X2,X1)
& leq(X2,X0) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3,X4,X5] :
( ismeet(X5,X3,X4)
<=> ( ! [X6] :
( ( leq(X6,X4)
& leq(X6,X3) )
=> leq(X6,X5) )
& leq(X5,X4)
& leq(X5,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GnxuypQ7Wh/Vampire---4.8_24862',ismeet) ).
fof(f94,plain,
( ismeet(sK0,sK1,sK2)
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f110224,plain,
( spl8_79
| ~ spl8_42
| ~ spl8_76 ),
inference(avatar_split_clause,[],[f105469,f104434,f2575,f110222]) ).
fof(f110222,plain,
( spl8_79
<=> sF7 = multiplication(sK3,addition(sF7,addition(sK0,sF7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_79])]) ).
fof(f2575,plain,
( spl8_42
<=> sF7 = multiplication(sK3,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_42])]) ).
fof(f104434,plain,
( spl8_76
<=> sF7 = multiplication(sK3,addition(sK0,sF7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_76])]) ).
fof(f105469,plain,
( sF7 = multiplication(sK3,addition(sF7,addition(sK0,sF7)))
| ~ spl8_42
| ~ spl8_76 ),
inference(forward_demodulation,[],[f105425,f58]) ).
fof(f58,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.GnxuypQ7Wh/Vampire---4.8_24862',additive_idempotence) ).
fof(f105425,plain,
( addition(sF7,sF7) = multiplication(sK3,addition(sF7,addition(sK0,sF7)))
| ~ spl8_42
| ~ spl8_76 ),
inference(superposition,[],[f2620,f104435]) ).
fof(f104435,plain,
( sF7 = multiplication(sK3,addition(sK0,sF7))
| ~ spl8_76 ),
inference(avatar_component_clause,[],[f104434]) ).
fof(f2620,plain,
( ! [X5] : multiplication(sK3,addition(sF7,X5)) = addition(sF7,multiplication(sK3,X5))
| ~ spl8_42 ),
inference(superposition,[],[f73,f2576]) ).
fof(f2576,plain,
( sF7 = multiplication(sK3,sF7)
| ~ spl8_42 ),
inference(avatar_component_clause,[],[f2575]) ).
fof(f110091,plain,
( spl8_78
| ~ spl8_15
| ~ spl8_40 ),
inference(avatar_split_clause,[],[f7821,f1557,f209,f110089]) ).
fof(f110089,plain,
( spl8_78
<=> addition(sK1,c(sK3)) = addition(sF7,addition(sK1,c(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_78])]) ).
fof(f1557,plain,
( spl8_40
<=> one = addition(one,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_40])]) ).
fof(f7821,plain,
( addition(sK1,c(sK3)) = addition(sF7,addition(sK1,c(sK3)))
| ~ spl8_15
| ~ spl8_40 ),
inference(superposition,[],[f3433,f83]) ).
fof(f3433,plain,
( ! [X9] : addition(X9,c(sK3)) = addition(multiplication(sK3,X9),addition(X9,c(sK3)))
| ~ spl8_15
| ~ spl8_40 ),
inference(forward_demodulation,[],[f3432,f57]) ).
fof(f3432,plain,
( ! [X9] : multiplication(one,addition(X9,c(sK3))) = addition(multiplication(sK3,X9),addition(X9,c(sK3)))
| ~ spl8_15
| ~ spl8_40 ),
inference(forward_demodulation,[],[f3431,f1558]) ).
fof(f1558,plain,
( one = addition(one,sK3)
| ~ spl8_40 ),
inference(avatar_component_clause,[],[f1557]) ).
fof(f3431,plain,
( ! [X9] : addition(multiplication(sK3,X9),addition(X9,c(sK3))) = multiplication(addition(one,sK3),addition(X9,c(sK3)))
| ~ spl8_15 ),
inference(forward_demodulation,[],[f3386,f62]) ).
fof(f3386,plain,
( ! [X9] : multiplication(addition(sK3,one),addition(X9,c(sK3))) = addition(multiplication(sK3,X9),addition(X9,c(sK3)))
| ~ spl8_15 ),
inference(superposition,[],[f458,f57]) ).
fof(f109960,plain,
( spl8_77
| ~ spl8_15
| ~ spl8_40 ),
inference(avatar_split_clause,[],[f7820,f1557,f209,f109958]) ).
fof(f109958,plain,
( spl8_77
<=> addition(sK0,c(sK3)) = addition(sF6,addition(sK0,c(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_77])]) ).
fof(f7820,plain,
( addition(sK0,c(sK3)) = addition(sF6,addition(sK0,c(sK3)))
| ~ spl8_15
| ~ spl8_40 ),
inference(superposition,[],[f3433,f82]) ).
fof(f104436,plain,
( spl8_76
| ~ spl8_8
| ~ spl8_55
| ~ spl8_61
| ~ spl8_64 ),
inference(avatar_split_clause,[],[f68187,f52918,f21837,f15715,f167,f104434]) ).
fof(f167,plain,
( spl8_8
<=> sK1 = addition(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).
fof(f15715,plain,
( spl8_55
<=> addition(sF6,sF7) = multiplication(sK3,addition(sK1,sF6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_55])]) ).
fof(f21837,plain,
( spl8_61
<=> addition(sF6,sF7) = multiplication(sK3,addition(sK0,sF7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_61])]) ).
fof(f52918,plain,
( spl8_64
<=> sK0 = addition(sK0,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_64])]) ).
fof(f68187,plain,
( sF7 = multiplication(sK3,addition(sK0,sF7))
| ~ spl8_8
| ~ spl8_55
| ~ spl8_61
| ~ spl8_64 ),
inference(backward_demodulation,[],[f21838,f62944]) ).
fof(f62944,plain,
( sF7 = addition(sF6,sF7)
| ~ spl8_8
| ~ spl8_55
| ~ spl8_64 ),
inference(forward_demodulation,[],[f62939,f83]) ).
fof(f62939,plain,
( multiplication(sK3,sK1) = addition(sF6,sF7)
| ~ spl8_8
| ~ spl8_55
| ~ spl8_64 ),
inference(backward_demodulation,[],[f15716,f60610]) ).
fof(f60610,plain,
( sK1 = addition(sK1,sF6)
| ~ spl8_8
| ~ spl8_64 ),
inference(forward_demodulation,[],[f60609,f168]) ).
fof(f168,plain,
( sK1 = addition(sK0,sK1)
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f60609,plain,
( addition(sK0,sK1) = addition(sK1,sF6)
| ~ spl8_8
| ~ spl8_64 ),
inference(forward_demodulation,[],[f60527,f62]) ).
fof(f60527,plain,
( addition(sK0,sK1) = addition(sF6,sK1)
| ~ spl8_8
| ~ spl8_64 ),
inference(superposition,[],[f54927,f389]) ).
fof(f389,plain,
( ! [X2] : addition(X2,sK1) = addition(sK0,addition(X2,sK1))
| ~ spl8_8 ),
inference(superposition,[],[f192,f62]) ).
fof(f192,plain,
( ! [X0] : addition(sK1,X0) = addition(sK0,addition(sK1,X0))
| ~ spl8_8 ),
inference(superposition,[],[f71,f168]) ).
fof(f54927,plain,
( ! [X0] : addition(sK0,X0) = addition(sK0,addition(sF6,X0))
| ~ spl8_64 ),
inference(superposition,[],[f71,f52919]) ).
fof(f52919,plain,
( sK0 = addition(sK0,sF6)
| ~ spl8_64 ),
inference(avatar_component_clause,[],[f52918]) ).
fof(f15716,plain,
( addition(sF6,sF7) = multiplication(sK3,addition(sK1,sF6))
| ~ spl8_55 ),
inference(avatar_component_clause,[],[f15715]) ).
fof(f21838,plain,
( addition(sF6,sF7) = multiplication(sK3,addition(sK0,sF7))
| ~ spl8_61 ),
inference(avatar_component_clause,[],[f21837]) ).
fof(f78118,plain,
( ~ spl8_65
| ~ spl8_70
| spl8_74 ),
inference(avatar_contradiction_clause,[],[f78115]) ).
fof(f78115,plain,
( $false
| ~ spl8_65
| ~ spl8_70
| spl8_74 ),
inference(subsumption_resolution,[],[f68196,f68829]) ).
fof(f68829,plain,
( sK1 = addition(sK1,sK5(sF7,sK2,sF6))
| ~ spl8_65
| ~ spl8_70 ),
inference(forward_demodulation,[],[f68749,f57012]) ).
fof(f68749,plain,
( addition(sK1,sF7) = addition(sK1,sK5(sF7,sK2,sF6))
| ~ spl8_65
| ~ spl8_70 ),
inference(superposition,[],[f57441,f67459]) ).
fof(f57441,plain,
( ! [X1] : addition(sK1,X1) = addition(sK1,addition(sF7,X1))
| ~ spl8_65 ),
inference(superposition,[],[f71,f57012]) ).
fof(f68196,plain,
( sK1 != addition(sK1,sK5(sF7,sK2,sF6))
| spl8_74 ),
inference(avatar_component_clause,[],[f68195]) ).
fof(f68195,plain,
( spl8_74
<=> sK1 = addition(sK1,sK5(sF7,sK2,sF6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_74])]) ).
fof(f78117,plain,
( spl8_74
| ~ spl8_65
| ~ spl8_70 ),
inference(avatar_split_clause,[],[f68829,f67458,f57011,f68195]) ).
fof(f68203,plain,
( spl8_75
| ~ spl8_14
| ~ spl8_21
| ~ spl8_70 ),
inference(avatar_split_clause,[],[f67693,f67458,f398,f205,f68201]) ).
fof(f398,plain,
( spl8_21
<=> zero = multiplication(c(sK3),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_21])]) ).
fof(f67693,plain,
( zero = multiplication(c(sK3),sK5(sF7,sK2,sF6))
| ~ spl8_14
| ~ spl8_21
| ~ spl8_70 ),
inference(forward_demodulation,[],[f67692,f399]) ).
fof(f399,plain,
( zero = multiplication(c(sK3),sF7)
| ~ spl8_21 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f67692,plain,
( multiplication(c(sK3),sF7) = multiplication(c(sK3),sK5(sF7,sK2,sF6))
| ~ spl8_14
| ~ spl8_70 ),
inference(forward_demodulation,[],[f67691,f238]) ).
fof(f67691,plain,
( multiplication(c(sK3),addition(sF7,sK3)) = multiplication(c(sK3),sK5(sF7,sK2,sF6))
| ~ spl8_14
| ~ spl8_70 ),
inference(forward_demodulation,[],[f67600,f2167]) ).
fof(f2167,plain,
( ! [X26] : multiplication(c(sK3),X26) = multiplication(c(sK3),addition(sF7,X26))
| ~ spl8_14 ),
inference(superposition,[],[f2152,f83]) ).
fof(f2152,plain,
( ! [X6,X7] : multiplication(c(sK3),addition(multiplication(sK3,X6),X7)) = multiplication(c(sK3),X7)
| ~ spl8_14 ),
inference(forward_demodulation,[],[f314,f1422]) ).
fof(f1422,plain,
( ! [X1] : multiplication(c(sK3),X1) = addition(zero,multiplication(c(sK3),X1))
| ~ spl8_14 ),
inference(backward_demodulation,[],[f233,f576]) ).
fof(f233,plain,
( ! [X1] : multiplication(c(sK3),addition(sK3,X1)) = addition(zero,multiplication(c(sK3),X1))
| ~ spl8_14 ),
inference(superposition,[],[f73,f206]) ).
fof(f314,plain,
( ! [X6,X7] : multiplication(c(sK3),addition(multiplication(sK3,X6),X7)) = addition(zero,multiplication(c(sK3),X7))
| ~ spl8_14 ),
inference(superposition,[],[f73,f237]) ).
fof(f237,plain,
( ! [X0] : zero = multiplication(c(sK3),multiplication(sK3,X0))
| ~ spl8_14 ),
inference(forward_demodulation,[],[f232,f54]) ).
fof(f54,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox2/tmp/tmp.GnxuypQ7Wh/Vampire---4.8_24862',left_annihilation) ).
fof(f232,plain,
( ! [X0] : multiplication(zero,X0) = multiplication(c(sK3),multiplication(sK3,X0))
| ~ spl8_14 ),
inference(superposition,[],[f72,f206]) ).
fof(f67600,plain,
( multiplication(c(sK3),addition(sF7,sK3)) = multiplication(c(sK3),addition(sF7,sK5(sF7,sK2,sF6)))
| ~ spl8_14
| ~ spl8_70 ),
inference(superposition,[],[f578,f67476]) ).
fof(f578,plain,
( ! [X4,X5] : multiplication(c(sK3),addition(X4,X5)) = multiplication(c(sK3),addition(X4,addition(X5,sK3)))
| ~ spl8_14 ),
inference(superposition,[],[f238,f71]) ).
fof(f68197,plain,
( spl8_73
| ~ spl8_74
| ~ spl8_2
| ~ spl8_68 ),
inference(avatar_split_clause,[],[f67401,f67387,f93,f68195,f68192]) ).
fof(f67387,plain,
( spl8_68
<=> leq(sK5(sF7,sK2,sF6),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_68])]) ).
fof(f67401,plain,
( sK1 != addition(sK1,sK5(sF7,sK2,sF6))
| sK0 = addition(sK0,sK5(sF7,sK2,sF6))
| ~ spl8_2
| ~ spl8_68 ),
inference(forward_demodulation,[],[f67400,f62]) ).
fof(f67400,plain,
( sK0 = addition(sK0,sK5(sF7,sK2,sF6))
| sK1 != addition(sK5(sF7,sK2,sF6),sK1)
| ~ spl8_2
| ~ spl8_68 ),
inference(forward_demodulation,[],[f67390,f62]) ).
fof(f67390,plain,
( sK0 = addition(sK5(sF7,sK2,sF6),sK0)
| sK1 != addition(sK5(sF7,sK2,sF6),sK1)
| ~ spl8_2
| ~ spl8_68 ),
inference(resolution,[],[f67388,f289]) ).
fof(f67388,plain,
( leq(sK5(sF7,sK2,sF6),sK2)
| ~ spl8_68 ),
inference(avatar_component_clause,[],[f67387]) ).
fof(f68190,plain,
( spl8_13
| ~ spl8_8
| ~ spl8_55
| ~ spl8_64 ),
inference(avatar_split_clause,[],[f62944,f52918,f15715,f167,f194]) ).
fof(f194,plain,
( spl8_13
<=> sF7 = addition(sF6,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_13])]) ).
fof(f67468,plain,
( ~ spl8_72
| spl8_69 ),
inference(avatar_split_clause,[],[f67456,f67404,f67466]) ).
fof(f67404,plain,
( spl8_69
<=> leq(sK5(sF7,sK2,sF6),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_69])]) ).
fof(f67456,plain,
( sF6 != addition(sF6,sK5(sF7,sK2,sF6))
| spl8_69 ),
inference(forward_demodulation,[],[f67455,f62]) ).
fof(f67455,plain,
( sF6 != addition(sK5(sF7,sK2,sF6),sF6)
| spl8_69 ),
inference(resolution,[],[f67405,f70]) ).
fof(f67405,plain,
( ~ leq(sK5(sF7,sK2,sF6),sF6)
| spl8_69 ),
inference(avatar_component_clause,[],[f67404]) ).
fof(f67464,plain,
( spl8_71
| ~ spl8_68 ),
inference(avatar_split_clause,[],[f67402,f67387,f67462]) ).
fof(f67462,plain,
( spl8_71
<=> sK2 = addition(sK2,sK5(sF7,sK2,sF6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_71])]) ).
fof(f67402,plain,
( sK2 = addition(sK2,sK5(sF7,sK2,sF6))
| ~ spl8_68 ),
inference(forward_demodulation,[],[f67391,f62]) ).
fof(f67391,plain,
( sK2 = addition(sK5(sF7,sK2,sF6),sK2)
| ~ spl8_68 ),
inference(resolution,[],[f67388,f69]) ).
fof(f67460,plain,
( spl8_70
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f67385,f177,f67458]) ).
fof(f177,plain,
( spl8_11
<=> leq(sK5(sF7,sK2,sF6),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).
fof(f67385,plain,
( sF7 = addition(sF7,sK5(sF7,sK2,sF6))
| ~ spl8_11 ),
inference(forward_demodulation,[],[f67376,f62]) ).
fof(f67376,plain,
( sF7 = addition(sK5(sF7,sK2,sF6),sF7)
| ~ spl8_11 ),
inference(resolution,[],[f178,f69]) ).
fof(f178,plain,
( leq(sK5(sF7,sK2,sF6),sF7)
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f67406,plain,
( ~ spl8_9
| ~ spl8_10
| ~ spl8_69
| spl8_3 ),
inference(avatar_split_clause,[],[f105,f97,f67404,f174,f171]) ).
fof(f171,plain,
( spl8_9
<=> leq(sF6,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).
fof(f174,plain,
( spl8_10
<=> leq(sF6,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).
fof(f97,plain,
( spl8_3
<=> ismeet(sF6,sF7,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f105,plain,
( ~ leq(sK5(sF7,sK2,sF6),sF6)
| ~ leq(sF6,sK2)
| ~ leq(sF6,sF7)
| spl8_3 ),
inference(resolution,[],[f98,f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ismeet(X2,X0,X1)
| ~ leq(sK5(X0,X1,X2),X2)
| ~ leq(X2,X1)
| ~ leq(X2,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f98,plain,
( ~ ismeet(sF6,sF7,sK2)
| spl8_3 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f67389,plain,
( ~ spl8_9
| ~ spl8_10
| spl8_68
| spl8_3 ),
inference(avatar_split_clause,[],[f104,f97,f67387,f174,f171]) ).
fof(f104,plain,
( leq(sK5(sF7,sK2,sF6),sK2)
| ~ leq(sF6,sK2)
| ~ leq(sF6,sF7)
| spl8_3 ),
inference(resolution,[],[f98,f79]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ismeet(X2,X0,X1)
| leq(sK5(X0,X1,X2),X1)
| ~ leq(X2,X1)
| ~ leq(X2,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f67375,plain,
( ~ spl8_12
| ~ spl8_64
| spl8_67 ),
inference(avatar_contradiction_clause,[],[f67372]) ).
fof(f67372,plain,
( $false
| ~ spl8_12
| ~ spl8_64
| spl8_67 ),
inference(subsumption_resolution,[],[f62952,f60612]) ).
fof(f60612,plain,
( sK2 = addition(sK2,sF6)
| ~ spl8_12
| ~ spl8_64 ),
inference(forward_demodulation,[],[f60611,f186]) ).
fof(f186,plain,
( sK2 = addition(sK0,sK2)
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl8_12
<=> sK2 = addition(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
fof(f60611,plain,
( addition(sK0,sK2) = addition(sK2,sF6)
| ~ spl8_12
| ~ spl8_64 ),
inference(forward_demodulation,[],[f60528,f62]) ).
fof(f60528,plain,
( addition(sK0,sK2) = addition(sF6,sK2)
| ~ spl8_12
| ~ spl8_64 ),
inference(superposition,[],[f54927,f405]) ).
fof(f405,plain,
( ! [X2] : addition(X2,sK2) = addition(sK0,addition(X2,sK2))
| ~ spl8_12 ),
inference(superposition,[],[f201,f62]) ).
fof(f201,plain,
( ! [X0] : addition(sK2,X0) = addition(sK0,addition(sK2,X0))
| ~ spl8_12 ),
inference(superposition,[],[f71,f186]) ).
fof(f62952,plain,
( sK2 != addition(sK2,sF6)
| spl8_67 ),
inference(avatar_component_clause,[],[f62951]) ).
fof(f62951,plain,
( spl8_67
<=> sK2 = addition(sK2,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_67])]) ).
fof(f67374,plain,
( spl8_67
| ~ spl8_12
| ~ spl8_64 ),
inference(avatar_split_clause,[],[f60612,f52918,f185,f62951]) ).
fof(f62953,plain,
( ~ spl8_67
| spl8_10 ),
inference(avatar_split_clause,[],[f62949,f174,f62951]) ).
fof(f62949,plain,
( sK2 != addition(sK2,sF6)
| spl8_10 ),
inference(forward_demodulation,[],[f62948,f62]) ).
fof(f62948,plain,
( sK2 != addition(sF6,sK2)
| spl8_10 ),
inference(resolution,[],[f175,f70]) ).
fof(f175,plain,
( ~ leq(sF6,sK2)
| spl8_10 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f62943,plain,
( spl8_66
| ~ spl8_8
| ~ spl8_64 ),
inference(avatar_split_clause,[],[f60610,f52918,f167,f62941]) ).
fof(f62941,plain,
( spl8_66
<=> sK1 = addition(sK1,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_66])]) ).
fof(f57013,plain,
( spl8_65
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16
| ~ spl8_40 ),
inference(avatar_split_clause,[],[f50383,f1557,f213,f209,f205,f57011]) ).
fof(f50383,plain,
( sK1 = addition(sK1,sF7)
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16
| ~ spl8_40 ),
inference(superposition,[],[f49579,f83]) ).
fof(f49579,plain,
( ! [X3] : addition(X3,multiplication(sK3,X3)) = X3
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16
| ~ spl8_40 ),
inference(forward_demodulation,[],[f49578,f57]) ).
fof(f49578,plain,
( ! [X3] : multiplication(one,X3) = addition(X3,multiplication(sK3,X3))
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16
| ~ spl8_40 ),
inference(forward_demodulation,[],[f49577,f62]) ).
fof(f49577,plain,
( ! [X3] : multiplication(one,X3) = addition(multiplication(sK3,X3),X3)
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16
| ~ spl8_40 ),
inference(forward_demodulation,[],[f49576,f1558]) ).
fof(f49576,plain,
( ! [X3] : addition(multiplication(sK3,X3),X3) = multiplication(addition(one,sK3),X3)
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16 ),
inference(forward_demodulation,[],[f49575,f57]) ).
fof(f49575,plain,
( ! [X3] : multiplication(addition(one,sK3),X3) = multiplication(one,addition(multiplication(sK3,X3),X3))
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16 ),
inference(forward_demodulation,[],[f49574,f57]) ).
fof(f49574,plain,
( ! [X3] : multiplication(one,addition(multiplication(sK3,X3),multiplication(one,X3))) = multiplication(addition(one,sK3),multiplication(one,X3))
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16 ),
inference(forward_demodulation,[],[f49573,f29322]) ).
fof(f29322,plain,
( ! [X142,X143] : multiplication(addition(X142,sK3),X143) = multiplication(addition(sK3,X142),X143)
| ~ spl8_15 ),
inference(forward_demodulation,[],[f29244,f55]) ).
fof(f29244,plain,
( ! [X142,X143] : multiplication(addition(sK3,X142),addition(X143,zero)) = multiplication(addition(X142,sK3),addition(X143,zero))
| ~ spl8_15 ),
inference(superposition,[],[f29021,f53]) ).
fof(f53,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox2/tmp/tmp.GnxuypQ7Wh/Vampire---4.8_24862',right_annihilation) ).
fof(f29021,plain,
( ! [X24,X22,X23] : multiplication(addition(X24,sK3),addition(X22,multiplication(c(sK3),X23))) = multiplication(addition(sK3,X24),addition(X22,multiplication(c(sK3),X23)))
| ~ spl8_15 ),
inference(forward_demodulation,[],[f1612,f1601]) ).
fof(f1601,plain,
( ! [X26,X27,X25] : multiplication(addition(sK3,X27),addition(X25,multiplication(c(sK3),X26))) = addition(multiplication(sK3,X25),multiplication(X27,addition(X25,multiplication(c(sK3),X26))))
| ~ spl8_15 ),
inference(superposition,[],[f74,f344]) ).
fof(f344,plain,
( ! [X10,X9] : multiplication(sK3,X10) = multiplication(sK3,addition(X10,multiplication(c(sK3),X9)))
| ~ spl8_15 ),
inference(forward_demodulation,[],[f339,f55]) ).
fof(f339,plain,
( ! [X10,X9] : multiplication(sK3,addition(X10,multiplication(c(sK3),X9))) = addition(multiplication(sK3,X10),zero)
| ~ spl8_15 ),
inference(superposition,[],[f73,f249]) ).
fof(f249,plain,
( ! [X0] : zero = multiplication(sK3,multiplication(c(sK3),X0))
| ~ spl8_15 ),
inference(forward_demodulation,[],[f244,f54]) ).
fof(f244,plain,
( ! [X0] : multiplication(zero,X0) = multiplication(sK3,multiplication(c(sK3),X0))
| ~ spl8_15 ),
inference(superposition,[],[f72,f210]) ).
fof(f1612,plain,
( ! [X24,X22,X23] : multiplication(addition(X24,sK3),addition(X22,multiplication(c(sK3),X23))) = addition(multiplication(sK3,X22),multiplication(X24,addition(X22,multiplication(c(sK3),X23))))
| ~ spl8_15 ),
inference(forward_demodulation,[],[f1600,f62]) ).
fof(f1600,plain,
( ! [X24,X22,X23] : multiplication(addition(X24,sK3),addition(X22,multiplication(c(sK3),X23))) = addition(multiplication(X24,addition(X22,multiplication(c(sK3),X23))),multiplication(sK3,X22))
| ~ spl8_15 ),
inference(superposition,[],[f74,f344]) ).
fof(f49573,plain,
( ! [X3] : multiplication(one,addition(multiplication(sK3,X3),multiplication(one,X3))) = multiplication(addition(sK3,one),multiplication(one,X3))
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16 ),
inference(forward_demodulation,[],[f48908,f214]) ).
fof(f48908,plain,
( ! [X3] : multiplication(addition(sK3,c(sK3)),addition(multiplication(sK3,X3),multiplication(addition(sK3,c(sK3)),X3))) = multiplication(addition(sK3,addition(sK3,c(sK3))),multiplication(addition(sK3,c(sK3)),X3))
| ~ spl8_14
| ~ spl8_15 ),
inference(superposition,[],[f1990,f1705]) ).
fof(f1705,plain,
( ! [X11,X12,X13] : multiplication(addition(X11,c(sK3)),addition(multiplication(sK3,X12),X13)) = addition(multiplication(X11,multiplication(sK3,X12)),multiplication(addition(X11,c(sK3)),X13))
| ~ spl8_14 ),
inference(superposition,[],[f73,f321]) ).
fof(f321,plain,
( ! [X10,X11] : multiplication(addition(X11,c(sK3)),multiplication(sK3,X10)) = multiplication(X11,multiplication(sK3,X10))
| ~ spl8_14 ),
inference(forward_demodulation,[],[f316,f55]) ).
fof(f316,plain,
( ! [X10,X11] : multiplication(addition(X11,c(sK3)),multiplication(sK3,X10)) = addition(multiplication(X11,multiplication(sK3,X10)),zero)
| ~ spl8_14 ),
inference(superposition,[],[f74,f237]) ).
fof(f1990,plain,
( ! [X31,X32,X30] : multiplication(addition(sK3,X32),multiplication(addition(X30,c(sK3)),X31)) = addition(multiplication(sK3,multiplication(X30,X31)),multiplication(X32,multiplication(addition(X30,c(sK3)),X31)))
| ~ spl8_15 ),
inference(superposition,[],[f74,f460]) ).
fof(f460,plain,
( ! [X6,X7] : multiplication(sK3,multiplication(addition(X6,c(sK3)),X7)) = multiplication(sK3,multiplication(X6,X7))
| ~ spl8_15 ),
inference(forward_demodulation,[],[f454,f72]) ).
fof(f454,plain,
( ! [X6,X7] : multiplication(sK3,multiplication(addition(X6,c(sK3)),X7)) = multiplication(multiplication(sK3,X6),X7)
| ~ spl8_15 ),
inference(superposition,[],[f72,f250]) ).
fof(f52920,plain,
( spl8_64
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16
| ~ spl8_40 ),
inference(avatar_split_clause,[],[f50382,f1557,f213,f209,f205,f52918]) ).
fof(f50382,plain,
( sK0 = addition(sK0,sF6)
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16
| ~ spl8_40 ),
inference(superposition,[],[f49579,f82]) ).
fof(f24160,plain,
( spl8_63
| ~ spl8_42
| ~ spl8_58 ),
inference(avatar_split_clause,[],[f19672,f19216,f2575,f24158]) ).
fof(f24158,plain,
( spl8_63
<=> sF7 = multiplication(sK3,addition(sF7,addition(sK1,sF7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_63])]) ).
fof(f19216,plain,
( spl8_58
<=> sF7 = multiplication(sK3,addition(sK1,sF7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_58])]) ).
fof(f19672,plain,
( sF7 = multiplication(sK3,addition(sF7,addition(sK1,sF7)))
| ~ spl8_42
| ~ spl8_58 ),
inference(forward_demodulation,[],[f19658,f58]) ).
fof(f19658,plain,
( addition(sF7,sF7) = multiplication(sK3,addition(sF7,addition(sK1,sF7)))
| ~ spl8_42
| ~ spl8_58 ),
inference(superposition,[],[f2620,f19217]) ).
fof(f19217,plain,
( sF7 = multiplication(sK3,addition(sK1,sF7))
| ~ spl8_58 ),
inference(avatar_component_clause,[],[f19216]) ).
fof(f22958,plain,
( spl8_62
| ~ spl8_15
| ~ spl8_42 ),
inference(avatar_split_clause,[],[f18884,f2575,f209,f22956]) ).
fof(f22956,plain,
( spl8_62
<=> addition(sK3,sF7) = multiplication(sK3,addition(one,sF7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_62])]) ).
fof(f18884,plain,
( addition(sK3,sF7) = multiplication(sK3,addition(one,sF7))
| ~ spl8_15
| ~ spl8_42 ),
inference(forward_demodulation,[],[f18883,f62]) ).
fof(f18883,plain,
( addition(sF7,sK3) = multiplication(sK3,addition(one,sF7))
| ~ spl8_15
| ~ spl8_42 ),
inference(forward_demodulation,[],[f18821,f2041]) ).
fof(f2041,plain,
( ! [X6,X5] : multiplication(sK3,addition(X6,X5)) = multiplication(sK3,addition(X5,X6))
| ~ spl8_15 ),
inference(forward_demodulation,[],[f2040,f1283]) ).
fof(f1283,plain,
( ! [X1] : multiplication(sK3,addition(c(sK3),X1)) = multiplication(sK3,X1)
| ~ spl8_15 ),
inference(backward_demodulation,[],[f245,f734]) ).
fof(f734,plain,
( ! [X2] : multiplication(sK3,X2) = addition(zero,multiplication(sK3,X2))
| ~ spl8_15 ),
inference(forward_demodulation,[],[f712,f250]) ).
fof(f712,plain,
( ! [X2] : multiplication(sK3,addition(X2,c(sK3))) = addition(zero,multiplication(sK3,X2))
| ~ spl8_15 ),
inference(superposition,[],[f245,f62]) ).
fof(f245,plain,
( ! [X1] : multiplication(sK3,addition(c(sK3),X1)) = addition(zero,multiplication(sK3,X1))
| ~ spl8_15 ),
inference(superposition,[],[f73,f210]) ).
fof(f2040,plain,
( ! [X6,X5] : multiplication(sK3,addition(X5,X6)) = multiplication(sK3,addition(c(sK3),addition(X6,X5)))
| ~ spl8_15 ),
inference(forward_demodulation,[],[f2012,f71]) ).
fof(f2012,plain,
( ! [X6,X5] : multiplication(sK3,addition(X5,X6)) = multiplication(sK3,addition(addition(c(sK3),X6),X5))
| ~ spl8_15 ),
inference(superposition,[],[f462,f62]) ).
fof(f462,plain,
( ! [X8,X9] : multiplication(sK3,addition(X8,X9)) = multiplication(sK3,addition(X8,addition(c(sK3),X9)))
| ~ spl8_15 ),
inference(forward_demodulation,[],[f461,f71]) ).
fof(f461,plain,
( ! [X8,X9] : multiplication(sK3,addition(addition(X8,c(sK3)),X9)) = multiplication(sK3,addition(X8,X9))
| ~ spl8_15 ),
inference(forward_demodulation,[],[f455,f73]) ).
fof(f455,plain,
( ! [X8,X9] : multiplication(sK3,addition(addition(X8,c(sK3)),X9)) = addition(multiplication(sK3,X8),multiplication(sK3,X9))
| ~ spl8_15 ),
inference(superposition,[],[f73,f250]) ).
fof(f18821,plain,
( addition(sF7,sK3) = multiplication(sK3,addition(sF7,one))
| ~ spl8_42 ),
inference(superposition,[],[f2620,f56]) ).
fof(f56,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.GnxuypQ7Wh/Vampire---4.8_24862',multiplicative_right_identity) ).
fof(f21839,plain,
( spl8_61
| ~ spl8_15
| ~ spl8_42 ),
inference(avatar_split_clause,[],[f18871,f2575,f209,f21837]) ).
fof(f18871,plain,
( addition(sF6,sF7) = multiplication(sK3,addition(sK0,sF7))
| ~ spl8_15
| ~ spl8_42 ),
inference(forward_demodulation,[],[f18870,f62]) ).
fof(f18870,plain,
( addition(sF7,sF6) = multiplication(sK3,addition(sK0,sF7))
| ~ spl8_15
| ~ spl8_42 ),
inference(forward_demodulation,[],[f18815,f2041]) ).
fof(f18815,plain,
( addition(sF7,sF6) = multiplication(sK3,addition(sF7,sK0))
| ~ spl8_42 ),
inference(superposition,[],[f2620,f82]) ).
fof(f20914,plain,
( ~ spl8_59
| spl8_60
| ~ spl8_2
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f19201,f167,f93,f20912,f20909]) ).
fof(f20909,plain,
( spl8_59
<=> sK2 = addition(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_59])]) ).
fof(f20912,plain,
( spl8_60
<=> sK0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_60])]) ).
fof(f19201,plain,
( sK0 = sK1
| sK2 != addition(sK1,sK2)
| ~ spl8_2
| ~ spl8_8 ),
inference(forward_demodulation,[],[f19200,f168]) ).
fof(f19200,plain,
( sK0 = addition(sK0,sK1)
| sK2 != addition(sK1,sK2)
| ~ spl8_2
| ~ spl8_8 ),
inference(forward_demodulation,[],[f19199,f389]) ).
fof(f19199,plain,
( sK2 != addition(sK1,sK2)
| sK0 = addition(sK0,addition(sK0,sK1))
| ~ spl8_2
| ~ spl8_8 ),
inference(trivial_inequality_removal,[],[f19198]) ).
fof(f19198,plain,
( sK1 != sK1
| sK2 != addition(sK1,sK2)
| sK0 = addition(sK0,addition(sK0,sK1))
| ~ spl8_2
| ~ spl8_8 ),
inference(forward_demodulation,[],[f19197,f58]) ).
fof(f19197,plain,
( sK1 != addition(sK1,sK1)
| sK2 != addition(sK1,sK2)
| sK0 = addition(sK0,addition(sK0,sK1))
| ~ spl8_2
| ~ spl8_8 ),
inference(forward_demodulation,[],[f19160,f168]) ).
fof(f19160,plain,
( sK2 != addition(sK1,sK2)
| sK1 != addition(sK1,addition(sK0,sK1))
| sK0 = addition(sK0,addition(sK0,sK1))
| ~ spl8_2
| ~ spl8_8 ),
inference(superposition,[],[f2643,f192]) ).
fof(f19218,plain,
( spl8_58
| ~ spl8_15
| ~ spl8_42 ),
inference(avatar_split_clause,[],[f18873,f2575,f209,f19216]) ).
fof(f18873,plain,
( sF7 = multiplication(sK3,addition(sK1,sF7))
| ~ spl8_15
| ~ spl8_42 ),
inference(forward_demodulation,[],[f18872,f58]) ).
fof(f18872,plain,
( addition(sF7,sF7) = multiplication(sK3,addition(sK1,sF7))
| ~ spl8_15
| ~ spl8_42 ),
inference(forward_demodulation,[],[f18816,f2041]) ).
fof(f18816,plain,
( addition(sF7,sF7) = multiplication(sK3,addition(sF7,sK1))
| ~ spl8_42 ),
inference(superposition,[],[f2620,f83]) ).
fof(f17772,plain,
( spl8_57
| ~ spl8_41
| ~ spl8_53 ),
inference(avatar_split_clause,[],[f13358,f13133,f2464,f17770]) ).
fof(f17770,plain,
( spl8_57
<=> sF6 = multiplication(sK3,addition(sF6,addition(sK0,sF6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_57])]) ).
fof(f13133,plain,
( spl8_53
<=> sF6 = multiplication(sK3,addition(sK0,sF6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_53])]) ).
fof(f13358,plain,
( sF6 = multiplication(sK3,addition(sF6,addition(sK0,sF6)))
| ~ spl8_41
| ~ spl8_53 ),
inference(forward_demodulation,[],[f13344,f58]) ).
fof(f13344,plain,
( addition(sF6,sF6) = multiplication(sK3,addition(sF6,addition(sK0,sF6)))
| ~ spl8_41
| ~ spl8_53 ),
inference(superposition,[],[f2596,f13134]) ).
fof(f13134,plain,
( sF6 = multiplication(sK3,addition(sK0,sF6))
| ~ spl8_53 ),
inference(avatar_component_clause,[],[f13133]) ).
fof(f16486,plain,
( spl8_56
| ~ spl8_15
| ~ spl8_41 ),
inference(avatar_split_clause,[],[f12913,f2464,f209,f16484]) ).
fof(f16484,plain,
( spl8_56
<=> addition(sK3,sF6) = multiplication(sK3,addition(one,sF6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_56])]) ).
fof(f12913,plain,
( addition(sK3,sF6) = multiplication(sK3,addition(one,sF6))
| ~ spl8_15
| ~ spl8_41 ),
inference(forward_demodulation,[],[f12912,f62]) ).
fof(f12912,plain,
( addition(sF6,sK3) = multiplication(sK3,addition(one,sF6))
| ~ spl8_15
| ~ spl8_41 ),
inference(forward_demodulation,[],[f12863,f2041]) ).
fof(f12863,plain,
( addition(sF6,sK3) = multiplication(sK3,addition(sF6,one))
| ~ spl8_41 ),
inference(superposition,[],[f2596,f56]) ).
fof(f15717,plain,
( spl8_55
| ~ spl8_15
| ~ spl8_41 ),
inference(avatar_split_clause,[],[f12904,f2464,f209,f15715]) ).
fof(f12904,plain,
( addition(sF6,sF7) = multiplication(sK3,addition(sK1,sF6))
| ~ spl8_15
| ~ spl8_41 ),
inference(forward_demodulation,[],[f12858,f2041]) ).
fof(f12858,plain,
( addition(sF6,sF7) = multiplication(sK3,addition(sF6,sK1))
| ~ spl8_41 ),
inference(superposition,[],[f2596,f83]) ).
fof(f14803,plain,
( spl8_54
| ~ spl8_41
| ~ spl8_42 ),
inference(avatar_split_clause,[],[f12861,f2575,f2464,f14801]) ).
fof(f14801,plain,
( spl8_54
<=> addition(sF6,sF7) = multiplication(sK3,addition(sF6,sF7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_54])]) ).
fof(f12861,plain,
( addition(sF6,sF7) = multiplication(sK3,addition(sF6,sF7))
| ~ spl8_41
| ~ spl8_42 ),
inference(superposition,[],[f2596,f2576]) ).
fof(f13135,plain,
( spl8_53
| ~ spl8_15
| ~ spl8_41 ),
inference(avatar_split_clause,[],[f12903,f2464,f209,f13133]) ).
fof(f12903,plain,
( sF6 = multiplication(sK3,addition(sK0,sF6))
| ~ spl8_15
| ~ spl8_41 ),
inference(forward_demodulation,[],[f12902,f58]) ).
fof(f12902,plain,
( addition(sF6,sF6) = multiplication(sK3,addition(sK0,sF6))
| ~ spl8_15
| ~ spl8_41 ),
inference(forward_demodulation,[],[f12857,f2041]) ).
fof(f12857,plain,
( addition(sF6,sF6) = multiplication(sK3,addition(sF6,sK0))
| ~ spl8_41 ),
inference(superposition,[],[f2596,f82]) ).
fof(f9061,plain,
( spl8_52
| ~ spl8_15
| ~ spl8_16
| ~ spl8_50 ),
inference(avatar_split_clause,[],[f6009,f5251,f213,f209,f9059]) ).
fof(f9059,plain,
( spl8_52
<=> addition(sK3,sF7) = multiplication(sK3,addition(one,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_52])]) ).
fof(f5251,plain,
( spl8_50
<=> addition(sK3,sF7) = multiplication(sK3,addition(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_50])]) ).
fof(f6009,plain,
( addition(sK3,sF7) = multiplication(sK3,addition(one,sK1))
| ~ spl8_15
| ~ spl8_16
| ~ spl8_50 ),
inference(backward_demodulation,[],[f5252,f1918]) ).
fof(f1918,plain,
( ! [X12] : multiplication(sK3,addition(sK3,X12)) = multiplication(sK3,addition(one,X12))
| ~ spl8_15
| ~ spl8_16 ),
inference(superposition,[],[f444,f471]) ).
fof(f444,plain,
( ! [X4,X5] : multiplication(sK3,addition(X4,X5)) = multiplication(sK3,addition(X4,addition(X5,c(sK3))))
| ~ spl8_15 ),
inference(superposition,[],[f250,f71]) ).
fof(f5252,plain,
( addition(sK3,sF7) = multiplication(sK3,addition(sK3,sK1))
| ~ spl8_50 ),
inference(avatar_component_clause,[],[f5251]) ).
fof(f8768,plain,
( spl8_51
| ~ spl8_15
| ~ spl8_16
| ~ spl8_49 ),
inference(avatar_split_clause,[],[f6008,f5245,f213,f209,f8766]) ).
fof(f8766,plain,
( spl8_51
<=> addition(sK3,sF6) = multiplication(sK3,addition(one,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_51])]) ).
fof(f5245,plain,
( spl8_49
<=> addition(sK3,sF6) = multiplication(sK3,addition(sK3,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_49])]) ).
fof(f6008,plain,
( addition(sK3,sF6) = multiplication(sK3,addition(one,sK0))
| ~ spl8_15
| ~ spl8_16
| ~ spl8_49 ),
inference(backward_demodulation,[],[f5246,f1918]) ).
fof(f5246,plain,
( addition(sK3,sF6) = multiplication(sK3,addition(sK3,sK0))
| ~ spl8_49 ),
inference(avatar_component_clause,[],[f5245]) ).
fof(f5253,plain,
( spl8_50
| ~ spl8_27 ),
inference(avatar_split_clause,[],[f5129,f1054,f5251]) ).
fof(f5129,plain,
( addition(sK3,sF7) = multiplication(sK3,addition(sK3,sK1))
| ~ spl8_27 ),
inference(superposition,[],[f1066,f83]) ).
fof(f1066,plain,
( ! [X1] : addition(sK3,multiplication(sK3,X1)) = multiplication(sK3,addition(sK3,X1))
| ~ spl8_27 ),
inference(superposition,[],[f73,f1055]) ).
fof(f5247,plain,
( spl8_49
| ~ spl8_27 ),
inference(avatar_split_clause,[],[f5128,f1054,f5245]) ).
fof(f5128,plain,
( addition(sK3,sF6) = multiplication(sK3,addition(sK3,sK0))
| ~ spl8_27 ),
inference(superposition,[],[f1066,f82]) ).
fof(f3051,plain,
( ~ spl8_45
| spl8_46
| ~ spl8_47
| ~ spl8_48
| ~ spl8_1
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f1040,f167,f86,f3049,f3046,f3043,f3040]) ).
fof(f3040,plain,
( spl8_45
<=> one = addition(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_45])]) ).
fof(f3043,plain,
( spl8_46
<=> sK1 = c(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_46])]) ).
fof(f3046,plain,
( spl8_47
<=> zero = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_47])]) ).
fof(f3049,plain,
( spl8_48
<=> zero = multiplication(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_48])]) ).
fof(f86,plain,
( spl8_1
<=> test(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f1040,plain,
( zero != multiplication(sK1,sK3)
| zero != sF7
| sK1 = c(sK3)
| one != addition(sK3,sK1)
| ~ spl8_1
| ~ spl8_8 ),
inference(forward_demodulation,[],[f1039,f168]) ).
fof(f1039,plain,
( zero != sF7
| sK1 = c(sK3)
| one != addition(sK3,sK1)
| zero != multiplication(addition(sK0,sK1),sK3)
| ~ spl8_1
| ~ spl8_8 ),
inference(forward_demodulation,[],[f1038,f83]) ).
fof(f1038,plain,
( zero != multiplication(sK3,sK1)
| sK1 = c(sK3)
| one != addition(sK3,sK1)
| zero != multiplication(addition(sK0,sK1),sK3)
| ~ spl8_1
| ~ spl8_8 ),
inference(forward_demodulation,[],[f1037,f168]) ).
fof(f1037,plain,
( sK1 = c(sK3)
| one != addition(sK3,sK1)
| zero != multiplication(sK3,addition(sK0,sK1))
| zero != multiplication(addition(sK0,sK1),sK3)
| ~ spl8_1
| ~ spl8_8 ),
inference(forward_demodulation,[],[f1036,f168]) ).
fof(f1036,plain,
( one != addition(sK3,sK1)
| c(sK3) = addition(sK0,sK1)
| zero != multiplication(sK3,addition(sK0,sK1))
| zero != multiplication(addition(sK0,sK1),sK3)
| ~ spl8_1
| ~ spl8_8 ),
inference(forward_demodulation,[],[f1021,f62]) ).
fof(f1021,plain,
( one != addition(sK1,sK3)
| c(sK3) = addition(sK0,sK1)
| zero != multiplication(sK3,addition(sK0,sK1))
| zero != multiplication(addition(sK0,sK1),sK3)
| ~ spl8_1
| ~ spl8_8 ),
inference(superposition,[],[f296,f192]) ).
fof(f296,plain,
( ! [X4,X5] :
( one != addition(X4,addition(X5,sK3))
| c(sK3) = addition(X4,X5)
| zero != multiplication(sK3,addition(X4,X5))
| zero != multiplication(addition(X4,X5),sK3) )
| ~ spl8_1 ),
inference(superposition,[],[f155,f71]) ).
fof(f155,plain,
( ! [X0] :
( one != addition(X0,sK3)
| c(sK3) = X0
| zero != multiplication(sK3,X0)
| zero != multiplication(X0,sK3) )
| ~ spl8_1 ),
inference(resolution,[],[f90,f68]) ).
fof(f68,plain,
! [X0,X1] :
( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( complement(X1,X0)
<=> ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] :
( complement(X4,X3)
<=> ( one = addition(X3,X4)
& zero = multiplication(X4,X3)
& zero = multiplication(X3,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GnxuypQ7Wh/Vampire---4.8_24862',test_2) ).
fof(f90,plain,
( ! [X0] :
( ~ complement(sK3,X0)
| c(sK3) = X0 )
| ~ spl8_1 ),
inference(resolution,[],[f87,f64]) ).
fof(f64,plain,
! [X0,X1] :
( c(X0) = X1
| ~ complement(X0,X1)
| ~ test(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3,X4] :
( test(X3)
=> ( c(X3) = X4
<=> complement(X3,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GnxuypQ7Wh/Vampire---4.8_24862',test_3) ).
fof(f87,plain,
( test(sK3)
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f2978,plain,
( ~ spl8_43
| spl8_44
| ~ spl8_2
| ~ spl8_12 ),
inference(avatar_split_clause,[],[f2641,f185,f93,f2976,f2973]) ).
fof(f2973,plain,
( spl8_43
<=> sK1 = addition(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_43])]) ).
fof(f2976,plain,
( spl8_44
<=> sK0 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_44])]) ).
fof(f2641,plain,
( sK0 = sK2
| sK1 != addition(sK1,sK2)
| ~ spl8_2
| ~ spl8_12 ),
inference(forward_demodulation,[],[f2640,f186]) ).
fof(f2640,plain,
( sK0 = addition(sK0,sK2)
| sK1 != addition(sK1,sK2)
| ~ spl8_2 ),
inference(forward_demodulation,[],[f2639,f62]) ).
fof(f2639,plain,
( sK1 != addition(sK1,sK2)
| sK0 = addition(sK2,sK0)
| ~ spl8_2 ),
inference(forward_demodulation,[],[f2638,f62]) ).
fof(f2638,plain,
( sK1 != addition(sK2,sK1)
| sK0 = addition(sK2,sK0)
| ~ spl8_2 ),
inference(trivial_inequality_removal,[],[f2630]) ).
fof(f2630,plain,
( sK2 != sK2
| sK1 != addition(sK2,sK1)
| sK0 = addition(sK2,sK0)
| ~ spl8_2 ),
inference(superposition,[],[f979,f58]) ).
fof(f2577,plain,
( spl8_42
| ~ spl8_27 ),
inference(avatar_split_clause,[],[f2274,f1054,f2575]) ).
fof(f2274,plain,
( sF7 = multiplication(sK3,sF7)
| ~ spl8_27 ),
inference(superposition,[],[f1065,f83]) ).
fof(f2466,plain,
( spl8_41
| ~ spl8_27 ),
inference(avatar_split_clause,[],[f2273,f1054,f2464]) ).
fof(f2273,plain,
( sF6 = multiplication(sK3,sF6)
| ~ spl8_27 ),
inference(superposition,[],[f1065,f82]) ).
fof(f1559,plain,
( spl8_40
| ~ spl8_16
| ~ spl8_28 ),
inference(avatar_split_clause,[],[f1366,f1073,f213,f1557]) ).
fof(f1073,plain,
( spl8_28
<=> one = addition(one,c(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_28])]) ).
fof(f1366,plain,
( one = addition(one,sK3)
| ~ spl8_16
| ~ spl8_28 ),
inference(forward_demodulation,[],[f1365,f62]) ).
fof(f1365,plain,
( one = addition(sK3,one)
| ~ spl8_16
| ~ spl8_28 ),
inference(forward_demodulation,[],[f1353,f58]) ).
fof(f1353,plain,
( addition(sK3,one) = addition(one,one)
| ~ spl8_16
| ~ spl8_28 ),
inference(superposition,[],[f471,f1074]) ).
fof(f1074,plain,
( one = addition(one,c(sK3))
| ~ spl8_28 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1479,plain,
( spl8_39
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f1473,f213,f209,f205,f1477]) ).
fof(f1477,plain,
( spl8_39
<=> c(sK3) = multiplication(c(sK3),c(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_39])]) ).
fof(f1473,plain,
( c(sK3) = multiplication(c(sK3),c(sK3))
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16 ),
inference(forward_demodulation,[],[f1472,f57]) ).
fof(f1472,plain,
( multiplication(one,c(sK3)) = multiplication(c(sK3),c(sK3))
| ~ spl8_14
| ~ spl8_15
| ~ spl8_16 ),
inference(forward_demodulation,[],[f1465,f214]) ).
fof(f1465,plain,
( multiplication(c(sK3),c(sK3)) = multiplication(addition(sK3,c(sK3)),c(sK3))
| ~ spl8_14
| ~ spl8_15 ),
inference(superposition,[],[f1422,f248]) ).
fof(f248,plain,
( ! [X4] : multiplication(addition(sK3,X4),c(sK3)) = addition(zero,multiplication(X4,c(sK3)))
| ~ spl8_15 ),
inference(superposition,[],[f74,f210]) ).
fof(f1374,plain,
( spl8_38
| ~ spl8_15 ),
inference(avatar_split_clause,[],[f1288,f209,f1372]) ).
fof(f1372,plain,
( spl8_38
<=> sF7 = addition(zero,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_38])]) ).
fof(f1288,plain,
( sF7 = addition(zero,sF7)
| ~ spl8_15 ),
inference(superposition,[],[f734,f83]) ).
fof(f1343,plain,
( spl8_37
| ~ spl8_15 ),
inference(avatar_split_clause,[],[f1287,f209,f1341]) ).
fof(f1341,plain,
( spl8_37
<=> sF6 = addition(zero,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_37])]) ).
fof(f1287,plain,
( sF6 = addition(zero,sF6)
| ~ spl8_15 ),
inference(superposition,[],[f734,f82]) ).
fof(f1282,plain,
( spl8_36
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f1245,f205,f1280]) ).
fof(f1280,plain,
( spl8_36
<=> sK3 = addition(zero,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_36])]) ).
fof(f1245,plain,
( sK3 = addition(zero,sK3)
| ~ spl8_14 ),
inference(superposition,[],[f692,f57]) ).
fof(f692,plain,
( ! [X2] : multiplication(X2,sK3) = addition(zero,multiplication(X2,sK3))
| ~ spl8_14 ),
inference(forward_demodulation,[],[f672,f239]) ).
fof(f239,plain,
( ! [X3] : multiplication(addition(X3,c(sK3)),sK3) = multiplication(X3,sK3)
| ~ spl8_14 ),
inference(forward_demodulation,[],[f235,f55]) ).
fof(f235,plain,
( ! [X3] : multiplication(addition(X3,c(sK3)),sK3) = addition(multiplication(X3,sK3),zero)
| ~ spl8_14 ),
inference(superposition,[],[f74,f206]) ).
fof(f672,plain,
( ! [X2] : multiplication(addition(X2,c(sK3)),sK3) = addition(zero,multiplication(X2,sK3))
| ~ spl8_14 ),
inference(superposition,[],[f236,f62]) ).
fof(f236,plain,
( ! [X4] : multiplication(addition(c(sK3),X4),sK3) = addition(zero,multiplication(X4,sK3))
| ~ spl8_14 ),
inference(superposition,[],[f74,f206]) ).
fof(f1184,plain,
( spl8_35
| ~ spl8_7
| ~ spl8_14
| ~ spl8_16
| ~ spl8_17
| ~ spl8_19 ),
inference(avatar_split_clause,[],[f1157,f225,f217,f213,f205,f137,f1182]) ).
fof(f1182,plain,
( spl8_35
<=> complement(c(sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_35])]) ).
fof(f137,plain,
( spl8_7
<=> complement(sK4(sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).
fof(f217,plain,
( spl8_17
<=> zero = multiplication(sK3,sK4(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).
fof(f225,plain,
( spl8_19
<=> one = addition(sK3,sK4(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).
fof(f1157,plain,
( complement(c(sK3),sK3)
| ~ spl8_7
| ~ spl8_14
| ~ spl8_16
| ~ spl8_17
| ~ spl8_19 ),
inference(backward_demodulation,[],[f138,f914]) ).
fof(f914,plain,
( c(sK3) = sK4(sK3)
| ~ spl8_14
| ~ spl8_16
| ~ spl8_17
| ~ spl8_19 ),
inference(forward_demodulation,[],[f913,f56]) ).
fof(f913,plain,
( sK4(sK3) = multiplication(c(sK3),one)
| ~ spl8_14
| ~ spl8_16
| ~ spl8_17
| ~ spl8_19 ),
inference(forward_demodulation,[],[f912,f57]) ).
fof(f912,plain,
( multiplication(c(sK3),one) = multiplication(one,sK4(sK3))
| ~ spl8_14
| ~ spl8_16
| ~ spl8_17
| ~ spl8_19 ),
inference(forward_demodulation,[],[f911,f226]) ).
fof(f226,plain,
( one = addition(sK3,sK4(sK3))
| ~ spl8_19 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f911,plain,
( multiplication(one,sK4(sK3)) = multiplication(c(sK3),addition(sK3,sK4(sK3)))
| ~ spl8_14
| ~ spl8_16
| ~ spl8_17 ),
inference(forward_demodulation,[],[f894,f214]) ).
fof(f894,plain,
( multiplication(c(sK3),addition(sK3,sK4(sK3))) = multiplication(addition(sK3,c(sK3)),sK4(sK3))
| ~ spl8_14
| ~ spl8_17 ),
inference(superposition,[],[f265,f233]) ).
fof(f265,plain,
( ! [X4] : multiplication(addition(sK3,X4),sK4(sK3)) = addition(zero,multiplication(X4,sK4(sK3)))
| ~ spl8_17 ),
inference(superposition,[],[f74,f218]) ).
fof(f218,plain,
( zero = multiplication(sK3,sK4(sK3))
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f138,plain,
( complement(sK4(sK3),sK3)
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f1179,plain,
( spl8_34
| ~ spl8_14
| ~ spl8_16
| ~ spl8_17
| ~ spl8_19 ),
inference(avatar_split_clause,[],[f914,f225,f217,f213,f205,f1177]) ).
fof(f1177,plain,
( spl8_34
<=> c(sK3) = sK4(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_34])]) ).
fof(f1136,plain,
( spl8_32
| ~ spl8_33
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f1005,f86,f1134,f1131]) ).
fof(f1131,plain,
( spl8_32
<=> zero = c(one) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_32])]) ).
fof(f1134,plain,
( spl8_33
<=> one = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_33])]) ).
fof(f1005,plain,
( one != sK3
| zero = c(one)
| ~ spl8_1 ),
inference(inner_rewriting,[],[f1004]) ).
fof(f1004,plain,
( one != sK3
| zero = c(sK3)
| ~ spl8_1 ),
inference(trivial_inequality_removal,[],[f1003]) ).
fof(f1003,plain,
( zero != zero
| one != sK3
| zero = c(sK3)
| ~ spl8_1 ),
inference(forward_demodulation,[],[f1002,f54]) ).
fof(f1002,plain,
( one != sK3
| zero = c(sK3)
| zero != multiplication(zero,sK3)
| ~ spl8_1 ),
inference(trivial_inequality_removal,[],[f1001]) ).
fof(f1001,plain,
( zero != zero
| one != sK3
| zero = c(sK3)
| zero != multiplication(zero,sK3)
| ~ spl8_1 ),
inference(forward_demodulation,[],[f985,f53]) ).
fof(f985,plain,
( one != sK3
| zero = c(sK3)
| zero != multiplication(sK3,zero)
| zero != multiplication(zero,sK3)
| ~ spl8_1 ),
inference(superposition,[],[f294,f55]) ).
fof(f294,plain,
( ! [X2] :
( one != addition(sK3,X2)
| c(sK3) = X2
| zero != multiplication(sK3,X2)
| zero != multiplication(X2,sK3) )
| ~ spl8_1 ),
inference(superposition,[],[f155,f62]) ).
fof(f1129,plain,
( spl8_31
| ~ spl8_18 ),
inference(avatar_split_clause,[],[f945,f221,f1126]) ).
fof(f1126,plain,
( spl8_31
<=> sK4(sK3) = addition(zero,sK4(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_31])]) ).
fof(f221,plain,
( spl8_18
<=> zero = multiplication(sK4(sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
fof(f945,plain,
( sK4(sK3) = addition(zero,sK4(sK3))
| ~ spl8_18 ),
inference(forward_demodulation,[],[f944,f56]) ).
fof(f944,plain,
( multiplication(sK4(sK3),one) = addition(zero,sK4(sK3))
| ~ spl8_18 ),
inference(forward_demodulation,[],[f943,f277]) ).
fof(f277,plain,
( ! [X2] : multiplication(sK4(sK3),addition(X2,sK3)) = multiplication(sK4(sK3),X2)
| ~ spl8_18 ),
inference(forward_demodulation,[],[f273,f55]) ).
fof(f273,plain,
( ! [X2] : multiplication(sK4(sK3),addition(X2,sK3)) = addition(multiplication(sK4(sK3),X2),zero)
| ~ spl8_18 ),
inference(superposition,[],[f73,f222]) ).
fof(f222,plain,
( zero = multiplication(sK4(sK3),sK3)
| ~ spl8_18 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f943,plain,
( addition(zero,sK4(sK3)) = multiplication(sK4(sK3),addition(one,sK3))
| ~ spl8_18 ),
inference(forward_demodulation,[],[f923,f62]) ).
fof(f923,plain,
( addition(zero,sK4(sK3)) = multiplication(sK4(sK3),addition(sK3,one))
| ~ spl8_18 ),
inference(superposition,[],[f272,f56]) ).
fof(f272,plain,
( ! [X1] : multiplication(sK4(sK3),addition(sK3,X1)) = addition(zero,multiplication(sK4(sK3),X1))
| ~ spl8_18 ),
inference(superposition,[],[f73,f222]) ).
fof(f1128,plain,
( spl8_31
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f908,f217,f1126]) ).
fof(f908,plain,
( sK4(sK3) = addition(zero,sK4(sK3))
| ~ spl8_17 ),
inference(forward_demodulation,[],[f907,f57]) ).
fof(f907,plain,
( multiplication(one,sK4(sK3)) = addition(zero,sK4(sK3))
| ~ spl8_17 ),
inference(forward_demodulation,[],[f906,f268]) ).
fof(f268,plain,
( ! [X3] : multiplication(addition(X3,sK3),sK4(sK3)) = multiplication(X3,sK4(sK3))
| ~ spl8_17 ),
inference(forward_demodulation,[],[f264,f55]) ).
fof(f264,plain,
( ! [X3] : multiplication(addition(X3,sK3),sK4(sK3)) = addition(multiplication(X3,sK4(sK3)),zero)
| ~ spl8_17 ),
inference(superposition,[],[f74,f218]) ).
fof(f906,plain,
( addition(zero,sK4(sK3)) = multiplication(addition(one,sK3),sK4(sK3))
| ~ spl8_17 ),
inference(forward_demodulation,[],[f892,f62]) ).
fof(f892,plain,
( multiplication(addition(sK3,one),sK4(sK3)) = addition(zero,sK4(sK3))
| ~ spl8_17 ),
inference(superposition,[],[f265,f57]) ).
fof(f1124,plain,
( spl8_30
| ~ spl8_15 ),
inference(avatar_split_clause,[],[f880,f209,f1121]) ).
fof(f1121,plain,
( spl8_30
<=> c(sK3) = addition(zero,c(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_30])]) ).
fof(f880,plain,
( c(sK3) = addition(zero,c(sK3))
| ~ spl8_15 ),
inference(forward_demodulation,[],[f879,f57]) ).
fof(f879,plain,
( multiplication(one,c(sK3)) = addition(zero,c(sK3))
| ~ spl8_15 ),
inference(forward_demodulation,[],[f878,f251]) ).
fof(f251,plain,
( ! [X3] : multiplication(addition(X3,sK3),c(sK3)) = multiplication(X3,c(sK3))
| ~ spl8_15 ),
inference(forward_demodulation,[],[f247,f55]) ).
fof(f247,plain,
( ! [X3] : multiplication(addition(X3,sK3),c(sK3)) = addition(multiplication(X3,c(sK3)),zero)
| ~ spl8_15 ),
inference(superposition,[],[f74,f210]) ).
fof(f878,plain,
( addition(zero,c(sK3)) = multiplication(addition(one,sK3),c(sK3))
| ~ spl8_15 ),
inference(forward_demodulation,[],[f864,f62]) ).
fof(f864,plain,
( addition(zero,c(sK3)) = multiplication(addition(sK3,one),c(sK3))
| ~ spl8_15 ),
inference(superposition,[],[f248,f57]) ).
fof(f1123,plain,
( spl8_30
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f856,f205,f1121]) ).
fof(f856,plain,
( c(sK3) = addition(zero,c(sK3))
| ~ spl8_14 ),
inference(forward_demodulation,[],[f855,f56]) ).
fof(f855,plain,
( multiplication(c(sK3),one) = addition(zero,c(sK3))
| ~ spl8_14 ),
inference(forward_demodulation,[],[f854,f238]) ).
fof(f854,plain,
( addition(zero,c(sK3)) = multiplication(c(sK3),addition(one,sK3))
| ~ spl8_14 ),
inference(forward_demodulation,[],[f837,f62]) ).
fof(f837,plain,
( multiplication(c(sK3),addition(sK3,one)) = addition(zero,c(sK3))
| ~ spl8_14 ),
inference(superposition,[],[f233,f56]) ).
fof(f1079,plain,
( spl8_29
| ~ spl8_19 ),
inference(avatar_split_clause,[],[f559,f225,f1077]) ).
fof(f1077,plain,
( spl8_29
<=> one = addition(one,sK4(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_29])]) ).
fof(f559,plain,
( one = addition(one,sK4(sK3))
| ~ spl8_19 ),
inference(forward_demodulation,[],[f546,f226]) ).
fof(f546,plain,
( addition(sK3,sK4(sK3)) = addition(one,sK4(sK3))
| ~ spl8_19 ),
inference(superposition,[],[f283,f58]) ).
fof(f283,plain,
( ! [X0] : addition(one,X0) = addition(sK3,addition(sK4(sK3),X0))
| ~ spl8_19 ),
inference(superposition,[],[f71,f226]) ).
fof(f1075,plain,
( spl8_28
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f481,f213,f1073]) ).
fof(f481,plain,
( one = addition(one,c(sK3))
| ~ spl8_16 ),
inference(forward_demodulation,[],[f468,f214]) ).
fof(f468,plain,
( addition(sK3,c(sK3)) = addition(one,c(sK3))
| ~ spl8_16 ),
inference(superposition,[],[f258,f58]) ).
fof(f1056,plain,
( spl8_27
| ~ spl8_14
| ~ spl8_16 ),
inference(avatar_split_clause,[],[f432,f213,f205,f1054]) ).
fof(f432,plain,
( sK3 = multiplication(sK3,sK3)
| ~ spl8_14
| ~ spl8_16 ),
inference(forward_demodulation,[],[f420,f57]) ).
fof(f420,plain,
( multiplication(sK3,sK3) = multiplication(one,sK3)
| ~ spl8_14
| ~ spl8_16 ),
inference(superposition,[],[f239,f214]) ).
fof(f829,plain,
( spl8_26
| ~ spl8_18 ),
inference(avatar_split_clause,[],[f367,f221,f827]) ).
fof(f827,plain,
( spl8_26
<=> zero = multiplication(sK4(sK3),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_26])]) ).
fof(f367,plain,
( zero = multiplication(sK4(sK3),sF7)
| ~ spl8_18 ),
inference(superposition,[],[f276,f83]) ).
fof(f276,plain,
( ! [X0] : zero = multiplication(sK4(sK3),multiplication(sK3,X0))
| ~ spl8_18 ),
inference(forward_demodulation,[],[f271,f54]) ).
fof(f271,plain,
( ! [X0] : multiplication(zero,X0) = multiplication(sK4(sK3),multiplication(sK3,X0))
| ~ spl8_18 ),
inference(superposition,[],[f72,f222]) ).
fof(f665,plain,
( spl8_25
| ~ spl8_18 ),
inference(avatar_split_clause,[],[f366,f221,f663]) ).
fof(f663,plain,
( spl8_25
<=> zero = multiplication(sK4(sK3),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_25])]) ).
fof(f366,plain,
( zero = multiplication(sK4(sK3),sF6)
| ~ spl8_18 ),
inference(superposition,[],[f276,f82]) ).
fof(f571,plain,
( spl8_22
| ~ spl8_23
| ~ spl8_24
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f300,f86,f569,f566,f563]) ).
fof(f563,plain,
( spl8_22
<=> zero = c(zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_22])]) ).
fof(f566,plain,
( spl8_23
<=> zero = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_23])]) ).
fof(f569,plain,
( spl8_24
<=> zero = one ),
introduced(avatar_definition,[new_symbols(naming,[spl8_24])]) ).
fof(f300,plain,
( zero != one
| zero != sK3
| zero = c(zero)
| ~ spl8_1 ),
inference(inner_rewriting,[],[f299]) ).
fof(f299,plain,
( zero != one
| one != sK3
| one = c(one)
| ~ spl8_1 ),
inference(forward_demodulation,[],[f298,f56]) ).
fof(f298,plain,
( one != sK3
| one = c(one)
| zero != multiplication(one,one)
| ~ spl8_1 ),
inference(inner_rewriting,[],[f297]) ).
fof(f297,plain,
( one != sK3
| sK3 = c(sK3)
| zero != multiplication(sK3,sK3)
| ~ spl8_1 ),
inference(duplicate_literal_removal,[],[f291]) ).
fof(f291,plain,
( one != sK3
| sK3 = c(sK3)
| zero != multiplication(sK3,sK3)
| zero != multiplication(sK3,sK3)
| ~ spl8_1 ),
inference(superposition,[],[f155,f58]) ).
fof(f400,plain,
( spl8_21
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f305,f205,f398]) ).
fof(f305,plain,
( zero = multiplication(c(sK3),sF7)
| ~ spl8_14 ),
inference(superposition,[],[f237,f83]) ).
fof(f325,plain,
( spl8_20
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f304,f205,f323]) ).
fof(f323,plain,
( spl8_20
<=> zero = multiplication(c(sK3),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).
fof(f304,plain,
( zero = multiplication(c(sK3),sF6)
| ~ spl8_14 ),
inference(superposition,[],[f237,f82]) ).
fof(f227,plain,
( spl8_19
| ~ spl8_7 ),
inference(avatar_split_clause,[],[f150,f137,f225]) ).
fof(f150,plain,
( one = addition(sK3,sK4(sK3))
| ~ spl8_7 ),
inference(resolution,[],[f138,f67]) ).
fof(f67,plain,
! [X0,X1] :
( addition(X0,X1) = one
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f223,plain,
( spl8_18
| ~ spl8_7 ),
inference(avatar_split_clause,[],[f149,f137,f221]) ).
fof(f149,plain,
( zero = multiplication(sK4(sK3),sK3)
| ~ spl8_7 ),
inference(resolution,[],[f138,f66]) ).
fof(f66,plain,
! [X0,X1] :
( zero = multiplication(X1,X0)
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f219,plain,
( spl8_17
| ~ spl8_7 ),
inference(avatar_split_clause,[],[f148,f137,f217]) ).
fof(f148,plain,
( zero = multiplication(sK3,sK4(sK3))
| ~ spl8_7 ),
inference(resolution,[],[f138,f65]) ).
fof(f65,plain,
! [X0,X1] :
( zero = multiplication(X0,X1)
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f215,plain,
( spl8_16
| ~ spl8_6 ),
inference(avatar_split_clause,[],[f147,f133,f213]) ).
fof(f133,plain,
( spl8_6
<=> complement(sK3,c(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).
fof(f147,plain,
( one = addition(sK3,c(sK3))
| ~ spl8_6 ),
inference(forward_demodulation,[],[f142,f62]) ).
fof(f142,plain,
( one = addition(c(sK3),sK3)
| ~ spl8_6 ),
inference(resolution,[],[f134,f67]) ).
fof(f134,plain,
( complement(sK3,c(sK3))
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f211,plain,
( spl8_15
| ~ spl8_6 ),
inference(avatar_split_clause,[],[f141,f133,f209]) ).
fof(f141,plain,
( zero = multiplication(sK3,c(sK3))
| ~ spl8_6 ),
inference(resolution,[],[f134,f66]) ).
fof(f207,plain,
( spl8_14
| ~ spl8_6 ),
inference(avatar_split_clause,[],[f140,f133,f205]) ).
fof(f140,plain,
( zero = multiplication(c(sK3),sK3)
| ~ spl8_6 ),
inference(resolution,[],[f134,f65]) ).
fof(f196,plain,
( ~ spl8_13
| spl8_9 ),
inference(avatar_split_clause,[],[f183,f171,f194]) ).
fof(f183,plain,
( sF7 != addition(sF6,sF7)
| spl8_9 ),
inference(resolution,[],[f172,f70]) ).
fof(f172,plain,
( ~ leq(sF6,sF7)
| spl8_9 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f187,plain,
( spl8_12
| ~ spl8_5 ),
inference(avatar_split_clause,[],[f123,f111,f185]) ).
fof(f111,plain,
( spl8_5
<=> leq(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
fof(f123,plain,
( sK2 = addition(sK0,sK2)
| ~ spl8_5 ),
inference(resolution,[],[f112,f69]) ).
fof(f112,plain,
( leq(sK0,sK2)
| ~ spl8_5 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f179,plain,
( ~ spl8_9
| ~ spl8_10
| spl8_11
| spl8_3 ),
inference(avatar_split_clause,[],[f103,f97,f177,f174,f171]) ).
fof(f103,plain,
( leq(sK5(sF7,sK2,sF6),sF7)
| ~ leq(sF6,sK2)
| ~ leq(sF6,sF7)
| spl8_3 ),
inference(resolution,[],[f98,f78]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ismeet(X2,X0,X1)
| leq(sK5(X0,X1,X2),X0)
| ~ leq(X2,X1)
| ~ leq(X2,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f169,plain,
( spl8_8
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f114,f107,f167]) ).
fof(f107,plain,
( spl8_4
<=> leq(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
fof(f114,plain,
( sK1 = addition(sK0,sK1)
| ~ spl8_4 ),
inference(resolution,[],[f108,f69]) ).
fof(f108,plain,
( leq(sK0,sK1)
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f139,plain,
( spl8_7
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f91,f86,f137]) ).
fof(f91,plain,
( complement(sK4(sK3),sK3)
| ~ spl8_1 ),
inference(resolution,[],[f87,f60]) ).
fof(f60,plain,
! [X0] :
( complement(sK4(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK4(X0),X0)
| ~ test(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f38,f39]) ).
fof(f39,plain,
! [X0] :
( ? [X2] : complement(X2,X0)
=> complement(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] :
( test(X3)
<=> ? [X4] : complement(X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.GnxuypQ7Wh/Vampire---4.8_24862',test_1) ).
fof(f135,plain,
( spl8_6
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f89,f86,f133]) ).
fof(f89,plain,
( complement(sK3,c(sK3))
| ~ spl8_1 ),
inference(resolution,[],[f87,f81]) ).
fof(f81,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f113,plain,
( spl8_5
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f101,f93,f111]) ).
fof(f101,plain,
( leq(sK0,sK2)
| ~ spl8_2 ),
inference(resolution,[],[f94,f76]) ).
fof(f76,plain,
! [X2,X0,X1] :
( leq(X2,X1)
| ~ ismeet(X2,X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f109,plain,
( spl8_4
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f100,f93,f107]) ).
fof(f100,plain,
( leq(sK0,sK1)
| ~ spl8_2 ),
inference(resolution,[],[f94,f75]) ).
fof(f75,plain,
! [X2,X0,X1] :
( leq(X2,X0)
| ~ ismeet(X2,X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f99,plain,
~ spl8_3,
inference(avatar_split_clause,[],[f84,f97]) ).
fof(f84,plain,
~ ismeet(sF6,sF7,sK2),
inference(definition_folding,[],[f52,f83,f82]) ).
fof(f52,plain,
~ ismeet(multiplication(sK3,sK0),multiplication(sK3,sK1),sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ~ ismeet(multiplication(sK3,sK0),multiplication(sK3,sK1),sK2)
& ismeet(sK0,sK1,sK2)
& test(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f30,f35]) ).
fof(f35,plain,
( ? [X0,X1,X2,X3] :
( ~ ismeet(multiplication(X3,X0),multiplication(X3,X1),X2)
& ismeet(X0,X1,X2)
& test(X3) )
=> ( ~ ismeet(multiplication(sK3,sK0),multiplication(sK3,sK1),sK2)
& ismeet(sK0,sK1,sK2)
& test(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0,X1,X2,X3] :
( ~ ismeet(multiplication(X3,X0),multiplication(X3,X1),X2)
& ismeet(X0,X1,X2)
& test(X3) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
? [X0,X1,X2,X3] :
( ~ ismeet(multiplication(X3,X0),multiplication(X3,X1),X2)
& ismeet(X0,X1,X2)
& test(X3) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0,X1,X2,X3] :
( ( ismeet(X0,X1,X2)
& test(X3) )
=> ismeet(multiplication(X3,X0),multiplication(X3,X1),X2) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3,X4,X5,X6] :
( ( ismeet(X3,X4,X5)
& test(X6) )
=> ismeet(multiplication(X6,X3),multiplication(X6,X4),X5) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3,X4,X5,X6] :
( ( ismeet(X3,X4,X5)
& test(X6) )
=> ismeet(multiplication(X6,X3),multiplication(X6,X4),X5) ),
file('/export/starexec/sandbox2/tmp/tmp.GnxuypQ7Wh/Vampire---4.8_24862',goals) ).
fof(f95,plain,
spl8_2,
inference(avatar_split_clause,[],[f51,f93]) ).
fof(f51,plain,
ismeet(sK0,sK1,sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f88,plain,
spl8_1,
inference(avatar_split_clause,[],[f50,f86]) ).
fof(f50,plain,
test(sK3),
inference(cnf_transformation,[],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE030+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 11:17:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.GnxuypQ7Wh/Vampire---4.8_24862
% 0.14/0.36 % (24969)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (24973)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.20/0.42 % (24976)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.20/0.42 % (24972)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.20/0.42 % (24971)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.20/0.42 % (24974)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.20/0.42 % (24970)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.20/0.42 % (24975)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 25.54/3.99 % (24972)First to succeed.
% 25.54/4.01 % (24972)Refutation found. Thanks to Tanya!
% 25.54/4.01 % SZS status Theorem for Vampire---4
% 25.54/4.01 % SZS output start Proof for Vampire---4
% See solution above
% 25.54/4.01 % (24972)------------------------------
% 25.54/4.01 % (24972)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 25.54/4.01 % (24972)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 25.54/4.01 % (24972)Termination reason: Refutation
% 25.54/4.01
% 25.54/4.01 % (24972)Memory used [KB]: 173600
% 25.54/4.01 % (24972)Time elapsed: 3.579 s
% 25.54/4.01 % (24972)------------------------------
% 25.54/4.01 % (24972)------------------------------
% 25.54/4.01 % (24969)Success in time 3.65 s
% 25.54/4.01 % Vampire---4.8 exiting
%------------------------------------------------------------------------------