%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT186-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 11:46:10 AM UTC 2026
% Result : Unsatisfiable 62.12s 9.67s
% Output : Refutation 62.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 91
% Number of leaves : 23
% Syntax : Number of formulae : 413 ( 391 unt; 11 def)
% Number of atoms : 462 ( 395 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 95 ( 46 ~; 43 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 7 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-4 aty)
% Number of variables : 918 ( 0 sgn 918 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f5,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f6,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f7,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f8,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f9,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f10,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_join) ).
fof(f11,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_meet) ).
fof(f12,axiom,
! [X0,X1] : ifeq(join(X0,X1),one,ifeq(meet(X0,X1),zero,complement(X0),X1),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f13,axiom,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X1,meet(X2,join(X0,meet(X1,join(X2,meet(X0,X1))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H11) ).
fof(f14,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f15,definition,
sF0 = join(b,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f16,plain,
join(b,c) = sF0,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF1 = meet(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f18,plain,
meet(a,sF0) = sF1,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF2 = meet(a,b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f20,plain,
meet(a,b) = sF2,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF3 = meet(a,c),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f22,plain,
meet(a,c) = sF3,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF4 = join(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f24,plain,
join(sF2,sF3) = sF4,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
sF1 != sF4,
inference(definition_folding,[],[f14,f24,f22,f20,f18,f16]) ).
fof(f26,plain,
sF1 = meet(sF0,a),
inference(forward_demodulation,[],[f18,f6]) ).
fof(f27,plain,
sF2 = meet(b,a),
inference(forward_demodulation,[],[f20,f6]) ).
fof(f28,plain,
sF3 = meet(c,a),
inference(forward_demodulation,[],[f22,f6]) ).
fof(f32,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f5,f6]) ).
fof(f34,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f4,f7]) ).
fof(f36,definition,
( spl5_1
<=> sF1 = sF4 ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f38,plain,
( sF1 != sF4
| spl5_1 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f39,plain,
~ spl5_1,
inference(avatar_split_clause,[],[f25,f36]) ).
fof(f41,definition,
( spl5_2
<=> sF3 = meet(c,a) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f43,plain,
( sF3 = meet(c,a)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,plain,
spl5_2,
inference(avatar_split_clause,[],[f28,f41]) ).
fof(f48,definition,
( spl5_3
<=> join(b,c) = sF0 ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f50,plain,
( join(b,c) = sF0
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f51,plain,
spl5_3,
inference(avatar_split_clause,[],[f16,f48]) ).
fof(f55,definition,
( spl5_4
<=> sF2 = meet(b,a) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f57,plain,
( sF2 = meet(b,a)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f58,plain,
spl5_4,
inference(avatar_split_clause,[],[f27,f55]) ).
fof(f62,definition,
( spl5_5
<=> sF1 = meet(sF0,a) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
fof(f64,plain,
( sF1 = meet(sF0,a)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f65,plain,
spl5_5,
inference(avatar_split_clause,[],[f26,f62]) ).
fof(f68,definition,
( spl5_6
<=> join(sF2,sF3) = sF4 ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
fof(f70,plain,
( join(sF2,sF3) = sF4
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,plain,
spl5_6,
inference(avatar_split_clause,[],[f24,f68]) ).
fof(f73,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f32,f4]) ).
fof(f83,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f73,f7]) ).
fof(f84,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f34,f5]) ).
fof(f85,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f34,f32]) ).
fof(f90,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(superposition,[],[f32,f34]) ).
fof(f92,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f90,f7]) ).
fof(f94,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f85,f6]) ).
fof(f95,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f84,f6]) ).
fof(f96,plain,
! [X2,X0,X1] : join(X0,join(meet(X0,X1),X2)) = join(X0,X2),
inference(superposition,[],[f9,f5]) ).
fof(f97,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f9,f32]) ).
fof(f107,plain,
! [X2,X0,X1] : join(X0,X1) = join(X0,join(X1,meet(join(X0,X1),X2))),
inference(superposition,[],[f5,f9]) ).
fof(f109,plain,
! [X2,X0,X1] : meet(X2,join(X0,join(X1,X2))) = X2,
inference(superposition,[],[f34,f9]) ).
fof(f111,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f7,f9]) ).
fof(f112,plain,
! [X2,X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X0,join(X1,X2))),
inference(superposition,[],[f4,f9]) ).
fof(f117,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f118,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f8,f34]) ).
fof(f131,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f132,plain,
! [X2,X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(X0,meet(X1,X2))),
inference(superposition,[],[f5,f8]) ).
fof(f142,plain,
! [X0,X1] : ifeq(join(X0,X1),one,ifeq(meet(X1,X0),zero,complement(X1),X0),X0) = X0,
inference(superposition,[],[f12,f7]) ).
fof(f160,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[],[f9,f10]) ).
fof(f162,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f163,plain,
! [X0,X1] : one = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f9,f10]) ).
fof(f171,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f32,f162]) ).
fof(f173,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f6,f162]) ).
fof(f176,plain,
! [X0,X1] : one = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f160,f171]) ).
fof(f188,plain,
! [X0] : one = join(X0,one),
inference(superposition,[],[f34,f173]) ).
fof(f214,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f117,f6]) ).
fof(f217,plain,
! [X2,X0,X1] : meet(X0,join(X0,X1)) = meet(X0,join(X2,join(X0,X1))),
inference(superposition,[],[f117,f34]) ).
fof(f223,plain,
! [X2,X0,X1] : meet(join(X0,X2),X1) = join(meet(join(X0,X2),X1),meet(X0,X1)),
inference(superposition,[],[f32,f117]) ).
fof(f228,plain,
! [X2,X0,X1] : meet(join(X0,X2),X1) = join(meet(X0,X1),meet(join(X0,X2),X1)),
inference(forward_demodulation,[],[f223,f7]) ).
fof(f232,plain,
! [X2,X0,X1] : meet(X0,join(X2,join(X0,X1))) = X0,
inference(forward_demodulation,[],[f217,f4]) ).
fof(f244,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f5,f11]) ).
fof(f245,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f8,f11]) ).
fof(f246,plain,
! [X0,X1] : meet(X0,complement(join(X0,X1))) = meet(X0,zero),
inference(superposition,[],[f117,f11]) ).
fof(f256,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f7,f244]) ).
fof(f276,plain,
! [X0] : zero = meet(X0,zero),
inference(superposition,[],[f32,f256]) ).
fof(f279,plain,
! [X0,X1] : zero = meet(X0,complement(join(X0,X1))),
inference(backward_demodulation,[],[f246,f276]) ).
fof(f361,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X1,X2))) = meet(X1,join(X0,meet(X2,join(X1,meet(X0,join(X2,meet(X0,X1))))))),
inference(superposition,[],[f13,f6]) ).
fof(f366,plain,
! [X0,X1] : meet(X0,join(complement(X0),meet(X0,X1))) = meet(X0,join(complement(X0),meet(X1,join(X0,meet(complement(X0),join(X1,zero)))))),
inference(superposition,[],[f13,f11]) ).
fof(f379,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X1,meet(X2,join(X0,meet(X1,join(meet(X0,X1),X2)))))),
inference(superposition,[],[f13,f7]) ).
fof(f394,plain,
! [X2,X3,X0,X1] : meet(X3,join(join(X0,X1),meet(X3,X2))) = meet(X3,join(X0,join(X1,meet(X2,join(X3,meet(join(X0,X1),join(X2,meet(X3,join(X0,X1))))))))),
inference(superposition,[],[f13,f9]) ).
fof(f420,plain,
! [X2,X3,X0,X1] : meet(X3,join(X0,join(X1,meet(X2,join(X3,meet(join(X0,X1),join(X2,meet(X3,join(X0,X1))))))))) = meet(X3,join(X0,join(X1,meet(X3,X2)))),
inference(forward_demodulation,[],[f394,f9]) ).
fof(f436,plain,
! [X0,X1] : meet(X0,join(complement(X0),meet(X0,X1))) = meet(X0,join(complement(X0),meet(X1,join(X0,meet(complement(X0),X1))))),
inference(forward_demodulation,[],[f366,f244]) ).
fof(f582,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f96,f7]) ).
fof(f586,plain,
! [X0,X1] : join(X0,one) = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f96,f10]) ).
fof(f594,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(meet(X0,X2),X1),join(X0,X1)),
inference(superposition,[],[f34,f96]) ).
fof(f603,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(X0,X1),join(meet(X0,X2),X1)),
inference(forward_demodulation,[],[f594,f6]) ).
fof(f607,plain,
! [X0,X1] : one = join(X0,complement(meet(X0,X1))),
inference(forward_demodulation,[],[f586,f188]) ).
fof(f619,plain,
! [X0,X1] : one = join(X1,complement(meet(X0,X1))),
inference(superposition,[],[f607,f6]) ).
fof(f638,plain,
! [X2,X0,X1] : join(X0,join(complement(meet(X0,X1)),X2)) = join(one,X2),
inference(superposition,[],[f9,f607]) ).
fof(f652,plain,
! [X2,X0,X1] : one = join(X0,join(complement(meet(X0,X1)),X2)),
inference(forward_demodulation,[],[f638,f171]) ).
fof(f877,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = ifeq(join(X0,meet(X1,complement(meet(X0,X1)))),one,ifeq(zero,zero,complement(X0),meet(X1,complement(meet(X0,X1)))),meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f12,f245]) ).
fof(f900,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = ifeq(join(X0,meet(X1,complement(meet(X0,X1)))),one,complement(X0),meet(X1,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f877,f1]) ).
fof(f1070,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(join(X0,X1),join(X0,X2)),
inference(superposition,[],[f97,f4]) ).
fof(f1071,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(join(X1,X0),join(X0,X2)),
inference(superposition,[],[f97,f34]) ).
fof(f1089,plain,
! [X2,X0,X1] : join(X2,X0) = join(X2,join(X0,meet(X1,X2))),
inference(superposition,[],[f97,f7]) ).
fof(f1148,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X0,join(X2,join(X1,X0))),
inference(forward_demodulation,[],[f1071,f111]) ).
fof(f1149,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X2,join(X0,X1))),
inference(forward_demodulation,[],[f1070,f111]) ).
fof(f1163,plain,
! [X2,X0,X1] : join(X1,join(X0,X2)) = join(X0,join(X2,join(X1,X0))),
inference(forward_demodulation,[],[f1148,f9]) ).
fof(f1164,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,join(X0,X1))),
inference(forward_demodulation,[],[f1149,f9]) ).
fof(f1186,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(X2,meet(X0,join(X1,X2))),
inference(superposition,[],[f118,f6]) ).
fof(f2013,plain,
! [X2,X3,X0,X1] : meet(X1,meet(X3,X0)) = meet(X1,meet(X0,meet(join(X1,X2),X3))),
inference(superposition,[],[f117,f131]) ).
fof(f2218,plain,
! [X2,X3,X0,X1] : join(join(X0,X1),join(X3,X2)) = join(X3,join(X0,join(X1,X2))),
inference(superposition,[],[f111,f111]) ).
fof(f2303,plain,
! [X2,X3,X0,X1] : join(X1,join(X3,X0)) = join(X1,join(X0,join(meet(X1,X2),X3))),
inference(superposition,[],[f96,f111]) ).
fof(f2413,plain,
! [X2,X3,X0,X1] : join(X3,join(X0,join(X1,X2))) = join(X0,join(X1,join(X3,X2))),
inference(forward_demodulation,[],[f2218,f9]) ).
fof(f2530,plain,
! [X0,X1] : meet(X0,join(X1,meet(X0,complement(meet(X0,X1))))) = meet(X0,join(X1,meet(complement(meet(X0,X1)),join(X0,meet(X1,one))))),
inference(superposition,[],[f379,f10]) ).
fof(f2614,plain,
! [X0,X1] : meet(X0,join(X1,meet(X0,complement(meet(X0,X1))))) = meet(X0,join(X1,meet(complement(meet(X0,X1)),join(X0,X1)))),
inference(forward_demodulation,[],[f2530,f162]) ).
fof(f2673,plain,
! [X0,X1] : meet(X0,join(X1,meet(X0,complement(meet(X0,X1))))) = meet(X0,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f2614,f6]) ).
fof(f2739,plain,
! [X0,X1] : meet(X0,join(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1))))))) = meet(X0,join(complement(meet(X0,X1)),meet(one,complement(meet(X0,complement(meet(X0,X1))))))),
inference(superposition,[],[f2673,f607]) ).
fof(f2751,plain,
! [X0,X1] : meet(X1,join(X0,meet(X1,complement(meet(X0,X1))))) = meet(X1,join(X0,meet(join(X1,X0),complement(meet(X0,X1))))),
inference(superposition,[],[f2673,f6]) ).
fof(f2875,plain,
! [X0,X1] : meet(X0,join(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1))))))) = meet(X0,join(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f2739,f173]) ).
fof(f2919,plain,
! [X0,X1] : meet(X0,one) = meet(X0,join(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1))))))),
inference(forward_demodulation,[],[f2875,f619]) ).
fof(f2953,plain,
! [X0,X1] : meet(X0,join(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1))))))) = X0,
inference(forward_demodulation,[],[f2919,f162]) ).
fof(f3044,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),X3) = meet(X0,meet(meet(X1,join(X0,X2)),X3)),
inference(superposition,[],[f8,f214]) ).
fof(f3090,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),X3) = meet(X0,meet(X1,meet(join(X0,X2),X3))),
inference(forward_demodulation,[],[f3044,f8]) ).
fof(f3119,plain,
! [X3,X0,X1] : meet(meet(X0,X1),X3) = meet(X0,meet(X3,X1)),
inference(forward_demodulation,[],[f3090,f2013]) ).
fof(f3125,plain,
! [X3,X0,X1] : meet(X0,meet(X1,X3)) = meet(X0,meet(X3,X1)),
inference(forward_demodulation,[],[f3119,f8]) ).
fof(f3335,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),meet(X1,X2))) = meet(X1,join(meet(X0,X1),meet(X2,join(X1,meet(meet(X0,X1),join(meet(X0,X1),X2)))))),
inference(superposition,[],[f379,f94]) ).
fof(f3356,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),meet(X1,X2))) = meet(X1,join(meet(X0,X1),meet(X2,join(X1,meet(X0,X1))))),
inference(forward_demodulation,[],[f3335,f4]) ).
fof(f3400,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),meet(X1,X2))) = meet(X1,join(meet(X0,X1),meet(X2,X1))),
inference(forward_demodulation,[],[f3356,f32]) ).
fof(f3471,plain,
! [X0,X1] : meet(X0,join(complement(X0),meet(X0,join(X1,complement(X0))))) = meet(X0,join(complement(X0),meet(join(X1,complement(X0)),join(X0,complement(X0))))),
inference(superposition,[],[f436,f34]) ).
fof(f3492,plain,
! [X0,X1] : meet(complement(X0),join(X1,meet(complement(X0),X0))) = meet(complement(X0),join(X1,meet(X0,join(complement(X0),meet(X0,X1))))),
inference(superposition,[],[f13,f436]) ).
fof(f3497,plain,
! [X2,X0,X1] : meet(X0,join(join(complement(X0),meet(X1,join(X0,meet(complement(X0),X1)))),meet(X0,X2))) = meet(X0,join(join(complement(X0),meet(X1,join(X0,meet(complement(X0),X1)))),meet(X2,join(X0,meet(join(complement(X0),meet(X1,join(X0,meet(complement(X0),X1)))),join(X2,meet(X0,join(complement(X0),meet(X0,X1))))))))),
inference(superposition,[],[f13,f436]) ).
fof(f3536,plain,
! [X2,X0,X1] : meet(X0,join(join(complement(X0),meet(X1,join(X0,meet(complement(X0),X1)))),meet(X0,X2))) = meet(X0,join(complement(X0),join(meet(X1,join(X0,meet(complement(X0),X1))),meet(X2,join(X0,meet(join(complement(X0),meet(X1,join(X0,meet(complement(X0),X1)))),join(X2,meet(X0,join(complement(X0),meet(X0,X1)))))))))),
inference(forward_demodulation,[],[f3497,f9]) ).
fof(f3539,plain,
! [X0,X1] : meet(complement(X0),join(X1,meet(X0,complement(X0)))) = meet(complement(X0),join(X1,meet(X0,join(complement(X0),meet(X0,X1))))),
inference(forward_demodulation,[],[f3492,f6]) ).
fof(f3551,plain,
! [X0,X1] : meet(X0,join(complement(X0),meet(X0,join(X1,complement(X0))))) = meet(X0,join(complement(X0),meet(join(X1,complement(X0)),one))),
inference(forward_demodulation,[],[f3471,f10]) ).
fof(f3575,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),join(meet(X1,join(X0,meet(complement(X0),X1))),meet(X2,join(X0,meet(join(complement(X0),meet(X1,join(X0,meet(complement(X0),X1)))),join(X2,meet(X0,join(complement(X0),meet(X0,X1)))))))))) = meet(X0,join(complement(X0),join(meet(X1,join(X0,meet(complement(X0),X1))),meet(X0,X2)))),
inference(forward_demodulation,[],[f3536,f9]) ).
fof(f3578,plain,
! [X0,X1] : meet(complement(X0),join(X1,zero)) = meet(complement(X0),join(X1,meet(X0,join(complement(X0),meet(X0,X1))))),
inference(forward_demodulation,[],[f3539,f11]) ).
fof(f3586,plain,
! [X0,X1] : meet(X0,join(complement(X0),meet(X0,join(X1,complement(X0))))) = meet(X0,join(complement(X0),meet(one,join(X1,complement(X0))))),
inference(forward_demodulation,[],[f3551,f6]) ).
fof(f3593,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(complement(X0),join(X1,meet(X0,join(complement(X0),meet(X0,X1))))),
inference(forward_demodulation,[],[f3578,f244]) ).
fof(f3599,plain,
! [X0,X1] : meet(X0,join(complement(X0),meet(X0,join(X1,complement(X0))))) = meet(X0,join(complement(X0),join(X1,complement(X0)))),
inference(forward_demodulation,[],[f3586,f173]) ).
fof(f3604,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,join(complement(X0),meet(X0,join(X1,complement(X0))))),
inference(forward_demodulation,[],[f3599,f92]) ).
fof(f3669,plain,
! [X2,X3,X0,X1] : join(join(X0,X1),X3) = join(X0,join(join(X1,meet(X0,X2)),X3)),
inference(superposition,[],[f9,f582]) ).
fof(f3710,plain,
! [X2,X3,X0,X1] : join(join(X0,X1),X3) = join(X0,join(X1,join(meet(X0,X2),X3))),
inference(forward_demodulation,[],[f3669,f9]) ).
fof(f3741,plain,
! [X3,X0,X1] : join(join(X0,X1),X3) = join(X0,join(X3,X1)),
inference(forward_demodulation,[],[f3710,f2303]) ).
fof(f3747,plain,
! [X3,X0,X1] : join(X0,join(X1,X3)) = join(X0,join(X3,X1)),
inference(forward_demodulation,[],[f3741,f9]) ).
fof(f3909,plain,
! [X2,X0,X1] : meet(join(X1,X0),join(X0,meet(join(X1,X0),X2))) = meet(join(X1,X0),join(X0,meet(X2,join(join(X1,X0),meet(X0,join(X2,X0)))))),
inference(superposition,[],[f361,f34]) ).
fof(f4065,plain,
! [X2,X0,X1] : meet(join(X1,X0),join(X0,meet(join(X1,X0),X2))) = meet(join(X1,X0),join(X0,meet(X2,join(X1,join(X0,meet(X0,join(X2,X0))))))),
inference(forward_demodulation,[],[f3909,f9]) ).
fof(f4111,plain,
! [X2,X0,X1] : meet(join(X1,X0),join(X0,meet(join(X1,X0),X2))) = meet(join(X1,X0),join(X0,meet(X2,join(X1,X0)))),
inference(forward_demodulation,[],[f4065,f5]) ).
fof(f4798,plain,
! [X0,X1] : meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),complement(meet(X0,join(X1,meet(X0,complement(meet(X0,X1))))))))) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(join(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),X0),complement(meet(X0,join(X1,meet(X0,complement(meet(X0,X1))))))))),
inference(superposition,[],[f2751,f2673]) ).
fof(f4910,plain,
! [X0,X1] : meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),complement(meet(X0,join(X1,meet(X0,complement(meet(X0,X1))))))))) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(complement(meet(X0,join(X1,meet(X0,complement(meet(X0,X1)))))),join(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),X0)))),
inference(forward_demodulation,[],[f4798,f6]) ).
fof(f4986,plain,
! [X0,X1] : meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),complement(meet(X0,join(X1,meet(X0,complement(meet(X0,X1))))))))) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(complement(meet(X0,join(X1,meet(X0,complement(meet(X0,X1)))))),join(X0,join(X1,meet(join(X0,X1),complement(meet(X0,X1)))))))),
inference(forward_demodulation,[],[f4910,f7]) ).
fof(f5040,plain,
! [X0,X1] : meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),complement(meet(X0,join(X1,meet(X0,complement(meet(X0,X1))))))))) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(complement(meet(X0,join(X1,meet(X0,complement(meet(X0,X1)))))),join(X0,X1)))),
inference(forward_demodulation,[],[f4986,f107]) ).
fof(f5087,plain,
! [X0,X1] : meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),complement(meet(X0,join(X1,meet(X0,complement(meet(X0,X1))))))))) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(join(X0,X1),complement(meet(X0,join(X1,meet(X0,complement(meet(X0,X1))))))))),
inference(forward_demodulation,[],[f5040,f6]) ).
fof(f6080,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f132,f94]) ).
fof(f6227,plain,
! [X2,X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X1,join(X0,X2))),
inference(superposition,[],[f112,f7]) ).
fof(f6462,plain,
! [X2,X0,X1] : meet(join(X1,X2),X0) = join(meet(X0,X1),meet(join(X1,X2),X0)),
inference(superposition,[],[f228,f6]) ).
fof(f7028,plain,
! [X0,X1] : ifeq(one,one,ifeq(meet(join(X1,complement(join(X0,X1))),X0),zero,complement(join(X1,complement(join(X0,X1)))),X0),X0) = X0,
inference(superposition,[],[f142,f163]) ).
fof(f7033,plain,
! [X0] : ifeq(one,one,ifeq(meet(complement(X0),X0),zero,complement(complement(X0)),X0),X0) = X0,
inference(superposition,[],[f142,f10]) ).
fof(f7174,plain,
! [X0] : ifeq(meet(complement(X0),X0),zero,complement(complement(X0)),X0) = X0,
inference(forward_demodulation,[],[f7033,f1]) ).
fof(f7179,plain,
! [X0,X1] : ifeq(meet(join(X1,complement(join(X0,X1))),X0),zero,complement(join(X1,complement(join(X0,X1)))),X0) = X0,
inference(forward_demodulation,[],[f7028,f1]) ).
fof(f7230,plain,
! [X0] : ifeq(meet(X0,complement(X0)),zero,complement(complement(X0)),X0) = X0,
inference(forward_demodulation,[],[f7174,f6]) ).
fof(f7233,plain,
! [X0,X1] : ifeq(meet(X0,join(X1,complement(join(X0,X1)))),zero,complement(join(X1,complement(join(X0,X1)))),X0) = X0,
inference(forward_demodulation,[],[f7179,f6]) ).
fof(f7252,plain,
! [X0] : ifeq(zero,zero,complement(complement(X0)),X0) = X0,
inference(forward_demodulation,[],[f7230,f11]) ).
fof(f7259,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f7252,f1]) ).
fof(f8171,plain,
! [X2,X0,X1] : join(meet(X1,X2),X0) = meet(join(X0,X1),join(meet(X1,X2),X0)),
inference(superposition,[],[f603,f7]) ).
fof(f8172,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(X0,X2))),
inference(superposition,[],[f603,f5]) ).
fof(f9382,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = join(meet(X1,join(X2,X0)),meet(X0,X1)),
inference(superposition,[],[f32,f1186]) ).
fof(f9449,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = join(meet(X0,X1),meet(X1,join(X2,X0))),
inference(forward_demodulation,[],[f9382,f7]) ).
fof(f10164,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = meet(join(X1,meet(X2,X0)),join(X0,X1)),
inference(superposition,[],[f34,f1089]) ).
fof(f10233,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = meet(join(X0,X1),join(X1,meet(X2,X0))),
inference(forward_demodulation,[],[f10164,f6]) ).
fof(f11076,plain,
! [X0,X1] : meet(complement(meet(X0,complement(meet(X0,X1)))),join(X0,meet(complement(meet(X0,complement(meet(X0,X1)))),complement(meet(X0,X1))))) = meet(complement(meet(X0,complement(meet(X0,X1)))),join(X0,meet(complement(meet(X0,X1)),join(complement(meet(X0,complement(meet(X0,X1)))),X0)))),
inference(superposition,[],[f361,f2953]) ).
fof(f11081,plain,
! [X0,X1] : join(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))) = join(join(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),X0),
inference(superposition,[],[f32,f2953]) ).
fof(f11143,plain,
! [X0,X1] : join(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))) = join(X0,join(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1))))))),
inference(forward_demodulation,[],[f11081,f7]) ).
fof(f11147,plain,
! [X0,X1] : meet(complement(meet(X0,complement(meet(X0,X1)))),join(X0,meet(complement(meet(X0,complement(meet(X0,X1)))),complement(meet(X0,X1))))) = meet(complement(meet(X0,complement(meet(X0,X1)))),join(X0,meet(complement(meet(X0,X1)),join(X0,complement(meet(X0,complement(meet(X0,X1)))))))),
inference(forward_demodulation,[],[f11076,f7]) ).
fof(f11189,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = join(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f11143,f582]) ).
fof(f11192,plain,
! [X0,X1] : meet(complement(meet(X0,complement(meet(X0,X1)))),join(X0,meet(complement(meet(X0,complement(meet(X0,X1)))),complement(meet(X0,X1))))) = meet(complement(meet(X0,complement(meet(X0,X1)))),join(X0,meet(complement(meet(X0,X1)),one))),
inference(forward_demodulation,[],[f11147,f607]) ).
fof(f11229,plain,
! [X0,X1] : one = join(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f11189,f607]) ).
fof(f11231,plain,
! [X0,X1] : meet(complement(meet(X0,complement(meet(X0,X1)))),join(X0,meet(complement(meet(X0,complement(meet(X0,X1)))),complement(meet(X0,X1))))) = meet(complement(meet(X0,complement(meet(X0,X1)))),join(X0,meet(one,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f11192,f6]) ).
fof(f11267,plain,
! [X0,X1] : meet(complement(meet(X0,complement(meet(X0,X1)))),join(X0,meet(complement(meet(X0,complement(meet(X0,X1)))),complement(meet(X0,X1))))) = meet(complement(meet(X0,complement(meet(X0,X1)))),join(X0,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f11231,f173]) ).
fof(f11285,plain,
! [X0,X1] : meet(join(X0,complement(meet(X0,X1))),complement(meet(X0,complement(meet(X0,X1))))) = meet(complement(meet(X0,complement(meet(X0,X1)))),join(X0,meet(complement(meet(X0,complement(meet(X0,X1)))),complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f11267,f6]) ).
fof(f11296,plain,
! [X0,X1] : meet(join(X0,complement(meet(X0,X1))),complement(meet(X0,complement(meet(X0,X1))))) = meet(complement(meet(X0,complement(meet(X0,X1)))),join(X0,meet(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1))))))),
inference(forward_demodulation,[],[f11285,f6]) ).
fof(f11304,plain,
! [X0,X1] : meet(one,complement(meet(X0,complement(meet(X0,X1))))) = meet(complement(meet(X0,complement(meet(X0,X1)))),join(X0,meet(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1))))))),
inference(forward_demodulation,[],[f11296,f607]) ).
fof(f11310,plain,
! [X0,X1] : complement(meet(X0,complement(meet(X0,X1)))) = meet(complement(meet(X0,complement(meet(X0,X1)))),join(X0,meet(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1))))))),
inference(forward_demodulation,[],[f11304,f173]) ).
fof(f11400,plain,
! [X0,X1] : meet(X0,complement(meet(X0,complement(meet(X0,X1))))) = ifeq(one,one,ifeq(meet(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),zero,complement(complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(superposition,[],[f12,f11229]) ).
fof(f11449,plain,
! [X0,X1] : meet(X0,complement(meet(X0,complement(meet(X0,X1))))) = ifeq(meet(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),zero,complement(complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f11400,f1]) ).
fof(f11516,plain,
! [X0,X1] : meet(X0,complement(meet(X0,complement(meet(X0,X1))))) = ifeq(meet(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),zero,meet(X0,X1),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f11449,f7259]) ).
fof(f11546,plain,
! [X0,X1] : meet(X0,complement(meet(X0,complement(meet(X0,X1))))) = ifeq(meet(X0,meet(complement(meet(X0,complement(meet(X0,X1)))),complement(meet(X0,X1)))),zero,meet(X0,X1),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f11516,f131]) ).
fof(f11567,plain,
! [X0,X1] : meet(X0,complement(meet(X0,complement(meet(X0,X1))))) = ifeq(meet(X0,meet(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1)))))),zero,meet(X0,X1),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f11546,f3125]) ).
fof(f11585,plain,
! [X0,X1] : meet(X0,complement(meet(X0,complement(meet(X0,X1))))) = ifeq(zero,zero,meet(X0,X1),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f11567,f245]) ).
fof(f11597,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,complement(meet(X0,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f11585,f1]) ).
fof(f11867,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,complement(meet(X1,complement(meet(X0,X1))))),
inference(superposition,[],[f11597,f94]) ).
fof(f12682,plain,
! [X2,X0,X1] : meet(X2,join(X0,join(X1,complement(X2)))) = meet(X2,join(complement(X2),meet(X2,join(X0,join(X1,complement(X2)))))),
inference(superposition,[],[f3604,f9]) ).
fof(f13976,plain,
! [X0,X1] : meet(X1,join(X0,meet(complement(X0),X1))) = meet(X1,join(X0,meet(X1,complement(X0)))),
inference(superposition,[],[f361,f3593]) ).
fof(f15356,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),meet(X0,join(X1,join(X2,complement(X0)))))) = meet(X0,join(complement(X0),meet(join(X1,join(X2,complement(X0))),join(X0,complement(X0))))),
inference(superposition,[],[f436,f109]) ).
fof(f15369,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),meet(X0,join(X1,join(X2,complement(X0)))))) = meet(X0,join(complement(X0),meet(join(X1,join(X2,complement(X0))),one))),
inference(forward_demodulation,[],[f15356,f10]) ).
fof(f15422,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),meet(X0,join(X1,join(X2,complement(X0)))))) = meet(X0,join(complement(X0),meet(one,join(X1,join(X2,complement(X0)))))),
inference(forward_demodulation,[],[f15369,f6]) ).
fof(f15445,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),meet(X0,join(X1,join(X2,complement(X0)))))) = meet(X0,join(complement(X0),join(X1,join(X2,complement(X0))))),
inference(forward_demodulation,[],[f15422,f173]) ).
fof(f15456,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),meet(X0,join(X1,join(X2,complement(X0)))))) = meet(X0,join(X2,join(complement(X0),X1))),
inference(forward_demodulation,[],[f15445,f1163]) ).
fof(f15464,plain,
! [X2,X0,X1] : meet(X0,join(X1,join(X2,complement(X0)))) = meet(X0,join(X2,join(complement(X0),X1))),
inference(forward_demodulation,[],[f15456,f12682]) ).
fof(f17021,plain,
! [X2,X0,X1] : join(meet(join(X0,X1),X2),X1) = meet(join(X0,X1),join(meet(join(X0,X1),X2),X1)),
inference(superposition,[],[f8171,f92]) ).
fof(f17352,plain,
! [X2,X0,X1] : join(X1,meet(join(X0,X1),X2)) = meet(join(X0,X1),join(X1,meet(join(X0,X1),X2))),
inference(forward_demodulation,[],[f17021,f7]) ).
fof(f17421,plain,
! [X2,X0,X1] : join(X0,meet(join(X1,X0),X2)) = meet(join(X1,X0),join(X0,meet(X2,join(X1,X0)))),
inference(backward_demodulation,[],[f4111,f17352]) ).
fof(f17513,plain,
! [X2,X0,X1] : join(meet(X1,X0),meet(X0,X2)) = meet(X0,join(meet(X1,X0),meet(X2,X0))),
inference(superposition,[],[f17421,f32]) ).
fof(f17621,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X2,join(X1,X0)))) = meet(X1,join(X0,meet(join(X1,X0),X2))),
inference(superposition,[],[f117,f17421]) ).
fof(f17634,plain,
! [X2,X0,X1] : join(X0,meet(X2,join(X1,X0))) = join(join(X0,meet(X2,join(X1,X0))),join(X0,meet(join(X1,X0),X2))),
inference(superposition,[],[f32,f17421]) ).
fof(f17691,plain,
! [X2,X0,X1] : join(X0,meet(X2,join(X1,X0))) = join(meet(join(X1,X0),X2),join(join(X0,meet(X2,join(X1,X0))),X0)),
inference(forward_demodulation,[],[f17634,f111]) ).
fof(f17797,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(meet(X0,X1),meet(X1,X2))),
inference(backward_demodulation,[],[f3400,f17513]) ).
fof(f17818,plain,
! [X2,X0,X1] : join(X0,meet(X2,join(X1,X0))) = join(X0,join(meet(join(X1,X0),X2),join(X0,meet(X2,join(X1,X0))))),
inference(forward_demodulation,[],[f17691,f111]) ).
fof(f17909,plain,
! [X2,X0,X1] : join(X0,meet(X2,join(X1,X0))) = join(X0,join(X0,join(meet(join(X1,X0),X2),meet(X2,join(X1,X0))))),
inference(forward_demodulation,[],[f17818,f2413]) ).
fof(f17964,plain,
! [X2,X0,X1] : join(X0,meet(X2,join(X1,X0))) = join(X0,join(meet(join(X1,X0),X2),meet(X2,join(X1,X0)))),
inference(forward_demodulation,[],[f17909,f83]) ).
fof(f18008,plain,
! [X2,X0,X1] : join(X0,meet(join(X1,X0),X2)) = join(X0,meet(X2,join(X1,X0))),
inference(forward_demodulation,[],[f17964,f6080]) ).
fof(f24901,plain,
! [X2,X0,X1] : join(meet(X1,X0),meet(X0,X2)) = join(meet(X1,X0),meet(X2,X0)),
inference(superposition,[],[f18008,f32]) ).
fof(f26178,plain,
! [X2,X0,X1] : meet(X1,join(complement(meet(X1,complement(meet(X0,X1)))),meet(X1,X2))) = meet(X1,join(complement(meet(X1,complement(meet(X0,X1)))),meet(X2,join(X1,meet(complement(meet(X1,complement(meet(X0,X1)))),join(X2,meet(X0,X1))))))),
inference(superposition,[],[f13,f11867]) ).
fof(f27030,plain,
! [X0,X1] : join(X0,meet(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1)))))) = join(join(X0,meet(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1)))))),complement(meet(X0,complement(meet(X0,X1))))),
inference(superposition,[],[f32,f11310]) ).
fof(f27099,plain,
! [X0,X1] : join(X0,meet(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1)))))) = join(complement(meet(X0,complement(meet(X0,X1)))),join(X0,meet(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1))))))),
inference(forward_demodulation,[],[f27030,f7]) ).
fof(f27173,plain,
! [X0,X1] : join(X0,meet(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1)))))) = join(X0,join(meet(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1))))),complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f27099,f111]) ).
fof(f27228,plain,
! [X0,X1] : join(X0,meet(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1)))))) = join(X0,join(complement(meet(X0,complement(meet(X0,X1)))),meet(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1))))))),
inference(forward_demodulation,[],[f27173,f3747]) ).
fof(f27275,plain,
! [X0,X1] : one = join(X0,meet(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f27228,f652]) ).
fof(f27524,plain,
! [X0,X1] : meet(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1))))) = ifeq(one,one,complement(X0),meet(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1)))))),
inference(superposition,[],[f900,f27275]) ).
fof(f27646,plain,
! [X0,X1] : complement(X0) = meet(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f27524,f1]) ).
fof(f28035,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(meet(X0,X1)),complement(X0)),
inference(superposition,[],[f5,f27646]) ).
fof(f28041,plain,
! [X0,X1] : complement(X0) = meet(complement(meet(X0,X1)),complement(X0)),
inference(superposition,[],[f95,f27646]) ).
fof(f28042,plain,
! [X2,X0,X1] : join(complement(meet(X0,X1)),X2) = join(complement(meet(X0,X1)),join(complement(X0),X2)),
inference(superposition,[],[f96,f27646]) ).
fof(f28108,plain,
! [X2,X0,X1] : join(complement(meet(X0,X1)),X2) = join(complement(X0),join(X2,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f28042,f111]) ).
fof(f28109,plain,
! [X0,X1] : complement(X0) = meet(complement(X0),complement(meet(X0,X1))),
inference(forward_demodulation,[],[f28041,f6]) ).
fof(f28114,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(meet(X0,X1))),
inference(forward_demodulation,[],[f28035,f7]) ).
fof(f28371,plain,
! [X0,X1] : complement(X1) = meet(complement(X1),complement(meet(X0,X1))),
inference(superposition,[],[f28109,f11867]) ).
fof(f28429,plain,
! [X0,X1] : meet(X0,join(complement(X0),meet(X0,complement(meet(X0,X1))))) = meet(X0,join(complement(X0),meet(complement(meet(X0,X1)),join(X0,complement(X0))))),
inference(superposition,[],[f436,f28109]) ).
fof(f28518,plain,
! [X0,X1] : meet(X0,join(complement(X0),meet(X0,complement(meet(X0,X1))))) = meet(X0,join(complement(X0),meet(complement(meet(X0,X1)),one))),
inference(forward_demodulation,[],[f28429,f10]) ).
fof(f28559,plain,
! [X0,X1] : meet(X0,join(complement(X0),meet(X0,complement(meet(X0,X1))))) = meet(X0,join(complement(X0),meet(one,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f28518,f6]) ).
fof(f28578,plain,
! [X0,X1] : meet(X0,join(complement(X0),meet(X0,complement(meet(X0,X1))))) = meet(X0,join(complement(X0),complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f28559,f173]) ).
fof(f28583,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,join(complement(X0),meet(X0,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f28578,f28114]) ).
fof(f28594,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(X0,complement(meet(complement(X0),X1))),
inference(superposition,[],[f28114,f7259]) ).
fof(f28717,plain,
! [X2,X0,X1] : meet(complement(X0),X2) = meet(complement(X0),meet(X2,complement(meet(X0,X1)))),
inference(superposition,[],[f214,f28114]) ).
fof(f29062,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(join(X0,X1)),complement(X0)),
inference(superposition,[],[f28371,f4]) ).
fof(f29063,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f28371,f34]) ).
fof(f29288,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f29063,f6]) ).
fof(f29289,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[],[f29062,f6]) ).
fof(f29379,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = meet(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f29289,f7259]) ).
fof(f29475,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f5,f29289]) ).
fof(f29638,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f29475,f7259]) ).
fof(f29843,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f29638,f92]) ).
fof(f30382,plain,
! [X2,X0,X1] : join(complement(X1),X2) = join(complement(X1),join(X2,complement(join(X0,X1)))),
inference(superposition,[],[f582,f29288]) ).
fof(f30608,plain,
! [X2,X0,X1] : meet(X2,X0) = join(meet(X2,X0),meet(X2,complement(join(complement(X0),X1)))),
inference(superposition,[],[f132,f29379]) ).
fof(f30611,plain,
! [X2,X0,X1] : meet(join(X0,X2),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),meet(join(X0,X2),complement(join(complement(X0),X1)))),
inference(superposition,[],[f228,f29379]) ).
fof(f30696,plain,
! [X2,X0,X1] : complement(join(complement(X0),X1)) = meet(join(X0,X2),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f30611,f32]) ).
fof(f31144,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(X2,complement(meet(complement(X0),X1)))),
inference(superposition,[],[f214,f28594]) ).
fof(f31367,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(complement(X0),meet(X0,X1))),
inference(superposition,[],[f28583,f11597]) ).
fof(f31368,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(complement(X1),meet(X0,X1))),
inference(superposition,[],[f28583,f11867]) ).
fof(f31416,plain,
! [X0,X1] : meet(X0,join(join(complement(X0),meet(X0,complement(meet(X0,X1)))),meet(X0,complement(meet(X0,complement(meet(X0,X1))))))) = meet(X0,join(join(complement(X0),meet(X0,complement(meet(X0,X1)))),meet(join(X0,join(complement(X0),meet(X0,complement(meet(X0,X1))))),complement(meet(X0,complement(meet(X0,X1))))))),
inference(superposition,[],[f2673,f28583]) ).
fof(f31477,plain,
! [X0,X1] : meet(X0,join(join(complement(X0),meet(X0,complement(meet(X0,X1)))),meet(X0,complement(meet(X0,complement(meet(X0,X1))))))) = meet(X0,join(join(complement(X0),meet(X0,complement(meet(X0,X1)))),meet(complement(meet(X0,complement(meet(X0,X1)))),join(X0,join(complement(X0),meet(X0,complement(meet(X0,X1)))))))),
inference(forward_demodulation,[],[f31416,f17621]) ).
fof(f31515,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(complement(X0),meet(X1,join(X0,meet(complement(X0),X1))))),
inference(backward_demodulation,[],[f436,f31367]) ).
fof(f31522,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),join(meet(X1,join(X0,meet(complement(X0),X1))),meet(X0,X2)))) = meet(X0,join(complement(X0),join(meet(X1,join(X0,meet(complement(X0),X1))),meet(X2,join(X0,meet(join(complement(X0),meet(X1,join(X0,meet(complement(X0),X1)))),join(X2,meet(X0,X1)))))))),
inference(backward_demodulation,[],[f3575,f31367]) ).
fof(f31630,plain,
! [X0,X1] : meet(X0,join(join(complement(X0),meet(X0,complement(meet(X0,X1)))),meet(X0,complement(meet(X0,complement(meet(X0,X1))))))) = meet(X0,join(complement(X0),join(meet(X0,complement(meet(X0,X1))),meet(complement(meet(X0,complement(meet(X0,X1)))),join(X0,join(complement(X0),meet(X0,complement(meet(X0,X1))))))))),
inference(forward_demodulation,[],[f31477,f9]) ).
fof(f31708,plain,
! [X0,X1] : meet(X0,join(join(complement(X0),meet(X0,complement(meet(X0,X1)))),meet(X0,complement(meet(X0,complement(meet(X0,X1))))))) = meet(X0,join(complement(X0),join(meet(X0,complement(meet(X0,X1))),meet(complement(meet(X0,complement(meet(X0,X1)))),one)))),
inference(forward_demodulation,[],[f31630,f176]) ).
fof(f31744,plain,
! [X0,X1] : meet(X0,join(join(complement(X0),meet(X0,complement(meet(X0,X1)))),meet(X0,complement(meet(X0,complement(meet(X0,X1))))))) = meet(X0,join(complement(X0),join(meet(X0,complement(meet(X0,X1))),meet(one,complement(meet(X0,complement(meet(X0,X1)))))))),
inference(forward_demodulation,[],[f31708,f6]) ).
fof(f31766,plain,
! [X0,X1] : meet(X0,join(join(complement(X0),meet(X0,complement(meet(X0,X1)))),meet(X0,complement(meet(X0,complement(meet(X0,X1))))))) = meet(X0,join(complement(X0),join(meet(X0,complement(meet(X0,X1))),complement(meet(X0,complement(meet(X0,X1))))))),
inference(forward_demodulation,[],[f31744,f173]) ).
fof(f31775,plain,
! [X0,X1] : meet(X0,join(complement(meet(X0,complement(meet(X0,X1)))),meet(X0,complement(meet(X0,X1))))) = meet(X0,join(join(complement(X0),meet(X0,complement(meet(X0,X1)))),meet(X0,complement(meet(X0,complement(meet(X0,X1))))))),
inference(forward_demodulation,[],[f31766,f28108]) ).
fof(f31780,plain,
! [X0,X1] : meet(X0,join(complement(meet(X0,complement(meet(X0,X1)))),meet(X0,complement(meet(X0,X1))))) = meet(X0,join(meet(X0,complement(meet(X0,complement(meet(X0,X1))))),join(complement(X0),meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f31775,f7]) ).
fof(f31785,plain,
! [X0,X1] : meet(X0,join(complement(meet(X0,complement(meet(X0,X1)))),meet(X0,complement(meet(X0,X1))))) = meet(X0,join(meet(X0,complement(meet(X0,X1))),join(meet(X0,complement(meet(X0,complement(meet(X0,X1))))),complement(X0)))),
inference(forward_demodulation,[],[f31780,f15464]) ).
fof(f31790,plain,
! [X0,X1] : meet(X0,join(complement(meet(X0,complement(meet(X0,X1)))),meet(X0,complement(meet(X0,X1))))) = meet(X0,join(complement(X0),join(meet(X0,complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))))),
inference(forward_demodulation,[],[f31785,f111]) ).
fof(f31794,plain,
! [X0,X1] : meet(X0,join(complement(meet(X0,complement(meet(X0,X1)))),meet(X0,complement(meet(X0,X1))))) = meet(X0,join(complement(X0),join(meet(X0,complement(meet(X0,X1))),meet(X0,X1)))),
inference(forward_demodulation,[],[f31790,f11597]) ).
fof(f31797,plain,
! [X0,X1] : meet(X0,join(complement(meet(X0,complement(meet(X0,X1)))),meet(X0,complement(meet(X0,X1))))) = meet(X0,join(complement(X0),join(meet(X0,X1),meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f31794,f3747]) ).
fof(f31799,plain,
! [X0,X1] : meet(X0,join(meet(X0,complement(meet(X0,X1))),complement(meet(X0,complement(meet(X0,X1)))))) = meet(X0,join(complement(X0),join(meet(X0,X1),meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f31797,f7]) ).
fof(f31801,plain,
! [X0,X1] : meet(X0,one) = meet(X0,join(complement(X0),join(meet(X0,X1),meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f31799,f10]) ).
fof(f31803,plain,
! [X0,X1] : meet(X0,join(complement(X0),join(meet(X0,X1),meet(X0,complement(meet(X0,X1)))))) = X0,
inference(forward_demodulation,[],[f31801,f162]) ).
fof(f31850,plain,
! [X0,X1] : meet(X0,complement(join(complement(X0),X1))) = meet(X0,join(complement(X0),meet(complement(join(complement(X0),X1)),join(X0,zero)))),
inference(superposition,[],[f31515,f279]) ).
fof(f32028,plain,
! [X0,X1] : meet(X0,complement(join(complement(X0),X1))) = meet(X0,join(complement(X0),meet(join(X0,zero),complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f31850,f6]) ).
fof(f32111,plain,
! [X0,X1] : meet(X0,complement(join(complement(X0),X1))) = meet(X0,join(complement(X0),complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f32028,f30696]) ).
fof(f32228,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = meet(X0,join(complement(X0),complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f32111,f29379]) ).
fof(f32391,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),join(complement(complement(X0)),complement(join(X0,X1)))),
inference(superposition,[],[f31367,f29289]) ).
fof(f32468,plain,
! [X2,X0,X1] : meet(X0,join(join(complement(X0),meet(X0,X1)),meet(X0,X2))) = meet(X0,join(join(complement(X0),meet(X0,X1)),meet(X2,join(X0,meet(join(complement(X0),meet(X0,X1)),join(X2,meet(X0,X1))))))),
inference(superposition,[],[f13,f31367]) ).
fof(f32579,plain,
! [X2,X0,X1] : meet(X0,join(join(complement(X0),meet(X0,X1)),meet(X0,X2))) = meet(X0,join(complement(X0),join(meet(X0,X1),meet(X2,join(X0,meet(join(complement(X0),meet(X0,X1)),join(X2,meet(X0,X1)))))))),
inference(forward_demodulation,[],[f32468,f9]) ).
fof(f32636,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),join(X0,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f32391,f7259]) ).
fof(f32681,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),join(meet(X0,X1),meet(X2,join(X0,meet(join(complement(X0),meet(X0,X1)),join(X2,meet(X0,X1)))))))) = meet(X0,join(complement(X0),join(meet(X0,X1),meet(X0,X2)))),
inference(forward_demodulation,[],[f32579,f9]) ).
fof(f34157,plain,
! [X0,X1] : meet(join(X0,X1),join(complement(join(X0,X1)),X0)) = X0,
inference(superposition,[],[f31368,f4]) ).
fof(f34454,plain,
! [X0,X1] : meet(join(X0,X1),join(X0,complement(join(X0,X1)))) = X0,
inference(forward_demodulation,[],[f34157,f7]) ).
fof(f34717,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f118,f34454]) ).
fof(f34967,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f34717,f7]) ).
fof(f35286,plain,
! [X0,X1] : ifeq(meet(X0,X1),zero,complement(join(X1,complement(join(X0,X1)))),X0) = X0,
inference(backward_demodulation,[],[f7233,f34967]) ).
fof(f35510,plain,
! [X0,X1] : ifeq(meet(X0,X1),zero,complement(join(X0,complement(join(X1,X0)))),X1) = X1,
inference(superposition,[],[f35286,f6]) ).
fof(f39543,plain,
! [X2,X3,X0,X1] : join(X3,meet(X0,X1)) = join(meet(X0,X1),join(meet(X0,complement(join(complement(X1),X2))),X3)),
inference(superposition,[],[f111,f30608]) ).
fof(f40602,plain,
! [X2,X0,X1] : join(X2,X0) = join(X0,join(complement(join(X1,complement(X0))),X2)),
inference(superposition,[],[f111,f29843]) ).
fof(f40802,plain,
! [X2,X0,X1] : join(meet(X0,join(X1,meet(X0,complement(meet(X0,X1))))),meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),X2)) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(meet(X0,join(X1,meet(X0,complement(meet(X0,X1))))),meet(X2,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))))),
inference(superposition,[],[f17513,f2673]) ).
fof(f40915,plain,
! [X2,X0,X1] : join(meet(X2,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))),meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),X0)) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(meet(X2,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))),meet(X0,join(X1,meet(X0,complement(meet(X0,X1))))))),
inference(superposition,[],[f17513,f2673]) ).
fof(f41025,plain,
! [X2,X0,X1] : join(meet(X2,X1),meet(join(meet(X0,X1),meet(X2,X1)),X1)) = meet(join(meet(X0,X1),meet(X2,X1)),join(meet(X2,X1),join(meet(X0,X1),meet(X1,X2)))),
inference(superposition,[],[f17421,f17513]) ).
fof(f41064,plain,
! [X2,X3,X0,X1] : meet(join(join(meet(X0,X1),meet(X2,X1)),X3),X1) = join(join(meet(X0,X1),meet(X1,X2)),meet(join(join(meet(X0,X1),meet(X2,X1)),X3),X1)),
inference(superposition,[],[f6462,f17513]) ).
fof(f41131,plain,
! [X2,X3,X0,X1] : meet(join(join(meet(X0,X1),meet(X2,X1)),X3),X1) = join(meet(X0,X1),join(meet(X1,X2),meet(join(join(meet(X0,X1),meet(X2,X1)),X3),X1))),
inference(forward_demodulation,[],[f41064,f9]) ).
fof(f41163,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,X1)) = join(meet(X2,X1),meet(join(meet(X0,X1),meet(X2,X1)),X1)),
inference(forward_demodulation,[],[f41025,f6227]) ).
fof(f41267,plain,
! [X2,X0,X1] : join(meet(X2,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))),meet(X0,join(X1,meet(join(X0,X1),complement(meet(X0,X1)))))) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(meet(X2,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))),meet(X0,join(X1,meet(X0,complement(meet(X0,X1))))))),
inference(forward_demodulation,[],[f40915,f24901]) ).
fof(f41357,plain,
! [X2,X3,X0,X1] : meet(X1,join(join(meet(X0,X1),meet(X2,X1)),X3)) = join(meet(X0,X1),join(meet(X1,X2),meet(X1,join(join(meet(X0,X1),meet(X2,X1)),X3)))),
inference(forward_demodulation,[],[f41131,f6]) ).
fof(f41380,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,X1)) = join(meet(X2,X1),meet(X1,join(meet(X0,X1),meet(X2,X1)))),
inference(forward_demodulation,[],[f41163,f18008]) ).
fof(f41472,plain,
! [X2,X0,X1] : join(meet(X2,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))),meet(X0,join(X1,meet(X0,complement(meet(X0,X1)))))) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(meet(X2,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))),meet(X0,join(X1,meet(X0,complement(meet(X0,X1))))))),
inference(forward_demodulation,[],[f41267,f2673]) ).
fof(f41536,plain,
! [X2,X3,X0,X1] : meet(X1,join(meet(X0,X1),join(meet(X2,X1),X3))) = join(meet(X0,X1),join(meet(X1,X2),meet(X1,join(meet(X0,X1),join(meet(X2,X1),X3))))),
inference(forward_demodulation,[],[f41357,f9]) ).
fof(f41550,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,X1)) = join(meet(X2,X1),join(meet(X0,X1),meet(X1,X2))),
inference(forward_demodulation,[],[f41380,f17513]) ).
fof(f42942,plain,
! [X2,X3,X0,X1] : meet(X1,join(X0,join(complement(join(X2,complement(X0))),meet(X1,X3)))) = meet(X1,join(X0,join(complement(join(X2,complement(X0))),meet(X3,join(X1,meet(X0,join(X3,meet(X1,X0)))))))),
inference(superposition,[],[f420,f29843]) ).
fof(f42946,plain,
! [X2,X3,X0,X1,X4] : meet(X2,join(meet(X0,X1),join(meet(X0,complement(join(complement(X1),X3))),meet(X2,X4)))) = meet(X2,join(meet(X0,X1),join(meet(X0,complement(join(complement(X1),X3))),meet(X4,join(X2,meet(meet(X0,X1),join(X4,meet(X2,meet(X0,X1))))))))),
inference(superposition,[],[f420,f30608]) ).
fof(f43396,plain,
! [X2,X3,X0,X1,X4] : meet(X2,join(meet(X0,X1),join(meet(X0,complement(join(complement(X1),X3))),meet(X2,X4)))) = meet(X2,join(meet(X4,join(X2,meet(meet(X0,X1),join(X4,meet(X2,meet(X0,X1)))))),meet(X0,X1))),
inference(forward_demodulation,[],[f42946,f39543]) ).
fof(f43400,plain,
! [X2,X3,X0,X1] : meet(X1,join(X0,join(complement(join(X2,complement(X0))),meet(X1,X3)))) = meet(X1,join(meet(X3,join(X1,meet(X0,join(X3,meet(X1,X0))))),X0)),
inference(forward_demodulation,[],[f42942,f40602]) ).
fof(f43551,plain,
! [X2,X3,X0,X1,X4] : meet(X2,join(meet(X0,X1),join(meet(X0,complement(join(complement(X1),X3))),meet(X2,X4)))) = meet(X2,join(meet(X0,X1),meet(X4,join(X2,meet(meet(X0,X1),join(X4,meet(X2,meet(X0,X1)))))))),
inference(forward_demodulation,[],[f43396,f7]) ).
fof(f43554,plain,
! [X2,X3,X0,X1] : meet(X1,join(X0,join(complement(join(X2,complement(X0))),meet(X1,X3)))) = meet(X1,join(X0,meet(X3,join(X1,meet(X0,join(X3,meet(X1,X0))))))),
inference(forward_demodulation,[],[f43400,f7]) ).
fof(f43653,plain,
! [X2,X3,X0,X1,X4] : meet(X2,join(meet(X0,X1),join(meet(X0,complement(join(complement(X1),X3))),meet(X2,X4)))) = meet(X2,join(meet(X0,X1),meet(X2,X4))),
inference(forward_demodulation,[],[f43551,f13]) ).
fof(f43654,plain,
! [X2,X3,X0,X1] : meet(X1,join(X0,meet(X1,X3))) = meet(X1,join(X0,join(complement(join(X2,complement(X0))),meet(X1,X3)))),
inference(forward_demodulation,[],[f43554,f13]) ).
fof(f43728,plain,
! [X2,X0,X1,X4] : meet(X2,join(meet(X0,X1),meet(X2,X4))) = meet(X2,join(meet(X2,X4),meet(X0,X1))),
inference(forward_demodulation,[],[f43653,f39543]) ).
fof(f43729,plain,
! [X3,X0,X1] : meet(X1,join(X0,meet(X1,X3))) = meet(X1,join(meet(X1,X3),X0)),
inference(forward_demodulation,[],[f43654,f40602]) ).
fof(f50464,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = ifeq(zero,zero,complement(join(X0,complement(join(meet(X1,complement(meet(X0,X1))),X0)))),meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f35510,f245]) ).
fof(f50892,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = complement(join(X0,complement(join(meet(X1,complement(meet(X0,X1))),X0)))),
inference(forward_demodulation,[],[f50464,f1]) ).
fof(f51070,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = complement(join(X0,complement(join(X0,meet(X1,complement(meet(X0,X1))))))),
inference(forward_demodulation,[],[f50892,f7]) ).
fof(f57709,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(complement(X0),join(meet(X0,X1),meet(X0,X2)))),
inference(superposition,[],[f31367,f8172]) ).
fof(f57790,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(complement(X0),join(meet(X0,X1),meet(X2,join(X0,meet(join(complement(X0),meet(X0,X1)),join(X2,meet(X0,X1)))))))),
inference(backward_demodulation,[],[f32681,f57709]) ).
fof(f57794,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X0,X1)))) = X0,
inference(backward_demodulation,[],[f31803,f57709]) ).
fof(f58277,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(join(X0,X1),complement(X0))),
inference(superposition,[],[f57794,f34454]) ).
fof(f58364,plain,
! [X0,X1] : join(X1,X0) = join(X1,meet(X0,complement(meet(X0,X1)))),
inference(superposition,[],[f97,f57794]) ).
fof(f58481,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = meet(X0,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))),
inference(backward_demodulation,[],[f2673,f58364]) ).
fof(f58505,plain,
! [X0,X1] : meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),complement(meet(X0,join(X1,X0)))))) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(join(X0,X1),complement(meet(X0,join(X1,X0)))))),
inference(backward_demodulation,[],[f5087,f58364]) ).
fof(f58553,plain,
! [X2,X0,X1] : join(meet(X0,join(X1,X0)),meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),X2)) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(meet(X0,join(X1,X0)),meet(X2,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))))),
inference(backward_demodulation,[],[f40802,f58364]) ).
fof(f58556,plain,
! [X2,X0,X1] : join(meet(X2,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))),meet(X0,join(X1,X0))) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(meet(X2,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))),meet(X0,join(X1,X0)))),
inference(backward_demodulation,[],[f41472,f58364]) ).
fof(f58718,plain,
! [X2,X0,X1] : join(meet(X0,join(X1,X0)),meet(X2,join(X1,meet(join(X0,X1),complement(meet(X0,X1)))))) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(meet(X0,join(X1,X0)),meet(X2,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))))),
inference(forward_demodulation,[],[f58556,f7]) ).
fof(f58721,plain,
! [X2,X0,X1] : join(X0,meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),X2)) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(X2,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))))),
inference(forward_demodulation,[],[f58553,f34]) ).
fof(f58768,plain,
! [X0,X1] : meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),complement(X0)))) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(join(X0,X1),complement(X0)))),
inference(forward_demodulation,[],[f58505,f34]) ).
fof(f58792,plain,
! [X0,X1] : meet(X0,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))) = X0,
inference(forward_demodulation,[],[f58481,f34]) ).
fof(f58847,plain,
! [X2,X0,X1] : join(X0,meet(X2,join(X1,meet(join(X0,X1),complement(meet(X0,X1)))))) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(X2,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))))),
inference(forward_demodulation,[],[f58718,f34]) ).
fof(f58877,plain,
! [X0,X1] : meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),complement(X0)))) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,X1)),
inference(forward_demodulation,[],[f58768,f58277]) ).
fof(f58918,plain,
! [X2,X0,X1] : join(X0,meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),X2)) = join(X0,meet(X2,join(X1,meet(join(X0,X1),complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f58847,f58721]) ).
fof(f58941,plain,
! [X0,X1] : meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),complement(X0)))) = meet(join(X0,X1),join(X1,meet(join(X0,X1),complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f58877,f6]) ).
fof(f59002,plain,
! [X0,X1] : join(X1,meet(join(X0,X1),complement(meet(X0,X1)))) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),complement(X0)))),
inference(forward_demodulation,[],[f58941,f17352]) ).
fof(f59035,plain,
! [X0,X1] : join(X1,meet(join(X0,X1),complement(meet(X0,X1)))) = meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),join(X0,meet(complement(X0),join(X1,meet(join(X0,X1),complement(meet(X0,X1))))))),
inference(forward_demodulation,[],[f59002,f13976]) ).
fof(f59056,plain,
! [X0,X1] : join(X1,meet(join(X0,X1),complement(meet(X0,X1)))) = join(X0,meet(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),complement(X0))),
inference(forward_demodulation,[],[f59035,f58721]) ).
fof(f59067,plain,
! [X0,X1] : join(X1,meet(join(X0,X1),complement(meet(X0,X1)))) = join(X0,meet(complement(X0),join(X1,meet(join(X0,X1),complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f59056,f58918]) ).
fof(f59334,plain,
! [X0,X1] : join(X1,meet(join(X0,X1),complement(meet(X0,X1)))) = join(join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),X0),
inference(superposition,[],[f32,f58792]) ).
fof(f59514,plain,
! [X0,X1] : join(X1,meet(join(X0,X1),complement(meet(X0,X1)))) = join(X0,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f59334,f7]) ).
fof(f59772,plain,
! [X0,X1] : join(X0,X1) = join(X1,meet(join(X0,X1),complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f59514,f107]) ).
fof(f60078,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(complement(X0),join(X0,X1))),
inference(backward_demodulation,[],[f59067,f59772]) ).
fof(f60607,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(X0,join(complement(X0),X1))),
inference(superposition,[],[f60078,f7259]) ).
fof(f60811,plain,
! [X2,X0,X1] : join(X1,join(meet(X0,X1),X2)) = join(X1,meet(complement(meet(X0,X1)),join(meet(X0,X1),X2))),
inference(superposition,[],[f97,f60078]) ).
fof(f60848,plain,
! [X2,X0,X1] : join(X1,X2) = join(X1,meet(complement(meet(X0,X1)),join(meet(X0,X1),X2))),
inference(forward_demodulation,[],[f60811,f97]) ).
fof(f62154,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f58364,f6]) ).
fof(f62597,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = complement(join(X0,complement(join(X0,X1)))),
inference(backward_demodulation,[],[f51070,f62154]) ).
fof(f65634,plain,
! [X0,X1] : complement(complement(join(X0,complement(join(X0,X1))))) = join(complement(X1),complement(complement(join(X0,complement(join(X0,X1)))))),
inference(superposition,[],[f28114,f62597]) ).
fof(f65688,plain,
! [X0,X1] : meet(X0,complement(meet(X1,X0))) = meet(complement(X1),meet(X0,complement(meet(X1,X0)))),
inference(superposition,[],[f29289,f62597]) ).
fof(f65691,plain,
! [X0,X1] : meet(X0,complement(meet(X1,X0))) = meet(complement(X1),join(X1,meet(X0,complement(meet(X1,X0))))),
inference(superposition,[],[f32636,f62597]) ).
fof(f65703,plain,
! [X0,X1] : meet(X0,complement(meet(complement(X1),X0))) = meet(X1,join(complement(X1),meet(X0,complement(meet(complement(X1),X0))))),
inference(superposition,[],[f32228,f62597]) ).
fof(f65704,plain,
! [X0,X1] : meet(X0,complement(meet(complement(X1),X0))) = meet(X1,meet(X0,complement(meet(complement(X1),X0)))),
inference(superposition,[],[f29379,f62597]) ).
fof(f65721,plain,
! [X0,X1] : join(X1,complement(join(X1,X0))) = complement(meet(X0,complement(meet(X1,X0)))),
inference(superposition,[],[f7259,f62597]) ).
fof(f65793,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,complement(meet(complement(X1),X0))),
inference(forward_demodulation,[],[f65704,f31144]) ).
fof(f65794,plain,
! [X0,X1] : meet(X1,join(complement(X1),X0)) = meet(X0,complement(meet(complement(X1),X0))),
inference(forward_demodulation,[],[f65703,f62154]) ).
fof(f65803,plain,
! [X0,X1] : meet(X0,complement(meet(X1,X0))) = meet(complement(X1),join(X1,X0)),
inference(forward_demodulation,[],[f65691,f62154]) ).
fof(f65805,plain,
! [X0,X1] : meet(X0,complement(meet(X1,X0))) = meet(complement(X1),X0),
inference(forward_demodulation,[],[f65688,f28717]) ).
fof(f65842,plain,
! [X0,X1] : join(X0,complement(join(X0,X1))) = join(complement(X1),join(X0,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f65634,f7259]) ).
fof(f66101,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,join(complement(X1),X0)),
inference(forward_demodulation,[],[f65794,f65793]) ).
fof(f66119,plain,
! [X2,X0,X1] : meet(X1,join(complement(meet(complement(X0),X1)),meet(X1,X2))) = meet(X1,join(complement(meet(complement(X0),X1)),meet(X2,join(X1,meet(complement(meet(complement(X0),X1)),join(X2,meet(X0,X1))))))),
inference(backward_demodulation,[],[f26178,f65805]) ).
fof(f66146,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(complement(X0),X1)),
inference(backward_demodulation,[],[f62154,f65805]) ).
fof(f66169,plain,
! [X0,X1] : join(X1,complement(join(X1,X0))) = complement(meet(complement(X1),X0)),
inference(backward_demodulation,[],[f65721,f65805]) ).
fof(f66198,plain,
! [X0,X1] : meet(complement(X1),X0) = meet(complement(X1),join(X1,X0)),
inference(backward_demodulation,[],[f65803,f65805]) ).
fof(f66308,plain,
! [X0,X1] : join(X0,complement(join(X0,X1))) = join(complement(X1),X0),
inference(forward_demodulation,[],[f65842,f30382]) ).
fof(f66725,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(X0,X1)),
inference(backward_demodulation,[],[f60607,f66101]) ).
fof(f66768,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),join(meet(X1,join(X0,meet(complement(X0),X1))),meet(X2,join(X0,meet(join(complement(X0),meet(X1,join(X0,meet(complement(X0),X1)))),join(X2,meet(X0,X1)))))))) = meet(X0,join(meet(X1,join(X0,meet(complement(X0),X1))),meet(X0,X2))),
inference(backward_demodulation,[],[f31522,f66101]) ).
fof(f66779,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(X2,join(X0,meet(join(complement(X0),meet(X0,X1)),join(X2,meet(X0,X1))))))),
inference(backward_demodulation,[],[f57790,f66101]) ).
fof(f66961,plain,
! [X2,X0,X1] : join(X1,X2) = join(X1,meet(complement(meet(X0,X1)),X2)),
inference(backward_demodulation,[],[f60848,f66198]) ).
fof(f67644,plain,
! [X0,X1] : join(complement(X1),X0) = complement(meet(complement(X0),X1)),
inference(forward_demodulation,[],[f66308,f66169]) ).
fof(f68182,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),join(meet(X1,join(X0,X1)),meet(X2,join(X0,meet(join(complement(X0),meet(X1,join(X0,X1))),join(X2,meet(X0,X1)))))))) = meet(X0,join(meet(X1,join(X0,X1)),meet(X0,X2))),
inference(forward_demodulation,[],[f66768,f66146]) ).
fof(f68219,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(X2,join(X0,meet(join(complement(X0),X1),join(X2,meet(X0,X1))))))),
inference(backward_demodulation,[],[f66779,f66725]) ).
fof(f68508,plain,
! [X2,X0,X1] : meet(X1,join(complement(meet(complement(X0),X1)),meet(X1,X2))) = meet(X1,join(complement(meet(complement(X0),X1)),meet(X2,join(X1,join(X2,meet(X0,X1)))))),
inference(backward_demodulation,[],[f66119,f66961]) ).
fof(f69490,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(complement(X0),join(X1,meet(X2,join(X0,meet(join(complement(X0),X1),join(X2,meet(X0,X1)))))))),
inference(forward_demodulation,[],[f68182,f34]) ).
fof(f70006,plain,
! [X2,X0,X1] : meet(X1,join(complement(meet(complement(X0),X1)),meet(X1,X2))) = meet(X1,join(complement(meet(complement(X0),X1)),X2)),
inference(forward_demodulation,[],[f68508,f232]) ).
fof(f70760,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X1,meet(X2,join(X0,meet(join(complement(X0),X1),join(X2,meet(X0,X1))))))),
inference(forward_demodulation,[],[f69490,f66101]) ).
fof(f71019,plain,
! [X2,X0,X1] : meet(X1,join(join(complement(X1),X0),X2)) = meet(X1,join(join(complement(X1),X0),meet(X1,X2))),
inference(forward_demodulation,[],[f70006,f67644]) ).
fof(f71720,plain,
! [X2,X0,X1] : meet(X1,join(join(complement(X1),X0),X2)) = meet(X1,join(complement(X1),join(X0,meet(X1,X2)))),
inference(forward_demodulation,[],[f71019,f9]) ).
fof(f72254,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X1,X2))) = meet(X1,join(join(complement(X1),X0),X2)),
inference(forward_demodulation,[],[f71720,f66101]) ).
fof(f72551,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X1,X2))) = meet(X1,join(complement(X1),join(X0,X2))),
inference(forward_demodulation,[],[f72254,f9]) ).
fof(f72680,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = meet(X1,join(X0,meet(X1,X2))),
inference(forward_demodulation,[],[f72551,f66101]) ).
fof(f72997,plain,
! [X3,X0,X1] : meet(X1,join(X0,X3)) = meet(X1,join(meet(X1,X3),X0)),
inference(backward_demodulation,[],[f43729,f72680]) ).
fof(f73026,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(X2,join(X0,meet(join(complement(X0),X1),join(X2,meet(X0,X1))))))),
inference(backward_demodulation,[],[f70760,f72680]) ).
fof(f73099,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),X2)) = join(meet(X0,X1),meet(X1,X2)),
inference(backward_demodulation,[],[f17797,f72680]) ).
fof(f73100,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(backward_demodulation,[],[f8172,f72680]) ).
fof(f73109,plain,
! [X2,X0,X1,X4] : meet(X2,join(meet(X2,X4),meet(X0,X1))) = meet(X2,join(meet(X0,X1),X4)),
inference(backward_demodulation,[],[f43728,f72680]) ).
fof(f73251,plain,
! [X2,X0,X1] : join(X1,meet(join(X0,X1),X2)) = meet(join(X0,X1),join(X1,X2)),
inference(backward_demodulation,[],[f17352,f72680]) ).
fof(f74166,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = join(X1,meet(join(X0,X1),meet(X2,X0))),
inference(backward_demodulation,[],[f10233,f73251]) ).
fof(f74485,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X2,join(X0,meet(join(complement(X0),X1),join(X2,meet(X0,X1))))),X1)),
inference(backward_demodulation,[],[f68219,f73109]) ).
fof(f74692,plain,
! [X2,X0,X1] : join(meet(X1,X0),meet(X0,X2)) = join(meet(X1,X0),meet(X0,meet(X2,X0))),
inference(backward_demodulation,[],[f17513,f73099]) ).
fof(f74702,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X1,join(meet(X2,X1),X3))) = join(meet(X0,X1),join(meet(X1,X2),join(meet(X0,X1),meet(X1,join(meet(X2,X1),X3))))),
inference(backward_demodulation,[],[f41536,f73099]) ).
fof(f74781,plain,
! [X3,X0,X1] : meet(X1,join(X0,X3)) = join(meet(X1,X3),meet(X1,X0)),
inference(forward_demodulation,[],[f72997,f73100]) ).
fof(f75534,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = join(X1,meet(X0,meet(join(X0,X1),X2))),
inference(forward_demodulation,[],[f74166,f131]) ).
fof(f75790,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(X1,meet(X2,join(X0,meet(join(complement(X0),X1),join(X2,meet(X0,X1))))))),
inference(forward_demodulation,[],[f74485,f7]) ).
fof(f75953,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X1,join(meet(X2,X1),X3))) = join(meet(X0,X1),join(meet(X1,join(meet(X2,X1),X3)),meet(X1,X2))),
inference(forward_demodulation,[],[f74702,f1164]) ).
fof(f75960,plain,
! [X2,X0,X1] : join(meet(X1,X0),meet(X0,X2)) = join(meet(X1,X0),meet(X2,X0)),
inference(forward_demodulation,[],[f74692,f94]) ).
fof(f76506,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = join(X1,meet(X2,X0)),
inference(forward_demodulation,[],[f75534,f117]) ).
fof(f76664,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(forward_demodulation,[],[f75790,f73026]) ).
fof(f76849,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X1,join(meet(X2,X1),X3))) = join(meet(X0,X1),join(meet(X1,X2),meet(X1,join(meet(X2,X1),X3)))),
inference(forward_demodulation,[],[f75953,f3747]) ).
fof(f77502,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[],[f76664,f74781]) ).
fof(f77713,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X1,join(meet(X2,X1),X3))) = join(meet(X0,X1),meet(X1,join(join(meet(X2,X1),X3),X2))),
inference(forward_demodulation,[],[f76849,f74781]) ).
fof(f78433,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X1,join(meet(X2,X1),X3))) = join(meet(X0,X1),meet(X1,join(X2,join(meet(X2,X1),X3)))),
inference(forward_demodulation,[],[f77713,f77502]) ).
fof(f78885,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X1,join(X2,X3))) = join(meet(X0,X1),meet(X1,join(meet(X2,X1),X3))),
inference(forward_demodulation,[],[f78433,f96]) ).
fof(f79169,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X1,join(X2,X3))) = join(meet(X0,X1),join(meet(X2,X1),meet(X1,X3))),
inference(forward_demodulation,[],[f78885,f73099]) ).
fof(f79333,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,X1)) = join(meet(X2,X1),meet(X1,join(X0,X2))),
inference(backward_demodulation,[],[f41550,f79169]) ).
fof(f79434,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = join(meet(X0,X1),meet(X2,X1)),
inference(forward_demodulation,[],[f79333,f9449]) ).
fof(f79525,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X1,X0),meet(X0,X2)),
inference(backward_demodulation,[],[f75960,f79434]) ).
fof(f97051,plain,
( ! [X0] : meet(a,join(b,X0)) = join(sF2,meet(a,X0))
| ~ spl5_4 ),
inference(superposition,[],[f79525,f57]) ).
fof(f98139,plain,
( meet(a,sF0) = join(sF2,meet(a,c))
| ~ spl5_3
| ~ spl5_4 ),
inference(superposition,[],[f97051,f50]) ).
fof(f98298,plain,
( meet(a,sF0) = join(sF2,meet(c,a))
| ~ spl5_3
| ~ spl5_4 ),
inference(forward_demodulation,[],[f98139,f76506]) ).
fof(f98349,plain,
( meet(a,sF0) = join(sF2,sF3)
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4 ),
inference(forward_demodulation,[],[f98298,f43]) ).
fof(f98383,plain,
( meet(a,sF0) = sF4
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_6 ),
inference(forward_demodulation,[],[f98349,f70]) ).
fof(f98416,plain,
( sF4 = meet(sF0,a)
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_6 ),
inference(forward_demodulation,[],[f98383,f6]) ).
fof(f98425,plain,
( sF1 = sF4
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_6 ),
inference(forward_demodulation,[],[f98416,f64]) ).
fof(f98432,plain,
( $false
| spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_6 ),
inference(forward_subsumption_resolution,[],[f98425,f38]) ).
fof(f98433,plain,
( spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f98432]) ).
cnf(s1,plain,
~ spl5_1,
inference(sat_conversion,[],[f39]) ).
cnf(s2,plain,
spl5_2,
inference(sat_conversion,[],[f44]) ).
cnf(s3,plain,
spl5_3,
inference(sat_conversion,[],[f51]) ).
cnf(s4,plain,
spl5_4,
inference(sat_conversion,[],[f58]) ).
cnf(s5,plain,
spl5_5,
inference(sat_conversion,[],[f65]) ).
cnf(s6,plain,
spl5_6,
inference(sat_conversion,[],[f71]) ).
cnf(s58,plain,
( spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| ~ spl5_6 ),
inference(sat_conversion,[],[f98433]) ).
cnf(s86,plain,
spl5_1,
inference(rat,[],[s58,s6,s5,s4,s3,s2]) ).
cnf(s109,plain,
$false,
inference(rat,[],[s1,s86]) ).
fof(f98437,plain,
$false,
inference(avatar_sat_refutation,[],[s109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT186-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 14:05:16 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 62.12/9.67 % (843816)Detected a unit-equality problem, will run specialized UEQ schedule.
% 62.12/9.67 % (843863)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=2484161325:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 62.12/9.67 % (843866)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=526602984:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 62.12/9.67 % (843869)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=401378162:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 62.12/9.67 % (843867)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3910285539:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 62.12/9.67 % (843868)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2891870398:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 62.12/9.67 % (843864)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=1666643120:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 62.12/9.67 % (843865)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=807193019:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 62.12/9.67 % (843866)Instruction limit reached!
% 62.12/9.67 % (843866)------------------------------
% 62.12/9.67 % (843866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.12/9.67 % (843866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.12/9.67 % (843866)CaDiCaL version: 2.1.3
% 62.12/9.67 % (843866)Termination reason: Instruction limit
% 62.12/9.67 % (843866)Termination phase: Saturation
% 62.12/9.67 % (843866)Time elapsed: 0.141 s
% 62.12/9.67 % (843866)Peak memory usage: 89 MB
% 62.12/9.67 % (843866)Instructions burned: 136 (million)
% 62.12/9.67 % (843867)Instruction limit reached!
% 62.12/9.67 % (843867)------------------------------
% 62.12/9.67 % (843867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.12/9.67 % (843867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.12/9.67 % (843867)CaDiCaL version: 2.1.3
% 62.12/9.67 % (843867)Termination reason: Instruction limit
% 62.12/9.67 % (843867)Termination phase: Saturation
% 62.12/9.67 % (843867)Time elapsed: 0.178 s
% 62.12/9.67 % (843867)Peak memory usage: 89 MB
% 62.12/9.67 % (843867)Instructions burned: 182 (million)
% 62.12/9.67 % (843868)Instruction limit reached!
% 62.12/9.67 % (843868)------------------------------
% 62.12/9.67 % (843868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.12/9.67 % (843868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.12/9.67 % (843868)CaDiCaL version: 2.1.3
% 62.12/9.67 % (843868)Termination reason: Instruction limit
% 62.12/9.67 % (843868)Termination phase: Saturation
% 62.12/9.67 % (843868)Time elapsed: 0.263 s
% 62.12/9.67 % (843868)Peak memory usage: 90 MB
% 62.12/9.67 % (843868)Instructions burned: 257 (million)
% 62.12/9.67 % (843882)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3720532035:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 62.12/9.67 % (843885)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2929626431:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 62.12/9.67 % (843886)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=453746430:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 62.12/9.67 % (843886)Instruction limit reached!
% 62.12/9.67 % (843886)------------------------------
% 62.12/9.67 % (843886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.12/9.67 % (843886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.12/9.67 % (843886)CaDiCaL version: 2.1.3
% 62.12/9.67 % (843886)Termination reason: Instruction limit
% 62.12/9.67 % (843886)Termination phase: Saturation
% 62.12/9.67 % (843886)Time elapsed: 0.189 s
% 62.12/9.67 % (843886)Peak memory usage: 90 MB
% 62.12/9.67 % (843886)Instructions burned: 215 (million)
% 62.12/9.67 % (843869)Instruction limit reached!
% 62.12/9.67 % (843869)------------------------------
% 62.12/9.67 % (843869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.12/9.67 % (843869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.12/9.67 % (843869)CaDiCaL version: 2.1.3
% 62.12/9.67 % (843869)Termination reason: Instruction limit
% 62.12/9.67 % (843869)Termination phase: Saturation
% 62.12/9.67 % (843869)Time elapsed: 1.029 s
% 62.12/9.67 % (843869)Peak memory usage: 99 MB
% 62.12/9.67 % (843869)Instructions burned: 1187 (million)
% 62.12/9.67 % (843896)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=2502812575: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)
% 62.12/9.67 % (843898)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=2199433132:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 62.12/9.67 % (843896)Instruction limit reached!
% 62.12/9.67 % (843896)------------------------------
% 62.12/9.67 % (843896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.12/9.67 % (843896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.12/9.67 % (843896)CaDiCaL version: 2.1.3
% 62.12/9.67 % (843896)Termination reason: Instruction limit
% 62.12/9.67 % (843896)Termination phase: Saturation
% 62.12/9.67 % (843896)Time elapsed: 0.323 s
% 62.12/9.67 % (843896)Peak memory usage: 94 MB
% 62.12/9.67 % (843896)Instructions burned: 317 (million)
% 62.12/9.67 % (843900)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=681240768:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2983 on theBenchmark for (2983ds/2836Mi)
% 62.12/9.67 % (843882)Instruction limit reached!
% 62.12/9.67 % (843882)------------------------------
% 62.12/9.67 % (843882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.12/9.67 % (843882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.12/9.67 % (843882)CaDiCaL version: 2.1.3
% 62.12/9.67 % (843882)Termination reason: Instruction limit
% 62.12/9.67 % (843882)Termination phase: Saturation
% 62.12/9.67 % (843882)Time elapsed: 2.143 s
% 62.12/9.67 % (843882)Peak memory usage: 142 MB
% 62.12/9.67 % (843882)Instructions burned: 2051 (million)
% 62.12/9.67 % (843904)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=173567782:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2972 on theBenchmark for (2972ds/14534Mi)
% 62.12/9.67 % (843900)Instruction limit reached!
% 62.12/9.67 % (843900)------------------------------
% 62.12/9.67 % (843900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.12/9.67 % (843900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.12/9.67 % (843900)CaDiCaL version: 2.1.3
% 62.12/9.67 % (843900)Termination reason: Instruction limit
% 62.12/9.67 % (843900)Termination phase: Saturation
% 62.12/9.67 % (843900)Time elapsed: 2.983 s
% 62.12/9.67 % (843900)Peak memory usage: 145 MB
% 62.12/9.67 % (843900)Instructions burned: 2836 (million)
% 62.12/9.67 % (843910)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=142161694:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2950 on theBenchmark for (2950ds/11832Mi)
% 62.12/9.67 % (843885)Instruction limit reached!
% 62.12/9.67 % (843885)------------------------------
% 62.12/9.67 % (843885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.12/9.67 % (843885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.12/9.67 % (843885)CaDiCaL version: 2.1.3
% 62.12/9.67 % (843885)Termination reason: Instruction limit
% 62.12/9.67 % (843885)Termination phase: Saturation
% 62.12/9.67 % (843885)Time elapsed: 5.161 s
% 62.12/9.67 % (843885)Peak memory usage: 165 MB
% 62.12/9.67 % (843885)Instructions burned: 4948 (million)
% 62.12/9.67 % (843918)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=305468731:i=2279:fgj=on:bd=all_2940 on theBenchmark for (2940ds/2279Mi)
% 62.12/9.67 % (843863)First to succeed.
% 62.12/9.67 % (843863)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-843816"
% 62.12/9.67 % (843918)Instruction limit reached!
% 62.12/9.67 % (843918)------------------------------
% 62.12/9.67 % (843918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.12/9.67 % (843918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.12/9.67 % (843918)CaDiCaL version: 2.1.3
% 62.12/9.67 % (843918)Termination reason: Instruction limit
% 62.12/9.67 % (843918)Termination phase: Saturation
% 62.12/9.67 % (843918)Time elapsed: 2.442 s
% 62.12/9.67 % (843918)Peak memory usage: 141 MB
% 62.12/9.67 % (843918)Instructions burned: 2280 (million)
% 62.12/9.67 % (843863)Refutation found. Thanks to Tanya!
% 62.12/9.67 % SZS status Unsatisfiable for theBenchmark
% 62.12/9.67 % SZS output start Proof for theBenchmark
% See solution above
% 62.87/9.95 % (843863)------------------------------
% 62.87/9.95 % (843863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.87/9.95 % (843863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.87/9.95 % (843863)CaDiCaL version: 2.1.3
% 62.87/9.95 % (843863)Termination reason: Refutation
% 62.87/9.95 % (843863)Time elapsed: 8.277 s
% 62.87/9.95 % (843863)Peak memory usage: 235 MB
% 62.87/9.95 % (843863)Instructions burned: 14463 (million)
% 62.87/9.95 % (843863)------------------------------
% 62.87/9.95 % (843863)------------------------------
% 62.87/9.95 % (843816)Success in time 8.752 s
% 62.87/9.95 % Vampire exiting
%------------------------------------------------------------------------------