TSTP Solution File: LAT013-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LAT013-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 05:58:54 EDT 2022
% Result : Unsatisfiable 216.95s 217.12s
% Output : CNFRefutation 216.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 86
% Number of leaves : 105
% Syntax : Number of clauses : 486 ( 261 unt; 0 nHn; 228 RR)
% Number of literals : 817 ( 816 equ; 334 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 1405 ( 180 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mckenzie1,axiom,
join(X,meet(Y,meet(X,Z))) = X ).
cnf(mckenzie2,axiom,
meet(X,join(Y,join(X,Z))) = X ).
cnf(mckenzie3,axiom,
join(join(meet(X,Y),meet(Y,Z)),Y) = Y ).
cnf(mckenzie4,axiom,
meet(meet(join(X,Y),join(Y,Z)),Y) = Y ).
cnf(prove_associativity_of_meet,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)) ).
cnf(refute_0_0,plain,
meet(X,join(join(join(X,Z),X_44),join(X,Z))) = X,
inference(subst,[],[mckenzie2:[bind(Y,$fot(join(join(X,Z),X_44)))]]) ).
cnf(refute_0_1,plain,
join(X_16,meet(X_17,meet(X_16,join(Y,join(X_16,Z))))) = X_16,
inference(subst,[],[mckenzie1:[bind(X,$fot(X_16)),bind(Y,$fot(X_17)),bind(Z,$fot(join(Y,join(X_16,Z))))]]) ).
cnf(refute_0_2,plain,
meet(X_16,join(Y,join(X_16,Z))) = X_16,
inference(subst,[],[mckenzie2:[bind(X,$fot(X_16))]]) ).
cnf(refute_0_3,plain,
( join(X_16,meet(X_17,meet(X_16,join(Y,join(X_16,Z))))) != X_16
| meet(X_16,join(Y,join(X_16,Z))) != X_16
| join(X_16,meet(X_17,X_16)) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_16,meet(X_17,meet(X_16,join(Y,join(X_16,Z))))),X_16) ),[0,1,1],$fot(X_16)]]) ).
cnf(refute_0_4,plain,
( join(X_16,meet(X_17,meet(X_16,join(Y,join(X_16,Z))))) != X_16
| join(X_16,meet(X_17,X_16)) = X_16 ),
inference(resolve,[$cnf( $equal(meet(X_16,join(Y,join(X_16,Z))),X_16) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
join(X_16,meet(X_17,X_16)) = X_16,
inference(resolve,[$cnf( $equal(join(X_16,meet(X_17,meet(X_16,join(Y,join(X_16,Z))))),X_16) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
join(join(X_25,Z),meet(X_25,join(X_25,Z))) = join(X_25,Z),
inference(subst,[],[refute_0_5:[bind(X_16,$fot(join(X_25,Z))),bind(X_17,$fot(X_25))]]) ).
cnf(refute_0_7,plain,
meet(X,join(join(meet(X_3,join(X,Z)),meet(join(X,Z),X_5)),join(X,Z))) = X,
inference(subst,[],[mckenzie2:[bind(Y,$fot(join(meet(X_3,join(X,Z)),meet(join(X,Z),X_5))))]]) ).
cnf(refute_0_8,plain,
join(join(meet(X_3,join(X,Z)),meet(join(X,Z),X_5)),join(X,Z)) = join(X,Z),
inference(subst,[],[mckenzie3:[bind(X,$fot(X_3)),bind(Y,$fot(join(X,Z))),bind(Z,$fot(X_5))]]) ).
cnf(refute_0_9,plain,
( join(join(meet(X_3,join(X,Z)),meet(join(X,Z),X_5)),join(X,Z)) != join(X,Z)
| meet(X,join(join(meet(X_3,join(X,Z)),meet(join(X,Z),X_5)),join(X,Z))) != X
| meet(X,join(X,Z)) = X ),
introduced(tautology,[equality,[$cnf( $equal(meet(X,join(join(meet(X_3,join(X,Z)),meet(join(X,Z),X_5)),join(X,Z))),X) ),[0,1],$fot(join(X,Z))]]) ).
cnf(refute_0_10,plain,
( meet(X,join(join(meet(X_3,join(X,Z)),meet(join(X,Z),X_5)),join(X,Z))) != X
| meet(X,join(X,Z)) = X ),
inference(resolve,[$cnf( $equal(join(join(meet(X_3,join(X,Z)),meet(join(X,Z),X_5)),join(X,Z)),join(X,Z)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
meet(X,join(X,Z)) = X,
inference(resolve,[$cnf( $equal(meet(X,join(join(meet(X_3,join(X,Z)),meet(join(X,Z),X_5)),join(X,Z))),X) )],[refute_0_7,refute_0_10]) ).
cnf(refute_0_12,plain,
meet(X_25,join(X_25,Z)) = X_25,
inference(subst,[],[refute_0_11:[bind(X,$fot(X_25))]]) ).
cnf(refute_0_13,plain,
( join(join(X_25,Z),meet(X_25,join(X_25,Z))) != join(X_25,Z)
| meet(X_25,join(X_25,Z)) != X_25
| join(join(X_25,Z),X_25) = join(X_25,Z) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_25,Z),meet(X_25,join(X_25,Z))),join(X_25,Z)) ),[0,1],$fot(X_25)]]) ).
cnf(refute_0_14,plain,
( join(join(X_25,Z),meet(X_25,join(X_25,Z))) != join(X_25,Z)
| join(join(X_25,Z),X_25) = join(X_25,Z) ),
inference(resolve,[$cnf( $equal(meet(X_25,join(X_25,Z)),X_25) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
join(join(X_25,Z),X_25) = join(X_25,Z),
inference(resolve,[$cnf( $equal(join(join(X_25,Z),meet(X_25,join(X_25,Z))),join(X_25,Z)) )],[refute_0_6,refute_0_14]) ).
cnf(refute_0_16,plain,
join(join(join(X,Z),X_44),join(X,Z)) = join(join(X,Z),X_44),
inference(subst,[],[refute_0_15:[bind(Z,$fot(X_44)),bind(X_25,$fot(join(X,Z)))]]) ).
cnf(refute_0_17,plain,
( join(join(join(X,Z),X_44),join(X,Z)) != join(join(X,Z),X_44)
| meet(X,join(join(join(X,Z),X_44),join(X,Z))) != X
| meet(X,join(join(X,Z),X_44)) = X ),
introduced(tautology,[equality,[$cnf( $equal(meet(X,join(join(join(X,Z),X_44),join(X,Z))),X) ),[0,1],$fot(join(join(X,Z),X_44))]]) ).
cnf(refute_0_18,plain,
( meet(X,join(join(join(X,Z),X_44),join(X,Z))) != X
| meet(X,join(join(X,Z),X_44)) = X ),
inference(resolve,[$cnf( $equal(join(join(join(X,Z),X_44),join(X,Z)),join(join(X,Z),X_44)) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
meet(X,join(join(X,Z),X_44)) = X,
inference(resolve,[$cnf( $equal(meet(X,join(join(join(X,Z),X_44),join(X,Z))),X) )],[refute_0_0,refute_0_18]) ).
cnf(refute_0_20,plain,
meet(X_94,join(join(X_94,join(X_23,X_94)),X_96)) = X_94,
inference(subst,[],[refute_0_19:[bind(X,$fot(X_94)),bind(Z,$fot(join(X_23,X_94))),bind(X_44,$fot(X_96))]]) ).
cnf(refute_0_21,plain,
join(join(meet(X,Y),meet(Y,meet(meet(X,Y),X_18))),Y) = Y,
inference(subst,[],[mckenzie3:[bind(Z,$fot(meet(meet(X,Y),X_18)))]]) ).
cnf(refute_0_22,plain,
join(meet(X,Y),meet(Y,meet(meet(X,Y),X_18))) = meet(X,Y),
inference(subst,[],[mckenzie1:[bind(X,$fot(meet(X,Y))),bind(Z,$fot(X_18))]]) ).
cnf(refute_0_23,plain,
( join(join(meet(X,Y),meet(Y,meet(meet(X,Y),X_18))),Y) != Y
| join(meet(X,Y),meet(Y,meet(meet(X,Y),X_18))) != meet(X,Y)
| join(meet(X,Y),Y) = Y ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X,Y),meet(Y,meet(meet(X,Y),X_18))),Y),Y) ),[0,0],$fot(meet(X,Y))]]) ).
cnf(refute_0_24,plain,
( join(join(meet(X,Y),meet(Y,meet(meet(X,Y),X_18))),Y) != Y
| join(meet(X,Y),Y) = Y ),
inference(resolve,[$cnf( $equal(join(meet(X,Y),meet(Y,meet(meet(X,Y),X_18))),meet(X,Y)) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
join(meet(X,Y),Y) = Y,
inference(resolve,[$cnf( $equal(join(join(meet(X,Y),meet(Y,meet(meet(X,Y),X_18))),Y),Y) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
join(meet(X,join(X_23,X)),join(X_23,X)) = join(X_23,X),
inference(subst,[],[refute_0_25:[bind(Y,$fot(join(X_23,X)))]]) ).
cnf(refute_0_27,plain,
meet(X,join(Y,join(X,meet(X_17,meet(X,X_18))))) = X,
inference(subst,[],[mckenzie2:[bind(Z,$fot(meet(X_17,meet(X,X_18))))]]) ).
cnf(refute_0_28,plain,
join(X,meet(X_17,meet(X,X_18))) = X,
inference(subst,[],[mckenzie1:[bind(Y,$fot(X_17)),bind(Z,$fot(X_18))]]) ).
cnf(refute_0_29,plain,
( join(X,meet(X_17,meet(X,X_18))) != X
| meet(X,join(Y,join(X,meet(X_17,meet(X,X_18))))) != X
| meet(X,join(Y,X)) = X ),
introduced(tautology,[equality,[$cnf( $equal(meet(X,join(Y,join(X,meet(X_17,meet(X,X_18))))),X) ),[0,1,1],$fot(X)]]) ).
cnf(refute_0_30,plain,
( meet(X,join(Y,join(X,meet(X_17,meet(X,X_18))))) != X
| meet(X,join(Y,X)) = X ),
inference(resolve,[$cnf( $equal(join(X,meet(X_17,meet(X,X_18))),X) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
meet(X,join(Y,X)) = X,
inference(resolve,[$cnf( $equal(meet(X,join(Y,join(X,meet(X_17,meet(X,X_18))))),X) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
meet(X,join(X_23,X)) = X,
inference(subst,[],[refute_0_31:[bind(Y,$fot(X_23))]]) ).
cnf(refute_0_33,plain,
( join(meet(X,join(X_23,X)),join(X_23,X)) != join(X_23,X)
| meet(X,join(X_23,X)) != X
| join(X,join(X_23,X)) = join(X_23,X) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X,join(X_23,X)),join(X_23,X)),join(X_23,X)) ),[0,0],$fot(X)]]) ).
cnf(refute_0_34,plain,
( join(meet(X,join(X_23,X)),join(X_23,X)) != join(X_23,X)
| join(X,join(X_23,X)) = join(X_23,X) ),
inference(resolve,[$cnf( $equal(meet(X,join(X_23,X)),X) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
join(X,join(X_23,X)) = join(X_23,X),
inference(resolve,[$cnf( $equal(join(meet(X,join(X_23,X)),join(X_23,X)),join(X_23,X)) )],[refute_0_26,refute_0_34]) ).
cnf(refute_0_36,plain,
join(X_94,join(X_23,X_94)) = join(X_23,X_94),
inference(subst,[],[refute_0_35:[bind(X,$fot(X_94))]]) ).
cnf(refute_0_37,plain,
( join(X_94,join(X_23,X_94)) != join(X_23,X_94)
| meet(X_94,join(join(X_94,join(X_23,X_94)),X_96)) != X_94
| meet(X_94,join(join(X_23,X_94),X_96)) = X_94 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_94,join(join(X_94,join(X_23,X_94)),X_96)),X_94) ),[0,1,0],$fot(join(X_23,X_94))]]) ).
cnf(refute_0_38,plain,
( meet(X_94,join(join(X_94,join(X_23,X_94)),X_96)) != X_94
| meet(X_94,join(join(X_23,X_94),X_96)) = X_94 ),
inference(resolve,[$cnf( $equal(join(X_94,join(X_23,X_94)),join(X_23,X_94)) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
meet(X_94,join(join(X_23,X_94),X_96)) = X_94,
inference(resolve,[$cnf( $equal(meet(X_94,join(join(X_94,join(X_23,X_94)),X_96)),X_94) )],[refute_0_20,refute_0_38]) ).
cnf(refute_0_40,plain,
meet(meet(X_300,X_299),join(join(meet(X_299,X_300),meet(X_300,X_299)),X_96)) = meet(X_300,X_299),
inference(subst,[],[refute_0_39:[bind(X_23,$fot(meet(X_299,X_300))),bind(X_94,$fot(meet(X_300,X_299)))]]) ).
cnf(refute_0_41,plain,
meet(meet(join(X_8,join(meet(X,X_10),meet(X_10,Z))),join(join(meet(X,X_10),meet(X_10,Z)),X_10)),join(meet(X,X_10),meet(X_10,Z))) = join(meet(X,X_10),meet(X_10,Z)),
inference(subst,[],[mckenzie4:[bind(X,$fot(X_8)),bind(Y,$fot(join(meet(X,X_10),meet(X_10,Z)))),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_42,plain,
join(join(meet(X,X_10),meet(X_10,Z)),X_10) = X_10,
inference(subst,[],[mckenzie3:[bind(Y,$fot(X_10))]]) ).
cnf(refute_0_43,plain,
( join(join(meet(X,X_10),meet(X_10,Z)),X_10) != X_10
| meet(meet(join(X_8,join(meet(X,X_10),meet(X_10,Z))),join(join(meet(X,X_10),meet(X_10,Z)),X_10)),join(meet(X,X_10),meet(X_10,Z))) != join(meet(X,X_10),meet(X_10,Z))
| meet(meet(join(X_8,join(meet(X,X_10),meet(X_10,Z))),X_10),join(meet(X,X_10),meet(X_10,Z))) = join(meet(X,X_10),meet(X_10,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_8,join(meet(X,X_10),meet(X_10,Z))),join(join(meet(X,X_10),meet(X_10,Z)),X_10)),join(meet(X,X_10),meet(X_10,Z))),join(meet(X,X_10),meet(X_10,Z))) ),[0,0,1],$fot(X_10)]]) ).
cnf(refute_0_44,plain,
( meet(meet(join(X_8,join(meet(X,X_10),meet(X_10,Z))),join(join(meet(X,X_10),meet(X_10,Z)),X_10)),join(meet(X,X_10),meet(X_10,Z))) != join(meet(X,X_10),meet(X_10,Z))
| meet(meet(join(X_8,join(meet(X,X_10),meet(X_10,Z))),X_10),join(meet(X,X_10),meet(X_10,Z))) = join(meet(X,X_10),meet(X_10,Z)) ),
inference(resolve,[$cnf( $equal(join(join(meet(X,X_10),meet(X_10,Z)),X_10),X_10) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
meet(meet(join(X_8,join(meet(X,X_10),meet(X_10,Z))),X_10),join(meet(X,X_10),meet(X_10,Z))) = join(meet(X,X_10),meet(X_10,Z)),
inference(resolve,[$cnf( $equal(meet(meet(join(X_8,join(meet(X,X_10),meet(X_10,Z))),join(join(meet(X,X_10),meet(X_10,Z)),X_10)),join(meet(X,X_10),meet(X_10,Z))),join(meet(X,X_10),meet(X_10,Z))) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
meet(meet(join(Z,join(meet(Z,X_10),meet(X_10,Z))),X_10),join(meet(Z,X_10),meet(X_10,Z))) = join(meet(Z,X_10),meet(X_10,Z)),
inference(subst,[],[refute_0_45:[bind(X,$fot(Z)),bind(X_8,$fot(Z))]]) ).
cnf(refute_0_47,plain,
join(join(join(meet(X,X_44),meet(X_44,Z)),X_44),join(meet(X,X_44),meet(X_44,Z))) = join(join(meet(X,X_44),meet(X_44,Z)),X_44),
inference(subst,[],[refute_0_15:[bind(Z,$fot(X_44)),bind(X_25,$fot(join(meet(X,X_44),meet(X_44,Z))))]]) ).
cnf(refute_0_48,plain,
join(join(meet(X,X_44),meet(X_44,Z)),X_44) = X_44,
inference(subst,[],[mckenzie3:[bind(Y,$fot(X_44))]]) ).
cnf(refute_0_49,plain,
( join(join(join(meet(X,X_44),meet(X_44,Z)),X_44),join(meet(X,X_44),meet(X_44,Z))) != join(join(meet(X,X_44),meet(X_44,Z)),X_44)
| join(join(meet(X,X_44),meet(X_44,Z)),X_44) != X_44
| join(X_44,join(meet(X,X_44),meet(X_44,Z))) = join(join(meet(X,X_44),meet(X_44,Z)),X_44) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(join(meet(X,X_44),meet(X_44,Z)),X_44),join(meet(X,X_44),meet(X_44,Z))),join(join(meet(X,X_44),meet(X_44,Z)),X_44)) ),[0,0],$fot(X_44)]]) ).
cnf(refute_0_50,plain,
( join(join(join(meet(X,X_44),meet(X_44,Z)),X_44),join(meet(X,X_44),meet(X_44,Z))) != join(join(meet(X,X_44),meet(X_44,Z)),X_44)
| join(X_44,join(meet(X,X_44),meet(X_44,Z))) = join(join(meet(X,X_44),meet(X_44,Z)),X_44) ),
inference(resolve,[$cnf( $equal(join(join(meet(X,X_44),meet(X_44,Z)),X_44),X_44) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
join(X_44,join(meet(X,X_44),meet(X_44,Z))) = join(join(meet(X,X_44),meet(X_44,Z)),X_44),
inference(resolve,[$cnf( $equal(join(join(join(meet(X,X_44),meet(X_44,Z)),X_44),join(meet(X,X_44),meet(X_44,Z))),join(join(meet(X,X_44),meet(X_44,Z)),X_44)) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
( join(X_44,join(meet(X,X_44),meet(X_44,Z))) != join(join(meet(X,X_44),meet(X_44,Z)),X_44)
| join(join(meet(X,X_44),meet(X_44,Z)),X_44) != X_44
| join(X_44,join(meet(X,X_44),meet(X_44,Z))) = X_44 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_44,join(meet(X,X_44),meet(X_44,Z))),X_44) ),[0],$fot(join(join(meet(X,X_44),meet(X_44,Z)),X_44))]]) ).
cnf(refute_0_53,plain,
( join(X_44,join(meet(X,X_44),meet(X_44,Z))) != join(join(meet(X,X_44),meet(X_44,Z)),X_44)
| join(X_44,join(meet(X,X_44),meet(X_44,Z))) = X_44 ),
inference(resolve,[$cnf( $equal(join(join(meet(X,X_44),meet(X_44,Z)),X_44),X_44) )],[refute_0_48,refute_0_52]) ).
cnf(refute_0_54,plain,
join(X_44,join(meet(X,X_44),meet(X_44,Z))) = X_44,
inference(resolve,[$cnf( $equal(join(X_44,join(meet(X,X_44),meet(X_44,Z))),join(join(meet(X,X_44),meet(X_44,Z)),X_44)) )],[refute_0_51,refute_0_53]) ).
cnf(refute_0_55,plain,
join(join(meet(X,join(X_23,X)),meet(join(X_23,X),Z)),join(X_23,X)) = join(X_23,X),
inference(subst,[],[mckenzie3:[bind(Y,$fot(join(X_23,X)))]]) ).
cnf(refute_0_56,plain,
( join(join(meet(X,join(X_23,X)),meet(join(X_23,X),Z)),join(X_23,X)) != join(X_23,X)
| meet(X,join(X_23,X)) != X
| join(join(X,meet(join(X_23,X),Z)),join(X_23,X)) = join(X_23,X) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X,join(X_23,X)),meet(join(X_23,X),Z)),join(X_23,X)),join(X_23,X)) ),[0,0,0],$fot(X)]]) ).
cnf(refute_0_57,plain,
( join(join(meet(X,join(X_23,X)),meet(join(X_23,X),Z)),join(X_23,X)) != join(X_23,X)
| join(join(X,meet(join(X_23,X),Z)),join(X_23,X)) = join(X_23,X) ),
inference(resolve,[$cnf( $equal(meet(X,join(X_23,X)),X) )],[refute_0_32,refute_0_56]) ).
cnf(refute_0_58,plain,
join(join(X,meet(join(X_23,X),Z)),join(X_23,X)) = join(X_23,X),
inference(resolve,[$cnf( $equal(join(join(meet(X,join(X_23,X)),meet(join(X_23,X),Z)),join(X_23,X)),join(X_23,X)) )],[refute_0_55,refute_0_57]) ).
cnf(refute_0_59,plain,
join(join(X_97,meet(join(X_98,X_97),X_98)),join(X_98,X_97)) = join(X_98,X_97),
inference(subst,[],[refute_0_58:[bind(X,$fot(X_97)),bind(Z,$fot(X_98)),bind(X_23,$fot(X_98))]]) ).
cnf(refute_0_60,plain,
meet(meet(join(X_8,X_9),join(X_9,join(join(X_8,X_9),Z))),X_9) = X_9,
inference(subst,[],[mckenzie4:[bind(X,$fot(X_8)),bind(Y,$fot(X_9)),bind(Z,$fot(join(join(X_8,X_9),Z)))]]) ).
cnf(refute_0_61,plain,
meet(join(X_8,X_9),join(X_9,join(join(X_8,X_9),Z))) = join(X_8,X_9),
inference(subst,[],[mckenzie2:[bind(X,$fot(join(X_8,X_9))),bind(Y,$fot(X_9))]]) ).
cnf(refute_0_62,plain,
( meet(join(X_8,X_9),join(X_9,join(join(X_8,X_9),Z))) != join(X_8,X_9)
| meet(meet(join(X_8,X_9),join(X_9,join(join(X_8,X_9),Z))),X_9) != X_9
| meet(join(X_8,X_9),X_9) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_8,X_9),join(X_9,join(join(X_8,X_9),Z))),X_9),X_9) ),[0,0],$fot(join(X_8,X_9))]]) ).
cnf(refute_0_63,plain,
( meet(meet(join(X_8,X_9),join(X_9,join(join(X_8,X_9),Z))),X_9) != X_9
| meet(join(X_8,X_9),X_9) = X_9 ),
inference(resolve,[$cnf( $equal(meet(join(X_8,X_9),join(X_9,join(join(X_8,X_9),Z))),join(X_8,X_9)) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
meet(join(X_8,X_9),X_9) = X_9,
inference(resolve,[$cnf( $equal(meet(meet(join(X_8,X_9),join(X_9,join(join(X_8,X_9),Z))),X_9),X_9) )],[refute_0_60,refute_0_63]) ).
cnf(refute_0_65,plain,
meet(join(X_8,meet(X_25,X_8)),meet(X_25,X_8)) = meet(X_25,X_8),
inference(subst,[],[refute_0_64:[bind(X_9,$fot(meet(X_25,X_8)))]]) ).
cnf(refute_0_66,plain,
join(X_8,meet(X_25,X_8)) = X_8,
inference(subst,[],[refute_0_5:[bind(X_16,$fot(X_8)),bind(X_17,$fot(X_25))]]) ).
cnf(refute_0_67,plain,
( join(X_8,meet(X_25,X_8)) != X_8
| meet(join(X_8,meet(X_25,X_8)),meet(X_25,X_8)) != meet(X_25,X_8)
| meet(X_8,meet(X_25,X_8)) = meet(X_25,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_8,meet(X_25,X_8)),meet(X_25,X_8)),meet(X_25,X_8)) ),[0,0],$fot(X_8)]]) ).
cnf(refute_0_68,plain,
( meet(join(X_8,meet(X_25,X_8)),meet(X_25,X_8)) != meet(X_25,X_8)
| meet(X_8,meet(X_25,X_8)) = meet(X_25,X_8) ),
inference(resolve,[$cnf( $equal(join(X_8,meet(X_25,X_8)),X_8) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
meet(X_8,meet(X_25,X_8)) = meet(X_25,X_8),
inference(resolve,[$cnf( $equal(meet(join(X_8,meet(X_25,X_8)),meet(X_25,X_8)),meet(X_25,X_8)) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
meet(join(X_40,Z),meet(X_40,join(X_40,Z))) = meet(X_40,join(X_40,Z)),
inference(subst,[],[refute_0_69:[bind(X_25,$fot(X_40)),bind(X_8,$fot(join(X_40,Z)))]]) ).
cnf(refute_0_71,plain,
meet(X_40,join(X_40,Z)) = X_40,
inference(subst,[],[refute_0_11:[bind(X,$fot(X_40))]]) ).
cnf(refute_0_72,plain,
( meet(X_40,join(X_40,Z)) != X_40
| meet(join(X_40,Z),meet(X_40,join(X_40,Z))) != meet(X_40,join(X_40,Z))
| meet(join(X_40,Z),X_40) = meet(X_40,join(X_40,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_40,Z),meet(X_40,join(X_40,Z))),meet(X_40,join(X_40,Z))) ),[0,1],$fot(X_40)]]) ).
cnf(refute_0_73,plain,
( meet(join(X_40,Z),meet(X_40,join(X_40,Z))) != meet(X_40,join(X_40,Z))
| meet(join(X_40,Z),X_40) = meet(X_40,join(X_40,Z)) ),
inference(resolve,[$cnf( $equal(meet(X_40,join(X_40,Z)),X_40) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
meet(join(X_40,Z),X_40) = meet(X_40,join(X_40,Z)),
inference(resolve,[$cnf( $equal(meet(join(X_40,Z),meet(X_40,join(X_40,Z))),meet(X_40,join(X_40,Z))) )],[refute_0_70,refute_0_73]) ).
cnf(refute_0_75,plain,
( meet(X_40,join(X_40,Z)) != X_40
| meet(join(X_40,Z),X_40) != meet(X_40,join(X_40,Z))
| meet(join(X_40,Z),X_40) = X_40 ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_40,Z),X_40),meet(X_40,join(X_40,Z))) ),[1],$fot(X_40)]]) ).
cnf(refute_0_76,plain,
( meet(join(X_40,Z),X_40) != meet(X_40,join(X_40,Z))
| meet(join(X_40,Z),X_40) = X_40 ),
inference(resolve,[$cnf( $equal(meet(X_40,join(X_40,Z)),X_40) )],[refute_0_71,refute_0_75]) ).
cnf(refute_0_77,plain,
meet(join(X_40,Z),X_40) = X_40,
inference(resolve,[$cnf( $equal(meet(join(X_40,Z),X_40),meet(X_40,join(X_40,Z))) )],[refute_0_74,refute_0_76]) ).
cnf(refute_0_78,plain,
meet(join(X_98,X_97),X_98) = X_98,
inference(subst,[],[refute_0_77:[bind(Z,$fot(X_97)),bind(X_40,$fot(X_98))]]) ).
cnf(refute_0_79,plain,
( join(join(X_97,meet(join(X_98,X_97),X_98)),join(X_98,X_97)) != join(X_98,X_97)
| meet(join(X_98,X_97),X_98) != X_98
| join(join(X_97,X_98),join(X_98,X_97)) = join(X_98,X_97) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_97,meet(join(X_98,X_97),X_98)),join(X_98,X_97)),join(X_98,X_97)) ),[0,0,1],$fot(X_98)]]) ).
cnf(refute_0_80,plain,
( join(join(X_97,meet(join(X_98,X_97),X_98)),join(X_98,X_97)) != join(X_98,X_97)
| join(join(X_97,X_98),join(X_98,X_97)) = join(X_98,X_97) ),
inference(resolve,[$cnf( $equal(meet(join(X_98,X_97),X_98),X_98) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
join(join(X_97,X_98),join(X_98,X_97)) = join(X_98,X_97),
inference(resolve,[$cnf( $equal(join(join(X_97,meet(join(X_98,X_97),X_98)),join(X_98,X_97)),join(X_98,X_97)) )],[refute_0_59,refute_0_80]) ).
cnf(refute_0_82,plain,
join(join(join(X_101,X_100),join(X_100,X_101)),join(join(X_100,X_101),join(X_101,X_100))) = join(join(X_100,X_101),join(X_101,X_100)),
inference(subst,[],[refute_0_81:[bind(X_97,$fot(join(X_101,X_100))),bind(X_98,$fot(join(X_100,X_101)))]]) ).
cnf(refute_0_83,plain,
join(join(X_100,X_101),join(X_101,X_100)) = join(X_101,X_100),
inference(subst,[],[refute_0_81:[bind(X_97,$fot(X_100)),bind(X_98,$fot(X_101))]]) ).
cnf(refute_0_84,plain,
( join(join(X_100,X_101),join(X_101,X_100)) != join(X_101,X_100)
| join(join(join(X_101,X_100),join(X_100,X_101)),join(join(X_100,X_101),join(X_101,X_100))) != join(join(X_100,X_101),join(X_101,X_100))
| join(join(join(X_101,X_100),join(X_100,X_101)),join(X_101,X_100)) = join(join(X_100,X_101),join(X_101,X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(join(X_101,X_100),join(X_100,X_101)),join(join(X_100,X_101),join(X_101,X_100))),join(join(X_100,X_101),join(X_101,X_100))) ),[0,1],$fot(join(X_101,X_100))]]) ).
cnf(refute_0_85,plain,
( join(join(join(X_101,X_100),join(X_100,X_101)),join(join(X_100,X_101),join(X_101,X_100))) != join(join(X_100,X_101),join(X_101,X_100))
| join(join(join(X_101,X_100),join(X_100,X_101)),join(X_101,X_100)) = join(join(X_100,X_101),join(X_101,X_100)) ),
inference(resolve,[$cnf( $equal(join(join(X_100,X_101),join(X_101,X_100)),join(X_101,X_100)) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
join(join(join(X_101,X_100),join(X_100,X_101)),join(X_101,X_100)) = join(join(X_100,X_101),join(X_101,X_100)),
inference(resolve,[$cnf( $equal(join(join(join(X_101,X_100),join(X_100,X_101)),join(join(X_100,X_101),join(X_101,X_100))),join(join(X_100,X_101),join(X_101,X_100))) )],[refute_0_82,refute_0_85]) ).
cnf(refute_0_87,plain,
join(join(X_101,X_100),join(X_100,X_101)) = join(X_100,X_101),
inference(subst,[],[refute_0_81:[bind(X_97,$fot(X_101)),bind(X_98,$fot(X_100))]]) ).
cnf(refute_0_88,plain,
join(join(join(X_101,X_100),join(X_100,X_101)),join(X_101,X_100)) = join(join(X_101,X_100),join(X_100,X_101)),
inference(subst,[],[refute_0_15:[bind(Z,$fot(join(X_100,X_101))),bind(X_25,$fot(join(X_101,X_100)))]]) ).
cnf(refute_0_89,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_90,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_91,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_93,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
( join(join(X_101,X_100),join(X_100,X_101)) != join(X_100,X_101)
| join(join(join(X_101,X_100),join(X_100,X_101)),join(X_101,X_100)) != join(join(X_101,X_100),join(X_100,X_101))
| join(join(join(X_101,X_100),join(X_100,X_101)),join(X_101,X_100)) = join(X_100,X_101) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(join(join(X_101,X_100),join(X_100,X_101)),join(X_101,X_100)))),bind(Y0,$fot(join(join(X_101,X_100),join(X_100,X_101)))),bind(Z0,$fot(join(X_100,X_101)))]]) ).
cnf(refute_0_95,plain,
( join(join(X_101,X_100),join(X_100,X_101)) != join(X_100,X_101)
| join(join(join(X_101,X_100),join(X_100,X_101)),join(X_101,X_100)) = join(X_100,X_101) ),
inference(resolve,[$cnf( $equal(join(join(join(X_101,X_100),join(X_100,X_101)),join(X_101,X_100)),join(join(X_101,X_100),join(X_100,X_101))) )],[refute_0_88,refute_0_94]) ).
cnf(refute_0_96,plain,
join(join(join(X_101,X_100),join(X_100,X_101)),join(X_101,X_100)) = join(X_100,X_101),
inference(resolve,[$cnf( $equal(join(join(X_101,X_100),join(X_100,X_101)),join(X_100,X_101)) )],[refute_0_87,refute_0_95]) ).
cnf(refute_0_97,plain,
( join(join(join(X_101,X_100),join(X_100,X_101)),join(X_101,X_100)) != join(X_100,X_101)
| join(join(join(X_101,X_100),join(X_100,X_101)),join(X_101,X_100)) != join(join(X_100,X_101),join(X_101,X_100))
| join(X_100,X_101) = join(join(X_100,X_101),join(X_101,X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(join(X_101,X_100),join(X_100,X_101)),join(X_101,X_100)),join(join(X_100,X_101),join(X_101,X_100))) ),[0],$fot(join(X_100,X_101))]]) ).
cnf(refute_0_98,plain,
( join(join(join(X_101,X_100),join(X_100,X_101)),join(X_101,X_100)) != join(join(X_100,X_101),join(X_101,X_100))
| join(X_100,X_101) = join(join(X_100,X_101),join(X_101,X_100)) ),
inference(resolve,[$cnf( $equal(join(join(join(X_101,X_100),join(X_100,X_101)),join(X_101,X_100)),join(X_100,X_101)) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
( join(X_100,X_101) != join(join(X_100,X_101),join(X_101,X_100))
| join(join(X_100,X_101),join(X_101,X_100)) != join(X_101,X_100)
| join(X_100,X_101) = join(X_101,X_100) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_100,X_101),join(X_101,X_100)) ),[0],$fot(join(join(X_100,X_101),join(X_101,X_100)))]]) ).
cnf(refute_0_100,plain,
( join(X_100,X_101) != join(join(X_100,X_101),join(X_101,X_100))
| join(X_100,X_101) = join(X_101,X_100) ),
inference(resolve,[$cnf( $equal(join(join(X_100,X_101),join(X_101,X_100)),join(X_101,X_100)) )],[refute_0_83,refute_0_99]) ).
cnf(refute_0_101,plain,
( join(join(join(X_101,X_100),join(X_100,X_101)),join(X_101,X_100)) != join(join(X_100,X_101),join(X_101,X_100))
| join(X_100,X_101) = join(X_101,X_100) ),
inference(resolve,[$cnf( $equal(join(X_100,X_101),join(join(X_100,X_101),join(X_101,X_100))) )],[refute_0_98,refute_0_100]) ).
cnf(refute_0_102,plain,
join(X_100,X_101) = join(X_101,X_100),
inference(resolve,[$cnf( $equal(join(join(join(X_101,X_100),join(X_100,X_101)),join(X_101,X_100)),join(join(X_100,X_101),join(X_101,X_100))) )],[refute_0_86,refute_0_101]) ).
cnf(refute_0_103,plain,
join(meet(X,X_44),meet(X_44,Z)) = join(meet(X_44,Z),meet(X,X_44)),
inference(subst,[],[refute_0_102:[bind(X_100,$fot(meet(X,X_44))),bind(X_101,$fot(meet(X_44,Z)))]]) ).
cnf(refute_0_104,plain,
( join(X_44,join(meet(X,X_44),meet(X_44,Z))) != X_44
| join(meet(X,X_44),meet(X_44,Z)) != join(meet(X_44,Z),meet(X,X_44))
| join(X_44,join(meet(X_44,Z),meet(X,X_44))) = X_44 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_44,join(meet(X,X_44),meet(X_44,Z))),X_44) ),[0,1],$fot(join(meet(X_44,Z),meet(X,X_44)))]]) ).
cnf(refute_0_105,plain,
( join(X_44,join(meet(X,X_44),meet(X_44,Z))) != X_44
| join(X_44,join(meet(X_44,Z),meet(X,X_44))) = X_44 ),
inference(resolve,[$cnf( $equal(join(meet(X,X_44),meet(X_44,Z)),join(meet(X_44,Z),meet(X,X_44))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
join(X_44,join(meet(X_44,Z),meet(X,X_44))) = X_44,
inference(resolve,[$cnf( $equal(join(X_44,join(meet(X,X_44),meet(X_44,Z))),X_44) )],[refute_0_54,refute_0_105]) ).
cnf(refute_0_107,plain,
join(Z,join(meet(Z,X_10),meet(X_10,Z))) = Z,
inference(subst,[],[refute_0_106:[bind(X,$fot(X_10)),bind(Z,$fot(X_10)),bind(X_44,$fot(Z))]]) ).
cnf(refute_0_108,plain,
( join(Z,join(meet(Z,X_10),meet(X_10,Z))) != Z
| meet(meet(join(Z,join(meet(Z,X_10),meet(X_10,Z))),X_10),join(meet(Z,X_10),meet(X_10,Z))) != join(meet(Z,X_10),meet(X_10,Z))
| meet(meet(Z,X_10),join(meet(Z,X_10),meet(X_10,Z))) = join(meet(Z,X_10),meet(X_10,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(Z,join(meet(Z,X_10),meet(X_10,Z))),X_10),join(meet(Z,X_10),meet(X_10,Z))),join(meet(Z,X_10),meet(X_10,Z))) ),[0,0,0],$fot(Z)]]) ).
cnf(refute_0_109,plain,
( meet(meet(join(Z,join(meet(Z,X_10),meet(X_10,Z))),X_10),join(meet(Z,X_10),meet(X_10,Z))) != join(meet(Z,X_10),meet(X_10,Z))
| meet(meet(Z,X_10),join(meet(Z,X_10),meet(X_10,Z))) = join(meet(Z,X_10),meet(X_10,Z)) ),
inference(resolve,[$cnf( $equal(join(Z,join(meet(Z,X_10),meet(X_10,Z))),Z) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
meet(meet(Z,X_10),join(meet(Z,X_10),meet(X_10,Z))) = join(meet(Z,X_10),meet(X_10,Z)),
inference(resolve,[$cnf( $equal(meet(meet(join(Z,join(meet(Z,X_10),meet(X_10,Z))),X_10),join(meet(Z,X_10),meet(X_10,Z))),join(meet(Z,X_10),meet(X_10,Z))) )],[refute_0_46,refute_0_109]) ).
cnf(refute_0_111,plain,
meet(meet(Z,X_10),join(meet(Z,X_10),meet(X_10,Z))) = meet(Z,X_10),
inference(subst,[],[refute_0_11:[bind(X,$fot(meet(Z,X_10))),bind(Z,$fot(meet(X_10,Z)))]]) ).
cnf(refute_0_112,plain,
( meet(meet(Z,X_10),join(meet(Z,X_10),meet(X_10,Z))) != join(meet(Z,X_10),meet(X_10,Z))
| meet(meet(Z,X_10),join(meet(Z,X_10),meet(X_10,Z))) != meet(Z,X_10)
| meet(Z,X_10) = join(meet(Z,X_10),meet(X_10,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(Z,X_10),join(meet(Z,X_10),meet(X_10,Z))),join(meet(Z,X_10),meet(X_10,Z))) ),[0],$fot(meet(Z,X_10))]]) ).
cnf(refute_0_113,plain,
( meet(meet(Z,X_10),join(meet(Z,X_10),meet(X_10,Z))) != join(meet(Z,X_10),meet(X_10,Z))
| meet(Z,X_10) = join(meet(Z,X_10),meet(X_10,Z)) ),
inference(resolve,[$cnf( $equal(meet(meet(Z,X_10),join(meet(Z,X_10),meet(X_10,Z))),meet(Z,X_10)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
meet(Z,X_10) = join(meet(Z,X_10),meet(X_10,Z)),
inference(resolve,[$cnf( $equal(meet(meet(Z,X_10),join(meet(Z,X_10),meet(X_10,Z))),join(meet(Z,X_10),meet(X_10,Z))) )],[refute_0_110,refute_0_113]) ).
cnf(refute_0_115,plain,
meet(X_299,X_300) = join(meet(X_299,X_300),meet(X_300,X_299)),
inference(subst,[],[refute_0_114:[bind(Z,$fot(X_299)),bind(X_10,$fot(X_300))]]) ).
cnf(refute_0_116,plain,
( meet(X_299,X_300) != join(meet(X_299,X_300),meet(X_300,X_299))
| join(meet(X_299,X_300),meet(X_300,X_299)) = meet(X_299,X_300) ),
inference(subst,[],[refute_0_91:[bind(X0,$fot(meet(X_299,X_300))),bind(Y0,$fot(join(meet(X_299,X_300),meet(X_300,X_299))))]]) ).
cnf(refute_0_117,plain,
join(meet(X_299,X_300),meet(X_300,X_299)) = meet(X_299,X_300),
inference(resolve,[$cnf( $equal(meet(X_299,X_300),join(meet(X_299,X_300),meet(X_300,X_299))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
( join(meet(X_299,X_300),meet(X_300,X_299)) != meet(X_299,X_300)
| meet(meet(X_300,X_299),join(join(meet(X_299,X_300),meet(X_300,X_299)),X_96)) != meet(X_300,X_299)
| meet(meet(X_300,X_299),join(meet(X_299,X_300),X_96)) = meet(X_300,X_299) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_300,X_299),join(join(meet(X_299,X_300),meet(X_300,X_299)),X_96)),meet(X_300,X_299)) ),[0,1,0],$fot(meet(X_299,X_300))]]) ).
cnf(refute_0_119,plain,
( meet(meet(X_300,X_299),join(join(meet(X_299,X_300),meet(X_300,X_299)),X_96)) != meet(X_300,X_299)
| meet(meet(X_300,X_299),join(meet(X_299,X_300),X_96)) = meet(X_300,X_299) ),
inference(resolve,[$cnf( $equal(join(meet(X_299,X_300),meet(X_300,X_299)),meet(X_299,X_300)) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
meet(meet(X_300,X_299),join(meet(X_299,X_300),X_96)) = meet(X_300,X_299),
inference(resolve,[$cnf( $equal(meet(meet(X_300,X_299),join(join(meet(X_299,X_300),meet(X_300,X_299)),X_96)),meet(X_300,X_299)) )],[refute_0_40,refute_0_119]) ).
cnf(refute_0_121,plain,
join(meet(join(X,X_18),join(X_18,Z)),meet(X_17,meet(meet(join(X,X_18),join(X_18,Z)),X_18))) = meet(join(X,X_18),join(X_18,Z)),
inference(subst,[],[mckenzie1:[bind(X,$fot(meet(join(X,X_18),join(X_18,Z)))),bind(Y,$fot(X_17)),bind(Z,$fot(X_18))]]) ).
cnf(refute_0_122,plain,
meet(meet(join(X,X_18),join(X_18,Z)),X_18) = X_18,
inference(subst,[],[mckenzie4:[bind(Y,$fot(X_18))]]) ).
cnf(refute_0_123,plain,
( join(meet(join(X,X_18),join(X_18,Z)),meet(X_17,meet(meet(join(X,X_18),join(X_18,Z)),X_18))) != meet(join(X,X_18),join(X_18,Z))
| meet(meet(join(X,X_18),join(X_18,Z)),X_18) != X_18
| join(meet(join(X,X_18),join(X_18,Z)),meet(X_17,X_18)) = meet(join(X,X_18),join(X_18,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X,X_18),join(X_18,Z)),meet(X_17,meet(meet(join(X,X_18),join(X_18,Z)),X_18))),meet(join(X,X_18),join(X_18,Z))) ),[0,1,1],$fot(X_18)]]) ).
cnf(refute_0_124,plain,
( join(meet(join(X,X_18),join(X_18,Z)),meet(X_17,meet(meet(join(X,X_18),join(X_18,Z)),X_18))) != meet(join(X,X_18),join(X_18,Z))
| join(meet(join(X,X_18),join(X_18,Z)),meet(X_17,X_18)) = meet(join(X,X_18),join(X_18,Z)) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X,X_18),join(X_18,Z)),X_18),X_18) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
join(meet(join(X,X_18),join(X_18,Z)),meet(X_17,X_18)) = meet(join(X,X_18),join(X_18,Z)),
inference(resolve,[$cnf( $equal(join(meet(join(X,X_18),join(X_18,Z)),meet(X_17,meet(meet(join(X,X_18),join(X_18,Z)),X_18))),meet(join(X,X_18),join(X_18,Z))) )],[refute_0_121,refute_0_124]) ).
cnf(refute_0_126,plain,
join(meet(join(X_153,X_156),join(X_156,X_154)),meet(X_155,X_156)) = meet(join(X_153,X_156),join(X_156,X_154)),
inference(subst,[],[refute_0_125:[bind(X,$fot(X_153)),bind(Z,$fot(X_154)),bind(X_17,$fot(X_155)),bind(X_18,$fot(X_156))]]) ).
cnf(refute_0_127,plain,
join(X_156,X_153) = join(X_153,X_156),
inference(subst,[],[refute_0_102:[bind(X_100,$fot(X_156)),bind(X_101,$fot(X_153))]]) ).
cnf(refute_0_128,plain,
( join(X_156,X_153) != join(X_153,X_156)
| join(X_153,X_156) = join(X_156,X_153) ),
inference(subst,[],[refute_0_91:[bind(X0,$fot(join(X_156,X_153))),bind(Y0,$fot(join(X_153,X_156)))]]) ).
cnf(refute_0_129,plain,
join(X_153,X_156) = join(X_156,X_153),
inference(resolve,[$cnf( $equal(join(X_156,X_153),join(X_153,X_156)) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
( join(X_153,X_156) != join(X_156,X_153)
| join(meet(join(X_153,X_156),join(X_156,X_154)),meet(X_155,X_156)) != meet(join(X_153,X_156),join(X_156,X_154))
| join(meet(join(X_156,X_153),join(X_156,X_154)),meet(X_155,X_156)) = meet(join(X_153,X_156),join(X_156,X_154)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_153,X_156),join(X_156,X_154)),meet(X_155,X_156)),meet(join(X_153,X_156),join(X_156,X_154))) ),[0,0,0],$fot(join(X_156,X_153))]]) ).
cnf(refute_0_131,plain,
( join(meet(join(X_153,X_156),join(X_156,X_154)),meet(X_155,X_156)) != meet(join(X_153,X_156),join(X_156,X_154))
| join(meet(join(X_156,X_153),join(X_156,X_154)),meet(X_155,X_156)) = meet(join(X_153,X_156),join(X_156,X_154)) ),
inference(resolve,[$cnf( $equal(join(X_153,X_156),join(X_156,X_153)) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
join(meet(join(X_156,X_153),join(X_156,X_154)),meet(X_155,X_156)) = meet(join(X_153,X_156),join(X_156,X_154)),
inference(resolve,[$cnf( $equal(join(meet(join(X_153,X_156),join(X_156,X_154)),meet(X_155,X_156)),meet(join(X_153,X_156),join(X_156,X_154))) )],[refute_0_126,refute_0_131]) ).
cnf(refute_0_133,plain,
join(meet(join(Z,X_152),join(Z,X_151)),meet(Y,meet(meet(join(Z,X_152),join(Z,X_151)),Z))) = meet(join(Z,X_152),join(Z,X_151)),
inference(subst,[],[mckenzie1:[bind(X,$fot(meet(join(Z,X_152),join(Z,X_151))))]]) ).
cnf(refute_0_134,plain,
meet(meet(join(join(Y,X_44),Y),join(Y,Z)),Y) = Y,
inference(subst,[],[mckenzie4:[bind(X,$fot(join(Y,X_44)))]]) ).
cnf(refute_0_135,plain,
join(join(Y,X_44),Y) = join(Y,X_44),
inference(subst,[],[refute_0_15:[bind(Z,$fot(X_44)),bind(X_25,$fot(Y))]]) ).
cnf(refute_0_136,plain,
( join(join(Y,X_44),Y) != join(Y,X_44)
| meet(meet(join(join(Y,X_44),Y),join(Y,Z)),Y) != Y
| meet(meet(join(Y,X_44),join(Y,Z)),Y) = Y ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(join(Y,X_44),Y),join(Y,Z)),Y),Y) ),[0,0,0],$fot(join(Y,X_44))]]) ).
cnf(refute_0_137,plain,
( meet(meet(join(join(Y,X_44),Y),join(Y,Z)),Y) != Y
| meet(meet(join(Y,X_44),join(Y,Z)),Y) = Y ),
inference(resolve,[$cnf( $equal(join(join(Y,X_44),Y),join(Y,X_44)) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
meet(meet(join(Y,X_44),join(Y,Z)),Y) = Y,
inference(resolve,[$cnf( $equal(meet(meet(join(join(Y,X_44),Y),join(Y,Z)),Y),Y) )],[refute_0_134,refute_0_137]) ).
cnf(refute_0_139,plain,
meet(meet(join(Z,X_152),join(Z,X_151)),Z) = Z,
inference(subst,[],[refute_0_138:[bind(Y,$fot(Z)),bind(Z,$fot(X_151)),bind(X_44,$fot(X_152))]]) ).
cnf(refute_0_140,plain,
( join(meet(join(Z,X_152),join(Z,X_151)),meet(Y,meet(meet(join(Z,X_152),join(Z,X_151)),Z))) != meet(join(Z,X_152),join(Z,X_151))
| meet(meet(join(Z,X_152),join(Z,X_151)),Z) != Z
| join(meet(join(Z,X_152),join(Z,X_151)),meet(Y,Z)) = meet(join(Z,X_152),join(Z,X_151)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(Z,X_152),join(Z,X_151)),meet(Y,meet(meet(join(Z,X_152),join(Z,X_151)),Z))),meet(join(Z,X_152),join(Z,X_151))) ),[0,1,1],$fot(Z)]]) ).
cnf(refute_0_141,plain,
( join(meet(join(Z,X_152),join(Z,X_151)),meet(Y,meet(meet(join(Z,X_152),join(Z,X_151)),Z))) != meet(join(Z,X_152),join(Z,X_151))
| join(meet(join(Z,X_152),join(Z,X_151)),meet(Y,Z)) = meet(join(Z,X_152),join(Z,X_151)) ),
inference(resolve,[$cnf( $equal(meet(meet(join(Z,X_152),join(Z,X_151)),Z),Z) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
join(meet(join(Z,X_152),join(Z,X_151)),meet(Y,Z)) = meet(join(Z,X_152),join(Z,X_151)),
inference(resolve,[$cnf( $equal(join(meet(join(Z,X_152),join(Z,X_151)),meet(Y,meet(meet(join(Z,X_152),join(Z,X_151)),Z))),meet(join(Z,X_152),join(Z,X_151))) )],[refute_0_133,refute_0_141]) ).
cnf(refute_0_143,plain,
join(meet(join(X_156,X_153),join(X_156,X_154)),meet(X_155,X_156)) = meet(join(X_156,X_153),join(X_156,X_154)),
inference(subst,[],[refute_0_142:[bind(Y,$fot(X_155)),bind(Z,$fot(X_156)),bind(X_151,$fot(X_154)),bind(X_152,$fot(X_153))]]) ).
cnf(refute_0_144,plain,
( join(meet(join(X_156,X_153),join(X_156,X_154)),meet(X_155,X_156)) != meet(join(X_153,X_156),join(X_156,X_154))
| join(meet(join(X_156,X_153),join(X_156,X_154)),meet(X_155,X_156)) != meet(join(X_156,X_153),join(X_156,X_154))
| meet(join(X_156,X_153),join(X_156,X_154)) = meet(join(X_153,X_156),join(X_156,X_154)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_156,X_153),join(X_156,X_154)),meet(X_155,X_156)),meet(join(X_153,X_156),join(X_156,X_154))) ),[0],$fot(meet(join(X_156,X_153),join(X_156,X_154)))]]) ).
cnf(refute_0_145,plain,
( join(meet(join(X_156,X_153),join(X_156,X_154)),meet(X_155,X_156)) != meet(join(X_153,X_156),join(X_156,X_154))
| meet(join(X_156,X_153),join(X_156,X_154)) = meet(join(X_153,X_156),join(X_156,X_154)) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_156,X_153),join(X_156,X_154)),meet(X_155,X_156)),meet(join(X_156,X_153),join(X_156,X_154))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
meet(join(X_156,X_153),join(X_156,X_154)) = meet(join(X_153,X_156),join(X_156,X_154)),
inference(resolve,[$cnf( $equal(join(meet(join(X_156,X_153),join(X_156,X_154)),meet(X_155,X_156)),meet(join(X_153,X_156),join(X_156,X_154))) )],[refute_0_132,refute_0_145]) ).
cnf(refute_0_147,plain,
meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)) = meet(join(meet(X_299,X_300),meet(X_300,X_299)),join(meet(X_300,X_299),X_154)),
inference(subst,[],[refute_0_146:[bind(X_153,$fot(meet(X_299,X_300))),bind(X_156,$fot(meet(X_300,X_299)))]]) ).
cnf(refute_0_148,plain,
( join(meet(X_299,X_300),meet(X_300,X_299)) != meet(X_299,X_300)
| meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)) != meet(join(meet(X_299,X_300),meet(X_300,X_299)),join(meet(X_300,X_299),X_154))
| meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)) = meet(meet(X_299,X_300),join(meet(X_300,X_299),X_154)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)),meet(join(meet(X_299,X_300),meet(X_300,X_299)),join(meet(X_300,X_299),X_154))) ),[1,0],$fot(meet(X_299,X_300))]]) ).
cnf(refute_0_149,plain,
( meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)) != meet(join(meet(X_299,X_300),meet(X_300,X_299)),join(meet(X_300,X_299),X_154))
| meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)) = meet(meet(X_299,X_300),join(meet(X_300,X_299),X_154)) ),
inference(resolve,[$cnf( $equal(join(meet(X_299,X_300),meet(X_300,X_299)),meet(X_299,X_300)) )],[refute_0_117,refute_0_148]) ).
cnf(refute_0_150,plain,
meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)) = meet(meet(X_299,X_300),join(meet(X_300,X_299),X_154)),
inference(resolve,[$cnf( $equal(meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)),meet(join(meet(X_299,X_300),meet(X_300,X_299)),join(meet(X_300,X_299),X_154))) )],[refute_0_147,refute_0_149]) ).
cnf(refute_0_151,plain,
meet(meet(X_300,X_299),join(meet(X_300,X_299),X_154)) = meet(X_300,X_299),
inference(subst,[],[refute_0_11:[bind(X,$fot(meet(X_300,X_299))),bind(Z,$fot(X_154))]]) ).
cnf(refute_0_152,plain,
( meet(Z,X_10) != join(meet(Z,X_10),meet(X_10,Z))
| join(meet(Z,X_10),meet(X_10,Z)) = meet(Z,X_10) ),
inference(subst,[],[refute_0_91:[bind(X0,$fot(meet(Z,X_10))),bind(Y0,$fot(join(meet(Z,X_10),meet(X_10,Z))))]]) ).
cnf(refute_0_153,plain,
join(meet(Z,X_10),meet(X_10,Z)) = meet(Z,X_10),
inference(resolve,[$cnf( $equal(meet(Z,X_10),join(meet(Z,X_10),meet(X_10,Z))) )],[refute_0_114,refute_0_152]) ).
cnf(refute_0_154,plain,
join(meet(X_300,X_299),meet(X_299,X_300)) = meet(X_300,X_299),
inference(subst,[],[refute_0_153:[bind(Z,$fot(X_300)),bind(X_10,$fot(X_299))]]) ).
cnf(refute_0_155,plain,
meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)) = meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)),
introduced(tautology,[refl,[$fot(meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)))]]) ).
cnf(refute_0_156,plain,
( join(meet(X_300,X_299),meet(X_299,X_300)) != meet(X_300,X_299)
| meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)) != meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154))
| meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)) = meet(meet(X_300,X_299),join(meet(X_300,X_299),X_154)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)),meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154))) ),[1,0],$fot(meet(X_300,X_299))]]) ).
cnf(refute_0_157,plain,
( join(meet(X_300,X_299),meet(X_299,X_300)) != meet(X_300,X_299)
| meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)) = meet(meet(X_300,X_299),join(meet(X_300,X_299),X_154)) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)),meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)) = meet(meet(X_300,X_299),join(meet(X_300,X_299),X_154)),
inference(resolve,[$cnf( $equal(join(meet(X_300,X_299),meet(X_299,X_300)),meet(X_300,X_299)) )],[refute_0_154,refute_0_157]) ).
cnf(refute_0_159,plain,
( meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)) != meet(meet(X_300,X_299),join(meet(X_300,X_299),X_154))
| meet(meet(X_300,X_299),join(meet(X_300,X_299),X_154)) != meet(X_300,X_299)
| meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)) = meet(X_300,X_299) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)))),bind(Y0,$fot(meet(meet(X_300,X_299),join(meet(X_300,X_299),X_154)))),bind(Z0,$fot(meet(X_300,X_299)))]]) ).
cnf(refute_0_160,plain,
( meet(meet(X_300,X_299),join(meet(X_300,X_299),X_154)) != meet(X_300,X_299)
| meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)) = meet(X_300,X_299) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)),meet(meet(X_300,X_299),join(meet(X_300,X_299),X_154))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)) = meet(X_300,X_299),
inference(resolve,[$cnf( $equal(meet(meet(X_300,X_299),join(meet(X_300,X_299),X_154)),meet(X_300,X_299)) )],[refute_0_151,refute_0_160]) ).
cnf(refute_0_162,plain,
( meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)) != meet(X_300,X_299)
| meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)) != meet(meet(X_299,X_300),join(meet(X_300,X_299),X_154))
| meet(X_300,X_299) = meet(meet(X_299,X_300),join(meet(X_300,X_299),X_154)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)),meet(meet(X_299,X_300),join(meet(X_300,X_299),X_154))) ),[0],$fot(meet(X_300,X_299))]]) ).
cnf(refute_0_163,plain,
( meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)) != meet(meet(X_299,X_300),join(meet(X_300,X_299),X_154))
| meet(X_300,X_299) = meet(meet(X_299,X_300),join(meet(X_300,X_299),X_154)) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)),meet(X_300,X_299)) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
meet(X_300,X_299) = meet(meet(X_299,X_300),join(meet(X_300,X_299),X_154)),
inference(resolve,[$cnf( $equal(meet(join(meet(X_300,X_299),meet(X_299,X_300)),join(meet(X_300,X_299),X_154)),meet(meet(X_299,X_300),join(meet(X_300,X_299),X_154))) )],[refute_0_150,refute_0_163]) ).
cnf(refute_0_165,plain,
( meet(X_300,X_299) != meet(meet(X_299,X_300),join(meet(X_300,X_299),X_154))
| meet(meet(X_299,X_300),join(meet(X_300,X_299),X_154)) = meet(X_300,X_299) ),
inference(subst,[],[refute_0_91:[bind(X0,$fot(meet(X_300,X_299))),bind(Y0,$fot(meet(meet(X_299,X_300),join(meet(X_300,X_299),X_154))))]]) ).
cnf(refute_0_166,plain,
meet(meet(X_299,X_300),join(meet(X_300,X_299),X_154)) = meet(X_300,X_299),
inference(resolve,[$cnf( $equal(meet(X_300,X_299),meet(meet(X_299,X_300),join(meet(X_300,X_299),X_154))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
meet(meet(X_300,X_299),join(meet(X_299,X_300),X_96)) = meet(X_299,X_300),
inference(subst,[],[refute_0_166:[bind(X_154,$fot(X_96)),bind(X_299,$fot(X_300)),bind(X_300,$fot(X_299))]]) ).
cnf(refute_0_168,plain,
( meet(meet(X_300,X_299),join(meet(X_299,X_300),X_96)) != meet(X_299,X_300)
| meet(meet(X_300,X_299),join(meet(X_299,X_300),X_96)) != meet(X_300,X_299)
| meet(X_299,X_300) = meet(X_300,X_299) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_300,X_299),join(meet(X_299,X_300),X_96)),meet(X_300,X_299)) ),[0],$fot(meet(X_299,X_300))]]) ).
cnf(refute_0_169,plain,
( meet(meet(X_300,X_299),join(meet(X_299,X_300),X_96)) != meet(X_300,X_299)
| meet(X_299,X_300) = meet(X_300,X_299) ),
inference(resolve,[$cnf( $equal(meet(meet(X_300,X_299),join(meet(X_299,X_300),X_96)),meet(X_299,X_300)) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
meet(X_299,X_300) = meet(X_300,X_299),
inference(resolve,[$cnf( $equal(meet(meet(X_300,X_299),join(meet(X_299,X_300),X_96)),meet(X_300,X_299)) )],[refute_0_120,refute_0_169]) ).
cnf(refute_0_171,plain,
( meet(X_299,X_300) != meet(X_300,X_299)
| meet(X_300,X_299) = meet(X_299,X_300) ),
inference(subst,[],[refute_0_91:[bind(X0,$fot(meet(X_299,X_300))),bind(Y0,$fot(meet(X_300,X_299)))]]) ).
cnf(refute_0_172,plain,
meet(X_300,X_299) = meet(X_299,X_300),
inference(resolve,[$cnf( $equal(meet(X_299,X_300),meet(X_300,X_299)) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
meet(meet(a,b),c) = meet(c,meet(a,b)),
inference(subst,[],[refute_0_172:[bind(X_299,$fot(c)),bind(X_300,$fot(meet(a,b)))]]) ).
cnf(refute_0_174,plain,
( meet(c,meet(a,b)) != meet(a,meet(b,c))
| meet(meet(a,b),c) != meet(c,meet(a,b))
| meet(meet(a,b),c) = meet(a,meet(b,c)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(a,b),c),meet(c,meet(a,b))) ),[1],$fot(meet(a,meet(b,c)))]]) ).
cnf(refute_0_175,plain,
( meet(c,meet(a,b)) != meet(a,meet(b,c))
| meet(meet(a,b),c) = meet(a,meet(b,c)) ),
inference(resolve,[$cnf( $equal(meet(meet(a,b),c),meet(c,meet(a,b))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
meet(c,meet(a,b)) != meet(a,meet(b,c)),
inference(resolve,[$cnf( $equal(meet(meet(a,b),c),meet(a,meet(b,c))) )],[refute_0_175,prove_associativity_of_meet]) ).
cnf(refute_0_177,plain,
meet(meet(join(X,meet(X_20,Z)),join(meet(X_20,Z),Z)),meet(X_20,Z)) = meet(X_20,Z),
inference(subst,[],[mckenzie4:[bind(Y,$fot(meet(X_20,Z)))]]) ).
cnf(refute_0_178,plain,
join(meet(X_20,Z),Z) = Z,
inference(subst,[],[refute_0_25:[bind(X,$fot(X_20)),bind(Y,$fot(Z))]]) ).
cnf(refute_0_179,plain,
( join(meet(X_20,Z),Z) != Z
| meet(meet(join(X,meet(X_20,Z)),join(meet(X_20,Z),Z)),meet(X_20,Z)) != meet(X_20,Z)
| meet(meet(join(X,meet(X_20,Z)),Z),meet(X_20,Z)) = meet(X_20,Z) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X,meet(X_20,Z)),join(meet(X_20,Z),Z)),meet(X_20,Z)),meet(X_20,Z)) ),[0,0,1],$fot(Z)]]) ).
cnf(refute_0_180,plain,
( meet(meet(join(X,meet(X_20,Z)),join(meet(X_20,Z),Z)),meet(X_20,Z)) != meet(X_20,Z)
| meet(meet(join(X,meet(X_20,Z)),Z),meet(X_20,Z)) = meet(X_20,Z) ),
inference(resolve,[$cnf( $equal(join(meet(X_20,Z),Z),Z) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
meet(meet(join(X,meet(X_20,Z)),Z),meet(X_20,Z)) = meet(X_20,Z),
inference(resolve,[$cnf( $equal(meet(meet(join(X,meet(X_20,Z)),join(meet(X_20,Z),Z)),meet(X_20,Z)),meet(X_20,Z)) )],[refute_0_177,refute_0_180]) ).
cnf(refute_0_182,plain,
meet(meet(join(X_126,meet(meet(X_25,X_126),X_127)),X_127),meet(meet(X_25,X_126),X_127)) = meet(meet(X_25,X_126),X_127),
inference(subst,[],[refute_0_181:[bind(X,$fot(X_126)),bind(Z,$fot(X_127)),bind(X_20,$fot(meet(X_25,X_126)))]]) ).
cnf(refute_0_183,plain,
join(X,meet(meet(meet(X,Z),X_33),meet(X,Z))) = X,
inference(subst,[],[mckenzie1:[bind(Y,$fot(meet(meet(X,Z),X_33)))]]) ).
cnf(refute_0_184,plain,
meet(meet(Y,X_27),join(Y,meet(Y,X_27))) = meet(Y,X_27),
inference(subst,[],[refute_0_31:[bind(X,$fot(meet(Y,X_27)))]]) ).
cnf(refute_0_185,plain,
join(X_16,meet(join(X_8,meet(X_16,X_18)),meet(X_16,X_18))) = X_16,
inference(subst,[],[mckenzie1:[bind(X,$fot(X_16)),bind(Y,$fot(join(X_8,meet(X_16,X_18)))),bind(Z,$fot(X_18))]]) ).
cnf(refute_0_186,plain,
meet(join(X_8,meet(X_16,X_18)),meet(X_16,X_18)) = meet(X_16,X_18),
inference(subst,[],[refute_0_64:[bind(X_9,$fot(meet(X_16,X_18)))]]) ).
cnf(refute_0_187,plain,
( join(X_16,meet(join(X_8,meet(X_16,X_18)),meet(X_16,X_18))) != X_16
| meet(join(X_8,meet(X_16,X_18)),meet(X_16,X_18)) != meet(X_16,X_18)
| join(X_16,meet(X_16,X_18)) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_16,meet(join(X_8,meet(X_16,X_18)),meet(X_16,X_18))),X_16) ),[0,1],$fot(meet(X_16,X_18))]]) ).
cnf(refute_0_188,plain,
( join(X_16,meet(join(X_8,meet(X_16,X_18)),meet(X_16,X_18))) != X_16
| join(X_16,meet(X_16,X_18)) = X_16 ),
inference(resolve,[$cnf( $equal(meet(join(X_8,meet(X_16,X_18)),meet(X_16,X_18)),meet(X_16,X_18)) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
join(X_16,meet(X_16,X_18)) = X_16,
inference(resolve,[$cnf( $equal(join(X_16,meet(join(X_8,meet(X_16,X_18)),meet(X_16,X_18))),X_16) )],[refute_0_185,refute_0_188]) ).
cnf(refute_0_190,plain,
join(Y,meet(Y,X_27)) = Y,
inference(subst,[],[refute_0_189:[bind(X_16,$fot(Y)),bind(X_18,$fot(X_27))]]) ).
cnf(refute_0_191,plain,
( join(Y,meet(Y,X_27)) != Y
| meet(meet(Y,X_27),join(Y,meet(Y,X_27))) != meet(Y,X_27)
| meet(meet(Y,X_27),Y) = meet(Y,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(Y,X_27),join(Y,meet(Y,X_27))),meet(Y,X_27)) ),[0,1],$fot(Y)]]) ).
cnf(refute_0_192,plain,
( meet(meet(Y,X_27),join(Y,meet(Y,X_27))) != meet(Y,X_27)
| meet(meet(Y,X_27),Y) = meet(Y,X_27) ),
inference(resolve,[$cnf( $equal(join(Y,meet(Y,X_27)),Y) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
meet(meet(Y,X_27),Y) = meet(Y,X_27),
inference(resolve,[$cnf( $equal(meet(meet(Y,X_27),join(Y,meet(Y,X_27))),meet(Y,X_27)) )],[refute_0_184,refute_0_192]) ).
cnf(refute_0_194,plain,
meet(meet(meet(X,Z),X_33),meet(X,Z)) = meet(meet(X,Z),X_33),
inference(subst,[],[refute_0_193:[bind(Y,$fot(meet(X,Z))),bind(X_27,$fot(X_33))]]) ).
cnf(refute_0_195,plain,
( join(X,meet(meet(meet(X,Z),X_33),meet(X,Z))) != X
| meet(meet(meet(X,Z),X_33),meet(X,Z)) != meet(meet(X,Z),X_33)
| join(X,meet(meet(X,Z),X_33)) = X ),
introduced(tautology,[equality,[$cnf( $equal(join(X,meet(meet(meet(X,Z),X_33),meet(X,Z))),X) ),[0,1],$fot(meet(meet(X,Z),X_33))]]) ).
cnf(refute_0_196,plain,
( join(X,meet(meet(meet(X,Z),X_33),meet(X,Z))) != X
| join(X,meet(meet(X,Z),X_33)) = X ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X,Z),X_33),meet(X,Z)),meet(meet(X,Z),X_33)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
join(X,meet(meet(X,Z),X_33)) = X,
inference(resolve,[$cnf( $equal(join(X,meet(meet(meet(X,Z),X_33),meet(X,Z))),X) )],[refute_0_183,refute_0_196]) ).
cnf(refute_0_198,plain,
join(X_54,meet(meet(X_54,meet(X_25,X_54)),X_56)) = X_54,
inference(subst,[],[refute_0_197:[bind(X,$fot(X_54)),bind(Z,$fot(meet(X_25,X_54))),bind(X_33,$fot(X_56))]]) ).
cnf(refute_0_199,plain,
meet(X_54,meet(X_25,X_54)) = meet(X_25,X_54),
inference(subst,[],[refute_0_69:[bind(X_8,$fot(X_54))]]) ).
cnf(refute_0_200,plain,
( join(X_54,meet(meet(X_54,meet(X_25,X_54)),X_56)) != X_54
| meet(X_54,meet(X_25,X_54)) != meet(X_25,X_54)
| join(X_54,meet(meet(X_25,X_54),X_56)) = X_54 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_54,meet(meet(X_54,meet(X_25,X_54)),X_56)),X_54) ),[0,1,0],$fot(meet(X_25,X_54))]]) ).
cnf(refute_0_201,plain,
( join(X_54,meet(meet(X_54,meet(X_25,X_54)),X_56)) != X_54
| join(X_54,meet(meet(X_25,X_54),X_56)) = X_54 ),
inference(resolve,[$cnf( $equal(meet(X_54,meet(X_25,X_54)),meet(X_25,X_54)) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
join(X_54,meet(meet(X_25,X_54),X_56)) = X_54,
inference(resolve,[$cnf( $equal(join(X_54,meet(meet(X_54,meet(X_25,X_54)),X_56)),X_54) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
join(X_126,meet(meet(X_25,X_126),X_127)) = X_126,
inference(subst,[],[refute_0_202:[bind(X_54,$fot(X_126)),bind(X_56,$fot(X_127))]]) ).
cnf(refute_0_204,plain,
( join(X_126,meet(meet(X_25,X_126),X_127)) != X_126
| meet(meet(join(X_126,meet(meet(X_25,X_126),X_127)),X_127),meet(meet(X_25,X_126),X_127)) != meet(meet(X_25,X_126),X_127)
| meet(meet(X_126,X_127),meet(meet(X_25,X_126),X_127)) = meet(meet(X_25,X_126),X_127) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_126,meet(meet(X_25,X_126),X_127)),X_127),meet(meet(X_25,X_126),X_127)),meet(meet(X_25,X_126),X_127)) ),[0,0,0],$fot(X_126)]]) ).
cnf(refute_0_205,plain,
( meet(meet(join(X_126,meet(meet(X_25,X_126),X_127)),X_127),meet(meet(X_25,X_126),X_127)) != meet(meet(X_25,X_126),X_127)
| meet(meet(X_126,X_127),meet(meet(X_25,X_126),X_127)) = meet(meet(X_25,X_126),X_127) ),
inference(resolve,[$cnf( $equal(join(X_126,meet(meet(X_25,X_126),X_127)),X_126) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
meet(meet(X_126,X_127),meet(meet(X_25,X_126),X_127)) = meet(meet(X_25,X_126),X_127),
inference(resolve,[$cnf( $equal(meet(meet(join(X_126,meet(meet(X_25,X_126),X_127)),X_127),meet(meet(X_25,X_126),X_127)),meet(meet(X_25,X_126),X_127)) )],[refute_0_182,refute_0_205]) ).
cnf(refute_0_207,plain,
meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25))) = meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25)),
inference(subst,[],[refute_0_206:[bind(X_127,$fot(meet(join(X_483,X_126),X_25)))]]) ).
cnf(refute_0_208,plain,
meet(meet(join(X,meet(Z,X_30)),join(meet(Z,X_30),Z)),meet(Z,X_30)) = meet(Z,X_30),
inference(subst,[],[mckenzie4:[bind(Y,$fot(meet(Z,X_30)))]]) ).
cnf(refute_0_209,plain,
join(meet(X_29,X_18),join(X_29,meet(X_29,X_18))) = join(X_29,meet(X_29,X_18)),
inference(subst,[],[refute_0_35:[bind(X,$fot(meet(X_29,X_18))),bind(X_23,$fot(X_29))]]) ).
cnf(refute_0_210,plain,
join(X_29,meet(X_29,X_18)) = X_29,
inference(subst,[],[refute_0_189:[bind(X_16,$fot(X_29))]]) ).
cnf(refute_0_211,plain,
( join(X_29,meet(X_29,X_18)) != X_29
| join(meet(X_29,X_18),join(X_29,meet(X_29,X_18))) != join(X_29,meet(X_29,X_18))
| join(meet(X_29,X_18),X_29) = join(X_29,meet(X_29,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_29,X_18),join(X_29,meet(X_29,X_18))),join(X_29,meet(X_29,X_18))) ),[0,1],$fot(X_29)]]) ).
cnf(refute_0_212,plain,
( join(meet(X_29,X_18),join(X_29,meet(X_29,X_18))) != join(X_29,meet(X_29,X_18))
| join(meet(X_29,X_18),X_29) = join(X_29,meet(X_29,X_18)) ),
inference(resolve,[$cnf( $equal(join(X_29,meet(X_29,X_18)),X_29) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
join(meet(X_29,X_18),X_29) = join(X_29,meet(X_29,X_18)),
inference(resolve,[$cnf( $equal(join(meet(X_29,X_18),join(X_29,meet(X_29,X_18))),join(X_29,meet(X_29,X_18))) )],[refute_0_209,refute_0_212]) ).
cnf(refute_0_214,plain,
( join(X_29,meet(X_29,X_18)) != X_29
| join(meet(X_29,X_18),X_29) != join(X_29,meet(X_29,X_18))
| join(meet(X_29,X_18),X_29) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_29,X_18),X_29),join(X_29,meet(X_29,X_18))) ),[1],$fot(X_29)]]) ).
cnf(refute_0_215,plain,
( join(meet(X_29,X_18),X_29) != join(X_29,meet(X_29,X_18))
| join(meet(X_29,X_18),X_29) = X_29 ),
inference(resolve,[$cnf( $equal(join(X_29,meet(X_29,X_18)),X_29) )],[refute_0_210,refute_0_214]) ).
cnf(refute_0_216,plain,
join(meet(X_29,X_18),X_29) = X_29,
inference(resolve,[$cnf( $equal(join(meet(X_29,X_18),X_29),join(X_29,meet(X_29,X_18))) )],[refute_0_213,refute_0_215]) ).
cnf(refute_0_217,plain,
join(meet(Z,X_30),Z) = Z,
inference(subst,[],[refute_0_216:[bind(X_18,$fot(X_30)),bind(X_29,$fot(Z))]]) ).
cnf(refute_0_218,plain,
( join(meet(Z,X_30),Z) != Z
| meet(meet(join(X,meet(Z,X_30)),join(meet(Z,X_30),Z)),meet(Z,X_30)) != meet(Z,X_30)
| meet(meet(join(X,meet(Z,X_30)),Z),meet(Z,X_30)) = meet(Z,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X,meet(Z,X_30)),join(meet(Z,X_30),Z)),meet(Z,X_30)),meet(Z,X_30)) ),[0,0,1],$fot(Z)]]) ).
cnf(refute_0_219,plain,
( meet(meet(join(X,meet(Z,X_30)),join(meet(Z,X_30),Z)),meet(Z,X_30)) != meet(Z,X_30)
| meet(meet(join(X,meet(Z,X_30)),Z),meet(Z,X_30)) = meet(Z,X_30) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X_30),Z),Z) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
meet(meet(join(X,meet(Z,X_30)),Z),meet(Z,X_30)) = meet(Z,X_30),
inference(resolve,[$cnf( $equal(meet(meet(join(X,meet(Z,X_30)),join(meet(Z,X_30),Z)),meet(Z,X_30)),meet(Z,X_30)) )],[refute_0_208,refute_0_219]) ).
cnf(refute_0_221,plain,
meet(meet(join(join(X_8,X_264),meet(X_263,X_264)),X_263),meet(X_263,X_264)) = meet(X_263,X_264),
inference(subst,[],[refute_0_220:[bind(X,$fot(join(X_8,X_264))),bind(Z,$fot(X_263)),bind(X_30,$fot(X_264))]]) ).
cnf(refute_0_222,plain,
join(join(X_8,X_18),meet(X_17,meet(join(X_8,X_18),X_18))) = join(X_8,X_18),
inference(subst,[],[mckenzie1:[bind(X,$fot(join(X_8,X_18))),bind(Y,$fot(X_17)),bind(Z,$fot(X_18))]]) ).
cnf(refute_0_223,plain,
meet(join(X_8,X_18),X_18) = X_18,
inference(subst,[],[refute_0_64:[bind(X_9,$fot(X_18))]]) ).
cnf(refute_0_224,plain,
( join(join(X_8,X_18),meet(X_17,meet(join(X_8,X_18),X_18))) != join(X_8,X_18)
| meet(join(X_8,X_18),X_18) != X_18
| join(join(X_8,X_18),meet(X_17,X_18)) = join(X_8,X_18) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_8,X_18),meet(X_17,meet(join(X_8,X_18),X_18))),join(X_8,X_18)) ),[0,1,1],$fot(X_18)]]) ).
cnf(refute_0_225,plain,
( join(join(X_8,X_18),meet(X_17,meet(join(X_8,X_18),X_18))) != join(X_8,X_18)
| join(join(X_8,X_18),meet(X_17,X_18)) = join(X_8,X_18) ),
inference(resolve,[$cnf( $equal(meet(join(X_8,X_18),X_18),X_18) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
join(join(X_8,X_18),meet(X_17,X_18)) = join(X_8,X_18),
inference(resolve,[$cnf( $equal(join(join(X_8,X_18),meet(X_17,meet(join(X_8,X_18),X_18))),join(X_8,X_18)) )],[refute_0_222,refute_0_225]) ).
cnf(refute_0_227,plain,
join(join(X_8,X_264),meet(X_263,X_264)) = join(X_8,X_264),
inference(subst,[],[refute_0_226:[bind(X_17,$fot(X_263)),bind(X_18,$fot(X_264))]]) ).
cnf(refute_0_228,plain,
( join(join(X_8,X_264),meet(X_263,X_264)) != join(X_8,X_264)
| meet(meet(join(join(X_8,X_264),meet(X_263,X_264)),X_263),meet(X_263,X_264)) != meet(X_263,X_264)
| meet(meet(join(X_8,X_264),X_263),meet(X_263,X_264)) = meet(X_263,X_264) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(join(X_8,X_264),meet(X_263,X_264)),X_263),meet(X_263,X_264)),meet(X_263,X_264)) ),[0,0,0],$fot(join(X_8,X_264))]]) ).
cnf(refute_0_229,plain,
( meet(meet(join(join(X_8,X_264),meet(X_263,X_264)),X_263),meet(X_263,X_264)) != meet(X_263,X_264)
| meet(meet(join(X_8,X_264),X_263),meet(X_263,X_264)) = meet(X_263,X_264) ),
inference(resolve,[$cnf( $equal(join(join(X_8,X_264),meet(X_263,X_264)),join(X_8,X_264)) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
meet(meet(join(X_8,X_264),X_263),meet(X_263,X_264)) = meet(X_263,X_264),
inference(resolve,[$cnf( $equal(meet(meet(join(join(X_8,X_264),meet(X_263,X_264)),X_263),meet(X_263,X_264)),meet(X_263,X_264)) )],[refute_0_221,refute_0_229]) ).
cnf(refute_0_231,plain,
meet(meet(join(X_8,X_264),X_263),meet(X_263,X_264)) = meet(meet(X_263,X_264),meet(join(X_8,X_264),X_263)),
inference(subst,[],[refute_0_172:[bind(X_299,$fot(meet(X_263,X_264))),bind(X_300,$fot(meet(join(X_8,X_264),X_263)))]]) ).
cnf(refute_0_232,plain,
( meet(meet(join(X_8,X_264),X_263),meet(X_263,X_264)) != meet(X_263,X_264)
| meet(meet(join(X_8,X_264),X_263),meet(X_263,X_264)) != meet(meet(X_263,X_264),meet(join(X_8,X_264),X_263))
| meet(meet(X_263,X_264),meet(join(X_8,X_264),X_263)) = meet(X_263,X_264) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_8,X_264),X_263),meet(X_263,X_264)),meet(X_263,X_264)) ),[0],$fot(meet(meet(X_263,X_264),meet(join(X_8,X_264),X_263)))]]) ).
cnf(refute_0_233,plain,
( meet(meet(join(X_8,X_264),X_263),meet(X_263,X_264)) != meet(X_263,X_264)
| meet(meet(X_263,X_264),meet(join(X_8,X_264),X_263)) = meet(X_263,X_264) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_8,X_264),X_263),meet(X_263,X_264)),meet(meet(X_263,X_264),meet(join(X_8,X_264),X_263))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
meet(meet(X_263,X_264),meet(join(X_8,X_264),X_263)) = meet(X_263,X_264),
inference(resolve,[$cnf( $equal(meet(meet(join(X_8,X_264),X_263),meet(X_263,X_264)),meet(X_263,X_264)) )],[refute_0_230,refute_0_233]) ).
cnf(refute_0_235,plain,
meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25)) = meet(X_25,X_126),
inference(subst,[],[refute_0_234:[bind(X_263,$fot(X_25)),bind(X_264,$fot(X_126)),bind(X_8,$fot(X_483))]]) ).
cnf(refute_0_236,plain,
( meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25))) != meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25))
| meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25)) != meet(X_25,X_126)
| meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(X_25,X_126)) = meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25))),meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25))) ),[0,1],$fot(meet(X_25,X_126))]]) ).
cnf(refute_0_237,plain,
( meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25))) != meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25))
| meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(X_25,X_126)) = meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25)),meet(X_25,X_126)) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(X_25,X_126)) = meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25)),
inference(resolve,[$cnf( $equal(meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25))),meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25))) )],[refute_0_207,refute_0_237]) ).
cnf(refute_0_239,plain,
meet(meet(join(X,meet(X,X_27)),join(meet(X,X_27),Z)),meet(X,X_27)) = meet(X,X_27),
inference(subst,[],[mckenzie4:[bind(Y,$fot(meet(X,X_27)))]]) ).
cnf(refute_0_240,plain,
join(X,meet(X,X_27)) = X,
inference(subst,[],[refute_0_189:[bind(X_16,$fot(X)),bind(X_18,$fot(X_27))]]) ).
cnf(refute_0_241,plain,
( join(X,meet(X,X_27)) != X
| meet(meet(join(X,meet(X,X_27)),join(meet(X,X_27),Z)),meet(X,X_27)) != meet(X,X_27)
| meet(meet(X,join(meet(X,X_27),Z)),meet(X,X_27)) = meet(X,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X,meet(X,X_27)),join(meet(X,X_27),Z)),meet(X,X_27)),meet(X,X_27)) ),[0,0,0],$fot(X)]]) ).
cnf(refute_0_242,plain,
( meet(meet(join(X,meet(X,X_27)),join(meet(X,X_27),Z)),meet(X,X_27)) != meet(X,X_27)
| meet(meet(X,join(meet(X,X_27),Z)),meet(X,X_27)) = meet(X,X_27) ),
inference(resolve,[$cnf( $equal(join(X,meet(X,X_27)),X) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
meet(meet(X,join(meet(X,X_27),Z)),meet(X,X_27)) = meet(X,X_27),
inference(resolve,[$cnf( $equal(meet(meet(join(X,meet(X,X_27)),join(meet(X,X_27),Z)),meet(X,X_27)),meet(X,X_27)) )],[refute_0_239,refute_0_242]) ).
cnf(refute_0_244,plain,
meet(meet(X,join(meet(X,X_27),join(X_169,X_27))),meet(X,X_27)) = meet(X,X_27),
inference(subst,[],[refute_0_243:[bind(Z,$fot(join(X_169,X_27)))]]) ).
cnf(refute_0_245,plain,
join(meet(X_49,X_50),join(join(X_51,X_50),meet(X_49,X_50))) = join(join(X_51,X_50),meet(X_49,X_50)),
inference(subst,[],[refute_0_35:[bind(X,$fot(meet(X_49,X_50))),bind(X_23,$fot(join(X_51,X_50)))]]) ).
cnf(refute_0_246,plain,
join(join(X_51,X_50),meet(X_49,X_50)) = join(X_51,X_50),
inference(subst,[],[refute_0_226:[bind(X_17,$fot(X_49)),bind(X_18,$fot(X_50)),bind(X_8,$fot(X_51))]]) ).
cnf(refute_0_247,plain,
( join(join(X_51,X_50),meet(X_49,X_50)) != join(X_51,X_50)
| join(meet(X_49,X_50),join(join(X_51,X_50),meet(X_49,X_50))) != join(join(X_51,X_50),meet(X_49,X_50))
| join(meet(X_49,X_50),join(X_51,X_50)) = join(join(X_51,X_50),meet(X_49,X_50)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_49,X_50),join(join(X_51,X_50),meet(X_49,X_50))),join(join(X_51,X_50),meet(X_49,X_50))) ),[0,1],$fot(join(X_51,X_50))]]) ).
cnf(refute_0_248,plain,
( join(meet(X_49,X_50),join(join(X_51,X_50),meet(X_49,X_50))) != join(join(X_51,X_50),meet(X_49,X_50))
| join(meet(X_49,X_50),join(X_51,X_50)) = join(join(X_51,X_50),meet(X_49,X_50)) ),
inference(resolve,[$cnf( $equal(join(join(X_51,X_50),meet(X_49,X_50)),join(X_51,X_50)) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
join(meet(X_49,X_50),join(X_51,X_50)) = join(join(X_51,X_50),meet(X_49,X_50)),
inference(resolve,[$cnf( $equal(join(meet(X_49,X_50),join(join(X_51,X_50),meet(X_49,X_50))),join(join(X_51,X_50),meet(X_49,X_50))) )],[refute_0_245,refute_0_248]) ).
cnf(refute_0_250,plain,
( join(join(X_51,X_50),meet(X_49,X_50)) != join(X_51,X_50)
| join(meet(X_49,X_50),join(X_51,X_50)) != join(join(X_51,X_50),meet(X_49,X_50))
| join(meet(X_49,X_50),join(X_51,X_50)) = join(X_51,X_50) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_49,X_50),join(X_51,X_50)),join(join(X_51,X_50),meet(X_49,X_50))) ),[1],$fot(join(X_51,X_50))]]) ).
cnf(refute_0_251,plain,
( join(meet(X_49,X_50),join(X_51,X_50)) != join(join(X_51,X_50),meet(X_49,X_50))
| join(meet(X_49,X_50),join(X_51,X_50)) = join(X_51,X_50) ),
inference(resolve,[$cnf( $equal(join(join(X_51,X_50),meet(X_49,X_50)),join(X_51,X_50)) )],[refute_0_246,refute_0_250]) ).
cnf(refute_0_252,plain,
join(meet(X_49,X_50),join(X_51,X_50)) = join(X_51,X_50),
inference(resolve,[$cnf( $equal(join(meet(X_49,X_50),join(X_51,X_50)),join(join(X_51,X_50),meet(X_49,X_50))) )],[refute_0_249,refute_0_251]) ).
cnf(refute_0_253,plain,
join(meet(X,X_27),join(X_169,X_27)) = join(X_169,X_27),
inference(subst,[],[refute_0_252:[bind(X_49,$fot(X)),bind(X_50,$fot(X_27)),bind(X_51,$fot(X_169))]]) ).
cnf(refute_0_254,plain,
( join(meet(X,X_27),join(X_169,X_27)) != join(X_169,X_27)
| meet(meet(X,join(meet(X,X_27),join(X_169,X_27))),meet(X,X_27)) != meet(X,X_27)
| meet(meet(X,join(X_169,X_27)),meet(X,X_27)) = meet(X,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,join(meet(X,X_27),join(X_169,X_27))),meet(X,X_27)),meet(X,X_27)) ),[0,0,1],$fot(join(X_169,X_27))]]) ).
cnf(refute_0_255,plain,
( meet(meet(X,join(meet(X,X_27),join(X_169,X_27))),meet(X,X_27)) != meet(X,X_27)
| meet(meet(X,join(X_169,X_27)),meet(X,X_27)) = meet(X,X_27) ),
inference(resolve,[$cnf( $equal(join(meet(X,X_27),join(X_169,X_27)),join(X_169,X_27)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
meet(meet(X,join(X_169,X_27)),meet(X,X_27)) = meet(X,X_27),
inference(resolve,[$cnf( $equal(meet(meet(X,join(meet(X,X_27),join(X_169,X_27))),meet(X,X_27)),meet(X,X_27)) )],[refute_0_244,refute_0_255]) ).
cnf(refute_0_257,plain,
meet(meet(X_211,join(X_212,meet(X_17,X_212))),meet(X_211,meet(X_17,X_212))) = meet(X_211,meet(X_17,X_212)),
inference(subst,[],[refute_0_256:[bind(X,$fot(X_211)),bind(X_169,$fot(X_212)),bind(X_27,$fot(meet(X_17,X_212)))]]) ).
cnf(refute_0_258,plain,
join(X_212,meet(X_17,X_212)) = X_212,
inference(subst,[],[refute_0_5:[bind(X_16,$fot(X_212))]]) ).
cnf(refute_0_259,plain,
( join(X_212,meet(X_17,X_212)) != X_212
| meet(meet(X_211,join(X_212,meet(X_17,X_212))),meet(X_211,meet(X_17,X_212))) != meet(X_211,meet(X_17,X_212))
| meet(meet(X_211,X_212),meet(X_211,meet(X_17,X_212))) = meet(X_211,meet(X_17,X_212)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_211,join(X_212,meet(X_17,X_212))),meet(X_211,meet(X_17,X_212))),meet(X_211,meet(X_17,X_212))) ),[0,0,1],$fot(X_212)]]) ).
cnf(refute_0_260,plain,
( meet(meet(X_211,join(X_212,meet(X_17,X_212))),meet(X_211,meet(X_17,X_212))) != meet(X_211,meet(X_17,X_212))
| meet(meet(X_211,X_212),meet(X_211,meet(X_17,X_212))) = meet(X_211,meet(X_17,X_212)) ),
inference(resolve,[$cnf( $equal(join(X_212,meet(X_17,X_212)),X_212) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
meet(meet(X_211,X_212),meet(X_211,meet(X_17,X_212))) = meet(X_211,meet(X_17,X_212)),
inference(resolve,[$cnf( $equal(meet(meet(X_211,join(X_212,meet(X_17,X_212))),meet(X_211,meet(X_17,X_212))),meet(X_211,meet(X_17,X_212))) )],[refute_0_257,refute_0_260]) ).
cnf(refute_0_262,plain,
meet(meet(X_126,X_25),meet(X_126,meet(join(X_483,X_126),X_25))) = meet(X_126,meet(join(X_483,X_126),X_25)),
inference(subst,[],[refute_0_261:[bind(X_17,$fot(join(X_483,X_126))),bind(X_211,$fot(X_126)),bind(X_212,$fot(X_25))]]) ).
cnf(refute_0_263,plain,
meet(X_299,meet(X_463,X_465)) = meet(meet(X_463,X_465),X_299),
inference(subst,[],[refute_0_170:[bind(X_300,$fot(meet(X_463,X_465)))]]) ).
cnf(refute_0_264,plain,
meet(meet(X_336,X_337),meet(meet(X_338,X_336),X_337)) = meet(meet(X_338,X_336),X_337),
inference(subst,[],[refute_0_206:[bind(X_126,$fot(X_336)),bind(X_127,$fot(X_337)),bind(X_25,$fot(X_338))]]) ).
cnf(refute_0_265,plain,
meet(X_336,X_338) = meet(X_338,X_336),
inference(subst,[],[refute_0_170:[bind(X_299,$fot(X_336)),bind(X_300,$fot(X_338))]]) ).
cnf(refute_0_266,plain,
( meet(X_336,X_338) != meet(X_338,X_336)
| meet(X_338,X_336) = meet(X_336,X_338) ),
inference(subst,[],[refute_0_91:[bind(X0,$fot(meet(X_336,X_338))),bind(Y0,$fot(meet(X_338,X_336)))]]) ).
cnf(refute_0_267,plain,
meet(X_338,X_336) = meet(X_336,X_338),
inference(resolve,[$cnf( $equal(meet(X_336,X_338),meet(X_338,X_336)) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
( meet(X_338,X_336) != meet(X_336,X_338)
| meet(meet(X_336,X_337),meet(meet(X_338,X_336),X_337)) != meet(meet(X_338,X_336),X_337)
| meet(meet(X_336,X_337),meet(meet(X_336,X_338),X_337)) = meet(meet(X_338,X_336),X_337) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_336,X_337),meet(meet(X_338,X_336),X_337)),meet(meet(X_338,X_336),X_337)) ),[0,1,0],$fot(meet(X_336,X_338))]]) ).
cnf(refute_0_269,plain,
( meet(meet(X_336,X_337),meet(meet(X_338,X_336),X_337)) != meet(meet(X_338,X_336),X_337)
| meet(meet(X_336,X_337),meet(meet(X_336,X_338),X_337)) = meet(meet(X_338,X_336),X_337) ),
inference(resolve,[$cnf( $equal(meet(X_338,X_336),meet(X_336,X_338)) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
meet(meet(X_336,X_337),meet(meet(X_336,X_338),X_337)) = meet(meet(X_338,X_336),X_337),
inference(resolve,[$cnf( $equal(meet(meet(X_336,X_337),meet(meet(X_338,X_336),X_337)),meet(meet(X_338,X_336),X_337)) )],[refute_0_264,refute_0_269]) ).
cnf(refute_0_271,plain,
meet(meet(join(X_126,meet(meet(X_126,Z),X_127)),X_127),meet(meet(X_126,Z),X_127)) = meet(meet(X_126,Z),X_127),
inference(subst,[],[refute_0_181:[bind(X,$fot(X_126)),bind(Z,$fot(X_127)),bind(X_20,$fot(meet(X_126,Z)))]]) ).
cnf(refute_0_272,plain,
join(X_126,meet(meet(X_126,Z),X_127)) = X_126,
inference(subst,[],[refute_0_197:[bind(X,$fot(X_126)),bind(X_33,$fot(X_127))]]) ).
cnf(refute_0_273,plain,
( join(X_126,meet(meet(X_126,Z),X_127)) != X_126
| meet(meet(join(X_126,meet(meet(X_126,Z),X_127)),X_127),meet(meet(X_126,Z),X_127)) != meet(meet(X_126,Z),X_127)
| meet(meet(X_126,X_127),meet(meet(X_126,Z),X_127)) = meet(meet(X_126,Z),X_127) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_126,meet(meet(X_126,Z),X_127)),X_127),meet(meet(X_126,Z),X_127)),meet(meet(X_126,Z),X_127)) ),[0,0,0],$fot(X_126)]]) ).
cnf(refute_0_274,plain,
( meet(meet(join(X_126,meet(meet(X_126,Z),X_127)),X_127),meet(meet(X_126,Z),X_127)) != meet(meet(X_126,Z),X_127)
| meet(meet(X_126,X_127),meet(meet(X_126,Z),X_127)) = meet(meet(X_126,Z),X_127) ),
inference(resolve,[$cnf( $equal(join(X_126,meet(meet(X_126,Z),X_127)),X_126) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
meet(meet(X_126,X_127),meet(meet(X_126,Z),X_127)) = meet(meet(X_126,Z),X_127),
inference(resolve,[$cnf( $equal(meet(meet(join(X_126,meet(meet(X_126,Z),X_127)),X_127),meet(meet(X_126,Z),X_127)),meet(meet(X_126,Z),X_127)) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
meet(meet(X_336,X_337),meet(meet(X_336,X_338),X_337)) = meet(meet(X_336,X_338),X_337),
inference(subst,[],[refute_0_275:[bind(Z,$fot(X_338)),bind(X_126,$fot(X_336)),bind(X_127,$fot(X_337))]]) ).
cnf(refute_0_277,plain,
( meet(meet(X_336,X_337),meet(meet(X_336,X_338),X_337)) != meet(meet(X_336,X_338),X_337)
| meet(meet(X_336,X_337),meet(meet(X_336,X_338),X_337)) != meet(meet(X_338,X_336),X_337)
| meet(meet(X_336,X_338),X_337) = meet(meet(X_338,X_336),X_337) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_336,X_337),meet(meet(X_336,X_338),X_337)),meet(meet(X_338,X_336),X_337)) ),[0],$fot(meet(meet(X_336,X_338),X_337))]]) ).
cnf(refute_0_278,plain,
( meet(meet(X_336,X_337),meet(meet(X_336,X_338),X_337)) != meet(meet(X_338,X_336),X_337)
| meet(meet(X_336,X_338),X_337) = meet(meet(X_338,X_336),X_337) ),
inference(resolve,[$cnf( $equal(meet(meet(X_336,X_337),meet(meet(X_336,X_338),X_337)),meet(meet(X_336,X_338),X_337)) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
meet(meet(X_336,X_338),X_337) = meet(meet(X_338,X_336),X_337),
inference(resolve,[$cnf( $equal(meet(meet(X_336,X_337),meet(meet(X_336,X_338),X_337)),meet(meet(X_338,X_336),X_337)) )],[refute_0_270,refute_0_278]) ).
cnf(refute_0_280,plain,
meet(meet(X_463,X_465),X_299) = meet(meet(X_465,X_463),X_299),
inference(subst,[],[refute_0_279:[bind(X_336,$fot(X_463)),bind(X_337,$fot(X_299)),bind(X_338,$fot(X_465))]]) ).
cnf(refute_0_281,plain,
( meet(X_299,meet(X_463,X_465)) != meet(meet(X_463,X_465),X_299)
| meet(meet(X_463,X_465),X_299) != meet(meet(X_465,X_463),X_299)
| meet(X_299,meet(X_463,X_465)) = meet(meet(X_465,X_463),X_299) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_299,meet(X_463,X_465)),meet(meet(X_465,X_463),X_299)) ),[0],$fot(meet(meet(X_463,X_465),X_299))]]) ).
cnf(refute_0_282,plain,
( meet(X_299,meet(X_463,X_465)) != meet(meet(X_463,X_465),X_299)
| meet(X_299,meet(X_463,X_465)) = meet(meet(X_465,X_463),X_299) ),
inference(resolve,[$cnf( $equal(meet(meet(X_463,X_465),X_299),meet(meet(X_465,X_463),X_299)) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
meet(X_299,meet(X_463,X_465)) = meet(meet(X_465,X_463),X_299),
inference(resolve,[$cnf( $equal(meet(X_299,meet(X_463,X_465)),meet(meet(X_463,X_465),X_299)) )],[refute_0_263,refute_0_282]) ).
cnf(refute_0_284,plain,
meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(X_25,X_126)) = meet(meet(X_126,X_25),meet(X_126,meet(join(X_483,X_126),X_25))),
inference(subst,[],[refute_0_283:[bind(X_299,$fot(meet(X_126,meet(join(X_483,X_126),X_25)))),bind(X_463,$fot(X_25)),bind(X_465,$fot(X_126))]]) ).
cnf(refute_0_285,plain,
( meet(meet(X_126,X_25),meet(X_126,meet(join(X_483,X_126),X_25))) != meet(X_126,meet(join(X_483,X_126),X_25))
| meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(X_25,X_126)) != meet(meet(X_126,X_25),meet(X_126,meet(join(X_483,X_126),X_25)))
| meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(X_25,X_126)) = meet(X_126,meet(join(X_483,X_126),X_25)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(X_25,X_126)))),bind(Y0,$fot(meet(meet(X_126,X_25),meet(X_126,meet(join(X_483,X_126),X_25))))),bind(Z0,$fot(meet(X_126,meet(join(X_483,X_126),X_25))))]]) ).
cnf(refute_0_286,plain,
( meet(meet(X_126,X_25),meet(X_126,meet(join(X_483,X_126),X_25))) != meet(X_126,meet(join(X_483,X_126),X_25))
| meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(X_25,X_126)) = meet(X_126,meet(join(X_483,X_126),X_25)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(X_25,X_126)),meet(meet(X_126,X_25),meet(X_126,meet(join(X_483,X_126),X_25)))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(X_25,X_126)) = meet(X_126,meet(join(X_483,X_126),X_25)),
inference(resolve,[$cnf( $equal(meet(meet(X_126,X_25),meet(X_126,meet(join(X_483,X_126),X_25))),meet(X_126,meet(join(X_483,X_126),X_25))) )],[refute_0_262,refute_0_286]) ).
cnf(refute_0_288,plain,
( meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(X_25,X_126)) != meet(X_126,meet(join(X_483,X_126),X_25))
| meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(X_25,X_126)) != meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25))
| meet(X_126,meet(join(X_483,X_126),X_25)) = meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(X_25,X_126)),meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25))) ),[0],$fot(meet(X_126,meet(join(X_483,X_126),X_25)))]]) ).
cnf(refute_0_289,plain,
( meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(X_25,X_126)) != meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25))
| meet(X_126,meet(join(X_483,X_126),X_25)) = meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(X_25,X_126)),meet(X_126,meet(join(X_483,X_126),X_25))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
( meet(X_126,meet(join(X_483,X_126),X_25)) != meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25))
| meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25)) != meet(X_25,X_126)
| meet(X_126,meet(join(X_483,X_126),X_25)) = meet(X_25,X_126) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_126,meet(join(X_483,X_126),X_25)),meet(X_25,X_126)) ),[0],$fot(meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25)))]]) ).
cnf(refute_0_291,plain,
( meet(X_126,meet(join(X_483,X_126),X_25)) != meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25))
| meet(X_126,meet(join(X_483,X_126),X_25)) = meet(X_25,X_126) ),
inference(resolve,[$cnf( $equal(meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25)),meet(X_25,X_126)) )],[refute_0_235,refute_0_290]) ).
cnf(refute_0_292,plain,
( meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(X_25,X_126)) != meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25))
| meet(X_126,meet(join(X_483,X_126),X_25)) = meet(X_25,X_126) ),
inference(resolve,[$cnf( $equal(meet(X_126,meet(join(X_483,X_126),X_25)),meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25))) )],[refute_0_289,refute_0_291]) ).
cnf(refute_0_293,plain,
meet(X_126,meet(join(X_483,X_126),X_25)) = meet(X_25,X_126),
inference(resolve,[$cnf( $equal(meet(meet(X_126,meet(join(X_483,X_126),X_25)),meet(X_25,X_126)),meet(meet(X_25,X_126),meet(join(X_483,X_126),X_25))) )],[refute_0_238,refute_0_292]) ).
cnf(refute_0_294,plain,
meet(meet(X_616,X_18),meet(join(X_616,meet(X_616,X_18)),X_615)) = meet(X_615,meet(X_616,X_18)),
inference(subst,[],[refute_0_293:[bind(X_126,$fot(meet(X_616,X_18))),bind(X_25,$fot(X_615)),bind(X_483,$fot(X_616))]]) ).
cnf(refute_0_295,plain,
join(X_616,meet(X_616,X_18)) = X_616,
inference(subst,[],[refute_0_189:[bind(X_16,$fot(X_616))]]) ).
cnf(refute_0_296,plain,
( join(X_616,meet(X_616,X_18)) != X_616
| meet(meet(X_616,X_18),meet(join(X_616,meet(X_616,X_18)),X_615)) != meet(X_615,meet(X_616,X_18))
| meet(meet(X_616,X_18),meet(X_616,X_615)) = meet(X_615,meet(X_616,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_616,X_18),meet(join(X_616,meet(X_616,X_18)),X_615)),meet(X_615,meet(X_616,X_18))) ),[0,1,0],$fot(X_616)]]) ).
cnf(refute_0_297,plain,
( meet(meet(X_616,X_18),meet(join(X_616,meet(X_616,X_18)),X_615)) != meet(X_615,meet(X_616,X_18))
| meet(meet(X_616,X_18),meet(X_616,X_615)) = meet(X_615,meet(X_616,X_18)) ),
inference(resolve,[$cnf( $equal(join(X_616,meet(X_616,X_18)),X_616) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
meet(meet(X_616,X_18),meet(X_616,X_615)) = meet(X_615,meet(X_616,X_18)),
inference(resolve,[$cnf( $equal(meet(meet(X_616,X_18),meet(join(X_616,meet(X_616,X_18)),X_615)),meet(X_615,meet(X_616,X_18))) )],[refute_0_294,refute_0_297]) ).
cnf(refute_0_299,plain,
meet(join(X_8,meet(X_8,X_27)),meet(X_8,X_27)) = meet(X_8,X_27),
inference(subst,[],[refute_0_64:[bind(X_9,$fot(meet(X_8,X_27)))]]) ).
cnf(refute_0_300,plain,
join(X_8,meet(X_8,X_27)) = X_8,
inference(subst,[],[refute_0_189:[bind(X_16,$fot(X_8)),bind(X_18,$fot(X_27))]]) ).
cnf(refute_0_301,plain,
( join(X_8,meet(X_8,X_27)) != X_8
| meet(join(X_8,meet(X_8,X_27)),meet(X_8,X_27)) != meet(X_8,X_27)
| meet(X_8,meet(X_8,X_27)) = meet(X_8,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_8,meet(X_8,X_27)),meet(X_8,X_27)),meet(X_8,X_27)) ),[0,0],$fot(X_8)]]) ).
cnf(refute_0_302,plain,
( meet(join(X_8,meet(X_8,X_27)),meet(X_8,X_27)) != meet(X_8,X_27)
| meet(X_8,meet(X_8,X_27)) = meet(X_8,X_27) ),
inference(resolve,[$cnf( $equal(join(X_8,meet(X_8,X_27)),X_8) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
meet(X_8,meet(X_8,X_27)) = meet(X_8,X_27),
inference(resolve,[$cnf( $equal(meet(join(X_8,meet(X_8,X_27)),meet(X_8,X_27)),meet(X_8,X_27)) )],[refute_0_299,refute_0_302]) ).
cnf(refute_0_304,plain,
meet(X_616,meet(X_616,meet(X_18,X_615))) = meet(X_616,meet(X_18,X_615)),
inference(subst,[],[refute_0_303:[bind(X_27,$fot(meet(X_18,X_615))),bind(X_8,$fot(X_616))]]) ).
cnf(refute_0_305,plain,
meet(meet(X_126,meet(join(X_126,X_604),X_603)),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) = meet(meet(X_126,Z),meet(join(X_126,X_604),X_603)),
inference(subst,[],[refute_0_275:[bind(X_127,$fot(meet(join(X_126,X_604),X_603)))]]) ).
cnf(refute_0_306,plain,
meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379)))) = meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379))),
inference(subst,[],[refute_0_206:[bind(X_127,$fot(meet(X_25,join(X_126,X_379))))]]) ).
cnf(refute_0_307,plain,
meet(meet(X_160,join(meet(X_160,X_162),join(X_162,Z))),meet(X_160,X_162)) = meet(X_160,X_162),
inference(subst,[],[refute_0_243:[bind(X,$fot(X_160)),bind(Z,$fot(join(X_162,Z))),bind(X_27,$fot(X_162))]]) ).
cnf(refute_0_308,plain,
join(meet(Y,meet(X_29,Z)),join(X_29,meet(Y,meet(X_29,Z)))) = join(X_29,meet(Y,meet(X_29,Z))),
inference(subst,[],[refute_0_35:[bind(X,$fot(meet(Y,meet(X_29,Z)))),bind(X_23,$fot(X_29))]]) ).
cnf(refute_0_309,plain,
join(X_29,meet(Y,meet(X_29,Z))) = X_29,
inference(subst,[],[mckenzie1:[bind(X,$fot(X_29))]]) ).
cnf(refute_0_310,plain,
( join(X_29,meet(Y,meet(X_29,Z))) != X_29
| join(meet(Y,meet(X_29,Z)),join(X_29,meet(Y,meet(X_29,Z)))) != join(X_29,meet(Y,meet(X_29,Z)))
| join(meet(Y,meet(X_29,Z)),X_29) = join(X_29,meet(Y,meet(X_29,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Y,meet(X_29,Z)),join(X_29,meet(Y,meet(X_29,Z)))),join(X_29,meet(Y,meet(X_29,Z)))) ),[0,1],$fot(X_29)]]) ).
cnf(refute_0_311,plain,
( join(meet(Y,meet(X_29,Z)),join(X_29,meet(Y,meet(X_29,Z)))) != join(X_29,meet(Y,meet(X_29,Z)))
| join(meet(Y,meet(X_29,Z)),X_29) = join(X_29,meet(Y,meet(X_29,Z))) ),
inference(resolve,[$cnf( $equal(join(X_29,meet(Y,meet(X_29,Z))),X_29) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
join(meet(Y,meet(X_29,Z)),X_29) = join(X_29,meet(Y,meet(X_29,Z))),
inference(resolve,[$cnf( $equal(join(meet(Y,meet(X_29,Z)),join(X_29,meet(Y,meet(X_29,Z)))),join(X_29,meet(Y,meet(X_29,Z)))) )],[refute_0_308,refute_0_311]) ).
cnf(refute_0_313,plain,
( join(X_29,meet(Y,meet(X_29,Z))) != X_29
| join(meet(Y,meet(X_29,Z)),X_29) != join(X_29,meet(Y,meet(X_29,Z)))
| join(meet(Y,meet(X_29,Z)),X_29) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Y,meet(X_29,Z)),X_29),join(X_29,meet(Y,meet(X_29,Z)))) ),[1],$fot(X_29)]]) ).
cnf(refute_0_314,plain,
( join(meet(Y,meet(X_29,Z)),X_29) != join(X_29,meet(Y,meet(X_29,Z)))
| join(meet(Y,meet(X_29,Z)),X_29) = X_29 ),
inference(resolve,[$cnf( $equal(join(X_29,meet(Y,meet(X_29,Z))),X_29) )],[refute_0_309,refute_0_313]) ).
cnf(refute_0_315,plain,
join(meet(Y,meet(X_29,Z)),X_29) = X_29,
inference(resolve,[$cnf( $equal(join(meet(Y,meet(X_29,Z)),X_29),join(X_29,meet(Y,meet(X_29,Z)))) )],[refute_0_312,refute_0_314]) ).
cnf(refute_0_316,plain,
join(meet(X_60,meet(join(X_61,Z),X_61)),join(X_61,Z)) = join(X_61,Z),
inference(subst,[],[refute_0_315:[bind(Y,$fot(X_60)),bind(Z,$fot(X_61)),bind(X_29,$fot(join(X_61,Z)))]]) ).
cnf(refute_0_317,plain,
meet(join(X_61,Z),X_61) = X_61,
inference(subst,[],[refute_0_77:[bind(X_40,$fot(X_61))]]) ).
cnf(refute_0_318,plain,
( join(meet(X_60,meet(join(X_61,Z),X_61)),join(X_61,Z)) != join(X_61,Z)
| meet(join(X_61,Z),X_61) != X_61
| join(meet(X_60,X_61),join(X_61,Z)) = join(X_61,Z) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_60,meet(join(X_61,Z),X_61)),join(X_61,Z)),join(X_61,Z)) ),[0,0,1],$fot(X_61)]]) ).
cnf(refute_0_319,plain,
( join(meet(X_60,meet(join(X_61,Z),X_61)),join(X_61,Z)) != join(X_61,Z)
| join(meet(X_60,X_61),join(X_61,Z)) = join(X_61,Z) ),
inference(resolve,[$cnf( $equal(meet(join(X_61,Z),X_61),X_61) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
join(meet(X_60,X_61),join(X_61,Z)) = join(X_61,Z),
inference(resolve,[$cnf( $equal(join(meet(X_60,meet(join(X_61,Z),X_61)),join(X_61,Z)),join(X_61,Z)) )],[refute_0_316,refute_0_319]) ).
cnf(refute_0_321,plain,
join(meet(X_160,X_162),join(X_162,Z)) = join(X_162,Z),
inference(subst,[],[refute_0_320:[bind(X_60,$fot(X_160)),bind(X_61,$fot(X_162))]]) ).
cnf(refute_0_322,plain,
( join(meet(X_160,X_162),join(X_162,Z)) != join(X_162,Z)
| meet(meet(X_160,join(meet(X_160,X_162),join(X_162,Z))),meet(X_160,X_162)) != meet(X_160,X_162)
| meet(meet(X_160,join(X_162,Z)),meet(X_160,X_162)) = meet(X_160,X_162) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_160,join(meet(X_160,X_162),join(X_162,Z))),meet(X_160,X_162)),meet(X_160,X_162)) ),[0,0,1],$fot(join(X_162,Z))]]) ).
cnf(refute_0_323,plain,
( meet(meet(X_160,join(meet(X_160,X_162),join(X_162,Z))),meet(X_160,X_162)) != meet(X_160,X_162)
| meet(meet(X_160,join(X_162,Z)),meet(X_160,X_162)) = meet(X_160,X_162) ),
inference(resolve,[$cnf( $equal(join(meet(X_160,X_162),join(X_162,Z)),join(X_162,Z)) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
meet(meet(X_160,join(X_162,Z)),meet(X_160,X_162)) = meet(X_160,X_162),
inference(resolve,[$cnf( $equal(meet(meet(X_160,join(meet(X_160,X_162),join(X_162,Z))),meet(X_160,X_162)),meet(X_160,X_162)) )],[refute_0_307,refute_0_323]) ).
cnf(refute_0_325,plain,
meet(meet(X_160,join(X_162,Z)),meet(X_160,X_162)) = meet(meet(X_160,X_162),meet(X_160,join(X_162,Z))),
inference(subst,[],[refute_0_172:[bind(X_299,$fot(meet(X_160,X_162))),bind(X_300,$fot(meet(X_160,join(X_162,Z))))]]) ).
cnf(refute_0_326,plain,
( meet(meet(X_160,join(X_162,Z)),meet(X_160,X_162)) != meet(X_160,X_162)
| meet(meet(X_160,join(X_162,Z)),meet(X_160,X_162)) != meet(meet(X_160,X_162),meet(X_160,join(X_162,Z)))
| meet(meet(X_160,X_162),meet(X_160,join(X_162,Z))) = meet(X_160,X_162) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_160,join(X_162,Z)),meet(X_160,X_162)),meet(X_160,X_162)) ),[0],$fot(meet(meet(X_160,X_162),meet(X_160,join(X_162,Z))))]]) ).
cnf(refute_0_327,plain,
( meet(meet(X_160,join(X_162,Z)),meet(X_160,X_162)) != meet(X_160,X_162)
| meet(meet(X_160,X_162),meet(X_160,join(X_162,Z))) = meet(X_160,X_162) ),
inference(resolve,[$cnf( $equal(meet(meet(X_160,join(X_162,Z)),meet(X_160,X_162)),meet(meet(X_160,X_162),meet(X_160,join(X_162,Z)))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
meet(meet(X_160,X_162),meet(X_160,join(X_162,Z))) = meet(X_160,X_162),
inference(resolve,[$cnf( $equal(meet(meet(X_160,join(X_162,Z)),meet(X_160,X_162)),meet(X_160,X_162)) )],[refute_0_324,refute_0_327]) ).
cnf(refute_0_329,plain,
meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379))) = meet(X_25,X_126),
inference(subst,[],[refute_0_328:[bind(Z,$fot(X_379)),bind(X_160,$fot(X_25)),bind(X_162,$fot(X_126))]]) ).
cnf(refute_0_330,plain,
( meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379)))) != meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379)))
| meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379))) != meet(X_25,X_126)
| meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(X_25,X_126)) = meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379)))),meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379)))) ),[0,1],$fot(meet(X_25,X_126))]]) ).
cnf(refute_0_331,plain,
( meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379)))) != meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379)))
| meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(X_25,X_126)) = meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379))),meet(X_25,X_126)) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(X_25,X_126)) = meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379))),
inference(resolve,[$cnf( $equal(meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379)))),meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379)))) )],[refute_0_306,refute_0_331]) ).
cnf(refute_0_333,plain,
meet(meet(join(X_262,meet(X_263,meet(X_262,Z))),X_263),meet(X_263,meet(X_262,Z))) = meet(X_263,meet(X_262,Z)),
inference(subst,[],[refute_0_220:[bind(X,$fot(X_262)),bind(Z,$fot(X_263)),bind(X_30,$fot(meet(X_262,Z)))]]) ).
cnf(refute_0_334,plain,
join(X_262,meet(X_263,meet(X_262,Z))) = X_262,
inference(subst,[],[mckenzie1:[bind(X,$fot(X_262)),bind(Y,$fot(X_263))]]) ).
cnf(refute_0_335,plain,
( join(X_262,meet(X_263,meet(X_262,Z))) != X_262
| meet(meet(join(X_262,meet(X_263,meet(X_262,Z))),X_263),meet(X_263,meet(X_262,Z))) != meet(X_263,meet(X_262,Z))
| meet(meet(X_262,X_263),meet(X_263,meet(X_262,Z))) = meet(X_263,meet(X_262,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_262,meet(X_263,meet(X_262,Z))),X_263),meet(X_263,meet(X_262,Z))),meet(X_263,meet(X_262,Z))) ),[0,0,0],$fot(X_262)]]) ).
cnf(refute_0_336,plain,
( meet(meet(join(X_262,meet(X_263,meet(X_262,Z))),X_263),meet(X_263,meet(X_262,Z))) != meet(X_263,meet(X_262,Z))
| meet(meet(X_262,X_263),meet(X_263,meet(X_262,Z))) = meet(X_263,meet(X_262,Z)) ),
inference(resolve,[$cnf( $equal(join(X_262,meet(X_263,meet(X_262,Z))),X_262) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
meet(meet(X_262,X_263),meet(X_263,meet(X_262,Z))) = meet(X_263,meet(X_262,Z)),
inference(resolve,[$cnf( $equal(meet(meet(join(X_262,meet(X_263,meet(X_262,Z))),X_263),meet(X_263,meet(X_262,Z))),meet(X_263,meet(X_262,Z))) )],[refute_0_333,refute_0_336]) ).
cnf(refute_0_338,plain,
meet(meet(X_25,X_126),meet(X_126,meet(X_25,join(X_126,X_379)))) = meet(X_126,meet(X_25,join(X_126,X_379))),
inference(subst,[],[refute_0_337:[bind(Z,$fot(join(X_126,X_379))),bind(X_262,$fot(X_25)),bind(X_263,$fot(X_126))]]) ).
cnf(refute_0_339,plain,
meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(X_25,X_126)) = meet(meet(X_25,X_126),meet(X_126,meet(X_25,join(X_126,X_379)))),
inference(subst,[],[refute_0_172:[bind(X_299,$fot(meet(X_25,X_126))),bind(X_300,$fot(meet(X_126,meet(X_25,join(X_126,X_379)))))]]) ).
cnf(refute_0_340,plain,
( meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(X_25,X_126)) != meet(meet(X_25,X_126),meet(X_126,meet(X_25,join(X_126,X_379))))
| meet(meet(X_25,X_126),meet(X_126,meet(X_25,join(X_126,X_379)))) != meet(X_126,meet(X_25,join(X_126,X_379)))
| meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(X_25,X_126)) = meet(X_126,meet(X_25,join(X_126,X_379))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(X_25,X_126)))),bind(Y0,$fot(meet(meet(X_25,X_126),meet(X_126,meet(X_25,join(X_126,X_379)))))),bind(Z0,$fot(meet(X_126,meet(X_25,join(X_126,X_379)))))]]) ).
cnf(refute_0_341,plain,
( meet(meet(X_25,X_126),meet(X_126,meet(X_25,join(X_126,X_379)))) != meet(X_126,meet(X_25,join(X_126,X_379)))
| meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(X_25,X_126)) = meet(X_126,meet(X_25,join(X_126,X_379))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(X_25,X_126)),meet(meet(X_25,X_126),meet(X_126,meet(X_25,join(X_126,X_379))))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(X_25,X_126)) = meet(X_126,meet(X_25,join(X_126,X_379))),
inference(resolve,[$cnf( $equal(meet(meet(X_25,X_126),meet(X_126,meet(X_25,join(X_126,X_379)))),meet(X_126,meet(X_25,join(X_126,X_379)))) )],[refute_0_338,refute_0_341]) ).
cnf(refute_0_343,plain,
( meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(X_25,X_126)) != meet(X_126,meet(X_25,join(X_126,X_379)))
| meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(X_25,X_126)) != meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379)))
| meet(X_126,meet(X_25,join(X_126,X_379))) = meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(X_25,X_126)),meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379)))) ),[0],$fot(meet(X_126,meet(X_25,join(X_126,X_379))))]]) ).
cnf(refute_0_344,plain,
( meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(X_25,X_126)) != meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379)))
| meet(X_126,meet(X_25,join(X_126,X_379))) = meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(X_25,X_126)),meet(X_126,meet(X_25,join(X_126,X_379)))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
( meet(X_126,meet(X_25,join(X_126,X_379))) != meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379)))
| meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379))) != meet(X_25,X_126)
| meet(X_126,meet(X_25,join(X_126,X_379))) = meet(X_25,X_126) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_126,meet(X_25,join(X_126,X_379))),meet(X_25,X_126)) ),[0],$fot(meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379))))]]) ).
cnf(refute_0_346,plain,
( meet(X_126,meet(X_25,join(X_126,X_379))) != meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379)))
| meet(X_126,meet(X_25,join(X_126,X_379))) = meet(X_25,X_126) ),
inference(resolve,[$cnf( $equal(meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379))),meet(X_25,X_126)) )],[refute_0_329,refute_0_345]) ).
cnf(refute_0_347,plain,
( meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(X_25,X_126)) != meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379)))
| meet(X_126,meet(X_25,join(X_126,X_379))) = meet(X_25,X_126) ),
inference(resolve,[$cnf( $equal(meet(X_126,meet(X_25,join(X_126,X_379))),meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379)))) )],[refute_0_344,refute_0_346]) ).
cnf(refute_0_348,plain,
meet(X_126,meet(X_25,join(X_126,X_379))) = meet(X_25,X_126),
inference(resolve,[$cnf( $equal(meet(meet(X_126,meet(X_25,join(X_126,X_379))),meet(X_25,X_126)),meet(meet(X_25,X_126),meet(X_25,join(X_126,X_379)))) )],[refute_0_332,refute_0_347]) ).
cnf(refute_0_349,plain,
meet(X_382,meet(X_383,join(X_382,X_384))) = meet(X_383,X_382),
inference(subst,[],[refute_0_348:[bind(X_126,$fot(X_382)),bind(X_25,$fot(X_383)),bind(X_379,$fot(X_384))]]) ).
cnf(refute_0_350,plain,
meet(join(X_382,X_384),X_383) = meet(X_383,join(X_382,X_384)),
inference(subst,[],[refute_0_170:[bind(X_299,$fot(join(X_382,X_384))),bind(X_300,$fot(X_383))]]) ).
cnf(refute_0_351,plain,
( meet(join(X_382,X_384),X_383) != meet(X_383,join(X_382,X_384))
| meet(X_383,join(X_382,X_384)) = meet(join(X_382,X_384),X_383) ),
inference(subst,[],[refute_0_91:[bind(X0,$fot(meet(join(X_382,X_384),X_383))),bind(Y0,$fot(meet(X_383,join(X_382,X_384))))]]) ).
cnf(refute_0_352,plain,
meet(X_383,join(X_382,X_384)) = meet(join(X_382,X_384),X_383),
inference(resolve,[$cnf( $equal(meet(join(X_382,X_384),X_383),meet(X_383,join(X_382,X_384))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
( meet(X_382,meet(X_383,join(X_382,X_384))) != meet(X_383,X_382)
| meet(X_383,join(X_382,X_384)) != meet(join(X_382,X_384),X_383)
| meet(X_382,meet(join(X_382,X_384),X_383)) = meet(X_383,X_382) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_382,meet(X_383,join(X_382,X_384))),meet(X_383,X_382)) ),[0,1],$fot(meet(join(X_382,X_384),X_383))]]) ).
cnf(refute_0_354,plain,
( meet(X_382,meet(X_383,join(X_382,X_384))) != meet(X_383,X_382)
| meet(X_382,meet(join(X_382,X_384),X_383)) = meet(X_383,X_382) ),
inference(resolve,[$cnf( $equal(meet(X_383,join(X_382,X_384)),meet(join(X_382,X_384),X_383)) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
meet(X_382,meet(join(X_382,X_384),X_383)) = meet(X_383,X_382),
inference(resolve,[$cnf( $equal(meet(X_382,meet(X_383,join(X_382,X_384))),meet(X_383,X_382)) )],[refute_0_349,refute_0_354]) ).
cnf(refute_0_356,plain,
meet(X_126,meet(join(X_126,X_604),X_603)) = meet(X_603,X_126),
inference(subst,[],[refute_0_355:[bind(X_382,$fot(X_126)),bind(X_383,$fot(X_603)),bind(X_384,$fot(X_604))]]) ).
cnf(refute_0_357,plain,
( meet(X_126,meet(join(X_126,X_604),X_603)) != meet(X_603,X_126)
| meet(meet(X_126,meet(join(X_126,X_604),X_603)),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) != meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))
| meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) = meet(meet(X_126,Z),meet(join(X_126,X_604),X_603)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_126,meet(join(X_126,X_604),X_603)),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) ),[0,0],$fot(meet(X_603,X_126))]]) ).
cnf(refute_0_358,plain,
( meet(meet(X_126,meet(join(X_126,X_604),X_603)),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) != meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))
| meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) = meet(meet(X_126,Z),meet(join(X_126,X_604),X_603)) ),
inference(resolve,[$cnf( $equal(meet(X_126,meet(join(X_126,X_604),X_603)),meet(X_603,X_126)) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) = meet(meet(X_126,Z),meet(join(X_126,X_604),X_603)),
inference(resolve,[$cnf( $equal(meet(meet(X_126,meet(join(X_126,X_604),X_603)),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) )],[refute_0_305,refute_0_358]) ).
cnf(refute_0_360,plain,
meet(meet(X_603,X_126),meet(X_603,meet(X_126,Z))) = meet(meet(X_126,Z),meet(X_603,X_126)),
inference(subst,[],[refute_0_298:[bind(X_18,$fot(X_126)),bind(X_615,$fot(meet(X_126,Z))),bind(X_616,$fot(X_603))]]) ).
cnf(refute_0_361,plain,
meet(meet(X_55,X_56),meet(join(join(X_55,Z),meet(X_55,X_56)),X_615)) = meet(X_615,meet(X_55,X_56)),
inference(subst,[],[refute_0_293:[bind(X_126,$fot(meet(X_55,X_56))),bind(X_25,$fot(X_615)),bind(X_483,$fot(join(X_55,Z)))]]) ).
cnf(refute_0_362,plain,
join(join(X_55,Z),meet(meet(join(X_55,Z),X_55),X_56)) = join(X_55,Z),
inference(subst,[],[refute_0_197:[bind(X,$fot(join(X_55,Z))),bind(Z,$fot(X_55)),bind(X_33,$fot(X_56))]]) ).
cnf(refute_0_363,plain,
meet(join(X_55,Z),X_55) = X_55,
inference(subst,[],[refute_0_77:[bind(X_40,$fot(X_55))]]) ).
cnf(refute_0_364,plain,
( join(join(X_55,Z),meet(meet(join(X_55,Z),X_55),X_56)) != join(X_55,Z)
| meet(join(X_55,Z),X_55) != X_55
| join(join(X_55,Z),meet(X_55,X_56)) = join(X_55,Z) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_55,Z),meet(meet(join(X_55,Z),X_55),X_56)),join(X_55,Z)) ),[0,1,0],$fot(X_55)]]) ).
cnf(refute_0_365,plain,
( join(join(X_55,Z),meet(meet(join(X_55,Z),X_55),X_56)) != join(X_55,Z)
| join(join(X_55,Z),meet(X_55,X_56)) = join(X_55,Z) ),
inference(resolve,[$cnf( $equal(meet(join(X_55,Z),X_55),X_55) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
join(join(X_55,Z),meet(X_55,X_56)) = join(X_55,Z),
inference(resolve,[$cnf( $equal(join(join(X_55,Z),meet(meet(join(X_55,Z),X_55),X_56)),join(X_55,Z)) )],[refute_0_362,refute_0_365]) ).
cnf(refute_0_367,plain,
( join(join(X_55,Z),meet(X_55,X_56)) != join(X_55,Z)
| meet(meet(X_55,X_56),meet(join(join(X_55,Z),meet(X_55,X_56)),X_615)) != meet(X_615,meet(X_55,X_56))
| meet(meet(X_55,X_56),meet(join(X_55,Z),X_615)) = meet(X_615,meet(X_55,X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_55,X_56),meet(join(join(X_55,Z),meet(X_55,X_56)),X_615)),meet(X_615,meet(X_55,X_56))) ),[0,1,0],$fot(join(X_55,Z))]]) ).
cnf(refute_0_368,plain,
( meet(meet(X_55,X_56),meet(join(join(X_55,Z),meet(X_55,X_56)),X_615)) != meet(X_615,meet(X_55,X_56))
| meet(meet(X_55,X_56),meet(join(X_55,Z),X_615)) = meet(X_615,meet(X_55,X_56)) ),
inference(resolve,[$cnf( $equal(join(join(X_55,Z),meet(X_55,X_56)),join(X_55,Z)) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
meet(meet(X_55,X_56),meet(join(X_55,Z),X_615)) = meet(X_615,meet(X_55,X_56)),
inference(resolve,[$cnf( $equal(meet(meet(X_55,X_56),meet(join(join(X_55,Z),meet(X_55,X_56)),X_615)),meet(X_615,meet(X_55,X_56))) )],[refute_0_361,refute_0_368]) ).
cnf(refute_0_370,plain,
meet(meet(X_126,Z),meet(join(X_126,X_604),X_603)) = meet(X_603,meet(X_126,Z)),
inference(subst,[],[refute_0_369:[bind(Z,$fot(X_604)),bind(X_55,$fot(X_126)),bind(X_56,$fot(Z)),bind(X_615,$fot(X_603))]]) ).
cnf(refute_0_371,plain,
meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) = meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))),
introduced(tautology,[refl,[$fot(meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))))]]) ).
cnf(refute_0_372,plain,
( meet(meet(X_126,Z),meet(join(X_126,X_604),X_603)) != meet(X_603,meet(X_126,Z))
| meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) != meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603)))
| meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) = meet(meet(X_603,X_126),meet(X_603,meet(X_126,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))),meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603)))) ),[1,1],$fot(meet(X_603,meet(X_126,Z)))]]) ).
cnf(refute_0_373,plain,
( meet(meet(X_126,Z),meet(join(X_126,X_604),X_603)) != meet(X_603,meet(X_126,Z))
| meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) = meet(meet(X_603,X_126),meet(X_603,meet(X_126,Z))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))),meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603)))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) = meet(meet(X_603,X_126),meet(X_603,meet(X_126,Z))),
inference(resolve,[$cnf( $equal(meet(meet(X_126,Z),meet(join(X_126,X_604),X_603)),meet(X_603,meet(X_126,Z))) )],[refute_0_370,refute_0_373]) ).
cnf(refute_0_375,plain,
( meet(meet(X_603,X_126),meet(X_603,meet(X_126,Z))) != meet(meet(X_126,Z),meet(X_603,X_126))
| meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) != meet(meet(X_603,X_126),meet(X_603,meet(X_126,Z)))
| meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) = meet(meet(X_126,Z),meet(X_603,X_126)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))))),bind(Y0,$fot(meet(meet(X_603,X_126),meet(X_603,meet(X_126,Z))))),bind(Z0,$fot(meet(meet(X_126,Z),meet(X_603,X_126))))]]) ).
cnf(refute_0_376,plain,
( meet(meet(X_603,X_126),meet(X_603,meet(X_126,Z))) != meet(meet(X_126,Z),meet(X_603,X_126))
| meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) = meet(meet(X_126,Z),meet(X_603,X_126)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))),meet(meet(X_603,X_126),meet(X_603,meet(X_126,Z)))) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) = meet(meet(X_126,Z),meet(X_603,X_126)),
inference(resolve,[$cnf( $equal(meet(meet(X_603,X_126),meet(X_603,meet(X_126,Z))),meet(meet(X_126,Z),meet(X_603,X_126))) )],[refute_0_360,refute_0_376]) ).
cnf(refute_0_378,plain,
( meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) != meet(meet(X_126,Z),meet(X_603,X_126))
| meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) != meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))
| meet(meet(X_126,Z),meet(X_603,X_126)) = meet(meet(X_126,Z),meet(join(X_126,X_604),X_603)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) ),[0],$fot(meet(meet(X_126,Z),meet(X_603,X_126)))]]) ).
cnf(refute_0_379,plain,
( meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) != meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))
| meet(meet(X_126,Z),meet(X_603,X_126)) = meet(meet(X_126,Z),meet(join(X_126,X_604),X_603)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))),meet(meet(X_126,Z),meet(X_603,X_126))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
( meet(meet(X_126,Z),meet(X_603,X_126)) != meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))
| meet(meet(X_126,Z),meet(join(X_126,X_604),X_603)) != meet(X_603,meet(X_126,Z))
| meet(meet(X_126,Z),meet(X_603,X_126)) = meet(X_603,meet(X_126,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(meet(X_126,Z),meet(X_603,X_126)),meet(X_603,meet(X_126,Z))) ),[0],$fot(meet(meet(X_126,Z),meet(join(X_126,X_604),X_603)))]]) ).
cnf(refute_0_381,plain,
( meet(meet(X_126,Z),meet(X_603,X_126)) != meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))
| meet(meet(X_126,Z),meet(X_603,X_126)) = meet(X_603,meet(X_126,Z)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_126,Z),meet(join(X_126,X_604),X_603)),meet(X_603,meet(X_126,Z))) )],[refute_0_370,refute_0_380]) ).
cnf(refute_0_382,plain,
( meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) != meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))
| meet(meet(X_126,Z),meet(X_603,X_126)) = meet(X_603,meet(X_126,Z)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_126,Z),meet(X_603,X_126)),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) )],[refute_0_379,refute_0_381]) ).
cnf(refute_0_383,plain,
meet(meet(X_126,Z),meet(X_603,X_126)) = meet(X_603,meet(X_126,Z)),
inference(resolve,[$cnf( $equal(meet(meet(X_603,X_126),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))),meet(meet(X_126,Z),meet(join(X_126,X_604),X_603))) )],[refute_0_359,refute_0_382]) ).
cnf(refute_0_384,plain,
meet(meet(X_126,X_127),meet(X_25,X_126)) = meet(X_25,meet(X_126,X_127)),
inference(subst,[],[refute_0_383:[bind(Z,$fot(X_127)),bind(X_603,$fot(X_25))]]) ).
cnf(refute_0_385,plain,
meet(X_337,X_336) = meet(X_336,X_337),
inference(subst,[],[refute_0_170:[bind(X_299,$fot(X_337)),bind(X_300,$fot(X_336))]]) ).
cnf(refute_0_386,plain,
( meet(X_337,X_336) != meet(X_336,X_337)
| meet(X_336,X_337) = meet(X_337,X_336) ),
inference(subst,[],[refute_0_91:[bind(X0,$fot(meet(X_337,X_336))),bind(Y0,$fot(meet(X_336,X_337)))]]) ).
cnf(refute_0_387,plain,
meet(X_336,X_337) = meet(X_337,X_336),
inference(resolve,[$cnf( $equal(meet(X_337,X_336),meet(X_336,X_337)) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
( meet(X_336,X_337) != meet(X_337,X_336)
| meet(meet(X_336,X_337),meet(meet(X_338,X_336),X_337)) != meet(meet(X_338,X_336),X_337)
| meet(meet(X_337,X_336),meet(meet(X_338,X_336),X_337)) = meet(meet(X_338,X_336),X_337) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_336,X_337),meet(meet(X_338,X_336),X_337)),meet(meet(X_338,X_336),X_337)) ),[0,0],$fot(meet(X_337,X_336))]]) ).
cnf(refute_0_389,plain,
( meet(meet(X_336,X_337),meet(meet(X_338,X_336),X_337)) != meet(meet(X_338,X_336),X_337)
| meet(meet(X_337,X_336),meet(meet(X_338,X_336),X_337)) = meet(meet(X_338,X_336),X_337) ),
inference(resolve,[$cnf( $equal(meet(X_336,X_337),meet(X_337,X_336)) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
meet(meet(X_337,X_336),meet(meet(X_338,X_336),X_337)) = meet(meet(X_338,X_336),X_337),
inference(resolve,[$cnf( $equal(meet(meet(X_336,X_337),meet(meet(X_338,X_336),X_337)),meet(meet(X_338,X_336),X_337)) )],[refute_0_264,refute_0_389]) ).
cnf(refute_0_391,plain,
meet(meet(X_337,X_336),meet(meet(X_338,X_336),X_337)) = meet(meet(X_338,X_336),meet(X_337,X_336)),
inference(subst,[],[refute_0_383:[bind(Z,$fot(X_336)),bind(X_126,$fot(X_337)),bind(X_603,$fot(meet(X_338,X_336)))]]) ).
cnf(refute_0_392,plain,
( meet(meet(X_337,X_336),meet(meet(X_338,X_336),X_337)) != meet(meet(X_338,X_336),X_337)
| meet(meet(X_337,X_336),meet(meet(X_338,X_336),X_337)) != meet(meet(X_338,X_336),meet(X_337,X_336))
| meet(meet(X_338,X_336),meet(X_337,X_336)) = meet(meet(X_338,X_336),X_337) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_337,X_336),meet(meet(X_338,X_336),X_337)),meet(meet(X_338,X_336),X_337)) ),[0],$fot(meet(meet(X_338,X_336),meet(X_337,X_336)))]]) ).
cnf(refute_0_393,plain,
( meet(meet(X_337,X_336),meet(meet(X_338,X_336),X_337)) != meet(meet(X_338,X_336),X_337)
| meet(meet(X_338,X_336),meet(X_337,X_336)) = meet(meet(X_338,X_336),X_337) ),
inference(resolve,[$cnf( $equal(meet(meet(X_337,X_336),meet(meet(X_338,X_336),X_337)),meet(meet(X_338,X_336),meet(X_337,X_336))) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
meet(meet(X_338,X_336),meet(X_337,X_336)) = meet(meet(X_338,X_336),X_337),
inference(resolve,[$cnf( $equal(meet(meet(X_337,X_336),meet(meet(X_338,X_336),X_337)),meet(meet(X_338,X_336),X_337)) )],[refute_0_390,refute_0_393]) ).
cnf(refute_0_395,plain,
meet(meet(X_126,X_127),meet(meet(X_25,X_126),X_127)) = meet(meet(X_126,X_127),meet(X_25,X_126)),
inference(subst,[],[refute_0_394:[bind(X_336,$fot(X_127)),bind(X_337,$fot(meet(X_25,X_126))),bind(X_338,$fot(X_126))]]) ).
cnf(refute_0_396,plain,
( meet(meet(X_126,X_127),meet(X_25,X_126)) != meet(X_25,meet(X_126,X_127))
| meet(meet(X_126,X_127),meet(meet(X_25,X_126),X_127)) != meet(meet(X_126,X_127),meet(X_25,X_126))
| meet(meet(X_126,X_127),meet(meet(X_25,X_126),X_127)) = meet(X_25,meet(X_126,X_127)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(X_126,X_127),meet(meet(X_25,X_126),X_127)))),bind(Y0,$fot(meet(meet(X_126,X_127),meet(X_25,X_126)))),bind(Z0,$fot(meet(X_25,meet(X_126,X_127))))]]) ).
cnf(refute_0_397,plain,
( meet(meet(X_126,X_127),meet(X_25,X_126)) != meet(X_25,meet(X_126,X_127))
| meet(meet(X_126,X_127),meet(meet(X_25,X_126),X_127)) = meet(X_25,meet(X_126,X_127)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_126,X_127),meet(meet(X_25,X_126),X_127)),meet(meet(X_126,X_127),meet(X_25,X_126))) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
meet(meet(X_126,X_127),meet(meet(X_25,X_126),X_127)) = meet(X_25,meet(X_126,X_127)),
inference(resolve,[$cnf( $equal(meet(meet(X_126,X_127),meet(X_25,X_126)),meet(X_25,meet(X_126,X_127))) )],[refute_0_384,refute_0_397]) ).
cnf(refute_0_399,plain,
( meet(meet(X_126,X_127),meet(meet(X_25,X_126),X_127)) != meet(X_25,meet(X_126,X_127))
| meet(meet(X_126,X_127),meet(meet(X_25,X_126),X_127)) != meet(meet(X_25,X_126),X_127)
| meet(X_25,meet(X_126,X_127)) = meet(meet(X_25,X_126),X_127) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_126,X_127),meet(meet(X_25,X_126),X_127)),meet(meet(X_25,X_126),X_127)) ),[0],$fot(meet(X_25,meet(X_126,X_127)))]]) ).
cnf(refute_0_400,plain,
( meet(meet(X_126,X_127),meet(meet(X_25,X_126),X_127)) != meet(meet(X_25,X_126),X_127)
| meet(X_25,meet(X_126,X_127)) = meet(meet(X_25,X_126),X_127) ),
inference(resolve,[$cnf( $equal(meet(meet(X_126,X_127),meet(meet(X_25,X_126),X_127)),meet(X_25,meet(X_126,X_127))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
meet(X_25,meet(X_126,X_127)) = meet(meet(X_25,X_126),X_127),
inference(resolve,[$cnf( $equal(meet(meet(X_126,X_127),meet(meet(X_25,X_126),X_127)),meet(meet(X_25,X_126),X_127)) )],[refute_0_206,refute_0_400]) ).
cnf(refute_0_402,plain,
( meet(X_25,meet(X_126,X_127)) != meet(meet(X_25,X_126),X_127)
| meet(meet(X_25,X_126),X_127) = meet(X_25,meet(X_126,X_127)) ),
inference(subst,[],[refute_0_91:[bind(X0,$fot(meet(X_25,meet(X_126,X_127)))),bind(Y0,$fot(meet(meet(X_25,X_126),X_127)))]]) ).
cnf(refute_0_403,plain,
meet(meet(X_25,X_126),X_127) = meet(X_25,meet(X_126,X_127)),
inference(resolve,[$cnf( $equal(meet(X_25,meet(X_126,X_127)),meet(meet(X_25,X_126),X_127)) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
meet(meet(X_616,X_18),X_615) = meet(X_616,meet(X_18,X_615)),
inference(subst,[],[refute_0_403:[bind(X_126,$fot(X_18)),bind(X_127,$fot(X_615)),bind(X_25,$fot(X_616))]]) ).
cnf(refute_0_405,plain,
meet(X_616,meet(meet(X_616,X_18),X_615)) = meet(X_616,meet(meet(X_616,X_18),X_615)),
introduced(tautology,[refl,[$fot(meet(X_616,meet(meet(X_616,X_18),X_615)))]]) ).
cnf(refute_0_406,plain,
( meet(X_616,meet(meet(X_616,X_18),X_615)) != meet(X_616,meet(meet(X_616,X_18),X_615))
| meet(meet(X_616,X_18),X_615) != meet(X_616,meet(X_18,X_615))
| meet(X_616,meet(meet(X_616,X_18),X_615)) = meet(X_616,meet(X_616,meet(X_18,X_615))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_616,meet(meet(X_616,X_18),X_615)),meet(X_616,meet(meet(X_616,X_18),X_615))) ),[1,1],$fot(meet(X_616,meet(X_18,X_615)))]]) ).
cnf(refute_0_407,plain,
( meet(meet(X_616,X_18),X_615) != meet(X_616,meet(X_18,X_615))
| meet(X_616,meet(meet(X_616,X_18),X_615)) = meet(X_616,meet(X_616,meet(X_18,X_615))) ),
inference(resolve,[$cnf( $equal(meet(X_616,meet(meet(X_616,X_18),X_615)),meet(X_616,meet(meet(X_616,X_18),X_615))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
meet(X_616,meet(meet(X_616,X_18),X_615)) = meet(X_616,meet(X_616,meet(X_18,X_615))),
inference(resolve,[$cnf( $equal(meet(meet(X_616,X_18),X_615),meet(X_616,meet(X_18,X_615))) )],[refute_0_404,refute_0_407]) ).
cnf(refute_0_409,plain,
( meet(X_616,meet(X_616,meet(X_18,X_615))) != meet(X_616,meet(X_18,X_615))
| meet(X_616,meet(meet(X_616,X_18),X_615)) != meet(X_616,meet(X_616,meet(X_18,X_615)))
| meet(X_616,meet(meet(X_616,X_18),X_615)) = meet(X_616,meet(X_18,X_615)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(X_616,meet(meet(X_616,X_18),X_615)))),bind(Y0,$fot(meet(X_616,meet(X_616,meet(X_18,X_615))))),bind(Z0,$fot(meet(X_616,meet(X_18,X_615))))]]) ).
cnf(refute_0_410,plain,
( meet(X_616,meet(X_616,meet(X_18,X_615))) != meet(X_616,meet(X_18,X_615))
| meet(X_616,meet(meet(X_616,X_18),X_615)) = meet(X_616,meet(X_18,X_615)) ),
inference(resolve,[$cnf( $equal(meet(X_616,meet(meet(X_616,X_18),X_615)),meet(X_616,meet(X_616,meet(X_18,X_615)))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
meet(X_616,meet(meet(X_616,X_18),X_615)) = meet(X_616,meet(X_18,X_615)),
inference(resolve,[$cnf( $equal(meet(X_616,meet(X_616,meet(X_18,X_615))),meet(X_616,meet(X_18,X_615))) )],[refute_0_304,refute_0_410]) ).
cnf(refute_0_412,plain,
meet(meet(X_17,X_18),meet(join(meet(join(X,X_18),join(X_18,Z)),meet(X_17,X_18)),X_615)) = meet(X_615,meet(X_17,X_18)),
inference(subst,[],[refute_0_293:[bind(X_126,$fot(meet(X_17,X_18))),bind(X_25,$fot(X_615)),bind(X_483,$fot(meet(join(X,X_18),join(X_18,Z))))]]) ).
cnf(refute_0_413,plain,
( join(meet(join(X,X_18),join(X_18,Z)),meet(X_17,X_18)) != meet(join(X,X_18),join(X_18,Z))
| meet(meet(X_17,X_18),meet(join(meet(join(X,X_18),join(X_18,Z)),meet(X_17,X_18)),X_615)) != meet(X_615,meet(X_17,X_18))
| meet(meet(X_17,X_18),meet(meet(join(X,X_18),join(X_18,Z)),X_615)) = meet(X_615,meet(X_17,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_17,X_18),meet(join(meet(join(X,X_18),join(X_18,Z)),meet(X_17,X_18)),X_615)),meet(X_615,meet(X_17,X_18))) ),[0,1,0],$fot(meet(join(X,X_18),join(X_18,Z)))]]) ).
cnf(refute_0_414,plain,
( meet(meet(X_17,X_18),meet(join(meet(join(X,X_18),join(X_18,Z)),meet(X_17,X_18)),X_615)) != meet(X_615,meet(X_17,X_18))
| meet(meet(X_17,X_18),meet(meet(join(X,X_18),join(X_18,Z)),X_615)) = meet(X_615,meet(X_17,X_18)) ),
inference(resolve,[$cnf( $equal(join(meet(join(X,X_18),join(X_18,Z)),meet(X_17,X_18)),meet(join(X,X_18),join(X_18,Z))) )],[refute_0_125,refute_0_413]) ).
cnf(refute_0_415,plain,
meet(meet(X_17,X_18),meet(meet(join(X,X_18),join(X_18,Z)),X_615)) = meet(X_615,meet(X_17,X_18)),
inference(resolve,[$cnf( $equal(meet(meet(X_17,X_18),meet(join(meet(join(X,X_18),join(X_18,Z)),meet(X_17,X_18)),X_615)),meet(X_615,meet(X_17,X_18))) )],[refute_0_412,refute_0_414]) ).
cnf(refute_0_416,plain,
meet(X_18,meet(X_615,join(X_18,Z))) = meet(X_615,X_18),
inference(subst,[],[refute_0_348:[bind(X_126,$fot(X_18)),bind(X_25,$fot(X_615)),bind(X_379,$fot(Z))]]) ).
cnf(refute_0_417,plain,
meet(meet(X_10,Z),meet(join(meet(Z,X_10),meet(X_10,Z)),X_615)) = meet(X_615,meet(X_10,Z)),
inference(subst,[],[refute_0_293:[bind(X_126,$fot(meet(X_10,Z))),bind(X_25,$fot(X_615)),bind(X_483,$fot(meet(Z,X_10)))]]) ).
cnf(refute_0_418,plain,
( join(meet(Z,X_10),meet(X_10,Z)) != meet(Z,X_10)
| meet(meet(X_10,Z),meet(join(meet(Z,X_10),meet(X_10,Z)),X_615)) != meet(X_615,meet(X_10,Z))
| meet(meet(X_10,Z),meet(meet(Z,X_10),X_615)) = meet(X_615,meet(X_10,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_10,Z),meet(join(meet(Z,X_10),meet(X_10,Z)),X_615)),meet(X_615,meet(X_10,Z))) ),[0,1,0],$fot(meet(Z,X_10))]]) ).
cnf(refute_0_419,plain,
( meet(meet(X_10,Z),meet(join(meet(Z,X_10),meet(X_10,Z)),X_615)) != meet(X_615,meet(X_10,Z))
| meet(meet(X_10,Z),meet(meet(Z,X_10),X_615)) = meet(X_615,meet(X_10,Z)) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X_10),meet(X_10,Z)),meet(Z,X_10)) )],[refute_0_153,refute_0_418]) ).
cnf(refute_0_420,plain,
meet(meet(X_10,Z),meet(meet(Z,X_10),X_615)) = meet(X_615,meet(X_10,Z)),
inference(resolve,[$cnf( $equal(meet(meet(X_10,Z),meet(join(meet(Z,X_10),meet(X_10,Z)),X_615)),meet(X_615,meet(X_10,Z))) )],[refute_0_417,refute_0_419]) ).
cnf(refute_0_421,plain,
meet(meet(Z,X_30),join(Y,join(meet(Z,X_30),Z))) = meet(Z,X_30),
inference(subst,[],[mckenzie2:[bind(X,$fot(meet(Z,X_30)))]]) ).
cnf(refute_0_422,plain,
( join(meet(Z,X_30),Z) != Z
| meet(meet(Z,X_30),join(Y,join(meet(Z,X_30),Z))) != meet(Z,X_30)
| meet(meet(Z,X_30),join(Y,Z)) = meet(Z,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(Z,X_30),join(Y,join(meet(Z,X_30),Z))),meet(Z,X_30)) ),[0,1,1],$fot(Z)]]) ).
cnf(refute_0_423,plain,
( meet(meet(Z,X_30),join(Y,join(meet(Z,X_30),Z))) != meet(Z,X_30)
| meet(meet(Z,X_30),join(Y,Z)) = meet(Z,X_30) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X_30),Z),Z) )],[refute_0_217,refute_0_422]) ).
cnf(refute_0_424,plain,
meet(meet(Z,X_30),join(Y,Z)) = meet(Z,X_30),
inference(resolve,[$cnf( $equal(meet(meet(Z,X_30),join(Y,join(meet(Z,X_30),Z))),meet(Z,X_30)) )],[refute_0_421,refute_0_423]) ).
cnf(refute_0_425,plain,
meet(meet(meet(X_300,X_299),X_30),join(meet(X_299,X_300),meet(X_300,X_299))) = meet(meet(X_300,X_299),X_30),
inference(subst,[],[refute_0_424:[bind(Y,$fot(meet(X_299,X_300))),bind(Z,$fot(meet(X_300,X_299)))]]) ).
cnf(refute_0_426,plain,
( join(meet(X_299,X_300),meet(X_300,X_299)) != meet(X_299,X_300)
| meet(meet(meet(X_300,X_299),X_30),join(meet(X_299,X_300),meet(X_300,X_299))) != meet(meet(X_300,X_299),X_30)
| meet(meet(meet(X_300,X_299),X_30),meet(X_299,X_300)) = meet(meet(X_300,X_299),X_30) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_300,X_299),X_30),join(meet(X_299,X_300),meet(X_300,X_299))),meet(meet(X_300,X_299),X_30)) ),[0,1],$fot(meet(X_299,X_300))]]) ).
cnf(refute_0_427,plain,
( meet(meet(meet(X_300,X_299),X_30),join(meet(X_299,X_300),meet(X_300,X_299))) != meet(meet(X_300,X_299),X_30)
| meet(meet(meet(X_300,X_299),X_30),meet(X_299,X_300)) = meet(meet(X_300,X_299),X_30) ),
inference(resolve,[$cnf( $equal(join(meet(X_299,X_300),meet(X_300,X_299)),meet(X_299,X_300)) )],[refute_0_117,refute_0_426]) ).
cnf(refute_0_428,plain,
meet(meet(meet(X_300,X_299),X_30),meet(X_299,X_300)) = meet(meet(X_300,X_299),X_30),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_300,X_299),X_30),join(meet(X_299,X_300),meet(X_300,X_299))),meet(meet(X_300,X_299),X_30)) )],[refute_0_425,refute_0_427]) ).
cnf(refute_0_429,plain,
meet(meet(meet(X_300,X_299),X_30),meet(X_299,X_300)) = meet(meet(X_299,X_300),meet(meet(X_300,X_299),X_30)),
inference(subst,[],[refute_0_172:[bind(X_299,$fot(meet(X_299,X_300))),bind(X_300,$fot(meet(meet(X_300,X_299),X_30)))]]) ).
cnf(refute_0_430,plain,
( meet(meet(meet(X_300,X_299),X_30),meet(X_299,X_300)) != meet(meet(X_299,X_300),meet(meet(X_300,X_299),X_30))
| meet(meet(meet(X_300,X_299),X_30),meet(X_299,X_300)) != meet(meet(X_300,X_299),X_30)
| meet(meet(X_299,X_300),meet(meet(X_300,X_299),X_30)) = meet(meet(X_300,X_299),X_30) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_300,X_299),X_30),meet(X_299,X_300)),meet(meet(X_300,X_299),X_30)) ),[0],$fot(meet(meet(X_299,X_300),meet(meet(X_300,X_299),X_30)))]]) ).
cnf(refute_0_431,plain,
( meet(meet(meet(X_300,X_299),X_30),meet(X_299,X_300)) != meet(meet(X_300,X_299),X_30)
| meet(meet(X_299,X_300),meet(meet(X_300,X_299),X_30)) = meet(meet(X_300,X_299),X_30) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_300,X_299),X_30),meet(X_299,X_300)),meet(meet(X_299,X_300),meet(meet(X_300,X_299),X_30))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
meet(meet(X_299,X_300),meet(meet(X_300,X_299),X_30)) = meet(meet(X_300,X_299),X_30),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_300,X_299),X_30),meet(X_299,X_300)),meet(meet(X_300,X_299),X_30)) )],[refute_0_428,refute_0_431]) ).
cnf(refute_0_433,plain,
meet(meet(X_10,Z),meet(meet(Z,X_10),X_615)) = meet(meet(Z,X_10),X_615),
inference(subst,[],[refute_0_432:[bind(X_299,$fot(X_10)),bind(X_30,$fot(X_615)),bind(X_300,$fot(Z))]]) ).
cnf(refute_0_434,plain,
( meet(meet(X_10,Z),meet(meet(Z,X_10),X_615)) != meet(X_615,meet(X_10,Z))
| meet(meet(X_10,Z),meet(meet(Z,X_10),X_615)) != meet(meet(Z,X_10),X_615)
| meet(meet(Z,X_10),X_615) = meet(X_615,meet(X_10,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_10,Z),meet(meet(Z,X_10),X_615)),meet(X_615,meet(X_10,Z))) ),[0],$fot(meet(meet(Z,X_10),X_615))]]) ).
cnf(refute_0_435,plain,
( meet(meet(X_10,Z),meet(meet(Z,X_10),X_615)) != meet(X_615,meet(X_10,Z))
| meet(meet(Z,X_10),X_615) = meet(X_615,meet(X_10,Z)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_10,Z),meet(meet(Z,X_10),X_615)),meet(meet(Z,X_10),X_615)) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
meet(meet(Z,X_10),X_615) = meet(X_615,meet(X_10,Z)),
inference(resolve,[$cnf( $equal(meet(meet(X_10,Z),meet(meet(Z,X_10),X_615)),meet(X_615,meet(X_10,Z))) )],[refute_0_420,refute_0_435]) ).
cnf(refute_0_437,plain,
meet(meet(join(X_18,Z),X_615),X_18) = meet(X_18,meet(X_615,join(X_18,Z))),
inference(subst,[],[refute_0_436:[bind(Z,$fot(join(X_18,Z))),bind(X_10,$fot(X_615)),bind(X_615,$fot(X_18))]]) ).
cnf(refute_0_438,plain,
( meet(X_18,meet(X_615,join(X_18,Z))) != meet(X_615,X_18)
| meet(meet(join(X_18,Z),X_615),X_18) != meet(X_18,meet(X_615,join(X_18,Z)))
| meet(meet(join(X_18,Z),X_615),X_18) = meet(X_615,X_18) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(join(X_18,Z),X_615),X_18))),bind(Y0,$fot(meet(X_18,meet(X_615,join(X_18,Z))))),bind(Z0,$fot(meet(X_615,X_18)))]]) ).
cnf(refute_0_439,plain,
( meet(X_18,meet(X_615,join(X_18,Z))) != meet(X_615,X_18)
| meet(meet(join(X_18,Z),X_615),X_18) = meet(X_615,X_18) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_18,Z),X_615),X_18),meet(X_18,meet(X_615,join(X_18,Z)))) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
meet(meet(join(X_18,Z),X_615),X_18) = meet(X_615,X_18),
inference(resolve,[$cnf( $equal(meet(X_18,meet(X_615,join(X_18,Z))),meet(X_615,X_18)) )],[refute_0_416,refute_0_439]) ).
cnf(refute_0_441,plain,
meet(X_18,meet(join(X,X_18),meet(join(X_18,Z),X_615))) = meet(meet(join(X_18,Z),X_615),X_18),
inference(subst,[],[refute_0_293:[bind(X_126,$fot(X_18)),bind(X_25,$fot(meet(join(X_18,Z),X_615))),bind(X_483,$fot(X))]]) ).
cnf(refute_0_442,plain,
( meet(X_18,meet(join(X,X_18),meet(join(X_18,Z),X_615))) != meet(meet(join(X_18,Z),X_615),X_18)
| meet(meet(join(X_18,Z),X_615),X_18) != meet(X_615,X_18)
| meet(X_18,meet(join(X,X_18),meet(join(X_18,Z),X_615))) = meet(X_615,X_18) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(X_18,meet(join(X,X_18),meet(join(X_18,Z),X_615))))),bind(Y0,$fot(meet(meet(join(X_18,Z),X_615),X_18))),bind(Z0,$fot(meet(X_615,X_18)))]]) ).
cnf(refute_0_443,plain,
( meet(meet(join(X_18,Z),X_615),X_18) != meet(X_615,X_18)
| meet(X_18,meet(join(X,X_18),meet(join(X_18,Z),X_615))) = meet(X_615,X_18) ),
inference(resolve,[$cnf( $equal(meet(X_18,meet(join(X,X_18),meet(join(X_18,Z),X_615))),meet(meet(join(X_18,Z),X_615),X_18)) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
meet(X_18,meet(join(X,X_18),meet(join(X_18,Z),X_615))) = meet(X_615,X_18),
inference(resolve,[$cnf( $equal(meet(meet(join(X_18,Z),X_615),X_18),meet(X_615,X_18)) )],[refute_0_440,refute_0_443]) ).
cnf(refute_0_445,plain,
meet(meet(join(X,X_18),join(X_18,Z)),X_615) = meet(join(X,X_18),meet(join(X_18,Z),X_615)),
inference(subst,[],[refute_0_403:[bind(X_126,$fot(join(X_18,Z))),bind(X_127,$fot(X_615)),bind(X_25,$fot(join(X,X_18)))]]) ).
cnf(refute_0_446,plain,
meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)) = meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)),
introduced(tautology,[refl,[$fot(meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)))]]) ).
cnf(refute_0_447,plain,
( meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)) != meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615))
| meet(meet(join(X,X_18),join(X_18,Z)),X_615) != meet(join(X,X_18),meet(join(X_18,Z),X_615))
| meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)) = meet(X_18,meet(join(X,X_18),meet(join(X_18,Z),X_615))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)),meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615))) ),[1,1],$fot(meet(join(X,X_18),meet(join(X_18,Z),X_615)))]]) ).
cnf(refute_0_448,plain,
( meet(meet(join(X,X_18),join(X_18,Z)),X_615) != meet(join(X,X_18),meet(join(X_18,Z),X_615))
| meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)) = meet(X_18,meet(join(X,X_18),meet(join(X_18,Z),X_615))) ),
inference(resolve,[$cnf( $equal(meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)),meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615))) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)) = meet(X_18,meet(join(X,X_18),meet(join(X_18,Z),X_615))),
inference(resolve,[$cnf( $equal(meet(meet(join(X,X_18),join(X_18,Z)),X_615),meet(join(X,X_18),meet(join(X_18,Z),X_615))) )],[refute_0_445,refute_0_448]) ).
cnf(refute_0_450,plain,
( meet(X_18,meet(join(X,X_18),meet(join(X_18,Z),X_615))) != meet(X_615,X_18)
| meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)) != meet(X_18,meet(join(X,X_18),meet(join(X_18,Z),X_615)))
| meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)) = meet(X_615,X_18) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)))),bind(Y0,$fot(meet(X_18,meet(join(X,X_18),meet(join(X_18,Z),X_615))))),bind(Z0,$fot(meet(X_615,X_18)))]]) ).
cnf(refute_0_451,plain,
( meet(X_18,meet(join(X,X_18),meet(join(X_18,Z),X_615))) != meet(X_615,X_18)
| meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)) = meet(X_615,X_18) ),
inference(resolve,[$cnf( $equal(meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)),meet(X_18,meet(join(X,X_18),meet(join(X_18,Z),X_615)))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)) = meet(X_615,X_18),
inference(resolve,[$cnf( $equal(meet(X_18,meet(join(X,X_18),meet(join(X_18,Z),X_615))),meet(X_615,X_18)) )],[refute_0_444,refute_0_451]) ).
cnf(refute_0_453,plain,
meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615))) = meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615))),
introduced(tautology,[refl,[$fot(meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615))))]]) ).
cnf(refute_0_454,plain,
( meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615))) != meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)))
| meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)) != meet(X_615,X_18)
| meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615))) = meet(X_17,meet(X_615,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615))),meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)))) ),[1,1],$fot(meet(X_615,X_18))]]) ).
cnf(refute_0_455,plain,
( meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)) != meet(X_615,X_18)
| meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615))) = meet(X_17,meet(X_615,X_18)) ),
inference(resolve,[$cnf( $equal(meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615))),meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)))) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615))) = meet(X_17,meet(X_615,X_18)),
inference(resolve,[$cnf( $equal(meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)),meet(X_615,X_18)) )],[refute_0_452,refute_0_455]) ).
cnf(refute_0_457,plain,
meet(meet(X_17,X_18),meet(meet(join(X,X_18),join(X_18,Z)),X_615)) = meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615))),
inference(subst,[],[refute_0_403:[bind(X_126,$fot(X_18)),bind(X_127,$fot(meet(meet(join(X,X_18),join(X_18,Z)),X_615))),bind(X_25,$fot(X_17))]]) ).
cnf(refute_0_458,plain,
( meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615))) != meet(X_17,meet(X_615,X_18))
| meet(meet(X_17,X_18),meet(meet(join(X,X_18),join(X_18,Z)),X_615)) != meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)))
| meet(meet(X_17,X_18),meet(meet(join(X,X_18),join(X_18,Z)),X_615)) = meet(X_17,meet(X_615,X_18)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(X_17,X_18),meet(meet(join(X,X_18),join(X_18,Z)),X_615)))),bind(Y0,$fot(meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615))))),bind(Z0,$fot(meet(X_17,meet(X_615,X_18))))]]) ).
cnf(refute_0_459,plain,
( meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615))) != meet(X_17,meet(X_615,X_18))
| meet(meet(X_17,X_18),meet(meet(join(X,X_18),join(X_18,Z)),X_615)) = meet(X_17,meet(X_615,X_18)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_17,X_18),meet(meet(join(X,X_18),join(X_18,Z)),X_615)),meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615)))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
meet(meet(X_17,X_18),meet(meet(join(X,X_18),join(X_18,Z)),X_615)) = meet(X_17,meet(X_615,X_18)),
inference(resolve,[$cnf( $equal(meet(X_17,meet(X_18,meet(meet(join(X,X_18),join(X_18,Z)),X_615))),meet(X_17,meet(X_615,X_18))) )],[refute_0_456,refute_0_459]) ).
cnf(refute_0_461,plain,
( meet(meet(X_17,X_18),meet(meet(join(X,X_18),join(X_18,Z)),X_615)) != meet(X_17,meet(X_615,X_18))
| meet(meet(X_17,X_18),meet(meet(join(X,X_18),join(X_18,Z)),X_615)) != meet(X_615,meet(X_17,X_18))
| meet(X_17,meet(X_615,X_18)) = meet(X_615,meet(X_17,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_17,X_18),meet(meet(join(X,X_18),join(X_18,Z)),X_615)),meet(X_615,meet(X_17,X_18))) ),[0],$fot(meet(X_17,meet(X_615,X_18)))]]) ).
cnf(refute_0_462,plain,
( meet(meet(X_17,X_18),meet(meet(join(X,X_18),join(X_18,Z)),X_615)) != meet(X_615,meet(X_17,X_18))
| meet(X_17,meet(X_615,X_18)) = meet(X_615,meet(X_17,X_18)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_17,X_18),meet(meet(join(X,X_18),join(X_18,Z)),X_615)),meet(X_17,meet(X_615,X_18))) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
meet(X_17,meet(X_615,X_18)) = meet(X_615,meet(X_17,X_18)),
inference(resolve,[$cnf( $equal(meet(meet(X_17,X_18),meet(meet(join(X,X_18),join(X_18,Z)),X_615)),meet(X_615,meet(X_17,X_18))) )],[refute_0_415,refute_0_462]) ).
cnf(refute_0_464,plain,
( meet(X_17,meet(X_615,X_18)) != meet(X_615,meet(X_17,X_18))
| meet(X_615,meet(X_17,X_18)) = meet(X_17,meet(X_615,X_18)) ),
inference(subst,[],[refute_0_91:[bind(X0,$fot(meet(X_17,meet(X_615,X_18)))),bind(Y0,$fot(meet(X_615,meet(X_17,X_18))))]]) ).
cnf(refute_0_465,plain,
meet(X_615,meet(X_17,X_18)) = meet(X_17,meet(X_615,X_18)),
inference(resolve,[$cnf( $equal(meet(X_17,meet(X_615,X_18)),meet(X_615,meet(X_17,X_18))) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
meet(meet(X_616,X_18),meet(X_616,X_615)) = meet(X_616,meet(meet(X_616,X_18),X_615)),
inference(subst,[],[refute_0_465:[bind(X_17,$fot(X_616)),bind(X_18,$fot(X_615)),bind(X_615,$fot(meet(X_616,X_18)))]]) ).
cnf(refute_0_467,plain,
( meet(X_616,meet(meet(X_616,X_18),X_615)) != meet(X_616,meet(X_18,X_615))
| meet(meet(X_616,X_18),meet(X_616,X_615)) != meet(X_616,meet(meet(X_616,X_18),X_615))
| meet(meet(X_616,X_18),meet(X_616,X_615)) = meet(X_616,meet(X_18,X_615)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(X_616,X_18),meet(X_616,X_615)))),bind(Y0,$fot(meet(X_616,meet(meet(X_616,X_18),X_615)))),bind(Z0,$fot(meet(X_616,meet(X_18,X_615))))]]) ).
cnf(refute_0_468,plain,
( meet(X_616,meet(meet(X_616,X_18),X_615)) != meet(X_616,meet(X_18,X_615))
| meet(meet(X_616,X_18),meet(X_616,X_615)) = meet(X_616,meet(X_18,X_615)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_616,X_18),meet(X_616,X_615)),meet(X_616,meet(meet(X_616,X_18),X_615))) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
meet(meet(X_616,X_18),meet(X_616,X_615)) = meet(X_616,meet(X_18,X_615)),
inference(resolve,[$cnf( $equal(meet(X_616,meet(meet(X_616,X_18),X_615)),meet(X_616,meet(X_18,X_615))) )],[refute_0_411,refute_0_468]) ).
cnf(refute_0_470,plain,
( meet(meet(X_616,X_18),meet(X_616,X_615)) != meet(X_615,meet(X_616,X_18))
| meet(meet(X_616,X_18),meet(X_616,X_615)) != meet(X_616,meet(X_18,X_615))
| meet(X_616,meet(X_18,X_615)) = meet(X_615,meet(X_616,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_616,X_18),meet(X_616,X_615)),meet(X_615,meet(X_616,X_18))) ),[0],$fot(meet(X_616,meet(X_18,X_615)))]]) ).
cnf(refute_0_471,plain,
( meet(meet(X_616,X_18),meet(X_616,X_615)) != meet(X_615,meet(X_616,X_18))
| meet(X_616,meet(X_18,X_615)) = meet(X_615,meet(X_616,X_18)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_616,X_18),meet(X_616,X_615)),meet(X_616,meet(X_18,X_615))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
meet(X_616,meet(X_18,X_615)) = meet(X_615,meet(X_616,X_18)),
inference(resolve,[$cnf( $equal(meet(meet(X_616,X_18),meet(X_616,X_615)),meet(X_615,meet(X_616,X_18))) )],[refute_0_298,refute_0_471]) ).
cnf(refute_0_473,plain,
( meet(X_616,meet(X_18,X_615)) != meet(X_615,meet(X_616,X_18))
| meet(X_615,meet(X_616,X_18)) = meet(X_616,meet(X_18,X_615)) ),
inference(subst,[],[refute_0_91:[bind(X0,$fot(meet(X_616,meet(X_18,X_615)))),bind(Y0,$fot(meet(X_615,meet(X_616,X_18))))]]) ).
cnf(refute_0_474,plain,
meet(X_615,meet(X_616,X_18)) = meet(X_616,meet(X_18,X_615)),
inference(resolve,[$cnf( $equal(meet(X_616,meet(X_18,X_615)),meet(X_615,meet(X_616,X_18))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
meet(c,meet(a,b)) = meet(a,meet(b,c)),
inference(subst,[],[refute_0_474:[bind(X_18,$fot(b)),bind(X_615,$fot(c)),bind(X_616,$fot(a))]]) ).
cnf(refute_0_476,plain,
( meet(a,meet(b,c)) != meet(a,meet(b,c))
| meet(c,meet(a,b)) != meet(a,meet(b,c))
| meet(c,meet(a,b)) = meet(a,meet(b,c)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(c,meet(a,b)),meet(a,meet(b,c))) ),[1],$fot(meet(a,meet(b,c)))]]) ).
cnf(refute_0_477,plain,
( meet(a,meet(b,c)) != meet(a,meet(b,c))
| meet(c,meet(a,b)) = meet(a,meet(b,c)) ),
inference(resolve,[$cnf( $equal(meet(c,meet(a,b)),meet(a,meet(b,c))) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
meet(a,meet(b,c)) != meet(a,meet(b,c)),
inference(resolve,[$cnf( $equal(meet(c,meet(a,b)),meet(a,meet(b,c))) )],[refute_0_477,refute_0_176]) ).
cnf(refute_0_479,plain,
meet(a,meet(b,c)) = meet(a,meet(b,c)),
introduced(tautology,[refl,[$fot(meet(a,meet(b,c)))]]) ).
cnf(refute_0_480,plain,
$false,
inference(resolve,[$cnf( $equal(meet(a,meet(b,c)),meet(a,meet(b,c))) )],[refute_0_479,refute_0_478]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT013-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 29 01:38:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 216.95/217.12 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 216.95/217.12
% 216.95/217.12 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 216.95/217.16
%------------------------------------------------------------------------------