TSTP Solution File: KLE065+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE065+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Tue Apr 30 13:11:50 EDT 2024
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 73
% Syntax : Number of formulae : 236 ( 58 unt; 0 def)
% Number of atoms : 535 ( 187 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 543 ( 244 ~; 236 |; 4 &)
% ( 55 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 57 ( 55 usr; 56 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 326 ( 322 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2410,plain,
$false,
inference(avatar_sat_refutation,[],[f51,f56,f61,f65,f69,f73,f77,f81,f85,f89,f94,f106,f110,f114,f138,f142,f146,f194,f198,f202,f285,f289,f293,f297,f352,f372,f376,f395,f418,f422,f426,f476,f480,f485,f489,f493,f497,f501,f505,f979,f983,f1069,f1159,f1163,f1167,f1171,f1451,f1494,f1498,f1502,f1506,f2039,f2274,f2280,f2285,f2409]) ).
fof(f2409,plain,
( spl2_2
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f2362,f2283,f67,f58,f48,f53]) ).
fof(f53,plain,
( spl2_2
<=> zero = multiplication(sK0,domain(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f48,plain,
( spl2_1
<=> zero = multiplication(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f58,plain,
( spl2_3
<=> zero = domain(zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f67,plain,
( spl2_5
<=> ! [X0] : zero = multiplication(zero,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f2283,plain,
( spl2_55
<=> ! [X0,X1] : multiplication(X0,domain(X1)) = multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_55])]) ).
fof(f2362,plain,
( zero = multiplication(sK0,domain(sK1))
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_55 ),
inference(forward_demodulation,[],[f2361,f68]) ).
fof(f68,plain,
( ! [X0] : zero = multiplication(zero,X0)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f2361,plain,
( multiplication(sK0,domain(sK1)) = multiplication(zero,multiplication(sK0,domain(sK1)))
| ~ spl2_1
| ~ spl2_3
| ~ spl2_55 ),
inference(forward_demodulation,[],[f2298,f60]) ).
fof(f60,plain,
( zero = domain(zero)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f2298,plain,
( multiplication(sK0,domain(sK1)) = multiplication(domain(zero),multiplication(sK0,domain(sK1)))
| ~ spl2_1
| ~ spl2_55 ),
inference(superposition,[],[f2284,f50]) ).
fof(f50,plain,
( zero = multiplication(sK0,sK1)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f2284,plain,
( ! [X0,X1] : multiplication(X0,domain(X1)) = multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1)))
| ~ spl2_55 ),
inference(avatar_component_clause,[],[f2283]) ).
fof(f2285,plain,
( spl2_55
| ~ spl2_8
| ~ spl2_26
| ~ spl2_37
| ~ spl2_54 ),
inference(avatar_split_clause,[],[f2281,f2278,f495,f370,f79,f2283]) ).
fof(f79,plain,
( spl2_8
<=> ! [X0] : multiplication(one,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f370,plain,
( spl2_26
<=> ! [X0] : one = addition(one,domain(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).
fof(f495,plain,
( spl2_37
<=> ! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).
fof(f2278,plain,
( spl2_54
<=> ! [X0,X1] : multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))) = addition(multiplication(X0,domain(X1)),multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_54])]) ).
fof(f2281,plain,
( ! [X0,X1] : multiplication(X0,domain(X1)) = multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1)))
| ~ spl2_8
| ~ spl2_26
| ~ spl2_37
| ~ spl2_54 ),
inference(forward_demodulation,[],[f2279,f858]) ).
fof(f858,plain,
( ! [X0,X1] : addition(X1,multiplication(domain(X0),X1)) = X1
| ~ spl2_8
| ~ spl2_26
| ~ spl2_37 ),
inference(forward_demodulation,[],[f812,f80]) ).
fof(f80,plain,
( ! [X0] : multiplication(one,X0) = X0
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f812,plain,
( ! [X0,X1] : multiplication(one,X1) = addition(X1,multiplication(domain(X0),X1))
| ~ spl2_26
| ~ spl2_37 ),
inference(superposition,[],[f496,f371]) ).
fof(f371,plain,
( ! [X0] : one = addition(one,domain(X0))
| ~ spl2_26 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f496,plain,
( ! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0))
| ~ spl2_37 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f2279,plain,
( ! [X0,X1] : multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))) = addition(multiplication(X0,domain(X1)),multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))))
| ~ spl2_54 ),
inference(avatar_component_clause,[],[f2278]) ).
fof(f2280,plain,
( spl2_54
| ~ spl2_14
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f148,f136,f112,f2278]) ).
fof(f112,plain,
( spl2_14
<=> ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f136,plain,
( spl2_15
<=> ! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f148,plain,
( ! [X0,X1] : multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))) = addition(multiplication(X0,domain(X1)),multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))))
| ~ spl2_14
| ~ spl2_15 ),
inference(superposition,[],[f137,f113]) ).
fof(f113,plain,
( ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1)))
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f137,plain,
( ! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0))
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f2274,plain,
( spl2_53
| ~ spl2_15
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f164,f140,f136,f2272]) ).
fof(f2272,plain,
( spl2_53
<=> ! [X0,X1] : multiplication(domain(addition(X0,X1)),addition(X0,X1)) = addition(X0,addition(X1,multiplication(domain(addition(X0,X1)),addition(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_53])]) ).
fof(f140,plain,
( spl2_16
<=> ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
fof(f164,plain,
( ! [X0,X1] : multiplication(domain(addition(X0,X1)),addition(X0,X1)) = addition(X0,addition(X1,multiplication(domain(addition(X0,X1)),addition(X0,X1))))
| ~ spl2_15
| ~ spl2_16 ),
inference(superposition,[],[f141,f137]) ).
fof(f141,plain,
( ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0)
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f2039,plain,
( spl2_52
| ~ spl2_17
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f226,f192,f144,f2037]) ).
fof(f2037,plain,
( spl2_52
<=> ! [X0,X3,X2,X1] : addition(multiplication(X0,multiplication(X1,X2)),multiplication(X0,multiplication(X1,X3))) = multiplication(X0,multiplication(X1,addition(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_52])]) ).
fof(f144,plain,
( spl2_17
<=> ! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).
fof(f192,plain,
( spl2_18
<=> ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).
fof(f226,plain,
( ! [X2,X3,X0,X1] : addition(multiplication(X0,multiplication(X1,X2)),multiplication(X0,multiplication(X1,X3))) = multiplication(X0,multiplication(X1,addition(X2,X3)))
| ~ spl2_17
| ~ spl2_18 ),
inference(forward_demodulation,[],[f225,f145]) ).
fof(f145,plain,
( ! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2)
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f225,plain,
( ! [X2,X3,X0,X1] : multiplication(multiplication(X0,X1),addition(X2,X3)) = addition(multiplication(X0,multiplication(X1,X2)),multiplication(X0,multiplication(X1,X3)))
| ~ spl2_17
| ~ spl2_18 ),
inference(forward_demodulation,[],[f206,f145]) ).
fof(f206,plain,
( ! [X2,X3,X0,X1] : multiplication(multiplication(X0,X1),addition(X2,X3)) = addition(multiplication(X0,multiplication(X1,X2)),multiplication(multiplication(X0,X1),X3))
| ~ spl2_17
| ~ spl2_18 ),
inference(superposition,[],[f193,f145]) ).
fof(f193,plain,
( ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2))
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f1506,plain,
( spl2_51
| ~ spl2_16
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f254,f200,f140,f1504]) ).
fof(f1504,plain,
( spl2_51
<=> ! [X0,X3,X2,X1] : addition(multiplication(X0,X1),addition(multiplication(X2,X1),X3)) = addition(multiplication(addition(X0,X2),X1),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_51])]) ).
fof(f200,plain,
( spl2_20
<=> ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).
fof(f254,plain,
( ! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X2,X1),X3)) = addition(multiplication(addition(X0,X2),X1),X3)
| ~ spl2_16
| ~ spl2_20 ),
inference(superposition,[],[f141,f201]) ).
fof(f201,plain,
( ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2))
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f1502,plain,
( spl2_50
| ~ spl2_17
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f245,f200,f144,f1500]) ).
fof(f1500,plain,
( spl2_50
<=> ! [X0,X3,X2,X1] : multiplication(addition(X3,multiplication(X0,X1)),X2) = addition(multiplication(X3,X2),multiplication(X0,multiplication(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_50])]) ).
fof(f245,plain,
( ! [X2,X3,X0,X1] : multiplication(addition(X3,multiplication(X0,X1)),X2) = addition(multiplication(X3,X2),multiplication(X0,multiplication(X1,X2)))
| ~ spl2_17
| ~ spl2_20 ),
inference(superposition,[],[f201,f145]) ).
fof(f1498,plain,
( spl2_49
| ~ spl2_17
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f239,f200,f144,f1496]) ).
fof(f1496,plain,
( spl2_49
<=> ! [X0,X3,X2,X1] : multiplication(addition(multiplication(X0,X1),X3),X2) = addition(multiplication(X0,multiplication(X1,X2)),multiplication(X3,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_49])]) ).
fof(f239,plain,
( ! [X2,X3,X0,X1] : multiplication(addition(multiplication(X0,X1),X3),X2) = addition(multiplication(X0,multiplication(X1,X2)),multiplication(X3,X2))
| ~ spl2_17
| ~ spl2_20 ),
inference(superposition,[],[f201,f145]) ).
fof(f1494,plain,
( spl2_48
| ~ spl2_16
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f219,f192,f140,f1492]) ).
fof(f1492,plain,
( spl2_48
<=> ! [X0,X3,X2,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_48])]) ).
fof(f219,plain,
( ! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3)
| ~ spl2_16
| ~ spl2_18 ),
inference(superposition,[],[f141,f193]) ).
fof(f1451,plain,
( spl2_47
| ~ spl2_15
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f156,f140,f136,f1449]) ).
fof(f1449,plain,
( spl2_47
<=> ! [X0,X1] : addition(multiplication(domain(X0),X0),X1) = addition(X0,addition(multiplication(domain(X0),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_47])]) ).
fof(f156,plain,
( ! [X0,X1] : addition(multiplication(domain(X0),X0),X1) = addition(X0,addition(multiplication(domain(X0),X0),X1))
| ~ spl2_15
| ~ spl2_16 ),
inference(superposition,[],[f141,f137]) ).
fof(f1171,plain,
( spl2_46
| ~ spl2_12
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f158,f140,f104,f1169]) ).
fof(f1169,plain,
( spl2_46
<=> ! [X2,X0,X1] : addition(domain(X0),addition(domain(X1),X2)) = addition(domain(addition(X0,X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_46])]) ).
fof(f104,plain,
( spl2_12
<=> ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f158,plain,
( ! [X2,X0,X1] : addition(domain(X0),addition(domain(X1),X2)) = addition(domain(addition(X0,X1)),X2)
| ~ spl2_12
| ~ spl2_16 ),
inference(superposition,[],[f141,f105]) ).
fof(f105,plain,
( ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1))
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f1167,plain,
( spl2_45
| ~ spl2_12
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f134,f112,f104,f1165]) ).
fof(f1165,plain,
( spl2_45
<=> ! [X2,X0,X1] : domain(addition(multiplication(X0,domain(X1)),X2)) = domain(addition(multiplication(X0,X1),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_45])]) ).
fof(f134,plain,
( ! [X2,X0,X1] : domain(addition(multiplication(X0,domain(X1)),X2)) = domain(addition(multiplication(X0,X1),X2))
| ~ spl2_12
| ~ spl2_14 ),
inference(forward_demodulation,[],[f129,f105]) ).
fof(f129,plain,
( ! [X2,X0,X1] : domain(addition(multiplication(X0,domain(X1)),X2)) = addition(domain(multiplication(X0,X1)),domain(X2))
| ~ spl2_12
| ~ spl2_14 ),
inference(superposition,[],[f105,f113]) ).
fof(f1163,plain,
( spl2_44
| ~ spl2_12
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f133,f112,f104,f1161]) ).
fof(f1161,plain,
( spl2_44
<=> ! [X2,X0,X1] : domain(addition(X2,multiplication(X0,domain(X1)))) = domain(addition(X2,multiplication(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_44])]) ).
fof(f133,plain,
( ! [X2,X0,X1] : domain(addition(X2,multiplication(X0,domain(X1)))) = domain(addition(X2,multiplication(X0,X1)))
| ~ spl2_12
| ~ spl2_14 ),
inference(forward_demodulation,[],[f128,f105]) ).
fof(f128,plain,
( ! [X2,X0,X1] : domain(addition(X2,multiplication(X0,domain(X1)))) = addition(domain(X2),domain(multiplication(X0,X1)))
| ~ spl2_12
| ~ spl2_14 ),
inference(superposition,[],[f105,f113]) ).
fof(f1159,plain,
( spl2_43
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f131,f112,f1157]) ).
fof(f1157,plain,
( spl2_43
<=> ! [X2,X0,X1] : domain(multiplication(X2,multiplication(X0,domain(X1)))) = domain(multiplication(X2,multiplication(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_43])]) ).
fof(f131,plain,
( ! [X2,X0,X1] : domain(multiplication(X2,multiplication(X0,domain(X1)))) = domain(multiplication(X2,multiplication(X0,X1)))
| ~ spl2_14 ),
inference(forward_demodulation,[],[f125,f113]) ).
fof(f125,plain,
( ! [X2,X0,X1] : domain(multiplication(X2,multiplication(X0,domain(X1)))) = domain(multiplication(X2,domain(multiplication(X0,X1))))
| ~ spl2_14 ),
inference(superposition,[],[f113,f113]) ).
fof(f1069,plain,
( spl2_42
| ~ spl2_19
| ~ spl2_35 ),
inference(avatar_split_clause,[],[f697,f487,f196,f1067]) ).
fof(f1067,plain,
( spl2_42
<=> ! [X0] : zero = multiplication(sK0,addition(sK1,multiplication(sK1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_42])]) ).
fof(f196,plain,
( spl2_19
<=> ! [X0] : zero = multiplication(sK0,multiplication(sK1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).
fof(f487,plain,
( spl2_35
<=> ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_35])]) ).
fof(f697,plain,
( ! [X0] : zero = multiplication(sK0,addition(sK1,multiplication(sK1,X0)))
| ~ spl2_19
| ~ spl2_35 ),
inference(superposition,[],[f197,f488]) ).
fof(f488,plain,
( ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1))
| ~ spl2_35 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f197,plain,
( ! [X0] : zero = multiplication(sK0,multiplication(sK1,X0))
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f983,plain,
( spl2_41
| ~ spl2_11
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f250,f200,f92,f981]) ).
fof(f981,plain,
( spl2_41
<=> ! [X2,X0,X1] : multiplication(addition(X0,X2),X1) = addition(multiplication(X2,X1),multiplication(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_41])]) ).
fof(f92,plain,
( spl2_11
<=> ! [X0,X1] : addition(X0,X1) = addition(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f250,plain,
( ! [X2,X0,X1] : multiplication(addition(X0,X2),X1) = addition(multiplication(X2,X1),multiplication(X0,X1))
| ~ spl2_11
| ~ spl2_20 ),
inference(superposition,[],[f201,f93]) ).
fof(f93,plain,
( ! [X0,X1] : addition(X0,X1) = addition(X1,X0)
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f979,plain,
( spl2_40
| ~ spl2_11
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f216,f192,f92,f977]) ).
fof(f977,plain,
( spl2_40
<=> ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_40])]) ).
fof(f216,plain,
( ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1))
| ~ spl2_11
| ~ spl2_18 ),
inference(superposition,[],[f193,f93]) ).
fof(f505,plain,
( spl2_39
| ~ spl2_8
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f246,f200,f79,f503]) ).
fof(f503,plain,
( spl2_39
<=> ! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_39])]) ).
fof(f246,plain,
( ! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0)
| ~ spl2_8
| ~ spl2_20 ),
inference(superposition,[],[f201,f80]) ).
fof(f501,plain,
( spl2_38
| ~ spl2_13
| ~ spl2_18
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f279,f196,f192,f108,f499]) ).
fof(f499,plain,
( spl2_38
<=> ! [X0,X1] : multiplication(sK0,X1) = multiplication(sK0,addition(multiplication(sK1,X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_38])]) ).
fof(f108,plain,
( spl2_13
<=> ! [X0] : addition(zero,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f279,plain,
( ! [X0,X1] : multiplication(sK0,X1) = multiplication(sK0,addition(multiplication(sK1,X0),X1))
| ~ spl2_13
| ~ spl2_18
| ~ spl2_19 ),
inference(forward_demodulation,[],[f274,f109]) ).
fof(f109,plain,
( ! [X0] : addition(zero,X0) = X0
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f274,plain,
( ! [X0,X1] : multiplication(sK0,addition(multiplication(sK1,X0),X1)) = addition(zero,multiplication(sK0,X1))
| ~ spl2_18
| ~ spl2_19 ),
inference(superposition,[],[f193,f197]) ).
fof(f497,plain,
( spl2_37
| ~ spl2_8
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f240,f200,f79,f495]) ).
fof(f240,plain,
( ! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0))
| ~ spl2_8
| ~ spl2_20 ),
inference(superposition,[],[f201,f80]) ).
fof(f493,plain,
( spl2_36
| ~ spl2_7
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f210,f192,f75,f491]) ).
fof(f491,plain,
( spl2_36
<=> ! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_36])]) ).
fof(f75,plain,
( spl2_7
<=> ! [X0] : multiplication(X0,one) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f210,plain,
( ! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0)
| ~ spl2_7
| ~ spl2_18 ),
inference(superposition,[],[f193,f76]) ).
fof(f76,plain,
( ! [X0] : multiplication(X0,one) = X0
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f489,plain,
( spl2_35
| ~ spl2_7
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f204,f192,f75,f487]) ).
fof(f204,plain,
( ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1))
| ~ spl2_7
| ~ spl2_18 ),
inference(superposition,[],[f193,f76]) ).
fof(f485,plain,
( spl2_34
| ~ spl2_11
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f161,f140,f92,f483]) ).
fof(f483,plain,
( spl2_34
<=> ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_34])]) ).
fof(f161,plain,
( ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1))
| ~ spl2_11
| ~ spl2_16 ),
inference(superposition,[],[f141,f93]) ).
fof(f480,plain,
( spl2_33
| ~ spl2_9
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f160,f140,f83,f478]) ).
fof(f478,plain,
( spl2_33
<=> ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).
fof(f83,plain,
( spl2_9
<=> ! [X0] : addition(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f160,plain,
( ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1)))
| ~ spl2_9
| ~ spl2_16 ),
inference(superposition,[],[f141,f84]) ).
fof(f84,plain,
( ! [X0] : addition(X0,X0) = X0
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f476,plain,
( spl2_32
| ~ spl2_11
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f153,f140,f92,f474]) ).
fof(f474,plain,
( spl2_32
<=> ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).
fof(f153,plain,
( ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2)
| ~ spl2_11
| ~ spl2_16 ),
inference(superposition,[],[f141,f93]) ).
fof(f426,plain,
( spl2_31
| ~ spl2_10
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f157,f140,f87,f424]) ).
fof(f424,plain,
( spl2_31
<=> ! [X0,X1] : addition(one,X1) = addition(domain(X0),addition(one,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).
fof(f87,plain,
( spl2_10
<=> ! [X0] : one = addition(domain(X0),one) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f157,plain,
( ! [X0,X1] : addition(one,X1) = addition(domain(X0),addition(one,X1))
| ~ spl2_10
| ~ spl2_16 ),
inference(superposition,[],[f141,f88]) ).
fof(f88,plain,
( ! [X0] : one = addition(domain(X0),one)
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f422,plain,
( spl2_30
| ~ spl2_11
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f118,f104,f92,f420]) ).
fof(f420,plain,
( spl2_30
<=> ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X1),domain(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).
fof(f118,plain,
( ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X1),domain(X0))
| ~ spl2_11
| ~ spl2_12 ),
inference(superposition,[],[f105,f93]) ).
fof(f418,plain,
( spl2_29
| ~ spl2_6
| ~ spl2_18
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f278,f196,f192,f71,f416]) ).
fof(f416,plain,
( spl2_29
<=> ! [X0,X1] : multiplication(sK0,addition(X1,multiplication(sK1,X0))) = multiplication(sK0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).
fof(f71,plain,
( spl2_6
<=> ! [X0] : addition(X0,zero) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f278,plain,
( ! [X0,X1] : multiplication(sK0,addition(X1,multiplication(sK1,X0))) = multiplication(sK0,X1)
| ~ spl2_6
| ~ spl2_18
| ~ spl2_19 ),
inference(forward_demodulation,[],[f273,f72]) ).
fof(f72,plain,
( ! [X0] : addition(X0,zero) = X0
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f273,plain,
( ! [X0,X1] : multiplication(sK0,addition(X1,multiplication(sK1,X0))) = addition(multiplication(sK0,X1),zero)
| ~ spl2_18
| ~ spl2_19 ),
inference(superposition,[],[f193,f197]) ).
fof(f395,plain,
( spl2_28
| ~ spl2_9
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f152,f140,f83,f393]) ).
fof(f393,plain,
( spl2_28
<=> ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).
fof(f152,plain,
( ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1))
| ~ spl2_9
| ~ spl2_16 ),
inference(superposition,[],[f141,f84]) ).
fof(f376,plain,
( spl2_27
| ~ spl2_8
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f132,f112,f79,f374]) ).
fof(f374,plain,
( spl2_27
<=> ! [X0] : domain(X0) = domain(domain(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).
fof(f132,plain,
( ! [X0] : domain(X0) = domain(domain(X0))
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f127,f80]) ).
fof(f127,plain,
( ! [X0] : domain(multiplication(one,X0)) = domain(domain(X0))
| ~ spl2_8
| ~ spl2_14 ),
inference(superposition,[],[f113,f80]) ).
fof(f372,plain,
( spl2_26
| ~ spl2_10
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f96,f92,f87,f370]) ).
fof(f96,plain,
( ! [X0] : one = addition(one,domain(X0))
| ~ spl2_10
| ~ spl2_11 ),
inference(superposition,[],[f93,f88]) ).
fof(f352,plain,
( spl2_25
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f151,f136,f92,f87,f75,f349]) ).
fof(f349,plain,
( spl2_25
<=> one = domain(one) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_25])]) ).
fof(f151,plain,
( one = domain(one)
| ~ spl2_7
| ~ spl2_10
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f150,f96]) ).
fof(f150,plain,
( domain(one) = addition(one,domain(one))
| ~ spl2_7
| ~ spl2_15 ),
inference(superposition,[],[f137,f76]) ).
fof(f297,plain,
( spl2_24
| ~ spl2_1
| ~ spl2_6
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f266,f200,f71,f48,f295]) ).
fof(f295,plain,
( spl2_24
<=> ! [X0] : multiplication(X0,sK1) = multiplication(addition(X0,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).
fof(f266,plain,
( ! [X0] : multiplication(X0,sK1) = multiplication(addition(X0,sK0),sK1)
| ~ spl2_1
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_demodulation,[],[f247,f72]) ).
fof(f247,plain,
( ! [X0] : multiplication(addition(X0,sK0),sK1) = addition(multiplication(X0,sK1),zero)
| ~ spl2_1
| ~ spl2_20 ),
inference(superposition,[],[f201,f50]) ).
fof(f293,plain,
( spl2_23
| ~ spl2_1
| ~ spl2_13
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f261,f200,f108,f48,f291]) ).
fof(f291,plain,
( spl2_23
<=> ! [X0] : multiplication(addition(sK0,X0),sK1) = multiplication(X0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).
fof(f261,plain,
( ! [X0] : multiplication(addition(sK0,X0),sK1) = multiplication(X0,sK1)
| ~ spl2_1
| ~ spl2_13
| ~ spl2_20 ),
inference(forward_demodulation,[],[f241,f109]) ).
fof(f241,plain,
( ! [X0] : multiplication(addition(sK0,X0),sK1) = addition(zero,multiplication(X0,sK1))
| ~ spl2_1
| ~ spl2_20 ),
inference(superposition,[],[f201,f50]) ).
fof(f289,plain,
( spl2_22
| ~ spl2_1
| ~ spl2_6
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f235,f192,f71,f48,f287]) ).
fof(f287,plain,
( spl2_22
<=> ! [X0] : multiplication(sK0,X0) = multiplication(sK0,addition(X0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).
fof(f235,plain,
( ! [X0] : multiplication(sK0,X0) = multiplication(sK0,addition(X0,sK1))
| ~ spl2_1
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_demodulation,[],[f214,f72]) ).
fof(f214,plain,
( ! [X0] : multiplication(sK0,addition(X0,sK1)) = addition(multiplication(sK0,X0),zero)
| ~ spl2_1
| ~ spl2_18 ),
inference(superposition,[],[f193,f50]) ).
fof(f285,plain,
( spl2_21
| ~ spl2_1
| ~ spl2_13
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f228,f192,f108,f48,f283]) ).
fof(f283,plain,
( spl2_21
<=> ! [X0] : multiplication(sK0,addition(sK1,X0)) = multiplication(sK0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).
fof(f228,plain,
( ! [X0] : multiplication(sK0,addition(sK1,X0)) = multiplication(sK0,X0)
| ~ spl2_1
| ~ spl2_13
| ~ spl2_18 ),
inference(forward_demodulation,[],[f208,f109]) ).
fof(f208,plain,
( ! [X0] : multiplication(sK0,addition(sK1,X0)) = addition(zero,multiplication(sK0,X0))
| ~ spl2_1
| ~ spl2_18 ),
inference(superposition,[],[f193,f50]) ).
fof(f202,plain,
spl2_20,
inference(avatar_split_clause,[],[f46,f200]) ).
fof(f46,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/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f198,plain,
( spl2_19
| ~ spl2_1
| ~ spl2_5
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f187,f144,f67,f48,f196]) ).
fof(f187,plain,
( ! [X0] : zero = multiplication(sK0,multiplication(sK1,X0))
| ~ spl2_1
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_demodulation,[],[f177,f68]) ).
fof(f177,plain,
( ! [X0] : multiplication(zero,X0) = multiplication(sK0,multiplication(sK1,X0))
| ~ spl2_1
| ~ spl2_17 ),
inference(superposition,[],[f145,f50]) ).
fof(f194,plain,
spl2_18,
inference(avatar_split_clause,[],[f45,f192]) ).
fof(f45,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/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f146,plain,
spl2_17,
inference(avatar_split_clause,[],[f44,f144]) ).
fof(f44,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/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f142,plain,
spl2_16,
inference(avatar_split_clause,[],[f43,f140]) ).
fof(f43,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,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/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f138,plain,
spl2_15,
inference(avatar_split_clause,[],[f39,f136]) ).
fof(f39,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f114,plain,
spl2_14,
inference(avatar_split_clause,[],[f42,f112]) ).
fof(f42,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f110,plain,
( spl2_13
| ~ spl2_6
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f95,f92,f71,f108]) ).
fof(f95,plain,
( ! [X0] : addition(zero,X0) = X0
| ~ spl2_6
| ~ spl2_11 ),
inference(superposition,[],[f93,f72]) ).
fof(f106,plain,
spl2_12,
inference(avatar_split_clause,[],[f41,f104]) ).
fof(f41,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3,X4] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain5) ).
fof(f94,plain,
spl2_11,
inference(avatar_split_clause,[],[f40,f92]) ).
fof(f40,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/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f89,plain,
spl2_10,
inference(avatar_split_clause,[],[f38,f87]) ).
fof(f38,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] : one = addition(domain(X0),one),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(domain(X3),one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f85,plain,
spl2_9,
inference(avatar_split_clause,[],[f37,f83]) ).
fof(f37,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f81,plain,
spl2_8,
inference(avatar_split_clause,[],[f36,f79]) ).
fof(f36,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f77,plain,
spl2_7,
inference(avatar_split_clause,[],[f35,f75]) ).
fof(f35,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f73,plain,
spl2_6,
inference(avatar_split_clause,[],[f34,f71]) ).
fof(f34,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f69,plain,
spl2_5,
inference(avatar_split_clause,[],[f33,f67]) ).
fof(f33,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f65,plain,
spl2_4,
inference(avatar_split_clause,[],[f32,f63]) ).
fof(f63,plain,
( spl2_4
<=> ! [X0] : zero = multiplication(X0,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f32,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_annihilation) ).
fof(f61,plain,
spl2_3,
inference(avatar_split_clause,[],[f31,f58]) ).
fof(f31,plain,
zero = domain(zero),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
zero = domain(zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f56,plain,
~ spl2_2,
inference(avatar_split_clause,[],[f30,f53]) ).
fof(f30,plain,
zero != multiplication(sK0,domain(sK1)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( zero != multiplication(sK0,domain(sK1))
& zero = multiplication(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f27]) ).
fof(f27,plain,
( ? [X0,X1] :
( zero != multiplication(X0,domain(X1))
& zero = multiplication(X0,X1) )
=> ( zero != multiplication(sK0,domain(sK1))
& zero = multiplication(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1] :
( zero != multiplication(X0,domain(X1))
& zero = multiplication(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1] :
( zero = multiplication(X0,X1)
=> zero = multiplication(X0,domain(X1)) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3,X4] :
( zero = multiplication(X3,X4)
=> zero = multiplication(X3,domain(X4)) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3,X4] :
( zero = multiplication(X3,X4)
=> zero = multiplication(X3,domain(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f51,plain,
spl2_1,
inference(avatar_split_clause,[],[f29,f48]) ).
fof(f29,plain,
zero = multiplication(sK0,sK1),
inference(cnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : KLE065+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 04:32:33 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (1027)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (1033)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (1035)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (1030)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (1032)WARNING: value z3 for option sas not known
% 0.13/0.37 % (1038)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (1037)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (1032)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (1029)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [2]
% 0.13/0.40 TRYING [3]
% 0.20/0.41 TRYING [5]
% 0.20/0.43 TRYING [4]
% 0.20/0.45 % (1035)First to succeed.
% 0.20/0.46 % (1035)Refutation found. Thanks to Tanya!
% 0.20/0.46 % SZS status Theorem for theBenchmark
% 0.20/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46 % (1035)------------------------------
% 0.20/0.46 % (1035)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.46 % (1035)Termination reason: Refutation
% 0.20/0.46
% 0.20/0.46 % (1035)Memory used [KB]: 2442
% 0.20/0.46 % (1035)Time elapsed: 0.086 s
% 0.20/0.46 % (1035)Instructions burned: 173 (million)
% 0.20/0.46 % (1035)------------------------------
% 0.20/0.46 % (1035)------------------------------
% 0.20/0.46 % (1027)Success in time 0.099 s
%------------------------------------------------------------------------------