%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT400-1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:37 AM UTC 2026
% Result : Unsatisfiable 268.91s 40.79s
% Output : Refutation 281.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 33
% Syntax : Number of formulae : 719 ( 459 unt; 21 def)
% Number of atoms : 1033 ( 652 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 610 ( 296 ~; 293 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 1348 ( 0 sgn1348 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity) ).
fof(f2,axiom,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f3,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_001) ).
fof(f4,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_002) ).
fof(f5,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption) ).
fof(f6,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption_003) ).
fof(f7,axiom,
! [X2,X0,X1] : upme(X0,X1,X2) = meet(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_upme) ).
fof(f8,axiom,
! [X2,X0,X1] : lome(X0,X1,X2) = join(meet(X0,X1),meet(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_lome) ).
fof(f9,axiom,
! [X2,X0,X1] : join(upme(meet(a,X0),X1,X2),meet(X1,X2)) = meet(join(meet(meet(a,X0),X1),X2),join(meet(meet(a,X0),X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rh1) ).
fof(f10,axiom,
! [X2,X0,X1] : upme(X0,X1,X2) = join(upme(X0,X1,meet(a,X2)),upme(X0,X2,meet(a,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rh2) ).
fof(f11,negated_conjecture,
upme(a,x2,y2) = upme(a,x2,z2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
fof(f12,negated_conjecture,
upme(x2,y2,z2) != lome(x2,y2,z2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture_1) ).
fof(f13,plain,
! [X2,X0,X1] : meet(join(meet(meet(a,X0),X1),X2),join(meet(meet(a,X0),X2),X1)) = join(meet(meet(a,X0),join(X1,X2)),meet(X1,X2)),
inference(definition_unfolding,[],[f9,f7]) ).
fof(f14,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,join(X1,meet(a,X2))),meet(X0,join(X2,meet(a,X1)))),
inference(definition_unfolding,[],[f10,f7,f7,f7]) ).
fof(f15,plain,
meet(a,join(x2,y2)) = meet(a,join(x2,z2)),
inference(definition_unfolding,[],[f11,f7,f7]) ).
fof(f16,plain,
meet(x2,join(y2,z2)) != join(meet(x2,y2),meet(x2,z2)),
inference(definition_unfolding,[],[f12,f7,f8]) ).
fof(f18,definition,
( spl0_1
<=> meet(x2,join(y2,z2)) = join(meet(x2,y2),meet(x2,z2)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f20,plain,
( meet(x2,join(y2,z2)) != join(meet(x2,y2),meet(x2,z2))
| spl0_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f21,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f16,f18]) ).
fof(f23,definition,
( spl0_2
<=> meet(a,join(x2,y2)) = meet(a,join(x2,z2)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f25,plain,
( meet(a,join(x2,y2)) = meet(a,join(x2,z2))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f26,plain,
spl0_2,
inference(avatar_split_clause,[],[f15,f23]) ).
fof(f38,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(meet(X0,join(X1,meet(a,X0))),X0),
inference(superposition,[],[f14,f6]) ).
fof(f41,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(X0,join(X1,meet(a,X0)))),
inference(forward_demodulation,[],[f38,f3]) ).
fof(f45,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(forward_demodulation,[],[f41,f5]) ).
fof(f49,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f5,f6]) ).
fof(f50,plain,
! [X0,X1] : meet(X0,join(X1,a)) = join(meet(X0,join(X1,meet(a,a))),meet(X0,a)),
inference(superposition,[],[f14,f5]) ).
fof(f52,plain,
! [X0] : meet(X0,X0) = X0,
inference(superposition,[],[f6,f5]) ).
fof(f54,plain,
! [X0,X1] : meet(X0,join(X1,a)) = join(meet(X0,a),meet(X0,join(X1,meet(a,a)))),
inference(forward_demodulation,[],[f50,f3]) ).
fof(f55,plain,
! [X0,X1] : meet(X0,join(X1,a)) = join(meet(X0,a),meet(X0,join(X1,a))),
inference(forward_demodulation,[],[f54,f52]) ).
fof(f61,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = join(meet(X1,join(X0,meet(a,X2))),meet(X1,join(X2,meet(X0,a)))),
inference(superposition,[],[f14,f1]) ).
fof(f62,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = join(meet(X1,join(X2,meet(X0,a))),meet(X1,join(X0,meet(a,X2)))),
inference(superposition,[],[f14,f1]) ).
fof(f63,plain,
! [X2,X0,X1] : meet(X2,join(X1,X0)) = join(meet(X2,join(X1,meet(a,X0))),meet(join(X0,meet(a,X1)),X2)),
inference(superposition,[],[f14,f1]) ).
fof(f64,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = join(meet(join(X0,meet(a,X1)),X2),meet(X2,join(X1,meet(a,X0)))),
inference(superposition,[],[f14,f1]) ).
fof(f65,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f5,f1]) ).
fof(f66,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f65,f6]) ).
fof(f74,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f66,f3]) ).
fof(f81,plain,
! [X2,X0,X1] : join(meet(X0,join(X1,meet(a,X2))),meet(X0,join(X2,meet(a,X1)))) = meet(X0,join(X2,X1)),
inference(superposition,[],[f14,f3]) ).
fof(f89,plain,
( join(x2,z2) = join(join(x2,z2),meet(a,join(x2,y2)))
| ~ spl0_2 ),
inference(superposition,[],[f65,f25]) ).
fof(f91,plain,
( join(x2,z2) = join(x2,join(z2,meet(a,join(x2,y2))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f89,f4]) ).
fof(f95,definition,
( spl0_3
<=> join(x2,z2) = join(x2,join(z2,meet(a,join(x2,y2)))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f97,plain,
( join(x2,z2) = join(x2,join(z2,meet(a,join(x2,y2))))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f91,f23,f95]) ).
fof(f101,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f4,f5]) ).
fof(f102,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f4,f65]) ).
fof(f111,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f3,f4]) ).
fof(f113,plain,
! [X2,X3,X0,X1] : meet(X3,join(X2,join(X0,X1))) = join(meet(X3,join(X2,meet(a,join(X0,X1)))),meet(X3,join(X0,join(X1,meet(a,X2))))),
inference(superposition,[],[f14,f4]) ).
fof(f114,plain,
! [X2,X3,X0,X1] : meet(X3,join(join(X0,X1),X2)) = join(meet(X3,join(X0,join(X1,meet(a,X2)))),meet(X3,join(X2,meet(a,join(X0,X1))))),
inference(superposition,[],[f14,f4]) ).
fof(f115,plain,
! [X2,X0,X1] : join(X0,X1) = join(X0,join(X1,meet(join(X0,X1),X2))),
inference(superposition,[],[f5,f4]) ).
fof(f117,plain,
! [X2,X3,X0,X1] : join(meet(X3,join(X0,join(X1,meet(a,X2)))),meet(X3,join(X2,meet(a,join(X0,X1))))) = meet(X3,join(X0,join(X1,X2))),
inference(forward_demodulation,[],[f114,f4]) ).
fof(f125,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f101,f3]) ).
fof(f128,plain,
! [X2,X0,X1] : join(X0,meet(X0,X1)) = join(X0,meet(X2,meet(X0,X1))),
inference(superposition,[],[f101,f65]) ).
fof(f138,plain,
! [X2,X0,X1] : join(X0,meet(X2,meet(X0,X1))) = X0,
inference(forward_demodulation,[],[f128,f5]) ).
fof(f144,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f2,f6]) ).
fof(f146,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(superposition,[],[f2,f1]) ).
fof(f147,plain,
( ! [X0] : meet(a,meet(join(x2,z2),X0)) = meet(meet(a,join(x2,y2)),X0)
| ~ spl0_2 ),
inference(superposition,[],[f2,f25]) ).
fof(f152,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X3,X2)) = join(meet(meet(X0,X1),join(X3,meet(a,X2))),meet(X0,meet(X1,join(X2,meet(a,X3))))),
inference(superposition,[],[f14,f2]) ).
fof(f153,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X2,X3)) = join(meet(X0,meet(X1,join(X2,meet(a,X3)))),meet(meet(X0,X1),join(X3,meet(a,X2)))),
inference(superposition,[],[f14,f2]) ).
fof(f154,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(X0,meet(X1,join(meet(X0,X1),X2))),
inference(superposition,[],[f6,f2]) ).
fof(f158,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f159,plain,
! [X2,X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(X0,meet(X1,X2))),
inference(superposition,[],[f5,f2]) ).
fof(f160,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X2,X3)) = join(meet(X0,meet(X1,join(X2,meet(a,X3)))),meet(X0,meet(X1,join(X3,meet(a,X2))))),
inference(forward_demodulation,[],[f153,f2]) ).
fof(f161,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X3,X2)) = join(meet(X0,meet(X1,join(X2,meet(a,X3)))),meet(meet(X0,X1),join(X3,meet(a,X2)))),
inference(forward_demodulation,[],[f152,f3]) ).
fof(f163,plain,
( ! [X0] : meet(a,meet(join(x2,z2),X0)) = meet(a,meet(join(x2,y2),X0))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f147,f2]) ).
fof(f164,plain,
! [X2,X3,X0,X1] : join(meet(X0,meet(X1,join(X2,meet(a,X3)))),meet(X0,meet(X1,join(X3,meet(a,X2))))) = meet(X0,meet(X1,join(X2,X3))),
inference(forward_demodulation,[],[f160,f2]) ).
fof(f165,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X3,X2)) = join(meet(X0,meet(X1,join(X2,meet(a,X3)))),meet(X0,meet(X1,join(X3,meet(a,X2))))),
inference(forward_demodulation,[],[f161,f2]) ).
fof(f167,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X3,X2)) = meet(X0,meet(X1,join(X2,X3))),
inference(forward_demodulation,[],[f165,f164]) ).
fof(f168,plain,
! [X2,X3,X0,X1] : meet(X0,meet(X1,join(X2,X3))) = meet(X0,meet(X1,join(X3,X2))),
inference(forward_demodulation,[],[f167,f2]) ).
fof(f170,plain,
! [X2,X0,X1] : meet(X1,X2) = meet(X1,meet(join(X0,X1),X2)),
inference(superposition,[],[f144,f3]) ).
fof(f174,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f144,f65]) ).
fof(f178,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f144,f1]) ).
fof(f183,plain,
! [X2,X0,X1] : meet(join(X0,X2),X1) = join(meet(join(X0,X2),X1),meet(X0,X1)),
inference(superposition,[],[f65,f144]) ).
fof(f190,plain,
! [X2,X0,X1] : meet(join(X0,X2),X1) = join(meet(X0,X1),meet(join(X0,X2),X1)),
inference(forward_demodulation,[],[f183,f3]) ).
fof(f271,plain,
! [X2,X3,X0,X1] : join(X2,join(X3,join(X0,X1))) = join(X3,join(X0,join(X1,X2))),
inference(superposition,[],[f111,f4]) ).
fof(f300,plain,
! [X2,X0,X1] : meet(X1,join(X0,join(X1,X2))) = X1,
inference(superposition,[],[f6,f111]) ).
fof(f303,plain,
! [X2,X3,X0,X1] : join(X1,join(X3,X0)) = join(X1,join(X0,join(meet(X1,X2),X3))),
inference(superposition,[],[f101,f111]) ).
fof(f309,plain,
! [X2,X3,X0,X1] : join(X0,join(X1,join(X2,X3))) = join(X2,join(X3,join(X0,X1))),
inference(superposition,[],[f4,f111]) ).
fof(f338,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f45,f65]) ).
fof(f339,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(meet(X0,X2),X1),join(X0,X1)),
inference(superposition,[],[f45,f101]) ).
fof(f351,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(X0,meet(X1,join(X2,meet(X0,X1)))),
inference(superposition,[],[f2,f45]) ).
fof(f362,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(X0,X1),join(meet(X0,X2),X1)),
inference(forward_demodulation,[],[f339,f1]) ).
fof(f363,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f338,f1]) ).
fof(f420,plain,
! [X0,X1] : meet(join(X0,meet(a,X1)),join(X1,X0)) = join(meet(join(X0,meet(a,X1)),join(X1,meet(a,X0))),join(X0,meet(a,X1))),
inference(superposition,[],[f14,f52]) ).
fof(f421,plain,
! [X0,X1] : meet(join(X0,meet(a,X1)),join(X0,X1)) = join(join(X0,meet(a,X1)),meet(join(X0,meet(a,X1)),join(X1,meet(a,X0)))),
inference(superposition,[],[f14,f52]) ).
fof(f428,plain,
! [X0,X1] : join(X0,meet(a,X1)) = meet(join(X0,meet(a,X1)),join(X0,X1)),
inference(forward_demodulation,[],[f421,f5]) ).
fof(f429,plain,
! [X0,X1] : meet(join(X0,meet(a,X1)),join(X1,X0)) = join(join(X0,meet(a,X1)),meet(join(X0,meet(a,X1)),join(X1,meet(a,X0)))),
inference(forward_demodulation,[],[f420,f3]) ).
fof(f437,plain,
! [X0,X1] : join(X0,meet(a,X1)) = meet(join(X0,X1),join(X0,meet(a,X1))),
inference(forward_demodulation,[],[f428,f1]) ).
fof(f438,plain,
! [X0,X1] : join(X0,meet(a,X1)) = meet(join(X0,meet(a,X1)),join(X1,X0)),
inference(forward_demodulation,[],[f429,f5]) ).
fof(f442,plain,
! [X0,X1] : join(X0,meet(a,X1)) = meet(join(X1,X0),join(X0,meet(a,X1))),
inference(forward_demodulation,[],[f438,f1]) ).
fof(f601,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = meet(X2,meet(join(X0,X1),join(X1,X0))),
inference(superposition,[],[f168,f52]) ).
fof(f603,plain,
! [X2,X3,X0,X1] : meet(X3,meet(X2,join(X1,X0))) = meet(X3,meet(join(X0,X1),X2)),
inference(superposition,[],[f168,f1]) ).
fof(f629,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X0,X1),join(X2,X3))) = meet(X0,join(X3,X2)),
inference(superposition,[],[f144,f168]) ).
fof(f631,plain,
! [X2,X3,X0,X1] : meet(X0,meet(X1,join(X2,X3))) = meet(join(X3,X2),meet(X0,X1)),
inference(superposition,[],[f158,f168]) ).
fof(f632,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(meet(X0,join(X1,X2)),meet(X0,join(X2,X1))),
inference(superposition,[],[f52,f168]) ).
fof(f640,plain,
! [X2,X3,X0,X1,X4] : meet(X4,meet(X0,meet(X1,join(X2,X3)))) = meet(meet(X1,join(X3,X2)),meet(X4,X0)),
inference(superposition,[],[f158,f168]) ).
fof(f641,plain,
! [X2,X3,X0,X1,X4] : meet(meet(X0,X1),meet(X2,join(X3,X4))) = meet(X0,meet(X1,meet(X2,join(X4,X3)))),
inference(superposition,[],[f2,f168]) ).
fof(f647,plain,
! [X2,X3,X0,X1,X4] : meet(X0,meet(X1,meet(X2,join(X3,X4)))) = meet(X0,meet(X1,meet(X2,join(X4,X3)))),
inference(forward_demodulation,[],[f641,f2]) ).
fof(f648,plain,
! [X2,X3,X0,X1,X4] : meet(X4,meet(X0,meet(X1,join(X2,X3)))) = meet(X1,meet(join(X3,X2),meet(X4,X0))),
inference(forward_demodulation,[],[f640,f2]) ).
fof(f653,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X2,X1),meet(meet(X0,join(X1,X2)),X0)),
inference(forward_demodulation,[],[f632,f158]) ).
fof(f654,plain,
! [X2,X3,X0] : meet(X0,join(X3,X2)) = meet(X0,join(X2,X3)),
inference(forward_demodulation,[],[f629,f144]) ).
fof(f683,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X2,X1),meet(X0,meet(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f653,f1]) ).
fof(f689,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X2,X1),meet(X0,join(X1,X2))),
inference(forward_demodulation,[],[f683,f174]) ).
fof(f705,plain,
! [X2,X3,X0,X1] : meet(X3,join(X2,join(X0,X1))) = meet(X3,join(X0,join(X1,X2))),
inference(superposition,[],[f654,f4]) ).
fof(f742,plain,
! [X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X1,X0)),
inference(superposition,[],[f52,f654]) ).
fof(f744,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X2,X1),X0),
inference(superposition,[],[f1,f654]) ).
fof(f800,plain,
! [X2,X3,X0,X1,X4] : meet(X4,meet(X0,meet(X1,join(X2,X3)))) = meet(X4,meet(join(X3,X2),meet(X0,X1))),
inference(superposition,[],[f603,f2]) ).
fof(f811,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(X1,meet(X2,X0)),
inference(superposition,[],[f603,f49]) ).
fof(f862,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(X0,meet(X1,join(X2,X0))),
inference(superposition,[],[f144,f603]) ).
fof(f863,plain,
! [X2,X3,X0,X1] : meet(X0,meet(X1,join(X2,X3))) = meet(join(X3,X2),meet(X1,X0)),
inference(superposition,[],[f158,f603]) ).
fof(f1025,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(X2,X1),X0),
inference(superposition,[],[f1,f811]) ).
fof(f1241,plain,
! [X2,X0,X1] : join(X2,X0) = join(X2,join(X0,meet(X1,X2))),
inference(superposition,[],[f102,f3]) ).
fof(f1242,plain,
! [X2,X0,X1] : join(join(X1,meet(a,X2)),meet(X0,join(X2,meet(a,X1)))) = join(join(X1,meet(a,X2)),meet(X0,join(X1,X2))),
inference(superposition,[],[f102,f14]) ).
fof(f1249,plain,
! [X2,X3,X0,X1] : join(X2,join(X3,X0)) = join(X2,join(X0,join(meet(X1,X2),X3))),
inference(superposition,[],[f102,f111]) ).
fof(f1283,plain,
! [X2,X0,X1] : join(join(X1,meet(a,X2)),meet(X0,join(X2,meet(a,X1)))) = join(X1,join(meet(a,X2),meet(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f1242,f4]) ).
fof(f1301,plain,
! [X2,X0,X1] : join(X1,join(meet(a,X2),meet(X0,join(X1,X2)))) = join(X1,join(meet(a,X2),meet(X0,join(X2,meet(a,X1))))),
inference(forward_demodulation,[],[f1283,f4]) ).
fof(f1324,plain,
! [X2,X0,X1] : join(meet(meet(a,X0),join(join(meet(a,X0),X1),X2)),meet(join(meet(a,X0),X1),X2)) = meet(join(meet(a,X0),X2),join(meet(meet(a,X0),X2),join(meet(a,X0),X1))),
inference(superposition,[],[f13,f6]) ).
fof(f1357,plain,
! [X2,X0,X1] : join(meet(meet(a,X0),join(X2,X1)),meet(X2,X1)) = meet(join(meet(meet(a,X0),X2),X1),join(meet(a,meet(X0,X1)),X2)),
inference(superposition,[],[f13,f2]) ).
fof(f1360,plain,
! [X2,X0,X1] : join(meet(meet(a,X1),join(X2,X0)),meet(X2,X0)) = meet(join(meet(meet(a,X1),X2),X0),join(meet(X0,meet(a,X1)),X2)),
inference(superposition,[],[f13,f1]) ).
fof(f1406,plain,
! [X2,X0,X1] : join(meet(meet(a,X0),X1),X2) = join(join(meet(meet(a,X0),X1),X2),join(meet(meet(a,X0),join(X1,X2)),meet(X1,X2))),
inference(superposition,[],[f5,f13]) ).
fof(f1421,plain,
! [X2,X0,X1] : join(meet(meet(a,X0),X1),X2) = join(meet(X1,X2),join(join(meet(meet(a,X0),X1),X2),meet(meet(a,X0),join(X1,X2)))),
inference(forward_demodulation,[],[f1406,f111]) ).
fof(f1467,plain,
! [X2,X0,X1] : join(meet(meet(a,X1),join(X2,X0)),meet(X2,X0)) = meet(join(X2,meet(X0,meet(a,X1))),join(meet(meet(a,X1),X2),X0)),
inference(forward_demodulation,[],[f1360,f744]) ).
fof(f1470,plain,
! [X2,X0,X1] : join(meet(meet(a,X0),join(X2,X1)),meet(X2,X1)) = meet(join(X2,meet(a,meet(X0,X1))),join(meet(meet(a,X0),X2),X1)),
inference(forward_demodulation,[],[f1357,f744]) ).
fof(f1492,plain,
! [X2,X0,X1] : join(meet(meet(a,X0),join(join(meet(a,X0),X1),X2)),meet(join(meet(a,X0),X1),X2)) = meet(join(meet(a,X0),X2),join(meet(a,X0),join(X1,meet(meet(a,X0),X2)))),
inference(forward_demodulation,[],[f1324,f705]) ).
fof(f1514,plain,
! [X2,X0,X1] : join(meet(meet(a,X0),X1),X2) = join(meet(X1,X2),join(meet(meet(a,X0),join(X1,X2)),join(meet(meet(a,X0),X1),X2))),
inference(forward_demodulation,[],[f1421,f3]) ).
fof(f1560,plain,
! [X2,X0,X1] : join(meet(meet(a,X1),join(X2,X0)),meet(X2,X0)) = meet(join(X2,meet(X0,meet(a,X1))),join(meet(a,meet(X1,X2)),X0)),
inference(forward_demodulation,[],[f1467,f2]) ).
fof(f1563,plain,
! [X2,X0,X1] : join(meet(meet(a,X0),join(X2,X1)),meet(X2,X1)) = meet(join(X2,meet(a,meet(X0,X1))),join(meet(a,meet(X0,X2)),X1)),
inference(forward_demodulation,[],[f1470,f2]) ).
fof(f1585,plain,
! [X2,X0,X1] : join(meet(meet(a,X0),join(join(meet(a,X0),X1),X2)),meet(join(meet(a,X0),X1),X2)) = meet(join(meet(a,X0),X2),join(meet(a,X0),X1)),
inference(forward_demodulation,[],[f1492,f125]) ).
fof(f1606,plain,
! [X2,X0,X1] : join(meet(meet(a,X0),X1),X2) = join(X2,join(meet(X1,X2),join(meet(meet(a,X0),join(X1,X2)),meet(meet(a,X0),X1)))),
inference(forward_demodulation,[],[f1514,f271]) ).
fof(f1652,plain,
! [X2,X0,X1] : meet(join(X2,meet(X0,meet(a,X1))),join(meet(a,meet(X1,X2)),X0)) = join(meet(X2,X0),meet(meet(a,X1),join(X2,X0))),
inference(forward_demodulation,[],[f1560,f3]) ).
fof(f1655,plain,
! [X2,X0,X1] : join(meet(X2,X1),meet(meet(a,X0),join(X2,X1))) = meet(join(X2,meet(a,meet(X0,X1))),join(meet(a,meet(X0,X2)),X1)),
inference(forward_demodulation,[],[f1563,f3]) ).
fof(f1674,plain,
! [X2,X0,X1] : meet(join(meet(a,X0),X2),join(meet(a,X0),X1)) = join(meet(join(meet(a,X0),X1),X2),meet(meet(a,X0),join(join(meet(a,X0),X1),X2))),
inference(forward_demodulation,[],[f1585,f3]) ).
fof(f1695,plain,
! [X2,X0,X1] : join(meet(meet(a,X0),X1),X2) = join(X2,join(meet(meet(a,X0),join(X1,X2)),meet(meet(a,X0),X1))),
inference(forward_demodulation,[],[f1606,f102]) ).
fof(f1741,plain,
! [X2,X0,X1] : meet(join(X2,meet(X0,meet(a,X1))),join(meet(a,meet(X1,X2)),X0)) = join(meet(X2,X0),meet(a,meet(X1,join(X2,X0)))),
inference(forward_demodulation,[],[f1652,f2]) ).
fof(f1744,plain,
! [X2,X0,X1] : join(meet(X2,X1),meet(a,meet(X0,join(X2,X1)))) = meet(join(X2,meet(a,meet(X0,X1))),join(meet(a,meet(X0,X2)),X1)),
inference(forward_demodulation,[],[f1655,f2]) ).
fof(f1763,plain,
! [X2,X0,X1] : meet(join(meet(a,X0),X2),join(meet(a,X0),X1)) = join(meet(join(meet(a,X0),X1),X2),meet(a,meet(X0,join(join(meet(a,X0),X1),X2)))),
inference(forward_demodulation,[],[f1674,f2]) ).
fof(f1784,plain,
! [X2,X0,X1] : join(meet(meet(a,X0),X1),X2) = join(X2,join(meet(meet(a,X0),X1),meet(meet(a,X0),join(X1,X2)))),
inference(forward_demodulation,[],[f1695,f3]) ).
fof(f1843,plain,
! [X2,X0,X1] : meet(join(meet(a,X0),X2),join(meet(a,X0),X1)) = join(meet(join(meet(a,X0),X1),X2),meet(a,meet(X0,join(meet(a,X0),join(X1,X2))))),
inference(forward_demodulation,[],[f1763,f4]) ).
fof(f1857,plain,
! [X2,X0,X1] : join(meet(meet(a,X0),X1),X2) = join(X2,join(meet(meet(a,X0),X1),meet(a,meet(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f1784,f2]) ).
fof(f1888,plain,
! [X2,X0,X1] : meet(join(meet(a,X0),X2),join(meet(a,X0),X1)) = join(meet(join(meet(a,X0),X1),X2),meet(a,X0)),
inference(forward_demodulation,[],[f1843,f154]) ).
fof(f1898,plain,
! [X2,X0,X1] : join(meet(a,meet(X0,X1)),X2) = join(X2,join(meet(a,meet(X0,X1)),meet(a,meet(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f1857,f2]) ).
fof(f1923,plain,
! [X2,X0,X1] : meet(join(meet(a,X0),X2),join(meet(a,X0),X1)) = join(meet(a,X0),meet(join(meet(a,X0),X1),X2)),
inference(forward_demodulation,[],[f1888,f3]) ).
fof(f2209,plain,
! [X0,X1] : meet(X1,join(X0,X0)) = join(meet(X0,X1),meet(X1,X0)),
inference(superposition,[],[f64,f65]) ).
fof(f2219,plain,
! [X0,X1] : meet(join(X0,meet(a,X1)),join(X1,X0)) = join(meet(join(X1,meet(a,X0)),join(X0,meet(a,X1))),join(X0,meet(a,X1))),
inference(superposition,[],[f64,f52]) ).
fof(f2271,plain,
! [X0,X1] : meet(join(X0,meet(a,X1)),join(X1,X0)) = join(join(X0,meet(a,X1)),meet(join(X1,meet(a,X0)),join(X0,meet(a,X1)))),
inference(forward_demodulation,[],[f2219,f3]) ).
fof(f2276,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X0,X1),meet(X1,X0)),
inference(forward_demodulation,[],[f2209,f49]) ).
fof(f2330,plain,
! [X0,X1] : join(X0,meet(a,X1)) = meet(join(X0,meet(a,X1)),join(X1,X0)),
inference(forward_demodulation,[],[f2271,f65]) ).
fof(f2377,plain,
! [X0,X1] : join(X0,meet(a,X1)) = meet(join(X1,X0),join(meet(a,X1),X0)),
inference(forward_demodulation,[],[f2330,f744]) ).
fof(f2451,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(X0,X2))),
inference(superposition,[],[f362,f5]) ).
fof(f2462,plain,
! [X2,X0,X1] : join(meet(X0,X1),X2) = meet(join(X1,X2),join(meet(X0,X1),X2)),
inference(superposition,[],[f362,f1]) ).
fof(f2505,plain,
! [X2,X3,X0,X1] : meet(X3,join(meet(X0,X1),X2)) = meet(X3,meet(join(X0,X2),join(X2,meet(X0,X1)))),
inference(superposition,[],[f168,f362]) ).
fof(f2650,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(meet(X1,X0),meet(meet(X0,X1),X2)),
inference(superposition,[],[f144,f2276]) ).
fof(f2675,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(X1,meet(X0,meet(meet(X0,X1),X2))),
inference(forward_demodulation,[],[f2650,f2]) ).
fof(f2725,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(X1,meet(X0,meet(X0,meet(X1,X2)))),
inference(forward_demodulation,[],[f2675,f2]) ).
fof(f2754,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(X1,meet(X0,meet(X1,X2))),
inference(forward_demodulation,[],[f2725,f174]) ).
fof(f2769,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(X1,meet(X0,meet(X1,X2))),
inference(forward_demodulation,[],[f2754,f2]) ).
fof(f3033,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(join(X1,X0),join(join(X0,meet(a,X1)),X2)),
inference(superposition,[],[f101,f2377]) ).
fof(f3045,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X1,join(X0,join(join(X0,meet(a,X1)),X2))),
inference(forward_demodulation,[],[f3033,f4]) ).
fof(f3094,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X1,join(X0,join(X0,join(meet(a,X1),X2)))),
inference(forward_demodulation,[],[f3045,f4]) ).
fof(f3124,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X1,join(X0,join(meet(a,X1),X2))),
inference(forward_demodulation,[],[f3094,f74]) ).
fof(f3149,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X1,join(X2,X0)),
inference(forward_demodulation,[],[f3124,f1249]) ).
fof(f3237,plain,
( meet(a,meet(join(x2,y2),join(meet(a,x2),z2))) = meet(a,join(z2,meet(a,x2)))
| ~ spl0_2 ),
inference(superposition,[],[f163,f2377]) ).
fof(f3316,plain,
( meet(a,join(z2,meet(a,x2))) = meet(a,meet(join(x2,y2),join(z2,meet(a,x2))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f3237,f168]) ).
fof(f3329,definition,
( spl0_6
<=> meet(a,join(z2,meet(a,x2))) = meet(a,meet(join(x2,y2),join(z2,meet(a,x2)))) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f3331,plain,
( meet(a,join(z2,meet(a,x2))) = meet(a,meet(join(x2,y2),join(z2,meet(a,x2))))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f3329]) ).
fof(f3332,plain,
( spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f3316,f23,f3329]) ).
fof(f3435,plain,
! [X2,X0,X1] : join(join(X1,meet(X2,a)),meet(X0,join(X2,meet(a,X1)))) = join(join(X1,meet(X2,a)),meet(X0,join(X1,X2))),
inference(superposition,[],[f102,f62]) ).
fof(f3442,plain,
! [X2,X0,X1] : join(join(X1,meet(X2,a)),meet(X0,join(X2,meet(a,X1)))) = join(X1,join(meet(X2,a),meet(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f3435,f4]) ).
fof(f3511,plain,
! [X2,X0,X1] : join(X1,join(meet(X2,a),meet(X0,join(X1,X2)))) = join(X1,join(meet(X2,a),meet(X0,join(X2,meet(a,X1))))),
inference(forward_demodulation,[],[f3442,f4]) ).
fof(f5298,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(meet(X0,X1),meet(X0,X2)),
inference(superposition,[],[f170,f5]) ).
fof(f5299,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(meet(X1,X0),meet(X0,X2)),
inference(superposition,[],[f170,f65]) ).
fof(f5424,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(X0,meet(X2,meet(X1,X0))),
inference(forward_demodulation,[],[f5299,f158]) ).
fof(f5425,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f5298,f158]) ).
fof(f5445,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(X0,meet(X2,meet(X1,X0))),
inference(forward_demodulation,[],[f5424,f2]) ).
fof(f5446,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X2,X1)),
inference(forward_demodulation,[],[f5425,f2769]) ).
fof(f5490,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,X0)),
inference(superposition,[],[f5446,f52]) ).
fof(f6223,plain,
! [X2,X3,X0,X1] : meet(join(X0,X1),join(X2,X3)) = meet(join(X1,X0),join(X3,X2)),
inference(superposition,[],[f744,f744]) ).
fof(f6242,plain,
! [X0,X1] : join(X1,X0) = meet(join(X0,X1),join(X1,X0)),
inference(superposition,[],[f52,f744]) ).
fof(f6300,plain,
! [X2,X3,X0,X1,X4] : meet(meet(X0,join(X1,X2)),join(X3,X4)) = meet(join(X4,X3),meet(join(X2,X1),X0)),
inference(superposition,[],[f603,f744]) ).
fof(f6306,plain,
! [X2,X3,X0,X1] : meet(join(X0,X1),join(X2,X3)) = meet(join(X3,X2),join(X1,X0)),
inference(superposition,[],[f654,f744]) ).
fof(f6330,plain,
! [X2,X3,X0,X1,X4] : meet(X0,meet(join(X1,X2),join(X3,X4))) = meet(join(X4,X3),meet(join(X2,X1),X0)),
inference(forward_demodulation,[],[f6300,f2]) ).
fof(f6959,plain,
! [X2,X3,X0,X1] : join(meet(X1,join(X0,X2)),X3) = join(meet(X1,join(X0,X2)),join(meet(X0,X1),X3)),
inference(superposition,[],[f102,f178]) ).
fof(f7017,plain,
! [X2,X3,X0,X1] : join(meet(X1,join(X0,X2)),X3) = join(meet(X0,X1),join(X3,meet(X1,join(X0,X2)))),
inference(forward_demodulation,[],[f6959,f111]) ).
fof(f7160,plain,
! [X2,X3,X0,X1] : join(meet(X1,X3),meet(X0,meet(X1,X2))) = meet(X1,join(meet(X1,X3),meet(X0,meet(X1,X2)))),
inference(superposition,[],[f2451,f158]) ).
fof(f7228,plain,
! [X2,X3,X0,X1] : meet(join(meet(X0,X1),meet(X0,X2)),X3) = meet(X0,meet(X3,join(meet(X0,X1),meet(X0,X2)))),
inference(superposition,[],[f5446,f2451]) ).
fof(f8507,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(join(X0,X2),X0),X1),
inference(superposition,[],[f1025,f6]) ).
fof(f8508,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(join(X2,X0),X0),X1),
inference(superposition,[],[f1025,f45]) ).
fof(f8848,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(join(X2,X0),meet(X0,X1)),
inference(forward_demodulation,[],[f8508,f2]) ).
fof(f8849,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(join(X0,X2),meet(X0,X1)),
inference(forward_demodulation,[],[f8507,f2]) ).
fof(f8969,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X0,meet(X1,join(X0,X2))),
inference(forward_demodulation,[],[f8848,f631]) ).
fof(f8970,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X0,meet(X1,join(X2,X0))),
inference(forward_demodulation,[],[f8849,f631]) ).
fof(f9379,plain,
! [X2,X3,X0,X1] : join(X1,X3) = join(X1,join(X3,meet(X0,meet(X1,X2)))),
inference(superposition,[],[f125,f158]) ).
fof(f9428,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = meet(join(X1,meet(X0,X2)),join(X0,X1)),
inference(superposition,[],[f45,f125]) ).
fof(f9478,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = meet(join(X1,X0),join(meet(X0,X2),X1)),
inference(forward_demodulation,[],[f9428,f6306]) ).
fof(f9652,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(superposition,[],[f4,f3149]) ).
fof(f11573,plain,
! [X2,X0,X1] : join(X2,meet(X0,X1)) = join(X2,join(meet(X0,X1),meet(X1,X0))),
inference(superposition,[],[f9652,f2276]) ).
fof(f11575,plain,
! [X2,X3,X0,X1] : join(X3,meet(X0,join(X1,X2))) = join(X3,join(meet(join(X2,meet(a,X1)),X0),meet(X0,join(X1,meet(a,X2))))),
inference(superposition,[],[f9652,f63]) ).
fof(f11764,plain,
! [X2,X3,X0,X1] : join(X3,meet(X0,join(X1,X2))) = join(X3,meet(X0,join(X2,X1))),
inference(forward_demodulation,[],[f11575,f64]) ).
fof(f11766,plain,
! [X2,X0,X1] : join(X2,meet(X0,X1)) = join(X2,meet(X1,X0)),
inference(forward_demodulation,[],[f11573,f2276]) ).
fof(f12166,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X0,meet(X1,join(X2,meet(X1,X0)))),
inference(superposition,[],[f45,f146]) ).
fof(f12491,plain,
! [X2,X3,X0,X1] : meet(X0,meet(X1,join(X2,X3))) = join(meet(X2,meet(X0,X1)),meet(X0,meet(X1,join(X2,X3)))),
inference(superposition,[],[f190,f158]) ).
fof(f12534,plain,
! [X2,X0,X1] : join(meet(join(X0,X1),X2),meet(X0,X2)) = meet(join(meet(join(X0,X1),X2),meet(X0,X2)),meet(join(X0,X1),X2)),
inference(superposition,[],[f742,f190]) ).
fof(f12550,plain,
! [X2,X0,X1] : join(meet(join(X0,X1),X2),meet(X0,X2)) = meet(X2,meet(join(X1,X0),join(meet(X0,X2),meet(join(X0,X1),X2)))),
inference(forward_demodulation,[],[f12534,f6330]) ).
fof(f12626,plain,
! [X2,X0,X1] : join(meet(join(X0,X1),X2),meet(X0,X2)) = meet(X2,meet(join(X1,X0),meet(join(X0,X1),X2))),
inference(forward_demodulation,[],[f12550,f190]) ).
fof(f12678,plain,
! [X2,X0,X1] : meet(join(X0,X1),meet(X2,join(X1,X0))) = join(meet(join(X0,X1),X2),meet(X0,X2)),
inference(forward_demodulation,[],[f12626,f5445]) ).
fof(f12710,plain,
! [X2,X0,X1] : join(meet(X0,X2),meet(join(X0,X1),X2)) = meet(join(X0,X1),meet(X2,join(X1,X0))),
inference(forward_demodulation,[],[f12678,f3]) ).
fof(f12729,plain,
! [X2,X0,X1] : meet(X2,join(X1,X0)) = join(meet(X0,X2),meet(join(X0,X1),X2)),
inference(forward_demodulation,[],[f12710,f689]) ).
fof(f13027,plain,
! [X0,X1] : join(meet(X1,X0),meet(a,meet(X0,join(X1,X0)))) = meet(join(X1,meet(a,X0)),join(meet(a,meet(X0,X1)),X0)),
inference(superposition,[],[f1744,f52]) ).
fof(f13070,plain,
! [X0,X1] : join(meet(X1,a),meet(a,meet(X0,join(X1,a)))) = meet(join(X1,meet(a,X0)),join(meet(a,meet(X0,X1)),a)),
inference(superposition,[],[f1744,f5490]) ).
fof(f13085,plain,
! [X0,X1] : join(meet(a,X0),meet(a,meet(X1,join(a,X0)))) = meet(a,join(meet(a,meet(X1,a)),X0)),
inference(superposition,[],[f1744,f5]) ).
fof(f13095,plain,
! [X0,X1] : join(meet(X0,X1),meet(a,meet(X0,join(X0,X1)))) = meet(join(X0,meet(a,meet(X0,X1))),join(meet(a,X0),X1)),
inference(superposition,[],[f1744,f52]) ).
fof(f13114,plain,
! [X2,X0,X1] : join(meet(join(X0,X1),X2),meet(a,meet(X0,join(join(X0,X1),X2)))) = meet(join(join(X0,X1),meet(a,meet(X0,X2))),join(meet(a,X0),X2)),
inference(superposition,[],[f1744,f6]) ).
fof(f13321,plain,
! [X2,X0,X1] : join(meet(join(X0,X1),X2),meet(a,meet(X0,join(join(X0,X1),X2)))) = meet(join(X2,meet(a,X0)),join(meet(a,meet(X0,X2)),join(X0,X1))),
inference(forward_demodulation,[],[f13114,f6306]) ).
fof(f13338,plain,
! [X0,X1] : meet(join(X1,meet(a,X0)),join(meet(a,meet(X0,X1)),X0)) = join(meet(X0,X1),meet(a,meet(X0,join(X0,X1)))),
inference(forward_demodulation,[],[f13095,f6306]) ).
fof(f13348,plain,
! [X0,X1] : join(meet(a,X0),meet(a,meet(X1,join(a,X0)))) = meet(a,join(meet(X1,a),X0)),
inference(forward_demodulation,[],[f13085,f363]) ).
fof(f13355,plain,
! [X0,X1] : join(meet(X1,a),meet(a,meet(X0,join(X1,a)))) = meet(join(X1,meet(a,X0)),join(a,meet(a,meet(X0,X1)))),
inference(forward_demodulation,[],[f13070,f654]) ).
fof(f13377,plain,
! [X0,X1] : join(meet(X1,X0),meet(a,meet(X0,join(X1,X0)))) = meet(join(X1,meet(a,X0)),join(X0,meet(a,meet(X0,X1)))),
inference(forward_demodulation,[],[f13027,f654]) ).
fof(f13460,plain,
! [X2,X0,X1] : join(meet(join(X0,X1),X2),meet(a,meet(X0,join(join(X0,X1),X2)))) = meet(join(X2,meet(a,X0)),join(X0,join(X1,meet(a,meet(X0,X2))))),
inference(forward_demodulation,[],[f13321,f705]) ).
fof(f13469,plain,
! [X0,X1] : join(meet(X0,X1),meet(a,X0)) = meet(join(X1,meet(a,X0)),join(meet(a,meet(X0,X1)),X0)),
inference(forward_demodulation,[],[f13338,f6]) ).
fof(f13474,plain,
! [X0,X1] : join(meet(a,X0),meet(a,X1)) = meet(a,join(meet(X1,a),X0)),
inference(forward_demodulation,[],[f13348,f178]) ).
fof(f13481,plain,
! [X0,X1] : meet(join(X1,meet(a,X0)),a) = join(meet(X1,a),meet(a,meet(X0,join(X1,a)))),
inference(forward_demodulation,[],[f13355,f5]) ).
fof(f13495,plain,
! [X0,X1] : meet(join(X1,meet(a,X0)),X0) = join(meet(X1,X0),meet(a,meet(X0,join(X1,X0)))),
inference(forward_demodulation,[],[f13377,f138]) ).
fof(f13558,plain,
! [X2,X0,X1] : join(meet(join(X0,X1),X2),meet(a,meet(X0,join(join(X0,X1),X2)))) = meet(join(X2,meet(a,X0)),join(X0,X1)),
inference(forward_demodulation,[],[f13460,f9379]) ).
fof(f13559,plain,
! [X0,X1] : join(meet(X0,X1),meet(a,X0)) = meet(join(X1,meet(a,X0)),join(X0,meet(a,meet(X0,X1)))),
inference(forward_demodulation,[],[f13469,f654]) ).
fof(f13567,plain,
! [X0,X1] : join(meet(X1,a),meet(a,X0)) = meet(join(X1,meet(a,X0)),a),
inference(forward_demodulation,[],[f13481,f862]) ).
fof(f13575,plain,
! [X0,X1] : meet(join(X1,meet(a,X0)),X0) = join(meet(X1,X0),meet(a,X0)),
inference(forward_demodulation,[],[f13495,f45]) ).
fof(f13628,plain,
! [X2,X0,X1] : meet(join(X2,meet(a,X0)),join(X0,X1)) = join(meet(join(X0,X1),X2),meet(a,meet(X0,join(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f13558,f4]) ).
fof(f13629,plain,
! [X0,X1] : meet(join(X1,meet(a,X0)),X0) = join(meet(X0,X1),meet(a,X0)),
inference(forward_demodulation,[],[f13559,f138]) ).
fof(f13635,plain,
! [X0,X1] : meet(a,join(meet(a,X0),X1)) = join(meet(X1,a),meet(a,X0)),
inference(forward_demodulation,[],[f13567,f744]) ).
fof(f13643,plain,
! [X0,X1] : join(meet(X1,X0),meet(a,X0)) = meet(X0,join(meet(a,X0),X1)),
inference(forward_demodulation,[],[f13575,f744]) ).
fof(f13688,plain,
! [X2,X0,X1] : meet(join(X2,meet(a,X0)),join(X0,X1)) = join(meet(join(X0,X1),X2),meet(a,X0)),
inference(forward_demodulation,[],[f13628,f6]) ).
fof(f13689,plain,
! [X0,X1] : join(meet(X0,X1),meet(a,X0)) = meet(X0,join(meet(a,X0),X1)),
inference(forward_demodulation,[],[f13629,f744]) ).
fof(f13728,plain,
! [X2,X0,X1] : join(meet(a,X0),meet(join(X0,X1),X2)) = meet(join(X2,meet(a,X0)),join(X0,X1)),
inference(forward_demodulation,[],[f13688,f3]) ).
fof(f13935,plain,
! [X0,X1] : meet(join(meet(a,X0),X1),meet(a,join(meet(a,a),X0))) = join(meet(a,X0),meet(meet(a,join(meet(a,a),X0)),X1)),
inference(superposition,[],[f1923,f13689]) ).
fof(f13965,plain,
! [X2,X0,X1] : meet(X2,meet(X0,join(meet(a,X0),X1))) = meet(X2,join(meet(a,X0),meet(X0,X1))),
inference(superposition,[],[f654,f13689]) ).
fof(f14008,plain,
! [X0,X1] : meet(join(meet(a,X0),X1),meet(a,join(meet(a,a),X0))) = join(meet(a,X0),meet(a,meet(join(meet(a,a),X0),X1))),
inference(forward_demodulation,[],[f13935,f2]) ).
fof(f14118,plain,
! [X0,X1] : meet(join(meet(a,X0),X1),meet(a,join(meet(a,a),X0))) = meet(a,join(meet(meet(join(meet(a,a),X0),X1),a),X0)),
inference(forward_demodulation,[],[f14008,f13474]) ).
fof(f14190,plain,
! [X0,X1] : meet(join(meet(a,X0),X1),meet(a,join(meet(a,a),X0))) = meet(a,join(X0,meet(meet(join(meet(a,a),X0),X1),a))),
inference(forward_demodulation,[],[f14118,f654]) ).
fof(f14248,plain,
! [X0,X1] : meet(join(meet(a,X0),X1),meet(a,join(meet(a,a),X0))) = meet(a,join(X0,meet(a,meet(join(meet(a,a),X0),X1)))),
inference(forward_demodulation,[],[f14190,f11766]) ).
fof(f14285,plain,
! [X0,X1] : meet(join(meet(a,X0),X1),meet(a,join(a,X0))) = meet(a,join(X0,meet(a,meet(join(a,X0),X1)))),
inference(forward_demodulation,[],[f14248,f52]) ).
fof(f14309,plain,
! [X0,X1] : meet(a,join(X0,meet(a,X1))) = meet(join(meet(a,X0),X1),meet(a,join(a,X0))),
inference(forward_demodulation,[],[f14285,f144]) ).
fof(f14321,plain,
! [X0,X1] : meet(a,join(X0,meet(a,X1))) = meet(a,meet(join(a,X0),join(X1,meet(a,X0)))),
inference(forward_demodulation,[],[f14309,f631]) ).
fof(f14331,plain,
! [X0,X1] : meet(a,join(X0,meet(a,X1))) = meet(a,join(X1,meet(a,X0))),
inference(forward_demodulation,[],[f14321,f144]) ).
fof(f14401,plain,
( ! [X0] : join(meet(a,meet(join(x2,y2),X0)),meet(a,meet(join(x2,y2),X0))) = meet(meet(join(x2,z2),X0),join(meet(a,meet(join(x2,y2),X0)),a))
| ~ spl0_2 ),
inference(superposition,[],[f13643,f163]) ).
fof(f14468,plain,
! [X0,X1] : join(meet(a,X0),meet(X1,X0)) = meet(X0,join(meet(a,X0),X1)),
inference(superposition,[],[f3,f13643]) ).
fof(f14589,plain,
( ! [X0] : join(meet(a,meet(join(x2,y2),X0)),meet(a,meet(join(x2,y2),X0))) = meet(meet(join(x2,z2),X0),join(a,meet(a,meet(join(x2,y2),X0))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f14401,f654]) ).
fof(f14685,plain,
( ! [X0] : join(meet(a,meet(join(x2,y2),X0)),meet(a,meet(join(x2,y2),X0))) = meet(join(x2,z2),meet(X0,join(a,meet(a,meet(join(x2,y2),X0)))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f14589,f2]) ).
fof(f14749,plain,
( ! [X0] : meet(join(x2,z2),meet(X0,a)) = join(meet(a,meet(join(x2,y2),X0)),meet(a,meet(join(x2,y2),X0)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f14685,f5]) ).
fof(f14792,plain,
( ! [X0] : meet(join(x2,z2),meet(X0,a)) = meet(meet(join(x2,y2),X0),join(meet(a,meet(join(x2,y2),X0)),a))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f14749,f13643]) ).
fof(f14821,plain,
( ! [X0] : meet(join(x2,z2),meet(X0,a)) = meet(meet(join(x2,y2),X0),join(a,meet(a,meet(join(x2,y2),X0))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f14792,f654]) ).
fof(f14833,plain,
( ! [X0] : meet(join(x2,z2),meet(X0,a)) = meet(join(x2,y2),meet(X0,join(a,meet(a,meet(join(x2,y2),X0)))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f14821,f2]) ).
fof(f14843,plain,
( ! [X0] : meet(join(x2,z2),meet(X0,a)) = meet(join(x2,y2),meet(X0,a))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f14833,f5]) ).
fof(f14851,plain,
( ! [X0] : meet(join(x2,z2),meet(X0,a)) = meet(a,meet(X0,join(y2,x2)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f14843,f863]) ).
fof(f14858,plain,
( ! [X0] : meet(join(x2,z2),meet(X0,a)) = meet(a,meet(X0,join(x2,y2)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f14851,f168]) ).
fof(f14864,plain,
( ! [X0] : meet(a,meet(X0,join(z2,x2))) = meet(a,meet(X0,join(x2,y2)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f14858,f863]) ).
fof(f14867,plain,
( ! [X0] : meet(a,meet(X0,join(x2,z2))) = meet(a,meet(X0,join(x2,y2)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f14864,f168]) ).
fof(f16690,plain,
! [X2,X3,X0,X1,X4] : join(X4,meet(X0,meet(X1,join(X2,X3)))) = join(X4,join(meet(X0,meet(X1,join(X3,meet(a,X2)))),meet(X0,meet(X1,join(X2,meet(a,X3)))))),
inference(superposition,[],[f9652,f164]) ).
fof(f16704,plain,
! [X2,X3,X0,X1,X4] : join(X4,meet(X0,meet(X1,join(X2,X3)))) = join(X4,meet(X0,meet(X1,join(X3,X2)))),
inference(forward_demodulation,[],[f16690,f164]) ).
fof(f17663,plain,
! [X2,X3,X0,X1] : meet(join(meet(X0,X1),meet(a,X2)),join(X2,X3)) = join(meet(a,X2),meet(X0,meet(X1,join(X2,X3)))),
inference(superposition,[],[f13728,f158]) ).
fof(f18876,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = join(meet(X0,join(X2,X1)),meet(X0,X1)),
inference(superposition,[],[f65,f8970]) ).
fof(f19000,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = join(meet(X0,X1),meet(X0,join(X2,X1))),
inference(forward_demodulation,[],[f18876,f3]) ).
fof(f19277,plain,
! [X2,X3,X0,X1,X4] : join(X4,meet(X0,meet(X1,join(X2,X3)))) = join(X4,meet(meet(X1,join(X3,X2)),X0)),
inference(superposition,[],[f11766,f168]) ).
fof(f19279,plain,
! [X2,X3,X0,X1] : join(X3,meet(join(X0,X1),X2)) = join(X3,meet(join(X1,X0),X2)),
inference(superposition,[],[f11766,f744]) ).
fof(f19281,plain,
! [X2,X3,X0,X1] : join(X3,meet(X0,join(X1,X2))) = join(X3,meet(join(X2,X1),X0)),
inference(superposition,[],[f11766,f654]) ).
fof(f19283,plain,
! [X2,X3,X0,X1] : join(X3,meet(X0,meet(X2,X1))) = join(X3,meet(X0,meet(X1,X2))),
inference(superposition,[],[f11766,f1025]) ).
fof(f19285,plain,
! [X2,X3,X0,X1] : join(X3,meet(X0,meet(X1,X2))) = join(X3,meet(X2,meet(X0,X1))),
inference(superposition,[],[f11766,f2]) ).
fof(f19470,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = join(meet(X2,X1),X0),
inference(superposition,[],[f3,f11766]) ).
fof(f19471,plain,
! [X2,X3,X0,X1] : join(X0,join(meet(X2,X1),X3)) = join(join(X0,meet(X1,X2)),X3),
inference(superposition,[],[f4,f11766]) ).
fof(f19477,plain,
! [X2,X3,X0,X1] : join(X3,join(X0,meet(X1,X2))) = join(meet(X2,X1),join(X3,X0)),
inference(superposition,[],[f111,f11766]) ).
fof(f19482,plain,
! [X2,X3,X0,X1,X4] : meet(X3,meet(X4,join(meet(X2,X1),X0))) = meet(X3,meet(X4,join(X0,meet(X1,X2)))),
inference(superposition,[],[f168,f11766]) ).
fof(f19495,plain,
! [X2,X3,X0,X1] : meet(X3,join(X0,meet(X1,X2))) = meet(X3,join(meet(X2,X1),X0)),
inference(superposition,[],[f654,f11766]) ).
fof(f19498,plain,
! [X2,X3,X0,X1] : meet(X3,join(X0,meet(X1,X2))) = meet(join(meet(X2,X1),X0),X3),
inference(superposition,[],[f744,f11766]) ).
fof(f19505,plain,
! [X2,X3,X0,X1] : join(X3,join(X0,meet(X1,X2))) = join(X3,join(meet(X2,X1),X0)),
inference(superposition,[],[f9652,f11766]) ).
fof(f19514,plain,
! [X2,X3,X0,X1] : join(join(X0,X1),meet(X2,X3)) = join(X0,join(X1,meet(X3,X2))),
inference(superposition,[],[f4,f11766]) ).
fof(f19527,plain,
! [X2,X3,X0,X1] : join(X0,join(X1,meet(X2,X3))) = join(X0,join(X1,meet(X3,X2))),
inference(forward_demodulation,[],[f19514,f4]) ).
fof(f19535,plain,
! [X2,X3,X0,X1] : join(X0,join(meet(X1,X2),X3)) = join(X0,join(meet(X2,X1),X3)),
inference(forward_demodulation,[],[f19471,f4]) ).
fof(f19573,plain,
! [X2,X3,X0,X1,X4] : join(X4,meet(X0,meet(X1,join(X2,X3)))) = join(X4,meet(X1,meet(join(X3,X2),X0))),
inference(forward_demodulation,[],[f19277,f2]) ).
fof(f19722,plain,
! [X2,X3,X0,X1,X4] : join(meet(X0,meet(X1,join(X2,X3))),X4) = join(X4,meet(meet(X1,join(X3,X2)),X0)),
inference(superposition,[],[f19470,f168]) ).
fof(f19735,plain,
! [X2,X3,X0,X1] : join(meet(X0,meet(X1,X2)),X3) = join(X3,meet(X2,meet(X0,X1))),
inference(superposition,[],[f19470,f2]) ).
fof(f19746,plain,
! [X2,X3,X0,X1] : join(meet(X0,join(X1,X2)),X3) = join(X3,meet(X0,join(X2,X1))),
inference(superposition,[],[f19470,f744]) ).
fof(f19815,plain,
! [X2,X0,X1] : join(meet(X0,X1),X2) = join(meet(X1,X0),X2),
inference(superposition,[],[f3,f19470]) ).
fof(f19880,plain,
! [X2,X3,X0,X1] : join(meet(X2,X1),join(X0,X3)) = join(X3,join(X0,meet(X1,X2))),
inference(superposition,[],[f111,f19470]) ).
fof(f19886,plain,
! [X2,X3,X0,X1,X4] : meet(X3,meet(X4,join(X0,meet(X2,X1)))) = meet(X3,meet(X4,join(X0,meet(X1,X2)))),
inference(superposition,[],[f168,f19470]) ).
fof(f19899,plain,
! [X2,X3,X0,X1] : meet(X3,join(X0,meet(X1,X2))) = meet(X3,join(X0,meet(X2,X1))),
inference(superposition,[],[f654,f19470]) ).
fof(f19948,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X2,X3)) = join(meet(X3,X2),meet(X1,X0)),
inference(superposition,[],[f11766,f19470]) ).
fof(f20043,plain,
! [X2,X3,X0,X1,X4] : join(meet(X0,meet(X1,join(X2,X3))),X4) = join(X4,meet(X1,meet(join(X3,X2),X0))),
inference(forward_demodulation,[],[f19722,f2]) ).
fof(f20255,plain,
! [X2,X3,X0,X1] : join(meet(X0,join(X1,X2)),X3) = join(meet(X0,join(X2,X1)),X3),
inference(superposition,[],[f19815,f744]) ).
fof(f20679,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(meet(a,join(X1,meet(a,X0))),join(X0,meet(a,X1))))) = join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(join(X0,meet(a,X1)),meet(a,join(X3,meet(a,join(X1,meet(a,X0)))))))),
inference(superposition,[],[f117,f81]) ).
fof(f20681,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(meet(a,join(X0,meet(a,X1))),join(X1,meet(X0,a))))) = join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(join(X1,meet(X0,a)),meet(a,join(X3,meet(a,join(X0,meet(a,X1)))))))),
inference(superposition,[],[f117,f61]) ).
fof(f20878,plain,
! [X2,X3,X0,X1] : join(join(X3,meet(a,join(X1,X2))),meet(X0,join(X1,join(X2,meet(a,X3))))) = join(join(X3,meet(a,join(X1,X2))),meet(X0,join(X1,join(X2,X3)))),
inference(superposition,[],[f1241,f117]) ).
fof(f20973,plain,
! [X2,X3,X0,X1] : join(join(X3,meet(a,join(X1,X2))),meet(X0,join(X1,join(X2,meet(a,X3))))) = join(X3,join(meet(a,join(X1,X2)),meet(X0,join(X1,join(X2,X3))))),
inference(forward_demodulation,[],[f20878,f4]) ).
fof(f21115,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(meet(a,join(X0,meet(a,X1))),join(X1,meet(X0,a))))) = join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X1,join(meet(X0,a),meet(a,join(X3,meet(a,join(X0,meet(a,X1))))))))),
inference(forward_demodulation,[],[f20681,f4]) ).
fof(f21117,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(meet(a,join(X1,meet(a,X0))),join(X0,meet(a,X1))))) = join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X0,join(meet(a,X1),meet(a,join(X3,meet(a,join(X1,meet(a,X0))))))))),
inference(forward_demodulation,[],[f20679,f4]) ).
fof(f21167,plain,
! [X2,X3,X0,X1] : join(X3,join(meet(a,join(X1,X2)),meet(X0,join(X1,join(X2,X3))))) = join(X3,join(meet(a,join(X1,X2)),meet(X0,join(X1,join(X2,meet(a,X3)))))),
inference(forward_demodulation,[],[f20973,f4]) ).
fof(f21290,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(meet(a,join(X0,meet(a,X1))),join(X1,meet(X0,a))))) = join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X1,meet(a,join(meet(a,join(X3,meet(a,join(X0,meet(a,X1))))),X0))))),
inference(forward_demodulation,[],[f21115,f13635]) ).
fof(f21292,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(meet(a,join(X1,meet(a,X0))),join(X0,meet(a,X1))))) = join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X0,meet(a,join(meet(join(X3,meet(a,join(X1,meet(a,X0)))),a),X1))))),
inference(forward_demodulation,[],[f21117,f13474]) ).
fof(f21424,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(meet(a,join(X0,meet(a,X1))),join(X1,meet(X0,a))))) = join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X1,meet(a,join(X0,meet(a,join(X3,meet(a,join(X0,meet(a,X1)))))))))),
inference(forward_demodulation,[],[f21290,f11764]) ).
fof(f21426,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(meet(a,join(X1,meet(a,X0))),join(X0,meet(a,X1))))) = join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X0,meet(a,join(X1,meet(join(X3,meet(a,join(X1,meet(a,X0)))),a)))))),
inference(forward_demodulation,[],[f21292,f11764]) ).
fof(f21541,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X1,meet(a,join(X0,meet(a,join(X3,meet(a,join(X0,meet(a,X1)))))))))) = meet(X2,join(X3,join(join(X1,meet(X0,a)),meet(a,join(X0,meet(a,X1)))))),
inference(forward_demodulation,[],[f21424,f9652]) ).
fof(f21543,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(meet(a,join(X1,meet(a,X0))),join(X0,meet(a,X1))))) = join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X0,meet(a,join(X1,meet(a,join(X3,meet(a,join(X1,meet(a,X0)))))))))),
inference(forward_demodulation,[],[f21426,f19899]) ).
fof(f21627,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X1,meet(a,join(X0,meet(a,join(X3,meet(a,join(X0,meet(a,X1)))))))))) = meet(X2,join(X3,join(X1,join(meet(X0,a),meet(a,join(X0,meet(a,X1))))))),
inference(forward_demodulation,[],[f21541,f4]) ).
fof(f21629,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X0,meet(a,join(X1,meet(a,join(X3,meet(a,join(X1,meet(a,X0)))))))))) = meet(X2,join(X3,join(join(X0,meet(a,X1)),meet(a,join(X1,meet(a,X0)))))),
inference(forward_demodulation,[],[f21543,f9652]) ).
fof(f21699,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X1,meet(a,join(X0,meet(a,join(X3,meet(a,join(X0,meet(a,X1)))))))))) = meet(X2,join(X3,join(X1,join(meet(X0,a),meet(a,join(X1,X0)))))),
inference(forward_demodulation,[],[f21627,f3511]) ).
fof(f21701,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X0,meet(a,join(X1,meet(a,join(X3,meet(a,join(X1,meet(a,X0)))))))))) = meet(X2,join(X3,join(X0,join(meet(a,X1),meet(a,join(X1,meet(a,X0))))))),
inference(forward_demodulation,[],[f21629,f4]) ).
fof(f21763,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X1,meet(a,join(X0,meet(a,join(X3,meet(a,join(X0,meet(a,X1)))))))))) = meet(X2,join(X3,join(X1,meet(a,join(meet(a,join(X1,X0)),X0))))),
inference(forward_demodulation,[],[f21699,f13635]) ).
fof(f21765,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X0,meet(a,join(X1,meet(a,join(X3,meet(a,join(X1,meet(a,X0)))))))))) = meet(X2,join(X3,join(X0,join(meet(a,X1),meet(a,join(X0,X1)))))),
inference(forward_demodulation,[],[f21701,f1301]) ).
fof(f21814,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X1,meet(a,join(X0,meet(a,join(X3,meet(a,join(X0,meet(a,X1)))))))))) = meet(X2,join(X3,join(X1,meet(a,join(X0,meet(a,join(X1,X0))))))),
inference(forward_demodulation,[],[f21763,f11764]) ).
fof(f21816,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X0,meet(a,join(X1,meet(a,join(X3,meet(a,join(X1,meet(a,X0)))))))))) = meet(X2,join(X3,join(X0,meet(a,join(X0,X1))))),
inference(forward_demodulation,[],[f21765,f19000]) ).
fof(f22577,plain,
! [X2,X0,X1] : join(meet(X0,meet(a,X1)),X2) = join(X2,join(meet(X0,meet(a,X1)),meet(a,meet(X1,join(X0,X2))))),
inference(superposition,[],[f1898,f158]) ).
fof(f22640,plain,
! [X0,X1] : join(meet(a,meet(join(X0,X1),X0)),X1) = join(X1,join(meet(a,meet(join(X0,X1),X0)),meet(a,join(X0,X1)))),
inference(superposition,[],[f1898,f52]) ).
fof(f22658,plain,
( join(meet(a,meet(a,x2)),z2) = join(z2,join(meet(a,meet(a,x2)),meet(a,meet(a,join(x2,y2)))))
| ~ spl0_2 ),
inference(superposition,[],[f1898,f25]) ).
fof(f22666,plain,
! [X0,X1] : join(meet(a,meet(join(X0,X1),X1)),X0) = join(X0,join(meet(a,meet(join(X0,X1),X1)),meet(a,join(X0,X1)))),
inference(superposition,[],[f1898,f601]) ).
fof(f22806,plain,
! [X0,X1] : join(meet(a,meet(join(X0,X1),X1)),X0) = join(X0,join(meet(join(X0,X1),a),meet(a,meet(join(X0,X1),X1)))),
inference(forward_demodulation,[],[f22666,f19505]) ).
fof(f22810,plain,
( join(meet(a,meet(a,x2)),z2) = join(z2,meet(a,join(meet(meet(a,join(x2,y2)),a),meet(a,x2))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f22658,f13474]) ).
fof(f22828,plain,
! [X0,X1] : join(meet(a,meet(join(X0,X1),X0)),X1) = join(X1,join(meet(join(X0,X1),a),meet(a,meet(join(X0,X1),X0)))),
inference(forward_demodulation,[],[f22640,f19505]) ).
fof(f22885,plain,
! [X2,X0,X1] : join(meet(X0,meet(a,X1)),X2) = join(X2,meet(a,meet(X1,join(X0,X2)))),
inference(forward_demodulation,[],[f22577,f12491]) ).
fof(f22996,plain,
! [X0,X1] : join(meet(a,meet(join(X0,X1),X1)),X0) = join(X0,join(meet(a,join(X0,X1)),meet(a,meet(join(X0,X1),X1)))),
inference(forward_demodulation,[],[f22806,f19535]) ).
fof(f23000,plain,
( join(meet(a,meet(a,x2)),z2) = join(z2,meet(a,join(meet(a,x2),meet(meet(a,join(x2,y2)),a))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f22810,f11764]) ).
fof(f23018,plain,
! [X0,X1] : join(meet(a,meet(join(X0,X1),X0)),X1) = join(X1,join(meet(a,join(X0,X1)),meet(a,meet(join(X0,X1),X0)))),
inference(forward_demodulation,[],[f22828,f19535]) ).
fof(f23160,plain,
! [X0,X1] : join(X0,meet(a,join(X0,X1))) = join(meet(a,meet(join(X0,X1),X1)),X0),
inference(forward_demodulation,[],[f22996,f159]) ).
fof(f23164,plain,
( join(meet(a,meet(a,x2)),z2) = join(z2,meet(a,join(meet(a,x2),meet(a,meet(a,join(x2,y2))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f23000,f19899]) ).
fof(f23182,plain,
! [X0,X1] : join(X1,meet(a,join(X0,X1))) = join(meet(a,meet(join(X0,X1),X0)),X1),
inference(forward_demodulation,[],[f23018,f159]) ).
fof(f23306,plain,
! [X0,X1] : join(X0,meet(a,join(X0,X1))) = join(X0,meet(X1,meet(a,join(X0,X1)))),
inference(forward_demodulation,[],[f23160,f19735]) ).
fof(f23309,plain,
( join(meet(a,meet(a,x2)),z2) = join(z2,join(meet(a,x2),meet(a,meet(a,join(x2,y2)))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f23164,f7160]) ).
fof(f23324,plain,
! [X0,X1] : join(X1,meet(a,join(X0,X1))) = join(X1,meet(X0,meet(a,join(X0,X1)))),
inference(forward_demodulation,[],[f23182,f19735]) ).
fof(f23410,plain,
! [X0,X1] : join(X0,meet(X1,a)) = join(X0,meet(a,join(X0,X1))),
inference(forward_demodulation,[],[f23306,f862]) ).
fof(f23412,plain,
( join(meet(a,meet(a,x2)),z2) = join(z2,meet(join(meet(a,a),meet(a,x2)),join(x2,y2)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f23309,f17663]) ).
fof(f23423,plain,
! [X0,X1] : join(X1,meet(X0,a)) = join(X1,meet(a,join(X0,X1))),
inference(forward_demodulation,[],[f23324,f178]) ).
fof(f23483,plain,
( join(meet(a,meet(a,x2)),z2) = join(z2,meet(join(y2,x2),join(meet(a,a),meet(a,x2))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f23412,f19281]) ).
fof(f23543,plain,
( join(meet(a,meet(a,x2)),z2) = join(z2,meet(join(x2,y2),join(meet(a,a),meet(a,x2))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f23483,f19279]) ).
fof(f23600,plain,
( join(meet(a,meet(a,x2)),z2) = join(z2,meet(join(x2,y2),meet(a,join(meet(a,a),x2))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f23543,f13965]) ).
fof(f23639,plain,
( join(meet(a,meet(a,x2)),z2) = join(z2,meet(join(x2,y2),meet(a,join(x2,meet(a,a)))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f23600,f16704]) ).
fof(f23673,plain,
( join(meet(a,meet(a,x2)),z2) = join(z2,meet(a,meet(join(meet(a,a),x2),join(x2,y2))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f23639,f19573]) ).
fof(f23701,plain,
( join(meet(a,meet(a,x2)),z2) = join(z2,meet(a,meet(join(x2,y2),join(meet(a,a),x2))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f23673,f19283]) ).
fof(f23726,plain,
( join(meet(a,meet(a,x2)),z2) = join(z2,meet(a,meet(join(x2,y2),join(x2,meet(a,a)))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f23701,f16704]) ).
fof(f23746,plain,
( join(meet(a,meet(a,x2)),z2) = join(z2,meet(a,meet(join(x2,y2),join(x2,a))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f23726,f52]) ).
fof(f23765,plain,
( join(meet(a,meet(a,x2)),z2) = join(z2,meet(a,meet(join(x2,y2),join(a,x2))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f23746,f16704]) ).
fof(f23779,plain,
( join(meet(a,meet(a,x2)),z2) = join(z2,meet(a,meet(join(a,x2),join(x2,y2))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f23765,f19283]) ).
fof(f23792,plain,
( join(z2,meet(a,join(x2,y2))) = join(meet(a,meet(a,x2)),z2)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f23779,f144]) ).
fof(f23802,plain,
( join(z2,meet(a,join(x2,y2))) = join(z2,meet(x2,meet(a,a)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f23792,f19735]) ).
fof(f23811,plain,
( join(z2,meet(a,join(x2,y2))) = join(z2,meet(a,meet(x2,a)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f23802,f19285]) ).
fof(f23819,plain,
( join(z2,meet(a,join(x2,y2))) = join(z2,meet(a,meet(a,x2)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f23811,f19285]) ).
fof(f23827,plain,
( join(z2,meet(a,join(x2,y2))) = join(z2,meet(a,x2))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f23819,f174]) ).
fof(f23835,definition,
( spl0_10
<=> join(z2,meet(a,join(x2,y2))) = join(z2,meet(a,x2)) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f23837,plain,
( join(z2,meet(a,join(x2,y2))) = join(z2,meet(a,x2))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f23835]) ).
fof(f23838,plain,
( spl0_10
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f23827,f23,f23835]) ).
fof(f29666,plain,
! [X2,X0,X1] : meet(meet(X1,join(X2,X0)),join(meet(a,meet(X1,join(X2,X0))),X0)) = join(meet(a,meet(X1,join(X2,X0))),meet(X0,X1)),
inference(superposition,[],[f14468,f862]) ).
fof(f29940,plain,
! [X2,X0,X1] : meet(meet(X1,join(X2,X0)),join(meet(a,meet(X1,join(X2,X0))),X0)) = join(meet(X0,X1),meet(X1,meet(join(X0,X2),a))),
inference(forward_demodulation,[],[f29666,f20043]) ).
fof(f30078,plain,
! [X2,X0,X1] : meet(meet(X1,join(X2,X0)),join(meet(a,meet(X1,join(X2,X0))),X0)) = join(meet(X0,X1),meet(X1,meet(a,join(X0,X2)))),
inference(forward_demodulation,[],[f29940,f19283]) ).
fof(f30175,plain,
! [X2,X0,X1] : meet(meet(X1,join(X2,X0)),join(X0,meet(a,meet(X1,join(X2,X0))))) = join(meet(X0,X1),meet(X1,meet(a,join(X0,X2)))),
inference(forward_demodulation,[],[f30078,f654]) ).
fof(f30243,plain,
! [X2,X0,X1] : meet(X1,meet(join(X2,X0),join(X0,meet(a,meet(X1,join(X2,X0)))))) = join(meet(X0,X1),meet(X1,meet(a,join(X0,X2)))),
inference(forward_demodulation,[],[f30175,f2]) ).
fof(f30295,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,meet(a,join(X0,X2)))) = meet(X1,meet(join(X2,X0),join(meet(X2,meet(a,X1)),X0))),
inference(forward_demodulation,[],[f30243,f22885]) ).
fof(f30322,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,meet(a,join(X0,X2)))) = meet(X1,join(meet(X2,meet(a,X1)),X0)),
inference(forward_demodulation,[],[f30295,f362]) ).
fof(f30379,plain,
! [X2,X0,X1] : join(X1,meet(join(X0,X2),a)) = join(X1,meet(a,join(X0,join(X1,X2)))),
inference(superposition,[],[f23423,f3149]) ).
fof(f30380,plain,
! [X2,X0,X1] : join(X2,meet(join(X0,X1),a)) = join(X2,meet(a,join(X0,join(X1,X2)))),
inference(superposition,[],[f23423,f4]) ).
fof(f30422,plain,
! [X2,X0,X1] : join(join(X0,X1),meet(X2,a)) = join(join(X0,X1),meet(a,join(X0,join(X1,X2)))),
inference(superposition,[],[f23423,f111]) ).
fof(f30467,plain,
! [X0,X1] : meet(a,join(X1,X0)) = meet(a,meet(join(X1,X0),join(X0,meet(X1,a)))),
inference(superposition,[],[f351,f23423]) ).
fof(f30575,plain,
! [X0,X1] : meet(a,join(X1,X0)) = meet(a,join(meet(X1,a),X0)),
inference(forward_demodulation,[],[f30467,f2505]) ).
fof(f30610,plain,
! [X2,X0,X1] : join(join(X0,X1),meet(X2,a)) = join(X0,join(X1,meet(a,join(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f30422,f4]) ).
fof(f30645,plain,
! [X2,X0,X1] : join(X2,meet(a,join(X0,X1))) = join(X2,meet(a,join(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f30380,f11766]) ).
fof(f30646,plain,
! [X2,X0,X1] : join(X1,meet(a,join(X0,X2))) = join(X1,meet(a,join(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f30379,f11766]) ).
fof(f30719,plain,
! [X2,X0,X1] : join(X0,join(X1,meet(X2,a))) = join(X0,join(X1,meet(a,join(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f30610,f4]) ).
fof(f30812,plain,
! [X2,X0,X1] : join(X0,join(X1,meet(X2,a))) = join(X0,join(X1,meet(a,join(X0,X2)))),
inference(forward_demodulation,[],[f30719,f30646]) ).
fof(f35051,plain,
! [X2,X0,X1] : join(meet(join(X0,X1),X2),meet(X0,X2)) = meet(join(meet(join(X0,X1),X2),X0),meet(join(X0,X1),X2)),
inference(superposition,[],[f9478,f190]) ).
fof(f35242,plain,
! [X2,X0,X1] : join(meet(join(X0,X1),X2),meet(X0,X2)) = meet(meet(join(X0,X1),X2),join(X0,meet(X2,join(X0,X1)))),
inference(forward_demodulation,[],[f35051,f19498]) ).
fof(f35398,plain,
! [X2,X0,X1] : join(meet(join(X0,X1),X2),meet(X0,X2)) = meet(join(X0,X1),meet(X2,join(X0,meet(X2,join(X0,X1))))),
inference(forward_demodulation,[],[f35242,f2]) ).
fof(f35509,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = join(meet(join(X0,X1),X2),meet(X0,X2)),
inference(forward_demodulation,[],[f35398,f12166]) ).
fof(f35600,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = join(meet(X2,X0),meet(X2,join(X0,X1))),
inference(forward_demodulation,[],[f35509,f19948]) ).
fof(f35864,plain,
! [X2,X3,X0,X1] : meet(X3,join(X0,join(X1,X2))) = join(meet(X3,join(X0,X1)),meet(X3,join(X0,join(X1,X2)))),
inference(superposition,[],[f19000,f111]) ).
fof(f35882,plain,
! [X2,X3,X0,X1] : meet(X0,meet(X1,join(X2,X3))) = join(meet(meet(X0,X1),X3),meet(X0,meet(X1,join(X2,X3)))),
inference(superposition,[],[f19000,f2]) ).
fof(f35898,plain,
( meet(a,join(x2,y2)) = join(meet(a,z2),meet(a,join(x2,y2)))
| ~ spl0_2 ),
inference(superposition,[],[f19000,f25]) ).
fof(f36070,plain,
( meet(a,join(x2,y2)) = meet(a,join(meet(join(x2,y2),a),z2))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f35898,f13474]) ).
fof(f36083,plain,
! [X2,X3,X0,X1] : meet(X0,meet(X1,join(X2,X3))) = join(meet(X0,meet(X1,X3)),meet(X0,meet(X1,join(X2,X3)))),
inference(forward_demodulation,[],[f35882,f2]) ).
fof(f36204,plain,
( meet(a,join(x2,y2)) = meet(a,join(z2,meet(join(x2,y2),a)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f36070,f654]) ).
fof(f36272,plain,
( meet(a,join(x2,y2)) = meet(a,join(z2,meet(a,join(x2,y2))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f36204,f19899]) ).
fof(f36328,plain,
( meet(a,join(x2,y2)) = meet(a,join(z2,meet(a,x2)))
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f36272,f23837]) ).
fof(f36370,plain,
( meet(a,join(x2,y2)) = meet(a,join(x2,meet(a,z2)))
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f36328,f14331]) ).
fof(f36404,definition,
( spl0_16
<=> meet(a,join(x2,y2)) = meet(a,join(x2,meet(a,z2))) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f36406,plain,
( meet(a,join(x2,y2)) = meet(a,join(x2,meet(a,z2)))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f36404]) ).
fof(f36407,plain,
( spl0_16
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f36370,f23835,f23,f36404]) ).
fof(f36507,plain,
( join(x2,meet(a,z2)) = join(join(x2,meet(a,z2)),meet(a,join(x2,y2)))
| ~ spl0_16 ),
inference(superposition,[],[f65,f36406]) ).
fof(f36569,plain,
( join(x2,meet(a,z2)) = join(meet(a,join(y2,x2)),join(x2,meet(a,z2)))
| ~ spl0_16 ),
inference(forward_demodulation,[],[f36507,f19746]) ).
fof(f36648,plain,
( join(x2,meet(a,z2)) = join(meet(a,join(x2,y2)),join(x2,meet(a,z2)))
| ~ spl0_16 ),
inference(forward_demodulation,[],[f36569,f20255]) ).
fof(f36722,plain,
( join(x2,meet(a,z2)) = join(x2,join(meet(a,z2),meet(join(x2,y2),a)))
| ~ spl0_16 ),
inference(forward_demodulation,[],[f36648,f19477]) ).
fof(f36786,plain,
( join(x2,meet(a,z2)) = join(x2,join(meet(a,z2),meet(a,join(x2,y2))))
| ~ spl0_16 ),
inference(forward_demodulation,[],[f36722,f19527]) ).
fof(f36842,plain,
( join(x2,meet(a,z2)) = join(x2,join(meet(a,z2),meet(y2,a)))
| ~ spl0_16 ),
inference(forward_demodulation,[],[f36786,f30812]) ).
fof(f36885,plain,
( join(x2,meet(a,z2)) = join(x2,join(meet(a,y2),meet(a,z2)))
| ~ spl0_16 ),
inference(forward_demodulation,[],[f36842,f19505]) ).
fof(f36923,plain,
( join(x2,meet(a,z2)) = join(x2,meet(a,join(meet(z2,a),y2)))
| ~ spl0_16 ),
inference(forward_demodulation,[],[f36885,f13474]) ).
fof(f36958,plain,
( join(x2,meet(a,z2)) = join(x2,meet(a,join(y2,meet(z2,a))))
| ~ spl0_16 ),
inference(forward_demodulation,[],[f36923,f11764]) ).
fof(f36983,plain,
( join(x2,meet(a,z2)) = join(x2,meet(a,join(y2,meet(a,z2))))
| ~ spl0_16 ),
inference(forward_demodulation,[],[f36958,f19899]) ).
fof(f37010,definition,
( spl0_19
<=> join(x2,meet(a,z2)) = join(x2,meet(a,join(y2,meet(a,z2)))) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f37012,plain,
( join(x2,meet(a,z2)) = join(x2,meet(a,join(y2,meet(a,z2))))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f37010]) ).
fof(f37013,plain,
( spl0_19
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f36983,f36404,f37010]) ).
fof(f37682,plain,
! [X2,X3,X0,X1] : meet(X2,join(join(X0,meet(a,X1)),join(X3,meet(a,join(X1,meet(a,X0)))))) = join(meet(X2,join(join(X0,meet(a,X1)),meet(a,join(X3,meet(a,join(X1,meet(a,X0))))))),meet(X2,join(X3,meet(a,join(X0,X1))))),
inference(superposition,[],[f113,f81]) ).
fof(f37705,plain,
! [X2,X3,X0,X1] : meet(X2,join(join(X1,meet(a,X0)),join(X3,meet(join(X0,meet(a,X1)),a)))) = join(meet(X2,join(join(X1,meet(a,X0)),meet(a,join(X3,meet(join(X0,meet(a,X1)),a))))),meet(X2,join(X3,meet(a,join(X0,X1))))),
inference(superposition,[],[f113,f64]) ).
fof(f37803,plain,
! [X2,X0,X1] : join(meet(a,join(X1,join(X2,meet(a,X0)))),meet(a,join(X0,meet(a,join(X1,X2))))) = meet(join(join(X0,meet(a,join(X1,X2))),meet(a,join(X1,join(X2,meet(a,X0))))),meet(a,join(X0,join(X1,X2)))),
inference(superposition,[],[f2377,f113]) ).
fof(f37920,plain,
! [X2,X0,X1] : join(meet(a,join(X1,join(X2,meet(a,X0)))),meet(a,join(X0,meet(a,join(X1,X2))))) = meet(a,meet(join(X0,join(X1,X2)),join(meet(a,join(X1,join(X2,meet(a,X0)))),join(X0,meet(a,join(X1,X2)))))),
inference(forward_demodulation,[],[f37803,f631]) ).
fof(f37985,plain,
! [X2,X3,X0,X1] : meet(X2,join(join(X1,meet(a,X0)),join(X3,meet(join(X0,meet(a,X1)),a)))) = join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(meet(a,join(X3,meet(join(X0,meet(a,X1)),a))),join(X1,meet(a,X0))))),
inference(forward_demodulation,[],[f37705,f19746]) ).
fof(f38005,plain,
! [X2,X3,X0,X1] : meet(X2,join(join(X0,meet(a,X1)),join(X3,meet(a,join(X1,meet(a,X0)))))) = join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(meet(a,join(X3,meet(a,join(X1,meet(a,X0))))),join(X0,meet(a,X1))))),
inference(forward_demodulation,[],[f37682,f19746]) ).
fof(f38183,plain,
! [X2,X0,X1] : join(meet(a,join(X1,join(X2,meet(a,X0)))),meet(a,join(X0,meet(a,join(X1,X2))))) = meet(a,meet(join(X0,join(X1,X2)),join(join(X0,meet(a,join(X1,X2))),meet(join(X1,join(X2,meet(a,X0))),a)))),
inference(forward_demodulation,[],[f37920,f19482]) ).
fof(f38239,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(join(X1,meet(a,X0)),meet(a,join(X3,meet(join(X0,meet(a,X1)),a)))))) = meet(X2,join(join(X1,meet(a,X0)),join(X3,meet(join(X0,meet(a,X1)),a)))),
inference(forward_demodulation,[],[f37985,f11764]) ).
fof(f38258,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(join(X0,meet(a,X1)),meet(a,join(X3,meet(a,join(X1,meet(a,X0)))))))) = meet(X2,join(join(X0,meet(a,X1)),join(X3,meet(a,join(X1,meet(a,X0)))))),
inference(forward_demodulation,[],[f38005,f11764]) ).
fof(f38367,plain,
! [X2,X0,X1] : join(meet(a,join(X1,join(X2,meet(a,X0)))),meet(a,join(X0,meet(a,join(X1,X2))))) = meet(a,meet(join(X0,join(X1,X2)),join(join(X0,meet(a,join(X1,X2))),meet(a,join(X1,join(X2,meet(a,X0))))))),
inference(forward_demodulation,[],[f38183,f19886]) ).
fof(f38415,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(join(X1,meet(a,X0)),meet(a,join(X3,meet(join(X0,meet(a,X1)),a)))))) = meet(X2,join(join(X1,meet(a,X0)),join(X3,meet(a,join(X0,meet(a,X1)))))),
inference(forward_demodulation,[],[f38239,f19527]) ).
fof(f38432,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(join(X0,meet(a,X1)),meet(a,join(X3,meet(a,join(X1,meet(a,X0)))))))) = meet(X2,join(X0,join(meet(a,X1),join(X3,meet(a,join(X1,meet(a,X0))))))),
inference(forward_demodulation,[],[f38258,f4]) ).
fof(f38510,plain,
! [X2,X0,X1] : join(meet(a,join(X1,join(X2,meet(a,X0)))),meet(a,join(X0,meet(a,join(X1,X2))))) = meet(a,meet(join(X0,join(X1,X2)),join(X0,join(meet(a,join(X1,X2)),meet(a,join(X1,join(X2,meet(a,X0)))))))),
inference(forward_demodulation,[],[f38367,f4]) ).
fof(f38551,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(join(X1,meet(a,X0)),meet(a,join(X3,meet(join(X0,meet(a,X1)),a)))))) = meet(X2,join(X1,join(meet(a,X0),join(X3,meet(a,join(X0,meet(a,X1))))))),
inference(forward_demodulation,[],[f38415,f4]) ).
fof(f38566,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X0,join(meet(a,X1),meet(a,join(X3,meet(a,join(X1,meet(a,X0))))))))) = meet(X2,join(X0,join(meet(a,X1),join(X3,meet(a,join(X1,meet(a,X0))))))),
inference(forward_demodulation,[],[f38432,f4]) ).
fof(f38631,plain,
! [X2,X0,X1] : join(meet(a,join(X1,join(X2,meet(a,X0)))),meet(a,join(X0,meet(a,join(X1,X2))))) = meet(a,meet(join(X0,join(X1,X2)),join(X0,join(meet(a,join(X1,X2)),meet(a,join(X1,join(X2,X0))))))),
inference(forward_demodulation,[],[f38510,f21167]) ).
fof(f38668,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X1,join(meet(a,X0),meet(a,join(X3,meet(join(X0,meet(a,X1)),a))))))) = meet(X2,join(X1,join(meet(a,X0),join(X3,meet(a,join(X0,meet(a,X1))))))),
inference(forward_demodulation,[],[f38551,f4]) ).
fof(f38682,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X0,meet(a,join(meet(join(X3,meet(a,join(X1,meet(a,X0)))),a),X1))))) = meet(X2,join(X0,join(meet(a,X1),join(X3,meet(a,join(X1,meet(a,X0))))))),
inference(forward_demodulation,[],[f38566,f13474]) ).
fof(f38731,plain,
! [X2,X0,X1] : join(meet(a,join(X1,join(X2,meet(a,X0)))),meet(a,join(X0,meet(a,join(X1,X2))))) = meet(a,meet(join(X0,join(X1,X2)),join(X0,meet(a,join(X1,join(X2,X0)))))),
inference(forward_demodulation,[],[f38631,f35864]) ).
fof(f38765,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X1,meet(a,join(meet(join(X3,meet(join(X0,meet(a,X1)),a)),a),X0))))) = meet(X2,join(X1,join(meet(a,X0),join(X3,meet(a,join(X0,meet(a,X1))))))),
inference(forward_demodulation,[],[f38668,f13474]) ).
fof(f38779,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X0,meet(a,join(X1,meet(join(X3,meet(a,join(X1,meet(a,X0)))),a)))))) = meet(X2,join(X0,join(meet(a,X1),join(X3,meet(a,join(X1,meet(a,X0))))))),
inference(forward_demodulation,[],[f38682,f11764]) ).
fof(f38818,plain,
! [X2,X0,X1] : join(meet(a,join(X1,join(X2,meet(a,X0)))),meet(a,join(X0,meet(a,join(X1,X2))))) = meet(a,meet(join(X0,join(X1,X2)),join(X0,meet(a,join(X1,X2))))),
inference(forward_demodulation,[],[f38731,f30645]) ).
fof(f38848,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X1,meet(a,join(X0,meet(join(X3,meet(join(X0,meet(a,X1)),a)),a)))))) = meet(X2,join(X1,join(meet(a,X0),join(X3,meet(a,join(X0,meet(a,X1))))))),
inference(forward_demodulation,[],[f38765,f11764]) ).
fof(f38861,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X0,meet(a,join(X1,meet(a,join(X3,meet(a,join(X1,meet(a,X0)))))))))) = meet(X2,join(X0,join(meet(a,X1),join(X3,meet(a,join(X1,meet(a,X0))))))),
inference(forward_demodulation,[],[f38779,f19899]) ).
fof(f38892,plain,
! [X2,X0,X1] : meet(a,join(X0,meet(a,join(X1,X2)))) = join(meet(a,join(X1,join(X2,meet(a,X0)))),meet(a,join(X0,meet(a,join(X1,X2))))),
inference(forward_demodulation,[],[f38818,f437]) ).
fof(f38921,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X1,meet(a,join(X0,meet(a,join(X3,meet(join(X0,meet(a,X1)),a)))))))) = meet(X2,join(X1,join(meet(a,X0),join(X3,meet(a,join(X0,meet(a,X1))))))),
inference(forward_demodulation,[],[f38848,f19899]) ).
fof(f38932,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(X0,meet(a,join(X0,X1))))) = meet(X2,join(X0,join(meet(a,X1),join(X3,meet(a,join(X1,meet(a,X0))))))),
inference(forward_demodulation,[],[f38861,f21816]) ).
fof(f38960,plain,
! [X2,X0,X1] : meet(a,join(X1,join(X2,X0))) = meet(a,join(X0,meet(a,join(X1,X2)))),
inference(forward_demodulation,[],[f38892,f117]) ).
fof(f38987,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X3,meet(a,join(X0,X1)))),meet(X2,join(X1,meet(a,join(X0,meet(a,join(X3,meet(a,join(X0,meet(a,X1)))))))))) = meet(X2,join(X1,join(meet(a,X0),join(X3,meet(a,join(X0,meet(a,X1))))))),
inference(forward_demodulation,[],[f38921,f19899]) ).
fof(f38998,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(X0,meet(X1,a)))) = meet(X2,join(X0,join(meet(a,X1),join(X3,meet(a,join(X1,meet(a,X0))))))),
inference(forward_demodulation,[],[f38932,f23410]) ).
fof(f39045,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(X1,meet(a,join(X0,meet(a,join(X1,X0))))))) = meet(X2,join(X1,join(meet(a,X0),join(X3,meet(a,join(X0,meet(a,X1))))))),
inference(forward_demodulation,[],[f38987,f21814]) ).
fof(f39098,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(X1,meet(a,join(X0,meet(a,join(X1,X0))))))) = meet(X2,join(X3,join(X1,meet(X0,a)))),
inference(forward_demodulation,[],[f39045,f38998]) ).
fof(f39147,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(X1,meet(X0,a)))) = meet(X2,join(X3,join(X1,meet(a,join(X1,join(X0,X0)))))),
inference(forward_demodulation,[],[f39098,f38960]) ).
fof(f39193,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(X1,meet(X0,a)))) = meet(X2,join(X3,join(X1,meet(join(X0,X0),a)))),
inference(forward_demodulation,[],[f39147,f23410]) ).
fof(f39235,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(X1,meet(X0,a)))) = meet(X2,join(X3,join(X1,meet(a,join(X0,X0))))),
inference(forward_demodulation,[],[f39193,f19527]) ).
fof(f39268,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(X1,meet(a,X0)))) = meet(X2,join(X3,join(X1,meet(X0,a)))),
inference(forward_demodulation,[],[f39235,f49]) ).
fof(f42381,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,join(X1,X2)),meet(X0,X1)),
inference(superposition,[],[f65,f8969]) ).
fof(f42559,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,join(X2,X1))),
inference(forward_demodulation,[],[f42381,f19746]) ).
fof(f44246,plain,
! [X0,X1] : join(meet(a,X0),meet(a,meet(X1,join(a,X0)))) = meet(a,join(meet(a,meet(X1,a)),X0)),
inference(superposition,[],[f1741,f138]) ).
fof(f44446,plain,
! [X0,X1] : join(meet(X0,a),meet(a,meet(X1,join(X0,a)))) = join(meet(join(X0,meet(a,meet(a,X1))),a),join(meet(X0,a),meet(a,meet(X1,join(X0,a))))),
inference(superposition,[],[f55,f1741]) ).
fof(f44450,plain,
! [X2,X0,X1] : join(X0,meet(X1,meet(a,X2))) = join(join(X0,meet(X1,meet(a,X2))),join(meet(X0,X1),meet(a,meet(X2,join(X0,X1))))),
inference(superposition,[],[f5,f1741]) ).
fof(f44521,plain,
! [X2,X0,X1] : join(X0,meet(X1,meet(a,X2))) = join(meet(meet(X2,join(X0,X1)),a),join(join(X0,meet(X1,meet(a,X2))),meet(X0,X1))),
inference(forward_demodulation,[],[f44450,f19477]) ).
fof(f44524,plain,
! [X0,X1] : join(meet(X0,a),meet(a,meet(X1,join(X0,a)))) = join(meet(X0,a),join(meet(a,meet(X1,join(X0,a))),meet(a,join(X0,meet(a,meet(a,X1)))))),
inference(forward_demodulation,[],[f44446,f19477]) ).
fof(f44700,plain,
! [X0,X1] : join(meet(a,X0),meet(a,meet(X1,join(a,X0)))) = meet(a,join(meet(X1,a),X0)),
inference(forward_demodulation,[],[f44246,f363]) ).
fof(f44777,plain,
! [X2,X0,X1] : join(X0,meet(X1,meet(a,X2))) = join(meet(X0,X1),join(join(X0,meet(X1,meet(a,X2))),meet(a,meet(X2,join(X0,X1))))),
inference(forward_demodulation,[],[f44521,f19880]) ).
fof(f44780,plain,
! [X0,X1] : join(meet(X0,a),meet(a,meet(X1,join(X0,a)))) = join(meet(a,join(X0,meet(a,meet(a,X1)))),meet(a,meet(X1,join(X0,a)))),
inference(forward_demodulation,[],[f44524,f7017]) ).
fof(f44919,plain,
! [X0,X1] : meet(a,join(X1,X0)) = join(meet(a,X0),meet(a,meet(X1,join(a,X0)))),
inference(forward_demodulation,[],[f44700,f30575]) ).
fof(f44974,plain,
! [X2,X0,X1] : join(X0,meet(X1,meet(a,X2))) = join(meet(X0,X1),join(meet(meet(X2,join(X0,X1)),a),join(X0,meet(X1,meet(a,X2))))),
inference(forward_demodulation,[],[f44777,f19505]) ).
fof(f44977,plain,
! [X0,X1] : join(meet(X0,a),meet(a,meet(X1,join(X0,a)))) = join(meet(a,meet(X1,join(X0,a))),meet(a,join(meet(a,meet(a,X1)),X0))),
inference(forward_demodulation,[],[f44780,f19746]) ).
fof(f45093,plain,
! [X0,X1] : meet(a,join(X1,X0)) = meet(a,join(meet(meet(X1,join(a,X0)),a),X0)),
inference(forward_demodulation,[],[f44919,f13474]) ).
fof(f45135,plain,
! [X2,X0,X1] : join(X0,meet(X1,meet(a,X2))) = join(X0,join(meet(X1,meet(a,X2)),join(meet(X0,X1),meet(meet(X2,join(X0,X1)),a)))),
inference(forward_demodulation,[],[f44974,f309]) ).
fof(f45138,plain,
! [X0,X1] : join(meet(X0,a),meet(a,meet(X1,join(X0,a)))) = meet(a,join(meet(join(meet(a,meet(a,X1)),X0),a),meet(X1,join(X0,a)))),
inference(forward_demodulation,[],[f44977,f13474]) ).
fof(f45235,plain,
! [X0,X1] : meet(a,join(X1,X0)) = meet(a,join(X0,meet(meet(X1,join(a,X0)),a))),
inference(forward_demodulation,[],[f45093,f654]) ).
fof(f45271,plain,
! [X2,X0,X1] : join(X0,meet(X1,meet(a,X2))) = join(X0,join(meet(meet(X2,join(X0,X1)),a),meet(X1,meet(a,X2)))),
inference(forward_demodulation,[],[f45135,f303]) ).
fof(f45274,plain,
! [X0,X1] : join(meet(X0,a),meet(a,meet(X1,join(X0,a)))) = meet(a,join(meet(X1,join(X0,a)),meet(join(meet(a,meet(a,X1)),X0),a))),
inference(forward_demodulation,[],[f45138,f654]) ).
fof(f45363,plain,
! [X0,X1] : meet(a,join(X1,X0)) = meet(a,join(X0,meet(a,meet(X1,join(a,X0))))),
inference(forward_demodulation,[],[f45235,f19899]) ).
fof(f45383,plain,
! [X2,X0,X1] : join(X0,meet(X1,meet(a,X2))) = join(X0,join(meet(meet(a,X2),X1),meet(meet(X2,join(X0,X1)),a))),
inference(forward_demodulation,[],[f45271,f19505]) ).
fof(f45386,plain,
! [X0,X1] : join(meet(X0,a),meet(a,meet(X1,join(X0,a)))) = meet(a,join(meet(X1,join(X0,a)),meet(a,join(meet(a,meet(a,X1)),X0)))),
inference(forward_demodulation,[],[f45274,f19899]) ).
fof(f45464,plain,
! [X0,X1] : meet(a,join(X1,X0)) = meet(a,join(meet(a,meet(a,X1)),X0)),
inference(forward_demodulation,[],[f45363,f22885]) ).
fof(f45477,plain,
! [X2,X0,X1] : join(X0,meet(X1,meet(a,X2))) = join(X0,join(meet(meet(a,X2),X1),meet(a,meet(X2,join(X0,X1))))),
inference(forward_demodulation,[],[f45383,f19527]) ).
fof(f45480,plain,
! [X0,X1] : join(meet(X0,a),meet(a,meet(X1,join(X0,a)))) = meet(a,join(meet(a,meet(a,X1)),join(X0,meet(X1,join(X0,a))))),
inference(forward_demodulation,[],[f45386,f38960]) ).
fof(f45544,plain,
! [X0,X1] : meet(a,join(X1,X0)) = meet(a,join(meet(a,X1),X0)),
inference(forward_demodulation,[],[f45464,f174]) ).
fof(f45555,plain,
! [X2,X0,X1] : join(X0,meet(X1,meet(a,X2))) = join(X0,join(meet(a,meet(X2,X1)),meet(a,meet(X2,join(X0,X1))))),
inference(forward_demodulation,[],[f45477,f2]) ).
fof(f45558,plain,
! [X0,X1] : join(meet(X0,a),meet(a,meet(X1,join(X0,a)))) = meet(a,join(meet(a,X1),join(X0,meet(X1,join(X0,a))))),
inference(forward_demodulation,[],[f45480,f174]) ).
fof(f45624,plain,
! [X2,X0,X1] : join(X0,meet(X1,meet(a,X2))) = join(X0,meet(a,meet(X2,join(X0,X1)))),
inference(forward_demodulation,[],[f45555,f36083]) ).
fof(f45627,plain,
! [X0,X1] : join(meet(X0,a),meet(a,meet(X1,join(X0,a)))) = meet(a,join(X1,join(X0,meet(X1,join(X0,a))))),
inference(forward_demodulation,[],[f45558,f45544]) ).
fof(f45685,plain,
! [X0,X1] : meet(a,join(X1,X0)) = join(meet(X0,a),meet(a,meet(X1,join(X0,a)))),
inference(forward_demodulation,[],[f45627,f125]) ).
fof(f45734,plain,
! [X0,X1] : meet(a,join(X1,X0)) = meet(a,join(meet(a,meet(X1,join(X0,a))),X0)),
inference(forward_demodulation,[],[f45685,f13635]) ).
fof(f45771,plain,
! [X0,X1] : meet(a,join(X1,X0)) = meet(a,join(X0,meet(a,meet(X1,join(X0,a))))),
inference(forward_demodulation,[],[f45734,f654]) ).
fof(f45794,plain,
! [X0,X1] : meet(a,join(X1,X0)) = meet(a,join(X0,meet(a,meet(a,X1)))),
inference(forward_demodulation,[],[f45771,f45624]) ).
fof(f45813,plain,
! [X0,X1] : meet(a,join(X0,meet(a,X1))) = meet(a,join(X1,X0)),
inference(forward_demodulation,[],[f45794,f174]) ).
fof(f46071,plain,
! [X2,X0,X1] : meet(meet(a,join(X0,X1)),X2) = meet(a,meet(X2,join(X1,meet(a,X0)))),
inference(superposition,[],[f5446,f45813]) ).
fof(f46089,plain,
! [X2,X0,X1] : meet(a,meet(join(X0,X1),X2)) = meet(a,meet(X2,join(X1,meet(a,X0)))),
inference(forward_demodulation,[],[f46071,f2]) ).
fof(f48226,plain,
( join(x2,y2) = join(join(x2,y2),meet(a,join(z2,meet(a,x2))))
| ~ spl0_6 ),
inference(superposition,[],[f138,f3331]) ).
fof(f48305,plain,
( join(x2,y2) = join(x2,join(y2,meet(a,join(z2,meet(a,x2)))))
| ~ spl0_6 ),
inference(forward_demodulation,[],[f48226,f4]) ).
fof(f48387,plain,
( join(x2,y2) = join(x2,join(y2,meet(a,join(x2,meet(a,z2)))))
| ~ spl0_6 ),
inference(forward_demodulation,[],[f48305,f14331]) ).
fof(f48464,plain,
( join(x2,y2) = join(x2,join(y2,meet(meet(a,z2),a)))
| ~ spl0_6 ),
inference(forward_demodulation,[],[f48387,f30812]) ).
fof(f48526,plain,
( join(x2,y2) = join(x2,join(y2,meet(a,meet(a,z2))))
| ~ spl0_6 ),
inference(forward_demodulation,[],[f48464,f19527]) ).
fof(f48569,plain,
( join(x2,y2) = join(x2,join(y2,meet(a,z2)))
| ~ spl0_6 ),
inference(forward_demodulation,[],[f48526,f174]) ).
fof(f48606,definition,
( spl0_24
<=> join(x2,y2) = join(x2,join(y2,meet(a,z2))) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f48608,plain,
( join(x2,y2) = join(x2,join(y2,meet(a,z2)))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f48606]) ).
fof(f48609,plain,
( spl0_24
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f48569,f3329,f48606]) ).
fof(f48776,plain,
( join(y2,meet(a,z2)) = meet(join(y2,meet(a,z2)),join(x2,y2))
| ~ spl0_24 ),
inference(superposition,[],[f45,f48608]) ).
fof(f48792,plain,
( join(x2,meet(a,join(y2,meet(a,z2)))) = meet(join(x2,y2),join(x2,meet(a,join(y2,meet(a,z2)))))
| ~ spl0_24 ),
inference(superposition,[],[f437,f48608]) ).
fof(f48844,plain,
( join(x2,meet(a,z2)) = meet(join(x2,y2),join(x2,meet(a,z2)))
| ~ spl0_19
| ~ spl0_24 ),
inference(forward_demodulation,[],[f48792,f37012]) ).
fof(f48855,plain,
( join(y2,meet(a,z2)) = meet(join(y2,x2),join(meet(a,z2),y2))
| ~ spl0_24 ),
inference(forward_demodulation,[],[f48776,f6306]) ).
fof(f48879,definition,
( spl0_26
<=> join(x2,meet(a,z2)) = meet(join(x2,y2),join(x2,meet(a,z2))) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f48881,plain,
( join(x2,meet(a,z2)) = meet(join(x2,y2),join(x2,meet(a,z2)))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f48879]) ).
fof(f48882,plain,
( spl0_26
| ~ spl0_19
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f48844,f48606,f37010,f48879]) ).
fof(f48891,plain,
( join(y2,meet(a,z2)) = meet(join(x2,y2),join(y2,meet(a,z2)))
| ~ spl0_24 ),
inference(forward_demodulation,[],[f48855,f6223]) ).
fof(f48912,definition,
( spl0_27
<=> join(y2,meet(a,z2)) = meet(join(x2,y2),join(y2,meet(a,z2))) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f48914,plain,
( join(y2,meet(a,z2)) = meet(join(x2,y2),join(y2,meet(a,z2)))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f48912]) ).
fof(f48915,plain,
( spl0_27
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f48891,f48606,f48912]) ).
fof(f50858,plain,
! [X2,X0,X1] : join(X0,X2) = meet(join(join(X0,X1),X2),join(X0,X2)),
inference(superposition,[],[f2462,f6]) ).
fof(f51204,plain,
! [X2,X0,X1] : join(X0,X2) = meet(join(X2,X0),join(X2,join(X0,X1))),
inference(forward_demodulation,[],[f50858,f6306]) ).
fof(f51709,plain,
! [X2,X3,X0,X1] : join(meet(X0,join(X1,X2)),meet(X0,X2)) = meet(meet(X0,join(X1,X2)),join(meet(X0,X2),join(meet(X0,join(X1,X2)),X3))),
inference(superposition,[],[f51204,f19000]) ).
fof(f52105,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,join(X1,X2)),meet(X0,X2)),
inference(forward_demodulation,[],[f51709,f300]) ).
fof(f52219,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X2),meet(X0,join(X2,X1))),
inference(forward_demodulation,[],[f52105,f19746]) ).
fof(f52529,plain,
( ! [X0] : meet(X0,join(join(z2,meet(a,join(x2,y2))),x2)) = join(meet(X0,x2),meet(X0,join(x2,z2)))
| ~ spl0_3 ),
inference(superposition,[],[f52219,f97]) ).
fof(f52814,plain,
( ! [X0] : meet(X0,join(x2,z2)) = meet(X0,join(join(z2,meet(a,join(x2,y2))),x2))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f52529,f35600]) ).
fof(f53025,plain,
( ! [X0] : meet(X0,join(x2,join(z2,meet(a,join(x2,y2))))) = meet(X0,join(x2,z2))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f52814,f654]) ).
fof(f53187,plain,
( ! [X0] : meet(X0,join(x2,z2)) = meet(X0,join(x2,join(z2,meet(y2,a))))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f53025,f30812]) ).
fof(f53280,plain,
( ! [X0] : meet(X0,join(x2,z2)) = meet(X0,join(x2,join(z2,meet(a,y2))))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f53187,f39268]) ).
fof(f53535,plain,
( join(z2,meet(a,y2)) = meet(join(z2,meet(a,y2)),join(x2,z2))
| ~ spl0_3 ),
inference(superposition,[],[f45,f53280]) ).
fof(f53791,plain,
( join(z2,meet(a,y2)) = meet(join(z2,x2),join(meet(a,y2),z2))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f53535,f6306]) ).
fof(f53888,plain,
( join(z2,meet(a,y2)) = meet(join(x2,z2),join(z2,meet(a,y2)))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f53791,f6223]) ).
fof(f53961,definition,
( spl0_28
<=> join(z2,meet(a,y2)) = meet(join(x2,z2),join(z2,meet(a,y2))) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f53963,plain,
( join(z2,meet(a,y2)) = meet(join(x2,z2),join(z2,meet(a,y2)))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f53961]) ).
fof(f53964,plain,
( spl0_28
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f53888,f95,f53961]) ).
fof(f59621,plain,
! [X2,X0,X1] : join(X0,meet(a,meet(X2,X1))) = join(X0,join(meet(a,meet(X2,X1)),join(meet(X0,X1),meet(a,meet(X2,join(X0,X1)))))),
inference(superposition,[],[f115,f1744]) ).
fof(f59872,plain,
! [X2,X0,X1] : join(X0,meet(a,meet(X2,X1))) = join(X0,join(meet(a,meet(X2,join(X0,X1))),meet(a,meet(X2,X1)))),
inference(forward_demodulation,[],[f59621,f303]) ).
fof(f60011,plain,
! [X2,X0,X1] : join(X0,meet(a,meet(X2,X1))) = join(X0,join(meet(meet(X2,X1),a),meet(a,meet(X2,join(X0,X1))))),
inference(forward_demodulation,[],[f59872,f19505]) ).
fof(f60089,plain,
! [X2,X0,X1] : join(X0,meet(a,meet(X2,X1))) = join(X0,join(meet(a,meet(X2,X1)),meet(a,meet(X2,join(X0,X1))))),
inference(forward_demodulation,[],[f60011,f19535]) ).
fof(f60114,plain,
! [X2,X0,X1] : join(X0,meet(a,meet(X2,X1))) = join(X0,meet(a,meet(X2,join(X0,X1)))),
inference(forward_demodulation,[],[f60089,f36083]) ).
fof(f60360,plain,
! [X2,X3,X0,X1] : join(X0,meet(a,meet(X3,meet(X2,X1)))) = join(X0,meet(a,meet(X3,join(X0,meet(X1,X2))))),
inference(superposition,[],[f60114,f11766]) ).
fof(f60402,plain,
! [X2,X3,X0,X1] : join(X0,meet(a,meet(meet(X3,X2),X1))) = join(X0,meet(a,meet(join(X0,X1),meet(X2,X3)))),
inference(superposition,[],[f60114,f1025]) ).
fof(f60422,plain,
( join(x2,meet(a,meet(join(x2,y2),meet(a,z2)))) = join(x2,meet(a,join(x2,meet(a,z2))))
| ~ spl0_26 ),
inference(superposition,[],[f60114,f48881]) ).
fof(f60423,plain,
( join(y2,meet(a,join(y2,meet(a,z2)))) = join(y2,meet(a,meet(join(x2,y2),meet(a,z2))))
| ~ spl0_27 ),
inference(superposition,[],[f60114,f48914]) ).
fof(f60425,plain,
( join(z2,meet(a,join(z2,meet(a,y2)))) = join(z2,meet(a,meet(join(x2,z2),meet(a,y2))))
| ~ spl0_28 ),
inference(superposition,[],[f60114,f53963]) ).
fof(f60429,plain,
( join(x2,meet(a,meet(a,z2))) = join(x2,meet(a,meet(a,join(x2,y2))))
| ~ spl0_2 ),
inference(superposition,[],[f60114,f25]) ).
fof(f60442,plain,
! [X0,X1] : join(X1,meet(a,join(X0,X1))) = join(X1,meet(a,meet(join(X0,X1),X0))),
inference(superposition,[],[f60114,f601]) ).
fof(f60450,plain,
! [X2,X0,X1] : join(X0,meet(a,meet(X2,X1))) = join(X0,meet(a,meet(join(X0,X1),X2))),
inference(superposition,[],[f60114,f811]) ).
fof(f60557,plain,
! [X2,X3,X0,X1] : meet(X3,join(meet(a,meet(X1,join(X0,X2))),X0)) = join(meet(X3,X0),meet(X3,join(X0,meet(a,meet(X1,X2))))),
inference(superposition,[],[f52219,f60114]) ).
fof(f60602,plain,
! [X2,X3,X0,X1] : meet(X3,join(X0,meet(a,meet(X1,X2)))) = meet(X3,join(meet(a,meet(X1,join(X0,X2))),X0)),
inference(forward_demodulation,[],[f60557,f35600]) ).
fof(f60680,plain,
! [X0,X1] : join(X1,meet(a,join(X0,X1))) = join(X1,meet(a,meet(X0,join(X0,X1)))),
inference(forward_demodulation,[],[f60442,f19283]) ).
fof(f60689,plain,
( join(x2,meet(y2,meet(a,a))) = join(x2,meet(a,meet(a,z2)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f60429,f45624]) ).
fof(f60692,plain,
( join(z2,meet(a,join(z2,meet(a,y2)))) = join(z2,meet(a,meet(meet(a,y2),join(x2,z2))))
| ~ spl0_28 ),
inference(forward_demodulation,[],[f60425,f19283]) ).
fof(f60694,plain,
( join(y2,meet(a,join(y2,meet(a,z2)))) = join(y2,meet(a,meet(meet(a,z2),join(x2,y2))))
| ~ spl0_27 ),
inference(forward_demodulation,[],[f60423,f19283]) ).
fof(f60695,plain,
( join(x2,meet(a,meet(join(x2,y2),meet(a,z2)))) = join(x2,meet(meet(a,z2),a))
| ~ spl0_26 ),
inference(forward_demodulation,[],[f60422,f23410]) ).
fof(f60715,plain,
! [X2,X3,X0,X1] : join(X0,meet(a,meet(meet(X3,X2),X1))) = join(X0,meet(a,meet(meet(X2,X3),X1))),
inference(forward_demodulation,[],[f60402,f60450]) ).
fof(f60745,plain,
! [X2,X3,X0,X1] : join(X0,meet(a,meet(X3,meet(X2,X1)))) = join(X0,meet(meet(X1,X2),meet(a,X3))),
inference(forward_demodulation,[],[f60360,f45624]) ).
fof(f60779,plain,
! [X2,X3,X0,X1] : meet(X3,join(X0,meet(a,meet(X1,join(X0,X2))))) = meet(X3,join(X0,meet(a,meet(X1,X2)))),
inference(forward_demodulation,[],[f60602,f654]) ).
fof(f60844,plain,
! [X0,X1] : join(X1,meet(a,join(X0,X1))) = join(meet(X0,meet(a,X0)),X1),
inference(forward_demodulation,[],[f60680,f22885]) ).
fof(f60850,plain,
( join(x2,meet(a,z2)) = join(x2,meet(y2,meet(a,a)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f60689,f174]) ).
fof(f60851,plain,
( join(z2,meet(a,join(z2,meet(a,y2)))) = join(meet(x2,meet(a,meet(a,y2))),z2)
| ~ spl0_28 ),
inference(forward_demodulation,[],[f60692,f22885]) ).
fof(f60853,plain,
( join(y2,meet(a,join(y2,meet(a,z2)))) = join(meet(x2,meet(a,meet(a,z2))),y2)
| ~ spl0_27 ),
inference(forward_demodulation,[],[f60694,f22885]) ).
fof(f60854,plain,
( join(x2,meet(a,meet(join(x2,y2),meet(a,z2)))) = join(x2,meet(a,meet(a,z2)))
| ~ spl0_26 ),
inference(forward_demodulation,[],[f60695,f11766]) ).
fof(f60872,plain,
! [X2,X3,X0,X1] : join(X0,meet(a,meet(X2,meet(X3,X1)))) = join(X0,meet(a,meet(meet(X3,X2),X1))),
inference(forward_demodulation,[],[f60715,f2]) ).
fof(f60892,plain,
! [X2,X3,X0,X1] : join(X0,meet(a,meet(X3,meet(X1,X2)))) = join(X0,meet(a,meet(X3,meet(X2,X1)))),
inference(forward_demodulation,[],[f60745,f19285]) ).
fof(f60919,plain,
! [X2,X3,X0,X1] : meet(X3,join(X0,meet(a,meet(X1,X2)))) = meet(X3,join(X0,meet(X2,meet(a,X1)))),
inference(forward_demodulation,[],[f60779,f45624]) ).
fof(f60964,plain,
! [X0,X1] : join(meet(a,X0),X1) = join(X1,meet(a,join(X0,X1))),
inference(forward_demodulation,[],[f60844,f363]) ).
fof(f60969,plain,
( join(x2,meet(a,z2)) = join(x2,meet(a,meet(y2,a)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f60850,f19285]) ).
fof(f60970,plain,
( join(z2,meet(a,join(z2,meet(a,y2)))) = join(z2,meet(meet(a,y2),meet(x2,a)))
| ~ spl0_28 ),
inference(forward_demodulation,[],[f60851,f19735]) ).
fof(f60972,plain,
( join(y2,meet(a,join(y2,meet(a,z2)))) = join(y2,meet(meet(a,z2),meet(x2,a)))
| ~ spl0_27 ),
inference(forward_demodulation,[],[f60853,f19735]) ).
fof(f60973,plain,
( join(x2,meet(a,z2)) = join(x2,meet(a,meet(join(x2,y2),meet(a,z2))))
| ~ spl0_26 ),
inference(forward_demodulation,[],[f60854,f174]) ).
fof(f60987,plain,
! [X2,X3,X0,X1] : join(X0,meet(a,meet(X2,meet(X3,X1)))) = join(X0,meet(a,meet(X3,meet(X2,X1)))),
inference(forward_demodulation,[],[f60872,f2]) ).
fof(f61057,plain,
( join(x2,meet(a,z2)) = join(x2,meet(a,meet(a,y2)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f60969,f19285]) ).
fof(f61058,plain,
( join(z2,meet(a,join(z2,meet(a,y2)))) = join(z2,meet(a,meet(meet(a,y2),x2)))
| ~ spl0_28 ),
inference(forward_demodulation,[],[f60970,f19285]) ).
fof(f61060,plain,
( join(y2,meet(a,join(y2,meet(a,z2)))) = join(y2,meet(a,meet(meet(a,z2),x2)))
| ~ spl0_27 ),
inference(forward_demodulation,[],[f60972,f19285]) ).
fof(f61061,plain,
( join(x2,meet(a,z2)) = join(x2,meet(a,meet(meet(a,z2),join(x2,y2))))
| ~ spl0_26 ),
inference(forward_demodulation,[],[f60973,f19283]) ).
fof(f61120,definition,
( spl0_34
<=> join(x2,meet(a,z2)) = join(x2,meet(a,y2)) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f61122,plain,
( join(x2,meet(a,z2)) = join(x2,meet(a,y2))
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f61120]) ).
fof(f61124,plain,
( join(x2,meet(a,z2)) = join(x2,meet(a,y2))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f61057,f174]) ).
fof(f61125,plain,
( join(z2,meet(a,join(z2,meet(a,y2)))) = join(z2,meet(a,meet(x2,meet(a,y2))))
| ~ spl0_28 ),
inference(forward_demodulation,[],[f61058,f19283]) ).
fof(f61127,plain,
( join(y2,meet(a,join(y2,meet(a,z2)))) = join(y2,meet(a,meet(x2,meet(a,z2))))
| ~ spl0_27 ),
inference(forward_demodulation,[],[f61060,f19283]) ).
fof(f61128,plain,
( join(x2,meet(a,z2)) = join(x2,meet(y2,meet(a,meet(a,z2))))
| ~ spl0_26 ),
inference(forward_demodulation,[],[f61061,f45624]) ).
fof(f61172,plain,
( spl0_34
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f61124,f23,f61120]) ).
fof(f61173,plain,
( join(z2,meet(a,join(z2,meet(a,y2)))) = join(z2,meet(a,meet(a,meet(x2,y2))))
| ~ spl0_28 ),
inference(forward_demodulation,[],[f61125,f60987]) ).
fof(f61175,plain,
( join(y2,meet(a,join(y2,meet(a,z2)))) = join(y2,meet(a,meet(a,meet(x2,z2))))
| ~ spl0_27 ),
inference(forward_demodulation,[],[f61127,f60987]) ).
fof(f61176,plain,
( join(x2,meet(a,z2)) = join(x2,meet(a,meet(meet(a,z2),y2)))
| ~ spl0_26 ),
inference(forward_demodulation,[],[f61128,f19285]) ).
fof(f61211,plain,
( join(z2,meet(a,join(z2,meet(a,y2)))) = join(z2,meet(a,meet(x2,y2)))
| ~ spl0_28 ),
inference(forward_demodulation,[],[f61173,f174]) ).
fof(f61213,plain,
( join(y2,meet(a,join(y2,meet(a,z2)))) = join(y2,meet(a,meet(x2,z2)))
| ~ spl0_27 ),
inference(forward_demodulation,[],[f61175,f174]) ).
fof(f61214,plain,
( join(x2,meet(a,z2)) = join(x2,meet(a,meet(y2,meet(a,z2))))
| ~ spl0_26 ),
inference(forward_demodulation,[],[f61176,f19283]) ).
fof(f61247,plain,
( join(z2,meet(meet(a,y2),a)) = join(z2,meet(a,meet(x2,y2)))
| ~ spl0_28 ),
inference(forward_demodulation,[],[f61211,f23410]) ).
fof(f61248,plain,
( join(y2,meet(meet(a,z2),a)) = join(y2,meet(a,meet(x2,z2)))
| ~ spl0_27 ),
inference(forward_demodulation,[],[f61213,f23410]) ).
fof(f61249,plain,
( join(x2,meet(a,z2)) = join(x2,meet(a,meet(a,meet(y2,z2))))
| ~ spl0_26 ),
inference(forward_demodulation,[],[f61214,f60987]) ).
fof(f61272,plain,
( join(z2,meet(a,meet(a,y2))) = join(z2,meet(a,meet(x2,y2)))
| ~ spl0_28 ),
inference(forward_demodulation,[],[f61247,f11766]) ).
fof(f61273,plain,
( join(y2,meet(a,meet(a,z2))) = join(y2,meet(a,meet(x2,z2)))
| ~ spl0_27 ),
inference(forward_demodulation,[],[f61248,f11766]) ).
fof(f61274,plain,
( join(x2,meet(a,z2)) = join(x2,meet(a,meet(y2,z2)))
| ~ spl0_26 ),
inference(forward_demodulation,[],[f61249,f174]) ).
fof(f61295,plain,
( join(z2,meet(a,y2)) = join(z2,meet(a,meet(x2,y2)))
| ~ spl0_28 ),
inference(forward_demodulation,[],[f61272,f174]) ).
fof(f61296,plain,
( join(y2,meet(a,z2)) = join(y2,meet(a,meet(x2,z2)))
| ~ spl0_27 ),
inference(forward_demodulation,[],[f61273,f174]) ).
fof(f61298,definition,
( spl0_36
<=> join(x2,meet(a,z2)) = join(x2,meet(a,meet(y2,z2))) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f61300,plain,
( join(x2,meet(a,z2)) = join(x2,meet(a,meet(y2,z2)))
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f61298]) ).
fof(f61301,plain,
( spl0_36
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f61274,f48879,f61298]) ).
fof(f61317,definition,
( spl0_37
<=> join(z2,meet(a,y2)) = join(z2,meet(a,meet(x2,y2))) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f61319,plain,
( join(z2,meet(a,y2)) = join(z2,meet(a,meet(x2,y2)))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f61317]) ).
fof(f61320,plain,
( spl0_37
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f61295,f53961,f61317]) ).
fof(f61322,definition,
( spl0_38
<=> join(y2,meet(a,z2)) = join(y2,meet(a,meet(x2,z2))) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f61324,plain,
( join(y2,meet(a,z2)) = join(y2,meet(a,meet(x2,z2)))
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f61322]) ).
fof(f61325,plain,
( spl0_38
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f61296,f48912,f61322]) ).
fof(f61374,plain,
( join(x2,meet(a,y2)) = join(x2,meet(a,meet(y2,z2)))
| ~ spl0_34
| ~ spl0_36 ),
inference(forward_demodulation,[],[f61300,f61122]) ).
fof(f61376,definition,
( spl0_39
<=> join(x2,meet(a,y2)) = join(x2,meet(a,meet(y2,z2))) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f61378,plain,
( join(x2,meet(a,y2)) = join(x2,meet(a,meet(y2,z2)))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f61376]) ).
fof(f61379,plain,
( spl0_39
| ~ spl0_34
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f61374,f61298,f61120,f61376]) ).
fof(f61463,plain,
! [X0,X1] : join(meet(a,X1),X0) = join(X0,meet(a,join(X0,X1))),
inference(superposition,[],[f60964,f654]) ).
fof(f64562,plain,
( meet(join(x2,meet(a,y2)),join(meet(a,meet(y2,x2)),z2)) = join(meet(x2,z2),meet(a,meet(y2,join(x2,z2))))
| ~ spl0_39 ),
inference(superposition,[],[f1744,f61378]) ).
fof(f64712,plain,
( meet(join(x2,meet(a,y2)),join(meet(a,meet(y2,x2)),z2)) = join(meet(x2,z2),meet(a,meet(y2,join(x2,y2))))
| ~ spl0_2
| ~ spl0_39 ),
inference(forward_demodulation,[],[f64562,f14867]) ).
fof(f64766,plain,
( meet(join(x2,meet(a,y2)),join(meet(a,meet(y2,x2)),z2)) = join(meet(x2,z2),meet(a,y2))
| ~ spl0_2
| ~ spl0_39 ),
inference(forward_demodulation,[],[f64712,f45]) ).
fof(f64809,plain,
( meet(join(x2,meet(a,y2)),join(meet(a,meet(y2,x2)),z2)) = join(meet(a,y2),meet(z2,x2))
| ~ spl0_2
| ~ spl0_39 ),
inference(forward_demodulation,[],[f64766,f19470]) ).
fof(f64838,plain,
( meet(join(x2,meet(a,y2)),join(meet(a,meet(y2,x2)),z2)) = join(meet(a,y2),meet(x2,z2))
| ~ spl0_2
| ~ spl0_39 ),
inference(forward_demodulation,[],[f64809,f11766]) ).
fof(f64856,plain,
( meet(join(x2,meet(a,y2)),join(z2,meet(a,meet(y2,x2)))) = join(meet(a,y2),meet(x2,z2))
| ~ spl0_2
| ~ spl0_39 ),
inference(forward_demodulation,[],[f64838,f654]) ).
fof(f64866,plain,
( meet(join(x2,meet(a,y2)),join(z2,meet(a,meet(x2,y2)))) = join(meet(a,y2),meet(x2,z2))
| ~ spl0_2
| ~ spl0_39 ),
inference(forward_demodulation,[],[f64856,f19283]) ).
fof(f64873,plain,
( meet(join(x2,meet(a,y2)),join(z2,meet(a,y2))) = join(meet(a,y2),meet(x2,z2))
| ~ spl0_2
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_demodulation,[],[f64866,f61319]) ).
fof(f64880,definition,
( spl0_44
<=> meet(join(x2,meet(a,y2)),join(z2,meet(a,y2))) = join(meet(a,y2),meet(x2,z2)) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f64882,plain,
( meet(join(x2,meet(a,y2)),join(z2,meet(a,y2))) = join(meet(a,y2),meet(x2,z2))
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f64880]) ).
fof(f64883,plain,
( spl0_44
| ~ spl0_2
| ~ spl0_37
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f64873,f61376,f61317,f23,f64880]) ).
fof(f65231,plain,
( ! [X0] : join(z2,meet(a,meet(X0,meet(a,meet(x2,y2))))) = join(z2,meet(a,meet(X0,join(z2,meet(a,y2)))))
| ~ spl0_37 ),
inference(superposition,[],[f60114,f61319]) ).
fof(f65236,plain,
( ! [X0] : join(z2,meet(a,meet(X0,meet(a,meet(x2,y2))))) = join(z2,meet(meet(a,y2),meet(a,X0)))
| ~ spl0_37 ),
inference(forward_demodulation,[],[f65231,f45624]) ).
fof(f65304,plain,
( ! [X0] : join(z2,meet(a,meet(X0,meet(a,meet(x2,y2))))) = join(z2,meet(a,meet(X0,meet(a,y2))))
| ~ spl0_37 ),
inference(forward_demodulation,[],[f65236,f19285]) ).
fof(f65360,plain,
( ! [X0] : join(z2,meet(a,meet(X0,meet(a,meet(x2,y2))))) = join(z2,meet(a,meet(X0,y2)))
| ~ spl0_37 ),
inference(forward_demodulation,[],[f65304,f2769]) ).
fof(f65406,plain,
( ! [X0] : join(z2,meet(a,meet(X0,y2))) = join(z2,meet(a,meet(X0,meet(x2,y2))))
| ~ spl0_37 ),
inference(forward_demodulation,[],[f65360,f2769]) ).
fof(f75694,plain,
! [X2,X3,X0,X1] : join(meet(X0,X2),meet(join(X0,X1),X2)) = meet(X2,join(join(X1,meet(join(X0,X1),X3)),X0)),
inference(superposition,[],[f12729,f115]) ).
fof(f75850,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(a,meet(X0,join(X1,X2)))) = join(meet(a,meet(join(X2,X1),X0)),meet(X2,X0)),
inference(superposition,[],[f61463,f12729]) ).
fof(f75881,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(a,meet(X0,join(X1,X2)))) = join(meet(X2,X0),meet(X0,meet(a,join(X2,X1)))),
inference(forward_demodulation,[],[f75850,f19735]) ).
fof(f76012,plain,
! [X2,X3,X0,X1] : join(meet(X0,X2),meet(join(X0,X1),X2)) = meet(X2,join(X0,join(X1,meet(join(X0,X1),X3)))),
inference(forward_demodulation,[],[f75694,f654]) ).
fof(f76166,plain,
! [X2,X0,X1] : meet(X0,join(meet(X1,meet(a,X0)),X2)) = join(meet(X2,X0),meet(a,meet(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f75881,f30322]) ).
fof(f76277,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = join(meet(X0,X2),meet(join(X0,X1),X2)),
inference(forward_demodulation,[],[f76012,f115]) ).
fof(f77121,plain,
! [X2,X3,X0,X1] : join(meet(X1,X0),X3) = meet(join(X3,meet(X1,X0)),join(X3,meet(X0,join(X1,X2)))),
inference(superposition,[],[f51204,f76277]) ).
fof(f84247,plain,
! [X0,X1] : join(meet(a,join(X1,X0)),X0) = meet(join(X0,meet(X1,a)),join(meet(a,join(X1,X0)),X0)),
inference(superposition,[],[f6242,f23423]) ).
fof(f84771,plain,
! [X0,X1] : join(meet(a,join(X1,X0)),X0) = meet(join(X0,meet(X1,a)),join(X0,meet(a,join(X1,X0)))),
inference(forward_demodulation,[],[f84247,f654]) ).
fof(f84989,plain,
! [X0,X1] : join(meet(X1,a),X0) = join(meet(a,join(X1,X0)),X0),
inference(forward_demodulation,[],[f84771,f77121]) ).
fof(f85161,plain,
! [X0,X1] : join(meet(X1,a),X0) = join(X0,meet(a,join(X0,X1))),
inference(forward_demodulation,[],[f84989,f19746]) ).
fof(f85485,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(a,meet(X0,join(X1,X2)))) = join(meet(meet(join(X2,X1),X0),a),meet(X2,X0)),
inference(superposition,[],[f85161,f12729]) ).
fof(f85863,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(a,meet(X0,join(X1,X2)))) = join(meet(X0,X2),meet(a,meet(join(X2,X1),X0))),
inference(forward_demodulation,[],[f85485,f19948]) ).
fof(f86057,plain,
! [X2,X0,X1] : meet(X0,join(meet(X1,meet(a,X0)),X2)) = join(meet(X0,X2),meet(a,meet(join(X2,X1),X0))),
inference(forward_demodulation,[],[f85863,f76166]) ).
fof(f96047,plain,
( meet(x2,join(z2,meet(a,y2))) = meet(x2,join(meet(a,y2),meet(x2,z2)))
| ~ spl0_44 ),
inference(superposition,[],[f144,f64882]) ).
fof(f96224,definition,
( spl0_60
<=> meet(x2,join(z2,meet(a,y2))) = meet(x2,join(meet(a,y2),meet(x2,z2))) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f96226,plain,
( meet(x2,join(z2,meet(a,y2))) = meet(x2,join(meet(a,y2),meet(x2,z2)))
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f96224]) ).
fof(f96227,plain,
( spl0_60
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f96047,f64880,f96224]) ).
fof(f98111,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(a,meet(X0,join(X1,X2)))) = join(meet(meet(X0,join(X2,X1)),a),meet(X0,X1)),
inference(superposition,[],[f85161,f42559]) ).
fof(f98142,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(a,meet(X0,join(X1,X2)))) = join(meet(X1,X0),meet(a,meet(X0,join(X2,X1)))),
inference(forward_demodulation,[],[f98111,f19948]) ).
fof(f98464,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(a,meet(X0,join(X1,X2)))) = meet(X0,join(meet(X2,meet(a,X0)),X1)),
inference(forward_demodulation,[],[f98142,f76166]) ).
fof(f146843,plain,
( join(meet(a,meet(x2,meet(a,y2))),meet(x2,z2)) = join(meet(x2,z2),join(meet(a,meet(x2,meet(a,y2))),meet(a,meet(x2,join(z2,meet(a,y2))))))
| ~ spl0_60 ),
inference(superposition,[],[f1898,f96226]) ).
fof(f146968,plain,
( join(meet(a,meet(x2,meet(a,y2))),meet(x2,z2)) = join(meet(x2,z2),meet(a,meet(x2,join(z2,meet(a,y2)))))
| ~ spl0_60 ),
inference(forward_demodulation,[],[f146843,f36083]) ).
fof(f147020,plain,
( join(meet(a,meet(x2,meet(a,y2))),meet(x2,z2)) = meet(x2,join(meet(meet(a,y2),meet(a,x2)),z2))
| ~ spl0_60 ),
inference(forward_demodulation,[],[f146968,f98464]) ).
fof(f147068,plain,
( join(meet(a,meet(x2,meet(a,y2))),meet(x2,z2)) = meet(x2,join(z2,meet(meet(a,y2),meet(a,x2))))
| ~ spl0_60 ),
inference(forward_demodulation,[],[f147020,f654]) ).
fof(f147107,plain,
( join(meet(a,meet(x2,meet(a,y2))),meet(x2,z2)) = meet(x2,join(z2,meet(meet(a,x2),meet(a,y2))))
| ~ spl0_60 ),
inference(forward_demodulation,[],[f147068,f19899]) ).
fof(f147141,plain,
( join(meet(a,meet(x2,meet(a,y2))),meet(x2,z2)) = meet(x2,join(z2,meet(a,meet(y2,meet(a,x2)))))
| ~ spl0_60 ),
inference(forward_demodulation,[],[f147107,f60919]) ).
fof(f147171,plain,
( join(meet(a,meet(x2,meet(a,y2))),meet(x2,z2)) = meet(x2,join(z2,meet(a,meet(a,meet(y2,x2)))))
| ~ spl0_60 ),
inference(forward_demodulation,[],[f147141,f60987]) ).
fof(f147195,plain,
( join(meet(a,meet(x2,meet(a,y2))),meet(x2,z2)) = meet(x2,join(z2,meet(a,meet(a,meet(x2,y2)))))
| ~ spl0_60 ),
inference(forward_demodulation,[],[f147171,f60892]) ).
fof(f147214,plain,
( join(meet(a,meet(x2,meet(a,y2))),meet(x2,z2)) = meet(x2,join(z2,meet(a,meet(a,y2))))
| ~ spl0_37
| ~ spl0_60 ),
inference(forward_demodulation,[],[f147195,f65406]) ).
fof(f147235,plain,
( meet(x2,join(z2,meet(a,y2))) = join(meet(a,meet(x2,meet(a,y2))),meet(x2,z2))
| ~ spl0_37
| ~ spl0_60 ),
inference(forward_demodulation,[],[f147214,f174]) ).
fof(f147248,plain,
( meet(x2,join(z2,meet(a,y2))) = join(meet(x2,z2),meet(meet(a,y2),meet(a,x2)))
| ~ spl0_37
| ~ spl0_60 ),
inference(forward_demodulation,[],[f147235,f19735]) ).
fof(f147261,plain,
( meet(x2,join(z2,meet(a,y2))) = join(meet(x2,z2),meet(x2,meet(meet(a,y2),a)))
| ~ spl0_37
| ~ spl0_60 ),
inference(forward_demodulation,[],[f147248,f19285]) ).
fof(f147274,plain,
( meet(x2,join(z2,meet(a,y2))) = join(meet(x2,z2),meet(a,meet(x2,meet(a,y2))))
| ~ spl0_37
| ~ spl0_60 ),
inference(forward_demodulation,[],[f147261,f19285]) ).
fof(f147280,plain,
( meet(x2,join(z2,meet(a,y2))) = join(meet(x2,z2),meet(a,meet(a,meet(x2,y2))))
| ~ spl0_37
| ~ spl0_60 ),
inference(forward_demodulation,[],[f147274,f60987]) ).
fof(f147286,plain,
( meet(x2,join(z2,meet(a,y2))) = join(meet(x2,z2),meet(a,meet(x2,y2)))
| ~ spl0_37
| ~ spl0_60 ),
inference(forward_demodulation,[],[f147280,f174]) ).
fof(f147293,definition,
( spl0_71
<=> meet(x2,join(z2,meet(a,y2))) = join(meet(x2,z2),meet(a,meet(x2,y2))) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f147295,plain,
( meet(x2,join(z2,meet(a,y2))) = join(meet(x2,z2),meet(a,meet(x2,y2)))
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f147293]) ).
fof(f147296,plain,
( spl0_71
| ~ spl0_37
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f147286,f96224,f61317,f147293]) ).
fof(f149189,plain,
( meet(x2,join(z2,meet(a,y2))) = meet(join(meet(x2,y2),meet(x2,z2)),meet(x2,join(z2,meet(a,y2))))
| ~ spl0_71 ),
inference(superposition,[],[f442,f147295]) ).
fof(f149407,plain,
( meet(x2,join(z2,meet(a,y2))) = meet(meet(x2,join(z2,meet(a,y2))),join(meet(x2,z2),meet(y2,x2)))
| ~ spl0_71 ),
inference(forward_demodulation,[],[f149189,f19498]) ).
fof(f149518,plain,
( meet(x2,join(z2,meet(a,y2))) = meet(meet(x2,join(z2,meet(a,y2))),join(meet(x2,y2),meet(x2,z2)))
| ~ spl0_71 ),
inference(forward_demodulation,[],[f149407,f19495]) ).
fof(f149602,plain,
( meet(x2,join(z2,meet(a,y2))) = meet(x2,meet(join(z2,meet(a,y2)),join(meet(x2,y2),meet(x2,z2))))
| ~ spl0_71 ),
inference(forward_demodulation,[],[f149518,f2]) ).
fof(f149674,plain,
( meet(x2,join(z2,meet(a,y2))) = meet(join(meet(x2,y2),meet(x2,z2)),join(z2,meet(a,y2)))
| ~ spl0_71 ),
inference(forward_demodulation,[],[f149602,f7228]) ).
fof(f149731,plain,
( meet(x2,join(z2,meet(a,y2))) = meet(join(z2,meet(a,y2)),join(meet(x2,z2),meet(y2,x2)))
| ~ spl0_71 ),
inference(forward_demodulation,[],[f149674,f19498]) ).
fof(f149769,plain,
( meet(x2,join(z2,meet(a,y2))) = meet(join(z2,meet(a,y2)),join(meet(x2,y2),meet(x2,z2)))
| ~ spl0_71 ),
inference(forward_demodulation,[],[f149731,f19495]) ).
fof(f149800,definition,
( spl0_83
<=> meet(x2,join(z2,meet(a,y2))) = meet(join(z2,meet(a,y2)),join(meet(x2,y2),meet(x2,z2))) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f149802,plain,
( meet(x2,join(z2,meet(a,y2))) = meet(join(z2,meet(a,y2)),join(meet(x2,y2),meet(x2,z2)))
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f149800]) ).
fof(f149803,plain,
( spl0_83
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f149769,f147293,f149800]) ).
fof(f161987,plain,
( join(meet(x2,y2),meet(a,meet(x2,join(z2,meet(a,y2))))) = join(meet(x2,y2),meet(a,meet(join(z2,meet(a,y2)),meet(x2,z2))))
| ~ spl0_83 ),
inference(superposition,[],[f60114,f149802]) ).
fof(f162100,plain,
( join(meet(x2,y2),meet(a,meet(x2,join(z2,meet(a,y2))))) = join(meet(x2,y2),meet(a,meet(meet(x2,z2),join(z2,meet(a,y2)))))
| ~ spl0_83 ),
inference(forward_demodulation,[],[f161987,f19283]) ).
fof(f162168,plain,
( join(meet(x2,y2),meet(a,meet(x2,join(z2,meet(a,y2))))) = join(meet(x2,y2),meet(a,meet(join(y2,z2),meet(x2,z2))))
| ~ spl0_83 ),
inference(forward_demodulation,[],[f162100,f46089]) ).
fof(f162233,plain,
( join(meet(x2,y2),meet(a,meet(x2,join(z2,meet(a,y2))))) = join(meet(x2,y2),meet(a,meet(meet(x2,z2),join(y2,z2))))
| ~ spl0_83 ),
inference(forward_demodulation,[],[f162168,f19283]) ).
fof(f162293,plain,
( join(meet(x2,y2),meet(a,meet(x2,join(z2,meet(a,y2))))) = join(meet(x2,y2),meet(a,meet(x2,meet(z2,join(y2,z2)))))
| ~ spl0_83 ),
inference(forward_demodulation,[],[f162233,f2]) ).
fof(f162342,plain,
( join(meet(x2,y2),meet(a,meet(x2,z2))) = join(meet(x2,y2),meet(a,meet(x2,join(z2,meet(a,y2)))))
| ~ spl0_83 ),
inference(forward_demodulation,[],[f162293,f45]) ).
fof(f162379,plain,
( join(meet(x2,y2),meet(a,meet(x2,z2))) = join(meet(x2,y2),meet(a,meet(join(y2,z2),x2)))
| ~ spl0_83 ),
inference(forward_demodulation,[],[f162342,f46089]) ).
fof(f162420,plain,
( meet(x2,join(meet(z2,meet(a,x2)),y2)) = join(meet(x2,y2),meet(a,meet(x2,z2)))
| ~ spl0_83 ),
inference(forward_demodulation,[],[f162379,f86057]) ).
fof(f162448,plain,
( join(meet(x2,y2),meet(a,meet(x2,z2))) = meet(x2,join(y2,meet(z2,meet(a,x2))))
| ~ spl0_83 ),
inference(forward_demodulation,[],[f162420,f654]) ).
fof(f162467,plain,
( meet(x2,join(y2,meet(a,meet(x2,z2)))) = join(meet(x2,y2),meet(a,meet(x2,z2)))
| ~ spl0_83 ),
inference(forward_demodulation,[],[f162448,f60919]) ).
fof(f162487,plain,
( meet(x2,join(y2,meet(a,z2))) = join(meet(x2,y2),meet(a,meet(x2,z2)))
| ~ spl0_38
| ~ spl0_83 ),
inference(forward_demodulation,[],[f162467,f61324]) ).
fof(f162502,definition,
( spl0_95
<=> meet(x2,join(y2,meet(a,z2))) = join(meet(x2,y2),meet(a,meet(x2,z2))) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f162504,plain,
( meet(x2,join(y2,meet(a,z2))) = join(meet(x2,y2),meet(a,meet(x2,z2)))
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f162502]) ).
fof(f162505,plain,
( spl0_95
| ~ spl0_38
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f162487,f149800,f61322,f162502]) ).
fof(f162593,plain,
( ! [X0] : meet(X0,join(meet(x2,y2),meet(x2,z2))) = join(meet(X0,meet(x2,join(y2,meet(a,z2)))),meet(X0,join(meet(x2,z2),meet(a,meet(x2,y2)))))
| ~ spl0_95 ),
inference(superposition,[],[f14,f162504]) ).
fof(f162866,plain,
( ! [X0] : meet(X0,join(meet(x2,y2),meet(x2,z2))) = join(meet(X0,meet(x2,join(y2,meet(a,z2)))),meet(X0,meet(x2,join(z2,meet(a,y2)))))
| ~ spl0_71
| ~ spl0_95 ),
inference(forward_demodulation,[],[f162593,f147295]) ).
fof(f162980,plain,
( ! [X0] : meet(X0,meet(x2,join(y2,z2))) = meet(X0,join(meet(x2,y2),meet(x2,z2)))
| ~ spl0_71
| ~ spl0_95 ),
inference(forward_demodulation,[],[f162866,f164]) ).
fof(f163421,plain,
( join(meet(x2,z2),meet(x2,y2)) = meet(join(meet(x2,z2),meet(x2,y2)),meet(x2,join(y2,z2)))
| ~ spl0_71
| ~ spl0_95 ),
inference(superposition,[],[f162980,f742]) ).
fof(f163817,plain,
( join(meet(x2,z2),meet(x2,y2)) = meet(meet(x2,join(y2,z2)),join(meet(x2,y2),meet(z2,x2)))
| ~ spl0_71
| ~ spl0_95 ),
inference(forward_demodulation,[],[f163421,f19498]) ).
fof(f163979,plain,
( join(meet(x2,z2),meet(x2,y2)) = meet(meet(x2,join(y2,z2)),join(meet(x2,y2),meet(x2,z2)))
| ~ spl0_71
| ~ spl0_95 ),
inference(forward_demodulation,[],[f163817,f19899]) ).
fof(f164095,plain,
( join(meet(x2,z2),meet(x2,y2)) = meet(meet(x2,join(y2,z2)),meet(x2,join(y2,z2)))
| ~ spl0_71
| ~ spl0_95 ),
inference(forward_demodulation,[],[f163979,f162980]) ).
fof(f164189,plain,
( join(meet(x2,z2),meet(x2,y2)) = meet(join(y2,z2),meet(meet(x2,join(y2,z2)),x2))
| ~ spl0_71
| ~ spl0_95 ),
inference(forward_demodulation,[],[f164095,f158]) ).
fof(f164265,plain,
( join(meet(x2,z2),meet(x2,y2)) = meet(x2,meet(meet(x2,join(y2,z2)),join(z2,y2)))
| ~ spl0_71
| ~ spl0_95 ),
inference(forward_demodulation,[],[f164189,f863]) ).
fof(f164324,plain,
( join(meet(x2,z2),meet(x2,y2)) = meet(x2,meet(join(z2,y2),meet(x2,join(y2,z2))))
| ~ spl0_71
| ~ spl0_95 ),
inference(forward_demodulation,[],[f164265,f811]) ).
fof(f164372,plain,
( join(meet(x2,z2),meet(x2,y2)) = meet(x2,meet(join(y2,z2),meet(x2,join(y2,z2))))
| ~ spl0_71
| ~ spl0_95 ),
inference(forward_demodulation,[],[f164324,f648]) ).
fof(f164411,plain,
( join(meet(x2,z2),meet(x2,y2)) = meet(x2,meet(x2,meet(join(y2,z2),join(z2,y2))))
| ~ spl0_71
| ~ spl0_95 ),
inference(forward_demodulation,[],[f164372,f800]) ).
fof(f164436,plain,
( join(meet(x2,z2),meet(x2,y2)) = meet(x2,meet(x2,meet(join(y2,z2),join(y2,z2))))
| ~ spl0_71
| ~ spl0_95 ),
inference(forward_demodulation,[],[f164411,f647]) ).
fof(f164452,plain,
( join(meet(x2,z2),meet(x2,y2)) = meet(x2,meet(join(y2,z2),join(y2,z2)))
| ~ spl0_71
| ~ spl0_95 ),
inference(forward_demodulation,[],[f164436,f174]) ).
fof(f164467,plain,
( meet(x2,join(y2,z2)) = join(meet(x2,z2),meet(x2,y2))
| ~ spl0_71
| ~ spl0_95 ),
inference(forward_demodulation,[],[f164452,f52]) ).
fof(f164479,plain,
( meet(x2,join(y2,z2)) = join(meet(x2,y2),meet(z2,x2))
| ~ spl0_71
| ~ spl0_95 ),
inference(forward_demodulation,[],[f164467,f19470]) ).
fof(f164487,plain,
( meet(x2,join(y2,z2)) = join(meet(x2,y2),meet(x2,z2))
| ~ spl0_71
| ~ spl0_95 ),
inference(forward_demodulation,[],[f164479,f11766]) ).
fof(f164491,plain,
( $false
| spl0_1
| ~ spl0_71
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[],[f164487,f20]) ).
fof(f164492,plain,
( spl0_1
| ~ spl0_71
| ~ spl0_95 ),
inference(avatar_contradiction_clause,[],[f164491]) ).
cnf(s1,plain,
~ spl0_1,
inference(sat_conversion,[],[f21]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f26]) ).
cnf(s3,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f98]) ).
cnf(s6,plain,
( ~ spl0_2
| spl0_6 ),
inference(sat_conversion,[],[f3332]) ).
cnf(s10,plain,
( ~ spl0_2
| spl0_10 ),
inference(sat_conversion,[],[f23838]) ).
cnf(s18,plain,
( ~ spl0_2
| ~ spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f36407]) ).
cnf(s22,plain,
( ~ spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f37013]) ).
cnf(s36,plain,
( ~ spl0_6
| spl0_24 ),
inference(sat_conversion,[],[f48609]) ).
cnf(s38,plain,
( ~ spl0_19
| ~ spl0_24
| spl0_26 ),
inference(sat_conversion,[],[f48882]) ).
cnf(s40,plain,
( ~ spl0_24
| spl0_27 ),
inference(sat_conversion,[],[f48915]) ).
cnf(s41,plain,
( ~ spl0_3
| spl0_28 ),
inference(sat_conversion,[],[f53964]) ).
cnf(s62,plain,
( ~ spl0_2
| spl0_34 ),
inference(sat_conversion,[],[f61172]) ).
cnf(s64,plain,
( ~ spl0_26
| spl0_36 ),
inference(sat_conversion,[],[f61301]) ).
cnf(s65,plain,
( ~ spl0_28
| spl0_37 ),
inference(sat_conversion,[],[f61320]) ).
cnf(s66,plain,
( ~ spl0_27
| spl0_38 ),
inference(sat_conversion,[],[f61325]) ).
cnf(s67,plain,
( ~ spl0_34
| ~ spl0_36
| spl0_39 ),
inference(sat_conversion,[],[f61379]) ).
cnf(s74,plain,
( ~ spl0_2
| ~ spl0_37
| ~ spl0_39
| spl0_44 ),
inference(sat_conversion,[],[f64883]) ).
cnf(s116,plain,
( ~ spl0_44
| spl0_60 ),
inference(sat_conversion,[],[f96227]) ).
cnf(s148,plain,
( ~ spl0_37
| ~ spl0_60
| spl0_71 ),
inference(sat_conversion,[],[f147296]) ).
cnf(s166,plain,
( ~ spl0_71
| spl0_83 ),
inference(sat_conversion,[],[f149803]) ).
cnf(s187,plain,
( ~ spl0_38
| ~ spl0_83
| spl0_95 ),
inference(sat_conversion,[],[f162505]) ).
cnf(s227,plain,
( spl0_1
| ~ spl0_71
| ~ spl0_95 ),
inference(sat_conversion,[],[f164492]) ).
cnf(s228,plain,
spl0_34,
inference(rat,[],[s62,s2]) ).
cnf(s229,plain,
spl0_10,
inference(rat,[],[s10,s2]) ).
cnf(s232,plain,
spl0_6,
inference(rat,[],[s6,s2]) ).
cnf(s233,plain,
spl0_3,
inference(rat,[],[s3,s2]) ).
cnf(s235,plain,
spl0_16,
inference(rat,[],[s18,s2,s229]) ).
cnf(s240,plain,
spl0_24,
inference(rat,[],[s36,s232]) ).
cnf(s242,plain,
spl0_28,
inference(rat,[],[s41,s233]) ).
cnf(s247,plain,
spl0_19,
inference(rat,[],[s22,s235]) ).
cnf(s252,plain,
spl0_27,
inference(rat,[],[s40,s240]) ).
cnf(s253,plain,
spl0_37,
inference(rat,[],[s65,s242]) ).
cnf(s256,plain,
spl0_26,
inference(rat,[],[s38,s240,s247]) ).
cnf(s261,plain,
spl0_38,
inference(rat,[],[s66,s252]) ).
cnf(s268,plain,
spl0_36,
inference(rat,[],[s64,s256]) ).
cnf(s276,plain,
spl0_39,
inference(rat,[],[s67,s228,s268]) ).
cnf(s281,plain,
spl0_44,
inference(rat,[],[s74,s253,s2,s276]) ).
cnf(s292,plain,
spl0_60,
inference(rat,[],[s116,s281]) ).
cnf(s295,plain,
spl0_71,
inference(rat,[],[s148,s253,s292]) ).
cnf(s302,plain,
spl0_83,
inference(rat,[],[s166,s295]) ).
cnf(s315,plain,
spl0_95,
inference(rat,[],[s187,s261,s302]) ).
cnf(s329,plain,
spl0_1,
inference(rat,[],[s227,s295,s315]) ).
cnf(s330,plain,
$false,
inference(rat,[],[s1,s329]) ).
fof(f164509,plain,
$false,
inference(avatar_sat_refutation,[],[s330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT400-1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 % Computer : n010.cluster.edu
% 0.21/0.48 % Model : x86_64 x86_64
% 0.21/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.48 % Memory : 8046.5625MB
% 0.21/0.48 % OS : Linux 6.8.0-71-generic
% 0.21/0.48 % CPULimit : 300
% 0.21/0.48 % WCLimit : 300
% 0.21/0.48 % DateTime : Sun Sep 27 15:15:46 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.48 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 148.51/22.11 % (1076307)Detected a unit-equality problem, will run specialized UEQ schedule.
% 148.51/22.11 % (1076316)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2569330156:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 148.51/22.11 % (1076313)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3930788565:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 148.51/22.11 % (1076314)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=686610695:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 148.51/22.11 % (1076312)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3825006093:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 148.51/22.11 % (1076315)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=4163553900:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 148.51/22.11 % (1076318)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4234783162:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 148.51/22.11 % (1076317)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3517328892:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 148.51/22.11 % (1076316)Instruction limit reached!
% 148.51/22.11 % (1076316)------------------------------
% 148.51/22.11 % (1076316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.51/22.11 % (1076316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.51/22.11 % (1076316)CaDiCaL version: 2.1.3
% 148.51/22.11 % (1076316)Termination reason: Instruction limit
% 148.51/22.11 % (1076316)Termination phase: Saturation
% 148.51/22.11 % (1076316)Time elapsed: 0.094 s
% 148.51/22.11 % (1076316)Peak memory usage: 89 MB
% 148.51/22.11 % (1076316)Instructions burned: 182 (million)
% 148.51/22.11 % (1076315)Instruction limit reached!
% 148.51/22.11 % (1076315)------------------------------
% 148.51/22.11 % (1076315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.51/22.11 % (1076315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.51/22.11 % (1076315)CaDiCaL version: 2.1.3
% 148.51/22.11 % (1076315)Termination reason: Instruction limit
% 148.51/22.11 % (1076315)Termination phase: Saturation
% 148.51/22.11 % (1076315)Time elapsed: 0.135 s
% 148.51/22.11 % (1076315)Peak memory usage: 88 MB
% 148.51/22.11 % (1076315)Instructions burned: 136 (million)
% 148.51/22.11 % (1076317)Instruction limit reached!
% 148.51/22.11 % (1076317)------------------------------
% 148.51/22.11 % (1076317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.51/22.11 % (1076317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.51/22.11 % (1076317)CaDiCaL version: 2.1.3
% 148.51/22.11 % (1076317)Termination reason: Instruction limit
% 148.51/22.11 % (1076317)Termination phase: Saturation
% 148.51/22.11 % (1076317)Time elapsed: 0.274 s
% 148.51/22.11 % (1076317)Peak memory usage: 90 MB
% 148.51/22.11 % (1076317)Instructions burned: 257 (million)
% 148.51/22.11 % (1076326)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=644950582:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 148.51/22.11 % (1076327)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3088758600:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 148.51/22.11 % (1076328)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2556335884:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 148.51/22.11 % (1076328)Instruction limit reached!
% 148.51/22.11 % (1076328)------------------------------
% 148.51/22.11 % (1076328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.51/22.11 % (1076328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.51/22.11 % (1076328)CaDiCaL version: 2.1.3
% 148.51/22.11 % (1076328)Termination reason: Instruction limit
% 148.51/22.11 % (1076328)Termination phase: Saturation
% 148.51/22.11 % (1076328)Time elapsed: 0.199 s
% 197.02/28.93 % (1076328)Peak memory usage: 91 MB
% 197.02/28.93 % (1076328)Instructions burned: 216 (million)
% 197.02/28.93 % (1076332)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2405179966:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2989 on theBenchmark for (2989ds/317Mi)
% 197.02/28.93 % (1076318)Instruction limit reached!
% 197.02/28.93 % (1076318)------------------------------
% 197.02/28.93 % (1076318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 197.02/28.93 % (1076318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.02/28.93 % (1076318)CaDiCaL version: 2.1.3
% 197.02/28.93 % (1076318)Termination reason: Instruction limit
% 197.02/28.93 % (1076318)Termination phase: Saturation
% 197.02/28.93 % (1076318)Time elapsed: 1.108 s
% 197.02/28.93 % (1076318)Peak memory usage: 99 MB
% 197.02/28.93 % (1076318)Instructions burned: 1187 (million)
% 197.02/28.93 % (1076332)Instruction limit reached!
% 197.02/28.93 % (1076332)------------------------------
% 197.02/28.93 % (1076332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 197.02/28.93 % (1076332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.02/28.93 % (1076332)CaDiCaL version: 2.1.3
% 197.02/28.93 % (1076332)Termination reason: Instruction limit
% 197.02/28.93 % (1076332)Termination phase: Saturation
% 197.02/28.93 % (1076332)Time elapsed: 0.301 s
% 197.02/28.93 % (1076332)Peak memory usage: 90 MB
% 197.02/28.93 % (1076332)Instructions burned: 318 (million)
% 197.02/28.93 % (1076334)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=45395866:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/12125Mi)
% 197.02/28.93 % (1076326)Instruction limit reached!
% 197.02/28.93 % (1076326)------------------------------
% 197.02/28.93 % (1076326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 197.02/28.93 % (1076326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.02/28.93 % (1076326)CaDiCaL version: 2.1.3
% 197.02/28.93 % (1076326)Termination reason: Instruction limit
% 197.02/28.93 % (1076326)Termination phase: Saturation
% 197.02/28.93 % (1076326)Time elapsed: 1.235 s
% 197.02/28.93 % (1076326)Peak memory usage: 141 MB
% 197.02/28.93 % (1076326)Instructions burned: 2056 (million)
% 197.02/28.93 % (1076335)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3679190029:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2983 on theBenchmark for (2983ds/2836Mi)
% 197.02/28.93 % (1076337)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2811656621:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2981 on theBenchmark for (2981ds/14534Mi)
% 197.02/28.93 % (1076335)Instruction limit reached!
% 197.02/28.93 % (1076335)------------------------------
% 197.02/28.93 % (1076335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 197.02/28.93 % (1076335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.02/28.93 % (1076335)CaDiCaL version: 2.1.3
% 197.02/28.93 % (1076335)Termination reason: Instruction limit
% 197.02/28.93 % (1076335)Termination phase: Saturation
% 197.02/28.93 % (1076335)Time elapsed: 3.034 s
% 197.02/28.93 % (1076335)Peak memory usage: 133 MB
% 197.02/28.93 % (1076335)Instructions burned: 2836 (million)
% 197.02/28.93 % (1076340)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=859818490:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2949 on theBenchmark for (2949ds/11832Mi)
% 197.02/28.93 % (1076327)Instruction limit reached!
% 197.02/28.93 % (1076327)------------------------------
% 197.02/28.93 % (1076327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 197.02/28.93 % (1076327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.02/28.93 % (1076327)CaDiCaL version: 2.1.3
% 197.02/28.93 % (1076327)Termination reason: Instruction limit
% 197.02/28.93 % (1076327)Termination phase: Saturation
% 197.02/28.93 % (1076327)Time elapsed: 5.154 s
% 197.02/28.93 % (1076327)Peak memory usage: 162 MB
% 197.02/28.93 % (1076327)Instructions burned: 4949 (million)
% 197.02/28.93 % (1076343)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=87597603:i=2279:fgj=on:bd=all_2940 on theBenchmark for (2940ds/2279Mi)
% 197.02/28.93 % (1076343)Instruction limit reached!
% 197.02/28.93 % (1076343)------------------------------
% 271.56/39.48 % (1076343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 271.56/39.48 % (1076343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 271.56/39.48 % (1076343)CaDiCaL version: 2.1.3
% 271.56/39.48 % (1076343)Termination reason: Instruction limit
% 271.56/39.48 % (1076343)Termination phase: Saturation
% 271.56/39.48 % (1076343)Time elapsed: 2.483 s
% 271.56/39.48 % (1076343)Peak memory usage: 140 MB
% 271.56/39.48 % (1076343)Instructions burned: 2354 (million)
% 271.56/39.48 % (1076345)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=1531665205:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2912 on theBenchmark for (2912ds/6225Mi)
% 271.56/39.48 % (1076334)Instruction limit reached!
% 271.56/39.48 % (1076334)------------------------------
% 271.56/39.48 % (1076334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 271.56/39.48 % (1076334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 271.56/39.48 % (1076334)CaDiCaL version: 2.1.3
% 271.56/39.48 % (1076334)Termination reason: Instruction limit
% 271.56/39.48 % (1076334)Termination phase: Saturation
% 271.56/39.48 % (1076334)Time elapsed: 7.423 s
% 271.56/39.48 % (1076334)Peak memory usage: 232 MB
% 271.56/39.48 % (1076334)Instructions burned: 12126 (million)
% 271.56/39.48 % (1076347)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=926062918:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2908 on theBenchmark for (2908ds/21755Mi)
% 271.56/39.48 % (1076345)Instruction limit reached!
% 271.56/39.48 % (1076345)------------------------------
% 271.56/39.48 % (1076345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 271.56/39.48 % (1076345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 271.56/39.48 % (1076345)CaDiCaL version: 2.1.3
% 271.56/39.48 % (1076345)Termination reason: Instruction limit
% 271.56/39.48 % (1076345)Termination phase: Saturation
% 271.56/39.48 % (1076345)Time elapsed: 6.236 s
% 271.56/39.48 % (1076345)Peak memory usage: 155 MB
% 271.56/39.48 % (1076345)Instructions burned: 6225 (million)
% 271.56/39.48 % (1076366)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=1134729600:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2847 on theBenchmark for (2847ds/16427Mi)
% 271.56/39.48 % (1076337)Instruction limit reached!
% 271.56/39.48 % (1076337)------------------------------
% 271.56/39.48 % (1076337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 271.56/39.48 % (1076337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 271.56/39.48 % (1076337)CaDiCaL version: 2.1.3
% 271.56/39.48 % (1076337)Termination reason: Instruction limit
% 271.56/39.48 % (1076337)Termination phase: Saturation
% 271.56/39.48 % (1076337)Time elapsed: 15.540 s
% 271.56/39.48 % (1076337)Peak memory usage: 230 MB
% 271.56/39.48 % (1076337)Instructions burned: 14534 (million)
% 271.56/39.48 % (1076370)lrs+1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:drc=off:fde=none:sp=const_frequency:spb=goal:fd=preordered:random_seed=1788217526:i=9356:fgj=on:bd=preordered:av=off_2822 on theBenchmark for (2822ds/9356Mi)
% 271.56/39.48 % (1076340)Instruction limit reached!
% 271.56/39.48 % (1076340)------------------------------
% 271.56/39.48 % (1076340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 271.56/39.48 % (1076340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 271.56/39.48 % (1076340)CaDiCaL version: 2.1.3
% 271.56/39.48 % (1076340)Termination reason: Instruction limit
% 271.56/39.48 % (1076340)Termination phase: Saturation
% 271.56/39.48 % (1076340)Time elapsed: 12.999 s
% 271.56/39.48 % (1076340)Peak memory usage: 213 MB
% 271.56/39.48 % (1076340)Instructions burned: 11832 (million)
% 271.56/39.48 % (1076374)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=1869399115:i=2070:kws=inv_precedence:slsql=off:bd=all_2816 on theBenchmark for (2816ds/2070Mi)
% 271.56/39.48 % (1076374)Instruction limit reached!
% 271.56/39.48 % (1076374)------------------------------
% 271.56/39.48 % (1076374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 271.56/39.48 % (1076374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 271.56/39.48 % (1076374)CaDiCaL version: 2.1.3
% 271.56/39.48 % (1076374)Termination reason: Instruction limit
% 271.56/39.48 % (1076374)Termination phase: Saturation
% 268.91/40.79 % (1076374)Time elapsed: 2.116 s
% 268.91/40.79 % (1076374)Peak memory usage: 129 MB
% 268.91/40.79 % (1076374)Instructions burned: 2070 (million)
% 268.91/40.79 % (1076376)lrs+1002_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=8000:tgt=ground:npcc=on:fde=unused:sp=const_min:urr=ec_only:s2agt=32:random_seed=2615754251:st=3:i=6461:fgj=on:bd=preordered:av=off:ss=axioms_2791 on theBenchmark for (2791ds/6461Mi)
% 268.91/40.79 % (1076347)Instruction limit reached!
% 268.91/40.79 % (1076347)------------------------------
% 268.91/40.79 % (1076347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 268.91/40.79 % (1076347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 268.91/40.79 % (1076347)CaDiCaL version: 2.1.3
% 268.91/40.79 % (1076347)Termination reason: Instruction limit
% 268.91/40.79 % (1076347)Termination phase: Saturation
% 268.91/40.79 % (1076347)Time elapsed: 13.281 s
% 268.91/40.79 % (1076347)Peak memory usage: 223 MB
% 268.91/40.79 % (1076347)Instructions burned: 21758 (million)
% 268.91/40.79 % (1076417)lrs+10_6_to=lpo:lpd=off:sil=8000:tgt=ground:drc=off:sp=arity:spb=goal:fd=preordered:random_seed=2436742101:i=2310:bd=all:ss=included_2772 on theBenchmark for (2772ds/2310Mi)
% 268.91/40.79 % (1076417)Instruction limit reached!
% 268.91/40.79 % (1076417)------------------------------
% 268.91/40.79 % (1076417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 268.91/40.79 % (1076417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 268.91/40.79 % (1076417)CaDiCaL version: 2.1.3
% 268.91/40.79 % (1076417)Termination reason: Instruction limit
% 268.91/40.79 % (1076417)Termination phase: Saturation
% 268.91/40.79 % (1076417)Time elapsed: 0.753 s
% 268.91/40.79 % (1076417)Peak memory usage: 106 MB
% 268.91/40.79 % (1076417)Instructions burned: 2312 (million)
% 268.91/40.79 % (1076419)dis+11_1_sil=8000:fd=off:nwc=20:random_seed=1587723861:st=3:s2pl=on:i=2616:av=off:fsr=off:ss=axioms:sgt=8_2763 on theBenchmark for (2763ds/2616Mi)
% 268.91/40.79 % (1076419)Instruction limit reached!
% 268.91/40.79 % (1076419)------------------------------
% 268.91/40.79 % (1076419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 268.91/40.79 % (1076419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 268.91/40.79 % (1076419)CaDiCaL version: 2.1.3
% 268.91/40.79 % (1076419)Termination reason: Instruction limit
% 268.91/40.79 % (1076419)Termination phase: Saturation
% 268.91/40.79 % (1076419)Time elapsed: 0.792 s
% 268.91/40.79 % (1076419)Peak memory usage: 117 MB
% 268.91/40.79 % (1076419)Instructions burned: 2617 (million)
% 268.91/40.79 % (1076421)lrs+0_1_ncem=casc2026/models/loop3.pt:sil=32000:tgt=ground:npcc=on:sp=occurrence:urr=ec_only:fd=preordered:random_seed=754851903:i=30521:gtgl=2:kws=inv_arity:bd=all:gtg=exists_sym_2754 on theBenchmark for (2754ds/30521Mi)
% 268.91/40.79 % (1076376)Instruction limit reached!
% 268.91/40.79 % (1076376)------------------------------
% 268.91/40.79 % (1076376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 268.91/40.79 % (1076376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 268.91/40.79 % (1076376)CaDiCaL version: 2.1.3
% 268.91/40.79 % (1076376)Termination reason: Instruction limit
% 268.91/40.79 % (1076376)Termination phase: Saturation
% 268.91/40.79 % (1076376)Time elapsed: 4.261 s
% 268.91/40.79 % (1076376)Peak memory usage: 170 MB
% 268.91/40.79 % (1076376)Instructions burned: 6461 (million)
% 268.91/40.79 % (1076370)Instruction limit reached!
% 268.91/40.79 % (1076370)------------------------------
% 268.91/40.79 % (1076370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 268.91/40.79 % (1076370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 268.91/40.79 % (1076370)CaDiCaL version: 2.1.3
% 268.91/40.79 % (1076370)Termination reason: Instruction limit
% 268.91/40.79 % (1076370)Termination phase: Saturation
% 268.91/40.79 % (1076370)Time elapsed: 7.432 s
% 268.91/40.79 % (1076370)Peak memory usage: 199 MB
% 268.91/40.79 % (1076370)Instructions burned: 9357 (million)
% 268.91/40.79 % (1076423)lrs+11_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:tgt=full:npcc=on:prc=on:fde=unused:sp=reverse_frequency:spb=goal:acc=on:urr=ec_only:s2agt=32:random_seed=3741292545:i=3258:fgj=on:bd=all:ins=1_2745 on theBenchmark for (2745ds/3258Mi)
% 268.91/40.79 % (1076424)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:sp=reverse_frequency:kmz=on:random_seed=2820049932:i=5037:kws=precedence_2745 on theBenchmark for (2745ds/5037Mi)
% 268.91/40.79 % (1076423)Instruction limit reached!
% 268.91/40.79 % (1076423)------------------------------
% 268.91/40.79 % (1076423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 268.91/40.79 % (1076423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 268.91/40.79 % (1076423)CaDiCaL version: 2.1.3
% 268.91/40.79 % (1076423)Termination reason: Instruction limit
% 268.91/40.79 % (1076423)Termination phase: Saturation
% 268.91/40.79 % (1076423)Time elapsed: 2.046 s
% 268.91/40.79 % (1076423)Peak memory usage: 151 MB
% 268.91/40.79 % (1076423)Instructions burned: 3258 (million)
% 268.91/40.79 % (1076427)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:acc=on:urr=on:bsr=unit_only:br=off:random_seed=1885537588:i=65240_2723 on theBenchmark for (2723ds/65240Mi)
% 268.91/40.79 % (1076366)Instruction limit reached!
% 268.91/40.79 % (1076366)------------------------------
% 268.91/40.79 % (1076366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 268.91/40.79 % (1076366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 268.91/40.79 % (1076366)CaDiCaL version: 2.1.3
% 268.91/40.79 % (1076366)Termination reason: Instruction limit
% 268.91/40.79 % (1076366)Termination phase: Saturation
% 268.91/40.79 % (1076366)Time elapsed: 12.948 s
% 268.91/40.79 % (1076366)Peak memory usage: 219 MB
% 268.91/40.79 % (1076366)Instructions burned: 16428 (million)
% 268.91/40.79 % (1076424)Instruction limit reached!
% 268.91/40.79 % (1076424)------------------------------
% 268.91/40.79 % (1076424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 268.91/40.79 % (1076424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 268.91/40.79 % (1076424)CaDiCaL version: 2.1.3
% 268.91/40.79 % (1076424)Termination reason: Instruction limit
% 268.91/40.79 % (1076424)Termination phase: Saturation
% 268.91/40.79 % (1076424)Time elapsed: 3.008 s
% 268.91/40.79 % (1076424)Peak memory usage: 165 MB
% 268.91/40.79 % (1076424)Instructions burned: 5039 (million)
% 268.91/40.79 % (1076543)lrs-1011_1_ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:fde=unused:sp=weighted_frequency:urr=ec_only:random_seed=3776294575:i=16502:kws=inv_precedence:fgj=on:bd=preordered:ins=3:av=off_2714 on theBenchmark for (2714ds/16502Mi)
% 268.91/40.79 % (1076544)lrs-1011_1_to=lpo:ncem=casc2026/models/loop2.pt:sil=32000:npcc=on:drc=off:sp=const_max:spb=goal_then_units:urr=ec_only:fd=preordered:random_seed=1084338034:i=7623:bd=preordered:er=filter_2713 on theBenchmark for (2713ds/7623Mi)
% 268.91/40.79 % (1076544)Instruction limit reached!
% 268.91/40.79 % (1076544)------------------------------
% 268.91/40.79 % (1076544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 268.91/40.79 % (1076544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 268.91/40.79 % (1076544)CaDiCaL version: 2.1.3
% 268.91/40.79 % (1076544)Termination reason: Instruction limit
% 268.91/40.79 % (1076544)Termination phase: Saturation
% 268.91/40.79 % (1076544)Time elapsed: 4.608 s
% 268.91/40.79 % (1076544)Peak memory usage: 186 MB
% 268.91/40.79 % (1076544)Instructions burned: 7623 (million)
% 268.91/40.79 % (1076547)dis+1010_1_anc=none:ncem=casc2026/models/loop3.pt:sil=16000:tgt=full:npcc=on:sp=const_min:spb=non_intro:lcm=predicate:acc=on:urr=ec_only:rp=on:gs=on:random_seed=2804858934:i=8183:kws=frequency:add=off:gsp=on_2665 on theBenchmark for (2665ds/8183Mi)
% 268.91/40.79 % (1076421)Instruction limit reached!
% 268.91/40.79 % (1076421)------------------------------
% 268.91/40.79 % (1076421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 268.91/40.79 % (1076421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 268.91/40.79 % (1076421)CaDiCaL version: 2.1.3
% 268.91/40.79 % (1076421)Termination reason: Instruction limit
% 268.91/40.79 % (1076421)Termination phase: Saturation
% 268.91/40.79 % (1076421)Time elapsed: 10.561 s
% 268.91/40.79 % (1076421)Peak memory usage: 354 MB
% 268.91/40.79 % (1076421)Instructions burned: 30522 (million)
% 268.91/40.79 % (1076549)lrs-1011_1_anc=all_dependent:ncem=casc2026/models/loop4.pt:sil=32000:npcc=on:bsr=unit_only:random_seed=2582954259:i=8387_2647 on theBenchmark for (2647ds/8387Mi)
% 268.91/40.79 % (1076549)Instruction limit reached!
% 268.91/40.79 % (1076549)------------------------------
% 268.91/40.79 % (1076549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 268.91/40.79 % (1076549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 268.91/40.79 % (1076549)CaDiCaL version: 2.1.3
% 268.91/40.79 % (1076549)Termination reason: Instruction limit
% 268.91/40.79 % (1076549)Termination phase: Saturation
% 268.91/40.79 % (1076549)Time elapsed: 2.772 s
% 268.91/40.79 % (1076549)Peak memory usage: 193 MB
% 268.91/40.79 % (1076549)Instructions burned: 8388 (million)
% 268.91/40.79 % (1076547)Instruction limit reached!
% 268.91/40.79 % (1076547)------------------------------
% 268.91/40.79 % (1076547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 268.91/40.79 % (1076547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 268.91/40.79 % (1076547)CaDiCaL version: 2.1.3
% 268.91/40.79 % (1076547)Termination reason: Instruction limit
% 268.91/40.79 % (1076547)Termination phase: Saturation
% 268.91/40.79 % (1076547)Time elapsed: 4.602 s
% 268.91/40.79 % (1076547)Peak memory usage: 198 MB
% 268.91/40.79 % (1076547)Instructions burned: 8184 (million)
% 268.91/40.79 % (1076551)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3060035655:i=53964:kws=inv_arity_squared:fgj=on:bd=preordered_2618 on theBenchmark for (2618ds/53964Mi)
% 268.91/40.79 % (1076552)lrs-1011_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:tgt=full:npcc=on:sp=reverse_frequency:spb=goal:lsd=20:urr=on:flr=on:random_seed=716218559:i=10575:s2at=5:gtg=position_2617 on theBenchmark for (2617ds/10575Mi)
% 268.91/40.79 % (1076543)Instruction limit reached!
% 268.91/40.79 % (1076543)------------------------------
% 268.91/40.79 % (1076543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 268.91/40.79 % (1076543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 268.91/40.79 % (1076543)CaDiCaL version: 2.1.3
% 268.91/40.79 % (1076543)Termination reason: Instruction limit
% 268.91/40.79 % (1076543)Termination phase: Saturation
% 268.91/40.79 % (1076543)Time elapsed: 9.948 s
% 268.91/40.79 % (1076543)Peak memory usage: 236 MB
% 268.91/40.79 % (1076543)Instructions burned: 16502 (million)
% 268.91/40.79 % (1076555)ott-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=ground:npcc=on:lsd=50:urr=ec_only:random_seed=292549672:i=12036:s2at=3:gtgl=2:kws=frequency:add=off:fgj=on:bd=preordered:ins=2:gtg=exists_sym_2613 on theBenchmark for (2613ds/12036Mi)
% 268.91/40.79 % (1076427)First to succeed.
% 268.91/40.79 % (1076427)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1076307"
% 268.91/40.79 % (1076427)Refutation found. Thanks to Tanya!
% 268.91/40.79 % SZS status Unsatisfiable for theBenchmark
% 268.91/40.79 % SZS output start Proof for theBenchmark
% See solution above
% 281.37/41.02 % (1076427)------------------------------
% 281.37/41.02 % (1076427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 281.37/41.02 % (1076427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 281.37/41.02 % (1076427)CaDiCaL version: 2.1.3
% 281.37/41.02 % (1076427)Termination reason: Refutation
% 281.37/41.02 % (1076427)Time elapsed: 11.359 s
% 281.37/41.02 % (1076427)Peak memory usage: 266 MB
% 281.37/41.02 % (1076427)Instructions burned: 18032 (million)
% 281.37/41.02 % (1076427)------------------------------
% 281.37/41.02 % (1076427)------------------------------
% 281.37/41.02 % (1076307)Success in time 39.486 s
% 281.37/41.02 % Vampire exiting
%------------------------------------------------------------------------------