TSTP Solution File: REL050+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL050+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 : Mon Jul 18 19:46:19 EDT 2022
% Result : Theorem 179.71s 179.94s
% Output : CNFRefutation 180.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 232
% Number of leaves : 759
% Syntax : Number of formulae : 3451 (1769 unt; 0 def)
% Number of atoms : 5875 (5874 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 4853 (2429 ~;2424 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 6708 ( 138 sgn 78 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0) ).
fof(maddux2_join_associativity,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) ).
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) ).
fof(maddux4_definiton_of_meet,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) ).
fof(composition_associativity,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) ).
fof(composition_identity,axiom,
! [X0] : composition(X0,one) = X0 ).
fof(composition_distributivity,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) ).
fof(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0 ).
fof(converse_additivity,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) ).
fof(converse_multiplicativity,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ).
fof(converse_cancellativity,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) ).
fof(def_top,axiom,
! [X0] : top = join(X0,complement(X0)) ).
fof(def_zero,axiom,
! [X0] : zero = meet(X0,complement(X0)) ).
fof(goals,conjecture,
! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top) ).
fof(subgoal_0,plain,
! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0] : complement(composition(X0,top)) != composition(complement(composition(X0,top)),top),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
complement(composition(skolemFOFtoCNF_X0,top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[maddux4_definiton_of_meet]) ).
fof(normalize_0_3,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[maddux3_a_kind_of_de_Morgan]) ).
fof(normalize_0_5,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[maddux1_join_commutativity]) ).
fof(normalize_0_7,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_0_9,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_0_11,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_0_13,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_0_15,plain,
! [X0] : converse(converse(X0)) = X0,
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_0_17,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_0_19,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_21,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[converse_additivity]) ).
fof(normalize_0_23,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[composition_distributivity]) ).
fof(normalize_0_25,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[composition_associativity]) ).
fof(normalize_0_27,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(specialize,[],[normalize_0_26]) ).
cnf(refute_0_0,plain,
complement(composition(skolemFOFtoCNF_X0,top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
meet(join(complement(X_10),complement(X_11)),X1) = complement(join(complement(join(complement(X_10),complement(X_11))),complement(X1))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(join(complement(X_10),complement(X_11))))]]) ).
cnf(refute_0_3,plain,
meet(X_10,X_11) = complement(join(complement(X_10),complement(X_11))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_10)),bind(X1,$fot(X_11))]]) ).
cnf(refute_0_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( meet(X_10,X_11) != complement(join(complement(X_10),complement(X_11)))
| complement(join(complement(X_10),complement(X_11))) = meet(X_10,X_11) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_10,X_11))),bind(Y,$fot(complement(join(complement(X_10),complement(X_11)))))]]) ).
cnf(refute_0_8,plain,
complement(join(complement(X_10),complement(X_11))) = meet(X_10,X_11),
inference(resolve,[$cnf( $equal(meet(X_10,X_11),complement(join(complement(X_10),complement(X_11)))) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
( complement(join(complement(X_10),complement(X_11))) != meet(X_10,X_11)
| meet(join(complement(X_10),complement(X_11)),X1) != complement(join(complement(join(complement(X_10),complement(X_11))),complement(X1)))
| meet(join(complement(X_10),complement(X_11)),X1) = complement(join(meet(X_10,X_11),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_10),complement(X_11)),X1),complement(join(complement(join(complement(X_10),complement(X_11))),complement(X1)))) ),[1,0,0],$fot(meet(X_10,X_11))]]) ).
cnf(refute_0_10,plain,
( meet(join(complement(X_10),complement(X_11)),X1) != complement(join(complement(join(complement(X_10),complement(X_11))),complement(X1)))
| meet(join(complement(X_10),complement(X_11)),X1) = complement(join(meet(X_10,X_11),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_10),complement(X_11))),meet(X_10,X_11)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
meet(join(complement(X_10),complement(X_11)),X1) = complement(join(meet(X_10,X_11),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_10),complement(X_11)),X1),complement(join(complement(join(complement(X_10),complement(X_11))),complement(X1)))) )],[refute_0_2,refute_0_10]) ).
cnf(refute_0_12,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_13,plain,
join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_14,plain,
( join(X0,X1) != join(X1,X0)
| join(X1,X0) = join(X0,X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X1,X0)))]]) ).
cnf(refute_0_15,plain,
join(X1,X0) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_17,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) ),[0],$fot(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_18,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_0_12,refute_0_18]) ).
cnf(refute_0_20,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_21,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_22,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_0_1,refute_0_21]) ).
cnf(refute_0_23,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_24,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) ),[1,1],$fot(meet(X0,X1))]]) ).
cnf(refute_0_25,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_22,refute_0_25]) ).
cnf(refute_0_27,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_28,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_6,refute_0_27]) ).
cnf(refute_0_29,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))),bind(Y,$fot(join(complement(join(complement(X0),X1)),meet(X0,X1)))),bind(Z,$fot(join(meet(X0,X1),complement(join(complement(X0),X1)))))]]) ).
cnf(refute_0_30,plain,
( join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_20,refute_0_30]) ).
cnf(refute_0_32,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(meet(X0,X1),complement(join(complement(X0),X1)))) ),[0],$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_33,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_19,refute_0_33]) ).
cnf(refute_0_35,plain,
X_39 = join(meet(X_39,complement(X_39)),complement(join(complement(X_39),complement(X_39)))),
inference(subst,[],[refute_0_34:[bind(X0,$fot(X_39)),bind(X1,$fot(complement(X_39)))]]) ).
cnf(refute_0_36,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_37,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_38,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) ),[0],$fot(join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_39,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
join(complement(X_34),composition(converse(one),complement(composition(one,X_34)))) = complement(X_34),
inference(subst,[],[refute_0_40:[bind(X0,$fot(one)),bind(X1,$fot(X_34))]]) ).
cnf(refute_0_42,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_43,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_42:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_44,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_45,plain,
converse(composition(converse(X0),X_5)) = composition(converse(X_5),converse(converse(X0))),
inference(subst,[],[refute_0_44:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_5))]]) ).
cnf(refute_0_46,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_47,plain,
( converse(composition(converse(X0),X_5)) != composition(converse(X_5),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_5)) = composition(converse(X_5),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_5)),composition(converse(X_5),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_48,plain,
( converse(composition(converse(X0),X_5)) != composition(converse(X_5),converse(converse(X0)))
| converse(composition(converse(X0),X_5)) = composition(converse(X_5),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
converse(composition(converse(X0),X_5)) = composition(converse(X_5),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_5)),composition(converse(X_5),converse(converse(X0)))) )],[refute_0_45,refute_0_48]) ).
cnf(refute_0_50,plain,
converse(composition(converse(X_28),one)) = composition(converse(one),X_28),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_28)),bind(X_5,$fot(one))]]) ).
cnf(refute_0_51,plain,
composition(converse(X_28),one) = converse(X_28),
inference(subst,[],[refute_0_42:[bind(X0,$fot(converse(X_28)))]]) ).
cnf(refute_0_52,plain,
( composition(converse(X_28),one) != converse(X_28)
| converse(composition(converse(X_28),one)) != composition(converse(one),X_28)
| converse(converse(X_28)) = composition(converse(one),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_28),one)),composition(converse(one),X_28)) ),[0,0],$fot(converse(X_28))]]) ).
cnf(refute_0_53,plain,
( converse(composition(converse(X_28),one)) != composition(converse(one),X_28)
| converse(converse(X_28)) = composition(converse(one),X_28) ),
inference(resolve,[$cnf( $equal(composition(converse(X_28),one),converse(X_28)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
converse(converse(X_28)) = composition(converse(one),X_28),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_28),one)),composition(converse(one),X_28)) )],[refute_0_50,refute_0_53]) ).
cnf(refute_0_55,plain,
converse(converse(X_28)) = X_28,
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_28))]]) ).
cnf(refute_0_56,plain,
( converse(converse(X_28)) != X_28
| converse(converse(X_28)) != composition(converse(one),X_28)
| X_28 = composition(converse(one),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_28)),composition(converse(one),X_28)) ),[0],$fot(X_28)]]) ).
cnf(refute_0_57,plain,
( converse(converse(X_28)) != composition(converse(one),X_28)
| X_28 = composition(converse(one),X_28) ),
inference(resolve,[$cnf( $equal(converse(converse(X_28)),X_28) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
X_28 = composition(converse(one),X_28),
inference(resolve,[$cnf( $equal(converse(converse(X_28)),composition(converse(one),X_28)) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_58:[bind(X_28,$fot(one))]]) ).
cnf(refute_0_60,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_61,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_63,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_43,refute_0_63]) ).
cnf(refute_0_65,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_6:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_66,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
( converse(one) != one
| join(complement(X_34),composition(converse(one),complement(composition(one,X_34)))) != complement(X_34)
| join(complement(X_34),composition(one,complement(composition(one,X_34)))) = complement(X_34) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_34),composition(converse(one),complement(composition(one,X_34)))),complement(X_34)) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_68,plain,
( join(complement(X_34),composition(converse(one),complement(composition(one,X_34)))) != complement(X_34)
| join(complement(X_34),composition(one,complement(composition(one,X_34)))) = complement(X_34) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
join(complement(X_34),composition(one,complement(composition(one,X_34)))) = complement(X_34),
inference(resolve,[$cnf( $equal(join(complement(X_34),composition(converse(one),complement(composition(one,X_34)))),complement(X_34)) )],[refute_0_41,refute_0_68]) ).
cnf(refute_0_70,plain,
composition(converse(one),X_28) = composition(converse(one),X_28),
introduced(tautology,[refl,[$fot(composition(converse(one),X_28))]]) ).
cnf(refute_0_71,plain,
( composition(converse(one),X_28) != composition(converse(one),X_28)
| converse(one) != one
| composition(converse(one),X_28) = composition(one,X_28) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_28),composition(converse(one),X_28)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_72,plain,
( converse(one) != one
| composition(converse(one),X_28) = composition(one,X_28) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_28),composition(converse(one),X_28)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
composition(converse(one),X_28) = composition(one,X_28),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_66,refute_0_72]) ).
cnf(refute_0_74,plain,
( X_28 != composition(converse(one),X_28)
| composition(converse(one),X_28) != composition(one,X_28)
| X_28 = composition(one,X_28) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_28,composition(one,X_28)) ),[0],$fot(composition(converse(one),X_28))]]) ).
cnf(refute_0_75,plain,
( X_28 != composition(converse(one),X_28)
| X_28 = composition(one,X_28) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_28),composition(one,X_28)) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
X_28 = composition(one,X_28),
inference(resolve,[$cnf( $equal(X_28,composition(converse(one),X_28)) )],[refute_0_58,refute_0_75]) ).
cnf(refute_0_77,plain,
( X_28 != composition(one,X_28)
| composition(one,X_28) = X_28 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_28)),bind(Y,$fot(composition(one,X_28)))]]) ).
cnf(refute_0_78,plain,
composition(one,X_28) = X_28,
inference(resolve,[$cnf( $equal(X_28,composition(one,X_28)) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
composition(one,X_34) = X_34,
inference(subst,[],[refute_0_78:[bind(X_28,$fot(X_34))]]) ).
cnf(refute_0_80,plain,
complement(composition(one,X_34)) = complement(composition(one,X_34)),
introduced(tautology,[refl,[$fot(complement(composition(one,X_34)))]]) ).
cnf(refute_0_81,plain,
( complement(composition(one,X_34)) != complement(composition(one,X_34))
| composition(one,X_34) != X_34
| complement(composition(one,X_34)) = complement(X_34) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(one,X_34)),complement(composition(one,X_34))) ),[1,0],$fot(X_34)]]) ).
cnf(refute_0_82,plain,
( composition(one,X_34) != X_34
| complement(composition(one,X_34)) = complement(X_34) ),
inference(resolve,[$cnf( $equal(complement(composition(one,X_34)),complement(composition(one,X_34))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
complement(composition(one,X_34)) = complement(X_34),
inference(resolve,[$cnf( $equal(composition(one,X_34),X_34) )],[refute_0_79,refute_0_82]) ).
cnf(refute_0_84,plain,
composition(one,complement(composition(one,X_34))) = complement(composition(one,X_34)),
inference(subst,[],[refute_0_78:[bind(X_28,$fot(complement(composition(one,X_34))))]]) ).
cnf(refute_0_85,plain,
( complement(composition(one,X_34)) != complement(X_34)
| composition(one,complement(composition(one,X_34))) != complement(composition(one,X_34))
| composition(one,complement(composition(one,X_34))) = complement(X_34) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(one,complement(composition(one,X_34))))),bind(Y,$fot(complement(composition(one,X_34)))),bind(Z,$fot(complement(X_34)))]]) ).
cnf(refute_0_86,plain,
( complement(composition(one,X_34)) != complement(X_34)
| composition(one,complement(composition(one,X_34))) = complement(X_34) ),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(one,X_34))),complement(composition(one,X_34))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
composition(one,complement(composition(one,X_34))) = complement(X_34),
inference(resolve,[$cnf( $equal(complement(composition(one,X_34)),complement(X_34)) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
join(complement(X_34),composition(one,complement(composition(one,X_34)))) = join(complement(X_34),composition(one,complement(composition(one,X_34)))),
introduced(tautology,[refl,[$fot(join(complement(X_34),composition(one,complement(composition(one,X_34)))))]]) ).
cnf(refute_0_89,plain,
( composition(one,complement(composition(one,X_34))) != complement(X_34)
| join(complement(X_34),composition(one,complement(composition(one,X_34)))) != join(complement(X_34),composition(one,complement(composition(one,X_34))))
| join(complement(X_34),composition(one,complement(composition(one,X_34)))) = join(complement(X_34),complement(X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_34),composition(one,complement(composition(one,X_34)))),join(complement(X_34),composition(one,complement(composition(one,X_34))))) ),[1,1],$fot(complement(X_34))]]) ).
cnf(refute_0_90,plain,
( composition(one,complement(composition(one,X_34))) != complement(X_34)
| join(complement(X_34),composition(one,complement(composition(one,X_34)))) = join(complement(X_34),complement(X_34)) ),
inference(resolve,[$cnf( $equal(join(complement(X_34),composition(one,complement(composition(one,X_34)))),join(complement(X_34),composition(one,complement(composition(one,X_34))))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
join(complement(X_34),composition(one,complement(composition(one,X_34)))) = join(complement(X_34),complement(X_34)),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(one,X_34))),complement(X_34)) )],[refute_0_87,refute_0_90]) ).
cnf(refute_0_92,plain,
( join(complement(X_34),composition(one,complement(composition(one,X_34)))) != complement(X_34)
| join(complement(X_34),composition(one,complement(composition(one,X_34)))) != join(complement(X_34),complement(X_34))
| join(complement(X_34),complement(X_34)) = complement(X_34) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_34),composition(one,complement(composition(one,X_34)))),complement(X_34)) ),[0],$fot(join(complement(X_34),complement(X_34)))]]) ).
cnf(refute_0_93,plain,
( join(complement(X_34),composition(one,complement(composition(one,X_34)))) != complement(X_34)
| join(complement(X_34),complement(X_34)) = complement(X_34) ),
inference(resolve,[$cnf( $equal(join(complement(X_34),composition(one,complement(composition(one,X_34)))),join(complement(X_34),complement(X_34))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
join(complement(X_34),complement(X_34)) = complement(X_34),
inference(resolve,[$cnf( $equal(join(complement(X_34),composition(one,complement(composition(one,X_34)))),complement(X_34)) )],[refute_0_69,refute_0_93]) ).
cnf(refute_0_95,plain,
join(complement(X_39),complement(X_39)) = complement(X_39),
inference(subst,[],[refute_0_94:[bind(X_34,$fot(X_39))]]) ).
cnf(refute_0_96,plain,
( X_39 != join(meet(X_39,complement(X_39)),complement(join(complement(X_39),complement(X_39))))
| join(complement(X_39),complement(X_39)) != complement(X_39)
| X_39 = join(meet(X_39,complement(X_39)),complement(complement(X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(X_39,join(meet(X_39,complement(X_39)),complement(join(complement(X_39),complement(X_39))))) ),[1,1,0],$fot(complement(X_39))]]) ).
cnf(refute_0_97,plain,
( X_39 != join(meet(X_39,complement(X_39)),complement(join(complement(X_39),complement(X_39))))
| X_39 = join(meet(X_39,complement(X_39)),complement(complement(X_39))) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),complement(X_39)),complement(X_39)) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
X_39 = join(meet(X_39,complement(X_39)),complement(complement(X_39))),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,complement(X_39)),complement(join(complement(X_39),complement(X_39))))) )],[refute_0_35,refute_0_97]) ).
cnf(refute_0_99,plain,
join(complement(complement(X_39)),zero) = join(zero,complement(complement(X_39))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(zero)),bind(X1,$fot(complement(complement(X_39))))]]) ).
cnf(refute_0_100,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_101,plain,
( zero != meet(X0,complement(X0))
| meet(X0,complement(X0)) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(meet(X0,complement(X0))))]]) ).
cnf(refute_0_102,plain,
meet(X0,complement(X0)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X0,complement(X0))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
meet(X_39,complement(X_39)) = zero,
inference(subst,[],[refute_0_102:[bind(X0,$fot(X_39))]]) ).
cnf(refute_0_104,plain,
join(complement(complement(X_39)),meet(X_39,complement(X_39))) = join(complement(complement(X_39)),meet(X_39,complement(X_39))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_39)),meet(X_39,complement(X_39))))]]) ).
cnf(refute_0_105,plain,
( join(complement(complement(X_39)),meet(X_39,complement(X_39))) != join(complement(complement(X_39)),meet(X_39,complement(X_39)))
| meet(X_39,complement(X_39)) != zero
| join(complement(complement(X_39)),meet(X_39,complement(X_39))) = join(complement(complement(X_39)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_39)),meet(X_39,complement(X_39))),join(complement(complement(X_39)),meet(X_39,complement(X_39)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_106,plain,
( meet(X_39,complement(X_39)) != zero
| join(complement(complement(X_39)),meet(X_39,complement(X_39))) = join(complement(complement(X_39)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_39)),meet(X_39,complement(X_39))),join(complement(complement(X_39)),meet(X_39,complement(X_39)))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
join(complement(complement(X_39)),meet(X_39,complement(X_39))) = join(complement(complement(X_39)),zero),
inference(resolve,[$cnf( $equal(meet(X_39,complement(X_39)),zero) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
( join(complement(complement(X_39)),meet(X_39,complement(X_39))) != join(complement(complement(X_39)),zero)
| join(complement(complement(X_39)),zero) != join(zero,complement(complement(X_39)))
| join(complement(complement(X_39)),meet(X_39,complement(X_39))) = join(zero,complement(complement(X_39))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(X_39)),meet(X_39,complement(X_39))))),bind(Y,$fot(join(complement(complement(X_39)),zero))),bind(Z,$fot(join(zero,complement(complement(X_39)))))]]) ).
cnf(refute_0_109,plain,
( join(complement(complement(X_39)),zero) != join(zero,complement(complement(X_39)))
| join(complement(complement(X_39)),meet(X_39,complement(X_39))) = join(zero,complement(complement(X_39))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_39)),meet(X_39,complement(X_39))),join(complement(complement(X_39)),zero)) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
join(complement(complement(X_39)),meet(X_39,complement(X_39))) = join(zero,complement(complement(X_39))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_39)),zero),join(zero,complement(complement(X_39)))) )],[refute_0_99,refute_0_109]) ).
cnf(refute_0_111,plain,
join(meet(X_39,complement(X_39)),complement(complement(X_39))) = join(complement(complement(X_39)),meet(X_39,complement(X_39))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(complement(X_39)))),bind(X1,$fot(meet(X_39,complement(X_39))))]]) ).
cnf(refute_0_112,plain,
( join(complement(complement(X_39)),meet(X_39,complement(X_39))) != join(zero,complement(complement(X_39)))
| join(meet(X_39,complement(X_39)),complement(complement(X_39))) != join(complement(complement(X_39)),meet(X_39,complement(X_39)))
| join(meet(X_39,complement(X_39)),complement(complement(X_39))) = join(zero,complement(complement(X_39))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_39,complement(X_39)),complement(complement(X_39))))),bind(Y,$fot(join(complement(complement(X_39)),meet(X_39,complement(X_39))))),bind(Z,$fot(join(zero,complement(complement(X_39)))))]]) ).
cnf(refute_0_113,plain,
( join(complement(complement(X_39)),meet(X_39,complement(X_39))) != join(zero,complement(complement(X_39)))
| join(meet(X_39,complement(X_39)),complement(complement(X_39))) = join(zero,complement(complement(X_39))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,complement(X_39)),complement(complement(X_39))),join(complement(complement(X_39)),meet(X_39,complement(X_39)))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
join(meet(X_39,complement(X_39)),complement(complement(X_39))) = join(zero,complement(complement(X_39))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_39)),meet(X_39,complement(X_39))),join(zero,complement(complement(X_39)))) )],[refute_0_110,refute_0_113]) ).
cnf(refute_0_115,plain,
( X_39 != join(meet(X_39,complement(X_39)),complement(complement(X_39)))
| join(meet(X_39,complement(X_39)),complement(complement(X_39))) != join(zero,complement(complement(X_39)))
| X_39 = join(zero,complement(complement(X_39))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,join(zero,complement(complement(X_39)))) ),[0],$fot(join(meet(X_39,complement(X_39)),complement(complement(X_39))))]]) ).
cnf(refute_0_116,plain,
( X_39 != join(meet(X_39,complement(X_39)),complement(complement(X_39)))
| X_39 = join(zero,complement(complement(X_39))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,complement(X_39)),complement(complement(X_39))),join(zero,complement(complement(X_39)))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
X_39 = join(zero,complement(complement(X_39))),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,complement(X_39)),complement(complement(X_39)))) )],[refute_0_98,refute_0_116]) ).
cnf(refute_0_118,plain,
join(complement(X0),complement(X1)) = join(zero,complement(complement(join(complement(X0),complement(X1))))),
inference(subst,[],[refute_0_117:[bind(X_39,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_119,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(X0),complement(X1)) != join(zero,complement(complement(join(complement(X0),complement(X1)))))
| join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(complement(join(complement(X0),complement(X1)))))) ),[1,1,0],$fot(meet(X0,X1))]]) ).
cnf(refute_0_120,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(complement(join(complement(X0),complement(X1)))))
| join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_22,refute_0_119]) ).
cnf(refute_0_121,plain,
join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(complement(join(complement(X0),complement(X1)))))) )],[refute_0_118,refute_0_120]) ).
cnf(refute_0_122,plain,
X_39 = join(meet(X_39,complement(X1)),complement(join(complement(X_39),complement(X1)))),
inference(subst,[],[refute_0_34:[bind(X0,$fot(X_39)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_0_123,plain,
meet(X_39,X1) = complement(join(complement(X_39),complement(X1))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_39))]]) ).
cnf(refute_0_124,plain,
( meet(X_39,X1) != complement(join(complement(X_39),complement(X1)))
| complement(join(complement(X_39),complement(X1))) = meet(X_39,X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_39,X1))),bind(Y,$fot(complement(join(complement(X_39),complement(X1)))))]]) ).
cnf(refute_0_125,plain,
complement(join(complement(X_39),complement(X1))) = meet(X_39,X1),
inference(resolve,[$cnf( $equal(meet(X_39,X1),complement(join(complement(X_39),complement(X1)))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
( X_39 != join(meet(X_39,complement(X1)),complement(join(complement(X_39),complement(X1))))
| complement(join(complement(X_39),complement(X1))) != meet(X_39,X1)
| X_39 = join(meet(X_39,complement(X1)),meet(X_39,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_39,join(meet(X_39,complement(X1)),complement(join(complement(X_39),complement(X1))))) ),[1,1],$fot(meet(X_39,X1))]]) ).
cnf(refute_0_127,plain,
( X_39 != join(meet(X_39,complement(X1)),complement(join(complement(X_39),complement(X1))))
| X_39 = join(meet(X_39,complement(X1)),meet(X_39,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_39),complement(X1))),meet(X_39,X1)) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
X_39 = join(meet(X_39,complement(X1)),meet(X_39,X1)),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,complement(X1)),complement(join(complement(X_39),complement(X1))))) )],[refute_0_122,refute_0_127]) ).
cnf(refute_0_129,plain,
join(meet(X_39,complement(X1)),meet(X_39,X1)) = join(meet(X_39,X1),meet(X_39,complement(X1))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(meet(X_39,X1))),bind(X1,$fot(meet(X_39,complement(X1))))]]) ).
cnf(refute_0_130,plain,
( X_39 != join(meet(X_39,complement(X1)),meet(X_39,X1))
| join(meet(X_39,complement(X1)),meet(X_39,X1)) != join(meet(X_39,X1),meet(X_39,complement(X1)))
| X_39 = join(meet(X_39,X1),meet(X_39,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,join(meet(X_39,X1),meet(X_39,complement(X1)))) ),[0],$fot(join(meet(X_39,complement(X1)),meet(X_39,X1)))]]) ).
cnf(refute_0_131,plain,
( X_39 != join(meet(X_39,complement(X1)),meet(X_39,X1))
| X_39 = join(meet(X_39,X1),meet(X_39,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,complement(X1)),meet(X_39,X1)),join(meet(X_39,X1),meet(X_39,complement(X1)))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
X_39 = join(meet(X_39,X1),meet(X_39,complement(X1))),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,complement(X1)),meet(X_39,X1))) )],[refute_0_128,refute_0_131]) ).
cnf(refute_0_133,plain,
X_48 = join(meet(X_48,top),meet(X_48,complement(top))),
inference(subst,[],[refute_0_132:[bind(X1,$fot(top)),bind(X_39,$fot(X_48))]]) ).
cnf(refute_0_134,plain,
zero = meet(join(complement(X_10),complement(X_11)),complement(join(complement(X_10),complement(X_11)))),
inference(subst,[],[refute_0_100:[bind(X0,$fot(join(complement(X_10),complement(X_11))))]]) ).
cnf(refute_0_135,plain,
( complement(join(complement(X_10),complement(X_11))) != meet(X_10,X_11)
| zero != meet(join(complement(X_10),complement(X_11)),complement(join(complement(X_10),complement(X_11))))
| zero = meet(join(complement(X_10),complement(X_11)),meet(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_10),complement(X_11)),complement(join(complement(X_10),complement(X_11))))) ),[1,1],$fot(meet(X_10,X_11))]]) ).
cnf(refute_0_136,plain,
( zero != meet(join(complement(X_10),complement(X_11)),complement(join(complement(X_10),complement(X_11))))
| zero = meet(join(complement(X_10),complement(X_11)),meet(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_10),complement(X_11))),meet(X_10,X_11)) )],[refute_0_8,refute_0_135]) ).
cnf(refute_0_137,plain,
zero = meet(join(complement(X_10),complement(X_11)),meet(X_10,X_11)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_10),complement(X_11)),complement(join(complement(X_10),complement(X_11))))) )],[refute_0_134,refute_0_136]) ).
cnf(refute_0_138,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_139,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_140,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
join(meet(X_10,X_11),complement(meet(X_10,X_11))) = top,
inference(subst,[],[refute_0_140:[bind(X0,$fot(meet(X_10,X_11)))]]) ).
cnf(refute_0_142,plain,
complement(join(meet(X_10,X_11),complement(meet(X_10,X_11)))) = complement(join(meet(X_10,X_11),complement(meet(X_10,X_11)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_10,X_11),complement(meet(X_10,X_11)))))]]) ).
cnf(refute_0_143,plain,
( complement(join(meet(X_10,X_11),complement(meet(X_10,X_11)))) != complement(join(meet(X_10,X_11),complement(meet(X_10,X_11))))
| join(meet(X_10,X_11),complement(meet(X_10,X_11))) != top
| complement(join(meet(X_10,X_11),complement(meet(X_10,X_11)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_10,X_11),complement(meet(X_10,X_11)))),complement(join(meet(X_10,X_11),complement(meet(X_10,X_11))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_144,plain,
( join(meet(X_10,X_11),complement(meet(X_10,X_11))) != top
| complement(join(meet(X_10,X_11),complement(meet(X_10,X_11)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_10,X_11),complement(meet(X_10,X_11)))),complement(join(meet(X_10,X_11),complement(meet(X_10,X_11))))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
complement(join(meet(X_10,X_11),complement(meet(X_10,X_11)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_10,X_11),complement(meet(X_10,X_11))),top) )],[refute_0_141,refute_0_144]) ).
cnf(refute_0_146,plain,
meet(join(complement(X_10),complement(X_11)),meet(X_10,X_11)) = complement(join(meet(X_10,X_11),complement(meet(X_10,X_11)))),
inference(subst,[],[refute_0_11:[bind(X1,$fot(meet(X_10,X_11)))]]) ).
cnf(refute_0_147,plain,
( complement(join(meet(X_10,X_11),complement(meet(X_10,X_11)))) != complement(top)
| meet(join(complement(X_10),complement(X_11)),meet(X_10,X_11)) != complement(join(meet(X_10,X_11),complement(meet(X_10,X_11))))
| meet(join(complement(X_10),complement(X_11)),meet(X_10,X_11)) = complement(top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(complement(X_10),complement(X_11)),meet(X_10,X_11)))),bind(Y,$fot(complement(join(meet(X_10,X_11),complement(meet(X_10,X_11)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_148,plain,
( complement(join(meet(X_10,X_11),complement(meet(X_10,X_11)))) != complement(top)
| meet(join(complement(X_10),complement(X_11)),meet(X_10,X_11)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_10),complement(X_11)),meet(X_10,X_11)),complement(join(meet(X_10,X_11),complement(meet(X_10,X_11))))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
meet(join(complement(X_10),complement(X_11)),meet(X_10,X_11)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_10,X_11),complement(meet(X_10,X_11)))),complement(top)) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
( meet(join(complement(X_10),complement(X_11)),meet(X_10,X_11)) != complement(top)
| zero != meet(join(complement(X_10),complement(X_11)),meet(X_10,X_11))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_10),complement(X_11)),meet(X_10,X_11))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_151,plain,
( zero != meet(join(complement(X_10),complement(X_11)),meet(X_10,X_11))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_10),complement(X_11)),meet(X_10,X_11)),complement(top)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_10),complement(X_11)),meet(X_10,X_11))) )],[refute_0_137,refute_0_151]) ).
cnf(refute_0_153,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_154,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
( X_48 != join(meet(X_48,top),meet(X_48,complement(top)))
| complement(top) != zero
| X_48 = join(meet(X_48,top),meet(X_48,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(X_48,join(meet(X_48,top),meet(X_48,complement(top)))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_156,plain,
( X_48 != join(meet(X_48,top),meet(X_48,complement(top)))
| X_48 = join(meet(X_48,top),meet(X_48,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
X_48 = join(meet(X_48,top),meet(X_48,zero)),
inference(resolve,[$cnf( $equal(X_48,join(meet(X_48,top),meet(X_48,complement(top)))) )],[refute_0_133,refute_0_156]) ).
cnf(refute_0_158,plain,
X_49 = join(meet(X_49,top),meet(X_49,zero)),
inference(subst,[],[refute_0_157:[bind(X_48,$fot(X_49))]]) ).
cnf(refute_0_159,plain,
join(complement(X_11),complement(X_10)) = join(complement(X_10),complement(X_11)),
inference(subst,[],[refute_0_13:[bind(X0,$fot(complement(X_11))),bind(X1,$fot(complement(X_10)))]]) ).
cnf(refute_0_160,plain,
( join(complement(X_11),complement(X_10)) != join(complement(X_10),complement(X_11))
| join(complement(X_10),complement(X_11)) = join(complement(X_11),complement(X_10)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(complement(X_11),complement(X_10)))),bind(Y,$fot(join(complement(X_10),complement(X_11))))]]) ).
cnf(refute_0_161,plain,
join(complement(X_10),complement(X_11)) = join(complement(X_11),complement(X_10)),
inference(resolve,[$cnf( $equal(join(complement(X_11),complement(X_10)),join(complement(X_10),complement(X_11))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
( join(complement(X_10),complement(X_11)) != join(complement(X_11),complement(X_10))
| meet(X_10,X_11) != complement(join(complement(X_10),complement(X_11)))
| meet(X_10,X_11) = complement(join(complement(X_11),complement(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_10,X_11),complement(join(complement(X_10),complement(X_11)))) ),[1,0],$fot(join(complement(X_11),complement(X_10)))]]) ).
cnf(refute_0_163,plain,
( meet(X_10,X_11) != complement(join(complement(X_10),complement(X_11)))
| meet(X_10,X_11) = complement(join(complement(X_11),complement(X_10))) ),
inference(resolve,[$cnf( $equal(join(complement(X_10),complement(X_11)),join(complement(X_11),complement(X_10))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
meet(X_10,X_11) = complement(join(complement(X_11),complement(X_10))),
inference(resolve,[$cnf( $equal(meet(X_10,X_11),complement(join(complement(X_10),complement(X_11)))) )],[refute_0_3,refute_0_163]) ).
cnf(refute_0_165,plain,
complement(join(complement(X_11),complement(X_10))) = meet(X_11,X_10),
inference(subst,[],[refute_0_22:[bind(X0,$fot(X_11)),bind(X1,$fot(X_10))]]) ).
cnf(refute_0_166,plain,
( complement(join(complement(X_11),complement(X_10))) != meet(X_11,X_10)
| meet(X_10,X_11) != complement(join(complement(X_11),complement(X_10)))
| meet(X_10,X_11) = meet(X_11,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_10,X_11),complement(join(complement(X_11),complement(X_10)))) ),[1],$fot(meet(X_11,X_10))]]) ).
cnf(refute_0_167,plain,
( meet(X_10,X_11) != complement(join(complement(X_11),complement(X_10)))
| meet(X_10,X_11) = meet(X_11,X_10) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_11),complement(X_10))),meet(X_11,X_10)) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
meet(X_10,X_11) = meet(X_11,X_10),
inference(resolve,[$cnf( $equal(meet(X_10,X_11),complement(join(complement(X_11),complement(X_10)))) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
meet(top,X_49) = meet(X_49,top),
inference(subst,[],[refute_0_168:[bind(X_10,$fot(top)),bind(X_11,$fot(X_49))]]) ).
cnf(refute_0_170,plain,
( meet(top,X_49) != meet(X_49,top)
| meet(X_49,top) = meet(top,X_49) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(top,X_49))),bind(Y,$fot(meet(X_49,top)))]]) ).
cnf(refute_0_171,plain,
meet(X_49,top) = meet(top,X_49),
inference(resolve,[$cnf( $equal(meet(top,X_49),meet(X_49,top)) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
( X_49 != join(meet(X_49,top),meet(X_49,zero))
| meet(X_49,top) != meet(top,X_49)
| X_49 = join(meet(top,X_49),meet(X_49,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(X_49,join(meet(X_49,top),meet(X_49,zero))) ),[1,0],$fot(meet(top,X_49))]]) ).
cnf(refute_0_173,plain,
( X_49 != join(meet(X_49,top),meet(X_49,zero))
| X_49 = join(meet(top,X_49),meet(X_49,zero)) ),
inference(resolve,[$cnf( $equal(meet(X_49,top),meet(top,X_49)) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
X_49 = join(meet(top,X_49),meet(X_49,zero)),
inference(resolve,[$cnf( $equal(X_49,join(meet(X_49,top),meet(X_49,zero))) )],[refute_0_158,refute_0_173]) ).
cnf(refute_0_175,plain,
complement(X_41) = join(meet(top,complement(X_41)),meet(complement(X_41),zero)),
inference(subst,[],[refute_0_174:[bind(X_49,$fot(complement(X_41)))]]) ).
cnf(refute_0_176,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(top))]]) ).
cnf(refute_0_177,plain,
( complement(top) != zero
| meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_178,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_154,refute_0_177]) ).
cnf(refute_0_179,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_176,refute_0_178]) ).
cnf(refute_0_180,plain,
meet(top,complement(X_41)) = complement(join(zero,complement(complement(X_41)))),
inference(subst,[],[refute_0_179:[bind(X1,$fot(complement(X_41)))]]) ).
cnf(refute_0_181,plain,
X_41 = join(zero,complement(complement(X_41))),
inference(subst,[],[refute_0_117:[bind(X_39,$fot(X_41))]]) ).
cnf(refute_0_182,plain,
( X_41 != join(zero,complement(complement(X_41)))
| join(zero,complement(complement(X_41))) = X_41 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_41)),bind(Y,$fot(join(zero,complement(complement(X_41)))))]]) ).
cnf(refute_0_183,plain,
join(zero,complement(complement(X_41))) = X_41,
inference(resolve,[$cnf( $equal(X_41,join(zero,complement(complement(X_41)))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
( join(zero,complement(complement(X_41))) != X_41
| meet(top,complement(X_41)) != complement(join(zero,complement(complement(X_41))))
| meet(top,complement(X_41)) = complement(X_41) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(X_41)),complement(join(zero,complement(complement(X_41))))) ),[1,0],$fot(X_41)]]) ).
cnf(refute_0_185,plain,
( meet(top,complement(X_41)) != complement(join(zero,complement(complement(X_41))))
| meet(top,complement(X_41)) = complement(X_41) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_41))),X_41) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
meet(top,complement(X_41)) = complement(X_41),
inference(resolve,[$cnf( $equal(meet(top,complement(X_41)),complement(join(zero,complement(complement(X_41))))) )],[refute_0_180,refute_0_185]) ).
cnf(refute_0_187,plain,
( complement(X_41) != join(meet(top,complement(X_41)),meet(complement(X_41),zero))
| meet(top,complement(X_41)) != complement(X_41)
| complement(X_41) = join(complement(X_41),meet(complement(X_41),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_41),join(meet(top,complement(X_41)),meet(complement(X_41),zero))) ),[1,0],$fot(complement(X_41))]]) ).
cnf(refute_0_188,plain,
( complement(X_41) != join(meet(top,complement(X_41)),meet(complement(X_41),zero))
| complement(X_41) = join(complement(X_41),meet(complement(X_41),zero)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(X_41)),complement(X_41)) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
complement(X_41) = join(complement(X_41),meet(complement(X_41),zero)),
inference(resolve,[$cnf( $equal(complement(X_41),join(meet(top,complement(X_41)),meet(complement(X_41),zero))) )],[refute_0_175,refute_0_188]) ).
cnf(refute_0_190,plain,
( meet(X_10,X_11) != meet(X_11,X_10)
| meet(X_11,X_10) = meet(X_10,X_11) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_10,X_11))),bind(Y,$fot(meet(X_11,X_10)))]]) ).
cnf(refute_0_191,plain,
meet(X_11,X_10) = meet(X_10,X_11),
inference(resolve,[$cnf( $equal(meet(X_10,X_11),meet(X_11,X_10)) )],[refute_0_168,refute_0_190]) ).
cnf(refute_0_192,plain,
meet(complement(X_41),zero) = meet(zero,complement(X_41)),
inference(subst,[],[refute_0_191:[bind(X_10,$fot(zero)),bind(X_11,$fot(complement(X_41)))]]) ).
cnf(refute_0_193,plain,
join(complement(X_41),meet(complement(X_41),zero)) = join(complement(X_41),meet(complement(X_41),zero)),
introduced(tautology,[refl,[$fot(join(complement(X_41),meet(complement(X_41),zero)))]]) ).
cnf(refute_0_194,plain,
( join(complement(X_41),meet(complement(X_41),zero)) != join(complement(X_41),meet(complement(X_41),zero))
| meet(complement(X_41),zero) != meet(zero,complement(X_41))
| join(complement(X_41),meet(complement(X_41),zero)) = join(complement(X_41),meet(zero,complement(X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_41),meet(complement(X_41),zero)),join(complement(X_41),meet(complement(X_41),zero))) ),[1,1],$fot(meet(zero,complement(X_41)))]]) ).
cnf(refute_0_195,plain,
( meet(complement(X_41),zero) != meet(zero,complement(X_41))
| join(complement(X_41),meet(complement(X_41),zero)) = join(complement(X_41),meet(zero,complement(X_41))) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),meet(complement(X_41),zero)),join(complement(X_41),meet(complement(X_41),zero))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
join(complement(X_41),meet(complement(X_41),zero)) = join(complement(X_41),meet(zero,complement(X_41))),
inference(resolve,[$cnf( $equal(meet(complement(X_41),zero),meet(zero,complement(X_41))) )],[refute_0_192,refute_0_195]) ).
cnf(refute_0_197,plain,
( complement(X_41) != join(complement(X_41),meet(complement(X_41),zero))
| join(complement(X_41),meet(complement(X_41),zero)) != join(complement(X_41),meet(zero,complement(X_41)))
| complement(X_41) = join(complement(X_41),meet(zero,complement(X_41))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_41),join(complement(X_41),meet(zero,complement(X_41)))) ),[0],$fot(join(complement(X_41),meet(complement(X_41),zero)))]]) ).
cnf(refute_0_198,plain,
( complement(X_41) != join(complement(X_41),meet(complement(X_41),zero))
| complement(X_41) = join(complement(X_41),meet(zero,complement(X_41))) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),meet(complement(X_41),zero)),join(complement(X_41),meet(zero,complement(X_41)))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
complement(X_41) = join(complement(X_41),meet(zero,complement(X_41))),
inference(resolve,[$cnf( $equal(complement(X_41),join(complement(X_41),meet(complement(X_41),zero))) )],[refute_0_189,refute_0_198]) ).
cnf(refute_0_200,plain,
join(complement(X_41),zero) = join(zero,complement(X_41)),
inference(subst,[],[refute_0_15:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X_41)))]]) ).
cnf(refute_0_201,plain,
meet(zero,X1) = complement(join(complement(zero),complement(X1))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_202,plain,
meet(zero,X_49) = meet(X_49,zero),
inference(subst,[],[refute_0_168:[bind(X_10,$fot(zero)),bind(X_11,$fot(X_49))]]) ).
cnf(refute_0_203,plain,
( meet(zero,X_49) != meet(X_49,zero)
| meet(X_49,zero) = meet(zero,X_49) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(zero,X_49))),bind(Y,$fot(meet(X_49,zero)))]]) ).
cnf(refute_0_204,plain,
meet(X_49,zero) = meet(zero,X_49),
inference(resolve,[$cnf( $equal(meet(zero,X_49),meet(X_49,zero)) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
( X_49 != join(meet(X_49,top),meet(X_49,zero))
| meet(X_49,zero) != meet(zero,X_49)
| X_49 = join(meet(X_49,top),meet(zero,X_49)) ),
introduced(tautology,[equality,[$cnf( $equal(X_49,join(meet(X_49,top),meet(X_49,zero))) ),[1,1],$fot(meet(zero,X_49))]]) ).
cnf(refute_0_206,plain,
( X_49 != join(meet(X_49,top),meet(X_49,zero))
| X_49 = join(meet(X_49,top),meet(zero,X_49)) ),
inference(resolve,[$cnf( $equal(meet(X_49,zero),meet(zero,X_49)) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
X_49 = join(meet(X_49,top),meet(zero,X_49)),
inference(resolve,[$cnf( $equal(X_49,join(meet(X_49,top),meet(X_49,zero))) )],[refute_0_158,refute_0_206]) ).
cnf(refute_0_208,plain,
complement(zero) = join(meet(complement(zero),top),meet(zero,complement(zero))),
inference(subst,[],[refute_0_207:[bind(X_49,$fot(complement(zero)))]]) ).
cnf(refute_0_209,plain,
zero = meet(zero,complement(zero)),
inference(subst,[],[refute_0_100:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_210,plain,
( zero != meet(zero,complement(zero))
| meet(zero,complement(zero)) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,complement(zero))))]]) ).
cnf(refute_0_211,plain,
meet(zero,complement(zero)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,complement(zero))) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
( complement(zero) != join(meet(complement(zero),top),meet(zero,complement(zero)))
| meet(zero,complement(zero)) != zero
| complement(zero) = join(meet(complement(zero),top),zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),meet(zero,complement(zero)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_213,plain,
( complement(zero) != join(meet(complement(zero),top),meet(zero,complement(zero)))
| complement(zero) = join(meet(complement(zero),top),zero) ),
inference(resolve,[$cnf( $equal(meet(zero,complement(zero)),zero) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
complement(zero) = join(meet(complement(zero),top),zero),
inference(resolve,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),meet(zero,complement(zero)))) )],[refute_0_208,refute_0_213]) ).
cnf(refute_0_215,plain,
join(zero,complement(zero)) = top,
inference(subst,[],[refute_0_140:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_216,plain,
meet(top,complement(zero)) = complement(zero),
inference(subst,[],[refute_0_186:[bind(X_41,$fot(zero))]]) ).
cnf(refute_0_217,plain,
meet(X0,top) = complement(join(complement(X0),complement(top))),
inference(subst,[],[refute_0_1:[bind(X1,$fot(top))]]) ).
cnf(refute_0_218,plain,
( complement(top) != zero
| meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_219,plain,
( meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_154,refute_0_218]) ).
cnf(refute_0_220,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) )],[refute_0_217,refute_0_219]) ).
cnf(refute_0_221,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_0_222,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_179,refute_0_221]) ).
cnf(refute_0_223,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(subst,[],[refute_0_222:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_224,plain,
join(complement(X0),zero) = join(zero,complement(X0)),
inference(subst,[],[refute_0_15:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X0)))]]) ).
cnf(refute_0_225,plain,
complement(join(complement(X0),zero)) = complement(join(complement(X0),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),zero)))]]) ).
cnf(refute_0_226,plain,
( complement(join(complement(X0),zero)) != complement(join(complement(X0),zero))
| join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) ),[1,0],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_0_227,plain,
( join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X0),zero),join(zero,complement(X0))) )],[refute_0_224,refute_0_227]) ).
cnf(refute_0_229,plain,
( complement(join(complement(X0),zero)) != complement(join(zero,complement(X0)))
| complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(complement(X0),zero)))),bind(Y,$fot(complement(join(zero,complement(X0))))),bind(Z,$fot(meet(top,X0)))]]) ).
cnf(refute_0_230,plain,
( complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(zero,complement(X0)))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
complement(join(complement(X0),zero)) = meet(top,X0),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X0))),meet(top,X0)) )],[refute_0_223,refute_0_230]) ).
cnf(refute_0_232,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) ),[1],$fot(meet(top,X0))]]) ).
cnf(refute_0_233,plain,
( meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
meet(X0,top) = meet(top,X0),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) )],[refute_0_220,refute_0_233]) ).
cnf(refute_0_235,plain,
meet(complement(zero),top) = meet(top,complement(zero)),
inference(subst,[],[refute_0_234:[bind(X0,$fot(complement(zero)))]]) ).
cnf(refute_0_236,plain,
( meet(complement(zero),top) != meet(top,complement(zero))
| meet(top,complement(zero)) != complement(zero)
| meet(complement(zero),top) = complement(zero) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(zero),top))),bind(Y,$fot(meet(top,complement(zero)))),bind(Z,$fot(complement(zero)))]]) ).
cnf(refute_0_237,plain,
( meet(top,complement(zero)) != complement(zero)
| meet(complement(zero),top) = complement(zero) ),
inference(resolve,[$cnf( $equal(meet(complement(zero),top),meet(top,complement(zero))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
meet(complement(zero),top) = complement(zero),
inference(resolve,[$cnf( $equal(meet(top,complement(zero)),complement(zero)) )],[refute_0_216,refute_0_237]) ).
cnf(refute_0_239,plain,
join(zero,meet(complement(zero),top)) = join(zero,meet(complement(zero),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(zero),top)))]]) ).
cnf(refute_0_240,plain,
( join(zero,meet(complement(zero),top)) != join(zero,meet(complement(zero),top))
| meet(complement(zero),top) != complement(zero)
| join(zero,meet(complement(zero),top)) = join(zero,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(complement(zero),top))) ),[1,1],$fot(complement(zero))]]) ).
cnf(refute_0_241,plain,
( meet(complement(zero),top) != complement(zero)
| join(zero,meet(complement(zero),top)) = join(zero,complement(zero)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(complement(zero),top))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
join(zero,meet(complement(zero),top)) = join(zero,complement(zero)),
inference(resolve,[$cnf( $equal(meet(complement(zero),top),complement(zero)) )],[refute_0_238,refute_0_241]) ).
cnf(refute_0_243,plain,
( join(zero,complement(zero)) != top
| join(zero,meet(complement(zero),top)) != join(zero,complement(zero))
| join(zero,meet(complement(zero),top)) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(zero,meet(complement(zero),top)))),bind(Y,$fot(join(zero,complement(zero)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_244,plain,
( join(zero,complement(zero)) != top
| join(zero,meet(complement(zero),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,complement(zero))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
join(zero,meet(complement(zero),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,complement(zero)),top) )],[refute_0_215,refute_0_244]) ).
cnf(refute_0_246,plain,
join(meet(complement(zero),top),zero) = join(zero,meet(complement(zero),top)),
inference(subst,[],[refute_0_15:[bind(X0,$fot(zero)),bind(X1,$fot(meet(complement(zero),top)))]]) ).
cnf(refute_0_247,plain,
( join(meet(complement(zero),top),zero) != join(zero,meet(complement(zero),top))
| join(zero,meet(complement(zero),top)) != top
| join(meet(complement(zero),top),zero) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(complement(zero),top),zero))),bind(Y,$fot(join(zero,meet(complement(zero),top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_248,plain,
( join(zero,meet(complement(zero),top)) != top
| join(meet(complement(zero),top),zero) = top ),
inference(resolve,[$cnf( $equal(join(meet(complement(zero),top),zero),join(zero,meet(complement(zero),top))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
join(meet(complement(zero),top),zero) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),top) )],[refute_0_245,refute_0_248]) ).
cnf(refute_0_250,plain,
( complement(zero) != join(meet(complement(zero),top),zero)
| join(meet(complement(zero),top),zero) != top
| complement(zero) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(zero),top) ),[0],$fot(join(meet(complement(zero),top),zero))]]) ).
cnf(refute_0_251,plain,
( complement(zero) != join(meet(complement(zero),top),zero)
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(join(meet(complement(zero),top),zero),top) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),zero)) )],[refute_0_214,refute_0_251]) ).
cnf(refute_0_253,plain,
( complement(zero) != top
| meet(zero,X1) != complement(join(complement(zero),complement(X1)))
| meet(zero,X1) = complement(join(top,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_254,plain,
( meet(zero,X1) != complement(join(complement(zero),complement(X1)))
| meet(zero,X1) = complement(join(top,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
meet(zero,X1) = complement(join(top,complement(X1))),
inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) )],[refute_0_201,refute_0_254]) ).
cnf(refute_0_256,plain,
top = join(join(complement(X_10),complement(X_11)),complement(join(complement(X_10),complement(X_11)))),
inference(subst,[],[refute_0_138:[bind(X0,$fot(join(complement(X_10),complement(X_11))))]]) ).
cnf(refute_0_257,plain,
( complement(join(complement(X_10),complement(X_11))) != meet(X_10,X_11)
| top != join(join(complement(X_10),complement(X_11)),complement(join(complement(X_10),complement(X_11))))
| top = join(join(complement(X_10),complement(X_11)),meet(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_10),complement(X_11)),complement(join(complement(X_10),complement(X_11))))) ),[1,1],$fot(meet(X_10,X_11))]]) ).
cnf(refute_0_258,plain,
( top != join(join(complement(X_10),complement(X_11)),complement(join(complement(X_10),complement(X_11))))
| top = join(join(complement(X_10),complement(X_11)),meet(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_10),complement(X_11))),meet(X_10,X_11)) )],[refute_0_8,refute_0_257]) ).
cnf(refute_0_259,plain,
top = join(join(complement(X_10),complement(X_11)),meet(X_10,X_11)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_10),complement(X_11)),complement(join(complement(X_10),complement(X_11))))) )],[refute_0_256,refute_0_258]) ).
cnf(refute_0_260,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_261,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_262,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
join(join(complement(X_10),complement(X_11)),meet(X_10,X_11)) = join(complement(X_10),join(complement(X_11),meet(X_10,X_11))),
inference(subst,[],[refute_0_262:[bind(X0,$fot(complement(X_10))),bind(X1,$fot(complement(X_11))),bind(X2,$fot(meet(X_10,X_11)))]]) ).
cnf(refute_0_264,plain,
( join(join(complement(X_10),complement(X_11)),meet(X_10,X_11)) != join(complement(X_10),join(complement(X_11),meet(X_10,X_11)))
| top != join(join(complement(X_10),complement(X_11)),meet(X_10,X_11))
| top = join(complement(X_10),join(complement(X_11),meet(X_10,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_10),complement(X_11)),meet(X_10,X_11))) ),[1],$fot(join(complement(X_10),join(complement(X_11),meet(X_10,X_11))))]]) ).
cnf(refute_0_265,plain,
( top != join(join(complement(X_10),complement(X_11)),meet(X_10,X_11))
| top = join(complement(X_10),join(complement(X_11),meet(X_10,X_11))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_10),complement(X_11)),meet(X_10,X_11)),join(complement(X_10),join(complement(X_11),meet(X_10,X_11)))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
top = join(complement(X_10),join(complement(X_11),meet(X_10,X_11))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_10),complement(X_11)),meet(X_10,X_11))) )],[refute_0_259,refute_0_265]) ).
cnf(refute_0_267,plain,
top = join(complement(X_11),join(complement(X_11),meet(X_11,X_11))),
inference(subst,[],[refute_0_266:[bind(X_10,$fot(X_11))]]) ).
cnf(refute_0_268,plain,
meet(X1,X1) = complement(join(complement(X1),complement(X1))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_269,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(subst,[],[refute_0_94:[bind(X_34,$fot(X1))]]) ).
cnf(refute_0_270,plain,
( join(complement(X1),complement(X1)) != complement(X1)
| meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_271,plain,
( meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(X1)),complement(X1)) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
meet(X1,X1) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) )],[refute_0_268,refute_0_271]) ).
cnf(refute_0_273,plain,
meet(X_11,X_11) = complement(complement(X_11)),
inference(subst,[],[refute_0_272:[bind(X1,$fot(X_11))]]) ).
cnf(refute_0_274,plain,
( meet(X_11,X_11) != complement(complement(X_11))
| top != join(complement(X_11),join(complement(X_11),meet(X_11,X_11)))
| top = join(complement(X_11),join(complement(X_11),complement(complement(X_11)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_11),join(complement(X_11),meet(X_11,X_11)))) ),[1,1,1],$fot(complement(complement(X_11)))]]) ).
cnf(refute_0_275,plain,
( top != join(complement(X_11),join(complement(X_11),meet(X_11,X_11)))
| top = join(complement(X_11),join(complement(X_11),complement(complement(X_11)))) ),
inference(resolve,[$cnf( $equal(meet(X_11,X_11),complement(complement(X_11))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
top = join(complement(X_11),join(complement(X_11),complement(complement(X_11)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_11),join(complement(X_11),meet(X_11,X_11)))) )],[refute_0_267,refute_0_275]) ).
cnf(refute_0_277,plain,
join(complement(X_11),top) = join(top,complement(X_11)),
inference(subst,[],[refute_0_15:[bind(X0,$fot(top)),bind(X1,$fot(complement(X_11)))]]) ).
cnf(refute_0_278,plain,
join(complement(X_11),complement(complement(X_11))) = top,
inference(subst,[],[refute_0_140:[bind(X0,$fot(complement(X_11)))]]) ).
cnf(refute_0_279,plain,
join(complement(X_11),join(complement(X_11),complement(complement(X_11)))) = join(complement(X_11),join(complement(X_11),complement(complement(X_11)))),
introduced(tautology,[refl,[$fot(join(complement(X_11),join(complement(X_11),complement(complement(X_11)))))]]) ).
cnf(refute_0_280,plain,
( join(complement(X_11),complement(complement(X_11))) != top
| join(complement(X_11),join(complement(X_11),complement(complement(X_11)))) != join(complement(X_11),join(complement(X_11),complement(complement(X_11))))
| join(complement(X_11),join(complement(X_11),complement(complement(X_11)))) = join(complement(X_11),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_11),join(complement(X_11),complement(complement(X_11)))),join(complement(X_11),join(complement(X_11),complement(complement(X_11))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_281,plain,
( join(complement(X_11),complement(complement(X_11))) != top
| join(complement(X_11),join(complement(X_11),complement(complement(X_11)))) = join(complement(X_11),top) ),
inference(resolve,[$cnf( $equal(join(complement(X_11),join(complement(X_11),complement(complement(X_11)))),join(complement(X_11),join(complement(X_11),complement(complement(X_11))))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
join(complement(X_11),join(complement(X_11),complement(complement(X_11)))) = join(complement(X_11),top),
inference(resolve,[$cnf( $equal(join(complement(X_11),complement(complement(X_11))),top) )],[refute_0_278,refute_0_281]) ).
cnf(refute_0_283,plain,
( join(complement(X_11),join(complement(X_11),complement(complement(X_11)))) != join(complement(X_11),top)
| join(complement(X_11),top) != join(top,complement(X_11))
| join(complement(X_11),join(complement(X_11),complement(complement(X_11)))) = join(top,complement(X_11)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_11),join(complement(X_11),complement(complement(X_11)))))),bind(Y,$fot(join(complement(X_11),top))),bind(Z,$fot(join(top,complement(X_11))))]]) ).
cnf(refute_0_284,plain,
( join(complement(X_11),top) != join(top,complement(X_11))
| join(complement(X_11),join(complement(X_11),complement(complement(X_11)))) = join(top,complement(X_11)) ),
inference(resolve,[$cnf( $equal(join(complement(X_11),join(complement(X_11),complement(complement(X_11)))),join(complement(X_11),top)) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
join(complement(X_11),join(complement(X_11),complement(complement(X_11)))) = join(top,complement(X_11)),
inference(resolve,[$cnf( $equal(join(complement(X_11),top),join(top,complement(X_11))) )],[refute_0_277,refute_0_284]) ).
cnf(refute_0_286,plain,
( join(complement(X_11),join(complement(X_11),complement(complement(X_11)))) != join(top,complement(X_11))
| top != join(complement(X_11),join(complement(X_11),complement(complement(X_11))))
| top = join(top,complement(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_11),join(complement(X_11),complement(complement(X_11))))) ),[1],$fot(join(top,complement(X_11)))]]) ).
cnf(refute_0_287,plain,
( top != join(complement(X_11),join(complement(X_11),complement(complement(X_11))))
| top = join(top,complement(X_11)) ),
inference(resolve,[$cnf( $equal(join(complement(X_11),join(complement(X_11),complement(complement(X_11)))),join(top,complement(X_11))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
top = join(top,complement(X_11)),
inference(resolve,[$cnf( $equal(top,join(complement(X_11),join(complement(X_11),complement(complement(X_11))))) )],[refute_0_276,refute_0_287]) ).
cnf(refute_0_289,plain,
( top != join(top,complement(X_11))
| join(top,complement(X_11)) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_11))))]]) ).
cnf(refute_0_290,plain,
join(top,complement(X_11)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(X_11))) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
join(top,complement(X1)) = top,
inference(subst,[],[refute_0_290:[bind(X_11,$fot(X1))]]) ).
cnf(refute_0_292,plain,
complement(join(top,complement(X1))) = complement(join(top,complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(top,complement(X1))))]]) ).
cnf(refute_0_293,plain,
( complement(join(top,complement(X1))) != complement(join(top,complement(X1)))
| join(top,complement(X1)) != top
| complement(join(top,complement(X1))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(X1))),complement(join(top,complement(X1)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_294,plain,
( join(top,complement(X1)) != top
| complement(join(top,complement(X1))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),complement(join(top,complement(X1)))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
complement(join(top,complement(X1))) = complement(top),
inference(resolve,[$cnf( $equal(join(top,complement(X1)),top) )],[refute_0_291,refute_0_294]) ).
cnf(refute_0_296,plain,
( complement(join(top,complement(X1))) != complement(top)
| complement(top) != zero
| complement(join(top,complement(X1))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(top,complement(X1))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_297,plain,
( complement(top) != zero
| complement(join(top,complement(X1))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),complement(top)) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
complement(join(top,complement(X1))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_154,refute_0_297]) ).
cnf(refute_0_299,plain,
( complement(join(top,complement(X1))) != zero
| meet(zero,X1) != complement(join(top,complement(X1)))
| meet(zero,X1) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X1),complement(join(top,complement(X1)))) ),[1],$fot(zero)]]) ).
cnf(refute_0_300,plain,
( meet(zero,X1) != complement(join(top,complement(X1)))
| meet(zero,X1) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),zero) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
meet(zero,X1) = zero,
inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(top,complement(X1)))) )],[refute_0_255,refute_0_300]) ).
cnf(refute_0_302,plain,
meet(zero,complement(X_41)) = zero,
inference(subst,[],[refute_0_301:[bind(X1,$fot(complement(X_41)))]]) ).
cnf(refute_0_303,plain,
join(complement(X_41),meet(zero,complement(X_41))) = join(complement(X_41),meet(zero,complement(X_41))),
introduced(tautology,[refl,[$fot(join(complement(X_41),meet(zero,complement(X_41))))]]) ).
cnf(refute_0_304,plain,
( join(complement(X_41),meet(zero,complement(X_41))) != join(complement(X_41),meet(zero,complement(X_41)))
| meet(zero,complement(X_41)) != zero
| join(complement(X_41),meet(zero,complement(X_41))) = join(complement(X_41),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_41),meet(zero,complement(X_41))),join(complement(X_41),meet(zero,complement(X_41)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_305,plain,
( meet(zero,complement(X_41)) != zero
| join(complement(X_41),meet(zero,complement(X_41))) = join(complement(X_41),zero) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),meet(zero,complement(X_41))),join(complement(X_41),meet(zero,complement(X_41)))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
join(complement(X_41),meet(zero,complement(X_41))) = join(complement(X_41),zero),
inference(resolve,[$cnf( $equal(meet(zero,complement(X_41)),zero) )],[refute_0_302,refute_0_305]) ).
cnf(refute_0_307,plain,
( join(complement(X_41),meet(zero,complement(X_41))) != join(complement(X_41),zero)
| join(complement(X_41),zero) != join(zero,complement(X_41))
| join(complement(X_41),meet(zero,complement(X_41))) = join(zero,complement(X_41)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_41),meet(zero,complement(X_41))))),bind(Y,$fot(join(complement(X_41),zero))),bind(Z,$fot(join(zero,complement(X_41))))]]) ).
cnf(refute_0_308,plain,
( join(complement(X_41),zero) != join(zero,complement(X_41))
| join(complement(X_41),meet(zero,complement(X_41))) = join(zero,complement(X_41)) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),meet(zero,complement(X_41))),join(complement(X_41),zero)) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
join(complement(X_41),meet(zero,complement(X_41))) = join(zero,complement(X_41)),
inference(resolve,[$cnf( $equal(join(complement(X_41),zero),join(zero,complement(X_41))) )],[refute_0_200,refute_0_308]) ).
cnf(refute_0_310,plain,
( complement(X_41) != join(complement(X_41),meet(zero,complement(X_41)))
| join(complement(X_41),meet(zero,complement(X_41))) != join(zero,complement(X_41))
| complement(X_41) = join(zero,complement(X_41)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_41),join(zero,complement(X_41))) ),[0],$fot(join(complement(X_41),meet(zero,complement(X_41))))]]) ).
cnf(refute_0_311,plain,
( complement(X_41) != join(complement(X_41),meet(zero,complement(X_41)))
| complement(X_41) = join(zero,complement(X_41)) ),
inference(resolve,[$cnf( $equal(join(complement(X_41),meet(zero,complement(X_41))),join(zero,complement(X_41))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
complement(X_41) = join(zero,complement(X_41)),
inference(resolve,[$cnf( $equal(complement(X_41),join(complement(X_41),meet(zero,complement(X_41)))) )],[refute_0_199,refute_0_311]) ).
cnf(refute_0_313,plain,
( complement(X_41) != join(zero,complement(X_41))
| join(zero,complement(X_41)) = complement(X_41) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(X_41))),bind(Y,$fot(join(zero,complement(X_41))))]]) ).
cnf(refute_0_314,plain,
join(zero,complement(X_41)) = complement(X_41),
inference(resolve,[$cnf( $equal(complement(X_41),join(zero,complement(X_41))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
join(zero,complement(meet(X0,X1))) = complement(meet(X0,X1)),
inference(subst,[],[refute_0_314:[bind(X_41,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_316,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(meet(X0,X1)))
| join(zero,complement(meet(X0,X1))) != complement(meet(X0,X1))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),complement(meet(X0,X1))) ),[0],$fot(join(zero,complement(meet(X0,X1))))]]) ).
cnf(refute_0_317,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(meet(X0,X1)))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(meet(X0,X1))),complement(meet(X0,X1))) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(meet(X0,X1)))) )],[refute_0_121,refute_0_317]) ).
cnf(refute_0_319,plain,
join(complement(X_10),complement(X_11)) = complement(meet(X_10,X_11)),
inference(subst,[],[refute_0_318:[bind(X0,$fot(X_10)),bind(X1,$fot(X_11))]]) ).
cnf(refute_0_320,plain,
meet(join(complement(X_10),complement(X_11)),X1) = meet(join(complement(X_10),complement(X_11)),X1),
introduced(tautology,[refl,[$fot(meet(join(complement(X_10),complement(X_11)),X1))]]) ).
cnf(refute_0_321,plain,
( join(complement(X_10),complement(X_11)) != complement(meet(X_10,X_11))
| meet(join(complement(X_10),complement(X_11)),X1) != meet(join(complement(X_10),complement(X_11)),X1)
| meet(join(complement(X_10),complement(X_11)),X1) = meet(complement(meet(X_10,X_11)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_10),complement(X_11)),X1),meet(join(complement(X_10),complement(X_11)),X1)) ),[1,0],$fot(complement(meet(X_10,X_11)))]]) ).
cnf(refute_0_322,plain,
( join(complement(X_10),complement(X_11)) != complement(meet(X_10,X_11))
| meet(join(complement(X_10),complement(X_11)),X1) = meet(complement(meet(X_10,X_11)),X1) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_10),complement(X_11)),X1),meet(join(complement(X_10),complement(X_11)),X1)) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
meet(join(complement(X_10),complement(X_11)),X1) = meet(complement(meet(X_10,X_11)),X1),
inference(resolve,[$cnf( $equal(join(complement(X_10),complement(X_11)),complement(meet(X_10,X_11))) )],[refute_0_319,refute_0_322]) ).
cnf(refute_0_324,plain,
( meet(join(complement(X_10),complement(X_11)),X1) != complement(join(meet(X_10,X_11),complement(X1)))
| meet(join(complement(X_10),complement(X_11)),X1) != meet(complement(meet(X_10,X_11)),X1)
| meet(complement(meet(X_10,X_11)),X1) = complement(join(meet(X_10,X_11),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_10),complement(X_11)),X1),complement(join(meet(X_10,X_11),complement(X1)))) ),[0],$fot(meet(complement(meet(X_10,X_11)),X1))]]) ).
cnf(refute_0_325,plain,
( meet(join(complement(X_10),complement(X_11)),X1) != complement(join(meet(X_10,X_11),complement(X1)))
| meet(complement(meet(X_10,X_11)),X1) = complement(join(meet(X_10,X_11),complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_10),complement(X_11)),X1),meet(complement(meet(X_10,X_11)),X1)) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
meet(complement(meet(X_10,X_11)),X1) = complement(join(meet(X_10,X_11),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_10),complement(X_11)),X1),complement(join(meet(X_10,X_11),complement(X1)))) )],[refute_0_11,refute_0_325]) ).
cnf(refute_0_327,plain,
meet(complement(meet(X_136,X_137)),join(complement(X_136),X_137)) = complement(join(meet(X_136,X_137),complement(join(complement(X_136),X_137)))),
inference(subst,[],[refute_0_326:[bind(X1,$fot(join(complement(X_136),X_137))),bind(X_10,$fot(X_136)),bind(X_11,$fot(X_137))]]) ).
cnf(refute_0_328,plain,
X_136 = join(meet(X_136,X_137),complement(join(complement(X_136),X_137))),
inference(subst,[],[refute_0_34:[bind(X0,$fot(X_136)),bind(X1,$fot(X_137))]]) ).
cnf(refute_0_329,plain,
( X_136 != join(meet(X_136,X_137),complement(join(complement(X_136),X_137)))
| join(meet(X_136,X_137),complement(join(complement(X_136),X_137))) = X_136 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_136)),bind(Y,$fot(join(meet(X_136,X_137),complement(join(complement(X_136),X_137)))))]]) ).
cnf(refute_0_330,plain,
join(meet(X_136,X_137),complement(join(complement(X_136),X_137))) = X_136,
inference(resolve,[$cnf( $equal(X_136,join(meet(X_136,X_137),complement(join(complement(X_136),X_137)))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
( join(meet(X_136,X_137),complement(join(complement(X_136),X_137))) != X_136
| meet(complement(meet(X_136,X_137)),join(complement(X_136),X_137)) != complement(join(meet(X_136,X_137),complement(join(complement(X_136),X_137))))
| meet(complement(meet(X_136,X_137)),join(complement(X_136),X_137)) = complement(X_136) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(X_136,X_137)),join(complement(X_136),X_137)),complement(join(meet(X_136,X_137),complement(join(complement(X_136),X_137))))) ),[1,0],$fot(X_136)]]) ).
cnf(refute_0_332,plain,
( meet(complement(meet(X_136,X_137)),join(complement(X_136),X_137)) != complement(join(meet(X_136,X_137),complement(join(complement(X_136),X_137))))
| meet(complement(meet(X_136,X_137)),join(complement(X_136),X_137)) = complement(X_136) ),
inference(resolve,[$cnf( $equal(join(meet(X_136,X_137),complement(join(complement(X_136),X_137))),X_136) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
meet(complement(meet(X_136,X_137)),join(complement(X_136),X_137)) = complement(X_136),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_136,X_137)),join(complement(X_136),X_137)),complement(join(meet(X_136,X_137),complement(join(complement(X_136),X_137))))) )],[refute_0_327,refute_0_332]) ).
cnf(refute_0_334,plain,
meet(complement(meet(complement(X_39),X_166)),join(complement(complement(X_39)),X_166)) = complement(complement(X_39)),
inference(subst,[],[refute_0_333:[bind(X_136,$fot(complement(X_39))),bind(X_137,$fot(X_166))]]) ).
cnf(refute_0_335,plain,
join(zero,complement(complement(X_39))) = complement(complement(X_39)),
inference(subst,[],[refute_0_314:[bind(X_41,$fot(complement(X_39)))]]) ).
cnf(refute_0_336,plain,
( X_39 != join(zero,complement(complement(X_39)))
| join(zero,complement(complement(X_39))) != complement(complement(X_39))
| X_39 = complement(complement(X_39)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,complement(complement(X_39))) ),[0],$fot(join(zero,complement(complement(X_39))))]]) ).
cnf(refute_0_337,plain,
( X_39 != join(zero,complement(complement(X_39)))
| X_39 = complement(complement(X_39)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_39))),complement(complement(X_39))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
X_39 = complement(complement(X_39)),
inference(resolve,[$cnf( $equal(X_39,join(zero,complement(complement(X_39)))) )],[refute_0_117,refute_0_337]) ).
cnf(refute_0_339,plain,
( X_39 != complement(complement(X_39))
| complement(complement(X_39)) = X_39 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_39)),bind(Y,$fot(complement(complement(X_39))))]]) ).
cnf(refute_0_340,plain,
complement(complement(X_39)) = X_39,
inference(resolve,[$cnf( $equal(X_39,complement(complement(X_39))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
( complement(complement(X_39)) != X_39
| meet(complement(meet(complement(X_39),X_166)),join(complement(complement(X_39)),X_166)) != complement(complement(X_39))
| meet(complement(meet(complement(X_39),X_166)),join(X_39,X_166)) = complement(complement(X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(complement(X_39),X_166)),join(complement(complement(X_39)),X_166)),complement(complement(X_39))) ),[0,1,0],$fot(X_39)]]) ).
cnf(refute_0_342,plain,
( meet(complement(meet(complement(X_39),X_166)),join(complement(complement(X_39)),X_166)) != complement(complement(X_39))
| meet(complement(meet(complement(X_39),X_166)),join(X_39,X_166)) = complement(complement(X_39)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_39)),X_39) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
meet(complement(meet(complement(X_39),X_166)),join(X_39,X_166)) = complement(complement(X_39)),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(X_39),X_166)),join(complement(complement(X_39)),X_166)),complement(complement(X_39))) )],[refute_0_334,refute_0_342]) ).
cnf(refute_0_344,plain,
join(X_139,complement(X_138)) = complement(complement(join(X_139,complement(X_138)))),
inference(subst,[],[refute_0_338:[bind(X_39,$fot(join(X_139,complement(X_138))))]]) ).
cnf(refute_0_345,plain,
meet(complement(meet(top,X_137)),X_135) = complement(join(meet(top,X_137),complement(X_135))),
inference(subst,[],[refute_0_326:[bind(X1,$fot(X_135)),bind(X_10,$fot(top)),bind(X_11,$fot(X_137))]]) ).
cnf(refute_0_346,plain,
join(zero,complement(X1)) = complement(X1),
inference(subst,[],[refute_0_314:[bind(X_41,$fot(X1))]]) ).
cnf(refute_0_347,plain,
complement(join(zero,complement(X1))) = complement(join(zero,complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(zero,complement(X1))))]]) ).
cnf(refute_0_348,plain,
( complement(join(zero,complement(X1))) != complement(join(zero,complement(X1)))
| join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_349,plain,
( join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
complement(join(zero,complement(X1))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_346,refute_0_349]) ).
cnf(refute_0_351,plain,
( complement(join(zero,complement(X1))) != complement(complement(X1))
| meet(top,X1) != complement(join(zero,complement(X1)))
| meet(top,X1) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) ),[1],$fot(complement(complement(X1)))]]) ).
cnf(refute_0_352,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| meet(top,X1) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(complement(X1))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
meet(top,X1) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_179,refute_0_352]) ).
cnf(refute_0_354,plain,
complement(complement(X1)) = X1,
inference(subst,[],[refute_0_340:[bind(X_39,$fot(X1))]]) ).
cnf(refute_0_355,plain,
( complement(complement(X1)) != X1
| meet(top,X1) != complement(complement(X1))
| meet(top,X1) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(complement(X1))) ),[1],$fot(X1)]]) ).
cnf(refute_0_356,plain,
( meet(top,X1) != complement(complement(X1))
| meet(top,X1) = X1 ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
meet(top,X1) = X1,
inference(resolve,[$cnf( $equal(meet(top,X1),complement(complement(X1))) )],[refute_0_353,refute_0_356]) ).
cnf(refute_0_358,plain,
meet(top,X_137) = X_137,
inference(subst,[],[refute_0_357:[bind(X1,$fot(X_137))]]) ).
cnf(refute_0_359,plain,
( meet(complement(meet(top,X_137)),X_135) != complement(join(meet(top,X_137),complement(X_135)))
| meet(top,X_137) != X_137
| meet(complement(meet(top,X_137)),X_135) = complement(join(X_137,complement(X_135))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_137)),X_135),complement(join(meet(top,X_137),complement(X_135)))) ),[1,0,0],$fot(X_137)]]) ).
cnf(refute_0_360,plain,
( meet(complement(meet(top,X_137)),X_135) != complement(join(meet(top,X_137),complement(X_135)))
| meet(complement(meet(top,X_137)),X_135) = complement(join(X_137,complement(X_135))) ),
inference(resolve,[$cnf( $equal(meet(top,X_137),X_137) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
meet(complement(meet(top,X_137)),X_135) = complement(join(X_137,complement(X_135))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_137)),X_135),complement(join(meet(top,X_137),complement(X_135)))) )],[refute_0_345,refute_0_360]) ).
cnf(refute_0_362,plain,
complement(meet(top,X_137)) = complement(meet(top,X_137)),
introduced(tautology,[refl,[$fot(complement(meet(top,X_137)))]]) ).
cnf(refute_0_363,plain,
( complement(meet(top,X_137)) != complement(meet(top,X_137))
| meet(top,X_137) != X_137
| complement(meet(top,X_137)) = complement(X_137) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_137)),complement(meet(top,X_137))) ),[1,0],$fot(X_137)]]) ).
cnf(refute_0_364,plain,
( meet(top,X_137) != X_137
| complement(meet(top,X_137)) = complement(X_137) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_137)),complement(meet(top,X_137))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
complement(meet(top,X_137)) = complement(X_137),
inference(resolve,[$cnf( $equal(meet(top,X_137),X_137) )],[refute_0_358,refute_0_364]) ).
cnf(refute_0_366,plain,
meet(complement(meet(top,X_137)),X_135) = meet(complement(meet(top,X_137)),X_135),
introduced(tautology,[refl,[$fot(meet(complement(meet(top,X_137)),X_135))]]) ).
cnf(refute_0_367,plain,
( complement(meet(top,X_137)) != complement(X_137)
| meet(complement(meet(top,X_137)),X_135) != meet(complement(meet(top,X_137)),X_135)
| meet(complement(meet(top,X_137)),X_135) = meet(complement(X_137),X_135) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_137)),X_135),meet(complement(meet(top,X_137)),X_135)) ),[1,0],$fot(complement(X_137))]]) ).
cnf(refute_0_368,plain,
( complement(meet(top,X_137)) != complement(X_137)
| meet(complement(meet(top,X_137)),X_135) = meet(complement(X_137),X_135) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_137)),X_135),meet(complement(meet(top,X_137)),X_135)) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
meet(complement(meet(top,X_137)),X_135) = meet(complement(X_137),X_135),
inference(resolve,[$cnf( $equal(complement(meet(top,X_137)),complement(X_137)) )],[refute_0_365,refute_0_368]) ).
cnf(refute_0_370,plain,
( meet(complement(meet(top,X_137)),X_135) != complement(join(X_137,complement(X_135)))
| meet(complement(meet(top,X_137)),X_135) != meet(complement(X_137),X_135)
| meet(complement(X_137),X_135) = complement(join(X_137,complement(X_135))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_137)),X_135),complement(join(X_137,complement(X_135)))) ),[0],$fot(meet(complement(X_137),X_135))]]) ).
cnf(refute_0_371,plain,
( meet(complement(meet(top,X_137)),X_135) != complement(join(X_137,complement(X_135)))
| meet(complement(X_137),X_135) = complement(join(X_137,complement(X_135))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_137)),X_135),meet(complement(X_137),X_135)) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
meet(complement(X_137),X_135) = complement(join(X_137,complement(X_135))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_137)),X_135),complement(join(X_137,complement(X_135)))) )],[refute_0_361,refute_0_371]) ).
cnf(refute_0_373,plain,
meet(complement(X_139),X_138) = complement(join(X_139,complement(X_138))),
inference(subst,[],[refute_0_372:[bind(X_135,$fot(X_138)),bind(X_137,$fot(X_139))]]) ).
cnf(refute_0_374,plain,
( meet(complement(X_139),X_138) != complement(join(X_139,complement(X_138)))
| complement(join(X_139,complement(X_138))) = meet(complement(X_139),X_138) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(complement(X_139),X_138))),bind(Y,$fot(complement(join(X_139,complement(X_138)))))]]) ).
cnf(refute_0_375,plain,
complement(join(X_139,complement(X_138))) = meet(complement(X_139),X_138),
inference(resolve,[$cnf( $equal(meet(complement(X_139),X_138),complement(join(X_139,complement(X_138)))) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
( complement(join(X_139,complement(X_138))) != meet(complement(X_139),X_138)
| join(X_139,complement(X_138)) != complement(complement(join(X_139,complement(X_138))))
| join(X_139,complement(X_138)) = complement(meet(complement(X_139),X_138)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_139,complement(X_138)),complement(complement(join(X_139,complement(X_138))))) ),[1,0],$fot(meet(complement(X_139),X_138))]]) ).
cnf(refute_0_377,plain,
( join(X_139,complement(X_138)) != complement(complement(join(X_139,complement(X_138))))
| join(X_139,complement(X_138)) = complement(meet(complement(X_139),X_138)) ),
inference(resolve,[$cnf( $equal(complement(join(X_139,complement(X_138))),meet(complement(X_139),X_138)) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
join(X_139,complement(X_138)) = complement(meet(complement(X_139),X_138)),
inference(resolve,[$cnf( $equal(join(X_139,complement(X_138)),complement(complement(join(X_139,complement(X_138))))) )],[refute_0_344,refute_0_377]) ).
cnf(refute_0_379,plain,
( join(X_139,complement(X_138)) != complement(meet(complement(X_139),X_138))
| complement(meet(complement(X_139),X_138)) = join(X_139,complement(X_138)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_139,complement(X_138)))),bind(Y,$fot(complement(meet(complement(X_139),X_138))))]]) ).
cnf(refute_0_380,plain,
complement(meet(complement(X_139),X_138)) = join(X_139,complement(X_138)),
inference(resolve,[$cnf( $equal(join(X_139,complement(X_138)),complement(meet(complement(X_139),X_138))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
complement(meet(complement(X_39),X_166)) = join(X_39,complement(X_166)),
inference(subst,[],[refute_0_380:[bind(X_138,$fot(X_166)),bind(X_139,$fot(X_39))]]) ).
cnf(refute_0_382,plain,
meet(join(X_39,X_166),complement(meet(complement(X_39),X_166))) = meet(join(X_39,X_166),complement(meet(complement(X_39),X_166))),
introduced(tautology,[refl,[$fot(meet(join(X_39,X_166),complement(meet(complement(X_39),X_166))))]]) ).
cnf(refute_0_383,plain,
( complement(meet(complement(X_39),X_166)) != join(X_39,complement(X_166))
| meet(join(X_39,X_166),complement(meet(complement(X_39),X_166))) != meet(join(X_39,X_166),complement(meet(complement(X_39),X_166)))
| meet(join(X_39,X_166),complement(meet(complement(X_39),X_166))) = meet(join(X_39,X_166),join(X_39,complement(X_166))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,X_166),complement(meet(complement(X_39),X_166))),meet(join(X_39,X_166),complement(meet(complement(X_39),X_166)))) ),[1,1],$fot(join(X_39,complement(X_166)))]]) ).
cnf(refute_0_384,plain,
( complement(meet(complement(X_39),X_166)) != join(X_39,complement(X_166))
| meet(join(X_39,X_166),complement(meet(complement(X_39),X_166))) = meet(join(X_39,X_166),join(X_39,complement(X_166))) ),
inference(resolve,[$cnf( $equal(meet(join(X_39,X_166),complement(meet(complement(X_39),X_166))),meet(join(X_39,X_166),complement(meet(complement(X_39),X_166)))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
meet(join(X_39,X_166),complement(meet(complement(X_39),X_166))) = meet(join(X_39,X_166),join(X_39,complement(X_166))),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_39),X_166)),join(X_39,complement(X_166))) )],[refute_0_381,refute_0_384]) ).
cnf(refute_0_386,plain,
meet(complement(meet(complement(X_39),X_166)),join(X_39,X_166)) = meet(join(X_39,X_166),complement(meet(complement(X_39),X_166))),
inference(subst,[],[refute_0_191:[bind(X_10,$fot(join(X_39,X_166))),bind(X_11,$fot(complement(meet(complement(X_39),X_166))))]]) ).
cnf(refute_0_387,plain,
( meet(complement(meet(complement(X_39),X_166)),join(X_39,X_166)) != meet(join(X_39,X_166),complement(meet(complement(X_39),X_166)))
| meet(join(X_39,X_166),complement(meet(complement(X_39),X_166))) != meet(join(X_39,X_166),join(X_39,complement(X_166)))
| meet(complement(meet(complement(X_39),X_166)),join(X_39,X_166)) = meet(join(X_39,X_166),join(X_39,complement(X_166))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(meet(complement(X_39),X_166)),join(X_39,X_166)))),bind(Y,$fot(meet(join(X_39,X_166),complement(meet(complement(X_39),X_166))))),bind(Z,$fot(meet(join(X_39,X_166),join(X_39,complement(X_166)))))]]) ).
cnf(refute_0_388,plain,
( meet(join(X_39,X_166),complement(meet(complement(X_39),X_166))) != meet(join(X_39,X_166),join(X_39,complement(X_166)))
| meet(complement(meet(complement(X_39),X_166)),join(X_39,X_166)) = meet(join(X_39,X_166),join(X_39,complement(X_166))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(X_39),X_166)),join(X_39,X_166)),meet(join(X_39,X_166),complement(meet(complement(X_39),X_166)))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
meet(complement(meet(complement(X_39),X_166)),join(X_39,X_166)) = meet(join(X_39,X_166),join(X_39,complement(X_166))),
inference(resolve,[$cnf( $equal(meet(join(X_39,X_166),complement(meet(complement(X_39),X_166))),meet(join(X_39,X_166),join(X_39,complement(X_166)))) )],[refute_0_385,refute_0_388]) ).
cnf(refute_0_390,plain,
( meet(complement(meet(complement(X_39),X_166)),join(X_39,X_166)) != complement(complement(X_39))
| meet(complement(meet(complement(X_39),X_166)),join(X_39,X_166)) != meet(join(X_39,X_166),join(X_39,complement(X_166)))
| meet(join(X_39,X_166),join(X_39,complement(X_166))) = complement(complement(X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(complement(X_39),X_166)),join(X_39,X_166)),complement(complement(X_39))) ),[0],$fot(meet(join(X_39,X_166),join(X_39,complement(X_166))))]]) ).
cnf(refute_0_391,plain,
( meet(complement(meet(complement(X_39),X_166)),join(X_39,X_166)) != complement(complement(X_39))
| meet(join(X_39,X_166),join(X_39,complement(X_166))) = complement(complement(X_39)) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(X_39),X_166)),join(X_39,X_166)),meet(join(X_39,X_166),join(X_39,complement(X_166)))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
( complement(complement(X_39)) != X_39
| meet(join(X_39,X_166),join(X_39,complement(X_166))) != complement(complement(X_39))
| meet(join(X_39,X_166),join(X_39,complement(X_166))) = X_39 ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_39,X_166),join(X_39,complement(X_166))),complement(complement(X_39))) ),[1],$fot(X_39)]]) ).
cnf(refute_0_393,plain,
( meet(join(X_39,X_166),join(X_39,complement(X_166))) != complement(complement(X_39))
| meet(join(X_39,X_166),join(X_39,complement(X_166))) = X_39 ),
inference(resolve,[$cnf( $equal(complement(complement(X_39)),X_39) )],[refute_0_340,refute_0_392]) ).
cnf(refute_0_394,plain,
( meet(complement(meet(complement(X_39),X_166)),join(X_39,X_166)) != complement(complement(X_39))
| meet(join(X_39,X_166),join(X_39,complement(X_166))) = X_39 ),
inference(resolve,[$cnf( $equal(meet(join(X_39,X_166),join(X_39,complement(X_166))),complement(complement(X_39))) )],[refute_0_391,refute_0_393]) ).
cnf(refute_0_395,plain,
meet(join(X_39,X_166),join(X_39,complement(X_166))) = X_39,
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(X_39),X_166)),join(X_39,X_166)),complement(complement(X_39))) )],[refute_0_343,refute_0_394]) ).
cnf(refute_0_396,plain,
meet(join(X_218,X_217),join(X_218,complement(X_217))) = X_218,
inference(subst,[],[refute_0_395:[bind(X_166,$fot(X_217)),bind(X_39,$fot(X_218))]]) ).
cnf(refute_0_397,plain,
join(complement(X_217),X_218) = join(X_218,complement(X_217)),
inference(subst,[],[refute_0_13:[bind(X0,$fot(complement(X_217))),bind(X1,$fot(X_218))]]) ).
cnf(refute_0_398,plain,
( join(complement(X_217),X_218) != join(X_218,complement(X_217))
| join(X_218,complement(X_217)) = join(complement(X_217),X_218) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(complement(X_217),X_218))),bind(Y,$fot(join(X_218,complement(X_217))))]]) ).
cnf(refute_0_399,plain,
join(X_218,complement(X_217)) = join(complement(X_217),X_218),
inference(resolve,[$cnf( $equal(join(complement(X_217),X_218),join(X_218,complement(X_217))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
( join(X_218,complement(X_217)) != join(complement(X_217),X_218)
| meet(join(X_218,X_217),join(X_218,complement(X_217))) != X_218
| meet(join(X_218,X_217),join(complement(X_217),X_218)) = X_218 ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_218,X_217),join(X_218,complement(X_217))),X_218) ),[0,1],$fot(join(complement(X_217),X_218))]]) ).
cnf(refute_0_401,plain,
( meet(join(X_218,X_217),join(X_218,complement(X_217))) != X_218
| meet(join(X_218,X_217),join(complement(X_217),X_218)) = X_218 ),
inference(resolve,[$cnf( $equal(join(X_218,complement(X_217)),join(complement(X_217),X_218)) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
meet(join(X_218,X_217),join(complement(X_217),X_218)) = X_218,
inference(resolve,[$cnf( $equal(meet(join(X_218,X_217),join(X_218,complement(X_217))),X_218) )],[refute_0_396,refute_0_401]) ).
cnf(refute_0_403,plain,
meet(join(composition(X_661,top),complement(meet(X_661,X_662))),join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) = composition(X_661,top),
inference(subst,[],[refute_0_402:[bind(X_217,$fot(complement(meet(X_661,X_662)))),bind(X_218,$fot(composition(X_661,top)))]]) ).
cnf(refute_0_404,plain,
join(X_80,join(X_81,X_82)) = join(join(X_80,X_81),X_82),
inference(subst,[],[refute_0_260:[bind(X0,$fot(X_80)),bind(X1,$fot(X_81)),bind(X2,$fot(X_82))]]) ).
cnf(refute_0_405,plain,
join(X_81,X_80) = join(X_80,X_81),
inference(subst,[],[refute_0_13:[bind(X0,$fot(X_81)),bind(X1,$fot(X_80))]]) ).
cnf(refute_0_406,plain,
( join(X_81,X_80) != join(X_80,X_81)
| join(X_80,X_81) = join(X_81,X_80) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_81,X_80))),bind(Y,$fot(join(X_80,X_81)))]]) ).
cnf(refute_0_407,plain,
join(X_80,X_81) = join(X_81,X_80),
inference(resolve,[$cnf( $equal(join(X_81,X_80),join(X_80,X_81)) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
( join(X_80,X_81) != join(X_81,X_80)
| join(X_80,join(X_81,X_82)) != join(join(X_80,X_81),X_82)
| join(X_80,join(X_81,X_82)) = join(join(X_81,X_80),X_82) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_80,join(X_81,X_82)),join(join(X_80,X_81),X_82)) ),[1,0],$fot(join(X_81,X_80))]]) ).
cnf(refute_0_409,plain,
( join(X_80,join(X_81,X_82)) != join(join(X_80,X_81),X_82)
| join(X_80,join(X_81,X_82)) = join(join(X_81,X_80),X_82) ),
inference(resolve,[$cnf( $equal(join(X_80,X_81),join(X_81,X_80)) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
join(X_80,join(X_81,X_82)) = join(join(X_81,X_80),X_82),
inference(resolve,[$cnf( $equal(join(X_80,join(X_81,X_82)),join(join(X_80,X_81),X_82)) )],[refute_0_404,refute_0_409]) ).
cnf(refute_0_411,plain,
join(join(X_81,X_80),X_82) = join(X_81,join(X_80,X_82)),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_81)),bind(X1,$fot(X_80)),bind(X2,$fot(X_82))]]) ).
cnf(refute_0_412,plain,
( join(X_80,join(X_81,X_82)) != join(join(X_81,X_80),X_82)
| join(join(X_81,X_80),X_82) != join(X_81,join(X_80,X_82))
| join(X_80,join(X_81,X_82)) = join(X_81,join(X_80,X_82)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_80,join(X_81,X_82)),join(X_81,join(X_80,X_82))) ),[0],$fot(join(join(X_81,X_80),X_82))]]) ).
cnf(refute_0_413,plain,
( join(X_80,join(X_81,X_82)) != join(join(X_81,X_80),X_82)
| join(X_80,join(X_81,X_82)) = join(X_81,join(X_80,X_82)) ),
inference(resolve,[$cnf( $equal(join(join(X_81,X_80),X_82),join(X_81,join(X_80,X_82))) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
join(X_80,join(X_81,X_82)) = join(X_81,join(X_80,X_82)),
inference(resolve,[$cnf( $equal(join(X_80,join(X_81,X_82)),join(join(X_81,X_80),X_82)) )],[refute_0_410,refute_0_413]) ).
cnf(refute_0_415,plain,
join(X_260,join(X_261,composition(complement(X_261),top))) = join(X_261,join(X_260,composition(complement(X_261),top))),
inference(subst,[],[refute_0_414:[bind(X_80,$fot(X_260)),bind(X_81,$fot(X_261)),bind(X_82,$fot(composition(complement(X_261),top)))]]) ).
cnf(refute_0_416,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_417,plain,
converse(join(converse(X0),X_16)) = join(converse(converse(X0)),converse(X_16)),
inference(subst,[],[refute_0_416:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_16))]]) ).
cnf(refute_0_418,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_16)) != join(converse(converse(X0)),converse(X_16))
| converse(join(converse(X0),X_16)) = join(X0,converse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_16)),join(converse(converse(X0)),converse(X_16))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_419,plain,
( converse(join(converse(X0),X_16)) != join(converse(converse(X0)),converse(X_16))
| converse(join(converse(X0),X_16)) = join(X0,converse(X_16)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_46,refute_0_418]) ).
cnf(refute_0_420,plain,
converse(join(converse(X0),X_16)) = join(X0,converse(X_16)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_16)),join(converse(converse(X0)),converse(X_16))) )],[refute_0_417,refute_0_419]) ).
cnf(refute_0_421,plain,
converse(join(converse(X_19),complement(converse(X_19)))) = join(X_19,converse(complement(converse(X_19)))),
inference(subst,[],[refute_0_420:[bind(X0,$fot(X_19)),bind(X_16,$fot(complement(converse(X_19))))]]) ).
cnf(refute_0_422,plain,
top = join(converse(X_19),complement(converse(X_19))),
inference(subst,[],[refute_0_138:[bind(X0,$fot(converse(X_19)))]]) ).
cnf(refute_0_423,plain,
( top != join(converse(X_19),complement(converse(X_19)))
| join(converse(X_19),complement(converse(X_19))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_19),complement(converse(X_19)))))]]) ).
cnf(refute_0_424,plain,
join(converse(X_19),complement(converse(X_19))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_19),complement(converse(X_19)))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
( converse(join(converse(X_19),complement(converse(X_19)))) != join(X_19,converse(complement(converse(X_19))))
| join(converse(X_19),complement(converse(X_19))) != top
| converse(top) = join(X_19,converse(complement(converse(X_19)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_19),complement(converse(X_19)))),join(X_19,converse(complement(converse(X_19))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_426,plain,
( converse(join(converse(X_19),complement(converse(X_19)))) != join(X_19,converse(complement(converse(X_19))))
| converse(top) = join(X_19,converse(complement(converse(X_19)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_19),complement(converse(X_19))),top) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
converse(top) = join(X_19,converse(complement(converse(X_19)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_19),complement(converse(X_19)))),join(X_19,converse(complement(converse(X_19))))) )],[refute_0_421,refute_0_426]) ).
cnf(refute_0_428,plain,
converse(top) = join(join(X_15,converse(X0)),converse(complement(converse(join(X_15,converse(X0)))))),
inference(subst,[],[refute_0_427:[bind(X_19,$fot(join(X_15,converse(X0))))]]) ).
cnf(refute_0_429,plain,
converse(join(X_15,converse(X0))) = join(converse(X_15),converse(converse(X0))),
inference(subst,[],[refute_0_416:[bind(X0,$fot(X_15)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_430,plain,
( converse(converse(X0)) != X0
| converse(join(X_15,converse(X0))) != join(converse(X_15),converse(converse(X0)))
| converse(join(X_15,converse(X0))) = join(converse(X_15),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_15,converse(X0))),join(converse(X_15),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_431,plain,
( converse(join(X_15,converse(X0))) != join(converse(X_15),converse(converse(X0)))
| converse(join(X_15,converse(X0))) = join(converse(X_15),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_46,refute_0_430]) ).
cnf(refute_0_432,plain,
converse(join(X_15,converse(X0))) = join(converse(X_15),X0),
inference(resolve,[$cnf( $equal(converse(join(X_15,converse(X0))),join(converse(X_15),converse(converse(X0)))) )],[refute_0_429,refute_0_431]) ).
cnf(refute_0_433,plain,
( converse(join(X_15,converse(X0))) != join(converse(X_15),X0)
| converse(top) != join(join(X_15,converse(X0)),converse(complement(converse(join(X_15,converse(X0))))))
| converse(top) = join(join(X_15,converse(X0)),converse(complement(join(converse(X_15),X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_15,converse(X0)),converse(complement(converse(join(X_15,converse(X0))))))) ),[1,1,0,0],$fot(join(converse(X_15),X0))]]) ).
cnf(refute_0_434,plain,
( converse(top) != join(join(X_15,converse(X0)),converse(complement(converse(join(X_15,converse(X0))))))
| converse(top) = join(join(X_15,converse(X0)),converse(complement(join(converse(X_15),X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_15,converse(X0))),join(converse(X_15),X0)) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
converse(top) = join(join(X_15,converse(X0)),converse(complement(join(converse(X_15),X0)))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_15,converse(X0)),converse(complement(converse(join(X_15,converse(X0))))))) )],[refute_0_428,refute_0_434]) ).
cnf(refute_0_436,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).
cnf(refute_0_437,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_416,refute_0_436]) ).
cnf(refute_0_438,plain,
join(converse(X0),converse(complement(join(converse(X_15),X0)))) = converse(join(X0,complement(join(converse(X_15),X0)))),
inference(subst,[],[refute_0_437:[bind(X1,$fot(complement(join(converse(X_15),X0))))]]) ).
cnf(refute_0_439,plain,
join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0))))) = join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0))))),
introduced(tautology,[refl,[$fot(join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0))))))]]) ).
cnf(refute_0_440,plain,
( join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0))))) != join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0)))))
| join(converse(X0),converse(complement(join(converse(X_15),X0)))) != converse(join(X0,complement(join(converse(X_15),X0))))
| join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0))))) = join(X_15,converse(join(X0,complement(join(converse(X_15),X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0))))),join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0)))))) ),[1,1],$fot(converse(join(X0,complement(join(converse(X_15),X0)))))]]) ).
cnf(refute_0_441,plain,
( join(converse(X0),converse(complement(join(converse(X_15),X0)))) != converse(join(X0,complement(join(converse(X_15),X0))))
| join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0))))) = join(X_15,converse(join(X0,complement(join(converse(X_15),X0))))) ),
inference(resolve,[$cnf( $equal(join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0))))),join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0)))))) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0))))) = join(X_15,converse(join(X0,complement(join(converse(X_15),X0))))),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(complement(join(converse(X_15),X0)))),converse(join(X0,complement(join(converse(X_15),X0))))) )],[refute_0_438,refute_0_441]) ).
cnf(refute_0_443,plain,
join(join(X_15,converse(X0)),converse(complement(join(converse(X_15),X0)))) = join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0))))),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_15)),bind(X1,$fot(converse(X0))),bind(X2,$fot(converse(complement(join(converse(X_15),X0)))))]]) ).
cnf(refute_0_444,plain,
( join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0))))) != join(X_15,converse(join(X0,complement(join(converse(X_15),X0)))))
| join(join(X_15,converse(X0)),converse(complement(join(converse(X_15),X0)))) != join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0)))))
| join(join(X_15,converse(X0)),converse(complement(join(converse(X_15),X0)))) = join(X_15,converse(join(X0,complement(join(converse(X_15),X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_15,converse(X0)),converse(complement(join(converse(X_15),X0)))))),bind(Y,$fot(join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0))))))),bind(Z,$fot(join(X_15,converse(join(X0,complement(join(converse(X_15),X0)))))))]]) ).
cnf(refute_0_445,plain,
( join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0))))) != join(X_15,converse(join(X0,complement(join(converse(X_15),X0)))))
| join(join(X_15,converse(X0)),converse(complement(join(converse(X_15),X0)))) = join(X_15,converse(join(X0,complement(join(converse(X_15),X0))))) ),
inference(resolve,[$cnf( $equal(join(join(X_15,converse(X0)),converse(complement(join(converse(X_15),X0)))),join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0)))))) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
join(join(X_15,converse(X0)),converse(complement(join(converse(X_15),X0)))) = join(X_15,converse(join(X0,complement(join(converse(X_15),X0))))),
inference(resolve,[$cnf( $equal(join(X_15,join(converse(X0),converse(complement(join(converse(X_15),X0))))),join(X_15,converse(join(X0,complement(join(converse(X_15),X0)))))) )],[refute_0_442,refute_0_445]) ).
cnf(refute_0_447,plain,
( converse(top) != join(join(X_15,converse(X0)),converse(complement(join(converse(X_15),X0))))
| join(join(X_15,converse(X0)),converse(complement(join(converse(X_15),X0)))) != join(X_15,converse(join(X0,complement(join(converse(X_15),X0)))))
| converse(top) = join(X_15,converse(join(X0,complement(join(converse(X_15),X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_15,converse(join(X0,complement(join(converse(X_15),X0)))))) ),[0],$fot(join(join(X_15,converse(X0)),converse(complement(join(converse(X_15),X0)))))]]) ).
cnf(refute_0_448,plain,
( converse(top) != join(join(X_15,converse(X0)),converse(complement(join(converse(X_15),X0))))
| converse(top) = join(X_15,converse(join(X0,complement(join(converse(X_15),X0))))) ),
inference(resolve,[$cnf( $equal(join(join(X_15,converse(X0)),converse(complement(join(converse(X_15),X0)))),join(X_15,converse(join(X0,complement(join(converse(X_15),X0)))))) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
converse(top) = join(X_15,converse(join(X0,complement(join(converse(X_15),X0))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_15,converse(X0)),converse(complement(join(converse(X_15),X0))))) )],[refute_0_435,refute_0_448]) ).
cnf(refute_0_450,plain,
top = join(complement(converse(top)),join(complement(X_11),meet(converse(top),X_11))),
inference(subst,[],[refute_0_266:[bind(X_10,$fot(converse(top)))]]) ).
cnf(refute_0_451,plain,
converse(zero) = join(meet(converse(zero),converse(complement(converse(top)))),complement(join(complement(converse(zero)),converse(complement(converse(top)))))),
inference(subst,[],[refute_0_34:[bind(X0,$fot(converse(zero))),bind(X1,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_452,plain,
converse(join(complement(converse(top)),converse(complement(converse(zero))))) = join(converse(complement(converse(top))),converse(converse(complement(converse(zero))))),
inference(subst,[],[refute_0_416:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_453,plain,
top = join(meet(top,X_40),complement(join(complement(top),X_40))),
inference(subst,[],[refute_0_34:[bind(X0,$fot(top)),bind(X1,$fot(X_40))]]) ).
cnf(refute_0_454,plain,
( complement(top) != zero
| top != join(meet(top,X_40),complement(join(complement(top),X_40)))
| top = join(meet(top,X_40),complement(join(zero,X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X_40),complement(join(complement(top),X_40)))) ),[1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_455,plain,
( top != join(meet(top,X_40),complement(join(complement(top),X_40)))
| top = join(meet(top,X_40),complement(join(zero,X_40))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_154,refute_0_454]) ).
cnf(refute_0_456,plain,
top = join(meet(top,X_40),complement(join(zero,X_40))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X_40),complement(join(complement(top),X_40)))) )],[refute_0_453,refute_0_455]) ).
cnf(refute_0_457,plain,
top = join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero)))))),
inference(subst,[],[refute_0_456:[bind(X_40,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_458,plain,
converse(top) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_427:[bind(X_19,$fot(zero))]]) ).
cnf(refute_0_459,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) = converse(top) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_460,plain,
join(zero,converse(complement(converse(zero)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(zero))))) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
( join(zero,converse(complement(converse(zero)))) != converse(top)
| top != join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))
| top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_462,plain,
( top != join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))
| top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(top)) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))),
inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))) )],[refute_0_457,refute_0_462]) ).
cnf(refute_0_464,plain,
join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_465,plain,
( join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top != join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))
| top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))) ),[1],$fot(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_466,plain,
( top != join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))
| top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,converse(complement(converse(zero)))),complement(converse(top))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))) )],[refute_0_463,refute_0_466]) ).
cnf(refute_0_468,plain,
meet(top,converse(complement(converse(zero)))) = converse(complement(converse(zero))),
inference(subst,[],[refute_0_357:[bind(X1,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_469,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_470,plain,
( join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| meet(top,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(complement(converse(top)),converse(complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) ),[1,1],$fot(converse(complement(converse(zero))))]]) ).
cnf(refute_0_471,plain,
( meet(top,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(complement(converse(top)),converse(complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(complement(converse(top)),converse(complement(converse(zero)))),
inference(resolve,[$cnf( $equal(meet(top,converse(complement(converse(zero)))),converse(complement(converse(zero)))) )],[refute_0_468,refute_0_471]) ).
cnf(refute_0_473,plain,
( join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != join(complement(converse(top)),converse(complement(converse(zero))))
| top != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top = join(complement(converse(top)),converse(complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) ),[1],$fot(join(complement(converse(top)),converse(complement(converse(zero)))))]]) ).
cnf(refute_0_474,plain,
( top != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top = join(complement(converse(top)),converse(complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(complement(converse(top)),converse(complement(converse(zero))))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
top = join(complement(converse(top)),converse(complement(converse(zero)))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_467,refute_0_474]) ).
cnf(refute_0_476,plain,
( top != join(complement(converse(top)),converse(complement(converse(zero))))
| join(complement(converse(top)),converse(complement(converse(zero)))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(complement(converse(top)),converse(complement(converse(zero))))))]]) ).
cnf(refute_0_477,plain,
join(complement(converse(top)),converse(complement(converse(zero)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(converse(top)),converse(complement(converse(zero))))) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
( converse(join(complement(converse(top)),converse(complement(converse(zero))))) != join(converse(complement(converse(top))),converse(converse(complement(converse(zero)))))
| join(complement(converse(top)),converse(complement(converse(zero)))) != top
| converse(top) = join(converse(complement(converse(top))),converse(converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(top)),converse(complement(converse(zero))))),join(converse(complement(converse(top))),converse(converse(complement(converse(zero)))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_479,plain,
( converse(join(complement(converse(top)),converse(complement(converse(zero))))) != join(converse(complement(converse(top))),converse(converse(complement(converse(zero)))))
| converse(top) = join(converse(complement(converse(top))),converse(converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(complement(converse(zero)))),top) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
converse(top) = join(converse(complement(converse(top))),converse(converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),converse(complement(converse(zero))))),join(converse(complement(converse(top))),converse(converse(complement(converse(zero)))))) )],[refute_0_452,refute_0_479]) ).
cnf(refute_0_481,plain,
join(converse(complement(converse(top))),complement(converse(zero))) = join(complement(converse(zero)),converse(complement(converse(top)))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(converse(zero)))),bind(X1,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_482,plain,
converse(join(complement(converse(top)),converse(complement(converse(zero))))) = join(converse(complement(converse(top))),complement(converse(zero))),
inference(subst,[],[refute_0_432:[bind(X0,$fot(complement(converse(zero)))),bind(X_15,$fot(complement(converse(top))))]]) ).
cnf(refute_0_483,plain,
( converse(join(complement(converse(top)),converse(complement(converse(zero))))) != join(converse(complement(converse(top))),complement(converse(zero)))
| join(converse(complement(converse(top))),complement(converse(zero))) != join(complement(converse(zero)),converse(complement(converse(top))))
| converse(join(complement(converse(top)),converse(complement(converse(zero))))) = join(complement(converse(zero)),converse(complement(converse(top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(converse(top)),converse(complement(converse(zero))))))),bind(Y,$fot(join(converse(complement(converse(top))),complement(converse(zero))))),bind(Z,$fot(join(complement(converse(zero)),converse(complement(converse(top))))))]]) ).
cnf(refute_0_484,plain,
( join(converse(complement(converse(top))),complement(converse(zero))) != join(complement(converse(zero)),converse(complement(converse(top))))
| converse(join(complement(converse(top)),converse(complement(converse(zero))))) = join(complement(converse(zero)),converse(complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),converse(complement(converse(zero))))),join(converse(complement(converse(top))),complement(converse(zero)))) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
converse(join(complement(converse(top)),converse(complement(converse(zero))))) = join(complement(converse(zero)),converse(complement(converse(top)))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),complement(converse(zero))),join(complement(converse(zero)),converse(complement(converse(top))))) )],[refute_0_481,refute_0_484]) ).
cnf(refute_0_486,plain,
join(converse(complement(converse(top))),converse(converse(complement(converse(zero))))) = converse(join(complement(converse(top)),converse(complement(converse(zero))))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_487,plain,
( converse(join(complement(converse(top)),converse(complement(converse(zero))))) != join(complement(converse(zero)),converse(complement(converse(top))))
| join(converse(complement(converse(top))),converse(converse(complement(converse(zero))))) != converse(join(complement(converse(top)),converse(complement(converse(zero)))))
| join(converse(complement(converse(top))),converse(converse(complement(converse(zero))))) = join(complement(converse(zero)),converse(complement(converse(top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(converse(top))),converse(converse(complement(converse(zero))))))),bind(Y,$fot(converse(join(complement(converse(top)),converse(complement(converse(zero))))))),bind(Z,$fot(join(complement(converse(zero)),converse(complement(converse(top))))))]]) ).
cnf(refute_0_488,plain,
( converse(join(complement(converse(top)),converse(complement(converse(zero))))) != join(complement(converse(zero)),converse(complement(converse(top))))
| join(converse(complement(converse(top))),converse(converse(complement(converse(zero))))) = join(complement(converse(zero)),converse(complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),converse(converse(complement(converse(zero))))),converse(join(complement(converse(top)),converse(complement(converse(zero)))))) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
join(converse(complement(converse(top))),converse(converse(complement(converse(zero))))) = join(complement(converse(zero)),converse(complement(converse(top)))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(top)),converse(complement(converse(zero))))),join(complement(converse(zero)),converse(complement(converse(top))))) )],[refute_0_485,refute_0_488]) ).
cnf(refute_0_490,plain,
( converse(top) != join(converse(complement(converse(top))),converse(converse(complement(converse(zero)))))
| join(converse(complement(converse(top))),converse(converse(complement(converse(zero))))) != join(complement(converse(zero)),converse(complement(converse(top))))
| converse(top) = join(complement(converse(zero)),converse(complement(converse(top)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(complement(converse(zero)),converse(complement(converse(top))))) ),[0],$fot(join(converse(complement(converse(top))),converse(converse(complement(converse(zero))))))]]) ).
cnf(refute_0_491,plain,
( converse(top) != join(converse(complement(converse(top))),converse(converse(complement(converse(zero)))))
| converse(top) = join(complement(converse(zero)),converse(complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),converse(converse(complement(converse(zero))))),join(complement(converse(zero)),converse(complement(converse(top))))) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
converse(top) = join(complement(converse(zero)),converse(complement(converse(top)))),
inference(resolve,[$cnf( $equal(converse(top),join(converse(complement(converse(top))),converse(converse(complement(converse(zero)))))) )],[refute_0_480,refute_0_491]) ).
cnf(refute_0_493,plain,
( converse(top) != join(complement(converse(zero)),converse(complement(converse(top))))
| join(complement(converse(zero)),converse(complement(converse(top)))) = converse(top) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(converse(zero)),converse(complement(converse(top))))))]]) ).
cnf(refute_0_494,plain,
join(complement(converse(zero)),converse(complement(converse(top)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(converse(zero)),converse(complement(converse(top))))) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
( converse(zero) != join(meet(converse(zero),converse(complement(converse(top)))),complement(join(complement(converse(zero)),converse(complement(converse(top))))))
| join(complement(converse(zero)),converse(complement(converse(top)))) != converse(top)
| converse(zero) = join(meet(converse(zero),converse(complement(converse(top)))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),join(meet(converse(zero),converse(complement(converse(top)))),complement(join(complement(converse(zero)),converse(complement(converse(top))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_496,plain,
( converse(zero) != join(meet(converse(zero),converse(complement(converse(top)))),complement(join(complement(converse(zero)),converse(complement(converse(top))))))
| converse(zero) = join(meet(converse(zero),converse(complement(converse(top)))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(converse(top)))),converse(top)) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
converse(zero) = join(meet(converse(zero),converse(complement(converse(top)))),complement(converse(top))),
inference(resolve,[$cnf( $equal(converse(zero),join(meet(converse(zero),converse(complement(converse(top)))),complement(join(complement(converse(zero)),converse(complement(converse(top))))))) )],[refute_0_451,refute_0_496]) ).
cnf(refute_0_498,plain,
join(meet(converse(zero),converse(complement(converse(top)))),complement(converse(top))) = join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(converse(zero),converse(complement(converse(top))))))]]) ).
cnf(refute_0_499,plain,
( converse(zero) != join(meet(converse(zero),converse(complement(converse(top)))),complement(converse(top)))
| join(meet(converse(zero),converse(complement(converse(top)))),complement(converse(top))) != join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top)))))
| converse(zero) = join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(zero),join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top)))))) ),[0],$fot(join(meet(converse(zero),converse(complement(converse(top)))),complement(converse(top))))]]) ).
cnf(refute_0_500,plain,
( converse(zero) != join(meet(converse(zero),converse(complement(converse(top)))),complement(converse(top)))
| converse(zero) = join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(zero),converse(complement(converse(top)))),complement(converse(top))),join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top)))))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
converse(zero) = join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(converse(zero),join(meet(converse(zero),converse(complement(converse(top)))),complement(converse(top)))) )],[refute_0_497,refute_0_500]) ).
cnf(refute_0_502,plain,
zero = meet(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_0_100:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_0_503,plain,
converse(converse(complement(converse(zero)))) = complement(converse(zero)),
inference(subst,[],[refute_0_46:[bind(X0,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_504,plain,
X_39 = join(meet(X_39,complement(complement(X_39))),complement(join(complement(X_39),complement(complement(X_39))))),
inference(subst,[],[refute_0_34:[bind(X0,$fot(X_39)),bind(X1,$fot(complement(complement(X_39))))]]) ).
cnf(refute_0_505,plain,
top = join(complement(X_39),complement(complement(X_39))),
inference(subst,[],[refute_0_138:[bind(X0,$fot(complement(X_39)))]]) ).
cnf(refute_0_506,plain,
( top != join(complement(X_39),complement(complement(X_39)))
| join(complement(X_39),complement(complement(X_39))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_39),complement(complement(X_39)))))]]) ).
cnf(refute_0_507,plain,
join(complement(X_39),complement(complement(X_39))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_39),complement(complement(X_39)))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
( X_39 != join(meet(X_39,complement(complement(X_39))),complement(join(complement(X_39),complement(complement(X_39)))))
| join(complement(X_39),complement(complement(X_39))) != top
| X_39 = join(meet(X_39,complement(complement(X_39))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_39,join(meet(X_39,complement(complement(X_39))),complement(join(complement(X_39),complement(complement(X_39)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_509,plain,
( X_39 != join(meet(X_39,complement(complement(X_39))),complement(join(complement(X_39),complement(complement(X_39)))))
| X_39 = join(meet(X_39,complement(complement(X_39))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),complement(complement(X_39))),top) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
X_39 = join(meet(X_39,complement(complement(X_39))),complement(top)),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,complement(complement(X_39))),complement(join(complement(X_39),complement(complement(X_39)))))) )],[refute_0_504,refute_0_509]) ).
cnf(refute_0_511,plain,
join(complement(top),meet(X_39,complement(complement(X_39)))) = join(complement(top),meet(X_39,complement(complement(X_39)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_39,complement(complement(X_39)))))]]) ).
cnf(refute_0_512,plain,
( complement(top) != zero
| join(complement(top),meet(X_39,complement(complement(X_39)))) != join(complement(top),meet(X_39,complement(complement(X_39))))
| join(complement(top),meet(X_39,complement(complement(X_39)))) = join(zero,meet(X_39,complement(complement(X_39)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_39,complement(complement(X_39)))),join(complement(top),meet(X_39,complement(complement(X_39))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_513,plain,
( complement(top) != zero
| join(complement(top),meet(X_39,complement(complement(X_39)))) = join(zero,meet(X_39,complement(complement(X_39)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_39,complement(complement(X_39)))),join(complement(top),meet(X_39,complement(complement(X_39))))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
join(complement(top),meet(X_39,complement(complement(X_39)))) = join(zero,meet(X_39,complement(complement(X_39)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_154,refute_0_513]) ).
cnf(refute_0_515,plain,
join(meet(X_39,complement(complement(X_39))),complement(top)) = join(complement(top),meet(X_39,complement(complement(X_39)))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_39,complement(complement(X_39)))))]]) ).
cnf(refute_0_516,plain,
( join(complement(top),meet(X_39,complement(complement(X_39)))) != join(zero,meet(X_39,complement(complement(X_39))))
| join(meet(X_39,complement(complement(X_39))),complement(top)) != join(complement(top),meet(X_39,complement(complement(X_39))))
| join(meet(X_39,complement(complement(X_39))),complement(top)) = join(zero,meet(X_39,complement(complement(X_39)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_39,complement(complement(X_39))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_39,complement(complement(X_39)))))),bind(Z,$fot(join(zero,meet(X_39,complement(complement(X_39))))))]]) ).
cnf(refute_0_517,plain,
( join(complement(top),meet(X_39,complement(complement(X_39)))) != join(zero,meet(X_39,complement(complement(X_39))))
| join(meet(X_39,complement(complement(X_39))),complement(top)) = join(zero,meet(X_39,complement(complement(X_39)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,complement(complement(X_39))),complement(top)),join(complement(top),meet(X_39,complement(complement(X_39))))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
join(meet(X_39,complement(complement(X_39))),complement(top)) = join(zero,meet(X_39,complement(complement(X_39)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_39,complement(complement(X_39)))),join(zero,meet(X_39,complement(complement(X_39))))) )],[refute_0_514,refute_0_517]) ).
cnf(refute_0_519,plain,
( X_39 != join(meet(X_39,complement(complement(X_39))),complement(top))
| join(meet(X_39,complement(complement(X_39))),complement(top)) != join(zero,meet(X_39,complement(complement(X_39))))
| X_39 = join(zero,meet(X_39,complement(complement(X_39)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,join(zero,meet(X_39,complement(complement(X_39))))) ),[0],$fot(join(meet(X_39,complement(complement(X_39))),complement(top)))]]) ).
cnf(refute_0_520,plain,
( X_39 != join(meet(X_39,complement(complement(X_39))),complement(top))
| X_39 = join(zero,meet(X_39,complement(complement(X_39)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,complement(complement(X_39))),complement(top)),join(zero,meet(X_39,complement(complement(X_39))))) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
X_39 = join(zero,meet(X_39,complement(complement(X_39)))),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,complement(complement(X_39))),complement(top))) )],[refute_0_510,refute_0_520]) ).
cnf(refute_0_522,plain,
( complement(complement(X1)) != X1
| meet(X1,X1) != complement(complement(X1))
| meet(X1,X1) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(complement(X1))) ),[1],$fot(X1)]]) ).
cnf(refute_0_523,plain,
( meet(X1,X1) != complement(complement(X1))
| meet(X1,X1) = X1 ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_354,refute_0_522]) ).
cnf(refute_0_524,plain,
meet(X1,X1) = X1,
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(complement(X1))) )],[refute_0_272,refute_0_523]) ).
cnf(refute_0_525,plain,
meet(X_39,X_39) = X_39,
inference(subst,[],[refute_0_524:[bind(X1,$fot(X_39))]]) ).
cnf(refute_0_526,plain,
meet(X_39,complement(complement(X_39))) = meet(X_39,complement(complement(X_39))),
introduced(tautology,[refl,[$fot(meet(X_39,complement(complement(X_39))))]]) ).
cnf(refute_0_527,plain,
( complement(complement(X_39)) != X_39
| meet(X_39,complement(complement(X_39))) != meet(X_39,complement(complement(X_39)))
| meet(X_39,complement(complement(X_39))) = meet(X_39,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_39,complement(complement(X_39))),meet(X_39,complement(complement(X_39)))) ),[1,1],$fot(X_39)]]) ).
cnf(refute_0_528,plain,
( complement(complement(X_39)) != X_39
| meet(X_39,complement(complement(X_39))) = meet(X_39,X_39) ),
inference(resolve,[$cnf( $equal(meet(X_39,complement(complement(X_39))),meet(X_39,complement(complement(X_39)))) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
meet(X_39,complement(complement(X_39))) = meet(X_39,X_39),
inference(resolve,[$cnf( $equal(complement(complement(X_39)),X_39) )],[refute_0_340,refute_0_528]) ).
cnf(refute_0_530,plain,
( meet(X_39,X_39) != X_39
| meet(X_39,complement(complement(X_39))) != meet(X_39,X_39)
| meet(X_39,complement(complement(X_39))) = X_39 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(X_39,complement(complement(X_39))))),bind(Y,$fot(meet(X_39,X_39))),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_531,plain,
( meet(X_39,X_39) != X_39
| meet(X_39,complement(complement(X_39))) = X_39 ),
inference(resolve,[$cnf( $equal(meet(X_39,complement(complement(X_39))),meet(X_39,X_39)) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
meet(X_39,complement(complement(X_39))) = X_39,
inference(resolve,[$cnf( $equal(meet(X_39,X_39),X_39) )],[refute_0_525,refute_0_531]) ).
cnf(refute_0_533,plain,
join(zero,meet(X_39,complement(complement(X_39)))) = join(zero,meet(X_39,complement(complement(X_39)))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_39,complement(complement(X_39)))))]]) ).
cnf(refute_0_534,plain,
( join(zero,meet(X_39,complement(complement(X_39)))) != join(zero,meet(X_39,complement(complement(X_39))))
| meet(X_39,complement(complement(X_39))) != X_39
| join(zero,meet(X_39,complement(complement(X_39)))) = join(zero,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_39,complement(complement(X_39)))),join(zero,meet(X_39,complement(complement(X_39))))) ),[1,1],$fot(X_39)]]) ).
cnf(refute_0_535,plain,
( meet(X_39,complement(complement(X_39))) != X_39
| join(zero,meet(X_39,complement(complement(X_39)))) = join(zero,X_39) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_39,complement(complement(X_39)))),join(zero,meet(X_39,complement(complement(X_39))))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
join(zero,meet(X_39,complement(complement(X_39)))) = join(zero,X_39),
inference(resolve,[$cnf( $equal(meet(X_39,complement(complement(X_39))),X_39) )],[refute_0_532,refute_0_535]) ).
cnf(refute_0_537,plain,
( X_39 != join(zero,meet(X_39,complement(complement(X_39))))
| join(zero,meet(X_39,complement(complement(X_39)))) != join(zero,X_39)
| X_39 = join(zero,X_39) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,join(zero,X_39)) ),[0],$fot(join(zero,meet(X_39,complement(complement(X_39)))))]]) ).
cnf(refute_0_538,plain,
( X_39 != join(zero,meet(X_39,complement(complement(X_39))))
| X_39 = join(zero,X_39) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_39,complement(complement(X_39)))),join(zero,X_39)) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
X_39 = join(zero,X_39),
inference(resolve,[$cnf( $equal(X_39,join(zero,meet(X_39,complement(complement(X_39))))) )],[refute_0_521,refute_0_538]) ).
cnf(refute_0_540,plain,
converse(complement(converse(zero))) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_539:[bind(X_39,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_541,plain,
( converse(complement(converse(zero))) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) = converse(complement(converse(zero))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(complement(converse(zero))))),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_542,plain,
join(zero,converse(complement(converse(zero)))) = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),join(zero,converse(complement(converse(zero))))) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| converse(top) = converse(complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),converse(complement(converse(zero)))) ),[0],$fot(join(zero,converse(complement(converse(zero)))))]]) ).
cnf(refute_0_544,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| converse(top) = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(complement(converse(zero)))) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
converse(top) = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(zero))))) )],[refute_0_458,refute_0_544]) ).
cnf(refute_0_546,plain,
( converse(top) != converse(complement(converse(zero)))
| converse(complement(converse(zero))) = converse(top) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_547,plain,
converse(complement(converse(zero))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),converse(complement(converse(zero)))) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
( converse(complement(converse(zero))) != converse(top)
| converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(converse(top)) = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) ),[0,0],$fot(converse(top))]]) ).
cnf(refute_0_549,plain,
( converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(converse(top)) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),converse(top)) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
converse(converse(top)) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) )],[refute_0_503,refute_0_549]) ).
cnf(refute_0_551,plain,
converse(converse(top)) = top,
inference(subst,[],[refute_0_46:[bind(X0,$fot(top))]]) ).
cnf(refute_0_552,plain,
( converse(converse(top)) != complement(converse(zero))
| converse(converse(top)) != top
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(top)),complement(converse(zero))) ),[0],$fot(top)]]) ).
cnf(refute_0_553,plain,
( converse(converse(top)) != complement(converse(zero))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(converse(top)),complement(converse(zero))) )],[refute_0_550,refute_0_553]) ).
cnf(refute_0_555,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_556,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
( complement(converse(zero)) != top
| zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_558,plain,
( zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
zero = meet(converse(zero),top),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) )],[refute_0_502,refute_0_558]) ).
cnf(refute_0_560,plain,
converse(zero) = join(meet(converse(zero),X1),complement(join(complement(converse(zero)),X1))),
inference(subst,[],[refute_0_34:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_0_561,plain,
( complement(converse(zero)) != top
| converse(zero) != join(meet(converse(zero),X1),complement(join(complement(converse(zero)),X1)))
| converse(zero) = join(meet(converse(zero),X1),complement(join(top,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),join(meet(converse(zero),X1),complement(join(complement(converse(zero)),X1)))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_562,plain,
( converse(zero) != join(meet(converse(zero),X1),complement(join(complement(converse(zero)),X1)))
| converse(zero) = join(meet(converse(zero),X1),complement(join(top,X1))) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_556,refute_0_561]) ).
cnf(refute_0_563,plain,
converse(zero) = join(meet(converse(zero),X1),complement(join(top,X1))),
inference(resolve,[$cnf( $equal(converse(zero),join(meet(converse(zero),X1),complement(join(complement(converse(zero)),X1)))) )],[refute_0_560,refute_0_562]) ).
cnf(refute_0_564,plain,
( X_39 != join(zero,X_39)
| join(zero,X_39) = X_39 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_39)),bind(Y,$fot(join(zero,X_39)))]]) ).
cnf(refute_0_565,plain,
join(zero,X_39) = X_39,
inference(resolve,[$cnf( $equal(X_39,join(zero,X_39)) )],[refute_0_539,refute_0_564]) ).
cnf(refute_0_566,plain,
join(zero,meet(converse(zero),X1)) = meet(converse(zero),X1),
inference(subst,[],[refute_0_565:[bind(X_39,$fot(meet(converse(zero),X1)))]]) ).
cnf(refute_0_567,plain,
zero = join(meet(zero,X1),complement(join(complement(zero),X1))),
inference(subst,[],[refute_0_34:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_568,plain,
( complement(zero) != top
| zero != join(meet(zero,X1),complement(join(complement(zero),X1)))
| zero = join(meet(zero,X1),complement(join(top,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(complement(zero),X1)))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_569,plain,
( zero != join(meet(zero,X1),complement(join(complement(zero),X1)))
| zero = join(meet(zero,X1),complement(join(top,X1))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_252,refute_0_568]) ).
cnf(refute_0_570,plain,
zero = join(meet(zero,X1),complement(join(top,X1))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(complement(zero),X1)))) )],[refute_0_567,refute_0_569]) ).
cnf(refute_0_571,plain,
join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),complement(join(top,X1))),
introduced(tautology,[refl,[$fot(join(meet(zero,X1),complement(join(top,X1))))]]) ).
cnf(refute_0_572,plain,
( join(meet(zero,X1),complement(join(top,X1))) != join(meet(zero,X1),complement(join(top,X1)))
| meet(zero,X1) != zero
| join(meet(zero,X1),complement(join(top,X1))) = join(zero,complement(join(top,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),complement(join(top,X1)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_573,plain,
( meet(zero,X1) != zero
| join(meet(zero,X1),complement(join(top,X1))) = join(zero,complement(join(top,X1))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),complement(join(top,X1)))) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
join(meet(zero,X1),complement(join(top,X1))) = join(zero,complement(join(top,X1))),
inference(resolve,[$cnf( $equal(meet(zero,X1),zero) )],[refute_0_301,refute_0_573]) ).
cnf(refute_0_575,plain,
( join(meet(zero,X1),complement(join(top,X1))) != join(zero,complement(join(top,X1)))
| zero != join(meet(zero,X1),complement(join(top,X1)))
| zero = join(zero,complement(join(top,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(top,X1)))) ),[1],$fot(join(zero,complement(join(top,X1))))]]) ).
cnf(refute_0_576,plain,
( zero != join(meet(zero,X1),complement(join(top,X1)))
| zero = join(zero,complement(join(top,X1))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(zero,complement(join(top,X1)))) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
zero = join(zero,complement(join(top,X1))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(top,X1)))) )],[refute_0_570,refute_0_576]) ).
cnf(refute_0_578,plain,
join(zero,complement(join(top,X1))) = complement(join(top,X1)),
inference(subst,[],[refute_0_565:[bind(X_39,$fot(complement(join(top,X1))))]]) ).
cnf(refute_0_579,plain,
( join(zero,complement(join(top,X1))) != complement(join(top,X1))
| zero != join(zero,complement(join(top,X1)))
| zero = complement(join(top,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,complement(join(top,X1)))) ),[1],$fot(complement(join(top,X1)))]]) ).
cnf(refute_0_580,plain,
( zero != join(zero,complement(join(top,X1)))
| zero = complement(join(top,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,X1))),complement(join(top,X1))) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
zero = complement(join(top,X1)),
inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(top,X1)))) )],[refute_0_577,refute_0_580]) ).
cnf(refute_0_582,plain,
( zero != complement(join(top,X1))
| complement(join(top,X1)) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(complement(join(top,X1))))]]) ).
cnf(refute_0_583,plain,
complement(join(top,X1)) = zero,
inference(resolve,[$cnf( $equal(zero,complement(join(top,X1))) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
join(complement(join(top,X1)),meet(converse(zero),X1)) = join(complement(join(top,X1)),meet(converse(zero),X1)),
introduced(tautology,[refl,[$fot(join(complement(join(top,X1)),meet(converse(zero),X1)))]]) ).
cnf(refute_0_585,plain,
( complement(join(top,X1)) != zero
| join(complement(join(top,X1)),meet(converse(zero),X1)) != join(complement(join(top,X1)),meet(converse(zero),X1))
| join(complement(join(top,X1)),meet(converse(zero),X1)) = join(zero,meet(converse(zero),X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,X1)),meet(converse(zero),X1)),join(complement(join(top,X1)),meet(converse(zero),X1))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_586,plain,
( complement(join(top,X1)) != zero
| join(complement(join(top,X1)),meet(converse(zero),X1)) = join(zero,meet(converse(zero),X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X1)),meet(converse(zero),X1)),join(complement(join(top,X1)),meet(converse(zero),X1))) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
join(complement(join(top,X1)),meet(converse(zero),X1)) = join(zero,meet(converse(zero),X1)),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),zero) )],[refute_0_583,refute_0_586]) ).
cnf(refute_0_588,plain,
( join(complement(join(top,X1)),meet(converse(zero),X1)) != join(zero,meet(converse(zero),X1))
| join(zero,meet(converse(zero),X1)) != meet(converse(zero),X1)
| join(complement(join(top,X1)),meet(converse(zero),X1)) = meet(converse(zero),X1) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(join(top,X1)),meet(converse(zero),X1)))),bind(Y,$fot(join(zero,meet(converse(zero),X1)))),bind(Z,$fot(meet(converse(zero),X1)))]]) ).
cnf(refute_0_589,plain,
( join(zero,meet(converse(zero),X1)) != meet(converse(zero),X1)
| join(complement(join(top,X1)),meet(converse(zero),X1)) = meet(converse(zero),X1) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X1)),meet(converse(zero),X1)),join(zero,meet(converse(zero),X1))) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
join(complement(join(top,X1)),meet(converse(zero),X1)) = meet(converse(zero),X1),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),X1)),meet(converse(zero),X1)) )],[refute_0_566,refute_0_589]) ).
cnf(refute_0_591,plain,
join(meet(converse(zero),X1),complement(join(top,X1))) = join(complement(join(top,X1)),meet(converse(zero),X1)),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(join(top,X1)))),bind(X1,$fot(meet(converse(zero),X1)))]]) ).
cnf(refute_0_592,plain,
( join(complement(join(top,X1)),meet(converse(zero),X1)) != meet(converse(zero),X1)
| join(meet(converse(zero),X1),complement(join(top,X1))) != join(complement(join(top,X1)),meet(converse(zero),X1))
| join(meet(converse(zero),X1),complement(join(top,X1))) = meet(converse(zero),X1) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(converse(zero),X1),complement(join(top,X1))))),bind(Y,$fot(join(complement(join(top,X1)),meet(converse(zero),X1)))),bind(Z,$fot(meet(converse(zero),X1)))]]) ).
cnf(refute_0_593,plain,
( join(complement(join(top,X1)),meet(converse(zero),X1)) != meet(converse(zero),X1)
| join(meet(converse(zero),X1),complement(join(top,X1))) = meet(converse(zero),X1) ),
inference(resolve,[$cnf( $equal(join(meet(converse(zero),X1),complement(join(top,X1))),join(complement(join(top,X1)),meet(converse(zero),X1))) )],[refute_0_591,refute_0_592]) ).
cnf(refute_0_594,plain,
join(meet(converse(zero),X1),complement(join(top,X1))) = meet(converse(zero),X1),
inference(resolve,[$cnf( $equal(join(complement(join(top,X1)),meet(converse(zero),X1)),meet(converse(zero),X1)) )],[refute_0_590,refute_0_593]) ).
cnf(refute_0_595,plain,
( converse(zero) != join(meet(converse(zero),X1),complement(join(top,X1)))
| join(meet(converse(zero),X1),complement(join(top,X1))) != meet(converse(zero),X1)
| converse(zero) = meet(converse(zero),X1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(zero),meet(converse(zero),X1)) ),[0],$fot(join(meet(converse(zero),X1),complement(join(top,X1))))]]) ).
cnf(refute_0_596,plain,
( converse(zero) != join(meet(converse(zero),X1),complement(join(top,X1)))
| converse(zero) = meet(converse(zero),X1) ),
inference(resolve,[$cnf( $equal(join(meet(converse(zero),X1),complement(join(top,X1))),meet(converse(zero),X1)) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
converse(zero) = meet(converse(zero),X1),
inference(resolve,[$cnf( $equal(converse(zero),join(meet(converse(zero),X1),complement(join(top,X1)))) )],[refute_0_563,refute_0_596]) ).
cnf(refute_0_598,plain,
( converse(zero) != meet(converse(zero),X1)
| meet(converse(zero),X1) = converse(zero) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(zero))),bind(Y,$fot(meet(converse(zero),X1)))]]) ).
cnf(refute_0_599,plain,
meet(converse(zero),X1) = converse(zero),
inference(resolve,[$cnf( $equal(converse(zero),meet(converse(zero),X1)) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
meet(converse(zero),top) = converse(zero),
inference(subst,[],[refute_0_599:[bind(X1,$fot(top))]]) ).
cnf(refute_0_601,plain,
( meet(converse(zero),top) != converse(zero)
| zero != meet(converse(zero),top)
| zero = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),top)) ),[1],$fot(converse(zero))]]) ).
cnf(refute_0_602,plain,
( zero != meet(converse(zero),top)
| zero = converse(zero) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),top),converse(zero)) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
zero = converse(zero),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),top)) )],[refute_0_559,refute_0_602]) ).
cnf(refute_0_604,plain,
( zero != converse(zero)
| converse(zero) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(converse(zero)))]]) ).
cnf(refute_0_605,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(zero,converse(zero)) )],[refute_0_603,refute_0_604]) ).
cnf(refute_0_606,plain,
( converse(zero) != join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top)))))
| converse(zero) != zero
| zero = join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top)))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_607,plain,
( converse(zero) != join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top)))))
| zero = join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
meet(X0,zero) = complement(join(complement(X0),complement(zero))),
inference(subst,[],[refute_0_1:[bind(X1,$fot(zero))]]) ).
cnf(refute_0_609,plain,
( complement(zero) != top
| meet(X0,zero) != complement(join(complement(X0),complement(zero)))
| meet(X0,zero) = complement(join(complement(X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,zero),complement(join(complement(X0),complement(zero)))) ),[1,0,1],$fot(top)]]) ).
cnf(refute_0_610,plain,
( meet(X0,zero) != complement(join(complement(X0),complement(zero)))
| meet(X0,zero) = complement(join(complement(X0),top)) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_252,refute_0_609]) ).
cnf(refute_0_611,plain,
meet(X0,zero) = complement(join(complement(X0),top)),
inference(resolve,[$cnf( $equal(meet(X0,zero),complement(join(complement(X0),complement(zero)))) )],[refute_0_608,refute_0_610]) ).
cnf(refute_0_612,plain,
join(top,complement(X0)) = top,
inference(subst,[],[refute_0_290:[bind(X_11,$fot(X0))]]) ).
cnf(refute_0_613,plain,
join(complement(X0),top) = join(top,complement(X0)),
inference(subst,[],[refute_0_15:[bind(X0,$fot(top)),bind(X1,$fot(complement(X0)))]]) ).
cnf(refute_0_614,plain,
( join(complement(X0),top) != join(top,complement(X0))
| join(top,complement(X0)) != top
| join(complement(X0),top) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X0),top))),bind(Y,$fot(join(top,complement(X0)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_615,plain,
( join(top,complement(X0)) != top
| join(complement(X0),top) = top ),
inference(resolve,[$cnf( $equal(join(complement(X0),top),join(top,complement(X0))) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
join(complement(X0),top) = top,
inference(resolve,[$cnf( $equal(join(top,complement(X0)),top) )],[refute_0_612,refute_0_615]) ).
cnf(refute_0_617,plain,
complement(join(complement(X0),top)) = complement(join(complement(X0),top)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),top)))]]) ).
cnf(refute_0_618,plain,
( complement(join(complement(X0),top)) != complement(join(complement(X0),top))
| join(complement(X0),top) != top
| complement(join(complement(X0),top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),top)),complement(join(complement(X0),top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_619,plain,
( join(complement(X0),top) != top
| complement(join(complement(X0),top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),top)),complement(join(complement(X0),top))) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
complement(join(complement(X0),top)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(X0),top),top) )],[refute_0_616,refute_0_619]) ).
cnf(refute_0_621,plain,
( complement(join(complement(X0),top)) != complement(top)
| complement(top) != zero
| complement(join(complement(X0),top)) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(complement(X0),top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_622,plain,
( complement(top) != zero
| complement(join(complement(X0),top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),top)),complement(top)) )],[refute_0_620,refute_0_621]) ).
cnf(refute_0_623,plain,
complement(join(complement(X0),top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_154,refute_0_622]) ).
cnf(refute_0_624,plain,
( complement(join(complement(X0),top)) != zero
| meet(X0,zero) != complement(join(complement(X0),top))
| meet(X0,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,zero),complement(join(complement(X0),top))) ),[1],$fot(zero)]]) ).
cnf(refute_0_625,plain,
( meet(X0,zero) != complement(join(complement(X0),top))
| meet(X0,zero) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),top)),zero) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
meet(X0,zero) = zero,
inference(resolve,[$cnf( $equal(meet(X0,zero),complement(join(complement(X0),top))) )],[refute_0_611,refute_0_625]) ).
cnf(refute_0_627,plain,
meet(X_48,zero) = zero,
inference(subst,[],[refute_0_626:[bind(X0,$fot(X_48))]]) ).
cnf(refute_0_628,plain,
join(X_48,meet(X_48,zero)) = join(X_48,meet(X_48,zero)),
introduced(tautology,[refl,[$fot(join(X_48,meet(X_48,zero)))]]) ).
cnf(refute_0_629,plain,
( join(X_48,meet(X_48,zero)) != join(X_48,meet(X_48,zero))
| meet(X_48,zero) != zero
| join(X_48,meet(X_48,zero)) = join(X_48,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_48,meet(X_48,zero)),join(X_48,meet(X_48,zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_630,plain,
( meet(X_48,zero) != zero
| join(X_48,meet(X_48,zero)) = join(X_48,zero) ),
inference(resolve,[$cnf( $equal(join(X_48,meet(X_48,zero)),join(X_48,meet(X_48,zero))) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
join(X_48,meet(X_48,zero)) = join(X_48,zero),
inference(resolve,[$cnf( $equal(meet(X_48,zero),zero) )],[refute_0_627,refute_0_630]) ).
cnf(refute_0_632,plain,
join(meet(X_49,top),zero) = join(zero,meet(X_49,top)),
inference(subst,[],[refute_0_15:[bind(X0,$fot(zero)),bind(X1,$fot(meet(X_49,top)))]]) ).
cnf(refute_0_633,plain,
meet(zero,X_49) = zero,
inference(subst,[],[refute_0_301:[bind(X1,$fot(X_49))]]) ).
cnf(refute_0_634,plain,
join(meet(X_49,top),meet(zero,X_49)) = join(meet(X_49,top),meet(zero,X_49)),
introduced(tautology,[refl,[$fot(join(meet(X_49,top),meet(zero,X_49)))]]) ).
cnf(refute_0_635,plain,
( join(meet(X_49,top),meet(zero,X_49)) != join(meet(X_49,top),meet(zero,X_49))
| meet(zero,X_49) != zero
| join(meet(X_49,top),meet(zero,X_49)) = join(meet(X_49,top),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_49,top),meet(zero,X_49)),join(meet(X_49,top),meet(zero,X_49))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_636,plain,
( meet(zero,X_49) != zero
| join(meet(X_49,top),meet(zero,X_49)) = join(meet(X_49,top),zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_49,top),meet(zero,X_49)),join(meet(X_49,top),meet(zero,X_49))) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
join(meet(X_49,top),meet(zero,X_49)) = join(meet(X_49,top),zero),
inference(resolve,[$cnf( $equal(meet(zero,X_49),zero) )],[refute_0_633,refute_0_636]) ).
cnf(refute_0_638,plain,
( join(meet(X_49,top),meet(zero,X_49)) != join(meet(X_49,top),zero)
| join(meet(X_49,top),zero) != join(zero,meet(X_49,top))
| join(meet(X_49,top),meet(zero,X_49)) = join(zero,meet(X_49,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_49,top),meet(zero,X_49)))),bind(Y,$fot(join(meet(X_49,top),zero))),bind(Z,$fot(join(zero,meet(X_49,top))))]]) ).
cnf(refute_0_639,plain,
( join(meet(X_49,top),zero) != join(zero,meet(X_49,top))
| join(meet(X_49,top),meet(zero,X_49)) = join(zero,meet(X_49,top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_49,top),meet(zero,X_49)),join(meet(X_49,top),zero)) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
join(meet(X_49,top),meet(zero,X_49)) = join(zero,meet(X_49,top)),
inference(resolve,[$cnf( $equal(join(meet(X_49,top),zero),join(zero,meet(X_49,top))) )],[refute_0_632,refute_0_639]) ).
cnf(refute_0_641,plain,
( X_49 != join(meet(X_49,top),meet(zero,X_49))
| join(meet(X_49,top),meet(zero,X_49)) != join(zero,meet(X_49,top))
| X_49 = join(zero,meet(X_49,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_49,join(zero,meet(X_49,top))) ),[0],$fot(join(meet(X_49,top),meet(zero,X_49)))]]) ).
cnf(refute_0_642,plain,
( X_49 != join(meet(X_49,top),meet(zero,X_49))
| X_49 = join(zero,meet(X_49,top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_49,top),meet(zero,X_49)),join(zero,meet(X_49,top))) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
X_49 = join(zero,meet(X_49,top)),
inference(resolve,[$cnf( $equal(X_49,join(meet(X_49,top),meet(zero,X_49))) )],[refute_0_207,refute_0_642]) ).
cnf(refute_0_644,plain,
join(zero,meet(X_49,top)) = meet(X_49,top),
inference(subst,[],[refute_0_565:[bind(X_39,$fot(meet(X_49,top)))]]) ).
cnf(refute_0_645,plain,
( X_49 != join(zero,meet(X_49,top))
| join(zero,meet(X_49,top)) != meet(X_49,top)
| X_49 = meet(X_49,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_49,meet(X_49,top)) ),[0],$fot(join(zero,meet(X_49,top)))]]) ).
cnf(refute_0_646,plain,
( X_49 != join(zero,meet(X_49,top))
| X_49 = meet(X_49,top) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_49,top)),meet(X_49,top)) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
X_49 = meet(X_49,top),
inference(resolve,[$cnf( $equal(X_49,join(zero,meet(X_49,top))) )],[refute_0_643,refute_0_646]) ).
cnf(refute_0_648,plain,
( X_49 != meet(X_49,top)
| meet(X_49,top) = X_49 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_49)),bind(Y,$fot(meet(X_49,top)))]]) ).
cnf(refute_0_649,plain,
meet(X_49,top) = X_49,
inference(resolve,[$cnf( $equal(X_49,meet(X_49,top)) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
meet(X_48,top) = X_48,
inference(subst,[],[refute_0_649:[bind(X_49,$fot(X_48))]]) ).
cnf(refute_0_651,plain,
join(meet(X_48,top),meet(X_48,zero)) = join(meet(X_48,top),meet(X_48,zero)),
introduced(tautology,[refl,[$fot(join(meet(X_48,top),meet(X_48,zero)))]]) ).
cnf(refute_0_652,plain,
( join(meet(X_48,top),meet(X_48,zero)) != join(meet(X_48,top),meet(X_48,zero))
| meet(X_48,top) != X_48
| join(meet(X_48,top),meet(X_48,zero)) = join(X_48,meet(X_48,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_48,top),meet(X_48,zero)),join(meet(X_48,top),meet(X_48,zero))) ),[1,0],$fot(X_48)]]) ).
cnf(refute_0_653,plain,
( meet(X_48,top) != X_48
| join(meet(X_48,top),meet(X_48,zero)) = join(X_48,meet(X_48,zero)) ),
inference(resolve,[$cnf( $equal(join(meet(X_48,top),meet(X_48,zero)),join(meet(X_48,top),meet(X_48,zero))) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
join(meet(X_48,top),meet(X_48,zero)) = join(X_48,meet(X_48,zero)),
inference(resolve,[$cnf( $equal(meet(X_48,top),X_48) )],[refute_0_650,refute_0_653]) ).
cnf(refute_0_655,plain,
( join(X_48,meet(X_48,zero)) != join(X_48,zero)
| join(meet(X_48,top),meet(X_48,zero)) != join(X_48,meet(X_48,zero))
| join(meet(X_48,top),meet(X_48,zero)) = join(X_48,zero) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_48,top),meet(X_48,zero)))),bind(Y,$fot(join(X_48,meet(X_48,zero)))),bind(Z,$fot(join(X_48,zero)))]]) ).
cnf(refute_0_656,plain,
( join(X_48,meet(X_48,zero)) != join(X_48,zero)
| join(meet(X_48,top),meet(X_48,zero)) = join(X_48,zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_48,top),meet(X_48,zero)),join(X_48,meet(X_48,zero))) )],[refute_0_654,refute_0_655]) ).
cnf(refute_0_657,plain,
join(meet(X_48,top),meet(X_48,zero)) = join(X_48,zero),
inference(resolve,[$cnf( $equal(join(X_48,meet(X_48,zero)),join(X_48,zero)) )],[refute_0_631,refute_0_656]) ).
cnf(refute_0_658,plain,
( X_48 != join(meet(X_48,top),meet(X_48,zero))
| join(meet(X_48,top),meet(X_48,zero)) != join(X_48,zero)
| X_48 = join(X_48,zero) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_48,join(X_48,zero)) ),[0],$fot(join(meet(X_48,top),meet(X_48,zero)))]]) ).
cnf(refute_0_659,plain,
( X_48 != join(meet(X_48,top),meet(X_48,zero))
| X_48 = join(X_48,zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_48,top),meet(X_48,zero)),join(X_48,zero)) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
X_48 = join(X_48,zero),
inference(resolve,[$cnf( $equal(X_48,join(meet(X_48,top),meet(X_48,zero))) )],[refute_0_157,refute_0_659]) ).
cnf(refute_0_661,plain,
( X_48 != join(X_48,zero)
| join(X_48,zero) = X_48 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_48)),bind(Y,$fot(join(X_48,zero)))]]) ).
cnf(refute_0_662,plain,
join(X_48,zero) = X_48,
inference(resolve,[$cnf( $equal(X_48,join(X_48,zero)) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
join(complement(converse(top)),zero) = complement(converse(top)),
inference(subst,[],[refute_0_662:[bind(X_48,$fot(complement(converse(top))))]]) ).
cnf(refute_0_664,plain,
meet(zero,converse(complement(converse(top)))) = zero,
inference(subst,[],[refute_0_301:[bind(X1,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_665,plain,
meet(converse(zero),converse(complement(converse(top)))) = meet(converse(zero),converse(complement(converse(top)))),
introduced(tautology,[refl,[$fot(meet(converse(zero),converse(complement(converse(top)))))]]) ).
cnf(refute_0_666,plain,
( converse(zero) != zero
| meet(converse(zero),converse(complement(converse(top)))) != meet(converse(zero),converse(complement(converse(top))))
| meet(converse(zero),converse(complement(converse(top)))) = meet(zero,converse(complement(converse(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(zero),converse(complement(converse(top)))),meet(converse(zero),converse(complement(converse(top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_667,plain,
( converse(zero) != zero
| meet(converse(zero),converse(complement(converse(top)))) = meet(zero,converse(complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),converse(complement(converse(top)))),meet(converse(zero),converse(complement(converse(top))))) )],[refute_0_665,refute_0_666]) ).
cnf(refute_0_668,plain,
meet(converse(zero),converse(complement(converse(top)))) = meet(zero,converse(complement(converse(top)))),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_605,refute_0_667]) ).
cnf(refute_0_669,plain,
( meet(converse(zero),converse(complement(converse(top)))) != meet(zero,converse(complement(converse(top))))
| meet(zero,converse(complement(converse(top)))) != zero
| meet(converse(zero),converse(complement(converse(top)))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(zero),converse(complement(converse(top)))))),bind(Y,$fot(meet(zero,converse(complement(converse(top)))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_670,plain,
( meet(zero,converse(complement(converse(top)))) != zero
| meet(converse(zero),converse(complement(converse(top)))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(zero),converse(complement(converse(top)))),meet(zero,converse(complement(converse(top))))) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
meet(converse(zero),converse(complement(converse(top)))) = zero,
inference(resolve,[$cnf( $equal(meet(zero,converse(complement(converse(top)))),zero) )],[refute_0_664,refute_0_670]) ).
cnf(refute_0_672,plain,
join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))) = join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))))]]) ).
cnf(refute_0_673,plain,
( join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))) != join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top)))))
| meet(converse(zero),converse(complement(converse(top)))) != zero
| join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))) = join(complement(converse(top)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))),join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_674,plain,
( meet(converse(zero),converse(complement(converse(top)))) != zero
| join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))) = join(complement(converse(top)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))),join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top)))))) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))) = join(complement(converse(top)),zero),
inference(resolve,[$cnf( $equal(meet(converse(zero),converse(complement(converse(top)))),zero) )],[refute_0_671,refute_0_674]) ).
cnf(refute_0_676,plain,
( join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))) != join(complement(converse(top)),zero)
| join(complement(converse(top)),zero) != complement(converse(top))
| join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))) = complement(converse(top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))))),bind(Y,$fot(join(complement(converse(top)),zero))),bind(Z,$fot(complement(converse(top))))]]) ).
cnf(refute_0_677,plain,
( join(complement(converse(top)),zero) != complement(converse(top))
| join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))),join(complement(converse(top)),zero)) )],[refute_0_675,refute_0_676]) ).
cnf(refute_0_678,plain,
join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))) = complement(converse(top)),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),zero),complement(converse(top))) )],[refute_0_663,refute_0_677]) ).
cnf(refute_0_679,plain,
( join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))) != complement(converse(top))
| zero != join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top)))))
| zero = complement(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top)))))) ),[1],$fot(complement(converse(top)))]]) ).
cnf(refute_0_680,plain,
( zero != join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top)))))
| zero = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top))))),complement(converse(top))) )],[refute_0_678,refute_0_679]) ).
cnf(refute_0_681,plain,
( converse(zero) != join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top)))))
| zero = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(zero,join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top)))))) )],[refute_0_607,refute_0_680]) ).
cnf(refute_0_682,plain,
zero = complement(converse(top)),
inference(resolve,[$cnf( $equal(converse(zero),join(complement(converse(top)),meet(converse(zero),converse(complement(converse(top)))))) )],[refute_0_501,refute_0_681]) ).
cnf(refute_0_683,plain,
( zero != complement(converse(top))
| complement(converse(top)) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(complement(converse(top))))]]) ).
cnf(refute_0_684,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(zero,complement(converse(top))) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
( complement(converse(top)) != zero
| top != join(complement(converse(top)),join(complement(X_11),meet(converse(top),X_11)))
| top = join(zero,join(complement(X_11),meet(converse(top),X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(top)),join(complement(X_11),meet(converse(top),X_11)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_686,plain,
( top != join(complement(converse(top)),join(complement(X_11),meet(converse(top),X_11)))
| top = join(zero,join(complement(X_11),meet(converse(top),X_11))) ),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
top = join(zero,join(complement(X_11),meet(converse(top),X_11))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(top)),join(complement(X_11),meet(converse(top),X_11)))) )],[refute_0_450,refute_0_686]) ).
cnf(refute_0_688,plain,
converse(top) = join(meet(converse(top),X1),complement(join(complement(converse(top)),X1))),
inference(subst,[],[refute_0_34:[bind(X0,$fot(converse(top)))]]) ).
cnf(refute_0_689,plain,
( complement(converse(top)) != zero
| converse(top) != join(meet(converse(top),X1),complement(join(complement(converse(top)),X1)))
| converse(top) = join(meet(converse(top),X1),complement(join(zero,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(meet(converse(top),X1),complement(join(complement(converse(top)),X1)))) ),[1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_690,plain,
( converse(top) != join(meet(converse(top),X1),complement(join(complement(converse(top)),X1)))
| converse(top) = join(meet(converse(top),X1),complement(join(zero,X1))) ),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_684,refute_0_689]) ).
cnf(refute_0_691,plain,
converse(top) = join(meet(converse(top),X1),complement(join(zero,X1))),
inference(resolve,[$cnf( $equal(converse(top),join(meet(converse(top),X1),complement(join(complement(converse(top)),X1)))) )],[refute_0_688,refute_0_690]) ).
cnf(refute_0_692,plain,
join(zero,X1) = X1,
inference(subst,[],[refute_0_565:[bind(X_39,$fot(X1))]]) ).
cnf(refute_0_693,plain,
complement(join(zero,X1)) = complement(join(zero,X1)),
introduced(tautology,[refl,[$fot(complement(join(zero,X1)))]]) ).
cnf(refute_0_694,plain,
( complement(join(zero,X1)) != complement(join(zero,X1))
| join(zero,X1) != X1
| complement(join(zero,X1)) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,X1)),complement(join(zero,X1))) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_695,plain,
( join(zero,X1) != X1
| complement(join(zero,X1)) = complement(X1) ),
inference(resolve,[$cnf( $equal(complement(join(zero,X1)),complement(join(zero,X1))) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
complement(join(zero,X1)) = complement(X1),
inference(resolve,[$cnf( $equal(join(zero,X1),X1) )],[refute_0_692,refute_0_695]) ).
cnf(refute_0_697,plain,
join(complement(join(zero,X1)),meet(converse(top),X1)) = join(complement(join(zero,X1)),meet(converse(top),X1)),
introduced(tautology,[refl,[$fot(join(complement(join(zero,X1)),meet(converse(top),X1)))]]) ).
cnf(refute_0_698,plain,
( complement(join(zero,X1)) != complement(X1)
| join(complement(join(zero,X1)),meet(converse(top),X1)) != join(complement(join(zero,X1)),meet(converse(top),X1))
| join(complement(join(zero,X1)),meet(converse(top),X1)) = join(complement(X1),meet(converse(top),X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(zero,X1)),meet(converse(top),X1)),join(complement(join(zero,X1)),meet(converse(top),X1))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_699,plain,
( complement(join(zero,X1)) != complement(X1)
| join(complement(join(zero,X1)),meet(converse(top),X1)) = join(complement(X1),meet(converse(top),X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(zero,X1)),meet(converse(top),X1)),join(complement(join(zero,X1)),meet(converse(top),X1))) )],[refute_0_697,refute_0_698]) ).
cnf(refute_0_700,plain,
join(complement(join(zero,X1)),meet(converse(top),X1)) = join(complement(X1),meet(converse(top),X1)),
inference(resolve,[$cnf( $equal(complement(join(zero,X1)),complement(X1)) )],[refute_0_696,refute_0_699]) ).
cnf(refute_0_701,plain,
join(meet(converse(top),X1),complement(join(zero,X1))) = join(complement(join(zero,X1)),meet(converse(top),X1)),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(join(zero,X1)))),bind(X1,$fot(meet(converse(top),X1)))]]) ).
cnf(refute_0_702,plain,
( join(complement(join(zero,X1)),meet(converse(top),X1)) != join(complement(X1),meet(converse(top),X1))
| join(meet(converse(top),X1),complement(join(zero,X1))) != join(complement(join(zero,X1)),meet(converse(top),X1))
| join(meet(converse(top),X1),complement(join(zero,X1))) = join(complement(X1),meet(converse(top),X1)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(converse(top),X1),complement(join(zero,X1))))),bind(Y,$fot(join(complement(join(zero,X1)),meet(converse(top),X1)))),bind(Z,$fot(join(complement(X1),meet(converse(top),X1))))]]) ).
cnf(refute_0_703,plain,
( join(complement(join(zero,X1)),meet(converse(top),X1)) != join(complement(X1),meet(converse(top),X1))
| join(meet(converse(top),X1),complement(join(zero,X1))) = join(complement(X1),meet(converse(top),X1)) ),
inference(resolve,[$cnf( $equal(join(meet(converse(top),X1),complement(join(zero,X1))),join(complement(join(zero,X1)),meet(converse(top),X1))) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
join(meet(converse(top),X1),complement(join(zero,X1))) = join(complement(X1),meet(converse(top),X1)),
inference(resolve,[$cnf( $equal(join(complement(join(zero,X1)),meet(converse(top),X1)),join(complement(X1),meet(converse(top),X1))) )],[refute_0_700,refute_0_703]) ).
cnf(refute_0_705,plain,
( converse(top) != join(meet(converse(top),X1),complement(join(zero,X1)))
| join(meet(converse(top),X1),complement(join(zero,X1))) != join(complement(X1),meet(converse(top),X1))
| converse(top) = join(complement(X1),meet(converse(top),X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(complement(X1),meet(converse(top),X1))) ),[0],$fot(join(meet(converse(top),X1),complement(join(zero,X1))))]]) ).
cnf(refute_0_706,plain,
( converse(top) != join(meet(converse(top),X1),complement(join(zero,X1)))
| converse(top) = join(complement(X1),meet(converse(top),X1)) ),
inference(resolve,[$cnf( $equal(join(meet(converse(top),X1),complement(join(zero,X1))),join(complement(X1),meet(converse(top),X1))) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
converse(top) = join(complement(X1),meet(converse(top),X1)),
inference(resolve,[$cnf( $equal(converse(top),join(meet(converse(top),X1),complement(join(zero,X1)))) )],[refute_0_691,refute_0_706]) ).
cnf(refute_0_708,plain,
( converse(top) != join(complement(X1),meet(converse(top),X1))
| join(complement(X1),meet(converse(top),X1)) = converse(top) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X1),meet(converse(top),X1))))]]) ).
cnf(refute_0_709,plain,
join(complement(X1),meet(converse(top),X1)) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X1),meet(converse(top),X1))) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
join(complement(X_11),meet(converse(top),X_11)) = converse(top),
inference(subst,[],[refute_0_709:[bind(X1,$fot(X_11))]]) ).
cnf(refute_0_711,plain,
join(zero,join(complement(X_11),meet(converse(top),X_11))) = join(complement(X_11),meet(converse(top),X_11)),
inference(subst,[],[refute_0_565:[bind(X_39,$fot(join(complement(X_11),meet(converse(top),X_11))))]]) ).
cnf(refute_0_712,plain,
( join(complement(X_11),meet(converse(top),X_11)) != converse(top)
| join(zero,join(complement(X_11),meet(converse(top),X_11))) != join(complement(X_11),meet(converse(top),X_11))
| join(zero,join(complement(X_11),meet(converse(top),X_11))) = converse(top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(zero,join(complement(X_11),meet(converse(top),X_11))))),bind(Y,$fot(join(complement(X_11),meet(converse(top),X_11)))),bind(Z,$fot(converse(top)))]]) ).
cnf(refute_0_713,plain,
( join(complement(X_11),meet(converse(top),X_11)) != converse(top)
| join(zero,join(complement(X_11),meet(converse(top),X_11))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_11),meet(converse(top),X_11))),join(complement(X_11),meet(converse(top),X_11))) )],[refute_0_711,refute_0_712]) ).
cnf(refute_0_714,plain,
join(zero,join(complement(X_11),meet(converse(top),X_11))) = converse(top),
inference(resolve,[$cnf( $equal(join(complement(X_11),meet(converse(top),X_11)),converse(top)) )],[refute_0_710,refute_0_713]) ).
cnf(refute_0_715,plain,
( join(zero,join(complement(X_11),meet(converse(top),X_11))) != converse(top)
| top != join(zero,join(complement(X_11),meet(converse(top),X_11)))
| top = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(complement(X_11),meet(converse(top),X_11)))) ),[1],$fot(converse(top))]]) ).
cnf(refute_0_716,plain,
( top != join(zero,join(complement(X_11),meet(converse(top),X_11)))
| top = converse(top) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_11),meet(converse(top),X_11))),converse(top)) )],[refute_0_714,refute_0_715]) ).
cnf(refute_0_717,plain,
top = converse(top),
inference(resolve,[$cnf( $equal(top,join(zero,join(complement(X_11),meet(converse(top),X_11)))) )],[refute_0_687,refute_0_716]) ).
cnf(refute_0_718,plain,
( top != converse(top)
| converse(top) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(converse(top)))]]) ).
cnf(refute_0_719,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(top,converse(top)) )],[refute_0_717,refute_0_718]) ).
cnf(refute_0_720,plain,
( converse(top) != join(X_15,converse(join(X0,complement(join(converse(X_15),X0)))))
| converse(top) != top
| top = join(X_15,converse(join(X0,complement(join(converse(X_15),X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_15,converse(join(X0,complement(join(converse(X_15),X0)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_721,plain,
( converse(top) != join(X_15,converse(join(X0,complement(join(converse(X_15),X0)))))
| top = join(X_15,converse(join(X0,complement(join(converse(X_15),X0))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
top = join(X_15,converse(join(X0,complement(join(converse(X_15),X0))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_15,converse(join(X0,complement(join(converse(X_15),X0)))))) )],[refute_0_449,refute_0_721]) ).
cnf(refute_0_723,plain,
top = join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(join(converse(X_15),composition(top,complement(converse(X_15)))))))),
inference(subst,[],[refute_0_722:[bind(X0,$fot(composition(top,complement(converse(X_15)))))]]) ).
cnf(refute_0_724,plain,
join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)) = join(complement(X_25),join(complement(X_26),meet(X_25,X_26))),
inference(subst,[],[refute_0_13:[bind(X0,$fot(join(complement(X_26),meet(X_25,X_26)))),bind(X1,$fot(complement(X_25)))]]) ).
cnf(refute_0_725,plain,
top = join(complement(X_25),join(complement(X_26),meet(X_25,X_26))),
inference(subst,[],[refute_0_266:[bind(X_10,$fot(X_25)),bind(X_11,$fot(X_26))]]) ).
cnf(refute_0_726,plain,
( top != join(complement(X_25),join(complement(X_26),meet(X_25,X_26)))
| join(complement(X_25),join(complement(X_26),meet(X_25,X_26))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_25),join(complement(X_26),meet(X_25,X_26)))))]]) ).
cnf(refute_0_727,plain,
join(complement(X_25),join(complement(X_26),meet(X_25,X_26))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_25),join(complement(X_26),meet(X_25,X_26)))) )],[refute_0_725,refute_0_726]) ).
cnf(refute_0_728,plain,
( join(complement(X_25),join(complement(X_26),meet(X_25,X_26))) != top
| join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)) != join(complement(X_25),join(complement(X_26),meet(X_25,X_26)))
| join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)),join(complement(X_25),join(complement(X_26),meet(X_25,X_26)))) ),[1],$fot(top)]]) ).
cnf(refute_0_729,plain,
( join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)) != join(complement(X_25),join(complement(X_26),meet(X_25,X_26)))
| join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_25),join(complement(X_26),meet(X_25,X_26))),top) )],[refute_0_727,refute_0_728]) ).
cnf(refute_0_730,plain,
join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)),join(complement(X_25),join(complement(X_26),meet(X_25,X_26)))) )],[refute_0_724,refute_0_729]) ).
cnf(refute_0_731,plain,
join(meet(X_25,X_26),complement(X_25)) = join(complement(X_25),meet(X_25,X_26)),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(X_25))),bind(X1,$fot(meet(X_25,X_26)))]]) ).
cnf(refute_0_732,plain,
join(complement(X_26),join(meet(X_25,X_26),complement(X_25))) = join(complement(X_26),join(meet(X_25,X_26),complement(X_25))),
introduced(tautology,[refl,[$fot(join(complement(X_26),join(meet(X_25,X_26),complement(X_25))))]]) ).
cnf(refute_0_733,plain,
( join(complement(X_26),join(meet(X_25,X_26),complement(X_25))) != join(complement(X_26),join(meet(X_25,X_26),complement(X_25)))
| join(meet(X_25,X_26),complement(X_25)) != join(complement(X_25),meet(X_25,X_26))
| join(complement(X_26),join(meet(X_25,X_26),complement(X_25))) = join(complement(X_26),join(complement(X_25),meet(X_25,X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_26),join(meet(X_25,X_26),complement(X_25))),join(complement(X_26),join(meet(X_25,X_26),complement(X_25)))) ),[1,1],$fot(join(complement(X_25),meet(X_25,X_26)))]]) ).
cnf(refute_0_734,plain,
( join(meet(X_25,X_26),complement(X_25)) != join(complement(X_25),meet(X_25,X_26))
| join(complement(X_26),join(meet(X_25,X_26),complement(X_25))) = join(complement(X_26),join(complement(X_25),meet(X_25,X_26))) ),
inference(resolve,[$cnf( $equal(join(complement(X_26),join(meet(X_25,X_26),complement(X_25))),join(complement(X_26),join(meet(X_25,X_26),complement(X_25)))) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
join(complement(X_26),join(meet(X_25,X_26),complement(X_25))) = join(complement(X_26),join(complement(X_25),meet(X_25,X_26))),
inference(resolve,[$cnf( $equal(join(meet(X_25,X_26),complement(X_25)),join(complement(X_25),meet(X_25,X_26))) )],[refute_0_731,refute_0_734]) ).
cnf(refute_0_736,plain,
join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)) = join(complement(X_26),join(meet(X_25,X_26),complement(X_25))),
inference(subst,[],[refute_0_262:[bind(X0,$fot(complement(X_26))),bind(X1,$fot(meet(X_25,X_26))),bind(X2,$fot(complement(X_25)))]]) ).
cnf(refute_0_737,plain,
( join(complement(X_26),join(meet(X_25,X_26),complement(X_25))) != join(complement(X_26),join(complement(X_25),meet(X_25,X_26)))
| join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)) != join(complement(X_26),join(meet(X_25,X_26),complement(X_25)))
| join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)) = join(complement(X_26),join(complement(X_25),meet(X_25,X_26))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)))),bind(Y,$fot(join(complement(X_26),join(meet(X_25,X_26),complement(X_25))))),bind(Z,$fot(join(complement(X_26),join(complement(X_25),meet(X_25,X_26)))))]]) ).
cnf(refute_0_738,plain,
( join(complement(X_26),join(meet(X_25,X_26),complement(X_25))) != join(complement(X_26),join(complement(X_25),meet(X_25,X_26)))
| join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)) = join(complement(X_26),join(complement(X_25),meet(X_25,X_26))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)),join(complement(X_26),join(meet(X_25,X_26),complement(X_25)))) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)) = join(complement(X_26),join(complement(X_25),meet(X_25,X_26))),
inference(resolve,[$cnf( $equal(join(complement(X_26),join(meet(X_25,X_26),complement(X_25))),join(complement(X_26),join(complement(X_25),meet(X_25,X_26)))) )],[refute_0_735,refute_0_738]) ).
cnf(refute_0_740,plain,
( join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)) != join(complement(X_26),join(complement(X_25),meet(X_25,X_26)))
| join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)) != top
| join(complement(X_26),join(complement(X_25),meet(X_25,X_26))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)),top) ),[0],$fot(join(complement(X_26),join(complement(X_25),meet(X_25,X_26))))]]) ).
cnf(refute_0_741,plain,
( join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)) != top
| join(complement(X_26),join(complement(X_25),meet(X_25,X_26))) = top ),
inference(resolve,[$cnf( $equal(join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)),join(complement(X_26),join(complement(X_25),meet(X_25,X_26)))) )],[refute_0_739,refute_0_740]) ).
cnf(refute_0_742,plain,
join(complement(X_26),join(complement(X_25),meet(X_25,X_26))) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_26),meet(X_25,X_26)),complement(X_25)),top) )],[refute_0_730,refute_0_741]) ).
cnf(refute_0_743,plain,
join(complement(X_104),join(complement(complement(X_39)),meet(complement(X_39),X_104))) = top,
inference(subst,[],[refute_0_742:[bind(X_25,$fot(complement(X_39))),bind(X_26,$fot(X_104))]]) ).
cnf(refute_0_744,plain,
( complement(complement(X_39)) != X_39
| join(complement(X_104),join(complement(complement(X_39)),meet(complement(X_39),X_104))) != top
| join(complement(X_104),join(X_39,meet(complement(X_39),X_104))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_104),join(complement(complement(X_39)),meet(complement(X_39),X_104))),top) ),[0,1,0],$fot(X_39)]]) ).
cnf(refute_0_745,plain,
( join(complement(X_104),join(complement(complement(X_39)),meet(complement(X_39),X_104))) != top
| join(complement(X_104),join(X_39,meet(complement(X_39),X_104))) = top ),
inference(resolve,[$cnf( $equal(complement(complement(X_39)),X_39) )],[refute_0_340,refute_0_744]) ).
cnf(refute_0_746,plain,
join(complement(X_104),join(X_39,meet(complement(X_39),X_104))) = top,
inference(resolve,[$cnf( $equal(join(complement(X_104),join(complement(complement(X_39)),meet(complement(X_39),X_104))),top) )],[refute_0_743,refute_0_745]) ).
cnf(refute_0_747,plain,
join(complement(complement(composition(top,complement(X_39)))),join(X_39,meet(complement(X_39),complement(composition(top,complement(X_39)))))) = top,
inference(subst,[],[refute_0_746:[bind(X_104,$fot(complement(composition(top,complement(X_39)))))]]) ).
cnf(refute_0_748,plain,
meet(complement(X_137),meet(X_194,X_137)) = complement(join(X_137,complement(meet(X_194,X_137)))),
inference(subst,[],[refute_0_372:[bind(X_135,$fot(meet(X_194,X_137)))]]) ).
cnf(refute_0_749,plain,
join(complement(complement(X_39)),join(complement(X_103),meet(X_103,complement(X_39)))) = top,
inference(subst,[],[refute_0_742:[bind(X_25,$fot(X_103)),bind(X_26,$fot(complement(X_39)))]]) ).
cnf(refute_0_750,plain,
( complement(complement(X_39)) != X_39
| join(complement(complement(X_39)),join(complement(X_103),meet(X_103,complement(X_39)))) != top
| join(X_39,join(complement(X_103),meet(X_103,complement(X_39)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_39)),join(complement(X_103),meet(X_103,complement(X_39)))),top) ),[0,0],$fot(X_39)]]) ).
cnf(refute_0_751,plain,
( join(complement(complement(X_39)),join(complement(X_103),meet(X_103,complement(X_39)))) != top
| join(X_39,join(complement(X_103),meet(X_103,complement(X_39)))) = top ),
inference(resolve,[$cnf( $equal(complement(complement(X_39)),X_39) )],[refute_0_340,refute_0_750]) ).
cnf(refute_0_752,plain,
join(X_39,join(complement(X_103),meet(X_103,complement(X_39)))) = top,
inference(resolve,[$cnf( $equal(join(complement(complement(X_39)),join(complement(X_103),meet(X_103,complement(X_39)))),top) )],[refute_0_749,refute_0_751]) ).
cnf(refute_0_753,plain,
join(complement(X_103),complement(X_39)) = complement(meet(X_103,X_39)),
inference(subst,[],[refute_0_318:[bind(X0,$fot(X_103)),bind(X1,$fot(X_39))]]) ).
cnf(refute_0_754,plain,
X_48 = join(meet(X_48,X_47),meet(X_48,complement(X_47))),
inference(subst,[],[refute_0_132:[bind(X1,$fot(X_47)),bind(X_39,$fot(X_48))]]) ).
cnf(refute_0_755,plain,
meet(complement(X_47),X_48) = meet(X_48,complement(X_47)),
inference(subst,[],[refute_0_168:[bind(X_10,$fot(complement(X_47))),bind(X_11,$fot(X_48))]]) ).
cnf(refute_0_756,plain,
( meet(complement(X_47),X_48) != meet(X_48,complement(X_47))
| meet(X_48,complement(X_47)) = meet(complement(X_47),X_48) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(complement(X_47),X_48))),bind(Y,$fot(meet(X_48,complement(X_47))))]]) ).
cnf(refute_0_757,plain,
meet(X_48,complement(X_47)) = meet(complement(X_47),X_48),
inference(resolve,[$cnf( $equal(meet(complement(X_47),X_48),meet(X_48,complement(X_47))) )],[refute_0_755,refute_0_756]) ).
cnf(refute_0_758,plain,
( X_48 != join(meet(X_48,X_47),meet(X_48,complement(X_47)))
| meet(X_48,complement(X_47)) != meet(complement(X_47),X_48)
| X_48 = join(meet(X_48,X_47),meet(complement(X_47),X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(X_48,join(meet(X_48,X_47),meet(X_48,complement(X_47)))) ),[1,1],$fot(meet(complement(X_47),X_48))]]) ).
cnf(refute_0_759,plain,
( X_48 != join(meet(X_48,X_47),meet(X_48,complement(X_47)))
| X_48 = join(meet(X_48,X_47),meet(complement(X_47),X_48)) ),
inference(resolve,[$cnf( $equal(meet(X_48,complement(X_47)),meet(complement(X_47),X_48)) )],[refute_0_757,refute_0_758]) ).
cnf(refute_0_760,plain,
X_48 = join(meet(X_48,X_47),meet(complement(X_47),X_48)),
inference(resolve,[$cnf( $equal(X_48,join(meet(X_48,X_47),meet(X_48,complement(X_47)))) )],[refute_0_754,refute_0_759]) ).
cnf(refute_0_761,plain,
X_73 = join(meet(X_73,X_72),meet(complement(X_72),X_73)),
inference(subst,[],[refute_0_760:[bind(X_47,$fot(X_72)),bind(X_48,$fot(X_73))]]) ).
cnf(refute_0_762,plain,
meet(X_72,X_73) = meet(X_73,X_72),
inference(subst,[],[refute_0_168:[bind(X_10,$fot(X_72)),bind(X_11,$fot(X_73))]]) ).
cnf(refute_0_763,plain,
( meet(X_72,X_73) != meet(X_73,X_72)
| meet(X_73,X_72) = meet(X_72,X_73) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_72,X_73))),bind(Y,$fot(meet(X_73,X_72)))]]) ).
cnf(refute_0_764,plain,
meet(X_73,X_72) = meet(X_72,X_73),
inference(resolve,[$cnf( $equal(meet(X_72,X_73),meet(X_73,X_72)) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
( X_73 != join(meet(X_73,X_72),meet(complement(X_72),X_73))
| meet(X_73,X_72) != meet(X_72,X_73)
| X_73 = join(meet(X_72,X_73),meet(complement(X_72),X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(X_73,join(meet(X_73,X_72),meet(complement(X_72),X_73))) ),[1,0],$fot(meet(X_72,X_73))]]) ).
cnf(refute_0_766,plain,
( X_73 != join(meet(X_73,X_72),meet(complement(X_72),X_73))
| X_73 = join(meet(X_72,X_73),meet(complement(X_72),X_73)) ),
inference(resolve,[$cnf( $equal(meet(X_73,X_72),meet(X_72,X_73)) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
X_73 = join(meet(X_72,X_73),meet(complement(X_72),X_73)),
inference(resolve,[$cnf( $equal(X_73,join(meet(X_73,X_72),meet(complement(X_72),X_73))) )],[refute_0_761,refute_0_766]) ).
cnf(refute_0_768,plain,
join(complement(X_72),X_117) = join(meet(X_72,join(complement(X_72),X_117)),meet(complement(X_72),join(complement(X_72),X_117))),
inference(subst,[],[refute_0_767:[bind(X_73,$fot(join(complement(X_72),X_117)))]]) ).
cnf(refute_0_769,plain,
X_39 = join(meet(X_39,X_40),complement(join(complement(X_39),X_40))),
inference(subst,[],[refute_0_34:[bind(X0,$fot(X_39)),bind(X1,$fot(X_40))]]) ).
cnf(refute_0_770,plain,
meet(X_40,X_39) = meet(X_39,X_40),
inference(subst,[],[refute_0_168:[bind(X_10,$fot(X_40)),bind(X_11,$fot(X_39))]]) ).
cnf(refute_0_771,plain,
( meet(X_40,X_39) != meet(X_39,X_40)
| meet(X_39,X_40) = meet(X_40,X_39) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_40,X_39))),bind(Y,$fot(meet(X_39,X_40)))]]) ).
cnf(refute_0_772,plain,
meet(X_39,X_40) = meet(X_40,X_39),
inference(resolve,[$cnf( $equal(meet(X_40,X_39),meet(X_39,X_40)) )],[refute_0_770,refute_0_771]) ).
cnf(refute_0_773,plain,
( X_39 != join(meet(X_39,X_40),complement(join(complement(X_39),X_40)))
| meet(X_39,X_40) != meet(X_40,X_39)
| X_39 = join(meet(X_40,X_39),complement(join(complement(X_39),X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(X_39,join(meet(X_39,X_40),complement(join(complement(X_39),X_40)))) ),[1,0],$fot(meet(X_40,X_39))]]) ).
cnf(refute_0_774,plain,
( X_39 != join(meet(X_39,X_40),complement(join(complement(X_39),X_40)))
| X_39 = join(meet(X_40,X_39),complement(join(complement(X_39),X_40))) ),
inference(resolve,[$cnf( $equal(meet(X_39,X_40),meet(X_40,X_39)) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
X_39 = join(meet(X_40,X_39),complement(join(complement(X_39),X_40))),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,X_40),complement(join(complement(X_39),X_40)))) )],[refute_0_769,refute_0_774]) ).
cnf(refute_0_776,plain,
X_39 = join(meet(join(complement(complement(X_39)),X_94),X_39),complement(join(complement(X_39),join(complement(complement(X_39)),X_94)))),
inference(subst,[],[refute_0_775:[bind(X_40,$fot(join(complement(complement(X_39)),X_94)))]]) ).
cnf(refute_0_777,plain,
join(X_80,join(complement(X_80),X_82)) = join(join(X_80,complement(X_80)),X_82),
inference(subst,[],[refute_0_260:[bind(X0,$fot(X_80)),bind(X1,$fot(complement(X_80))),bind(X2,$fot(X_82))]]) ).
cnf(refute_0_778,plain,
top = join(X_80,complement(X_80)),
inference(subst,[],[refute_0_138:[bind(X0,$fot(X_80))]]) ).
cnf(refute_0_779,plain,
( top != join(X_80,complement(X_80))
| join(X_80,complement(X_80)) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(X_80,complement(X_80))))]]) ).
cnf(refute_0_780,plain,
join(X_80,complement(X_80)) = top,
inference(resolve,[$cnf( $equal(top,join(X_80,complement(X_80))) )],[refute_0_778,refute_0_779]) ).
cnf(refute_0_781,plain,
( join(X_80,complement(X_80)) != top
| join(X_80,join(complement(X_80),X_82)) != join(join(X_80,complement(X_80)),X_82)
| join(X_80,join(complement(X_80),X_82)) = join(top,X_82) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_80,join(complement(X_80),X_82)),join(join(X_80,complement(X_80)),X_82)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_782,plain,
( join(X_80,join(complement(X_80),X_82)) != join(join(X_80,complement(X_80)),X_82)
| join(X_80,join(complement(X_80),X_82)) = join(top,X_82) ),
inference(resolve,[$cnf( $equal(join(X_80,complement(X_80)),top) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
join(X_80,join(complement(X_80),X_82)) = join(top,X_82),
inference(resolve,[$cnf( $equal(join(X_80,join(complement(X_80),X_82)),join(join(X_80,complement(X_80)),X_82)) )],[refute_0_777,refute_0_782]) ).
cnf(refute_0_784,plain,
join(top,X1) = join(X1,top),
inference(subst,[],[refute_0_13:[bind(X0,$fot(top))]]) ).
cnf(refute_0_785,plain,
top = join(join(X_62,X_62),complement(join(X_62,X_62))),
inference(subst,[],[refute_0_138:[bind(X0,$fot(join(X_62,X_62)))]]) ).
cnf(refute_0_786,plain,
complement(X_61) = join(meet(X_61,complement(X_61)),complement(join(complement(complement(X_61)),X_61))),
inference(subst,[],[refute_0_775:[bind(X_39,$fot(complement(X_61))),bind(X_40,$fot(X_61))]]) ).
cnf(refute_0_787,plain,
zero = meet(X_61,complement(X_61)),
inference(subst,[],[refute_0_100:[bind(X0,$fot(X_61))]]) ).
cnf(refute_0_788,plain,
( zero != meet(X_61,complement(X_61))
| meet(X_61,complement(X_61)) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_61,complement(X_61))))]]) ).
cnf(refute_0_789,plain,
meet(X_61,complement(X_61)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_61,complement(X_61))) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
( complement(X_61) != join(meet(X_61,complement(X_61)),complement(join(complement(complement(X_61)),X_61)))
| meet(X_61,complement(X_61)) != zero
| complement(X_61) = join(zero,complement(join(complement(complement(X_61)),X_61))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_61),join(meet(X_61,complement(X_61)),complement(join(complement(complement(X_61)),X_61)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_791,plain,
( complement(X_61) != join(meet(X_61,complement(X_61)),complement(join(complement(complement(X_61)),X_61)))
| complement(X_61) = join(zero,complement(join(complement(complement(X_61)),X_61))) ),
inference(resolve,[$cnf( $equal(meet(X_61,complement(X_61)),zero) )],[refute_0_789,refute_0_790]) ).
cnf(refute_0_792,plain,
complement(X_61) = join(zero,complement(join(complement(complement(X_61)),X_61))),
inference(resolve,[$cnf( $equal(complement(X_61),join(meet(X_61,complement(X_61)),complement(join(complement(complement(X_61)),X_61)))) )],[refute_0_786,refute_0_791]) ).
cnf(refute_0_793,plain,
complement(complement(X_61)) = X_61,
inference(subst,[],[refute_0_340:[bind(X_39,$fot(X_61))]]) ).
cnf(refute_0_794,plain,
join(X_61,complement(complement(X_61))) = join(X_61,complement(complement(X_61))),
introduced(tautology,[refl,[$fot(join(X_61,complement(complement(X_61))))]]) ).
cnf(refute_0_795,plain,
( complement(complement(X_61)) != X_61
| join(X_61,complement(complement(X_61))) != join(X_61,complement(complement(X_61)))
| join(X_61,complement(complement(X_61))) = join(X_61,X_61) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_61,complement(complement(X_61))),join(X_61,complement(complement(X_61)))) ),[1,1],$fot(X_61)]]) ).
cnf(refute_0_796,plain,
( complement(complement(X_61)) != X_61
| join(X_61,complement(complement(X_61))) = join(X_61,X_61) ),
inference(resolve,[$cnf( $equal(join(X_61,complement(complement(X_61))),join(X_61,complement(complement(X_61)))) )],[refute_0_794,refute_0_795]) ).
cnf(refute_0_797,plain,
join(X_61,complement(complement(X_61))) = join(X_61,X_61),
inference(resolve,[$cnf( $equal(complement(complement(X_61)),X_61) )],[refute_0_793,refute_0_796]) ).
cnf(refute_0_798,plain,
join(complement(complement(X_61)),X_61) = join(X_61,complement(complement(X_61))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(X_61)),bind(X1,$fot(complement(complement(X_61))))]]) ).
cnf(refute_0_799,plain,
( join(X_61,complement(complement(X_61))) != join(X_61,X_61)
| join(complement(complement(X_61)),X_61) != join(X_61,complement(complement(X_61)))
| join(complement(complement(X_61)),X_61) = join(X_61,X_61) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(X_61)),X_61))),bind(Y,$fot(join(X_61,complement(complement(X_61))))),bind(Z,$fot(join(X_61,X_61)))]]) ).
cnf(refute_0_800,plain,
( join(X_61,complement(complement(X_61))) != join(X_61,X_61)
| join(complement(complement(X_61)),X_61) = join(X_61,X_61) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_61)),X_61),join(X_61,complement(complement(X_61)))) )],[refute_0_798,refute_0_799]) ).
cnf(refute_0_801,plain,
join(complement(complement(X_61)),X_61) = join(X_61,X_61),
inference(resolve,[$cnf( $equal(join(X_61,complement(complement(X_61))),join(X_61,X_61)) )],[refute_0_797,refute_0_800]) ).
cnf(refute_0_802,plain,
complement(join(complement(complement(X_61)),X_61)) = complement(join(complement(complement(X_61)),X_61)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(X_61)),X_61)))]]) ).
cnf(refute_0_803,plain,
( complement(join(complement(complement(X_61)),X_61)) != complement(join(complement(complement(X_61)),X_61))
| join(complement(complement(X_61)),X_61) != join(X_61,X_61)
| complement(join(complement(complement(X_61)),X_61)) = complement(join(X_61,X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(X_61)),X_61)),complement(join(complement(complement(X_61)),X_61))) ),[1,0],$fot(join(X_61,X_61))]]) ).
cnf(refute_0_804,plain,
( join(complement(complement(X_61)),X_61) != join(X_61,X_61)
| complement(join(complement(complement(X_61)),X_61)) = complement(join(X_61,X_61)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_61)),X_61)),complement(join(complement(complement(X_61)),X_61))) )],[refute_0_802,refute_0_803]) ).
cnf(refute_0_805,plain,
complement(join(complement(complement(X_61)),X_61)) = complement(join(X_61,X_61)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_61)),X_61),join(X_61,X_61)) )],[refute_0_801,refute_0_804]) ).
cnf(refute_0_806,plain,
join(zero,complement(join(complement(complement(X_61)),X_61))) = complement(join(complement(complement(X_61)),X_61)),
inference(subst,[],[refute_0_565:[bind(X_39,$fot(complement(join(complement(complement(X_61)),X_61))))]]) ).
cnf(refute_0_807,plain,
( complement(join(complement(complement(X_61)),X_61)) != complement(join(X_61,X_61))
| join(zero,complement(join(complement(complement(X_61)),X_61))) != complement(join(complement(complement(X_61)),X_61))
| join(zero,complement(join(complement(complement(X_61)),X_61))) = complement(join(X_61,X_61)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(zero,complement(join(complement(complement(X_61)),X_61))))),bind(Y,$fot(complement(join(complement(complement(X_61)),X_61)))),bind(Z,$fot(complement(join(X_61,X_61))))]]) ).
cnf(refute_0_808,plain,
( complement(join(complement(complement(X_61)),X_61)) != complement(join(X_61,X_61))
| join(zero,complement(join(complement(complement(X_61)),X_61))) = complement(join(X_61,X_61)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_61)),X_61))),complement(join(complement(complement(X_61)),X_61))) )],[refute_0_806,refute_0_807]) ).
cnf(refute_0_809,plain,
join(zero,complement(join(complement(complement(X_61)),X_61))) = complement(join(X_61,X_61)),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_61)),X_61)),complement(join(X_61,X_61))) )],[refute_0_805,refute_0_808]) ).
cnf(refute_0_810,plain,
( complement(X_61) != join(zero,complement(join(complement(complement(X_61)),X_61)))
| join(zero,complement(join(complement(complement(X_61)),X_61))) != complement(join(X_61,X_61))
| complement(X_61) = complement(join(X_61,X_61)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_61),complement(join(X_61,X_61))) ),[0],$fot(join(zero,complement(join(complement(complement(X_61)),X_61))))]]) ).
cnf(refute_0_811,plain,
( complement(X_61) != join(zero,complement(join(complement(complement(X_61)),X_61)))
| complement(X_61) = complement(join(X_61,X_61)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_61)),X_61))),complement(join(X_61,X_61))) )],[refute_0_809,refute_0_810]) ).
cnf(refute_0_812,plain,
complement(X_61) = complement(join(X_61,X_61)),
inference(resolve,[$cnf( $equal(complement(X_61),join(zero,complement(join(complement(complement(X_61)),X_61)))) )],[refute_0_792,refute_0_811]) ).
cnf(refute_0_813,plain,
complement(X_62) = complement(join(X_62,X_62)),
inference(subst,[],[refute_0_812:[bind(X_61,$fot(X_62))]]) ).
cnf(refute_0_814,plain,
( complement(X_62) != complement(join(X_62,X_62))
| complement(join(X_62,X_62)) = complement(X_62) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(X_62))),bind(Y,$fot(complement(join(X_62,X_62))))]]) ).
cnf(refute_0_815,plain,
complement(join(X_62,X_62)) = complement(X_62),
inference(resolve,[$cnf( $equal(complement(X_62),complement(join(X_62,X_62))) )],[refute_0_813,refute_0_814]) ).
cnf(refute_0_816,plain,
( complement(join(X_62,X_62)) != complement(X_62)
| top != join(join(X_62,X_62),complement(join(X_62,X_62)))
| top = join(join(X_62,X_62),complement(X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_62,X_62),complement(join(X_62,X_62)))) ),[1,1],$fot(complement(X_62))]]) ).
cnf(refute_0_817,plain,
( top != join(join(X_62,X_62),complement(join(X_62,X_62)))
| top = join(join(X_62,X_62),complement(X_62)) ),
inference(resolve,[$cnf( $equal(complement(join(X_62,X_62)),complement(X_62)) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
top = join(join(X_62,X_62),complement(X_62)),
inference(resolve,[$cnf( $equal(top,join(join(X_62,X_62),complement(join(X_62,X_62)))) )],[refute_0_785,refute_0_817]) ).
cnf(refute_0_819,plain,
join(X_62,complement(X_62)) = top,
inference(subst,[],[refute_0_140:[bind(X0,$fot(X_62))]]) ).
cnf(refute_0_820,plain,
join(X_62,join(X_62,complement(X_62))) = join(X_62,join(X_62,complement(X_62))),
introduced(tautology,[refl,[$fot(join(X_62,join(X_62,complement(X_62))))]]) ).
cnf(refute_0_821,plain,
( join(X_62,complement(X_62)) != top
| join(X_62,join(X_62,complement(X_62))) != join(X_62,join(X_62,complement(X_62)))
| join(X_62,join(X_62,complement(X_62))) = join(X_62,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_62,join(X_62,complement(X_62))),join(X_62,join(X_62,complement(X_62)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_822,plain,
( join(X_62,complement(X_62)) != top
| join(X_62,join(X_62,complement(X_62))) = join(X_62,top) ),
inference(resolve,[$cnf( $equal(join(X_62,join(X_62,complement(X_62))),join(X_62,join(X_62,complement(X_62)))) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
join(X_62,join(X_62,complement(X_62))) = join(X_62,top),
inference(resolve,[$cnf( $equal(join(X_62,complement(X_62)),top) )],[refute_0_819,refute_0_822]) ).
cnf(refute_0_824,plain,
join(join(X_62,X_62),complement(X_62)) = join(X_62,join(X_62,complement(X_62))),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_62)),bind(X1,$fot(X_62)),bind(X2,$fot(complement(X_62)))]]) ).
cnf(refute_0_825,plain,
( join(X_62,join(X_62,complement(X_62))) != join(X_62,top)
| join(join(X_62,X_62),complement(X_62)) != join(X_62,join(X_62,complement(X_62)))
| join(join(X_62,X_62),complement(X_62)) = join(X_62,top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_62,X_62),complement(X_62)))),bind(Y,$fot(join(X_62,join(X_62,complement(X_62))))),bind(Z,$fot(join(X_62,top)))]]) ).
cnf(refute_0_826,plain,
( join(X_62,join(X_62,complement(X_62))) != join(X_62,top)
| join(join(X_62,X_62),complement(X_62)) = join(X_62,top) ),
inference(resolve,[$cnf( $equal(join(join(X_62,X_62),complement(X_62)),join(X_62,join(X_62,complement(X_62)))) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
join(join(X_62,X_62),complement(X_62)) = join(X_62,top),
inference(resolve,[$cnf( $equal(join(X_62,join(X_62,complement(X_62))),join(X_62,top)) )],[refute_0_823,refute_0_826]) ).
cnf(refute_0_828,plain,
( join(join(X_62,X_62),complement(X_62)) != join(X_62,top)
| top != join(join(X_62,X_62),complement(X_62))
| top = join(X_62,top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_62,X_62),complement(X_62))) ),[1],$fot(join(X_62,top))]]) ).
cnf(refute_0_829,plain,
( top != join(join(X_62,X_62),complement(X_62))
| top = join(X_62,top) ),
inference(resolve,[$cnf( $equal(join(join(X_62,X_62),complement(X_62)),join(X_62,top)) )],[refute_0_827,refute_0_828]) ).
cnf(refute_0_830,plain,
top = join(X_62,top),
inference(resolve,[$cnf( $equal(top,join(join(X_62,X_62),complement(X_62))) )],[refute_0_818,refute_0_829]) ).
cnf(refute_0_831,plain,
top = join(X1,top),
inference(subst,[],[refute_0_830:[bind(X_62,$fot(X1))]]) ).
cnf(refute_0_832,plain,
( top != join(X1,top)
| join(X1,top) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(X1,top)))]]) ).
cnf(refute_0_833,plain,
join(X1,top) = top,
inference(resolve,[$cnf( $equal(top,join(X1,top)) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
( join(X1,top) != top
| join(top,X1) != join(X1,top)
| join(top,X1) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,X1),join(X1,top)) ),[1],$fot(top)]]) ).
cnf(refute_0_835,plain,
( join(top,X1) != join(X1,top)
| join(top,X1) = top ),
inference(resolve,[$cnf( $equal(join(X1,top),top) )],[refute_0_833,refute_0_834]) ).
cnf(refute_0_836,plain,
join(top,X1) = top,
inference(resolve,[$cnf( $equal(join(top,X1),join(X1,top)) )],[refute_0_784,refute_0_835]) ).
cnf(refute_0_837,plain,
join(top,X_82) = top,
inference(subst,[],[refute_0_836:[bind(X1,$fot(X_82))]]) ).
cnf(refute_0_838,plain,
( join(X_80,join(complement(X_80),X_82)) != join(top,X_82)
| join(top,X_82) != top
| join(X_80,join(complement(X_80),X_82)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_80,join(complement(X_80),X_82)),top) ),[0],$fot(join(top,X_82))]]) ).
cnf(refute_0_839,plain,
( join(X_80,join(complement(X_80),X_82)) != join(top,X_82)
| join(X_80,join(complement(X_80),X_82)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_82),top) )],[refute_0_837,refute_0_838]) ).
cnf(refute_0_840,plain,
join(X_80,join(complement(X_80),X_82)) = top,
inference(resolve,[$cnf( $equal(join(X_80,join(complement(X_80),X_82)),join(top,X_82)) )],[refute_0_783,refute_0_839]) ).
cnf(refute_0_841,plain,
join(complement(X_39),join(complement(complement(X_39)),X_94)) = top,
inference(subst,[],[refute_0_840:[bind(X_80,$fot(complement(X_39))),bind(X_82,$fot(X_94))]]) ).
cnf(refute_0_842,plain,
( X_39 != join(meet(join(complement(complement(X_39)),X_94),X_39),complement(join(complement(X_39),join(complement(complement(X_39)),X_94))))
| join(complement(X_39),join(complement(complement(X_39)),X_94)) != top
| X_39 = join(meet(join(complement(complement(X_39)),X_94),X_39),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_39,join(meet(join(complement(complement(X_39)),X_94),X_39),complement(join(complement(X_39),join(complement(complement(X_39)),X_94))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_843,plain,
( X_39 != join(meet(join(complement(complement(X_39)),X_94),X_39),complement(join(complement(X_39),join(complement(complement(X_39)),X_94))))
| X_39 = join(meet(join(complement(complement(X_39)),X_94),X_39),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),join(complement(complement(X_39)),X_94)),top) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
X_39 = join(meet(join(complement(complement(X_39)),X_94),X_39),complement(top)),
inference(resolve,[$cnf( $equal(X_39,join(meet(join(complement(complement(X_39)),X_94),X_39),complement(join(complement(X_39),join(complement(complement(X_39)),X_94))))) )],[refute_0_776,refute_0_843]) ).
cnf(refute_0_845,plain,
join(zero,meet(X_39,join(X_39,X_94))) = meet(X_39,join(X_39,X_94)),
inference(subst,[],[refute_0_565:[bind(X_39,$fot(meet(X_39,join(X_39,X_94))))]]) ).
cnf(refute_0_846,plain,
join(complement(complement(X_39)),X_94) = join(complement(complement(X_39)),X_94),
introduced(tautology,[refl,[$fot(join(complement(complement(X_39)),X_94))]]) ).
cnf(refute_0_847,plain,
( complement(complement(X_39)) != X_39
| join(complement(complement(X_39)),X_94) != join(complement(complement(X_39)),X_94)
| join(complement(complement(X_39)),X_94) = join(X_39,X_94) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_39)),X_94),join(complement(complement(X_39)),X_94)) ),[1,0],$fot(X_39)]]) ).
cnf(refute_0_848,plain,
( complement(complement(X_39)) != X_39
| join(complement(complement(X_39)),X_94) = join(X_39,X_94) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_39)),X_94),join(complement(complement(X_39)),X_94)) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
join(complement(complement(X_39)),X_94) = join(X_39,X_94),
inference(resolve,[$cnf( $equal(complement(complement(X_39)),X_39) )],[refute_0_340,refute_0_848]) ).
cnf(refute_0_850,plain,
meet(X_39,join(complement(complement(X_39)),X_94)) = meet(X_39,join(complement(complement(X_39)),X_94)),
introduced(tautology,[refl,[$fot(meet(X_39,join(complement(complement(X_39)),X_94)))]]) ).
cnf(refute_0_851,plain,
( join(complement(complement(X_39)),X_94) != join(X_39,X_94)
| meet(X_39,join(complement(complement(X_39)),X_94)) != meet(X_39,join(complement(complement(X_39)),X_94))
| meet(X_39,join(complement(complement(X_39)),X_94)) = meet(X_39,join(X_39,X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_39,join(complement(complement(X_39)),X_94)),meet(X_39,join(complement(complement(X_39)),X_94))) ),[1,1],$fot(join(X_39,X_94))]]) ).
cnf(refute_0_852,plain,
( join(complement(complement(X_39)),X_94) != join(X_39,X_94)
| meet(X_39,join(complement(complement(X_39)),X_94)) = meet(X_39,join(X_39,X_94)) ),
inference(resolve,[$cnf( $equal(meet(X_39,join(complement(complement(X_39)),X_94)),meet(X_39,join(complement(complement(X_39)),X_94))) )],[refute_0_850,refute_0_851]) ).
cnf(refute_0_853,plain,
meet(X_39,join(complement(complement(X_39)),X_94)) = meet(X_39,join(X_39,X_94)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_39)),X_94),join(X_39,X_94)) )],[refute_0_849,refute_0_852]) ).
cnf(refute_0_854,plain,
meet(join(complement(complement(X_39)),X_94),X_39) = meet(X_39,join(complement(complement(X_39)),X_94)),
inference(subst,[],[refute_0_191:[bind(X_10,$fot(X_39)),bind(X_11,$fot(join(complement(complement(X_39)),X_94)))]]) ).
cnf(refute_0_855,plain,
( meet(X_39,join(complement(complement(X_39)),X_94)) != meet(X_39,join(X_39,X_94))
| meet(join(complement(complement(X_39)),X_94),X_39) != meet(X_39,join(complement(complement(X_39)),X_94))
| meet(join(complement(complement(X_39)),X_94),X_39) = meet(X_39,join(X_39,X_94)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(complement(complement(X_39)),X_94),X_39))),bind(Y,$fot(meet(X_39,join(complement(complement(X_39)),X_94)))),bind(Z,$fot(meet(X_39,join(X_39,X_94))))]]) ).
cnf(refute_0_856,plain,
( meet(X_39,join(complement(complement(X_39)),X_94)) != meet(X_39,join(X_39,X_94))
| meet(join(complement(complement(X_39)),X_94),X_39) = meet(X_39,join(X_39,X_94)) ),
inference(resolve,[$cnf( $equal(meet(join(complement(complement(X_39)),X_94),X_39),meet(X_39,join(complement(complement(X_39)),X_94))) )],[refute_0_854,refute_0_855]) ).
cnf(refute_0_857,plain,
meet(join(complement(complement(X_39)),X_94),X_39) = meet(X_39,join(X_39,X_94)),
inference(resolve,[$cnf( $equal(meet(X_39,join(complement(complement(X_39)),X_94)),meet(X_39,join(X_39,X_94))) )],[refute_0_853,refute_0_856]) ).
cnf(refute_0_858,plain,
join(zero,meet(join(complement(complement(X_39)),X_94),X_39)) = join(zero,meet(join(complement(complement(X_39)),X_94),X_39)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(complement(X_39)),X_94),X_39)))]]) ).
cnf(refute_0_859,plain,
( join(zero,meet(join(complement(complement(X_39)),X_94),X_39)) != join(zero,meet(join(complement(complement(X_39)),X_94),X_39))
| meet(join(complement(complement(X_39)),X_94),X_39) != meet(X_39,join(X_39,X_94))
| join(zero,meet(join(complement(complement(X_39)),X_94),X_39)) = join(zero,meet(X_39,join(X_39,X_94))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(complement(X_39)),X_94),X_39)),join(zero,meet(join(complement(complement(X_39)),X_94),X_39))) ),[1,1],$fot(meet(X_39,join(X_39,X_94)))]]) ).
cnf(refute_0_860,plain,
( meet(join(complement(complement(X_39)),X_94),X_39) != meet(X_39,join(X_39,X_94))
| join(zero,meet(join(complement(complement(X_39)),X_94),X_39)) = join(zero,meet(X_39,join(X_39,X_94))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(complement(X_39)),X_94),X_39)),join(zero,meet(join(complement(complement(X_39)),X_94),X_39))) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
join(zero,meet(join(complement(complement(X_39)),X_94),X_39)) = join(zero,meet(X_39,join(X_39,X_94))),
inference(resolve,[$cnf( $equal(meet(join(complement(complement(X_39)),X_94),X_39),meet(X_39,join(X_39,X_94))) )],[refute_0_857,refute_0_860]) ).
cnf(refute_0_862,plain,
join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)) = join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)))]]) ).
cnf(refute_0_863,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)) != join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39))
| join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)) = join(zero,meet(join(complement(complement(X_39)),X_94),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)),join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_864,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)) = join(zero,meet(join(complement(complement(X_39)),X_94),X_39)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)),join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39))) )],[refute_0_862,refute_0_863]) ).
cnf(refute_0_865,plain,
join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)) = join(zero,meet(join(complement(complement(X_39)),X_94),X_39)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_154,refute_0_864]) ).
cnf(refute_0_866,plain,
( join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)) != join(zero,meet(join(complement(complement(X_39)),X_94),X_39))
| join(zero,meet(join(complement(complement(X_39)),X_94),X_39)) != join(zero,meet(X_39,join(X_39,X_94)))
| join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)) = join(zero,meet(X_39,join(X_39,X_94))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)))),bind(Y,$fot(join(zero,meet(join(complement(complement(X_39)),X_94),X_39)))),bind(Z,$fot(join(zero,meet(X_39,join(X_39,X_94)))))]]) ).
cnf(refute_0_867,plain,
( join(zero,meet(join(complement(complement(X_39)),X_94),X_39)) != join(zero,meet(X_39,join(X_39,X_94)))
| join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)) = join(zero,meet(X_39,join(X_39,X_94))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)),join(zero,meet(join(complement(complement(X_39)),X_94),X_39))) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)) = join(zero,meet(X_39,join(X_39,X_94))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(complement(X_39)),X_94),X_39)),join(zero,meet(X_39,join(X_39,X_94)))) )],[refute_0_861,refute_0_867]) ).
cnf(refute_0_869,plain,
( join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)) != join(zero,meet(X_39,join(X_39,X_94)))
| join(zero,meet(X_39,join(X_39,X_94))) != meet(X_39,join(X_39,X_94))
| join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)) = meet(X_39,join(X_39,X_94)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)))),bind(Y,$fot(join(zero,meet(X_39,join(X_39,X_94))))),bind(Z,$fot(meet(X_39,join(X_39,X_94))))]]) ).
cnf(refute_0_870,plain,
( join(zero,meet(X_39,join(X_39,X_94))) != meet(X_39,join(X_39,X_94))
| join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)) = meet(X_39,join(X_39,X_94)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)),join(zero,meet(X_39,join(X_39,X_94)))) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)) = meet(X_39,join(X_39,X_94)),
inference(resolve,[$cnf( $equal(join(zero,meet(X_39,join(X_39,X_94))),meet(X_39,join(X_39,X_94))) )],[refute_0_845,refute_0_870]) ).
cnf(refute_0_872,plain,
join(meet(join(complement(complement(X_39)),X_94),X_39),complement(top)) = join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(complement(complement(X_39)),X_94),X_39)))]]) ).
cnf(refute_0_873,plain,
( join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)) != meet(X_39,join(X_39,X_94))
| join(meet(join(complement(complement(X_39)),X_94),X_39),complement(top)) != join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39))
| join(meet(join(complement(complement(X_39)),X_94),X_39),complement(top)) = meet(X_39,join(X_39,X_94)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(join(complement(complement(X_39)),X_94),X_39),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)))),bind(Z,$fot(meet(X_39,join(X_39,X_94))))]]) ).
cnf(refute_0_874,plain,
( join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)) != meet(X_39,join(X_39,X_94))
| join(meet(join(complement(complement(X_39)),X_94),X_39),complement(top)) = meet(X_39,join(X_39,X_94)) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(complement(X_39)),X_94),X_39),complement(top)),join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39))) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
join(meet(join(complement(complement(X_39)),X_94),X_39),complement(top)) = meet(X_39,join(X_39,X_94)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_39)),X_94),X_39)),meet(X_39,join(X_39,X_94))) )],[refute_0_871,refute_0_874]) ).
cnf(refute_0_876,plain,
( X_39 != join(meet(join(complement(complement(X_39)),X_94),X_39),complement(top))
| join(meet(join(complement(complement(X_39)),X_94),X_39),complement(top)) != meet(X_39,join(X_39,X_94))
| X_39 = meet(X_39,join(X_39,X_94)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,meet(X_39,join(X_39,X_94))) ),[0],$fot(join(meet(join(complement(complement(X_39)),X_94),X_39),complement(top)))]]) ).
cnf(refute_0_877,plain,
( X_39 != join(meet(join(complement(complement(X_39)),X_94),X_39),complement(top))
| X_39 = meet(X_39,join(X_39,X_94)) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(complement(X_39)),X_94),X_39),complement(top)),meet(X_39,join(X_39,X_94))) )],[refute_0_875,refute_0_876]) ).
cnf(refute_0_878,plain,
X_39 = meet(X_39,join(X_39,X_94)),
inference(resolve,[$cnf( $equal(X_39,join(meet(join(complement(complement(X_39)),X_94),X_39),complement(top))) )],[refute_0_844,refute_0_877]) ).
cnf(refute_0_879,plain,
complement(X_72) = meet(complement(X_72),join(complement(X_72),X_117)),
inference(subst,[],[refute_0_878:[bind(X_39,$fot(complement(X_72))),bind(X_94,$fot(X_117))]]) ).
cnf(refute_0_880,plain,
( complement(X_72) != meet(complement(X_72),join(complement(X_72),X_117))
| meet(complement(X_72),join(complement(X_72),X_117)) = complement(X_72) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(X_72))),bind(Y,$fot(meet(complement(X_72),join(complement(X_72),X_117))))]]) ).
cnf(refute_0_881,plain,
meet(complement(X_72),join(complement(X_72),X_117)) = complement(X_72),
inference(resolve,[$cnf( $equal(complement(X_72),meet(complement(X_72),join(complement(X_72),X_117))) )],[refute_0_879,refute_0_880]) ).
cnf(refute_0_882,plain,
( join(complement(X_72),X_117) != join(meet(X_72,join(complement(X_72),X_117)),meet(complement(X_72),join(complement(X_72),X_117)))
| meet(complement(X_72),join(complement(X_72),X_117)) != complement(X_72)
| join(complement(X_72),X_117) = join(meet(X_72,join(complement(X_72),X_117)),complement(X_72)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_72),X_117),join(meet(X_72,join(complement(X_72),X_117)),meet(complement(X_72),join(complement(X_72),X_117)))) ),[1,1],$fot(complement(X_72))]]) ).
cnf(refute_0_883,plain,
( join(complement(X_72),X_117) != join(meet(X_72,join(complement(X_72),X_117)),meet(complement(X_72),join(complement(X_72),X_117)))
| join(complement(X_72),X_117) = join(meet(X_72,join(complement(X_72),X_117)),complement(X_72)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_72),join(complement(X_72),X_117)),complement(X_72)) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
join(complement(X_72),X_117) = join(meet(X_72,join(complement(X_72),X_117)),complement(X_72)),
inference(resolve,[$cnf( $equal(join(complement(X_72),X_117),join(meet(X_72,join(complement(X_72),X_117)),meet(complement(X_72),join(complement(X_72),X_117)))) )],[refute_0_768,refute_0_883]) ).
cnf(refute_0_885,plain,
join(meet(X_72,join(complement(X_72),X_117)),complement(X_72)) = join(complement(X_72),meet(X_72,join(complement(X_72),X_117))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(X_72))),bind(X1,$fot(meet(X_72,join(complement(X_72),X_117))))]]) ).
cnf(refute_0_886,plain,
( join(complement(X_72),X_117) != join(meet(X_72,join(complement(X_72),X_117)),complement(X_72))
| join(meet(X_72,join(complement(X_72),X_117)),complement(X_72)) != join(complement(X_72),meet(X_72,join(complement(X_72),X_117)))
| join(complement(X_72),X_117) = join(complement(X_72),meet(X_72,join(complement(X_72),X_117))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_72),X_117),join(complement(X_72),meet(X_72,join(complement(X_72),X_117)))) ),[0],$fot(join(meet(X_72,join(complement(X_72),X_117)),complement(X_72)))]]) ).
cnf(refute_0_887,plain,
( join(complement(X_72),X_117) != join(meet(X_72,join(complement(X_72),X_117)),complement(X_72))
| join(complement(X_72),X_117) = join(complement(X_72),meet(X_72,join(complement(X_72),X_117))) ),
inference(resolve,[$cnf( $equal(join(meet(X_72,join(complement(X_72),X_117)),complement(X_72)),join(complement(X_72),meet(X_72,join(complement(X_72),X_117)))) )],[refute_0_885,refute_0_886]) ).
cnf(refute_0_888,plain,
join(complement(X_72),X_117) = join(complement(X_72),meet(X_72,join(complement(X_72),X_117))),
inference(resolve,[$cnf( $equal(join(complement(X_72),X_117),join(meet(X_72,join(complement(X_72),X_117)),complement(X_72))) )],[refute_0_884,refute_0_887]) ).
cnf(refute_0_889,plain,
meet(complement(meet(complement(meet(X_165,X_166)),join(complement(X_165),X_166))),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) = complement(complement(meet(X_165,X_166))),
inference(subst,[],[refute_0_333:[bind(X_136,$fot(complement(meet(X_165,X_166)))),bind(X_137,$fot(join(complement(X_165),X_166)))]]) ).
cnf(refute_0_890,plain,
meet(complement(meet(X_165,X_166)),join(complement(X_165),X_166)) = complement(X_165),
inference(subst,[],[refute_0_333:[bind(X_136,$fot(X_165)),bind(X_137,$fot(X_166))]]) ).
cnf(refute_0_891,plain,
( meet(complement(meet(X_165,X_166)),join(complement(X_165),X_166)) != complement(X_165)
| meet(complement(meet(complement(meet(X_165,X_166)),join(complement(X_165),X_166))),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) != complement(complement(meet(X_165,X_166)))
| meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) = complement(complement(meet(X_165,X_166))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(complement(meet(X_165,X_166)),join(complement(X_165),X_166))),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))),complement(complement(meet(X_165,X_166)))) ),[0,0,0],$fot(complement(X_165))]]) ).
cnf(refute_0_892,plain,
( meet(complement(meet(complement(meet(X_165,X_166)),join(complement(X_165),X_166))),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) != complement(complement(meet(X_165,X_166)))
| meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) = complement(complement(meet(X_165,X_166))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_165,X_166)),join(complement(X_165),X_166)),complement(X_165)) )],[refute_0_890,refute_0_891]) ).
cnf(refute_0_893,plain,
meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) = complement(complement(meet(X_165,X_166))),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(meet(X_165,X_166)),join(complement(X_165),X_166))),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))),complement(complement(meet(X_165,X_166)))) )],[refute_0_889,refute_0_892]) ).
cnf(refute_0_894,plain,
complement(complement(meet(X_165,X_166))) = meet(X_165,X_166),
inference(subst,[],[refute_0_340:[bind(X_39,$fot(meet(X_165,X_166)))]]) ).
cnf(refute_0_895,plain,
join(X_166,complement(complement(meet(X_165,X_166)))) = join(X_166,complement(complement(meet(X_165,X_166)))),
introduced(tautology,[refl,[$fot(join(X_166,complement(complement(meet(X_165,X_166)))))]]) ).
cnf(refute_0_896,plain,
( complement(complement(meet(X_165,X_166))) != meet(X_165,X_166)
| join(X_166,complement(complement(meet(X_165,X_166)))) != join(X_166,complement(complement(meet(X_165,X_166))))
| join(X_166,complement(complement(meet(X_165,X_166)))) = join(X_166,meet(X_165,X_166)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_166,complement(complement(meet(X_165,X_166)))),join(X_166,complement(complement(meet(X_165,X_166))))) ),[1,1],$fot(meet(X_165,X_166))]]) ).
cnf(refute_0_897,plain,
( complement(complement(meet(X_165,X_166))) != meet(X_165,X_166)
| join(X_166,complement(complement(meet(X_165,X_166)))) = join(X_166,meet(X_165,X_166)) ),
inference(resolve,[$cnf( $equal(join(X_166,complement(complement(meet(X_165,X_166)))),join(X_166,complement(complement(meet(X_165,X_166))))) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
join(X_166,complement(complement(meet(X_165,X_166)))) = join(X_166,meet(X_165,X_166)),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_165,X_166))),meet(X_165,X_166)) )],[refute_0_894,refute_0_897]) ).
cnf(refute_0_899,plain,
join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166))))) = join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166))))),
introduced(tautology,[refl,[$fot(join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166))))))]]) ).
cnf(refute_0_900,plain,
( join(X_166,complement(complement(meet(X_165,X_166)))) != join(X_166,meet(X_165,X_166))
| join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166))))) != join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166)))))
| join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166))))) = join(complement(X_165),join(X_166,meet(X_165,X_166))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166))))),join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166)))))) ),[1,1],$fot(join(X_166,meet(X_165,X_166)))]]) ).
cnf(refute_0_901,plain,
( join(X_166,complement(complement(meet(X_165,X_166)))) != join(X_166,meet(X_165,X_166))
| join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166))))) = join(complement(X_165),join(X_166,meet(X_165,X_166))) ),
inference(resolve,[$cnf( $equal(join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166))))),join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166)))))) )],[refute_0_899,refute_0_900]) ).
cnf(refute_0_902,plain,
join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166))))) = join(complement(X_165),join(X_166,meet(X_165,X_166))),
inference(resolve,[$cnf( $equal(join(X_166,complement(complement(meet(X_165,X_166)))),join(X_166,meet(X_165,X_166))) )],[refute_0_898,refute_0_901]) ).
cnf(refute_0_903,plain,
join(X_82,X_81) = join(X_81,X_82),
inference(subst,[],[refute_0_13:[bind(X0,$fot(X_82)),bind(X1,$fot(X_81))]]) ).
cnf(refute_0_904,plain,
( join(X_82,X_81) != join(X_81,X_82)
| join(X_81,X_82) = join(X_82,X_81) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_82,X_81))),bind(Y,$fot(join(X_81,X_82)))]]) ).
cnf(refute_0_905,plain,
join(X_81,X_82) = join(X_82,X_81),
inference(resolve,[$cnf( $equal(join(X_82,X_81),join(X_81,X_82)) )],[refute_0_903,refute_0_904]) ).
cnf(refute_0_906,plain,
( join(X_80,join(X_81,X_82)) != join(join(X_80,X_81),X_82)
| join(X_81,X_82) != join(X_82,X_81)
| join(X_80,join(X_82,X_81)) = join(join(X_80,X_81),X_82) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_80,join(X_81,X_82)),join(join(X_80,X_81),X_82)) ),[0,1],$fot(join(X_82,X_81))]]) ).
cnf(refute_0_907,plain,
( join(X_80,join(X_81,X_82)) != join(join(X_80,X_81),X_82)
| join(X_80,join(X_82,X_81)) = join(join(X_80,X_81),X_82) ),
inference(resolve,[$cnf( $equal(join(X_81,X_82),join(X_82,X_81)) )],[refute_0_905,refute_0_906]) ).
cnf(refute_0_908,plain,
join(X_80,join(X_82,X_81)) = join(join(X_80,X_81),X_82),
inference(resolve,[$cnf( $equal(join(X_80,join(X_81,X_82)),join(join(X_80,X_81),X_82)) )],[refute_0_404,refute_0_907]) ).
cnf(refute_0_909,plain,
join(join(X_80,X_81),X_82) = join(X_80,join(X_81,X_82)),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_80)),bind(X1,$fot(X_81)),bind(X2,$fot(X_82))]]) ).
cnf(refute_0_910,plain,
( join(X_80,join(X_82,X_81)) != join(join(X_80,X_81),X_82)
| join(join(X_80,X_81),X_82) != join(X_80,join(X_81,X_82))
| join(X_80,join(X_82,X_81)) = join(X_80,join(X_81,X_82)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_80,join(X_82,X_81)),join(X_80,join(X_81,X_82))) ),[0],$fot(join(join(X_80,X_81),X_82))]]) ).
cnf(refute_0_911,plain,
( join(X_80,join(X_82,X_81)) != join(join(X_80,X_81),X_82)
| join(X_80,join(X_82,X_81)) = join(X_80,join(X_81,X_82)) ),
inference(resolve,[$cnf( $equal(join(join(X_80,X_81),X_82),join(X_80,join(X_81,X_82))) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
join(X_80,join(X_82,X_81)) = join(X_80,join(X_81,X_82)),
inference(resolve,[$cnf( $equal(join(X_80,join(X_82,X_81)),join(join(X_80,X_81),X_82)) )],[refute_0_908,refute_0_911]) ).
cnf(refute_0_913,plain,
( join(X_80,join(X_82,X_81)) != join(X_80,join(X_81,X_82))
| join(X_80,join(X_81,X_82)) = join(X_80,join(X_82,X_81)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_80,join(X_82,X_81)))),bind(Y,$fot(join(X_80,join(X_81,X_82))))]]) ).
cnf(refute_0_914,plain,
join(X_80,join(X_81,X_82)) = join(X_80,join(X_82,X_81)),
inference(resolve,[$cnf( $equal(join(X_80,join(X_82,X_81)),join(X_80,join(X_81,X_82))) )],[refute_0_912,refute_0_913]) ).
cnf(refute_0_915,plain,
join(complement(X_165),join(complement(complement(meet(X_165,X_166))),X_166)) = join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166))))),
inference(subst,[],[refute_0_914:[bind(X_80,$fot(complement(X_165))),bind(X_81,$fot(complement(complement(meet(X_165,X_166))))),bind(X_82,$fot(X_166))]]) ).
cnf(refute_0_916,plain,
join(X0,join(X_80,X_81)) = join(join(X_80,X_81),X0),
inference(subst,[],[refute_0_13:[bind(X1,$fot(join(X_80,X_81)))]]) ).
cnf(refute_0_917,plain,
join(X_80,join(X_81,X0)) = join(join(X_80,X_81),X0),
inference(subst,[],[refute_0_260:[bind(X0,$fot(X_80)),bind(X1,$fot(X_81)),bind(X2,$fot(X0))]]) ).
cnf(refute_0_918,plain,
( join(X_80,join(X_81,X0)) != join(join(X_80,X_81),X0)
| join(join(X_80,X_81),X0) = join(X_80,join(X_81,X0)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_80,join(X_81,X0)))),bind(Y,$fot(join(join(X_80,X_81),X0)))]]) ).
cnf(refute_0_919,plain,
join(join(X_80,X_81),X0) = join(X_80,join(X_81,X0)),
inference(resolve,[$cnf( $equal(join(X_80,join(X_81,X0)),join(join(X_80,X_81),X0)) )],[refute_0_917,refute_0_918]) ).
cnf(refute_0_920,plain,
( join(X0,join(X_80,X_81)) != join(join(X_80,X_81),X0)
| join(join(X_80,X_81),X0) != join(X_80,join(X_81,X0))
| join(X0,join(X_80,X_81)) = join(X_80,join(X_81,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_80,X_81)),join(X_80,join(X_81,X0))) ),[0],$fot(join(join(X_80,X_81),X0))]]) ).
cnf(refute_0_921,plain,
( join(X0,join(X_80,X_81)) != join(join(X_80,X_81),X0)
| join(X0,join(X_80,X_81)) = join(X_80,join(X_81,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X_80,X_81),X0),join(X_80,join(X_81,X0))) )],[refute_0_919,refute_0_920]) ).
cnf(refute_0_922,plain,
join(X0,join(X_80,X_81)) = join(X_80,join(X_81,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_80,X_81)),join(join(X_80,X_81),X0)) )],[refute_0_916,refute_0_921]) ).
cnf(refute_0_923,plain,
join(X_129,join(X_130,X_131)) = join(X_130,join(X_131,X_129)),
inference(subst,[],[refute_0_922:[bind(X0,$fot(X_129)),bind(X_80,$fot(X_130)),bind(X_81,$fot(X_131))]]) ).
cnf(refute_0_924,plain,
join(X_129,X_131) = join(X_131,X_129),
inference(subst,[],[refute_0_13:[bind(X0,$fot(X_129)),bind(X1,$fot(X_131))]]) ).
cnf(refute_0_925,plain,
( join(X_129,X_131) != join(X_131,X_129)
| join(X_131,X_129) = join(X_129,X_131) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_129,X_131))),bind(Y,$fot(join(X_131,X_129)))]]) ).
cnf(refute_0_926,plain,
join(X_131,X_129) = join(X_129,X_131),
inference(resolve,[$cnf( $equal(join(X_129,X_131),join(X_131,X_129)) )],[refute_0_924,refute_0_925]) ).
cnf(refute_0_927,plain,
( join(X_129,join(X_130,X_131)) != join(X_130,join(X_131,X_129))
| join(X_131,X_129) != join(X_129,X_131)
| join(X_129,join(X_130,X_131)) = join(X_130,join(X_129,X_131)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_129,join(X_130,X_131)),join(X_130,join(X_131,X_129))) ),[1,1],$fot(join(X_129,X_131))]]) ).
cnf(refute_0_928,plain,
( join(X_129,join(X_130,X_131)) != join(X_130,join(X_131,X_129))
| join(X_129,join(X_130,X_131)) = join(X_130,join(X_129,X_131)) ),
inference(resolve,[$cnf( $equal(join(X_131,X_129),join(X_129,X_131)) )],[refute_0_926,refute_0_927]) ).
cnf(refute_0_929,plain,
join(X_129,join(X_130,X_131)) = join(X_130,join(X_129,X_131)),
inference(resolve,[$cnf( $equal(join(X_129,join(X_130,X_131)),join(X_130,join(X_131,X_129))) )],[refute_0_923,refute_0_928]) ).
cnf(refute_0_930,plain,
( join(X_129,join(X_130,X_131)) != join(X_130,join(X_129,X_131))
| join(X_130,join(X_129,X_131)) = join(X_129,join(X_130,X_131)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_129,join(X_130,X_131)))),bind(Y,$fot(join(X_130,join(X_129,X_131))))]]) ).
cnf(refute_0_931,plain,
join(X_130,join(X_129,X_131)) = join(X_129,join(X_130,X_131)),
inference(resolve,[$cnf( $equal(join(X_129,join(X_130,X_131)),join(X_130,join(X_129,X_131))) )],[refute_0_929,refute_0_930]) ).
cnf(refute_0_932,plain,
join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)) = join(complement(X_165),join(complement(complement(meet(X_165,X_166))),X_166)),
inference(subst,[],[refute_0_931:[bind(X_129,$fot(complement(X_165))),bind(X_130,$fot(complement(complement(meet(X_165,X_166))))),bind(X_131,$fot(X_166))]]) ).
cnf(refute_0_933,plain,
( join(complement(X_165),join(complement(complement(meet(X_165,X_166))),X_166)) != join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166)))))
| join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)) != join(complement(X_165),join(complement(complement(meet(X_165,X_166))),X_166))
| join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)) = join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)))),bind(Y,$fot(join(complement(X_165),join(complement(complement(meet(X_165,X_166))),X_166)))),bind(Z,$fot(join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166)))))))]]) ).
cnf(refute_0_934,plain,
( join(complement(X_165),join(complement(complement(meet(X_165,X_166))),X_166)) != join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166)))))
| join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)) = join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)),join(complement(X_165),join(complement(complement(meet(X_165,X_166))),X_166))) )],[refute_0_932,refute_0_933]) ).
cnf(refute_0_935,plain,
join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)) = join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166))))),
inference(resolve,[$cnf( $equal(join(complement(X_165),join(complement(complement(meet(X_165,X_166))),X_166)),join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166)))))) )],[refute_0_915,refute_0_934]) ).
cnf(refute_0_936,plain,
( join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166))))) != join(complement(X_165),join(X_166,meet(X_165,X_166)))
| join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)) != join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166)))))
| join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)) = join(complement(X_165),join(X_166,meet(X_165,X_166))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)))),bind(Y,$fot(join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166))))))),bind(Z,$fot(join(complement(X_165),join(X_166,meet(X_165,X_166)))))]]) ).
cnf(refute_0_937,plain,
( join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166))))) != join(complement(X_165),join(X_166,meet(X_165,X_166)))
| join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)) = join(complement(X_165),join(X_166,meet(X_165,X_166))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)),join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166)))))) )],[refute_0_935,refute_0_936]) ).
cnf(refute_0_938,plain,
join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)) = join(complement(X_165),join(X_166,meet(X_165,X_166))),
inference(resolve,[$cnf( $equal(join(complement(X_165),join(X_166,complement(complement(meet(X_165,X_166))))),join(complement(X_165),join(X_166,meet(X_165,X_166)))) )],[refute_0_902,refute_0_937]) ).
cnf(refute_0_939,plain,
meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) = meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))),
introduced(tautology,[refl,[$fot(meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))))]]) ).
cnf(refute_0_940,plain,
( join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)) != join(complement(X_165),join(X_166,meet(X_165,X_166)))
| meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) != meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)))
| meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) = meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))),meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)))) ),[1,1],$fot(join(complement(X_165),join(X_166,meet(X_165,X_166))))]]) ).
cnf(refute_0_941,plain,
( join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)) != join(complement(X_165),join(X_166,meet(X_165,X_166)))
| meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) = meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) ),
inference(resolve,[$cnf( $equal(meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))),meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)))) )],[refute_0_939,refute_0_940]) ).
cnf(refute_0_942,plain,
meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) = meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)),join(complement(X_165),join(X_166,meet(X_165,X_166)))) )],[refute_0_938,refute_0_941]) ).
cnf(refute_0_943,plain,
complement(complement(X_165)) = X_165,
inference(subst,[],[refute_0_340:[bind(X_39,$fot(X_165))]]) ).
cnf(refute_0_944,plain,
meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) = meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))))]]) ).
cnf(refute_0_945,plain,
( complement(complement(X_165)) != X_165
| meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) != meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)))
| meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) = meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))),meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)))) ),[1,0],$fot(X_165)]]) ).
cnf(refute_0_946,plain,
( complement(complement(X_165)) != X_165
| meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) = meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))),meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)))) )],[refute_0_944,refute_0_945]) ).
cnf(refute_0_947,plain,
meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) = meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))),
inference(resolve,[$cnf( $equal(complement(complement(X_165)),X_165) )],[refute_0_943,refute_0_946]) ).
cnf(refute_0_948,plain,
( meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) != meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166))))
| meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) != meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)))
| meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) = meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))))),bind(Y,$fot(meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))))),bind(Z,$fot(meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166))))))]]) ).
cnf(refute_0_949,plain,
( meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) != meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166))))
| meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) = meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))),meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166)))) )],[refute_0_947,refute_0_948]) ).
cnf(refute_0_950,plain,
meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) = meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))),
inference(resolve,[$cnf( $equal(meet(X_165,join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))),meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166))))) )],[refute_0_942,refute_0_949]) ).
cnf(refute_0_951,plain,
( meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) != complement(complement(meet(X_165,X_166)))
| meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) != meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166))))
| meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) = complement(complement(meet(X_165,X_166))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))),complement(complement(meet(X_165,X_166)))) ),[0],$fot(meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))))]]) ).
cnf(refute_0_952,plain,
( meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) != complement(complement(meet(X_165,X_166)))
| meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) = complement(complement(meet(X_165,X_166))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))),meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166))))) )],[refute_0_950,refute_0_951]) ).
cnf(refute_0_953,plain,
( complement(complement(meet(X_165,X_166))) != meet(X_165,X_166)
| meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) != complement(complement(meet(X_165,X_166)))
| meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) = meet(X_165,X_166) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))),complement(complement(meet(X_165,X_166)))) ),[1],$fot(meet(X_165,X_166))]]) ).
cnf(refute_0_954,plain,
( meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) != complement(complement(meet(X_165,X_166)))
| meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) = meet(X_165,X_166) ),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_165,X_166))),meet(X_165,X_166)) )],[refute_0_894,refute_0_953]) ).
cnf(refute_0_955,plain,
( meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))) != complement(complement(meet(X_165,X_166)))
| meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) = meet(X_165,X_166) ),
inference(resolve,[$cnf( $equal(meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))),complement(complement(meet(X_165,X_166)))) )],[refute_0_952,refute_0_954]) ).
cnf(refute_0_956,plain,
meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) = meet(X_165,X_166),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_165)),join(complement(complement(meet(X_165,X_166))),join(complement(X_165),X_166))),complement(complement(meet(X_165,X_166)))) )],[refute_0_893,refute_0_955]) ).
cnf(refute_0_957,plain,
join(join(X_81,X_82),join(X_81,X_82)) = join(join(join(X_81,X_82),X_81),X_82),
inference(subst,[],[refute_0_260:[bind(X0,$fot(join(X_81,X_82))),bind(X1,$fot(X_81)),bind(X2,$fot(X_82))]]) ).
cnf(refute_0_958,plain,
X_60 = join(meet(X_61,X_60),complement(join(complement(X_60),X_61))),
inference(subst,[],[refute_0_775:[bind(X_39,$fot(X_60)),bind(X_40,$fot(X_61))]]) ).
cnf(refute_0_959,plain,
join(X_61,complement(X_60)) = join(complement(X_60),X_61),
inference(subst,[],[refute_0_13:[bind(X0,$fot(X_61)),bind(X1,$fot(complement(X_60)))]]) ).
cnf(refute_0_960,plain,
( join(X_61,complement(X_60)) != join(complement(X_60),X_61)
| join(complement(X_60),X_61) = join(X_61,complement(X_60)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_61,complement(X_60)))),bind(Y,$fot(join(complement(X_60),X_61)))]]) ).
cnf(refute_0_961,plain,
join(complement(X_60),X_61) = join(X_61,complement(X_60)),
inference(resolve,[$cnf( $equal(join(X_61,complement(X_60)),join(complement(X_60),X_61)) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
( X_60 != join(meet(X_61,X_60),complement(join(complement(X_60),X_61)))
| join(complement(X_60),X_61) != join(X_61,complement(X_60))
| X_60 = join(meet(X_61,X_60),complement(join(X_61,complement(X_60)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_60,join(meet(X_61,X_60),complement(join(complement(X_60),X_61)))) ),[1,1,0],$fot(join(X_61,complement(X_60)))]]) ).
cnf(refute_0_963,plain,
( X_60 != join(meet(X_61,X_60),complement(join(complement(X_60),X_61)))
| X_60 = join(meet(X_61,X_60),complement(join(X_61,complement(X_60)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_60),X_61),join(X_61,complement(X_60))) )],[refute_0_961,refute_0_962]) ).
cnf(refute_0_964,plain,
X_60 = join(meet(X_61,X_60),complement(join(X_61,complement(X_60)))),
inference(resolve,[$cnf( $equal(X_60,join(meet(X_61,X_60),complement(join(complement(X_60),X_61)))) )],[refute_0_958,refute_0_963]) ).
cnf(refute_0_965,plain,
join(X_62,X_62) = join(meet(complement(X_62),join(X_62,X_62)),complement(join(complement(X_62),complement(join(X_62,X_62))))),
inference(subst,[],[refute_0_964:[bind(X_60,$fot(join(X_62,X_62))),bind(X_61,$fot(complement(X_62)))]]) ).
cnf(refute_0_966,plain,
zero = meet(join(X_62,X_62),complement(join(X_62,X_62))),
inference(subst,[],[refute_0_100:[bind(X0,$fot(join(X_62,X_62)))]]) ).
cnf(refute_0_967,plain,
( complement(join(X_62,X_62)) != complement(X_62)
| zero != meet(join(X_62,X_62),complement(join(X_62,X_62)))
| zero = meet(join(X_62,X_62),complement(X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(X_62,X_62),complement(join(X_62,X_62)))) ),[1,1],$fot(complement(X_62))]]) ).
cnf(refute_0_968,plain,
( zero != meet(join(X_62,X_62),complement(join(X_62,X_62)))
| zero = meet(join(X_62,X_62),complement(X_62)) ),
inference(resolve,[$cnf( $equal(complement(join(X_62,X_62)),complement(X_62)) )],[refute_0_815,refute_0_967]) ).
cnf(refute_0_969,plain,
zero = meet(join(X_62,X_62),complement(X_62)),
inference(resolve,[$cnf( $equal(zero,meet(join(X_62,X_62),complement(join(X_62,X_62)))) )],[refute_0_966,refute_0_968]) ).
cnf(refute_0_970,plain,
meet(join(X_62,X_62),complement(X_62)) = meet(complement(X_62),join(X_62,X_62)),
inference(subst,[],[refute_0_191:[bind(X_10,$fot(complement(X_62))),bind(X_11,$fot(join(X_62,X_62)))]]) ).
cnf(refute_0_971,plain,
( meet(join(X_62,X_62),complement(X_62)) != meet(complement(X_62),join(X_62,X_62))
| zero != meet(join(X_62,X_62),complement(X_62))
| zero = meet(complement(X_62),join(X_62,X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(X_62,X_62),complement(X_62))) ),[1],$fot(meet(complement(X_62),join(X_62,X_62)))]]) ).
cnf(refute_0_972,plain,
( zero != meet(join(X_62,X_62),complement(X_62))
| zero = meet(complement(X_62),join(X_62,X_62)) ),
inference(resolve,[$cnf( $equal(meet(join(X_62,X_62),complement(X_62)),meet(complement(X_62),join(X_62,X_62))) )],[refute_0_970,refute_0_971]) ).
cnf(refute_0_973,plain,
zero = meet(complement(X_62),join(X_62,X_62)),
inference(resolve,[$cnf( $equal(zero,meet(join(X_62,X_62),complement(X_62))) )],[refute_0_969,refute_0_972]) ).
cnf(refute_0_974,plain,
( zero != meet(complement(X_62),join(X_62,X_62))
| meet(complement(X_62),join(X_62,X_62)) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(meet(complement(X_62),join(X_62,X_62))))]]) ).
cnf(refute_0_975,plain,
meet(complement(X_62),join(X_62,X_62)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(complement(X_62),join(X_62,X_62))) )],[refute_0_973,refute_0_974]) ).
cnf(refute_0_976,plain,
( join(X_62,X_62) != join(meet(complement(X_62),join(X_62,X_62)),complement(join(complement(X_62),complement(join(X_62,X_62)))))
| meet(complement(X_62),join(X_62,X_62)) != zero
| join(X_62,X_62) = join(zero,complement(join(complement(X_62),complement(join(X_62,X_62))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_62,X_62),join(meet(complement(X_62),join(X_62,X_62)),complement(join(complement(X_62),complement(join(X_62,X_62)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_977,plain,
( join(X_62,X_62) != join(meet(complement(X_62),join(X_62,X_62)),complement(join(complement(X_62),complement(join(X_62,X_62)))))
| join(X_62,X_62) = join(zero,complement(join(complement(X_62),complement(join(X_62,X_62))))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_62),join(X_62,X_62)),zero) )],[refute_0_975,refute_0_976]) ).
cnf(refute_0_978,plain,
join(X_62,X_62) = join(zero,complement(join(complement(X_62),complement(join(X_62,X_62))))),
inference(resolve,[$cnf( $equal(join(X_62,X_62),join(meet(complement(X_62),join(X_62,X_62)),complement(join(complement(X_62),complement(join(X_62,X_62)))))) )],[refute_0_965,refute_0_977]) ).
cnf(refute_0_979,plain,
complement(complement(X_62)) = X_62,
inference(subst,[],[refute_0_340:[bind(X_39,$fot(X_62))]]) ).
cnf(refute_0_980,plain,
join(X_65,X_65) = join(meet(complement(X_65),join(X_65,X_65)),complement(join(complement(join(X_65,X_65)),complement(X_65)))),
inference(subst,[],[refute_0_775:[bind(X_39,$fot(join(X_65,X_65))),bind(X_40,$fot(complement(X_65)))]]) ).
cnf(refute_0_981,plain,
zero = meet(complement(X_65),join(X_65,X_65)),
inference(subst,[],[refute_0_973:[bind(X_62,$fot(X_65))]]) ).
cnf(refute_0_982,plain,
( zero != meet(complement(X_65),join(X_65,X_65))
| meet(complement(X_65),join(X_65,X_65)) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(meet(complement(X_65),join(X_65,X_65))))]]) ).
cnf(refute_0_983,plain,
meet(complement(X_65),join(X_65,X_65)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(complement(X_65),join(X_65,X_65))) )],[refute_0_981,refute_0_982]) ).
cnf(refute_0_984,plain,
( join(X_65,X_65) != join(meet(complement(X_65),join(X_65,X_65)),complement(join(complement(join(X_65,X_65)),complement(X_65))))
| meet(complement(X_65),join(X_65,X_65)) != zero
| join(X_65,X_65) = join(zero,complement(join(complement(join(X_65,X_65)),complement(X_65)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_65,X_65),join(meet(complement(X_65),join(X_65,X_65)),complement(join(complement(join(X_65,X_65)),complement(X_65))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_985,plain,
( join(X_65,X_65) != join(meet(complement(X_65),join(X_65,X_65)),complement(join(complement(join(X_65,X_65)),complement(X_65))))
| join(X_65,X_65) = join(zero,complement(join(complement(join(X_65,X_65)),complement(X_65)))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_65),join(X_65,X_65)),zero) )],[refute_0_983,refute_0_984]) ).
cnf(refute_0_986,plain,
join(X_65,X_65) = join(zero,complement(join(complement(join(X_65,X_65)),complement(X_65)))),
inference(resolve,[$cnf( $equal(join(X_65,X_65),join(meet(complement(X_65),join(X_65,X_65)),complement(join(complement(join(X_65,X_65)),complement(X_65))))) )],[refute_0_980,refute_0_985]) ).
cnf(refute_0_987,plain,
complement(complement(meet(X_65,join(X_65,X_65)))) = meet(X_65,join(X_65,X_65)),
inference(subst,[],[refute_0_340:[bind(X_39,$fot(meet(X_65,join(X_65,X_65))))]]) ).
cnf(refute_0_988,plain,
meet(join(X_65,X_65),X_65) = meet(X_65,join(X_65,X_65)),
inference(subst,[],[refute_0_191:[bind(X_10,$fot(X_65)),bind(X_11,$fot(join(X_65,X_65)))]]) ).
cnf(refute_0_989,plain,
complement(meet(join(X_65,X_65),X_65)) = complement(meet(join(X_65,X_65),X_65)),
introduced(tautology,[refl,[$fot(complement(meet(join(X_65,X_65),X_65)))]]) ).
cnf(refute_0_990,plain,
( complement(meet(join(X_65,X_65),X_65)) != complement(meet(join(X_65,X_65),X_65))
| meet(join(X_65,X_65),X_65) != meet(X_65,join(X_65,X_65))
| complement(meet(join(X_65,X_65),X_65)) = complement(meet(X_65,join(X_65,X_65))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(join(X_65,X_65),X_65)),complement(meet(join(X_65,X_65),X_65))) ),[1,0],$fot(meet(X_65,join(X_65,X_65)))]]) ).
cnf(refute_0_991,plain,
( meet(join(X_65,X_65),X_65) != meet(X_65,join(X_65,X_65))
| complement(meet(join(X_65,X_65),X_65)) = complement(meet(X_65,join(X_65,X_65))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(X_65,X_65),X_65)),complement(meet(join(X_65,X_65),X_65))) )],[refute_0_989,refute_0_990]) ).
cnf(refute_0_992,plain,
complement(meet(join(X_65,X_65),X_65)) = complement(meet(X_65,join(X_65,X_65))),
inference(resolve,[$cnf( $equal(meet(join(X_65,X_65),X_65),meet(X_65,join(X_65,X_65))) )],[refute_0_988,refute_0_991]) ).
cnf(refute_0_993,plain,
join(complement(join(X_65,X_65)),complement(X_65)) = complement(meet(join(X_65,X_65),X_65)),
inference(subst,[],[refute_0_318:[bind(X0,$fot(join(X_65,X_65))),bind(X1,$fot(X_65))]]) ).
cnf(refute_0_994,plain,
( complement(meet(join(X_65,X_65),X_65)) != complement(meet(X_65,join(X_65,X_65)))
| join(complement(join(X_65,X_65)),complement(X_65)) != complement(meet(join(X_65,X_65),X_65))
| join(complement(join(X_65,X_65)),complement(X_65)) = complement(meet(X_65,join(X_65,X_65))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(join(X_65,X_65)),complement(X_65)))),bind(Y,$fot(complement(meet(join(X_65,X_65),X_65)))),bind(Z,$fot(complement(meet(X_65,join(X_65,X_65)))))]]) ).
cnf(refute_0_995,plain,
( complement(meet(join(X_65,X_65),X_65)) != complement(meet(X_65,join(X_65,X_65)))
| join(complement(join(X_65,X_65)),complement(X_65)) = complement(meet(X_65,join(X_65,X_65))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_65,X_65)),complement(X_65)),complement(meet(join(X_65,X_65),X_65))) )],[refute_0_993,refute_0_994]) ).
cnf(refute_0_996,plain,
join(complement(join(X_65,X_65)),complement(X_65)) = complement(meet(X_65,join(X_65,X_65))),
inference(resolve,[$cnf( $equal(complement(meet(join(X_65,X_65),X_65)),complement(meet(X_65,join(X_65,X_65)))) )],[refute_0_992,refute_0_995]) ).
cnf(refute_0_997,plain,
complement(join(complement(join(X_65,X_65)),complement(X_65))) = complement(join(complement(join(X_65,X_65)),complement(X_65))),
introduced(tautology,[refl,[$fot(complement(join(complement(join(X_65,X_65)),complement(X_65))))]]) ).
cnf(refute_0_998,plain,
( complement(join(complement(join(X_65,X_65)),complement(X_65))) != complement(join(complement(join(X_65,X_65)),complement(X_65)))
| join(complement(join(X_65,X_65)),complement(X_65)) != complement(meet(X_65,join(X_65,X_65)))
| complement(join(complement(join(X_65,X_65)),complement(X_65))) = complement(complement(meet(X_65,join(X_65,X_65)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(join(X_65,X_65)),complement(X_65))),complement(join(complement(join(X_65,X_65)),complement(X_65)))) ),[1,0],$fot(complement(meet(X_65,join(X_65,X_65))))]]) ).
cnf(refute_0_999,plain,
( join(complement(join(X_65,X_65)),complement(X_65)) != complement(meet(X_65,join(X_65,X_65)))
| complement(join(complement(join(X_65,X_65)),complement(X_65))) = complement(complement(meet(X_65,join(X_65,X_65)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(join(X_65,X_65)),complement(X_65))),complement(join(complement(join(X_65,X_65)),complement(X_65)))) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
complement(join(complement(join(X_65,X_65)),complement(X_65))) = complement(complement(meet(X_65,join(X_65,X_65)))),
inference(resolve,[$cnf( $equal(join(complement(join(X_65,X_65)),complement(X_65)),complement(meet(X_65,join(X_65,X_65)))) )],[refute_0_996,refute_0_999]) ).
cnf(refute_0_1001,plain,
( complement(complement(meet(X_65,join(X_65,X_65)))) != meet(X_65,join(X_65,X_65))
| complement(join(complement(join(X_65,X_65)),complement(X_65))) != complement(complement(meet(X_65,join(X_65,X_65))))
| complement(join(complement(join(X_65,X_65)),complement(X_65))) = meet(X_65,join(X_65,X_65)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(complement(join(X_65,X_65)),complement(X_65))))),bind(Y,$fot(complement(complement(meet(X_65,join(X_65,X_65)))))),bind(Z,$fot(meet(X_65,join(X_65,X_65))))]]) ).
cnf(refute_0_1002,plain,
( complement(complement(meet(X_65,join(X_65,X_65)))) != meet(X_65,join(X_65,X_65))
| complement(join(complement(join(X_65,X_65)),complement(X_65))) = meet(X_65,join(X_65,X_65)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(join(X_65,X_65)),complement(X_65))),complement(complement(meet(X_65,join(X_65,X_65))))) )],[refute_0_1000,refute_0_1001]) ).
cnf(refute_0_1003,plain,
complement(join(complement(join(X_65,X_65)),complement(X_65))) = meet(X_65,join(X_65,X_65)),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_65,join(X_65,X_65)))),meet(X_65,join(X_65,X_65))) )],[refute_0_987,refute_0_1002]) ).
cnf(refute_0_1004,plain,
join(zero,complement(join(complement(join(X_65,X_65)),complement(X_65)))) = complement(join(complement(join(X_65,X_65)),complement(X_65))),
inference(subst,[],[refute_0_565:[bind(X_39,$fot(complement(join(complement(join(X_65,X_65)),complement(X_65)))))]]) ).
cnf(refute_0_1005,plain,
( complement(join(complement(join(X_65,X_65)),complement(X_65))) != meet(X_65,join(X_65,X_65))
| join(zero,complement(join(complement(join(X_65,X_65)),complement(X_65)))) != complement(join(complement(join(X_65,X_65)),complement(X_65)))
| join(zero,complement(join(complement(join(X_65,X_65)),complement(X_65)))) = meet(X_65,join(X_65,X_65)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(zero,complement(join(complement(join(X_65,X_65)),complement(X_65)))))),bind(Y,$fot(complement(join(complement(join(X_65,X_65)),complement(X_65))))),bind(Z,$fot(meet(X_65,join(X_65,X_65))))]]) ).
cnf(refute_0_1006,plain,
( complement(join(complement(join(X_65,X_65)),complement(X_65))) != meet(X_65,join(X_65,X_65))
| join(zero,complement(join(complement(join(X_65,X_65)),complement(X_65)))) = meet(X_65,join(X_65,X_65)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(join(X_65,X_65)),complement(X_65)))),complement(join(complement(join(X_65,X_65)),complement(X_65)))) )],[refute_0_1004,refute_0_1005]) ).
cnf(refute_0_1007,plain,
join(zero,complement(join(complement(join(X_65,X_65)),complement(X_65)))) = meet(X_65,join(X_65,X_65)),
inference(resolve,[$cnf( $equal(complement(join(complement(join(X_65,X_65)),complement(X_65))),meet(X_65,join(X_65,X_65))) )],[refute_0_1003,refute_0_1006]) ).
cnf(refute_0_1008,plain,
( join(X_65,X_65) != join(zero,complement(join(complement(join(X_65,X_65)),complement(X_65))))
| join(zero,complement(join(complement(join(X_65,X_65)),complement(X_65)))) != meet(X_65,join(X_65,X_65))
| join(X_65,X_65) = meet(X_65,join(X_65,X_65)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_65,X_65),meet(X_65,join(X_65,X_65))) ),[0],$fot(join(zero,complement(join(complement(join(X_65,X_65)),complement(X_65)))))]]) ).
cnf(refute_0_1009,plain,
( join(X_65,X_65) != join(zero,complement(join(complement(join(X_65,X_65)),complement(X_65))))
| join(X_65,X_65) = meet(X_65,join(X_65,X_65)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(join(X_65,X_65)),complement(X_65)))),meet(X_65,join(X_65,X_65))) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
join(X_65,X_65) = meet(X_65,join(X_65,X_65)),
inference(resolve,[$cnf( $equal(join(X_65,X_65),join(zero,complement(join(complement(join(X_65,X_65)),complement(X_65))))) )],[refute_0_986,refute_0_1009]) ).
cnf(refute_0_1011,plain,
( join(X_65,X_65) != meet(X_65,join(X_65,X_65))
| meet(X_65,join(X_65,X_65)) = join(X_65,X_65) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_65,X_65))),bind(Y,$fot(meet(X_65,join(X_65,X_65))))]]) ).
cnf(refute_0_1012,plain,
meet(X_65,join(X_65,X_65)) = join(X_65,X_65),
inference(resolve,[$cnf( $equal(join(X_65,X_65),meet(X_65,join(X_65,X_65))) )],[refute_0_1010,refute_0_1011]) ).
cnf(refute_0_1013,plain,
meet(X_62,join(X_62,X_62)) = join(X_62,X_62),
inference(subst,[],[refute_0_1012:[bind(X_65,$fot(X_62))]]) ).
cnf(refute_0_1014,plain,
complement(meet(X_62,join(X_62,X_62))) = complement(meet(X_62,join(X_62,X_62))),
introduced(tautology,[refl,[$fot(complement(meet(X_62,join(X_62,X_62))))]]) ).
cnf(refute_0_1015,plain,
( complement(meet(X_62,join(X_62,X_62))) != complement(meet(X_62,join(X_62,X_62)))
| meet(X_62,join(X_62,X_62)) != join(X_62,X_62)
| complement(meet(X_62,join(X_62,X_62))) = complement(join(X_62,X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_62,join(X_62,X_62))),complement(meet(X_62,join(X_62,X_62)))) ),[1,0],$fot(join(X_62,X_62))]]) ).
cnf(refute_0_1016,plain,
( meet(X_62,join(X_62,X_62)) != join(X_62,X_62)
| complement(meet(X_62,join(X_62,X_62))) = complement(join(X_62,X_62)) ),
inference(resolve,[$cnf( $equal(complement(meet(X_62,join(X_62,X_62))),complement(meet(X_62,join(X_62,X_62)))) )],[refute_0_1014,refute_0_1015]) ).
cnf(refute_0_1017,plain,
complement(meet(X_62,join(X_62,X_62))) = complement(join(X_62,X_62)),
inference(resolve,[$cnf( $equal(meet(X_62,join(X_62,X_62)),join(X_62,X_62)) )],[refute_0_1013,refute_0_1016]) ).
cnf(refute_0_1018,plain,
( complement(join(X_62,X_62)) != complement(X_62)
| complement(meet(X_62,join(X_62,X_62))) != complement(join(X_62,X_62))
| complement(meet(X_62,join(X_62,X_62))) = complement(X_62) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(meet(X_62,join(X_62,X_62))))),bind(Y,$fot(complement(join(X_62,X_62)))),bind(Z,$fot(complement(X_62)))]]) ).
cnf(refute_0_1019,plain,
( complement(join(X_62,X_62)) != complement(X_62)
| complement(meet(X_62,join(X_62,X_62))) = complement(X_62) ),
inference(resolve,[$cnf( $equal(complement(meet(X_62,join(X_62,X_62))),complement(join(X_62,X_62))) )],[refute_0_1017,refute_0_1018]) ).
cnf(refute_0_1020,plain,
complement(meet(X_62,join(X_62,X_62))) = complement(X_62),
inference(resolve,[$cnf( $equal(complement(join(X_62,X_62)),complement(X_62)) )],[refute_0_815,refute_0_1019]) ).
cnf(refute_0_1021,plain,
join(complement(X_62),complement(join(X_62,X_62))) = complement(meet(X_62,join(X_62,X_62))),
inference(subst,[],[refute_0_318:[bind(X0,$fot(X_62)),bind(X1,$fot(join(X_62,X_62)))]]) ).
cnf(refute_0_1022,plain,
( complement(meet(X_62,join(X_62,X_62))) != complement(X_62)
| join(complement(X_62),complement(join(X_62,X_62))) != complement(meet(X_62,join(X_62,X_62)))
| join(complement(X_62),complement(join(X_62,X_62))) = complement(X_62) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_62),complement(join(X_62,X_62))))),bind(Y,$fot(complement(meet(X_62,join(X_62,X_62))))),bind(Z,$fot(complement(X_62)))]]) ).
cnf(refute_0_1023,plain,
( complement(meet(X_62,join(X_62,X_62))) != complement(X_62)
| join(complement(X_62),complement(join(X_62,X_62))) = complement(X_62) ),
inference(resolve,[$cnf( $equal(join(complement(X_62),complement(join(X_62,X_62))),complement(meet(X_62,join(X_62,X_62)))) )],[refute_0_1021,refute_0_1022]) ).
cnf(refute_0_1024,plain,
join(complement(X_62),complement(join(X_62,X_62))) = complement(X_62),
inference(resolve,[$cnf( $equal(complement(meet(X_62,join(X_62,X_62))),complement(X_62)) )],[refute_0_1020,refute_0_1023]) ).
cnf(refute_0_1025,plain,
complement(join(complement(X_62),complement(join(X_62,X_62)))) = complement(join(complement(X_62),complement(join(X_62,X_62)))),
introduced(tautology,[refl,[$fot(complement(join(complement(X_62),complement(join(X_62,X_62)))))]]) ).
cnf(refute_0_1026,plain,
( complement(join(complement(X_62),complement(join(X_62,X_62)))) != complement(join(complement(X_62),complement(join(X_62,X_62))))
| join(complement(X_62),complement(join(X_62,X_62))) != complement(X_62)
| complement(join(complement(X_62),complement(join(X_62,X_62)))) = complement(complement(X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_62),complement(join(X_62,X_62)))),complement(join(complement(X_62),complement(join(X_62,X_62))))) ),[1,0],$fot(complement(X_62))]]) ).
cnf(refute_0_1027,plain,
( join(complement(X_62),complement(join(X_62,X_62))) != complement(X_62)
| complement(join(complement(X_62),complement(join(X_62,X_62)))) = complement(complement(X_62)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_62),complement(join(X_62,X_62)))),complement(join(complement(X_62),complement(join(X_62,X_62))))) )],[refute_0_1025,refute_0_1026]) ).
cnf(refute_0_1028,plain,
complement(join(complement(X_62),complement(join(X_62,X_62)))) = complement(complement(X_62)),
inference(resolve,[$cnf( $equal(join(complement(X_62),complement(join(X_62,X_62))),complement(X_62)) )],[refute_0_1024,refute_0_1027]) ).
cnf(refute_0_1029,plain,
( complement(complement(X_62)) != X_62
| complement(join(complement(X_62),complement(join(X_62,X_62)))) != complement(complement(X_62))
| complement(join(complement(X_62),complement(join(X_62,X_62)))) = X_62 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(complement(X_62),complement(join(X_62,X_62)))))),bind(Y,$fot(complement(complement(X_62)))),bind(Z,$fot(X_62))]]) ).
cnf(refute_0_1030,plain,
( complement(complement(X_62)) != X_62
| complement(join(complement(X_62),complement(join(X_62,X_62)))) = X_62 ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_62),complement(join(X_62,X_62)))),complement(complement(X_62))) )],[refute_0_1028,refute_0_1029]) ).
cnf(refute_0_1031,plain,
complement(join(complement(X_62),complement(join(X_62,X_62)))) = X_62,
inference(resolve,[$cnf( $equal(complement(complement(X_62)),X_62) )],[refute_0_979,refute_0_1030]) ).
cnf(refute_0_1032,plain,
join(zero,complement(join(complement(X_62),complement(join(X_62,X_62))))) = complement(join(complement(X_62),complement(join(X_62,X_62)))),
inference(subst,[],[refute_0_565:[bind(X_39,$fot(complement(join(complement(X_62),complement(join(X_62,X_62))))))]]) ).
cnf(refute_0_1033,plain,
( complement(join(complement(X_62),complement(join(X_62,X_62)))) != X_62
| join(zero,complement(join(complement(X_62),complement(join(X_62,X_62))))) != complement(join(complement(X_62),complement(join(X_62,X_62))))
| join(zero,complement(join(complement(X_62),complement(join(X_62,X_62))))) = X_62 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(zero,complement(join(complement(X_62),complement(join(X_62,X_62))))))),bind(Y,$fot(complement(join(complement(X_62),complement(join(X_62,X_62)))))),bind(Z,$fot(X_62))]]) ).
cnf(refute_0_1034,plain,
( complement(join(complement(X_62),complement(join(X_62,X_62)))) != X_62
| join(zero,complement(join(complement(X_62),complement(join(X_62,X_62))))) = X_62 ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_62),complement(join(X_62,X_62))))),complement(join(complement(X_62),complement(join(X_62,X_62))))) )],[refute_0_1032,refute_0_1033]) ).
cnf(refute_0_1035,plain,
join(zero,complement(join(complement(X_62),complement(join(X_62,X_62))))) = X_62,
inference(resolve,[$cnf( $equal(complement(join(complement(X_62),complement(join(X_62,X_62)))),X_62) )],[refute_0_1031,refute_0_1034]) ).
cnf(refute_0_1036,plain,
( join(X_62,X_62) != join(zero,complement(join(complement(X_62),complement(join(X_62,X_62)))))
| join(zero,complement(join(complement(X_62),complement(join(X_62,X_62))))) != X_62
| join(X_62,X_62) = X_62 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_62,X_62),X_62) ),[0],$fot(join(zero,complement(join(complement(X_62),complement(join(X_62,X_62))))))]]) ).
cnf(refute_0_1037,plain,
( join(X_62,X_62) != join(zero,complement(join(complement(X_62),complement(join(X_62,X_62)))))
| join(X_62,X_62) = X_62 ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_62),complement(join(X_62,X_62))))),X_62) )],[refute_0_1035,refute_0_1036]) ).
cnf(refute_0_1038,plain,
join(X_62,X_62) = X_62,
inference(resolve,[$cnf( $equal(join(X_62,X_62),join(zero,complement(join(complement(X_62),complement(join(X_62,X_62)))))) )],[refute_0_978,refute_0_1037]) ).
cnf(refute_0_1039,plain,
join(join(X_81,X_82),join(X_81,X_82)) = join(X_81,X_82),
inference(subst,[],[refute_0_1038:[bind(X_62,$fot(join(X_81,X_82)))]]) ).
cnf(refute_0_1040,plain,
( join(join(X_81,X_82),join(X_81,X_82)) != join(X_81,X_82)
| join(join(X_81,X_82),join(X_81,X_82)) != join(join(join(X_81,X_82),X_81),X_82)
| join(X_81,X_82) = join(join(join(X_81,X_82),X_81),X_82) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_81,X_82),join(X_81,X_82)),join(join(join(X_81,X_82),X_81),X_82)) ),[0],$fot(join(X_81,X_82))]]) ).
cnf(refute_0_1041,plain,
( join(join(X_81,X_82),join(X_81,X_82)) != join(join(join(X_81,X_82),X_81),X_82)
| join(X_81,X_82) = join(join(join(X_81,X_82),X_81),X_82) ),
inference(resolve,[$cnf( $equal(join(join(X_81,X_82),join(X_81,X_82)),join(X_81,X_82)) )],[refute_0_1039,refute_0_1040]) ).
cnf(refute_0_1042,plain,
join(X_81,X_82) = join(join(join(X_81,X_82),X_81),X_82),
inference(resolve,[$cnf( $equal(join(join(X_81,X_82),join(X_81,X_82)),join(join(join(X_81,X_82),X_81),X_82)) )],[refute_0_957,refute_0_1041]) ).
cnf(refute_0_1043,plain,
join(X_82,join(join(X_81,X_82),X_81)) = join(X_82,join(X_81,join(X_81,X_82))),
inference(subst,[],[refute_0_914:[bind(X_80,$fot(X_82)),bind(X_81,$fot(join(X_81,X_82))),bind(X_82,$fot(X_81))]]) ).
cnf(refute_0_1044,plain,
( join(X0,join(X_80,X_81)) != join(X_80,join(X_81,X0))
| join(X_80,join(X_81,X0)) = join(X0,join(X_80,X_81)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,join(X_80,X_81)))),bind(Y,$fot(join(X_80,join(X_81,X0))))]]) ).
cnf(refute_0_1045,plain,
join(X_80,join(X_81,X0)) = join(X0,join(X_80,X_81)),
inference(resolve,[$cnf( $equal(join(X0,join(X_80,X_81)),join(X_80,join(X_81,X0))) )],[refute_0_922,refute_0_1044]) ).
cnf(refute_0_1046,plain,
join(join(X_81,X_82),join(X_81,X_82)) = join(X_82,join(join(X_81,X_82),X_81)),
inference(subst,[],[refute_0_1045:[bind(X0,$fot(X_82)),bind(X_80,$fot(join(X_81,X_82)))]]) ).
cnf(refute_0_1047,plain,
( join(X_82,join(join(X_81,X_82),X_81)) != join(X_82,join(X_81,join(X_81,X_82)))
| join(join(X_81,X_82),join(X_81,X_82)) != join(X_82,join(join(X_81,X_82),X_81))
| join(join(X_81,X_82),join(X_81,X_82)) = join(X_82,join(X_81,join(X_81,X_82))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_81,X_82),join(X_81,X_82)))),bind(Y,$fot(join(X_82,join(join(X_81,X_82),X_81)))),bind(Z,$fot(join(X_82,join(X_81,join(X_81,X_82)))))]]) ).
cnf(refute_0_1048,plain,
( join(X_82,join(join(X_81,X_82),X_81)) != join(X_82,join(X_81,join(X_81,X_82)))
| join(join(X_81,X_82),join(X_81,X_82)) = join(X_82,join(X_81,join(X_81,X_82))) ),
inference(resolve,[$cnf( $equal(join(join(X_81,X_82),join(X_81,X_82)),join(X_82,join(join(X_81,X_82),X_81))) )],[refute_0_1046,refute_0_1047]) ).
cnf(refute_0_1049,plain,
join(join(X_81,X_82),join(X_81,X_82)) = join(X_82,join(X_81,join(X_81,X_82))),
inference(resolve,[$cnf( $equal(join(X_82,join(join(X_81,X_82),X_81)),join(X_82,join(X_81,join(X_81,X_82)))) )],[refute_0_1043,refute_0_1048]) ).
cnf(refute_0_1050,plain,
join(join(join(X_81,X_82),X_81),X_82) = join(join(X_81,X_82),join(X_81,X_82)),
inference(subst,[],[refute_0_262:[bind(X0,$fot(join(X_81,X_82))),bind(X1,$fot(X_81)),bind(X2,$fot(X_82))]]) ).
cnf(refute_0_1051,plain,
( join(join(X_81,X_82),join(X_81,X_82)) != join(X_82,join(X_81,join(X_81,X_82)))
| join(join(join(X_81,X_82),X_81),X_82) != join(join(X_81,X_82),join(X_81,X_82))
| join(join(join(X_81,X_82),X_81),X_82) = join(X_82,join(X_81,join(X_81,X_82))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(join(X_81,X_82),X_81),X_82))),bind(Y,$fot(join(join(X_81,X_82),join(X_81,X_82)))),bind(Z,$fot(join(X_82,join(X_81,join(X_81,X_82)))))]]) ).
cnf(refute_0_1052,plain,
( join(join(X_81,X_82),join(X_81,X_82)) != join(X_82,join(X_81,join(X_81,X_82)))
| join(join(join(X_81,X_82),X_81),X_82) = join(X_82,join(X_81,join(X_81,X_82))) ),
inference(resolve,[$cnf( $equal(join(join(join(X_81,X_82),X_81),X_82),join(join(X_81,X_82),join(X_81,X_82))) )],[refute_0_1050,refute_0_1051]) ).
cnf(refute_0_1053,plain,
join(join(join(X_81,X_82),X_81),X_82) = join(X_82,join(X_81,join(X_81,X_82))),
inference(resolve,[$cnf( $equal(join(join(X_81,X_82),join(X_81,X_82)),join(X_82,join(X_81,join(X_81,X_82)))) )],[refute_0_1049,refute_0_1052]) ).
cnf(refute_0_1054,plain,
( join(X_81,X_82) != join(join(join(X_81,X_82),X_81),X_82)
| join(join(join(X_81,X_82),X_81),X_82) != join(X_82,join(X_81,join(X_81,X_82)))
| join(X_81,X_82) = join(X_82,join(X_81,join(X_81,X_82))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_81,X_82),join(X_82,join(X_81,join(X_81,X_82)))) ),[0],$fot(join(join(join(X_81,X_82),X_81),X_82))]]) ).
cnf(refute_0_1055,plain,
( join(X_81,X_82) != join(join(join(X_81,X_82),X_81),X_82)
| join(X_81,X_82) = join(X_82,join(X_81,join(X_81,X_82))) ),
inference(resolve,[$cnf( $equal(join(join(join(X_81,X_82),X_81),X_82),join(X_82,join(X_81,join(X_81,X_82)))) )],[refute_0_1053,refute_0_1054]) ).
cnf(refute_0_1056,plain,
join(X_81,X_82) = join(X_82,join(X_81,join(X_81,X_82))),
inference(resolve,[$cnf( $equal(join(X_81,X_82),join(join(join(X_81,X_82),X_81),X_82)) )],[refute_0_1042,refute_0_1055]) ).
cnf(refute_0_1057,plain,
join(X_81,join(X_81,X_82)) = join(join(X_81,X_81),X_82),
inference(subst,[],[refute_0_260:[bind(X0,$fot(X_81)),bind(X1,$fot(X_81)),bind(X2,$fot(X_82))]]) ).
cnf(refute_0_1058,plain,
join(X_81,X_81) = X_81,
inference(subst,[],[refute_0_1038:[bind(X_62,$fot(X_81))]]) ).
cnf(refute_0_1059,plain,
( join(X_81,X_81) != X_81
| join(X_81,join(X_81,X_82)) != join(join(X_81,X_81),X_82)
| join(X_81,join(X_81,X_82)) = join(X_81,X_82) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_81,join(X_81,X_82)),join(join(X_81,X_81),X_82)) ),[1,0],$fot(X_81)]]) ).
cnf(refute_0_1060,plain,
( join(X_81,join(X_81,X_82)) != join(join(X_81,X_81),X_82)
| join(X_81,join(X_81,X_82)) = join(X_81,X_82) ),
inference(resolve,[$cnf( $equal(join(X_81,X_81),X_81) )],[refute_0_1058,refute_0_1059]) ).
cnf(refute_0_1061,plain,
join(X_81,join(X_81,X_82)) = join(X_81,X_82),
inference(resolve,[$cnf( $equal(join(X_81,join(X_81,X_82)),join(join(X_81,X_81),X_82)) )],[refute_0_1057,refute_0_1060]) ).
cnf(refute_0_1062,plain,
join(X_82,join(X_81,join(X_81,X_82))) = join(X_82,join(X_81,join(X_81,X_82))),
introduced(tautology,[refl,[$fot(join(X_82,join(X_81,join(X_81,X_82))))]]) ).
cnf(refute_0_1063,plain,
( join(X_81,join(X_81,X_82)) != join(X_81,X_82)
| join(X_82,join(X_81,join(X_81,X_82))) != join(X_82,join(X_81,join(X_81,X_82)))
| join(X_82,join(X_81,join(X_81,X_82))) = join(X_82,join(X_81,X_82)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_82,join(X_81,join(X_81,X_82))),join(X_82,join(X_81,join(X_81,X_82)))) ),[1,1],$fot(join(X_81,X_82))]]) ).
cnf(refute_0_1064,plain,
( join(X_81,join(X_81,X_82)) != join(X_81,X_82)
| join(X_82,join(X_81,join(X_81,X_82))) = join(X_82,join(X_81,X_82)) ),
inference(resolve,[$cnf( $equal(join(X_82,join(X_81,join(X_81,X_82))),join(X_82,join(X_81,join(X_81,X_82)))) )],[refute_0_1062,refute_0_1063]) ).
cnf(refute_0_1065,plain,
join(X_82,join(X_81,join(X_81,X_82))) = join(X_82,join(X_81,X_82)),
inference(resolve,[$cnf( $equal(join(X_81,join(X_81,X_82)),join(X_81,X_82)) )],[refute_0_1061,refute_0_1064]) ).
cnf(refute_0_1066,plain,
( join(X_81,X_82) != join(X_82,join(X_81,join(X_81,X_82)))
| join(X_82,join(X_81,join(X_81,X_82))) != join(X_82,join(X_81,X_82))
| join(X_81,X_82) = join(X_82,join(X_81,X_82)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_81,X_82),join(X_82,join(X_81,X_82))) ),[0],$fot(join(X_82,join(X_81,join(X_81,X_82))))]]) ).
cnf(refute_0_1067,plain,
( join(X_81,X_82) != join(X_82,join(X_81,join(X_81,X_82)))
| join(X_81,X_82) = join(X_82,join(X_81,X_82)) ),
inference(resolve,[$cnf( $equal(join(X_82,join(X_81,join(X_81,X_82))),join(X_82,join(X_81,X_82))) )],[refute_0_1065,refute_0_1066]) ).
cnf(refute_0_1068,plain,
join(X_81,X_82) = join(X_82,join(X_81,X_82)),
inference(resolve,[$cnf( $equal(join(X_81,X_82),join(X_82,join(X_81,join(X_81,X_82)))) )],[refute_0_1056,refute_0_1067]) ).
cnf(refute_0_1069,plain,
join(meet(X_72,X_73),meet(complement(X_72),X_73)) = join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73))),
inference(subst,[],[refute_0_1068:[bind(X_81,$fot(meet(X_72,X_73))),bind(X_82,$fot(meet(complement(X_72),X_73)))]]) ).
cnf(refute_0_1070,plain,
( X_73 != join(meet(X_72,X_73),meet(complement(X_72),X_73))
| join(meet(X_72,X_73),meet(complement(X_72),X_73)) = X_73 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_73)),bind(Y,$fot(join(meet(X_72,X_73),meet(complement(X_72),X_73))))]]) ).
cnf(refute_0_1071,plain,
join(meet(X_72,X_73),meet(complement(X_72),X_73)) = X_73,
inference(resolve,[$cnf( $equal(X_73,join(meet(X_72,X_73),meet(complement(X_72),X_73))) )],[refute_0_767,refute_0_1070]) ).
cnf(refute_0_1072,plain,
( join(meet(X_72,X_73),meet(complement(X_72),X_73)) != X_73
| join(meet(X_72,X_73),meet(complement(X_72),X_73)) != join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73)))
| X_73 = join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_72,X_73),meet(complement(X_72),X_73)),join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73)))) ),[0],$fot(X_73)]]) ).
cnf(refute_0_1073,plain,
( join(meet(X_72,X_73),meet(complement(X_72),X_73)) != join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73)))
| X_73 = join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73))) ),
inference(resolve,[$cnf( $equal(join(meet(X_72,X_73),meet(complement(X_72),X_73)),X_73) )],[refute_0_1071,refute_0_1072]) ).
cnf(refute_0_1074,plain,
X_73 = join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73))),
inference(resolve,[$cnf( $equal(join(meet(X_72,X_73),meet(complement(X_72),X_73)),join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73)))) )],[refute_0_1069,refute_0_1073]) ).
cnf(refute_0_1075,plain,
join(meet(complement(X_72),X_73),X_73) = join(X_73,meet(complement(X_72),X_73)),
inference(subst,[],[refute_0_15:[bind(X0,$fot(X_73)),bind(X1,$fot(meet(complement(X_72),X_73)))]]) ).
cnf(refute_0_1076,plain,
join(meet(complement(X_72),X_73),join(X_130,meet(X_72,X_73))) = join(X_130,join(meet(X_72,X_73),meet(complement(X_72),X_73))),
inference(subst,[],[refute_0_922:[bind(X0,$fot(meet(complement(X_72),X_73))),bind(X_80,$fot(X_130)),bind(X_81,$fot(meet(X_72,X_73)))]]) ).
cnf(refute_0_1077,plain,
( join(meet(X_72,X_73),meet(complement(X_72),X_73)) != X_73
| join(meet(complement(X_72),X_73),join(X_130,meet(X_72,X_73))) != join(X_130,join(meet(X_72,X_73),meet(complement(X_72),X_73)))
| join(meet(complement(X_72),X_73),join(X_130,meet(X_72,X_73))) = join(X_130,X_73) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(X_72),X_73),join(X_130,meet(X_72,X_73))),join(X_130,join(meet(X_72,X_73),meet(complement(X_72),X_73)))) ),[1,1],$fot(X_73)]]) ).
cnf(refute_0_1078,plain,
( join(meet(complement(X_72),X_73),join(X_130,meet(X_72,X_73))) != join(X_130,join(meet(X_72,X_73),meet(complement(X_72),X_73)))
| join(meet(complement(X_72),X_73),join(X_130,meet(X_72,X_73))) = join(X_130,X_73) ),
inference(resolve,[$cnf( $equal(join(meet(X_72,X_73),meet(complement(X_72),X_73)),X_73) )],[refute_0_1071,refute_0_1077]) ).
cnf(refute_0_1079,plain,
join(meet(complement(X_72),X_73),join(X_130,meet(X_72,X_73))) = join(X_130,X_73),
inference(resolve,[$cnf( $equal(join(meet(complement(X_72),X_73),join(X_130,meet(X_72,X_73))),join(X_130,join(meet(X_72,X_73),meet(complement(X_72),X_73)))) )],[refute_0_1076,refute_0_1078]) ).
cnf(refute_0_1080,plain,
join(X_131,X_130) = join(X_130,X_131),
inference(subst,[],[refute_0_13:[bind(X0,$fot(X_131)),bind(X1,$fot(X_130))]]) ).
cnf(refute_0_1081,plain,
( join(X_131,X_130) != join(X_130,X_131)
| join(X_130,X_131) = join(X_131,X_130) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_131,X_130))),bind(Y,$fot(join(X_130,X_131)))]]) ).
cnf(refute_0_1082,plain,
join(X_130,X_131) = join(X_131,X_130),
inference(resolve,[$cnf( $equal(join(X_131,X_130),join(X_130,X_131)) )],[refute_0_1080,refute_0_1081]) ).
cnf(refute_0_1083,plain,
( join(X_129,join(X_130,X_131)) != join(X_130,join(X_131,X_129))
| join(X_130,X_131) != join(X_131,X_130)
| join(X_129,join(X_131,X_130)) = join(X_130,join(X_131,X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_129,join(X_130,X_131)),join(X_130,join(X_131,X_129))) ),[0,1],$fot(join(X_131,X_130))]]) ).
cnf(refute_0_1084,plain,
( join(X_129,join(X_130,X_131)) != join(X_130,join(X_131,X_129))
| join(X_129,join(X_131,X_130)) = join(X_130,join(X_131,X_129)) ),
inference(resolve,[$cnf( $equal(join(X_130,X_131),join(X_131,X_130)) )],[refute_0_1082,refute_0_1083]) ).
cnf(refute_0_1085,plain,
join(X_129,join(X_131,X_130)) = join(X_130,join(X_131,X_129)),
inference(resolve,[$cnf( $equal(join(X_129,join(X_130,X_131)),join(X_130,join(X_131,X_129))) )],[refute_0_923,refute_0_1084]) ).
cnf(refute_0_1086,plain,
( join(X_129,join(X_131,X_130)) != join(X_130,join(X_131,X_129))
| join(X_130,join(X_131,X_129)) = join(X_129,join(X_131,X_130)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_129,join(X_131,X_130)))),bind(Y,$fot(join(X_130,join(X_131,X_129))))]]) ).
cnf(refute_0_1087,plain,
join(X_130,join(X_131,X_129)) = join(X_129,join(X_131,X_130)),
inference(resolve,[$cnf( $equal(join(X_129,join(X_131,X_130)),join(X_130,join(X_131,X_129))) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
join(meet(complement(X_72),X_73),join(X_130,meet(X_72,X_73))) = join(meet(X_72,X_73),join(X_130,meet(complement(X_72),X_73))),
inference(subst,[],[refute_0_1087:[bind(X_129,$fot(meet(X_72,X_73))),bind(X_130,$fot(meet(complement(X_72),X_73))),bind(X_131,$fot(X_130))]]) ).
cnf(refute_0_1089,plain,
( join(meet(complement(X_72),X_73),join(X_130,meet(X_72,X_73))) != join(X_130,X_73)
| join(meet(complement(X_72),X_73),join(X_130,meet(X_72,X_73))) != join(meet(X_72,X_73),join(X_130,meet(complement(X_72),X_73)))
| join(meet(X_72,X_73),join(X_130,meet(complement(X_72),X_73))) = join(X_130,X_73) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(X_72),X_73),join(X_130,meet(X_72,X_73))),join(X_130,X_73)) ),[0],$fot(join(meet(X_72,X_73),join(X_130,meet(complement(X_72),X_73))))]]) ).
cnf(refute_0_1090,plain,
( join(meet(complement(X_72),X_73),join(X_130,meet(X_72,X_73))) != join(X_130,X_73)
| join(meet(X_72,X_73),join(X_130,meet(complement(X_72),X_73))) = join(X_130,X_73) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_72),X_73),join(X_130,meet(X_72,X_73))),join(meet(X_72,X_73),join(X_130,meet(complement(X_72),X_73)))) )],[refute_0_1088,refute_0_1089]) ).
cnf(refute_0_1091,plain,
join(meet(X_72,X_73),join(X_130,meet(complement(X_72),X_73))) = join(X_130,X_73),
inference(resolve,[$cnf( $equal(join(meet(complement(X_72),X_73),join(X_130,meet(X_72,X_73))),join(X_130,X_73)) )],[refute_0_1079,refute_0_1090]) ).
cnf(refute_0_1092,plain,
join(meet(X_72,X_73),join(meet(complement(X_72),X_73),meet(complement(X_72),X_73))) = join(meet(complement(X_72),X_73),X_73),
inference(subst,[],[refute_0_1091:[bind(X_130,$fot(meet(complement(X_72),X_73)))]]) ).
cnf(refute_0_1093,plain,
( join(meet(X_72,X_73),join(meet(complement(X_72),X_73),meet(complement(X_72),X_73))) != join(meet(complement(X_72),X_73),X_73)
| join(meet(complement(X_72),X_73),X_73) != join(X_73,meet(complement(X_72),X_73))
| join(meet(X_72,X_73),join(meet(complement(X_72),X_73),meet(complement(X_72),X_73))) = join(X_73,meet(complement(X_72),X_73)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_72,X_73),join(meet(complement(X_72),X_73),meet(complement(X_72),X_73))))),bind(Y,$fot(join(meet(complement(X_72),X_73),X_73))),bind(Z,$fot(join(X_73,meet(complement(X_72),X_73))))]]) ).
cnf(refute_0_1094,plain,
( join(meet(complement(X_72),X_73),X_73) != join(X_73,meet(complement(X_72),X_73))
| join(meet(X_72,X_73),join(meet(complement(X_72),X_73),meet(complement(X_72),X_73))) = join(X_73,meet(complement(X_72),X_73)) ),
inference(resolve,[$cnf( $equal(join(meet(X_72,X_73),join(meet(complement(X_72),X_73),meet(complement(X_72),X_73))),join(meet(complement(X_72),X_73),X_73)) )],[refute_0_1092,refute_0_1093]) ).
cnf(refute_0_1095,plain,
join(meet(X_72,X_73),join(meet(complement(X_72),X_73),meet(complement(X_72),X_73))) = join(X_73,meet(complement(X_72),X_73)),
inference(resolve,[$cnf( $equal(join(meet(complement(X_72),X_73),X_73),join(X_73,meet(complement(X_72),X_73))) )],[refute_0_1075,refute_0_1094]) ).
cnf(refute_0_1096,plain,
join(X0,join(X1,join(X_179,X1))) = join(join(X0,X1),join(X_179,X1)),
inference(subst,[],[refute_0_260:[bind(X2,$fot(join(X_179,X1)))]]) ).
cnf(refute_0_1097,plain,
join(X_179,X1) = join(X1,join(X_179,X1)),
inference(subst,[],[refute_0_1068:[bind(X_81,$fot(X_179)),bind(X_82,$fot(X1))]]) ).
cnf(refute_0_1098,plain,
( join(X_179,X1) != join(X1,join(X_179,X1))
| join(X1,join(X_179,X1)) = join(X_179,X1) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_179,X1))),bind(Y,$fot(join(X1,join(X_179,X1))))]]) ).
cnf(refute_0_1099,plain,
join(X1,join(X_179,X1)) = join(X_179,X1),
inference(resolve,[$cnf( $equal(join(X_179,X1),join(X1,join(X_179,X1))) )],[refute_0_1097,refute_0_1098]) ).
cnf(refute_0_1100,plain,
( join(X0,join(X1,join(X_179,X1))) != join(join(X0,X1),join(X_179,X1))
| join(X1,join(X_179,X1)) != join(X_179,X1)
| join(X0,join(X_179,X1)) = join(join(X0,X1),join(X_179,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(X_179,X1))),join(join(X0,X1),join(X_179,X1))) ),[0,1],$fot(join(X_179,X1))]]) ).
cnf(refute_0_1101,plain,
( join(X0,join(X1,join(X_179,X1))) != join(join(X0,X1),join(X_179,X1))
| join(X0,join(X_179,X1)) = join(join(X0,X1),join(X_179,X1)) ),
inference(resolve,[$cnf( $equal(join(X1,join(X_179,X1)),join(X_179,X1)) )],[refute_0_1099,refute_0_1100]) ).
cnf(refute_0_1102,plain,
join(X0,join(X_179,X1)) = join(join(X0,X1),join(X_179,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_179,X1))),join(join(X0,X1),join(X_179,X1))) )],[refute_0_1096,refute_0_1101]) ).
cnf(refute_0_1103,plain,
join(join(X_179,X_81),join(X_80,X_81)) = join(X_80,join(X_81,join(X_179,X_81))),
inference(subst,[],[refute_0_922:[bind(X0,$fot(join(X_179,X_81)))]]) ).
cnf(refute_0_1104,plain,
join(X_179,X_81) = join(X_81,join(X_179,X_81)),
inference(subst,[],[refute_0_1068:[bind(X_81,$fot(X_179)),bind(X_82,$fot(X_81))]]) ).
cnf(refute_0_1105,plain,
( join(X_179,X_81) != join(X_81,join(X_179,X_81))
| join(X_81,join(X_179,X_81)) = join(X_179,X_81) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_179,X_81))),bind(Y,$fot(join(X_81,join(X_179,X_81))))]]) ).
cnf(refute_0_1106,plain,
join(X_81,join(X_179,X_81)) = join(X_179,X_81),
inference(resolve,[$cnf( $equal(join(X_179,X_81),join(X_81,join(X_179,X_81))) )],[refute_0_1104,refute_0_1105]) ).
cnf(refute_0_1107,plain,
( join(X_81,join(X_179,X_81)) != join(X_179,X_81)
| join(join(X_179,X_81),join(X_80,X_81)) != join(X_80,join(X_81,join(X_179,X_81)))
| join(join(X_179,X_81),join(X_80,X_81)) = join(X_80,join(X_179,X_81)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_179,X_81),join(X_80,X_81)),join(X_80,join(X_81,join(X_179,X_81)))) ),[1,1],$fot(join(X_179,X_81))]]) ).
cnf(refute_0_1108,plain,
( join(join(X_179,X_81),join(X_80,X_81)) != join(X_80,join(X_81,join(X_179,X_81)))
| join(join(X_179,X_81),join(X_80,X_81)) = join(X_80,join(X_179,X_81)) ),
inference(resolve,[$cnf( $equal(join(X_81,join(X_179,X_81)),join(X_179,X_81)) )],[refute_0_1106,refute_0_1107]) ).
cnf(refute_0_1109,plain,
join(join(X_179,X_81),join(X_80,X_81)) = join(X_80,join(X_179,X_81)),
inference(resolve,[$cnf( $equal(join(join(X_179,X_81),join(X_80,X_81)),join(X_80,join(X_81,join(X_179,X_81)))) )],[refute_0_1103,refute_0_1108]) ).
cnf(refute_0_1110,plain,
join(join(X_179,X_81),join(X_80,X_81)) = join(X_81,join(X_80,join(X_179,X_81))),
inference(subst,[],[refute_0_1087:[bind(X_129,$fot(X_81)),bind(X_130,$fot(join(X_179,X_81))),bind(X_131,$fot(X_80))]]) ).
cnf(refute_0_1111,plain,
( join(join(X_179,X_81),join(X_80,X_81)) != join(X_80,join(X_179,X_81))
| join(join(X_179,X_81),join(X_80,X_81)) != join(X_81,join(X_80,join(X_179,X_81)))
| join(X_81,join(X_80,join(X_179,X_81))) = join(X_80,join(X_179,X_81)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_179,X_81),join(X_80,X_81)),join(X_80,join(X_179,X_81))) ),[0],$fot(join(X_81,join(X_80,join(X_179,X_81))))]]) ).
cnf(refute_0_1112,plain,
( join(join(X_179,X_81),join(X_80,X_81)) != join(X_80,join(X_179,X_81))
| join(X_81,join(X_80,join(X_179,X_81))) = join(X_80,join(X_179,X_81)) ),
inference(resolve,[$cnf( $equal(join(join(X_179,X_81),join(X_80,X_81)),join(X_81,join(X_80,join(X_179,X_81)))) )],[refute_0_1110,refute_0_1111]) ).
cnf(refute_0_1113,plain,
join(X_81,join(X_80,join(X_179,X_81))) = join(X_80,join(X_179,X_81)),
inference(resolve,[$cnf( $equal(join(join(X_179,X_81),join(X_80,X_81)),join(X_80,join(X_179,X_81))) )],[refute_0_1109,refute_0_1112]) ).
cnf(refute_0_1114,plain,
join(X1,join(X_179,join(X0,X1))) = join(X_179,join(X0,X1)),
inference(subst,[],[refute_0_1113:[bind(X_179,$fot(X0)),bind(X_80,$fot(X_179)),bind(X_81,$fot(X1))]]) ).
cnf(refute_0_1115,plain,
join(join(X0,X1),join(X_179,X1)) = join(X1,join(X_179,join(X0,X1))),
inference(subst,[],[refute_0_1087:[bind(X_129,$fot(X1)),bind(X_130,$fot(join(X0,X1))),bind(X_131,$fot(X_179))]]) ).
cnf(refute_0_1116,plain,
( join(X1,join(X_179,join(X0,X1))) != join(X_179,join(X0,X1))
| join(join(X0,X1),join(X_179,X1)) != join(X1,join(X_179,join(X0,X1)))
| join(join(X0,X1),join(X_179,X1)) = join(X_179,join(X0,X1)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X0,X1),join(X_179,X1)))),bind(Y,$fot(join(X1,join(X_179,join(X0,X1))))),bind(Z,$fot(join(X_179,join(X0,X1))))]]) ).
cnf(refute_0_1117,plain,
( join(X1,join(X_179,join(X0,X1))) != join(X_179,join(X0,X1))
| join(join(X0,X1),join(X_179,X1)) = join(X_179,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_179,X1)),join(X1,join(X_179,join(X0,X1)))) )],[refute_0_1115,refute_0_1116]) ).
cnf(refute_0_1118,plain,
join(join(X0,X1),join(X_179,X1)) = join(X_179,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X1,join(X_179,join(X0,X1))),join(X_179,join(X0,X1))) )],[refute_0_1114,refute_0_1117]) ).
cnf(refute_0_1119,plain,
( join(X0,join(X_179,X1)) != join(join(X0,X1),join(X_179,X1))
| join(join(X0,X1),join(X_179,X1)) != join(X_179,join(X0,X1))
| join(X0,join(X_179,X1)) = join(X_179,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_179,X1)),join(X_179,join(X0,X1))) ),[0],$fot(join(join(X0,X1),join(X_179,X1)))]]) ).
cnf(refute_0_1120,plain,
( join(X0,join(X_179,X1)) != join(join(X0,X1),join(X_179,X1))
| join(X0,join(X_179,X1)) = join(X_179,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_179,X1)),join(X_179,join(X0,X1))) )],[refute_0_1118,refute_0_1119]) ).
cnf(refute_0_1121,plain,
join(X0,join(X_179,X1)) = join(X_179,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X_179,X1)),join(join(X0,X1),join(X_179,X1))) )],[refute_0_1102,refute_0_1120]) ).
cnf(refute_0_1122,plain,
( join(X0,join(X_179,X1)) != join(X_179,join(X0,X1))
| join(X_179,join(X0,X1)) = join(X0,join(X_179,X1)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,join(X_179,X1)))),bind(Y,$fot(join(X_179,join(X0,X1))))]]) ).
cnf(refute_0_1123,plain,
join(X_179,join(X0,X1)) = join(X0,join(X_179,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X_179,X1)),join(X_179,join(X0,X1))) )],[refute_0_1121,refute_0_1122]) ).
cnf(refute_0_1124,plain,
join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73))) = join(meet(X_72,X_73),join(meet(complement(X_72),X_73),meet(complement(X_72),X_73))),
inference(subst,[],[refute_0_1123:[bind(X0,$fot(meet(X_72,X_73))),bind(X1,$fot(meet(complement(X_72),X_73))),bind(X_179,$fot(meet(complement(X_72),X_73)))]]) ).
cnf(refute_0_1125,plain,
( join(meet(X_72,X_73),join(meet(complement(X_72),X_73),meet(complement(X_72),X_73))) != join(X_73,meet(complement(X_72),X_73))
| join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73))) != join(meet(X_72,X_73),join(meet(complement(X_72),X_73),meet(complement(X_72),X_73)))
| join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73))) = join(X_73,meet(complement(X_72),X_73)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73))))),bind(Y,$fot(join(meet(X_72,X_73),join(meet(complement(X_72),X_73),meet(complement(X_72),X_73))))),bind(Z,$fot(join(X_73,meet(complement(X_72),X_73))))]]) ).
cnf(refute_0_1126,plain,
( join(meet(X_72,X_73),join(meet(complement(X_72),X_73),meet(complement(X_72),X_73))) != join(X_73,meet(complement(X_72),X_73))
| join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73))) = join(X_73,meet(complement(X_72),X_73)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73))),join(meet(X_72,X_73),join(meet(complement(X_72),X_73),meet(complement(X_72),X_73)))) )],[refute_0_1124,refute_0_1125]) ).
cnf(refute_0_1127,plain,
join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73))) = join(X_73,meet(complement(X_72),X_73)),
inference(resolve,[$cnf( $equal(join(meet(X_72,X_73),join(meet(complement(X_72),X_73),meet(complement(X_72),X_73))),join(X_73,meet(complement(X_72),X_73))) )],[refute_0_1095,refute_0_1126]) ).
cnf(refute_0_1128,plain,
( X_73 != join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73)))
| join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73))) != join(X_73,meet(complement(X_72),X_73))
| X_73 = join(X_73,meet(complement(X_72),X_73)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_73,join(X_73,meet(complement(X_72),X_73))) ),[0],$fot(join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73))))]]) ).
cnf(refute_0_1129,plain,
( X_73 != join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73)))
| X_73 = join(X_73,meet(complement(X_72),X_73)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73))),join(X_73,meet(complement(X_72),X_73))) )],[refute_0_1127,refute_0_1128]) ).
cnf(refute_0_1130,plain,
X_73 = join(X_73,meet(complement(X_72),X_73)),
inference(resolve,[$cnf( $equal(X_73,join(meet(complement(X_72),X_73),join(meet(X_72,X_73),meet(complement(X_72),X_73)))) )],[refute_0_1074,refute_0_1129]) ).
cnf(refute_0_1131,plain,
X_191 = join(X_191,meet(complement(complement(X_39)),X_191)),
inference(subst,[],[refute_0_1130:[bind(X_72,$fot(complement(X_39))),bind(X_73,$fot(X_191))]]) ).
cnf(refute_0_1132,plain,
( X_191 != join(X_191,meet(complement(complement(X_39)),X_191))
| complement(complement(X_39)) != X_39
| X_191 = join(X_191,meet(X_39,X_191)) ),
introduced(tautology,[equality,[$cnf( $equal(X_191,join(X_191,meet(complement(complement(X_39)),X_191))) ),[1,1,0],$fot(X_39)]]) ).
cnf(refute_0_1133,plain,
( X_191 != join(X_191,meet(complement(complement(X_39)),X_191))
| X_191 = join(X_191,meet(X_39,X_191)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_39)),X_39) )],[refute_0_340,refute_0_1132]) ).
cnf(refute_0_1134,plain,
X_191 = join(X_191,meet(X_39,X_191)),
inference(resolve,[$cnf( $equal(X_191,join(X_191,meet(complement(complement(X_39)),X_191))) )],[refute_0_1131,refute_0_1133]) ).
cnf(refute_0_1135,plain,
( X_191 != join(X_191,meet(X_39,X_191))
| join(X_191,meet(X_39,X_191)) = X_191 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_191)),bind(Y,$fot(join(X_191,meet(X_39,X_191))))]]) ).
cnf(refute_0_1136,plain,
join(X_191,meet(X_39,X_191)) = X_191,
inference(resolve,[$cnf( $equal(X_191,join(X_191,meet(X_39,X_191))) )],[refute_0_1134,refute_0_1135]) ).
cnf(refute_0_1137,plain,
join(X_166,meet(X_165,X_166)) = X_166,
inference(subst,[],[refute_0_1136:[bind(X_191,$fot(X_166)),bind(X_39,$fot(X_165))]]) ).
cnf(refute_0_1138,plain,
join(complement(X_165),join(X_166,meet(X_165,X_166))) = join(complement(X_165),join(X_166,meet(X_165,X_166))),
introduced(tautology,[refl,[$fot(join(complement(X_165),join(X_166,meet(X_165,X_166))))]]) ).
cnf(refute_0_1139,plain,
( join(X_166,meet(X_165,X_166)) != X_166
| join(complement(X_165),join(X_166,meet(X_165,X_166))) != join(complement(X_165),join(X_166,meet(X_165,X_166)))
| join(complement(X_165),join(X_166,meet(X_165,X_166))) = join(complement(X_165),X_166) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_165),join(X_166,meet(X_165,X_166))),join(complement(X_165),join(X_166,meet(X_165,X_166)))) ),[1,1],$fot(X_166)]]) ).
cnf(refute_0_1140,plain,
( join(X_166,meet(X_165,X_166)) != X_166
| join(complement(X_165),join(X_166,meet(X_165,X_166))) = join(complement(X_165),X_166) ),
inference(resolve,[$cnf( $equal(join(complement(X_165),join(X_166,meet(X_165,X_166))),join(complement(X_165),join(X_166,meet(X_165,X_166)))) )],[refute_0_1138,refute_0_1139]) ).
cnf(refute_0_1141,plain,
join(complement(X_165),join(X_166,meet(X_165,X_166))) = join(complement(X_165),X_166),
inference(resolve,[$cnf( $equal(join(X_166,meet(X_165,X_166)),X_166) )],[refute_0_1137,refute_0_1140]) ).
cnf(refute_0_1142,plain,
meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) = meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))),
introduced(tautology,[refl,[$fot(meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))))]]) ).
cnf(refute_0_1143,plain,
( join(complement(X_165),join(X_166,meet(X_165,X_166))) != join(complement(X_165),X_166)
| meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) != meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166))))
| meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) = meet(X_165,join(complement(X_165),X_166)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))),meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166))))) ),[1,1],$fot(join(complement(X_165),X_166))]]) ).
cnf(refute_0_1144,plain,
( join(complement(X_165),join(X_166,meet(X_165,X_166))) != join(complement(X_165),X_166)
| meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) = meet(X_165,join(complement(X_165),X_166)) ),
inference(resolve,[$cnf( $equal(meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))),meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166))))) )],[refute_0_1142,refute_0_1143]) ).
cnf(refute_0_1145,plain,
meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) = meet(X_165,join(complement(X_165),X_166)),
inference(resolve,[$cnf( $equal(join(complement(X_165),join(X_166,meet(X_165,X_166))),join(complement(X_165),X_166)) )],[refute_0_1141,refute_0_1144]) ).
cnf(refute_0_1146,plain,
( meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) != meet(X_165,X_166)
| meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) != meet(X_165,join(complement(X_165),X_166))
| meet(X_165,join(complement(X_165),X_166)) = meet(X_165,X_166) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))),meet(X_165,X_166)) ),[0],$fot(meet(X_165,join(complement(X_165),X_166)))]]) ).
cnf(refute_0_1147,plain,
( meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))) != meet(X_165,X_166)
| meet(X_165,join(complement(X_165),X_166)) = meet(X_165,X_166) ),
inference(resolve,[$cnf( $equal(meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))),meet(X_165,join(complement(X_165),X_166))) )],[refute_0_1145,refute_0_1146]) ).
cnf(refute_0_1148,plain,
meet(X_165,join(complement(X_165),X_166)) = meet(X_165,X_166),
inference(resolve,[$cnf( $equal(meet(X_165,join(complement(X_165),join(X_166,meet(X_165,X_166)))),meet(X_165,X_166)) )],[refute_0_956,refute_0_1147]) ).
cnf(refute_0_1149,plain,
meet(X_72,join(complement(X_72),X_117)) = meet(X_72,X_117),
inference(subst,[],[refute_0_1148:[bind(X_165,$fot(X_72)),bind(X_166,$fot(X_117))]]) ).
cnf(refute_0_1150,plain,
join(complement(X_72),meet(X_72,join(complement(X_72),X_117))) = join(complement(X_72),meet(X_72,join(complement(X_72),X_117))),
introduced(tautology,[refl,[$fot(join(complement(X_72),meet(X_72,join(complement(X_72),X_117))))]]) ).
cnf(refute_0_1151,plain,
( join(complement(X_72),meet(X_72,join(complement(X_72),X_117))) != join(complement(X_72),meet(X_72,join(complement(X_72),X_117)))
| meet(X_72,join(complement(X_72),X_117)) != meet(X_72,X_117)
| join(complement(X_72),meet(X_72,join(complement(X_72),X_117))) = join(complement(X_72),meet(X_72,X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_72),meet(X_72,join(complement(X_72),X_117))),join(complement(X_72),meet(X_72,join(complement(X_72),X_117)))) ),[1,1],$fot(meet(X_72,X_117))]]) ).
cnf(refute_0_1152,plain,
( meet(X_72,join(complement(X_72),X_117)) != meet(X_72,X_117)
| join(complement(X_72),meet(X_72,join(complement(X_72),X_117))) = join(complement(X_72),meet(X_72,X_117)) ),
inference(resolve,[$cnf( $equal(join(complement(X_72),meet(X_72,join(complement(X_72),X_117))),join(complement(X_72),meet(X_72,join(complement(X_72),X_117)))) )],[refute_0_1150,refute_0_1151]) ).
cnf(refute_0_1153,plain,
join(complement(X_72),meet(X_72,join(complement(X_72),X_117))) = join(complement(X_72),meet(X_72,X_117)),
inference(resolve,[$cnf( $equal(meet(X_72,join(complement(X_72),X_117)),meet(X_72,X_117)) )],[refute_0_1149,refute_0_1152]) ).
cnf(refute_0_1154,plain,
( join(complement(X_72),X_117) != join(complement(X_72),meet(X_72,join(complement(X_72),X_117)))
| join(complement(X_72),meet(X_72,join(complement(X_72),X_117))) != join(complement(X_72),meet(X_72,X_117))
| join(complement(X_72),X_117) = join(complement(X_72),meet(X_72,X_117)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_72),X_117),join(complement(X_72),meet(X_72,X_117))) ),[0],$fot(join(complement(X_72),meet(X_72,join(complement(X_72),X_117))))]]) ).
cnf(refute_0_1155,plain,
( join(complement(X_72),X_117) != join(complement(X_72),meet(X_72,join(complement(X_72),X_117)))
| join(complement(X_72),X_117) = join(complement(X_72),meet(X_72,X_117)) ),
inference(resolve,[$cnf( $equal(join(complement(X_72),meet(X_72,join(complement(X_72),X_117))),join(complement(X_72),meet(X_72,X_117))) )],[refute_0_1153,refute_0_1154]) ).
cnf(refute_0_1156,plain,
join(complement(X_72),X_117) = join(complement(X_72),meet(X_72,X_117)),
inference(resolve,[$cnf( $equal(join(complement(X_72),X_117),join(complement(X_72),meet(X_72,join(complement(X_72),X_117)))) )],[refute_0_888,refute_0_1155]) ).
cnf(refute_0_1157,plain,
( join(complement(X_72),X_117) != join(complement(X_72),meet(X_72,X_117))
| join(complement(X_72),meet(X_72,X_117)) = join(complement(X_72),X_117) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(complement(X_72),X_117))),bind(Y,$fot(join(complement(X_72),meet(X_72,X_117))))]]) ).
cnf(refute_0_1158,plain,
join(complement(X_72),meet(X_72,X_117)) = join(complement(X_72),X_117),
inference(resolve,[$cnf( $equal(join(complement(X_72),X_117),join(complement(X_72),meet(X_72,X_117))) )],[refute_0_1156,refute_0_1157]) ).
cnf(refute_0_1159,plain,
join(complement(X_103),meet(X_103,complement(X_39))) = join(complement(X_103),complement(X_39)),
inference(subst,[],[refute_0_1158:[bind(X_117,$fot(complement(X_39))),bind(X_72,$fot(X_103))]]) ).
cnf(refute_0_1160,plain,
( join(complement(X_103),complement(X_39)) != complement(meet(X_103,X_39))
| join(complement(X_103),meet(X_103,complement(X_39))) != join(complement(X_103),complement(X_39))
| join(complement(X_103),meet(X_103,complement(X_39))) = complement(meet(X_103,X_39)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_103),meet(X_103,complement(X_39))))),bind(Y,$fot(join(complement(X_103),complement(X_39)))),bind(Z,$fot(complement(meet(X_103,X_39))))]]) ).
cnf(refute_0_1161,plain,
( join(complement(X_103),complement(X_39)) != complement(meet(X_103,X_39))
| join(complement(X_103),meet(X_103,complement(X_39))) = complement(meet(X_103,X_39)) ),
inference(resolve,[$cnf( $equal(join(complement(X_103),meet(X_103,complement(X_39))),join(complement(X_103),complement(X_39))) )],[refute_0_1159,refute_0_1160]) ).
cnf(refute_0_1162,plain,
join(complement(X_103),meet(X_103,complement(X_39))) = complement(meet(X_103,X_39)),
inference(resolve,[$cnf( $equal(join(complement(X_103),complement(X_39)),complement(meet(X_103,X_39))) )],[refute_0_753,refute_0_1161]) ).
cnf(refute_0_1163,plain,
join(X_39,join(complement(X_103),meet(X_103,complement(X_39)))) = join(X_39,join(complement(X_103),meet(X_103,complement(X_39)))),
introduced(tautology,[refl,[$fot(join(X_39,join(complement(X_103),meet(X_103,complement(X_39)))))]]) ).
cnf(refute_0_1164,plain,
( join(X_39,join(complement(X_103),meet(X_103,complement(X_39)))) != join(X_39,join(complement(X_103),meet(X_103,complement(X_39))))
| join(complement(X_103),meet(X_103,complement(X_39))) != complement(meet(X_103,X_39))
| join(X_39,join(complement(X_103),meet(X_103,complement(X_39)))) = join(X_39,complement(meet(X_103,X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_39,join(complement(X_103),meet(X_103,complement(X_39)))),join(X_39,join(complement(X_103),meet(X_103,complement(X_39))))) ),[1,1],$fot(complement(meet(X_103,X_39)))]]) ).
cnf(refute_0_1165,plain,
( join(complement(X_103),meet(X_103,complement(X_39))) != complement(meet(X_103,X_39))
| join(X_39,join(complement(X_103),meet(X_103,complement(X_39)))) = join(X_39,complement(meet(X_103,X_39))) ),
inference(resolve,[$cnf( $equal(join(X_39,join(complement(X_103),meet(X_103,complement(X_39)))),join(X_39,join(complement(X_103),meet(X_103,complement(X_39))))) )],[refute_0_1163,refute_0_1164]) ).
cnf(refute_0_1166,plain,
join(X_39,join(complement(X_103),meet(X_103,complement(X_39)))) = join(X_39,complement(meet(X_103,X_39))),
inference(resolve,[$cnf( $equal(join(complement(X_103),meet(X_103,complement(X_39))),complement(meet(X_103,X_39))) )],[refute_0_1162,refute_0_1165]) ).
cnf(refute_0_1167,plain,
( join(X_39,join(complement(X_103),meet(X_103,complement(X_39)))) != join(X_39,complement(meet(X_103,X_39)))
| join(X_39,join(complement(X_103),meet(X_103,complement(X_39)))) != top
| join(X_39,complement(meet(X_103,X_39))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_39,join(complement(X_103),meet(X_103,complement(X_39)))),top) ),[0],$fot(join(X_39,complement(meet(X_103,X_39))))]]) ).
cnf(refute_0_1168,plain,
( join(X_39,join(complement(X_103),meet(X_103,complement(X_39)))) != top
| join(X_39,complement(meet(X_103,X_39))) = top ),
inference(resolve,[$cnf( $equal(join(X_39,join(complement(X_103),meet(X_103,complement(X_39)))),join(X_39,complement(meet(X_103,X_39)))) )],[refute_0_1166,refute_0_1167]) ).
cnf(refute_0_1169,plain,
join(X_39,complement(meet(X_103,X_39))) = top,
inference(resolve,[$cnf( $equal(join(X_39,join(complement(X_103),meet(X_103,complement(X_39)))),top) )],[refute_0_752,refute_0_1168]) ).
cnf(refute_0_1170,plain,
join(X_137,complement(meet(X_194,X_137))) = top,
inference(subst,[],[refute_0_1169:[bind(X_103,$fot(X_194)),bind(X_39,$fot(X_137))]]) ).
cnf(refute_0_1171,plain,
( join(X_137,complement(meet(X_194,X_137))) != top
| meet(complement(X_137),meet(X_194,X_137)) != complement(join(X_137,complement(meet(X_194,X_137))))
| meet(complement(X_137),meet(X_194,X_137)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_137),meet(X_194,X_137)),complement(join(X_137,complement(meet(X_194,X_137))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1172,plain,
( meet(complement(X_137),meet(X_194,X_137)) != complement(join(X_137,complement(meet(X_194,X_137))))
| meet(complement(X_137),meet(X_194,X_137)) = complement(top) ),
inference(resolve,[$cnf( $equal(join(X_137,complement(meet(X_194,X_137))),top) )],[refute_0_1170,refute_0_1171]) ).
cnf(refute_0_1173,plain,
meet(complement(X_137),meet(X_194,X_137)) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(X_137),meet(X_194,X_137)),complement(join(X_137,complement(meet(X_194,X_137))))) )],[refute_0_748,refute_0_1172]) ).
cnf(refute_0_1174,plain,
( complement(top) != zero
| meet(complement(X_137),meet(X_194,X_137)) != complement(top)
| meet(complement(X_137),meet(X_194,X_137)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_137),meet(X_194,X_137)),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1175,plain,
( meet(complement(X_137),meet(X_194,X_137)) != complement(top)
| meet(complement(X_137),meet(X_194,X_137)) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_154,refute_0_1174]) ).
cnf(refute_0_1176,plain,
meet(complement(X_137),meet(X_194,X_137)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(X_137),meet(X_194,X_137)),complement(top)) )],[refute_0_1173,refute_0_1175]) ).
cnf(refute_0_1177,plain,
meet(complement(composition(top,X_194)),meet(X_194,composition(top,X_194))) = zero,
inference(subst,[],[refute_0_1176:[bind(X_137,$fot(composition(top,X_194)))]]) ).
cnf(refute_0_1178,plain,
X_39 = meet(X_39,join(X_39,composition(X_239,X_39))),
inference(subst,[],[refute_0_878:[bind(X_94,$fot(composition(X_239,X_39)))]]) ).
cnf(refute_0_1179,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_1180,plain,
composition(join(converse(one),X1),X2) = join(composition(converse(one),X2),composition(X1,X2)),
inference(subst,[],[refute_0_1179:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_1181,plain,
X2 = composition(converse(one),X2),
inference(subst,[],[refute_0_58:[bind(X_28,$fot(X2))]]) ).
cnf(refute_0_1182,plain,
( X2 != composition(converse(one),X2)
| composition(converse(one),X2) = X2 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X2)),bind(Y,$fot(composition(converse(one),X2)))]]) ).
cnf(refute_0_1183,plain,
composition(converse(one),X2) = X2,
inference(resolve,[$cnf( $equal(X2,composition(converse(one),X2)) )],[refute_0_1181,refute_0_1182]) ).
cnf(refute_0_1184,plain,
( composition(converse(one),X2) != X2
| composition(join(converse(one),X1),X2) != join(composition(converse(one),X2),composition(X1,X2))
| composition(join(converse(one),X1),X2) = join(X2,composition(X1,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(one),X1),X2),join(composition(converse(one),X2),composition(X1,X2))) ),[1,0],$fot(X2)]]) ).
cnf(refute_0_1185,plain,
( composition(join(converse(one),X1),X2) != join(composition(converse(one),X2),composition(X1,X2))
| composition(join(converse(one),X1),X2) = join(X2,composition(X1,X2)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X2),X2) )],[refute_0_1183,refute_0_1184]) ).
cnf(refute_0_1186,plain,
composition(join(converse(one),X1),X2) = join(X2,composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(join(converse(one),X1),X2),join(composition(converse(one),X2),composition(X1,X2))) )],[refute_0_1180,refute_0_1185]) ).
cnf(refute_0_1187,plain,
join(converse(one),X1) = join(converse(one),X1),
introduced(tautology,[refl,[$fot(join(converse(one),X1))]]) ).
cnf(refute_0_1188,plain,
( converse(one) != one
| join(converse(one),X1) != join(converse(one),X1)
| join(converse(one),X1) = join(one,X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X1),join(converse(one),X1)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1189,plain,
( converse(one) != one
| join(converse(one),X1) = join(one,X1) ),
inference(resolve,[$cnf( $equal(join(converse(one),X1),join(converse(one),X1)) )],[refute_0_1187,refute_0_1188]) ).
cnf(refute_0_1190,plain,
join(converse(one),X1) = join(one,X1),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_66,refute_0_1189]) ).
cnf(refute_0_1191,plain,
composition(join(converse(one),X1),X2) = composition(join(converse(one),X1),X2),
introduced(tautology,[refl,[$fot(composition(join(converse(one),X1),X2))]]) ).
cnf(refute_0_1192,plain,
( composition(join(converse(one),X1),X2) != composition(join(converse(one),X1),X2)
| join(converse(one),X1) != join(one,X1)
| composition(join(converse(one),X1),X2) = composition(join(one,X1),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(one),X1),X2),composition(join(converse(one),X1),X2)) ),[1,0],$fot(join(one,X1))]]) ).
cnf(refute_0_1193,plain,
( join(converse(one),X1) != join(one,X1)
| composition(join(converse(one),X1),X2) = composition(join(one,X1),X2) ),
inference(resolve,[$cnf( $equal(composition(join(converse(one),X1),X2),composition(join(converse(one),X1),X2)) )],[refute_0_1191,refute_0_1192]) ).
cnf(refute_0_1194,plain,
composition(join(converse(one),X1),X2) = composition(join(one,X1),X2),
inference(resolve,[$cnf( $equal(join(converse(one),X1),join(one,X1)) )],[refute_0_1190,refute_0_1193]) ).
cnf(refute_0_1195,plain,
( composition(join(converse(one),X1),X2) != composition(join(one,X1),X2)
| composition(join(converse(one),X1),X2) != join(X2,composition(X1,X2))
| composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(one),X1),X2),join(X2,composition(X1,X2))) ),[0],$fot(composition(join(one,X1),X2))]]) ).
cnf(refute_0_1196,plain,
( composition(join(converse(one),X1),X2) != join(X2,composition(X1,X2))
| composition(join(one,X1),X2) = join(X2,composition(X1,X2)) ),
inference(resolve,[$cnf( $equal(composition(join(converse(one),X1),X2),composition(join(one,X1),X2)) )],[refute_0_1194,refute_0_1195]) ).
cnf(refute_0_1197,plain,
composition(join(one,X1),X2) = join(X2,composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(join(converse(one),X1),X2),join(X2,composition(X1,X2))) )],[refute_0_1186,refute_0_1196]) ).
cnf(refute_0_1198,plain,
composition(join(one,X_239),X_39) = join(X_39,composition(X_239,X_39)),
inference(subst,[],[refute_0_1197:[bind(X1,$fot(X_239)),bind(X2,$fot(X_39))]]) ).
cnf(refute_0_1199,plain,
( composition(join(one,X_239),X_39) != join(X_39,composition(X_239,X_39))
| join(X_39,composition(X_239,X_39)) = composition(join(one,X_239),X_39) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(one,X_239),X_39))),bind(Y,$fot(join(X_39,composition(X_239,X_39))))]]) ).
cnf(refute_0_1200,plain,
join(X_39,composition(X_239,X_39)) = composition(join(one,X_239),X_39),
inference(resolve,[$cnf( $equal(composition(join(one,X_239),X_39),join(X_39,composition(X_239,X_39))) )],[refute_0_1198,refute_0_1199]) ).
cnf(refute_0_1201,plain,
( X_39 != meet(X_39,join(X_39,composition(X_239,X_39)))
| join(X_39,composition(X_239,X_39)) != composition(join(one,X_239),X_39)
| X_39 = meet(X_39,composition(join(one,X_239),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(X_39,meet(X_39,join(X_39,composition(X_239,X_39)))) ),[1,1],$fot(composition(join(one,X_239),X_39))]]) ).
cnf(refute_0_1202,plain,
( X_39 != meet(X_39,join(X_39,composition(X_239,X_39)))
| X_39 = meet(X_39,composition(join(one,X_239),X_39)) ),
inference(resolve,[$cnf( $equal(join(X_39,composition(X_239,X_39)),composition(join(one,X_239),X_39)) )],[refute_0_1200,refute_0_1201]) ).
cnf(refute_0_1203,plain,
X_39 = meet(X_39,composition(join(one,X_239),X_39)),
inference(resolve,[$cnf( $equal(X_39,meet(X_39,join(X_39,composition(X_239,X_39)))) )],[refute_0_1178,refute_0_1202]) ).
cnf(refute_0_1204,plain,
X_242 = meet(X_242,composition(join(one,complement(meet(X_103,one))),X_242)),
inference(subst,[],[refute_0_1203:[bind(X_239,$fot(complement(meet(X_103,one)))),bind(X_39,$fot(X_242))]]) ).
cnf(refute_0_1205,plain,
join(one,complement(meet(X_103,one))) = top,
inference(subst,[],[refute_0_1169:[bind(X_39,$fot(one))]]) ).
cnf(refute_0_1206,plain,
( X_242 != meet(X_242,composition(join(one,complement(meet(X_103,one))),X_242))
| join(one,complement(meet(X_103,one))) != top
| X_242 = meet(X_242,composition(top,X_242)) ),
introduced(tautology,[equality,[$cnf( $equal(X_242,meet(X_242,composition(join(one,complement(meet(X_103,one))),X_242))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1207,plain,
( X_242 != meet(X_242,composition(join(one,complement(meet(X_103,one))),X_242))
| X_242 = meet(X_242,composition(top,X_242)) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(X_103,one))),top) )],[refute_0_1205,refute_0_1206]) ).
cnf(refute_0_1208,plain,
X_242 = meet(X_242,composition(top,X_242)),
inference(resolve,[$cnf( $equal(X_242,meet(X_242,composition(join(one,complement(meet(X_103,one))),X_242))) )],[refute_0_1204,refute_0_1207]) ).
cnf(refute_0_1209,plain,
X_194 = meet(X_194,composition(top,X_194)),
inference(subst,[],[refute_0_1208:[bind(X_242,$fot(X_194))]]) ).
cnf(refute_0_1210,plain,
( X_194 != meet(X_194,composition(top,X_194))
| meet(X_194,composition(top,X_194)) = X_194 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_194)),bind(Y,$fot(meet(X_194,composition(top,X_194))))]]) ).
cnf(refute_0_1211,plain,
meet(X_194,composition(top,X_194)) = X_194,
inference(resolve,[$cnf( $equal(X_194,meet(X_194,composition(top,X_194))) )],[refute_0_1209,refute_0_1210]) ).
cnf(refute_0_1212,plain,
( meet(X_194,composition(top,X_194)) != X_194
| meet(complement(composition(top,X_194)),meet(X_194,composition(top,X_194))) != zero
| meet(complement(composition(top,X_194)),X_194) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(top,X_194)),meet(X_194,composition(top,X_194))),zero) ),[0,1],$fot(X_194)]]) ).
cnf(refute_0_1213,plain,
( meet(complement(composition(top,X_194)),meet(X_194,composition(top,X_194))) != zero
| meet(complement(composition(top,X_194)),X_194) = zero ),
inference(resolve,[$cnf( $equal(meet(X_194,composition(top,X_194)),X_194) )],[refute_0_1211,refute_0_1212]) ).
cnf(refute_0_1214,plain,
meet(complement(composition(top,X_194)),X_194) = zero,
inference(resolve,[$cnf( $equal(meet(complement(composition(top,X_194)),meet(X_194,composition(top,X_194))),zero) )],[refute_0_1177,refute_0_1213]) ).
cnf(refute_0_1215,plain,
meet(complement(composition(top,X_194)),X_194) = meet(X_194,complement(composition(top,X_194))),
inference(subst,[],[refute_0_191:[bind(X_10,$fot(X_194)),bind(X_11,$fot(complement(composition(top,X_194))))]]) ).
cnf(refute_0_1216,plain,
( meet(complement(composition(top,X_194)),X_194) != meet(X_194,complement(composition(top,X_194)))
| meet(complement(composition(top,X_194)),X_194) != zero
| meet(X_194,complement(composition(top,X_194))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(top,X_194)),X_194),zero) ),[0],$fot(meet(X_194,complement(composition(top,X_194))))]]) ).
cnf(refute_0_1217,plain,
( meet(complement(composition(top,X_194)),X_194) != zero
| meet(X_194,complement(composition(top,X_194))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(composition(top,X_194)),X_194),meet(X_194,complement(composition(top,X_194)))) )],[refute_0_1215,refute_0_1216]) ).
cnf(refute_0_1218,plain,
meet(X_194,complement(composition(top,X_194))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(composition(top,X_194)),X_194),zero) )],[refute_0_1214,refute_0_1217]) ).
cnf(refute_0_1219,plain,
meet(complement(X_39),complement(composition(top,complement(X_39)))) = zero,
inference(subst,[],[refute_0_1218:[bind(X_194,$fot(complement(X_39)))]]) ).
cnf(refute_0_1220,plain,
( join(complement(complement(composition(top,complement(X_39)))),join(X_39,meet(complement(X_39),complement(composition(top,complement(X_39)))))) != top
| meet(complement(X_39),complement(composition(top,complement(X_39)))) != zero
| join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(top,complement(X_39)))),join(X_39,meet(complement(X_39),complement(composition(top,complement(X_39)))))),top) ),[0,1,1],$fot(zero)]]) ).
cnf(refute_0_1221,plain,
( join(complement(complement(composition(top,complement(X_39)))),join(X_39,meet(complement(X_39),complement(composition(top,complement(X_39)))))) != top
| join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)) = top ),
inference(resolve,[$cnf( $equal(meet(complement(X_39),complement(composition(top,complement(X_39)))),zero) )],[refute_0_1219,refute_0_1220]) ).
cnf(refute_0_1222,plain,
join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)) = top,
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,complement(X_39)))),join(X_39,meet(complement(X_39),complement(composition(top,complement(X_39)))))),top) )],[refute_0_747,refute_0_1221]) ).
cnf(refute_0_1223,plain,
complement(complement(composition(top,complement(X_39)))) = composition(top,complement(X_39)),
inference(subst,[],[refute_0_340:[bind(X_39,$fot(composition(top,complement(X_39))))]]) ).
cnf(refute_0_1224,plain,
join(zero,complement(complement(composition(top,complement(X_39))))) = complement(complement(composition(top,complement(X_39)))),
inference(subst,[],[refute_0_565:[bind(X_39,$fot(complement(complement(composition(top,complement(X_39))))))]]) ).
cnf(refute_0_1225,plain,
( complement(complement(composition(top,complement(X_39)))) != composition(top,complement(X_39))
| join(zero,complement(complement(composition(top,complement(X_39))))) != complement(complement(composition(top,complement(X_39))))
| join(zero,complement(complement(composition(top,complement(X_39))))) = composition(top,complement(X_39)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(zero,complement(complement(composition(top,complement(X_39))))))),bind(Y,$fot(complement(complement(composition(top,complement(X_39)))))),bind(Z,$fot(composition(top,complement(X_39))))]]) ).
cnf(refute_0_1226,plain,
( complement(complement(composition(top,complement(X_39)))) != composition(top,complement(X_39))
| join(zero,complement(complement(composition(top,complement(X_39))))) = composition(top,complement(X_39)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(composition(top,complement(X_39))))),complement(complement(composition(top,complement(X_39))))) )],[refute_0_1224,refute_0_1225]) ).
cnf(refute_0_1227,plain,
join(zero,complement(complement(composition(top,complement(X_39))))) = composition(top,complement(X_39)),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,complement(X_39)))),composition(top,complement(X_39))) )],[refute_0_1223,refute_0_1226]) ).
cnf(refute_0_1228,plain,
join(X_39,join(zero,complement(complement(composition(top,complement(X_39)))))) = join(X_39,join(zero,complement(complement(composition(top,complement(X_39)))))),
introduced(tautology,[refl,[$fot(join(X_39,join(zero,complement(complement(composition(top,complement(X_39)))))))]]) ).
cnf(refute_0_1229,plain,
( join(X_39,join(zero,complement(complement(composition(top,complement(X_39)))))) != join(X_39,join(zero,complement(complement(composition(top,complement(X_39))))))
| join(zero,complement(complement(composition(top,complement(X_39))))) != composition(top,complement(X_39))
| join(X_39,join(zero,complement(complement(composition(top,complement(X_39)))))) = join(X_39,composition(top,complement(X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_39,join(zero,complement(complement(composition(top,complement(X_39)))))),join(X_39,join(zero,complement(complement(composition(top,complement(X_39))))))) ),[1,1],$fot(composition(top,complement(X_39)))]]) ).
cnf(refute_0_1230,plain,
( join(zero,complement(complement(composition(top,complement(X_39))))) != composition(top,complement(X_39))
| join(X_39,join(zero,complement(complement(composition(top,complement(X_39)))))) = join(X_39,composition(top,complement(X_39))) ),
inference(resolve,[$cnf( $equal(join(X_39,join(zero,complement(complement(composition(top,complement(X_39)))))),join(X_39,join(zero,complement(complement(composition(top,complement(X_39))))))) )],[refute_0_1228,refute_0_1229]) ).
cnf(refute_0_1231,plain,
join(X_39,join(zero,complement(complement(composition(top,complement(X_39)))))) = join(X_39,composition(top,complement(X_39))),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(composition(top,complement(X_39))))),composition(top,complement(X_39))) )],[refute_0_1227,refute_0_1230]) ).
cnf(refute_0_1232,plain,
join(X_39,join(complement(complement(composition(top,complement(X_39)))),zero)) = join(X_39,join(zero,complement(complement(composition(top,complement(X_39)))))),
inference(subst,[],[refute_0_914:[bind(X_80,$fot(X_39)),bind(X_81,$fot(complement(complement(composition(top,complement(X_39)))))),bind(X_82,$fot(zero))]]) ).
cnf(refute_0_1233,plain,
join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)) = join(X_39,join(complement(complement(composition(top,complement(X_39)))),zero)),
inference(subst,[],[refute_0_1123:[bind(X0,$fot(X_39)),bind(X1,$fot(zero)),bind(X_179,$fot(complement(complement(composition(top,complement(X_39))))))]]) ).
cnf(refute_0_1234,plain,
( join(X_39,join(complement(complement(composition(top,complement(X_39)))),zero)) != join(X_39,join(zero,complement(complement(composition(top,complement(X_39))))))
| join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)) != join(X_39,join(complement(complement(composition(top,complement(X_39)))),zero))
| join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)) = join(X_39,join(zero,complement(complement(composition(top,complement(X_39)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)))),bind(Y,$fot(join(X_39,join(complement(complement(composition(top,complement(X_39)))),zero)))),bind(Z,$fot(join(X_39,join(zero,complement(complement(composition(top,complement(X_39))))))))]]) ).
cnf(refute_0_1235,plain,
( join(X_39,join(complement(complement(composition(top,complement(X_39)))),zero)) != join(X_39,join(zero,complement(complement(composition(top,complement(X_39))))))
| join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)) = join(X_39,join(zero,complement(complement(composition(top,complement(X_39)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)),join(X_39,join(complement(complement(composition(top,complement(X_39)))),zero))) )],[refute_0_1233,refute_0_1234]) ).
cnf(refute_0_1236,plain,
join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)) = join(X_39,join(zero,complement(complement(composition(top,complement(X_39)))))),
inference(resolve,[$cnf( $equal(join(X_39,join(complement(complement(composition(top,complement(X_39)))),zero)),join(X_39,join(zero,complement(complement(composition(top,complement(X_39))))))) )],[refute_0_1232,refute_0_1235]) ).
cnf(refute_0_1237,plain,
( join(X_39,join(zero,complement(complement(composition(top,complement(X_39)))))) != join(X_39,composition(top,complement(X_39)))
| join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)) != join(X_39,join(zero,complement(complement(composition(top,complement(X_39))))))
| join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)) = join(X_39,composition(top,complement(X_39))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)))),bind(Y,$fot(join(X_39,join(zero,complement(complement(composition(top,complement(X_39)))))))),bind(Z,$fot(join(X_39,composition(top,complement(X_39)))))]]) ).
cnf(refute_0_1238,plain,
( join(X_39,join(zero,complement(complement(composition(top,complement(X_39)))))) != join(X_39,composition(top,complement(X_39)))
| join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)) = join(X_39,composition(top,complement(X_39))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)),join(X_39,join(zero,complement(complement(composition(top,complement(X_39))))))) )],[refute_0_1236,refute_0_1237]) ).
cnf(refute_0_1239,plain,
join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)) = join(X_39,composition(top,complement(X_39))),
inference(resolve,[$cnf( $equal(join(X_39,join(zero,complement(complement(composition(top,complement(X_39)))))),join(X_39,composition(top,complement(X_39)))) )],[refute_0_1231,refute_0_1238]) ).
cnf(refute_0_1240,plain,
( join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)) != join(X_39,composition(top,complement(X_39)))
| join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)) != top
| join(X_39,composition(top,complement(X_39))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)),top) ),[0],$fot(join(X_39,composition(top,complement(X_39))))]]) ).
cnf(refute_0_1241,plain,
( join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)) != top
| join(X_39,composition(top,complement(X_39))) = top ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)),join(X_39,composition(top,complement(X_39)))) )],[refute_0_1239,refute_0_1240]) ).
cnf(refute_0_1242,plain,
join(X_39,composition(top,complement(X_39))) = top,
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,complement(X_39)))),join(X_39,zero)),top) )],[refute_0_1222,refute_0_1241]) ).
cnf(refute_0_1243,plain,
join(converse(X_15),composition(top,complement(converse(X_15)))) = top,
inference(subst,[],[refute_0_1242:[bind(X_39,$fot(converse(X_15)))]]) ).
cnf(refute_0_1244,plain,
( join(converse(X_15),composition(top,complement(converse(X_15)))) != top
| top != join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(join(converse(X_15),composition(top,complement(converse(X_15))))))))
| top = join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(join(converse(X_15),composition(top,complement(converse(X_15))))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_1245,plain,
( top != join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(join(converse(X_15),composition(top,complement(converse(X_15))))))))
| top = join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_15),composition(top,complement(converse(X_15)))),top) )],[refute_0_1243,refute_0_1244]) ).
cnf(refute_0_1246,plain,
top = join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(top)))),
inference(resolve,[$cnf( $equal(top,join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(join(converse(X_15),composition(top,complement(converse(X_15))))))))) )],[refute_0_723,refute_0_1245]) ).
cnf(refute_0_1247,plain,
converse(converse(composition(complement(X_15),top))) = composition(complement(X_15),top),
inference(subst,[],[refute_0_46:[bind(X0,$fot(composition(complement(X_15),top)))]]) ).
cnf(refute_0_1248,plain,
join(zero,converse(composition(complement(X_15),top))) = converse(composition(complement(X_15),top)),
inference(subst,[],[refute_0_565:[bind(X_39,$fot(converse(composition(complement(X_15),top))))]]) ).
cnf(refute_0_1249,plain,
converse(composition(X_4,converse(X0))) = composition(converse(converse(X0)),converse(X_4)),
inference(subst,[],[refute_0_44:[bind(X0,$fot(X_4)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_1250,plain,
( converse(composition(X_4,converse(X0))) != composition(converse(converse(X0)),converse(X_4))
| converse(converse(X0)) != X0
| converse(composition(X_4,converse(X0))) = composition(X0,converse(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_4,converse(X0))),composition(converse(converse(X0)),converse(X_4))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_1251,plain,
( converse(composition(X_4,converse(X0))) != composition(converse(converse(X0)),converse(X_4))
| converse(composition(X_4,converse(X0))) = composition(X0,converse(X_4)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_46,refute_0_1250]) ).
cnf(refute_0_1252,plain,
converse(composition(X_4,converse(X0))) = composition(X0,converse(X_4)),
inference(resolve,[$cnf( $equal(converse(composition(X_4,converse(X0))),composition(converse(converse(X0)),converse(X_4))) )],[refute_0_1249,refute_0_1251]) ).
cnf(refute_0_1253,plain,
converse(composition(X_4,converse(top))) = composition(top,converse(X_4)),
inference(subst,[],[refute_0_1252:[bind(X0,$fot(top))]]) ).
cnf(refute_0_1254,plain,
( converse(composition(X_4,converse(top))) != composition(top,converse(X_4))
| converse(top) != top
| converse(composition(X_4,top)) = composition(top,converse(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_4,converse(top))),composition(top,converse(X_4))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_0_1255,plain,
( converse(composition(X_4,converse(top))) != composition(top,converse(X_4))
| converse(composition(X_4,top)) = composition(top,converse(X_4)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_719,refute_0_1254]) ).
cnf(refute_0_1256,plain,
converse(composition(X_4,top)) = composition(top,converse(X_4)),
inference(resolve,[$cnf( $equal(converse(composition(X_4,converse(top))),composition(top,converse(X_4))) )],[refute_0_1253,refute_0_1255]) ).
cnf(refute_0_1257,plain,
converse(composition(complement(X_205),top)) = composition(top,converse(complement(X_205))),
inference(subst,[],[refute_0_1256:[bind(X_4,$fot(complement(X_205)))]]) ).
cnf(refute_0_1258,plain,
meet(complement(meet(converse(X_204),converse(complement(X_204)))),join(complement(converse(X_204)),converse(complement(X_204)))) = complement(converse(X_204)),
inference(subst,[],[refute_0_333:[bind(X_136,$fot(converse(X_204))),bind(X_137,$fot(converse(complement(X_204))))]]) ).
cnf(refute_0_1259,plain,
meet(complement(complement(converse(complement(X_203)))),meet(converse(X_203),complement(converse(complement(X_203))))) = zero,
inference(subst,[],[refute_0_1176:[bind(X_137,$fot(complement(converse(complement(X_203))))),bind(X_194,$fot(converse(X_203)))]]) ).
cnf(refute_0_1260,plain,
converse(X0) = meet(converse(X0),join(converse(X0),converse(X1))),
inference(subst,[],[refute_0_878:[bind(X_39,$fot(converse(X0))),bind(X_94,$fot(converse(X1)))]]) ).
cnf(refute_0_1261,plain,
( converse(X0) != meet(converse(X0),join(converse(X0),converse(X1)))
| join(converse(X0),converse(X1)) != converse(join(X0,X1))
| converse(X0) = meet(converse(X0),converse(join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(X0),meet(converse(X0),join(converse(X0),converse(X1)))) ),[1,1],$fot(converse(join(X0,X1)))]]) ).
cnf(refute_0_1262,plain,
( converse(X0) != meet(converse(X0),join(converse(X0),converse(X1)))
| converse(X0) = meet(converse(X0),converse(join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(X1)),converse(join(X0,X1))) )],[refute_0_437,refute_0_1261]) ).
cnf(refute_0_1263,plain,
converse(X0) = meet(converse(X0),converse(join(X0,X1))),
inference(resolve,[$cnf( $equal(converse(X0),meet(converse(X0),join(converse(X0),converse(X1)))) )],[refute_0_1260,refute_0_1262]) ).
cnf(refute_0_1264,plain,
converse(X_201) = meet(converse(X_201),converse(join(X_201,meet(complement(X_201),converse(complement(converse(complement(X_201)))))))),
inference(subst,[],[refute_0_1263:[bind(X0,$fot(X_201)),bind(X1,$fot(meet(complement(X_201),converse(complement(converse(complement(X_201)))))))]]) ).
cnf(refute_0_1265,plain,
converse(complement(converse(complement(X_72)))) = join(meet(X_72,converse(complement(converse(complement(X_72))))),meet(complement(X_72),converse(complement(converse(complement(X_72)))))),
inference(subst,[],[refute_0_767:[bind(X_73,$fot(converse(complement(converse(complement(X_72))))))]]) ).
cnf(refute_0_1266,plain,
X_39 = join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(join(complement(X_39),converse(complement(converse(complement(X_39))))))),
inference(subst,[],[refute_0_34:[bind(X0,$fot(X_39)),bind(X1,$fot(converse(complement(converse(complement(X_39))))))]]) ).
cnf(refute_0_1267,plain,
converse(top) = join(complement(X_39),converse(complement(converse(complement(X_39))))),
inference(subst,[],[refute_0_427:[bind(X_19,$fot(complement(X_39)))]]) ).
cnf(refute_0_1268,plain,
( converse(top) != join(complement(X_39),converse(complement(converse(complement(X_39)))))
| join(complement(X_39),converse(complement(converse(complement(X_39))))) = converse(top) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_39),converse(complement(converse(complement(X_39)))))))]]) ).
cnf(refute_0_1269,plain,
join(complement(X_39),converse(complement(converse(complement(X_39))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_39),converse(complement(converse(complement(X_39)))))) )],[refute_0_1267,refute_0_1268]) ).
cnf(refute_0_1270,plain,
( X_39 != join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(join(complement(X_39),converse(complement(converse(complement(X_39)))))))
| join(complement(X_39),converse(complement(converse(complement(X_39))))) != converse(top)
| X_39 = join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_39,join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(join(complement(X_39),converse(complement(converse(complement(X_39)))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_1271,plain,
( X_39 != join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(join(complement(X_39),converse(complement(converse(complement(X_39)))))))
| X_39 = join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),converse(complement(converse(complement(X_39))))),converse(top)) )],[refute_0_1269,refute_0_1270]) ).
cnf(refute_0_1272,plain,
X_39 = join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top))),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(join(complement(X_39),converse(complement(converse(complement(X_39)))))))) )],[refute_0_1266,refute_0_1271]) ).
cnf(refute_0_1273,plain,
join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top))) = join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(X_39,converse(complement(converse(complement(X_39)))))))]]) ).
cnf(refute_0_1274,plain,
( X_39 != join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top)))
| join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top))) != join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39))))))
| X_39 = join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39))))))) ),[0],$fot(join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top))))]]) ).
cnf(refute_0_1275,plain,
( X_39 != join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top)))
| X_39 = join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top))),join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39))))))) )],[refute_0_1273,refute_0_1274]) ).
cnf(refute_0_1276,plain,
X_39 = join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,converse(complement(converse(complement(X_39))))),complement(converse(top)))) )],[refute_0_1272,refute_0_1275]) ).
cnf(refute_0_1277,plain,
join(zero,meet(X_39,converse(complement(converse(complement(X_39)))))) = meet(X_39,converse(complement(converse(complement(X_39))))),
inference(subst,[],[refute_0_565:[bind(X_39,$fot(meet(X_39,converse(complement(converse(complement(X_39)))))))]]) ).
cnf(refute_0_1278,plain,
join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) = join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))))]]) ).
cnf(refute_0_1279,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) != join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39))))))
| join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) = join(zero,meet(X_39,converse(complement(converse(complement(X_39)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))),join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1280,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) = join(zero,meet(X_39,converse(complement(converse(complement(X_39)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))),join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39))))))) )],[refute_0_1278,refute_0_1279]) ).
cnf(refute_0_1281,plain,
join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) = join(zero,meet(X_39,converse(complement(converse(complement(X_39)))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_684,refute_0_1280]) ).
cnf(refute_0_1282,plain,
( join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) != join(zero,meet(X_39,converse(complement(converse(complement(X_39))))))
| join(zero,meet(X_39,converse(complement(converse(complement(X_39)))))) != meet(X_39,converse(complement(converse(complement(X_39)))))
| join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) = meet(X_39,converse(complement(converse(complement(X_39))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))))),bind(Y,$fot(join(zero,meet(X_39,converse(complement(converse(complement(X_39)))))))),bind(Z,$fot(meet(X_39,converse(complement(converse(complement(X_39)))))))]]) ).
cnf(refute_0_1283,plain,
( join(zero,meet(X_39,converse(complement(converse(complement(X_39)))))) != meet(X_39,converse(complement(converse(complement(X_39)))))
| join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) = meet(X_39,converse(complement(converse(complement(X_39))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))),join(zero,meet(X_39,converse(complement(converse(complement(X_39))))))) )],[refute_0_1281,refute_0_1282]) ).
cnf(refute_0_1284,plain,
join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) = meet(X_39,converse(complement(converse(complement(X_39))))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_39,converse(complement(converse(complement(X_39)))))),meet(X_39,converse(complement(converse(complement(X_39)))))) )],[refute_0_1277,refute_0_1283]) ).
cnf(refute_0_1285,plain,
( X_39 != join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39))))))
| join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))) != meet(X_39,converse(complement(converse(complement(X_39)))))
| X_39 = meet(X_39,converse(complement(converse(complement(X_39))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,meet(X_39,converse(complement(converse(complement(X_39)))))) ),[0],$fot(join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))))]]) ).
cnf(refute_0_1286,plain,
( X_39 != join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39))))))
| X_39 = meet(X_39,converse(complement(converse(complement(X_39))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39)))))),meet(X_39,converse(complement(converse(complement(X_39)))))) )],[refute_0_1284,refute_0_1285]) ).
cnf(refute_0_1287,plain,
X_39 = meet(X_39,converse(complement(converse(complement(X_39))))),
inference(resolve,[$cnf( $equal(X_39,join(complement(converse(top)),meet(X_39,converse(complement(converse(complement(X_39))))))) )],[refute_0_1276,refute_0_1286]) ).
cnf(refute_0_1288,plain,
X_72 = meet(X_72,converse(complement(converse(complement(X_72))))),
inference(subst,[],[refute_0_1287:[bind(X_39,$fot(X_72))]]) ).
cnf(refute_0_1289,plain,
( X_72 != meet(X_72,converse(complement(converse(complement(X_72)))))
| meet(X_72,converse(complement(converse(complement(X_72))))) = X_72 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_72)),bind(Y,$fot(meet(X_72,converse(complement(converse(complement(X_72)))))))]]) ).
cnf(refute_0_1290,plain,
meet(X_72,converse(complement(converse(complement(X_72))))) = X_72,
inference(resolve,[$cnf( $equal(X_72,meet(X_72,converse(complement(converse(complement(X_72)))))) )],[refute_0_1288,refute_0_1289]) ).
cnf(refute_0_1291,plain,
( converse(complement(converse(complement(X_72)))) != join(meet(X_72,converse(complement(converse(complement(X_72))))),meet(complement(X_72),converse(complement(converse(complement(X_72))))))
| meet(X_72,converse(complement(converse(complement(X_72))))) != X_72
| converse(complement(converse(complement(X_72)))) = join(X_72,meet(complement(X_72),converse(complement(converse(complement(X_72)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(X_72)))),join(meet(X_72,converse(complement(converse(complement(X_72))))),meet(complement(X_72),converse(complement(converse(complement(X_72))))))) ),[1,0],$fot(X_72)]]) ).
cnf(refute_0_1292,plain,
( converse(complement(converse(complement(X_72)))) != join(meet(X_72,converse(complement(converse(complement(X_72))))),meet(complement(X_72),converse(complement(converse(complement(X_72))))))
| converse(complement(converse(complement(X_72)))) = join(X_72,meet(complement(X_72),converse(complement(converse(complement(X_72)))))) ),
inference(resolve,[$cnf( $equal(meet(X_72,converse(complement(converse(complement(X_72))))),X_72) )],[refute_0_1290,refute_0_1291]) ).
cnf(refute_0_1293,plain,
converse(complement(converse(complement(X_72)))) = join(X_72,meet(complement(X_72),converse(complement(converse(complement(X_72)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_72)))),join(meet(X_72,converse(complement(converse(complement(X_72))))),meet(complement(X_72),converse(complement(converse(complement(X_72))))))) )],[refute_0_1265,refute_0_1292]) ).
cnf(refute_0_1294,plain,
converse(complement(converse(complement(X_201)))) = join(X_201,meet(complement(X_201),converse(complement(converse(complement(X_201)))))),
inference(subst,[],[refute_0_1293:[bind(X_72,$fot(X_201))]]) ).
cnf(refute_0_1295,plain,
( converse(complement(converse(complement(X_201)))) != join(X_201,meet(complement(X_201),converse(complement(converse(complement(X_201))))))
| join(X_201,meet(complement(X_201),converse(complement(converse(complement(X_201)))))) = converse(complement(converse(complement(X_201)))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(complement(converse(complement(X_201)))))),bind(Y,$fot(join(X_201,meet(complement(X_201),converse(complement(converse(complement(X_201))))))))]]) ).
cnf(refute_0_1296,plain,
join(X_201,meet(complement(X_201),converse(complement(converse(complement(X_201)))))) = converse(complement(converse(complement(X_201)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_201)))),join(X_201,meet(complement(X_201),converse(complement(converse(complement(X_201))))))) )],[refute_0_1294,refute_0_1295]) ).
cnf(refute_0_1297,plain,
( converse(X_201) != meet(converse(X_201),converse(join(X_201,meet(complement(X_201),converse(complement(converse(complement(X_201))))))))
| join(X_201,meet(complement(X_201),converse(complement(converse(complement(X_201)))))) != converse(complement(converse(complement(X_201))))
| converse(X_201) = meet(converse(X_201),converse(converse(complement(converse(complement(X_201)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(X_201),meet(converse(X_201),converse(join(X_201,meet(complement(X_201),converse(complement(converse(complement(X_201))))))))) ),[1,1,0],$fot(converse(complement(converse(complement(X_201)))))]]) ).
cnf(refute_0_1298,plain,
( converse(X_201) != meet(converse(X_201),converse(join(X_201,meet(complement(X_201),converse(complement(converse(complement(X_201))))))))
| converse(X_201) = meet(converse(X_201),converse(converse(complement(converse(complement(X_201)))))) ),
inference(resolve,[$cnf( $equal(join(X_201,meet(complement(X_201),converse(complement(converse(complement(X_201)))))),converse(complement(converse(complement(X_201))))) )],[refute_0_1296,refute_0_1297]) ).
cnf(refute_0_1299,plain,
converse(X_201) = meet(converse(X_201),converse(converse(complement(converse(complement(X_201)))))),
inference(resolve,[$cnf( $equal(converse(X_201),meet(converse(X_201),converse(join(X_201,meet(complement(X_201),converse(complement(converse(complement(X_201))))))))) )],[refute_0_1264,refute_0_1298]) ).
cnf(refute_0_1300,plain,
converse(converse(complement(converse(complement(X_201))))) = complement(converse(complement(X_201))),
inference(subst,[],[refute_0_46:[bind(X0,$fot(complement(converse(complement(X_201)))))]]) ).
cnf(refute_0_1301,plain,
meet(converse(X_201),converse(converse(complement(converse(complement(X_201)))))) = meet(converse(X_201),converse(converse(complement(converse(complement(X_201)))))),
introduced(tautology,[refl,[$fot(meet(converse(X_201),converse(converse(complement(converse(complement(X_201)))))))]]) ).
cnf(refute_0_1302,plain,
( converse(converse(complement(converse(complement(X_201))))) != complement(converse(complement(X_201)))
| meet(converse(X_201),converse(converse(complement(converse(complement(X_201)))))) != meet(converse(X_201),converse(converse(complement(converse(complement(X_201))))))
| meet(converse(X_201),converse(converse(complement(converse(complement(X_201)))))) = meet(converse(X_201),complement(converse(complement(X_201)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(X_201),converse(converse(complement(converse(complement(X_201)))))),meet(converse(X_201),converse(converse(complement(converse(complement(X_201))))))) ),[1,1],$fot(complement(converse(complement(X_201))))]]) ).
cnf(refute_0_1303,plain,
( converse(converse(complement(converse(complement(X_201))))) != complement(converse(complement(X_201)))
| meet(converse(X_201),converse(converse(complement(converse(complement(X_201)))))) = meet(converse(X_201),complement(converse(complement(X_201)))) ),
inference(resolve,[$cnf( $equal(meet(converse(X_201),converse(converse(complement(converse(complement(X_201)))))),meet(converse(X_201),converse(converse(complement(converse(complement(X_201))))))) )],[refute_0_1301,refute_0_1302]) ).
cnf(refute_0_1304,plain,
meet(converse(X_201),converse(converse(complement(converse(complement(X_201)))))) = meet(converse(X_201),complement(converse(complement(X_201)))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(complement(X_201))))),complement(converse(complement(X_201)))) )],[refute_0_1300,refute_0_1303]) ).
cnf(refute_0_1305,plain,
( converse(X_201) != meet(converse(X_201),converse(converse(complement(converse(complement(X_201))))))
| meet(converse(X_201),converse(converse(complement(converse(complement(X_201)))))) != meet(converse(X_201),complement(converse(complement(X_201))))
| converse(X_201) = meet(converse(X_201),complement(converse(complement(X_201)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(X_201),meet(converse(X_201),complement(converse(complement(X_201))))) ),[0],$fot(meet(converse(X_201),converse(converse(complement(converse(complement(X_201)))))))]]) ).
cnf(refute_0_1306,plain,
( converse(X_201) != meet(converse(X_201),converse(converse(complement(converse(complement(X_201))))))
| converse(X_201) = meet(converse(X_201),complement(converse(complement(X_201)))) ),
inference(resolve,[$cnf( $equal(meet(converse(X_201),converse(converse(complement(converse(complement(X_201)))))),meet(converse(X_201),complement(converse(complement(X_201))))) )],[refute_0_1304,refute_0_1305]) ).
cnf(refute_0_1307,plain,
converse(X_201) = meet(converse(X_201),complement(converse(complement(X_201)))),
inference(resolve,[$cnf( $equal(converse(X_201),meet(converse(X_201),converse(converse(complement(converse(complement(X_201))))))) )],[refute_0_1299,refute_0_1306]) ).
cnf(refute_0_1308,plain,
converse(X_203) = meet(converse(X_203),complement(converse(complement(X_203)))),
inference(subst,[],[refute_0_1307:[bind(X_201,$fot(X_203))]]) ).
cnf(refute_0_1309,plain,
( converse(X_203) != meet(converse(X_203),complement(converse(complement(X_203))))
| meet(converse(X_203),complement(converse(complement(X_203)))) = converse(X_203) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(X_203))),bind(Y,$fot(meet(converse(X_203),complement(converse(complement(X_203))))))]]) ).
cnf(refute_0_1310,plain,
meet(converse(X_203),complement(converse(complement(X_203)))) = converse(X_203),
inference(resolve,[$cnf( $equal(converse(X_203),meet(converse(X_203),complement(converse(complement(X_203))))) )],[refute_0_1308,refute_0_1309]) ).
cnf(refute_0_1311,plain,
( meet(complement(complement(converse(complement(X_203)))),meet(converse(X_203),complement(converse(complement(X_203))))) != zero
| meet(converse(X_203),complement(converse(complement(X_203)))) != converse(X_203)
| meet(complement(complement(converse(complement(X_203)))),converse(X_203)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(converse(complement(X_203)))),meet(converse(X_203),complement(converse(complement(X_203))))),zero) ),[0,1],$fot(converse(X_203))]]) ).
cnf(refute_0_1312,plain,
( meet(complement(complement(converse(complement(X_203)))),meet(converse(X_203),complement(converse(complement(X_203))))) != zero
| meet(complement(complement(converse(complement(X_203)))),converse(X_203)) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(X_203),complement(converse(complement(X_203)))),converse(X_203)) )],[refute_0_1310,refute_0_1311]) ).
cnf(refute_0_1313,plain,
meet(complement(complement(converse(complement(X_203)))),converse(X_203)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(X_203)))),meet(converse(X_203),complement(converse(complement(X_203))))),zero) )],[refute_0_1259,refute_0_1312]) ).
cnf(refute_0_1314,plain,
complement(complement(converse(complement(X_203)))) = converse(complement(X_203)),
inference(subst,[],[refute_0_340:[bind(X_39,$fot(converse(complement(X_203))))]]) ).
cnf(refute_0_1315,plain,
meet(converse(X_203),complement(complement(converse(complement(X_203))))) = meet(converse(X_203),complement(complement(converse(complement(X_203))))),
introduced(tautology,[refl,[$fot(meet(converse(X_203),complement(complement(converse(complement(X_203))))))]]) ).
cnf(refute_0_1316,plain,
( complement(complement(converse(complement(X_203)))) != converse(complement(X_203))
| meet(converse(X_203),complement(complement(converse(complement(X_203))))) != meet(converse(X_203),complement(complement(converse(complement(X_203)))))
| meet(converse(X_203),complement(complement(converse(complement(X_203))))) = meet(converse(X_203),converse(complement(X_203))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(X_203),complement(complement(converse(complement(X_203))))),meet(converse(X_203),complement(complement(converse(complement(X_203)))))) ),[1,1],$fot(converse(complement(X_203)))]]) ).
cnf(refute_0_1317,plain,
( complement(complement(converse(complement(X_203)))) != converse(complement(X_203))
| meet(converse(X_203),complement(complement(converse(complement(X_203))))) = meet(converse(X_203),converse(complement(X_203))) ),
inference(resolve,[$cnf( $equal(meet(converse(X_203),complement(complement(converse(complement(X_203))))),meet(converse(X_203),complement(complement(converse(complement(X_203)))))) )],[refute_0_1315,refute_0_1316]) ).
cnf(refute_0_1318,plain,
meet(converse(X_203),complement(complement(converse(complement(X_203))))) = meet(converse(X_203),converse(complement(X_203))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(X_203)))),converse(complement(X_203))) )],[refute_0_1314,refute_0_1317]) ).
cnf(refute_0_1319,plain,
meet(complement(complement(converse(complement(X_203)))),converse(X_203)) = meet(converse(X_203),complement(complement(converse(complement(X_203))))),
inference(subst,[],[refute_0_191:[bind(X_10,$fot(converse(X_203))),bind(X_11,$fot(complement(complement(converse(complement(X_203))))))]]) ).
cnf(refute_0_1320,plain,
( meet(complement(complement(converse(complement(X_203)))),converse(X_203)) != meet(converse(X_203),complement(complement(converse(complement(X_203)))))
| meet(converse(X_203),complement(complement(converse(complement(X_203))))) != meet(converse(X_203),converse(complement(X_203)))
| meet(complement(complement(converse(complement(X_203)))),converse(X_203)) = meet(converse(X_203),converse(complement(X_203))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(converse(complement(X_203)))),converse(X_203)))),bind(Y,$fot(meet(converse(X_203),complement(complement(converse(complement(X_203))))))),bind(Z,$fot(meet(converse(X_203),converse(complement(X_203)))))]]) ).
cnf(refute_0_1321,plain,
( meet(converse(X_203),complement(complement(converse(complement(X_203))))) != meet(converse(X_203),converse(complement(X_203)))
| meet(complement(complement(converse(complement(X_203)))),converse(X_203)) = meet(converse(X_203),converse(complement(X_203))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(X_203)))),converse(X_203)),meet(converse(X_203),complement(complement(converse(complement(X_203)))))) )],[refute_0_1319,refute_0_1320]) ).
cnf(refute_0_1322,plain,
meet(complement(complement(converse(complement(X_203)))),converse(X_203)) = meet(converse(X_203),converse(complement(X_203))),
inference(resolve,[$cnf( $equal(meet(converse(X_203),complement(complement(converse(complement(X_203))))),meet(converse(X_203),converse(complement(X_203)))) )],[refute_0_1318,refute_0_1321]) ).
cnf(refute_0_1323,plain,
( meet(complement(complement(converse(complement(X_203)))),converse(X_203)) != meet(converse(X_203),converse(complement(X_203)))
| meet(complement(complement(converse(complement(X_203)))),converse(X_203)) != zero
| meet(converse(X_203),converse(complement(X_203))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(converse(complement(X_203)))),converse(X_203)),zero) ),[0],$fot(meet(converse(X_203),converse(complement(X_203))))]]) ).
cnf(refute_0_1324,plain,
( meet(complement(complement(converse(complement(X_203)))),converse(X_203)) != zero
| meet(converse(X_203),converse(complement(X_203))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(X_203)))),converse(X_203)),meet(converse(X_203),converse(complement(X_203)))) )],[refute_0_1322,refute_0_1323]) ).
cnf(refute_0_1325,plain,
meet(converse(X_203),converse(complement(X_203))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(X_203)))),converse(X_203)),zero) )],[refute_0_1313,refute_0_1324]) ).
cnf(refute_0_1326,plain,
meet(converse(X_204),converse(complement(X_204))) = zero,
inference(subst,[],[refute_0_1325:[bind(X_203,$fot(X_204))]]) ).
cnf(refute_0_1327,plain,
( meet(complement(meet(converse(X_204),converse(complement(X_204)))),join(complement(converse(X_204)),converse(complement(X_204)))) != complement(converse(X_204))
| meet(converse(X_204),converse(complement(X_204))) != zero
| meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) = complement(converse(X_204)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(converse(X_204),converse(complement(X_204)))),join(complement(converse(X_204)),converse(complement(X_204)))),complement(converse(X_204))) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_1328,plain,
( meet(complement(meet(converse(X_204),converse(complement(X_204)))),join(complement(converse(X_204)),converse(complement(X_204)))) != complement(converse(X_204))
| meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) = complement(converse(X_204)) ),
inference(resolve,[$cnf( $equal(meet(converse(X_204),converse(complement(X_204))),zero) )],[refute_0_1326,refute_0_1327]) ).
cnf(refute_0_1329,plain,
meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) = complement(converse(X_204)),
inference(resolve,[$cnf( $equal(meet(complement(meet(converse(X_204),converse(complement(X_204)))),join(complement(converse(X_204)),converse(complement(X_204)))),complement(converse(X_204))) )],[refute_0_1258,refute_0_1328]) ).
cnf(refute_0_1330,plain,
meet(top,converse(complement(X_204))) = converse(complement(X_204)),
inference(subst,[],[refute_0_357:[bind(X1,$fot(converse(complement(X_204))))]]) ).
cnf(refute_0_1331,plain,
converse(complement(converse(complement(complement(X_72))))) = join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),meet(complement(X_72),converse(complement(converse(complement(complement(X_72))))))),
inference(subst,[],[refute_0_767:[bind(X_73,$fot(converse(complement(converse(complement(complement(X_72)))))))]]) ).
cnf(refute_0_1332,plain,
complement(X_72) = meet(complement(X_72),converse(complement(converse(complement(complement(X_72)))))),
inference(subst,[],[refute_0_1287:[bind(X_39,$fot(complement(X_72)))]]) ).
cnf(refute_0_1333,plain,
( complement(X_72) != meet(complement(X_72),converse(complement(converse(complement(complement(X_72))))))
| meet(complement(X_72),converse(complement(converse(complement(complement(X_72)))))) = complement(X_72) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(X_72))),bind(Y,$fot(meet(complement(X_72),converse(complement(converse(complement(complement(X_72))))))))]]) ).
cnf(refute_0_1334,plain,
meet(complement(X_72),converse(complement(converse(complement(complement(X_72)))))) = complement(X_72),
inference(resolve,[$cnf( $equal(complement(X_72),meet(complement(X_72),converse(complement(converse(complement(complement(X_72))))))) )],[refute_0_1332,refute_0_1333]) ).
cnf(refute_0_1335,plain,
( converse(complement(converse(complement(complement(X_72))))) != join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),meet(complement(X_72),converse(complement(converse(complement(complement(X_72)))))))
| meet(complement(X_72),converse(complement(converse(complement(complement(X_72)))))) != complement(X_72)
| converse(complement(converse(complement(complement(X_72))))) = join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_72))))),join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),meet(complement(X_72),converse(complement(converse(complement(complement(X_72)))))))) ),[1,1],$fot(complement(X_72))]]) ).
cnf(refute_0_1336,plain,
( converse(complement(converse(complement(complement(X_72))))) != join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),meet(complement(X_72),converse(complement(converse(complement(complement(X_72)))))))
| converse(complement(converse(complement(complement(X_72))))) = join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_72),converse(complement(converse(complement(complement(X_72)))))),complement(X_72)) )],[refute_0_1334,refute_0_1335]) ).
cnf(refute_0_1337,plain,
converse(complement(converse(complement(complement(X_72))))) = join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72)),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_72))))),join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),meet(complement(X_72),converse(complement(converse(complement(complement(X_72)))))))) )],[refute_0_1331,refute_0_1336]) ).
cnf(refute_0_1338,plain,
complement(complement(X_72)) = X_72,
inference(subst,[],[refute_0_340:[bind(X_39,$fot(X_72))]]) ).
cnf(refute_0_1339,plain,
converse(complement(complement(X_72))) = converse(complement(complement(X_72))),
introduced(tautology,[refl,[$fot(converse(complement(complement(X_72))))]]) ).
cnf(refute_0_1340,plain,
( complement(complement(X_72)) != X_72
| converse(complement(complement(X_72))) != converse(complement(complement(X_72)))
| converse(complement(complement(X_72))) = converse(X_72) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(complement(X_72))),converse(complement(complement(X_72)))) ),[1,0],$fot(X_72)]]) ).
cnf(refute_0_1341,plain,
( complement(complement(X_72)) != X_72
| converse(complement(complement(X_72))) = converse(X_72) ),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_72))),converse(complement(complement(X_72)))) )],[refute_0_1339,refute_0_1340]) ).
cnf(refute_0_1342,plain,
converse(complement(complement(X_72))) = converse(X_72),
inference(resolve,[$cnf( $equal(complement(complement(X_72)),X_72) )],[refute_0_1338,refute_0_1341]) ).
cnf(refute_0_1343,plain,
complement(converse(complement(complement(X_72)))) = complement(converse(complement(complement(X_72)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(complement(X_72)))))]]) ).
cnf(refute_0_1344,plain,
( complement(converse(complement(complement(X_72)))) != complement(converse(complement(complement(X_72))))
| converse(complement(complement(X_72))) != converse(X_72)
| complement(converse(complement(complement(X_72)))) = complement(converse(X_72)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(complement(X_72)))),complement(converse(complement(complement(X_72))))) ),[1,0],$fot(converse(X_72))]]) ).
cnf(refute_0_1345,plain,
( converse(complement(complement(X_72))) != converse(X_72)
| complement(converse(complement(complement(X_72)))) = complement(converse(X_72)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_72)))),complement(converse(complement(complement(X_72))))) )],[refute_0_1343,refute_0_1344]) ).
cnf(refute_0_1346,plain,
complement(converse(complement(complement(X_72)))) = complement(converse(X_72)),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_72))),converse(X_72)) )],[refute_0_1342,refute_0_1345]) ).
cnf(refute_0_1347,plain,
converse(complement(converse(complement(complement(X_72))))) = converse(complement(converse(complement(complement(X_72))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(complement(X_72))))))]]) ).
cnf(refute_0_1348,plain,
( complement(converse(complement(complement(X_72)))) != complement(converse(X_72))
| converse(complement(converse(complement(complement(X_72))))) != converse(complement(converse(complement(complement(X_72)))))
| converse(complement(converse(complement(complement(X_72))))) = converse(complement(converse(X_72))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_72))))),converse(complement(converse(complement(complement(X_72)))))) ),[1,0],$fot(complement(converse(X_72)))]]) ).
cnf(refute_0_1349,plain,
( complement(converse(complement(complement(X_72)))) != complement(converse(X_72))
| converse(complement(converse(complement(complement(X_72))))) = converse(complement(converse(X_72))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_72))))),converse(complement(converse(complement(complement(X_72)))))) )],[refute_0_1347,refute_0_1348]) ).
cnf(refute_0_1350,plain,
converse(complement(converse(complement(complement(X_72))))) = converse(complement(converse(X_72))),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_72)))),complement(converse(X_72))) )],[refute_0_1346,refute_0_1349]) ).
cnf(refute_0_1351,plain,
( converse(complement(converse(complement(complement(X_72))))) != converse(complement(converse(X_72)))
| converse(complement(converse(complement(complement(X_72))))) != join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72))
| converse(complement(converse(X_72))) = join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_72))))),join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72))) ),[0],$fot(converse(complement(converse(X_72))))]]) ).
cnf(refute_0_1352,plain,
( converse(complement(converse(complement(complement(X_72))))) != join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72))
| converse(complement(converse(X_72))) = join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_72))))),converse(complement(converse(X_72)))) )],[refute_0_1350,refute_0_1351]) ).
cnf(refute_0_1353,plain,
meet(X_72,converse(complement(converse(complement(complement(X_72)))))) = meet(X_72,converse(complement(converse(complement(complement(X_72)))))),
introduced(tautology,[refl,[$fot(meet(X_72,converse(complement(converse(complement(complement(X_72)))))))]]) ).
cnf(refute_0_1354,plain,
( converse(complement(converse(complement(complement(X_72))))) != converse(complement(converse(X_72)))
| meet(X_72,converse(complement(converse(complement(complement(X_72)))))) != meet(X_72,converse(complement(converse(complement(complement(X_72))))))
| meet(X_72,converse(complement(converse(complement(complement(X_72)))))) = meet(X_72,converse(complement(converse(X_72)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),meet(X_72,converse(complement(converse(complement(complement(X_72))))))) ),[1,1],$fot(converse(complement(converse(X_72))))]]) ).
cnf(refute_0_1355,plain,
( converse(complement(converse(complement(complement(X_72))))) != converse(complement(converse(X_72)))
| meet(X_72,converse(complement(converse(complement(complement(X_72)))))) = meet(X_72,converse(complement(converse(X_72)))) ),
inference(resolve,[$cnf( $equal(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),meet(X_72,converse(complement(converse(complement(complement(X_72))))))) )],[refute_0_1353,refute_0_1354]) ).
cnf(refute_0_1356,plain,
meet(X_72,converse(complement(converse(complement(complement(X_72)))))) = meet(X_72,converse(complement(converse(X_72)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_72))))),converse(complement(converse(X_72)))) )],[refute_0_1350,refute_0_1355]) ).
cnf(refute_0_1357,plain,
join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72))))))) = join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72))))))),
introduced(tautology,[refl,[$fot(join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72))))))))]]) ).
cnf(refute_0_1358,plain,
( join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72))))))) != join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72)))))))
| meet(X_72,converse(complement(converse(complement(complement(X_72)))))) != meet(X_72,converse(complement(converse(X_72))))
| join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72))))))) = join(complement(X_72),meet(X_72,converse(complement(converse(X_72))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72))))))),join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72)))))))) ),[1,1],$fot(meet(X_72,converse(complement(converse(X_72)))))]]) ).
cnf(refute_0_1359,plain,
( meet(X_72,converse(complement(converse(complement(complement(X_72)))))) != meet(X_72,converse(complement(converse(X_72))))
| join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72))))))) = join(complement(X_72),meet(X_72,converse(complement(converse(X_72))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72))))))),join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72)))))))) )],[refute_0_1357,refute_0_1358]) ).
cnf(refute_0_1360,plain,
join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72))))))) = join(complement(X_72),meet(X_72,converse(complement(converse(X_72))))),
inference(resolve,[$cnf( $equal(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),meet(X_72,converse(complement(converse(X_72))))) )],[refute_0_1356,refute_0_1359]) ).
cnf(refute_0_1361,plain,
join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72)) = join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72))))))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(X_72))),bind(X1,$fot(meet(X_72,converse(complement(converse(complement(complement(X_72))))))))]]) ).
cnf(refute_0_1362,plain,
( join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72))))))) != join(complement(X_72),meet(X_72,converse(complement(converse(X_72)))))
| join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72)) != join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72)))))))
| join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72)) = join(complement(X_72),meet(X_72,converse(complement(converse(X_72))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72)))),bind(Y,$fot(join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72))))))))),bind(Z,$fot(join(complement(X_72),meet(X_72,converse(complement(converse(X_72)))))))]]) ).
cnf(refute_0_1363,plain,
( join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72))))))) != join(complement(X_72),meet(X_72,converse(complement(converse(X_72)))))
| join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72)) = join(complement(X_72),meet(X_72,converse(complement(converse(X_72))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72)),join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72)))))))) )],[refute_0_1361,refute_0_1362]) ).
cnf(refute_0_1364,plain,
join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72)) = join(complement(X_72),meet(X_72,converse(complement(converse(X_72))))),
inference(resolve,[$cnf( $equal(join(complement(X_72),meet(X_72,converse(complement(converse(complement(complement(X_72))))))),join(complement(X_72),meet(X_72,converse(complement(converse(X_72)))))) )],[refute_0_1360,refute_0_1363]) ).
cnf(refute_0_1365,plain,
( converse(complement(converse(X_72))) != join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72))
| join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72)) != join(complement(X_72),meet(X_72,converse(complement(converse(X_72)))))
| converse(complement(converse(X_72))) = join(complement(X_72),meet(X_72,converse(complement(converse(X_72))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_72))),join(complement(X_72),meet(X_72,converse(complement(converse(X_72)))))) ),[0],$fot(join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72)))]]) ).
cnf(refute_0_1366,plain,
( converse(complement(converse(X_72))) != join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72))
| converse(complement(converse(X_72))) = join(complement(X_72),meet(X_72,converse(complement(converse(X_72))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72)),join(complement(X_72),meet(X_72,converse(complement(converse(X_72)))))) )],[refute_0_1364,refute_0_1365]) ).
cnf(refute_0_1367,plain,
( converse(complement(converse(complement(complement(X_72))))) != join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72))
| converse(complement(converse(X_72))) = join(complement(X_72),meet(X_72,converse(complement(converse(X_72))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_72))),join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72))) )],[refute_0_1352,refute_0_1366]) ).
cnf(refute_0_1368,plain,
converse(complement(converse(X_72))) = join(complement(X_72),meet(X_72,converse(complement(converse(X_72))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_72))))),join(meet(X_72,converse(complement(converse(complement(complement(X_72)))))),complement(X_72))) )],[refute_0_1337,refute_0_1367]) ).
cnf(refute_0_1369,plain,
converse(complement(converse(converse(X0)))) = join(complement(converse(X0)),meet(converse(X0),converse(complement(converse(converse(X0)))))),
inference(subst,[],[refute_0_1368:[bind(X_72,$fot(converse(X0)))]]) ).
cnf(refute_0_1370,plain,
( converse(complement(converse(converse(X0)))) != join(complement(converse(X0)),meet(converse(X0),converse(complement(converse(converse(X0))))))
| converse(converse(X0)) != X0
| converse(complement(converse(converse(X0)))) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(X0)))),join(complement(converse(X0)),meet(converse(X0),converse(complement(converse(converse(X0))))))) ),[1,1,1,0,0],$fot(X0)]]) ).
cnf(refute_0_1371,plain,
( converse(complement(converse(converse(X0)))) != join(complement(converse(X0)),meet(converse(X0),converse(complement(converse(converse(X0))))))
| converse(complement(converse(converse(X0)))) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_46,refute_0_1370]) ).
cnf(refute_0_1372,plain,
converse(complement(converse(converse(X0)))) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(X0)))),join(complement(converse(X0)),meet(converse(X0),converse(complement(converse(converse(X0))))))) )],[refute_0_1369,refute_0_1371]) ).
cnf(refute_0_1373,plain,
complement(converse(converse(X0))) = complement(converse(converse(X0))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X0))))]]) ).
cnf(refute_0_1374,plain,
( complement(converse(converse(X0))) != complement(converse(converse(X0)))
| converse(converse(X0)) != X0
| complement(converse(converse(X0))) = complement(X0) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_1375,plain,
( converse(converse(X0)) != X0
| complement(converse(converse(X0))) = complement(X0) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) )],[refute_0_1373,refute_0_1374]) ).
cnf(refute_0_1376,plain,
complement(converse(converse(X0))) = complement(X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_46,refute_0_1375]) ).
cnf(refute_0_1377,plain,
converse(complement(converse(converse(X0)))) = converse(complement(converse(converse(X0)))),
introduced(tautology,[refl,[$fot(converse(complement(converse(converse(X0)))))]]) ).
cnf(refute_0_1378,plain,
( complement(converse(converse(X0))) != complement(X0)
| converse(complement(converse(converse(X0)))) != converse(complement(converse(converse(X0))))
| converse(complement(converse(converse(X0)))) = converse(complement(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(X0)))),converse(complement(converse(converse(X0))))) ),[1,0],$fot(complement(X0))]]) ).
cnf(refute_0_1379,plain,
( complement(converse(converse(X0))) != complement(X0)
| converse(complement(converse(converse(X0)))) = converse(complement(X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(X0)))),converse(complement(converse(converse(X0))))) )],[refute_0_1377,refute_0_1378]) ).
cnf(refute_0_1380,plain,
converse(complement(converse(converse(X0)))) = converse(complement(X0)),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(X0)) )],[refute_0_1376,refute_0_1379]) ).
cnf(refute_0_1381,plain,
( converse(complement(converse(converse(X0)))) != converse(complement(X0))
| converse(complement(converse(converse(X0)))) != join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))
| converse(complement(X0)) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(X0)))),join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))) ),[0],$fot(converse(complement(X0)))]]) ).
cnf(refute_0_1382,plain,
( converse(complement(converse(converse(X0)))) != join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))
| converse(complement(X0)) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(X0)))),converse(complement(X0))) )],[refute_0_1380,refute_0_1381]) ).
cnf(refute_0_1383,plain,
converse(complement(X0)) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(X0)))),join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))) )],[refute_0_1372,refute_0_1382]) ).
cnf(refute_0_1384,plain,
join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) = join(complement(converse(X0)),converse(complement(X0))),
inference(subst,[],[refute_0_1158:[bind(X_117,$fot(converse(complement(X0)))),bind(X_72,$fot(converse(X0)))]]) ).
cnf(refute_0_1385,plain,
( converse(complement(X0)) != join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))
| join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) != join(complement(converse(X0)),converse(complement(X0)))
| converse(complement(X0)) = join(complement(converse(X0)),converse(complement(X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(X0)),join(complement(converse(X0)),converse(complement(X0)))) ),[0],$fot(join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))))]]) ).
cnf(refute_0_1386,plain,
( converse(complement(X0)) != join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))
| converse(complement(X0)) = join(complement(converse(X0)),converse(complement(X0))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))),join(complement(converse(X0)),converse(complement(X0)))) )],[refute_0_1384,refute_0_1385]) ).
cnf(refute_0_1387,plain,
converse(complement(X0)) = join(complement(converse(X0)),converse(complement(X0))),
inference(resolve,[$cnf( $equal(converse(complement(X0)),join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))) )],[refute_0_1383,refute_0_1386]) ).
cnf(refute_0_1388,plain,
( converse(complement(X0)) != join(complement(converse(X0)),converse(complement(X0)))
| join(complement(converse(X0)),converse(complement(X0))) = converse(complement(X0)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(complement(X0)))),bind(Y,$fot(join(complement(converse(X0)),converse(complement(X0)))))]]) ).
cnf(refute_0_1389,plain,
join(complement(converse(X0)),converse(complement(X0))) = converse(complement(X0)),
inference(resolve,[$cnf( $equal(converse(complement(X0)),join(complement(converse(X0)),converse(complement(X0)))) )],[refute_0_1387,refute_0_1388]) ).
cnf(refute_0_1390,plain,
join(complement(converse(X_204)),converse(complement(X_204))) = converse(complement(X_204)),
inference(subst,[],[refute_0_1389:[bind(X0,$fot(X_204))]]) ).
cnf(refute_0_1391,plain,
meet(top,join(complement(converse(X_204)),converse(complement(X_204)))) = meet(top,join(complement(converse(X_204)),converse(complement(X_204)))),
introduced(tautology,[refl,[$fot(meet(top,join(complement(converse(X_204)),converse(complement(X_204)))))]]) ).
cnf(refute_0_1392,plain,
( join(complement(converse(X_204)),converse(complement(X_204))) != converse(complement(X_204))
| meet(top,join(complement(converse(X_204)),converse(complement(X_204)))) != meet(top,join(complement(converse(X_204)),converse(complement(X_204))))
| meet(top,join(complement(converse(X_204)),converse(complement(X_204)))) = meet(top,converse(complement(X_204))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(converse(X_204)),converse(complement(X_204)))),meet(top,join(complement(converse(X_204)),converse(complement(X_204))))) ),[1,1],$fot(converse(complement(X_204)))]]) ).
cnf(refute_0_1393,plain,
( join(complement(converse(X_204)),converse(complement(X_204))) != converse(complement(X_204))
| meet(top,join(complement(converse(X_204)),converse(complement(X_204)))) = meet(top,converse(complement(X_204))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(converse(X_204)),converse(complement(X_204)))),meet(top,join(complement(converse(X_204)),converse(complement(X_204))))) )],[refute_0_1391,refute_0_1392]) ).
cnf(refute_0_1394,plain,
meet(top,join(complement(converse(X_204)),converse(complement(X_204)))) = meet(top,converse(complement(X_204))),
inference(resolve,[$cnf( $equal(join(complement(converse(X_204)),converse(complement(X_204))),converse(complement(X_204))) )],[refute_0_1390,refute_0_1393]) ).
cnf(refute_0_1395,plain,
meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) = meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))),
introduced(tautology,[refl,[$fot(meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))))]]) ).
cnf(refute_0_1396,plain,
( complement(zero) != top
| meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) != meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204))))
| meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) = meet(top,join(complement(converse(X_204)),converse(complement(X_204)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))),meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1397,plain,
( complement(zero) != top
| meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) = meet(top,join(complement(converse(X_204)),converse(complement(X_204)))) ),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))),meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204))))) )],[refute_0_1395,refute_0_1396]) ).
cnf(refute_0_1398,plain,
meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) = meet(top,join(complement(converse(X_204)),converse(complement(X_204)))),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_252,refute_0_1397]) ).
cnf(refute_0_1399,plain,
( meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) != meet(top,join(complement(converse(X_204)),converse(complement(X_204))))
| meet(top,join(complement(converse(X_204)),converse(complement(X_204)))) != meet(top,converse(complement(X_204)))
| meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) = meet(top,converse(complement(X_204))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))))),bind(Y,$fot(meet(top,join(complement(converse(X_204)),converse(complement(X_204)))))),bind(Z,$fot(meet(top,converse(complement(X_204)))))]]) ).
cnf(refute_0_1400,plain,
( meet(top,join(complement(converse(X_204)),converse(complement(X_204)))) != meet(top,converse(complement(X_204)))
| meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) = meet(top,converse(complement(X_204))) ),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))),meet(top,join(complement(converse(X_204)),converse(complement(X_204))))) )],[refute_0_1398,refute_0_1399]) ).
cnf(refute_0_1401,plain,
meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) = meet(top,converse(complement(X_204))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(converse(X_204)),converse(complement(X_204)))),meet(top,converse(complement(X_204)))) )],[refute_0_1394,refute_0_1400]) ).
cnf(refute_0_1402,plain,
( meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) != meet(top,converse(complement(X_204)))
| meet(top,converse(complement(X_204))) != converse(complement(X_204))
| meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) = converse(complement(X_204)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))))),bind(Y,$fot(meet(top,converse(complement(X_204))))),bind(Z,$fot(converse(complement(X_204))))]]) ).
cnf(refute_0_1403,plain,
( meet(top,converse(complement(X_204))) != converse(complement(X_204))
| meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) = converse(complement(X_204)) ),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))),meet(top,converse(complement(X_204)))) )],[refute_0_1401,refute_0_1402]) ).
cnf(refute_0_1404,plain,
meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) = converse(complement(X_204)),
inference(resolve,[$cnf( $equal(meet(top,converse(complement(X_204))),converse(complement(X_204))) )],[refute_0_1330,refute_0_1403]) ).
cnf(refute_0_1405,plain,
( meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) != complement(converse(X_204))
| meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) != converse(complement(X_204))
| converse(complement(X_204)) = complement(converse(X_204)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))),complement(converse(X_204))) ),[0],$fot(converse(complement(X_204)))]]) ).
cnf(refute_0_1406,plain,
( meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))) != complement(converse(X_204))
| converse(complement(X_204)) = complement(converse(X_204)) ),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))),converse(complement(X_204))) )],[refute_0_1404,refute_0_1405]) ).
cnf(refute_0_1407,plain,
converse(complement(X_204)) = complement(converse(X_204)),
inference(resolve,[$cnf( $equal(meet(complement(zero),join(complement(converse(X_204)),converse(complement(X_204)))),complement(converse(X_204))) )],[refute_0_1329,refute_0_1406]) ).
cnf(refute_0_1408,plain,
converse(complement(X_205)) = complement(converse(X_205)),
inference(subst,[],[refute_0_1407:[bind(X_204,$fot(X_205))]]) ).
cnf(refute_0_1409,plain,
( converse(complement(X_205)) != complement(converse(X_205))
| converse(composition(complement(X_205),top)) != composition(top,converse(complement(X_205)))
| converse(composition(complement(X_205),top)) = composition(top,complement(converse(X_205))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(X_205),top)),composition(top,converse(complement(X_205)))) ),[1,1],$fot(complement(converse(X_205)))]]) ).
cnf(refute_0_1410,plain,
( converse(composition(complement(X_205),top)) != composition(top,converse(complement(X_205)))
| converse(composition(complement(X_205),top)) = composition(top,complement(converse(X_205))) ),
inference(resolve,[$cnf( $equal(converse(complement(X_205)),complement(converse(X_205))) )],[refute_0_1408,refute_0_1409]) ).
cnf(refute_0_1411,plain,
converse(composition(complement(X_205),top)) = composition(top,complement(converse(X_205))),
inference(resolve,[$cnf( $equal(converse(composition(complement(X_205),top)),composition(top,converse(complement(X_205)))) )],[refute_0_1257,refute_0_1410]) ).
cnf(refute_0_1412,plain,
( converse(composition(complement(X_205),top)) != composition(top,complement(converse(X_205)))
| composition(top,complement(converse(X_205))) = converse(composition(complement(X_205),top)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(complement(X_205),top)))),bind(Y,$fot(composition(top,complement(converse(X_205)))))]]) ).
cnf(refute_0_1413,plain,
composition(top,complement(converse(X_205))) = converse(composition(complement(X_205),top)),
inference(resolve,[$cnf( $equal(converse(composition(complement(X_205),top)),composition(top,complement(converse(X_205)))) )],[refute_0_1411,refute_0_1412]) ).
cnf(refute_0_1414,plain,
composition(top,complement(converse(X_15))) = converse(composition(complement(X_15),top)),
inference(subst,[],[refute_0_1413:[bind(X_205,$fot(X_15))]]) ).
cnf(refute_0_1415,plain,
join(zero,composition(top,complement(converse(X_15)))) = join(zero,composition(top,complement(converse(X_15)))),
introduced(tautology,[refl,[$fot(join(zero,composition(top,complement(converse(X_15)))))]]) ).
cnf(refute_0_1416,plain,
( composition(top,complement(converse(X_15))) != converse(composition(complement(X_15),top))
| join(zero,composition(top,complement(converse(X_15)))) != join(zero,composition(top,complement(converse(X_15))))
| join(zero,composition(top,complement(converse(X_15)))) = join(zero,converse(composition(complement(X_15),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(top,complement(converse(X_15)))),join(zero,composition(top,complement(converse(X_15))))) ),[1,1],$fot(converse(composition(complement(X_15),top)))]]) ).
cnf(refute_0_1417,plain,
( composition(top,complement(converse(X_15))) != converse(composition(complement(X_15),top))
| join(zero,composition(top,complement(converse(X_15)))) = join(zero,converse(composition(complement(X_15),top))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(converse(X_15)))),join(zero,composition(top,complement(converse(X_15))))) )],[refute_0_1415,refute_0_1416]) ).
cnf(refute_0_1418,plain,
join(zero,composition(top,complement(converse(X_15)))) = join(zero,converse(composition(complement(X_15),top))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(X_15))),converse(composition(complement(X_15),top))) )],[refute_0_1414,refute_0_1417]) ).
cnf(refute_0_1419,plain,
join(complement(top),composition(top,complement(converse(X_15)))) = join(complement(top),composition(top,complement(converse(X_15)))),
introduced(tautology,[refl,[$fot(join(complement(top),composition(top,complement(converse(X_15)))))]]) ).
cnf(refute_0_1420,plain,
( complement(top) != zero
| join(complement(top),composition(top,complement(converse(X_15)))) != join(complement(top),composition(top,complement(converse(X_15))))
| join(complement(top),composition(top,complement(converse(X_15)))) = join(zero,composition(top,complement(converse(X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(top,complement(converse(X_15)))),join(complement(top),composition(top,complement(converse(X_15))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1421,plain,
( complement(top) != zero
| join(complement(top),composition(top,complement(converse(X_15)))) = join(zero,composition(top,complement(converse(X_15)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(top,complement(converse(X_15)))),join(complement(top),composition(top,complement(converse(X_15))))) )],[refute_0_1419,refute_0_1420]) ).
cnf(refute_0_1422,plain,
join(complement(top),composition(top,complement(converse(X_15)))) = join(zero,composition(top,complement(converse(X_15)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_154,refute_0_1421]) ).
cnf(refute_0_1423,plain,
( join(complement(top),composition(top,complement(converse(X_15)))) != join(zero,composition(top,complement(converse(X_15))))
| join(zero,composition(top,complement(converse(X_15)))) != join(zero,converse(composition(complement(X_15),top)))
| join(complement(top),composition(top,complement(converse(X_15)))) = join(zero,converse(composition(complement(X_15),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),composition(top,complement(converse(X_15)))))),bind(Y,$fot(join(zero,composition(top,complement(converse(X_15)))))),bind(Z,$fot(join(zero,converse(composition(complement(X_15),top)))))]]) ).
cnf(refute_0_1424,plain,
( join(zero,composition(top,complement(converse(X_15)))) != join(zero,converse(composition(complement(X_15),top)))
| join(complement(top),composition(top,complement(converse(X_15)))) = join(zero,converse(composition(complement(X_15),top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(top,complement(converse(X_15)))),join(zero,composition(top,complement(converse(X_15))))) )],[refute_0_1422,refute_0_1423]) ).
cnf(refute_0_1425,plain,
join(complement(top),composition(top,complement(converse(X_15)))) = join(zero,converse(composition(complement(X_15),top))),
inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(converse(X_15)))),join(zero,converse(composition(complement(X_15),top)))) )],[refute_0_1418,refute_0_1424]) ).
cnf(refute_0_1426,plain,
( join(complement(top),composition(top,complement(converse(X_15)))) != join(zero,converse(composition(complement(X_15),top)))
| join(zero,converse(composition(complement(X_15),top))) != converse(composition(complement(X_15),top))
| join(complement(top),composition(top,complement(converse(X_15)))) = converse(composition(complement(X_15),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),composition(top,complement(converse(X_15)))))),bind(Y,$fot(join(zero,converse(composition(complement(X_15),top))))),bind(Z,$fot(converse(composition(complement(X_15),top))))]]) ).
cnf(refute_0_1427,plain,
( join(zero,converse(composition(complement(X_15),top))) != converse(composition(complement(X_15),top))
| join(complement(top),composition(top,complement(converse(X_15)))) = converse(composition(complement(X_15),top)) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(top,complement(converse(X_15)))),join(zero,converse(composition(complement(X_15),top)))) )],[refute_0_1425,refute_0_1426]) ).
cnf(refute_0_1428,plain,
join(complement(top),composition(top,complement(converse(X_15)))) = converse(composition(complement(X_15),top)),
inference(resolve,[$cnf( $equal(join(zero,converse(composition(complement(X_15),top))),converse(composition(complement(X_15),top))) )],[refute_0_1248,refute_0_1427]) ).
cnf(refute_0_1429,plain,
converse(join(complement(top),composition(top,complement(converse(X_15))))) = converse(join(complement(top),composition(top,complement(converse(X_15))))),
introduced(tautology,[refl,[$fot(converse(join(complement(top),composition(top,complement(converse(X_15))))))]]) ).
cnf(refute_0_1430,plain,
( converse(join(complement(top),composition(top,complement(converse(X_15))))) != converse(join(complement(top),composition(top,complement(converse(X_15)))))
| join(complement(top),composition(top,complement(converse(X_15)))) != converse(composition(complement(X_15),top))
| converse(join(complement(top),composition(top,complement(converse(X_15))))) = converse(converse(composition(complement(X_15),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(top),composition(top,complement(converse(X_15))))),converse(join(complement(top),composition(top,complement(converse(X_15)))))) ),[1,0],$fot(converse(composition(complement(X_15),top)))]]) ).
cnf(refute_0_1431,plain,
( join(complement(top),composition(top,complement(converse(X_15)))) != converse(composition(complement(X_15),top))
| converse(join(complement(top),composition(top,complement(converse(X_15))))) = converse(converse(composition(complement(X_15),top))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(top),composition(top,complement(converse(X_15))))),converse(join(complement(top),composition(top,complement(converse(X_15)))))) )],[refute_0_1429,refute_0_1430]) ).
cnf(refute_0_1432,plain,
converse(join(complement(top),composition(top,complement(converse(X_15))))) = converse(converse(composition(complement(X_15),top))),
inference(resolve,[$cnf( $equal(join(complement(top),composition(top,complement(converse(X_15)))),converse(composition(complement(X_15),top))) )],[refute_0_1428,refute_0_1431]) ).
cnf(refute_0_1433,plain,
( converse(converse(composition(complement(X_15),top))) != composition(complement(X_15),top)
| converse(join(complement(top),composition(top,complement(converse(X_15))))) != converse(converse(composition(complement(X_15),top)))
| converse(join(complement(top),composition(top,complement(converse(X_15))))) = composition(complement(X_15),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(top),composition(top,complement(converse(X_15))))))),bind(Y,$fot(converse(converse(composition(complement(X_15),top))))),bind(Z,$fot(composition(complement(X_15),top)))]]) ).
cnf(refute_0_1434,plain,
( converse(converse(composition(complement(X_15),top))) != composition(complement(X_15),top)
| converse(join(complement(top),composition(top,complement(converse(X_15))))) = composition(complement(X_15),top) ),
inference(resolve,[$cnf( $equal(converse(join(complement(top),composition(top,complement(converse(X_15))))),converse(converse(composition(complement(X_15),top)))) )],[refute_0_1432,refute_0_1433]) ).
cnf(refute_0_1435,plain,
converse(join(complement(top),composition(top,complement(converse(X_15))))) = composition(complement(X_15),top),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(X_15),top))),composition(complement(X_15),top)) )],[refute_0_1247,refute_0_1434]) ).
cnf(refute_0_1436,plain,
join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15)))))) = join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15)))))),
introduced(tautology,[refl,[$fot(join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15)))))))]]) ).
cnf(refute_0_1437,plain,
( converse(join(complement(top),composition(top,complement(converse(X_15))))) != composition(complement(X_15),top)
| join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15)))))) != join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15))))))
| join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15)))))) = join(X_15,composition(complement(X_15),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15)))))),join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15))))))) ),[1,1],$fot(composition(complement(X_15),top))]]) ).
cnf(refute_0_1438,plain,
( converse(join(complement(top),composition(top,complement(converse(X_15))))) != composition(complement(X_15),top)
| join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15)))))) = join(X_15,composition(complement(X_15),top)) ),
inference(resolve,[$cnf( $equal(join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15)))))),join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15))))))) )],[refute_0_1436,refute_0_1437]) ).
cnf(refute_0_1439,plain,
join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15)))))) = join(X_15,composition(complement(X_15),top)),
inference(resolve,[$cnf( $equal(converse(join(complement(top),composition(top,complement(converse(X_15))))),composition(complement(X_15),top)) )],[refute_0_1435,refute_0_1438]) ).
cnf(refute_0_1440,plain,
converse(join(converse(X0),join(X_113,X_112))) = join(X0,converse(join(X_113,X_112))),
inference(subst,[],[refute_0_420:[bind(X_16,$fot(join(X_113,X_112)))]]) ).
cnf(refute_0_1441,plain,
join(converse(X_16),converse(X_15)) = join(converse(X_15),converse(X_16)),
inference(subst,[],[refute_0_13:[bind(X0,$fot(converse(X_16))),bind(X1,$fot(converse(X_15)))]]) ).
cnf(refute_0_1442,plain,
converse(join(X_15,X_16)) = join(converse(X_15),converse(X_16)),
inference(subst,[],[refute_0_416:[bind(X0,$fot(X_15)),bind(X1,$fot(X_16))]]) ).
cnf(refute_0_1443,plain,
( converse(join(X_15,X_16)) != join(converse(X_15),converse(X_16))
| join(converse(X_15),converse(X_16)) = converse(join(X_15,X_16)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(X_15,X_16)))),bind(Y,$fot(join(converse(X_15),converse(X_16))))]]) ).
cnf(refute_0_1444,plain,
join(converse(X_15),converse(X_16)) = converse(join(X_15,X_16)),
inference(resolve,[$cnf( $equal(converse(join(X_15,X_16)),join(converse(X_15),converse(X_16))) )],[refute_0_1442,refute_0_1443]) ).
cnf(refute_0_1445,plain,
( join(converse(X_15),converse(X_16)) != converse(join(X_15,X_16))
| join(converse(X_16),converse(X_15)) != join(converse(X_15),converse(X_16))
| join(converse(X_16),converse(X_15)) = converse(join(X_15,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_16),converse(X_15)),join(converse(X_15),converse(X_16))) ),[1],$fot(converse(join(X_15,X_16)))]]) ).
cnf(refute_0_1446,plain,
( join(converse(X_16),converse(X_15)) != join(converse(X_15),converse(X_16))
| join(converse(X_16),converse(X_15)) = converse(join(X_15,X_16)) ),
inference(resolve,[$cnf( $equal(join(converse(X_15),converse(X_16)),converse(join(X_15,X_16))) )],[refute_0_1444,refute_0_1445]) ).
cnf(refute_0_1447,plain,
join(converse(X_16),converse(X_15)) = converse(join(X_15,X_16)),
inference(resolve,[$cnf( $equal(join(converse(X_16),converse(X_15)),join(converse(X_15),converse(X_16))) )],[refute_0_1441,refute_0_1446]) ).
cnf(refute_0_1448,plain,
join(converse(X_16),converse(X_15)) = converse(join(X_16,X_15)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_16)),bind(X1,$fot(X_15))]]) ).
cnf(refute_0_1449,plain,
( join(converse(X_16),converse(X_15)) != converse(join(X_15,X_16))
| join(converse(X_16),converse(X_15)) != converse(join(X_16,X_15))
| converse(join(X_16,X_15)) = converse(join(X_15,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_16),converse(X_15)),converse(join(X_15,X_16))) ),[0],$fot(converse(join(X_16,X_15)))]]) ).
cnf(refute_0_1450,plain,
( join(converse(X_16),converse(X_15)) != converse(join(X_15,X_16))
| converse(join(X_16,X_15)) = converse(join(X_15,X_16)) ),
inference(resolve,[$cnf( $equal(join(converse(X_16),converse(X_15)),converse(join(X_16,X_15))) )],[refute_0_1448,refute_0_1449]) ).
cnf(refute_0_1451,plain,
converse(join(X_16,X_15)) = converse(join(X_15,X_16)),
inference(resolve,[$cnf( $equal(join(converse(X_16),converse(X_15)),converse(join(X_15,X_16))) )],[refute_0_1447,refute_0_1450]) ).
cnf(refute_0_1452,plain,
converse(join(X_113,X_112)) = converse(join(X_112,X_113)),
inference(subst,[],[refute_0_1451:[bind(X_15,$fot(X_112)),bind(X_16,$fot(X_113))]]) ).
cnf(refute_0_1453,plain,
( converse(join(X_113,X_112)) != converse(join(X_112,X_113))
| converse(join(converse(X0),join(X_113,X_112))) != join(X0,converse(join(X_113,X_112)))
| converse(join(converse(X0),join(X_113,X_112))) = join(X0,converse(join(X_112,X_113))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_113,X_112))),join(X0,converse(join(X_113,X_112)))) ),[1,1],$fot(converse(join(X_112,X_113)))]]) ).
cnf(refute_0_1454,plain,
( converse(join(converse(X0),join(X_113,X_112))) != join(X0,converse(join(X_113,X_112)))
| converse(join(converse(X0),join(X_113,X_112))) = join(X0,converse(join(X_112,X_113))) ),
inference(resolve,[$cnf( $equal(converse(join(X_113,X_112)),converse(join(X_112,X_113))) )],[refute_0_1452,refute_0_1453]) ).
cnf(refute_0_1455,plain,
converse(join(converse(X0),join(X_113,X_112))) = join(X0,converse(join(X_112,X_113))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_113,X_112))),join(X0,converse(join(X_113,X_112)))) )],[refute_0_1440,refute_0_1454]) ).
cnf(refute_0_1456,plain,
( converse(join(converse(X0),join(X_113,X_112))) != join(X0,converse(join(X_112,X_113)))
| converse(join(converse(X0),join(X_113,X_112))) != join(X0,converse(join(X_113,X_112)))
| join(X0,converse(join(X_113,X_112))) = join(X0,converse(join(X_112,X_113))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_113,X_112))),join(X0,converse(join(X_112,X_113)))) ),[0],$fot(join(X0,converse(join(X_113,X_112))))]]) ).
cnf(refute_0_1457,plain,
( converse(join(converse(X0),join(X_113,X_112))) != join(X0,converse(join(X_112,X_113)))
| join(X0,converse(join(X_113,X_112))) = join(X0,converse(join(X_112,X_113))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_113,X_112))),join(X0,converse(join(X_113,X_112)))) )],[refute_0_1440,refute_0_1456]) ).
cnf(refute_0_1458,plain,
join(X0,converse(join(X_113,X_112))) = join(X0,converse(join(X_112,X_113))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_113,X_112))),join(X0,converse(join(X_112,X_113)))) )],[refute_0_1455,refute_0_1457]) ).
cnf(refute_0_1459,plain,
( join(X0,converse(join(X_113,X_112))) != join(X0,converse(join(X_112,X_113)))
| join(X0,converse(join(X_112,X_113))) = join(X0,converse(join(X_113,X_112))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,converse(join(X_113,X_112))))),bind(Y,$fot(join(X0,converse(join(X_112,X_113)))))]]) ).
cnf(refute_0_1460,plain,
join(X0,converse(join(X_112,X_113))) = join(X0,converse(join(X_113,X_112))),
inference(resolve,[$cnf( $equal(join(X0,converse(join(X_113,X_112))),join(X0,converse(join(X_112,X_113)))) )],[refute_0_1458,refute_0_1459]) ).
cnf(refute_0_1461,plain,
join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(top)))) = join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15)))))),
inference(subst,[],[refute_0_1460:[bind(X0,$fot(X_15)),bind(X_112,$fot(composition(top,complement(converse(X_15))))),bind(X_113,$fot(complement(top)))]]) ).
cnf(refute_0_1462,plain,
( join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15)))))) != join(X_15,composition(complement(X_15),top))
| join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(top)))) != join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15))))))
| join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(top)))) = join(X_15,composition(complement(X_15),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(top)))))),bind(Y,$fot(join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15)))))))),bind(Z,$fot(join(X_15,composition(complement(X_15),top))))]]) ).
cnf(refute_0_1463,plain,
( join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15)))))) != join(X_15,composition(complement(X_15),top))
| join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(top)))) = join(X_15,composition(complement(X_15),top)) ),
inference(resolve,[$cnf( $equal(join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(top)))),join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15))))))) )],[refute_0_1461,refute_0_1462]) ).
cnf(refute_0_1464,plain,
join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(top)))) = join(X_15,composition(complement(X_15),top)),
inference(resolve,[$cnf( $equal(join(X_15,converse(join(complement(top),composition(top,complement(converse(X_15)))))),join(X_15,composition(complement(X_15),top))) )],[refute_0_1439,refute_0_1463]) ).
cnf(refute_0_1465,plain,
( join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(top)))) != join(X_15,composition(complement(X_15),top))
| top != join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(top))))
| top = join(X_15,composition(complement(X_15),top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(top))))) ),[1],$fot(join(X_15,composition(complement(X_15),top)))]]) ).
cnf(refute_0_1466,plain,
( top != join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(top))))
| top = join(X_15,composition(complement(X_15),top)) ),
inference(resolve,[$cnf( $equal(join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(top)))),join(X_15,composition(complement(X_15),top))) )],[refute_0_1464,refute_0_1465]) ).
cnf(refute_0_1467,plain,
top = join(X_15,composition(complement(X_15),top)),
inference(resolve,[$cnf( $equal(top,join(X_15,converse(join(composition(top,complement(converse(X_15))),complement(top))))) )],[refute_0_1246,refute_0_1466]) ).
cnf(refute_0_1468,plain,
top = join(X_261,composition(complement(X_261),top)),
inference(subst,[],[refute_0_1467:[bind(X_15,$fot(X_261))]]) ).
cnf(refute_0_1469,plain,
( top != join(X_261,composition(complement(X_261),top))
| join(X_261,composition(complement(X_261),top)) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(X_261,composition(complement(X_261),top))))]]) ).
cnf(refute_0_1470,plain,
join(X_261,composition(complement(X_261),top)) = top,
inference(resolve,[$cnf( $equal(top,join(X_261,composition(complement(X_261),top))) )],[refute_0_1468,refute_0_1469]) ).
cnf(refute_0_1471,plain,
( join(X_260,join(X_261,composition(complement(X_261),top))) != join(X_261,join(X_260,composition(complement(X_261),top)))
| join(X_261,composition(complement(X_261),top)) != top
| join(X_260,top) = join(X_261,join(X_260,composition(complement(X_261),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_260,join(X_261,composition(complement(X_261),top))),join(X_261,join(X_260,composition(complement(X_261),top)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_1472,plain,
( join(X_260,join(X_261,composition(complement(X_261),top))) != join(X_261,join(X_260,composition(complement(X_261),top)))
| join(X_260,top) = join(X_261,join(X_260,composition(complement(X_261),top))) ),
inference(resolve,[$cnf( $equal(join(X_261,composition(complement(X_261),top)),top) )],[refute_0_1470,refute_0_1471]) ).
cnf(refute_0_1473,plain,
join(X_260,top) = join(X_261,join(X_260,composition(complement(X_261),top))),
inference(resolve,[$cnf( $equal(join(X_260,join(X_261,composition(complement(X_261),top))),join(X_261,join(X_260,composition(complement(X_261),top)))) )],[refute_0_415,refute_0_1472]) ).
cnf(refute_0_1474,plain,
( top != join(X_62,top)
| join(X_62,top) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(X_62,top)))]]) ).
cnf(refute_0_1475,plain,
join(X_62,top) = top,
inference(resolve,[$cnf( $equal(top,join(X_62,top)) )],[refute_0_830,refute_0_1474]) ).
cnf(refute_0_1476,plain,
join(X_260,top) = top,
inference(subst,[],[refute_0_1475:[bind(X_62,$fot(X_260))]]) ).
cnf(refute_0_1477,plain,
( join(X_260,top) != join(X_261,join(X_260,composition(complement(X_261),top)))
| join(X_260,top) != top
| top = join(X_261,join(X_260,composition(complement(X_261),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_260,top),join(X_261,join(X_260,composition(complement(X_261),top)))) ),[0],$fot(top)]]) ).
cnf(refute_0_1478,plain,
( join(X_260,top) != join(X_261,join(X_260,composition(complement(X_261),top)))
| top = join(X_261,join(X_260,composition(complement(X_261),top))) ),
inference(resolve,[$cnf( $equal(join(X_260,top),top) )],[refute_0_1476,refute_0_1477]) ).
cnf(refute_0_1479,plain,
top = join(X_261,join(X_260,composition(complement(X_261),top))),
inference(resolve,[$cnf( $equal(join(X_260,top),join(X_261,join(X_260,composition(complement(X_261),top)))) )],[refute_0_1473,refute_0_1478]) ).
cnf(refute_0_1480,plain,
top = join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),composition(complement(meet(X_297,X_298)),top))),
inference(subst,[],[refute_0_1479:[bind(X_260,$fot(meet(X_298,complement(X_297)))),bind(X_261,$fot(meet(X_297,X_298)))]]) ).
cnf(refute_0_1481,plain,
join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),X_82)) = join(join(meet(X_47,X_48),meet(X_48,complement(X_47))),X_82),
inference(subst,[],[refute_0_260:[bind(X0,$fot(meet(X_47,X_48))),bind(X1,$fot(meet(X_48,complement(X_47)))),bind(X2,$fot(X_82))]]) ).
cnf(refute_0_1482,plain,
meet(X_47,X_48) = meet(X_48,X_47),
inference(subst,[],[refute_0_168:[bind(X_10,$fot(X_47)),bind(X_11,$fot(X_48))]]) ).
cnf(refute_0_1483,plain,
( meet(X_47,X_48) != meet(X_48,X_47)
| meet(X_48,X_47) = meet(X_47,X_48) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_47,X_48))),bind(Y,$fot(meet(X_48,X_47)))]]) ).
cnf(refute_0_1484,plain,
meet(X_48,X_47) = meet(X_47,X_48),
inference(resolve,[$cnf( $equal(meet(X_47,X_48),meet(X_48,X_47)) )],[refute_0_1482,refute_0_1483]) ).
cnf(refute_0_1485,plain,
( X_48 != join(meet(X_48,X_47),meet(X_48,complement(X_47)))
| meet(X_48,X_47) != meet(X_47,X_48)
| X_48 = join(meet(X_47,X_48),meet(X_48,complement(X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(X_48,join(meet(X_48,X_47),meet(X_48,complement(X_47)))) ),[1,0],$fot(meet(X_47,X_48))]]) ).
cnf(refute_0_1486,plain,
( X_48 != join(meet(X_48,X_47),meet(X_48,complement(X_47)))
| X_48 = join(meet(X_47,X_48),meet(X_48,complement(X_47))) ),
inference(resolve,[$cnf( $equal(meet(X_48,X_47),meet(X_47,X_48)) )],[refute_0_1484,refute_0_1485]) ).
cnf(refute_0_1487,plain,
X_48 = join(meet(X_47,X_48),meet(X_48,complement(X_47))),
inference(resolve,[$cnf( $equal(X_48,join(meet(X_48,X_47),meet(X_48,complement(X_47)))) )],[refute_0_754,refute_0_1486]) ).
cnf(refute_0_1488,plain,
( X_48 != join(meet(X_47,X_48),meet(X_48,complement(X_47)))
| join(meet(X_47,X_48),meet(X_48,complement(X_47))) = X_48 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_48)),bind(Y,$fot(join(meet(X_47,X_48),meet(X_48,complement(X_47)))))]]) ).
cnf(refute_0_1489,plain,
join(meet(X_47,X_48),meet(X_48,complement(X_47))) = X_48,
inference(resolve,[$cnf( $equal(X_48,join(meet(X_47,X_48),meet(X_48,complement(X_47)))) )],[refute_0_1487,refute_0_1488]) ).
cnf(refute_0_1490,plain,
( join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),X_82)) != join(join(meet(X_47,X_48),meet(X_48,complement(X_47))),X_82)
| join(meet(X_47,X_48),meet(X_48,complement(X_47))) != X_48
| join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),X_82)) = join(X_48,X_82) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),X_82)),join(join(meet(X_47,X_48),meet(X_48,complement(X_47))),X_82)) ),[1,0],$fot(X_48)]]) ).
cnf(refute_0_1491,plain,
( join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),X_82)) != join(join(meet(X_47,X_48),meet(X_48,complement(X_47))),X_82)
| join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),X_82)) = join(X_48,X_82) ),
inference(resolve,[$cnf( $equal(join(meet(X_47,X_48),meet(X_48,complement(X_47))),X_48) )],[refute_0_1489,refute_0_1490]) ).
cnf(refute_0_1492,plain,
join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),X_82)) = join(X_48,X_82),
inference(resolve,[$cnf( $equal(join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),X_82)),join(join(meet(X_47,X_48),meet(X_48,complement(X_47))),X_82)) )],[refute_0_1481,refute_0_1491]) ).
cnf(refute_0_1493,plain,
join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),composition(complement(meet(X_297,X_298)),top))) = join(X_298,composition(complement(meet(X_297,X_298)),top)),
inference(subst,[],[refute_0_1492:[bind(X_47,$fot(X_297)),bind(X_48,$fot(X_298)),bind(X_82,$fot(composition(complement(meet(X_297,X_298)),top)))]]) ).
cnf(refute_0_1494,plain,
( join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),composition(complement(meet(X_297,X_298)),top))) != join(X_298,composition(complement(meet(X_297,X_298)),top))
| top != join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),composition(complement(meet(X_297,X_298)),top)))
| top = join(X_298,composition(complement(meet(X_297,X_298)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),composition(complement(meet(X_297,X_298)),top)))) ),[1],$fot(join(X_298,composition(complement(meet(X_297,X_298)),top)))]]) ).
cnf(refute_0_1495,plain,
( top != join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),composition(complement(meet(X_297,X_298)),top)))
| top = join(X_298,composition(complement(meet(X_297,X_298)),top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),composition(complement(meet(X_297,X_298)),top))),join(X_298,composition(complement(meet(X_297,X_298)),top))) )],[refute_0_1493,refute_0_1494]) ).
cnf(refute_0_1496,plain,
top = join(X_298,composition(complement(meet(X_297,X_298)),top)),
inference(resolve,[$cnf( $equal(top,join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),composition(complement(meet(X_297,X_298)),top)))) )],[refute_0_1480,refute_0_1495]) ).
cnf(refute_0_1497,plain,
top = join(complement(X_311),composition(complement(meet(complement(X_310),complement(X_311))),top)),
inference(subst,[],[refute_0_1496:[bind(X_297,$fot(complement(X_310))),bind(X_298,$fot(complement(X_311)))]]) ).
cnf(refute_0_1498,plain,
meet(complement(X_139),complement(X_39)) = complement(join(X_139,complement(complement(X_39)))),
inference(subst,[],[refute_0_372:[bind(X_135,$fot(complement(X_39))),bind(X_137,$fot(X_139))]]) ).
cnf(refute_0_1499,plain,
( complement(complement(X_39)) != X_39
| meet(complement(X_139),complement(X_39)) != complement(join(X_139,complement(complement(X_39))))
| meet(complement(X_139),complement(X_39)) = complement(join(X_139,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_139),complement(X_39)),complement(join(X_139,complement(complement(X_39))))) ),[1,0,1],$fot(X_39)]]) ).
cnf(refute_0_1500,plain,
( meet(complement(X_139),complement(X_39)) != complement(join(X_139,complement(complement(X_39))))
| meet(complement(X_139),complement(X_39)) = complement(join(X_139,X_39)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_39)),X_39) )],[refute_0_340,refute_0_1499]) ).
cnf(refute_0_1501,plain,
meet(complement(X_139),complement(X_39)) = complement(join(X_139,X_39)),
inference(resolve,[$cnf( $equal(meet(complement(X_139),complement(X_39)),complement(join(X_139,complement(complement(X_39))))) )],[refute_0_1498,refute_0_1500]) ).
cnf(refute_0_1502,plain,
meet(complement(X_310),complement(X_311)) = complement(join(X_310,X_311)),
inference(subst,[],[refute_0_1501:[bind(X_139,$fot(X_310)),bind(X_39,$fot(X_311))]]) ).
cnf(refute_0_1503,plain,
( meet(complement(X_310),complement(X_311)) != complement(join(X_310,X_311))
| top != join(complement(X_311),composition(complement(meet(complement(X_310),complement(X_311))),top))
| top = join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_311),composition(complement(meet(complement(X_310),complement(X_311))),top))) ),[1,1,0,0],$fot(complement(join(X_310,X_311)))]]) ).
cnf(refute_0_1504,plain,
( top != join(complement(X_311),composition(complement(meet(complement(X_310),complement(X_311))),top))
| top = join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_310),complement(X_311)),complement(join(X_310,X_311))) )],[refute_0_1502,refute_0_1503]) ).
cnf(refute_0_1505,plain,
top = join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top)),
inference(resolve,[$cnf( $equal(top,join(complement(X_311),composition(complement(meet(complement(X_310),complement(X_311))),top))) )],[refute_0_1497,refute_0_1504]) ).
cnf(refute_0_1506,plain,
complement(complement(join(X_310,X_311))) = join(X_310,X_311),
inference(subst,[],[refute_0_340:[bind(X_39,$fot(join(X_310,X_311)))]]) ).
cnf(refute_0_1507,plain,
composition(complement(complement(join(X_310,X_311))),top) = composition(complement(complement(join(X_310,X_311))),top),
introduced(tautology,[refl,[$fot(composition(complement(complement(join(X_310,X_311))),top))]]) ).
cnf(refute_0_1508,plain,
( complement(complement(join(X_310,X_311))) != join(X_310,X_311)
| composition(complement(complement(join(X_310,X_311))),top) != composition(complement(complement(join(X_310,X_311))),top)
| composition(complement(complement(join(X_310,X_311))),top) = composition(join(X_310,X_311),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(complement(join(X_310,X_311))),top),composition(complement(complement(join(X_310,X_311))),top)) ),[1,0],$fot(join(X_310,X_311))]]) ).
cnf(refute_0_1509,plain,
( complement(complement(join(X_310,X_311))) != join(X_310,X_311)
| composition(complement(complement(join(X_310,X_311))),top) = composition(join(X_310,X_311),top) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(join(X_310,X_311))),top),composition(complement(complement(join(X_310,X_311))),top)) )],[refute_0_1507,refute_0_1508]) ).
cnf(refute_0_1510,plain,
composition(complement(complement(join(X_310,X_311))),top) = composition(join(X_310,X_311),top),
inference(resolve,[$cnf( $equal(complement(complement(join(X_310,X_311))),join(X_310,X_311)) )],[refute_0_1506,refute_0_1509]) ).
cnf(refute_0_1511,plain,
join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top)) = join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top)),
introduced(tautology,[refl,[$fot(join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top)))]]) ).
cnf(refute_0_1512,plain,
( composition(complement(complement(join(X_310,X_311))),top) != composition(join(X_310,X_311),top)
| join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top)) != join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top))
| join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top)) = join(complement(X_311),composition(join(X_310,X_311),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top)),join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top))) ),[1,1],$fot(composition(join(X_310,X_311),top))]]) ).
cnf(refute_0_1513,plain,
( composition(complement(complement(join(X_310,X_311))),top) != composition(join(X_310,X_311),top)
| join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top)) = join(complement(X_311),composition(join(X_310,X_311),top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top)),join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top))) )],[refute_0_1511,refute_0_1512]) ).
cnf(refute_0_1514,plain,
join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top)) = join(complement(X_311),composition(join(X_310,X_311),top)),
inference(resolve,[$cnf( $equal(composition(complement(complement(join(X_310,X_311))),top),composition(join(X_310,X_311),top)) )],[refute_0_1510,refute_0_1513]) ).
cnf(refute_0_1515,plain,
( join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top)) != join(complement(X_311),composition(join(X_310,X_311),top))
| top != join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top))
| top = join(complement(X_311),composition(join(X_310,X_311),top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top))) ),[1],$fot(join(complement(X_311),composition(join(X_310,X_311),top)))]]) ).
cnf(refute_0_1516,plain,
( top != join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top))
| top = join(complement(X_311),composition(join(X_310,X_311),top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top)),join(complement(X_311),composition(join(X_310,X_311),top))) )],[refute_0_1514,refute_0_1515]) ).
cnf(refute_0_1517,plain,
top = join(complement(X_311),composition(join(X_310,X_311),top)),
inference(resolve,[$cnf( $equal(top,join(complement(X_311),composition(complement(complement(join(X_310,X_311))),top))) )],[refute_0_1505,refute_0_1516]) ).
cnf(refute_0_1518,plain,
top = join(complement(meet(X_310,X_660)),composition(join(X_310,meet(X_310,X_660)),top)),
inference(subst,[],[refute_0_1517:[bind(X_311,$fot(meet(X_310,X_660)))]]) ).
cnf(refute_0_1519,plain,
join(meet(X_47,X_48),meet(X_48,complement(X_47))) = join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47)))),
inference(subst,[],[refute_0_1068:[bind(X_81,$fot(meet(X_47,X_48))),bind(X_82,$fot(meet(X_48,complement(X_47))))]]) ).
cnf(refute_0_1520,plain,
( join(meet(X_47,X_48),meet(X_48,complement(X_47))) != X_48
| join(meet(X_47,X_48),meet(X_48,complement(X_47))) != join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47))))
| X_48 = join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_47,X_48),meet(X_48,complement(X_47))),join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47))))) ),[0],$fot(X_48)]]) ).
cnf(refute_0_1521,plain,
( join(meet(X_47,X_48),meet(X_48,complement(X_47))) != join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47))))
| X_48 = join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_47,X_48),meet(X_48,complement(X_47))),X_48) )],[refute_0_1489,refute_0_1520]) ).
cnf(refute_0_1522,plain,
X_48 = join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47)))),
inference(resolve,[$cnf( $equal(join(meet(X_47,X_48),meet(X_48,complement(X_47))),join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47))))) )],[refute_0_1519,refute_0_1521]) ).
cnf(refute_0_1523,plain,
join(meet(X_48,complement(X_47)),X_48) = join(X_48,meet(X_48,complement(X_47))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(X_48)),bind(X1,$fot(meet(X_48,complement(X_47))))]]) ).
cnf(refute_0_1524,plain,
join(meet(X_48,complement(X_47)),join(X_130,meet(X_47,X_48))) = join(X_130,join(meet(X_47,X_48),meet(X_48,complement(X_47)))),
inference(subst,[],[refute_0_922:[bind(X0,$fot(meet(X_48,complement(X_47)))),bind(X_80,$fot(X_130)),bind(X_81,$fot(meet(X_47,X_48)))]]) ).
cnf(refute_0_1525,plain,
( join(meet(X_47,X_48),meet(X_48,complement(X_47))) != X_48
| join(meet(X_48,complement(X_47)),join(X_130,meet(X_47,X_48))) != join(X_130,join(meet(X_47,X_48),meet(X_48,complement(X_47))))
| join(meet(X_48,complement(X_47)),join(X_130,meet(X_47,X_48))) = join(X_130,X_48) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_48,complement(X_47)),join(X_130,meet(X_47,X_48))),join(X_130,join(meet(X_47,X_48),meet(X_48,complement(X_47))))) ),[1,1],$fot(X_48)]]) ).
cnf(refute_0_1526,plain,
( join(meet(X_48,complement(X_47)),join(X_130,meet(X_47,X_48))) != join(X_130,join(meet(X_47,X_48),meet(X_48,complement(X_47))))
| join(meet(X_48,complement(X_47)),join(X_130,meet(X_47,X_48))) = join(X_130,X_48) ),
inference(resolve,[$cnf( $equal(join(meet(X_47,X_48),meet(X_48,complement(X_47))),X_48) )],[refute_0_1489,refute_0_1525]) ).
cnf(refute_0_1527,plain,
join(meet(X_48,complement(X_47)),join(X_130,meet(X_47,X_48))) = join(X_130,X_48),
inference(resolve,[$cnf( $equal(join(meet(X_48,complement(X_47)),join(X_130,meet(X_47,X_48))),join(X_130,join(meet(X_47,X_48),meet(X_48,complement(X_47))))) )],[refute_0_1524,refute_0_1526]) ).
cnf(refute_0_1528,plain,
join(meet(X_48,complement(X_47)),join(X_130,meet(X_47,X_48))) = join(meet(X_47,X_48),join(X_130,meet(X_48,complement(X_47)))),
inference(subst,[],[refute_0_1087:[bind(X_129,$fot(meet(X_47,X_48))),bind(X_130,$fot(meet(X_48,complement(X_47)))),bind(X_131,$fot(X_130))]]) ).
cnf(refute_0_1529,plain,
( join(meet(X_48,complement(X_47)),join(X_130,meet(X_47,X_48))) != join(X_130,X_48)
| join(meet(X_48,complement(X_47)),join(X_130,meet(X_47,X_48))) != join(meet(X_47,X_48),join(X_130,meet(X_48,complement(X_47))))
| join(meet(X_47,X_48),join(X_130,meet(X_48,complement(X_47)))) = join(X_130,X_48) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_48,complement(X_47)),join(X_130,meet(X_47,X_48))),join(X_130,X_48)) ),[0],$fot(join(meet(X_47,X_48),join(X_130,meet(X_48,complement(X_47)))))]]) ).
cnf(refute_0_1530,plain,
( join(meet(X_48,complement(X_47)),join(X_130,meet(X_47,X_48))) != join(X_130,X_48)
| join(meet(X_47,X_48),join(X_130,meet(X_48,complement(X_47)))) = join(X_130,X_48) ),
inference(resolve,[$cnf( $equal(join(meet(X_48,complement(X_47)),join(X_130,meet(X_47,X_48))),join(meet(X_47,X_48),join(X_130,meet(X_48,complement(X_47))))) )],[refute_0_1528,refute_0_1529]) ).
cnf(refute_0_1531,plain,
join(meet(X_47,X_48),join(X_130,meet(X_48,complement(X_47)))) = join(X_130,X_48),
inference(resolve,[$cnf( $equal(join(meet(X_48,complement(X_47)),join(X_130,meet(X_47,X_48))),join(X_130,X_48)) )],[refute_0_1527,refute_0_1530]) ).
cnf(refute_0_1532,plain,
join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),meet(X_48,complement(X_47)))) = join(meet(X_48,complement(X_47)),X_48),
inference(subst,[],[refute_0_1531:[bind(X_130,$fot(meet(X_48,complement(X_47))))]]) ).
cnf(refute_0_1533,plain,
( join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),meet(X_48,complement(X_47)))) != join(meet(X_48,complement(X_47)),X_48)
| join(meet(X_48,complement(X_47)),X_48) != join(X_48,meet(X_48,complement(X_47)))
| join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),meet(X_48,complement(X_47)))) = join(X_48,meet(X_48,complement(X_47))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),meet(X_48,complement(X_47)))))),bind(Y,$fot(join(meet(X_48,complement(X_47)),X_48))),bind(Z,$fot(join(X_48,meet(X_48,complement(X_47)))))]]) ).
cnf(refute_0_1534,plain,
( join(meet(X_48,complement(X_47)),X_48) != join(X_48,meet(X_48,complement(X_47)))
| join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),meet(X_48,complement(X_47)))) = join(X_48,meet(X_48,complement(X_47))) ),
inference(resolve,[$cnf( $equal(join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),meet(X_48,complement(X_47)))),join(meet(X_48,complement(X_47)),X_48)) )],[refute_0_1532,refute_0_1533]) ).
cnf(refute_0_1535,plain,
join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),meet(X_48,complement(X_47)))) = join(X_48,meet(X_48,complement(X_47))),
inference(resolve,[$cnf( $equal(join(meet(X_48,complement(X_47)),X_48),join(X_48,meet(X_48,complement(X_47)))) )],[refute_0_1523,refute_0_1534]) ).
cnf(refute_0_1536,plain,
join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47)))) = join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),meet(X_48,complement(X_47)))),
inference(subst,[],[refute_0_1123:[bind(X0,$fot(meet(X_47,X_48))),bind(X1,$fot(meet(X_48,complement(X_47)))),bind(X_179,$fot(meet(X_48,complement(X_47))))]]) ).
cnf(refute_0_1537,plain,
( join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),meet(X_48,complement(X_47)))) != join(X_48,meet(X_48,complement(X_47)))
| join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47)))) != join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),meet(X_48,complement(X_47))))
| join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47)))) = join(X_48,meet(X_48,complement(X_47))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47)))))),bind(Y,$fot(join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),meet(X_48,complement(X_47)))))),bind(Z,$fot(join(X_48,meet(X_48,complement(X_47)))))]]) ).
cnf(refute_0_1538,plain,
( join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),meet(X_48,complement(X_47)))) != join(X_48,meet(X_48,complement(X_47)))
| join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47)))) = join(X_48,meet(X_48,complement(X_47))) ),
inference(resolve,[$cnf( $equal(join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47)))),join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),meet(X_48,complement(X_47))))) )],[refute_0_1536,refute_0_1537]) ).
cnf(refute_0_1539,plain,
join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47)))) = join(X_48,meet(X_48,complement(X_47))),
inference(resolve,[$cnf( $equal(join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),meet(X_48,complement(X_47)))),join(X_48,meet(X_48,complement(X_47)))) )],[refute_0_1535,refute_0_1538]) ).
cnf(refute_0_1540,plain,
( X_48 != join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47))))
| join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47)))) != join(X_48,meet(X_48,complement(X_47)))
| X_48 = join(X_48,meet(X_48,complement(X_47))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_48,join(X_48,meet(X_48,complement(X_47)))) ),[0],$fot(join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47)))))]]) ).
cnf(refute_0_1541,plain,
( X_48 != join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47))))
| X_48 = join(X_48,meet(X_48,complement(X_47))) ),
inference(resolve,[$cnf( $equal(join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47)))),join(X_48,meet(X_48,complement(X_47)))) )],[refute_0_1539,refute_0_1540]) ).
cnf(refute_0_1542,plain,
X_48 = join(X_48,meet(X_48,complement(X_47))),
inference(resolve,[$cnf( $equal(X_48,join(meet(X_48,complement(X_47)),join(meet(X_47,X_48),meet(X_48,complement(X_47))))) )],[refute_0_1522,refute_0_1541]) ).
cnf(refute_0_1543,plain,
X_182 = join(X_182,meet(X_182,complement(complement(X_39)))),
inference(subst,[],[refute_0_1542:[bind(X_47,$fot(complement(X_39))),bind(X_48,$fot(X_182))]]) ).
cnf(refute_0_1544,plain,
( X_182 != join(X_182,meet(X_182,complement(complement(X_39))))
| complement(complement(X_39)) != X_39
| X_182 = join(X_182,meet(X_182,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(X_182,join(X_182,meet(X_182,complement(complement(X_39))))) ),[1,1,1],$fot(X_39)]]) ).
cnf(refute_0_1545,plain,
( X_182 != join(X_182,meet(X_182,complement(complement(X_39))))
| X_182 = join(X_182,meet(X_182,X_39)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_39)),X_39) )],[refute_0_340,refute_0_1544]) ).
cnf(refute_0_1546,plain,
X_182 = join(X_182,meet(X_182,X_39)),
inference(resolve,[$cnf( $equal(X_182,join(X_182,meet(X_182,complement(complement(X_39))))) )],[refute_0_1543,refute_0_1545]) ).
cnf(refute_0_1547,plain,
X_310 = join(X_310,meet(X_310,X_660)),
inference(subst,[],[refute_0_1546:[bind(X_182,$fot(X_310)),bind(X_39,$fot(X_660))]]) ).
cnf(refute_0_1548,plain,
( X_310 != join(X_310,meet(X_310,X_660))
| join(X_310,meet(X_310,X_660)) = X_310 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_310)),bind(Y,$fot(join(X_310,meet(X_310,X_660))))]]) ).
cnf(refute_0_1549,plain,
join(X_310,meet(X_310,X_660)) = X_310,
inference(resolve,[$cnf( $equal(X_310,join(X_310,meet(X_310,X_660))) )],[refute_0_1547,refute_0_1548]) ).
cnf(refute_0_1550,plain,
( join(X_310,meet(X_310,X_660)) != X_310
| top != join(complement(meet(X_310,X_660)),composition(join(X_310,meet(X_310,X_660)),top))
| top = join(complement(meet(X_310,X_660)),composition(X_310,top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(meet(X_310,X_660)),composition(join(X_310,meet(X_310,X_660)),top))) ),[1,1,0],$fot(X_310)]]) ).
cnf(refute_0_1551,plain,
( top != join(complement(meet(X_310,X_660)),composition(join(X_310,meet(X_310,X_660)),top))
| top = join(complement(meet(X_310,X_660)),composition(X_310,top)) ),
inference(resolve,[$cnf( $equal(join(X_310,meet(X_310,X_660)),X_310) )],[refute_0_1549,refute_0_1550]) ).
cnf(refute_0_1552,plain,
top = join(complement(meet(X_310,X_660)),composition(X_310,top)),
inference(resolve,[$cnf( $equal(top,join(complement(meet(X_310,X_660)),composition(join(X_310,meet(X_310,X_660)),top))) )],[refute_0_1518,refute_0_1551]) ).
cnf(refute_0_1553,plain,
join(X_70,complement(X_69)) = join(meet(meet(X_70,X_69),join(X_70,complement(X_69))),complement(join(meet(X_70,X_69),complement(join(X_70,complement(X_69)))))),
inference(subst,[],[refute_0_964:[bind(X_60,$fot(join(X_70,complement(X_69)))),bind(X_61,$fot(meet(X_70,X_69)))]]) ).
cnf(refute_0_1554,plain,
X_69 = join(meet(X_70,X_69),complement(join(X_70,complement(X_69)))),
inference(subst,[],[refute_0_964:[bind(X_60,$fot(X_69)),bind(X_61,$fot(X_70))]]) ).
cnf(refute_0_1555,plain,
( X_69 != join(meet(X_70,X_69),complement(join(X_70,complement(X_69))))
| join(meet(X_70,X_69),complement(join(X_70,complement(X_69)))) = X_69 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_69)),bind(Y,$fot(join(meet(X_70,X_69),complement(join(X_70,complement(X_69))))))]]) ).
cnf(refute_0_1556,plain,
join(meet(X_70,X_69),complement(join(X_70,complement(X_69)))) = X_69,
inference(resolve,[$cnf( $equal(X_69,join(meet(X_70,X_69),complement(join(X_70,complement(X_69))))) )],[refute_0_1554,refute_0_1555]) ).
cnf(refute_0_1557,plain,
( join(X_70,complement(X_69)) != join(meet(meet(X_70,X_69),join(X_70,complement(X_69))),complement(join(meet(X_70,X_69),complement(join(X_70,complement(X_69))))))
| join(meet(X_70,X_69),complement(join(X_70,complement(X_69)))) != X_69
| join(X_70,complement(X_69)) = join(meet(meet(X_70,X_69),join(X_70,complement(X_69))),complement(X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_70,complement(X_69)),join(meet(meet(X_70,X_69),join(X_70,complement(X_69))),complement(join(meet(X_70,X_69),complement(join(X_70,complement(X_69))))))) ),[1,1,0],$fot(X_69)]]) ).
cnf(refute_0_1558,plain,
( join(X_70,complement(X_69)) != join(meet(meet(X_70,X_69),join(X_70,complement(X_69))),complement(join(meet(X_70,X_69),complement(join(X_70,complement(X_69))))))
| join(X_70,complement(X_69)) = join(meet(meet(X_70,X_69),join(X_70,complement(X_69))),complement(X_69)) ),
inference(resolve,[$cnf( $equal(join(meet(X_70,X_69),complement(join(X_70,complement(X_69)))),X_69) )],[refute_0_1556,refute_0_1557]) ).
cnf(refute_0_1559,plain,
join(X_70,complement(X_69)) = join(meet(meet(X_70,X_69),join(X_70,complement(X_69))),complement(X_69)),
inference(resolve,[$cnf( $equal(join(X_70,complement(X_69)),join(meet(meet(X_70,X_69),join(X_70,complement(X_69))),complement(join(meet(X_70,X_69),complement(join(X_70,complement(X_69))))))) )],[refute_0_1553,refute_0_1558]) ).
cnf(refute_0_1560,plain,
join(meet(meet(X_70,X_69),join(X_70,complement(X_69))),complement(X_69)) = join(complement(X_69),meet(meet(X_70,X_69),join(X_70,complement(X_69)))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(X_69))),bind(X1,$fot(meet(meet(X_70,X_69),join(X_70,complement(X_69)))))]]) ).
cnf(refute_0_1561,plain,
( join(X_70,complement(X_69)) != join(meet(meet(X_70,X_69),join(X_70,complement(X_69))),complement(X_69))
| join(meet(meet(X_70,X_69),join(X_70,complement(X_69))),complement(X_69)) != join(complement(X_69),meet(meet(X_70,X_69),join(X_70,complement(X_69))))
| join(X_70,complement(X_69)) = join(complement(X_69),meet(meet(X_70,X_69),join(X_70,complement(X_69)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_70,complement(X_69)),join(complement(X_69),meet(meet(X_70,X_69),join(X_70,complement(X_69))))) ),[0],$fot(join(meet(meet(X_70,X_69),join(X_70,complement(X_69))),complement(X_69)))]]) ).
cnf(refute_0_1562,plain,
( join(X_70,complement(X_69)) != join(meet(meet(X_70,X_69),join(X_70,complement(X_69))),complement(X_69))
| join(X_70,complement(X_69)) = join(complement(X_69),meet(meet(X_70,X_69),join(X_70,complement(X_69)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_70,X_69),join(X_70,complement(X_69))),complement(X_69)),join(complement(X_69),meet(meet(X_70,X_69),join(X_70,complement(X_69))))) )],[refute_0_1560,refute_0_1561]) ).
cnf(refute_0_1563,plain,
join(X_70,complement(X_69)) = join(complement(X_69),meet(meet(X_70,X_69),join(X_70,complement(X_69)))),
inference(resolve,[$cnf( $equal(join(X_70,complement(X_69)),join(meet(meet(X_70,X_69),join(X_70,complement(X_69))),complement(X_69))) )],[refute_0_1559,refute_0_1562]) ).
cnf(refute_0_1564,plain,
join(X_404,complement(meet(X_373,X_374))) = join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_373,X_374))))),
inference(subst,[],[refute_0_1563:[bind(X_69,$fot(meet(X_373,X_374))),bind(X_70,$fot(X_404))]]) ).
cnf(refute_0_1565,plain,
join(complement(X_374),complement(X_373)) = join(complement(X_373),complement(X_374)),
inference(subst,[],[refute_0_13:[bind(X0,$fot(complement(X_374))),bind(X1,$fot(complement(X_373)))]]) ).
cnf(refute_0_1566,plain,
join(complement(X_373),complement(X_374)) = complement(meet(X_373,X_374)),
inference(subst,[],[refute_0_318:[bind(X0,$fot(X_373)),bind(X1,$fot(X_374))]]) ).
cnf(refute_0_1567,plain,
( join(complement(X_373),complement(X_374)) != complement(meet(X_373,X_374))
| join(complement(X_374),complement(X_373)) != join(complement(X_373),complement(X_374))
| join(complement(X_374),complement(X_373)) = complement(meet(X_373,X_374)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_374),complement(X_373)),join(complement(X_373),complement(X_374))) ),[1],$fot(complement(meet(X_373,X_374)))]]) ).
cnf(refute_0_1568,plain,
( join(complement(X_374),complement(X_373)) != join(complement(X_373),complement(X_374))
| join(complement(X_374),complement(X_373)) = complement(meet(X_373,X_374)) ),
inference(resolve,[$cnf( $equal(join(complement(X_373),complement(X_374)),complement(meet(X_373,X_374))) )],[refute_0_1566,refute_0_1567]) ).
cnf(refute_0_1569,plain,
join(complement(X_374),complement(X_373)) = complement(meet(X_373,X_374)),
inference(resolve,[$cnf( $equal(join(complement(X_374),complement(X_373)),join(complement(X_373),complement(X_374))) )],[refute_0_1565,refute_0_1568]) ).
cnf(refute_0_1570,plain,
join(complement(X_374),complement(X_373)) = complement(meet(X_374,X_373)),
inference(subst,[],[refute_0_318:[bind(X0,$fot(X_374)),bind(X1,$fot(X_373))]]) ).
cnf(refute_0_1571,plain,
( join(complement(X_374),complement(X_373)) != complement(meet(X_373,X_374))
| join(complement(X_374),complement(X_373)) != complement(meet(X_374,X_373))
| complement(meet(X_374,X_373)) = complement(meet(X_373,X_374)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_374),complement(X_373)),complement(meet(X_373,X_374))) ),[0],$fot(complement(meet(X_374,X_373)))]]) ).
cnf(refute_0_1572,plain,
( join(complement(X_374),complement(X_373)) != complement(meet(X_373,X_374))
| complement(meet(X_374,X_373)) = complement(meet(X_373,X_374)) ),
inference(resolve,[$cnf( $equal(join(complement(X_374),complement(X_373)),complement(meet(X_374,X_373))) )],[refute_0_1570,refute_0_1571]) ).
cnf(refute_0_1573,plain,
complement(meet(X_374,X_373)) = complement(meet(X_373,X_374)),
inference(resolve,[$cnf( $equal(join(complement(X_374),complement(X_373)),complement(meet(X_373,X_374))) )],[refute_0_1569,refute_0_1572]) ).
cnf(refute_0_1574,plain,
( complement(meet(X_374,X_373)) != complement(meet(X_373,X_374))
| complement(meet(X_373,X_374)) = complement(meet(X_374,X_373)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(meet(X_374,X_373)))),bind(Y,$fot(complement(meet(X_373,X_374))))]]) ).
cnf(refute_0_1575,plain,
complement(meet(X_373,X_374)) = complement(meet(X_374,X_373)),
inference(resolve,[$cnf( $equal(complement(meet(X_374,X_373)),complement(meet(X_373,X_374))) )],[refute_0_1573,refute_0_1574]) ).
cnf(refute_0_1576,plain,
( complement(meet(X_373,X_374)) != complement(meet(X_374,X_373))
| join(X_404,complement(meet(X_373,X_374))) != join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_373,X_374)))))
| join(X_404,complement(meet(X_373,X_374))) = join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_404,complement(meet(X_373,X_374))),join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_373,X_374)))))) ),[1,1,1,1],$fot(complement(meet(X_374,X_373)))]]) ).
cnf(refute_0_1577,plain,
( join(X_404,complement(meet(X_373,X_374))) != join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_373,X_374)))))
| join(X_404,complement(meet(X_373,X_374))) = join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_373,X_374)),complement(meet(X_374,X_373))) )],[refute_0_1575,refute_0_1576]) ).
cnf(refute_0_1578,plain,
join(X_404,complement(meet(X_373,X_374))) = join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))),
inference(resolve,[$cnf( $equal(join(X_404,complement(meet(X_373,X_374))),join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_373,X_374)))))) )],[refute_0_1564,refute_0_1577]) ).
cnf(refute_0_1579,plain,
join(complement(X_39),X_40) = join(meet(meet(X_40,X_39),join(complement(X_39),X_40)),complement(join(meet(X_40,X_39),complement(join(complement(X_39),X_40))))),
inference(subst,[],[refute_0_964:[bind(X_60,$fot(join(complement(X_39),X_40))),bind(X_61,$fot(meet(X_40,X_39)))]]) ).
cnf(refute_0_1580,plain,
( X_39 != join(meet(X_40,X_39),complement(join(complement(X_39),X_40)))
| join(meet(X_40,X_39),complement(join(complement(X_39),X_40))) = X_39 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_39)),bind(Y,$fot(join(meet(X_40,X_39),complement(join(complement(X_39),X_40)))))]]) ).
cnf(refute_0_1581,plain,
join(meet(X_40,X_39),complement(join(complement(X_39),X_40))) = X_39,
inference(resolve,[$cnf( $equal(X_39,join(meet(X_40,X_39),complement(join(complement(X_39),X_40)))) )],[refute_0_775,refute_0_1580]) ).
cnf(refute_0_1582,plain,
( join(complement(X_39),X_40) != join(meet(meet(X_40,X_39),join(complement(X_39),X_40)),complement(join(meet(X_40,X_39),complement(join(complement(X_39),X_40)))))
| join(meet(X_40,X_39),complement(join(complement(X_39),X_40))) != X_39
| join(complement(X_39),X_40) = join(meet(meet(X_40,X_39),join(complement(X_39),X_40)),complement(X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_39),X_40),join(meet(meet(X_40,X_39),join(complement(X_39),X_40)),complement(join(meet(X_40,X_39),complement(join(complement(X_39),X_40)))))) ),[1,1,0],$fot(X_39)]]) ).
cnf(refute_0_1583,plain,
( join(complement(X_39),X_40) != join(meet(meet(X_40,X_39),join(complement(X_39),X_40)),complement(join(meet(X_40,X_39),complement(join(complement(X_39),X_40)))))
| join(complement(X_39),X_40) = join(meet(meet(X_40,X_39),join(complement(X_39),X_40)),complement(X_39)) ),
inference(resolve,[$cnf( $equal(join(meet(X_40,X_39),complement(join(complement(X_39),X_40))),X_39) )],[refute_0_1581,refute_0_1582]) ).
cnf(refute_0_1584,plain,
join(complement(X_39),X_40) = join(meet(meet(X_40,X_39),join(complement(X_39),X_40)),complement(X_39)),
inference(resolve,[$cnf( $equal(join(complement(X_39),X_40),join(meet(meet(X_40,X_39),join(complement(X_39),X_40)),complement(join(meet(X_40,X_39),complement(join(complement(X_39),X_40)))))) )],[refute_0_1579,refute_0_1583]) ).
cnf(refute_0_1585,plain,
join(meet(meet(X_40,X_39),join(complement(X_39),X_40)),complement(X_39)) = join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(X_39))),bind(X1,$fot(meet(meet(X_40,X_39),join(complement(X_39),X_40))))]]) ).
cnf(refute_0_1586,plain,
( join(complement(X_39),X_40) != join(meet(meet(X_40,X_39),join(complement(X_39),X_40)),complement(X_39))
| join(meet(meet(X_40,X_39),join(complement(X_39),X_40)),complement(X_39)) != join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40)))
| join(complement(X_39),X_40) = join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_39),X_40),join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40)))) ),[0],$fot(join(meet(meet(X_40,X_39),join(complement(X_39),X_40)),complement(X_39)))]]) ).
cnf(refute_0_1587,plain,
( join(complement(X_39),X_40) != join(meet(meet(X_40,X_39),join(complement(X_39),X_40)),complement(X_39))
| join(complement(X_39),X_40) = join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_40,X_39),join(complement(X_39),X_40)),complement(X_39)),join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40)))) )],[refute_0_1585,refute_0_1586]) ).
cnf(refute_0_1588,plain,
join(complement(X_39),X_40) = join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40))),
inference(resolve,[$cnf( $equal(join(complement(X_39),X_40),join(meet(meet(X_40,X_39),join(complement(X_39),X_40)),complement(X_39))) )],[refute_0_1584,refute_0_1587]) ).
cnf(refute_0_1589,plain,
X_39 = meet(X_39,join(X_39,join(X_131,X_129))),
inference(subst,[],[refute_0_878:[bind(X_94,$fot(join(X_131,X_129)))]]) ).
cnf(refute_0_1590,plain,
join(X_129,join(X_39,X_131)) = join(X_39,join(X_131,X_129)),
inference(subst,[],[refute_0_922:[bind(X0,$fot(X_129)),bind(X_80,$fot(X_39)),bind(X_81,$fot(X_131))]]) ).
cnf(refute_0_1591,plain,
( join(X_129,join(X_39,X_131)) != join(X_39,join(X_131,X_129))
| join(X_39,join(X_131,X_129)) = join(X_129,join(X_39,X_131)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_129,join(X_39,X_131)))),bind(Y,$fot(join(X_39,join(X_131,X_129))))]]) ).
cnf(refute_0_1592,plain,
join(X_39,join(X_131,X_129)) = join(X_129,join(X_39,X_131)),
inference(resolve,[$cnf( $equal(join(X_129,join(X_39,X_131)),join(X_39,join(X_131,X_129))) )],[refute_0_1590,refute_0_1591]) ).
cnf(refute_0_1593,plain,
( X_39 != meet(X_39,join(X_39,join(X_131,X_129)))
| join(X_39,join(X_131,X_129)) != join(X_129,join(X_39,X_131))
| X_39 = meet(X_39,join(X_129,join(X_39,X_131))) ),
introduced(tautology,[equality,[$cnf( $equal(X_39,meet(X_39,join(X_39,join(X_131,X_129)))) ),[1,1],$fot(join(X_129,join(X_39,X_131)))]]) ).
cnf(refute_0_1594,plain,
( X_39 != meet(X_39,join(X_39,join(X_131,X_129)))
| X_39 = meet(X_39,join(X_129,join(X_39,X_131))) ),
inference(resolve,[$cnf( $equal(join(X_39,join(X_131,X_129)),join(X_129,join(X_39,X_131))) )],[refute_0_1592,refute_0_1593]) ).
cnf(refute_0_1595,plain,
X_39 = meet(X_39,join(X_129,join(X_39,X_131))),
inference(resolve,[$cnf( $equal(X_39,meet(X_39,join(X_39,join(X_131,X_129)))) )],[refute_0_1589,refute_0_1594]) ).
cnf(refute_0_1596,plain,
meet(X_48,X_47) = meet(meet(X_48,X_47),join(X_367,join(meet(X_48,X_47),meet(complement(X_47),X_48)))),
inference(subst,[],[refute_0_1595:[bind(X_129,$fot(X_367)),bind(X_131,$fot(meet(complement(X_47),X_48))),bind(X_39,$fot(meet(X_48,X_47)))]]) ).
cnf(refute_0_1597,plain,
( X_48 != join(meet(X_48,X_47),meet(complement(X_47),X_48))
| join(meet(X_48,X_47),meet(complement(X_47),X_48)) = X_48 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_48)),bind(Y,$fot(join(meet(X_48,X_47),meet(complement(X_47),X_48))))]]) ).
cnf(refute_0_1598,plain,
join(meet(X_48,X_47),meet(complement(X_47),X_48)) = X_48,
inference(resolve,[$cnf( $equal(X_48,join(meet(X_48,X_47),meet(complement(X_47),X_48))) )],[refute_0_760,refute_0_1597]) ).
cnf(refute_0_1599,plain,
( join(meet(X_48,X_47),meet(complement(X_47),X_48)) != X_48
| meet(X_48,X_47) != meet(meet(X_48,X_47),join(X_367,join(meet(X_48,X_47),meet(complement(X_47),X_48))))
| meet(X_48,X_47) = meet(meet(X_48,X_47),join(X_367,X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_48,X_47),meet(meet(X_48,X_47),join(X_367,join(meet(X_48,X_47),meet(complement(X_47),X_48))))) ),[1,1,1],$fot(X_48)]]) ).
cnf(refute_0_1600,plain,
( meet(X_48,X_47) != meet(meet(X_48,X_47),join(X_367,join(meet(X_48,X_47),meet(complement(X_47),X_48))))
| meet(X_48,X_47) = meet(meet(X_48,X_47),join(X_367,X_48)) ),
inference(resolve,[$cnf( $equal(join(meet(X_48,X_47),meet(complement(X_47),X_48)),X_48) )],[refute_0_1598,refute_0_1599]) ).
cnf(refute_0_1601,plain,
meet(X_48,X_47) = meet(meet(X_48,X_47),join(X_367,X_48)),
inference(resolve,[$cnf( $equal(meet(X_48,X_47),meet(meet(X_48,X_47),join(X_367,join(meet(X_48,X_47),meet(complement(X_47),X_48))))) )],[refute_0_1596,refute_0_1600]) ).
cnf(refute_0_1602,plain,
( meet(X_48,X_47) != meet(meet(X_48,X_47),join(X_367,X_48))
| meet(meet(X_48,X_47),join(X_367,X_48)) = meet(X_48,X_47) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_48,X_47))),bind(Y,$fot(meet(meet(X_48,X_47),join(X_367,X_48))))]]) ).
cnf(refute_0_1603,plain,
meet(meet(X_48,X_47),join(X_367,X_48)) = meet(X_48,X_47),
inference(resolve,[$cnf( $equal(meet(X_48,X_47),meet(meet(X_48,X_47),join(X_367,X_48))) )],[refute_0_1601,refute_0_1602]) ).
cnf(refute_0_1604,plain,
meet(meet(X_40,X_39),join(complement(X_39),X_40)) = meet(X_40,X_39),
inference(subst,[],[refute_0_1603:[bind(X_367,$fot(complement(X_39))),bind(X_47,$fot(X_39)),bind(X_48,$fot(X_40))]]) ).
cnf(refute_0_1605,plain,
join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40))) = join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40))),
introduced(tautology,[refl,[$fot(join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40))))]]) ).
cnf(refute_0_1606,plain,
( join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40))) != join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40)))
| meet(meet(X_40,X_39),join(complement(X_39),X_40)) != meet(X_40,X_39)
| join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40))) = join(complement(X_39),meet(X_40,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40))),join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40)))) ),[1,1],$fot(meet(X_40,X_39))]]) ).
cnf(refute_0_1607,plain,
( meet(meet(X_40,X_39),join(complement(X_39),X_40)) != meet(X_40,X_39)
| join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40))) = join(complement(X_39),meet(X_40,X_39)) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40))),join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40)))) )],[refute_0_1605,refute_0_1606]) ).
cnf(refute_0_1608,plain,
join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40))) = join(complement(X_39),meet(X_40,X_39)),
inference(resolve,[$cnf( $equal(meet(meet(X_40,X_39),join(complement(X_39),X_40)),meet(X_40,X_39)) )],[refute_0_1604,refute_0_1607]) ).
cnf(refute_0_1609,plain,
( join(complement(X_39),X_40) != join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40)))
| join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40))) != join(complement(X_39),meet(X_40,X_39))
| join(complement(X_39),X_40) = join(complement(X_39),meet(X_40,X_39)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_39),X_40),join(complement(X_39),meet(X_40,X_39))) ),[0],$fot(join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40))))]]) ).
cnf(refute_0_1610,plain,
( join(complement(X_39),X_40) != join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40)))
| join(complement(X_39),X_40) = join(complement(X_39),meet(X_40,X_39)) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40))),join(complement(X_39),meet(X_40,X_39))) )],[refute_0_1608,refute_0_1609]) ).
cnf(refute_0_1611,plain,
join(complement(X_39),X_40) = join(complement(X_39),meet(X_40,X_39)),
inference(resolve,[$cnf( $equal(join(complement(X_39),X_40),join(complement(X_39),meet(meet(X_40,X_39),join(complement(X_39),X_40)))) )],[refute_0_1588,refute_0_1610]) ).
cnf(refute_0_1612,plain,
( join(complement(X_39),X_40) != join(complement(X_39),meet(X_40,X_39))
| join(complement(X_39),meet(X_40,X_39)) = join(complement(X_39),X_40) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(complement(X_39),X_40))),bind(Y,$fot(join(complement(X_39),meet(X_40,X_39))))]]) ).
cnf(refute_0_1613,plain,
join(complement(X_39),meet(X_40,X_39)) = join(complement(X_39),X_40),
inference(resolve,[$cnf( $equal(join(complement(X_39),X_40),join(complement(X_39),meet(X_40,X_39))) )],[refute_0_1611,refute_0_1612]) ).
cnf(refute_0_1614,plain,
join(complement(meet(X_373,X_374)),meet(X_404,meet(X_373,X_374))) = join(complement(meet(X_373,X_374)),X_404),
inference(subst,[],[refute_0_1613:[bind(X_39,$fot(meet(X_373,X_374))),bind(X_40,$fot(X_404))]]) ).
cnf(refute_0_1615,plain,
meet(X_618,X_617) = meet(meet(X_618,X_617),join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619))),
inference(subst,[],[refute_0_878:[bind(X_39,$fot(meet(X_618,X_617))),bind(X_94,$fot(join(meet(X_618,complement(X_617)),X_619)))]]) ).
cnf(refute_0_1616,plain,
join(meet(X_39,X1),join(meet(X_39,complement(X1)),X_82)) = join(join(meet(X_39,X1),meet(X_39,complement(X1))),X_82),
inference(subst,[],[refute_0_260:[bind(X0,$fot(meet(X_39,X1))),bind(X1,$fot(meet(X_39,complement(X1)))),bind(X2,$fot(X_82))]]) ).
cnf(refute_0_1617,plain,
( X_39 != join(meet(X_39,X1),meet(X_39,complement(X1)))
| join(meet(X_39,X1),meet(X_39,complement(X1))) = X_39 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_39)),bind(Y,$fot(join(meet(X_39,X1),meet(X_39,complement(X1)))))]]) ).
cnf(refute_0_1618,plain,
join(meet(X_39,X1),meet(X_39,complement(X1))) = X_39,
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,X1),meet(X_39,complement(X1)))) )],[refute_0_132,refute_0_1617]) ).
cnf(refute_0_1619,plain,
( join(meet(X_39,X1),join(meet(X_39,complement(X1)),X_82)) != join(join(meet(X_39,X1),meet(X_39,complement(X1))),X_82)
| join(meet(X_39,X1),meet(X_39,complement(X1))) != X_39
| join(meet(X_39,X1),join(meet(X_39,complement(X1)),X_82)) = join(X_39,X_82) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_39,X1),join(meet(X_39,complement(X1)),X_82)),join(join(meet(X_39,X1),meet(X_39,complement(X1))),X_82)) ),[1,0],$fot(X_39)]]) ).
cnf(refute_0_1620,plain,
( join(meet(X_39,X1),join(meet(X_39,complement(X1)),X_82)) != join(join(meet(X_39,X1),meet(X_39,complement(X1))),X_82)
| join(meet(X_39,X1),join(meet(X_39,complement(X1)),X_82)) = join(X_39,X_82) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,X1),meet(X_39,complement(X1))),X_39) )],[refute_0_1618,refute_0_1619]) ).
cnf(refute_0_1621,plain,
join(meet(X_39,X1),join(meet(X_39,complement(X1)),X_82)) = join(X_39,X_82),
inference(resolve,[$cnf( $equal(join(meet(X_39,X1),join(meet(X_39,complement(X1)),X_82)),join(join(meet(X_39,X1),meet(X_39,complement(X1))),X_82)) )],[refute_0_1616,refute_0_1620]) ).
cnf(refute_0_1622,plain,
join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619)) = join(X_618,X_619),
inference(subst,[],[refute_0_1621:[bind(X1,$fot(X_617)),bind(X_39,$fot(X_618)),bind(X_82,$fot(X_619))]]) ).
cnf(refute_0_1623,plain,
( join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619)) != join(X_618,X_619)
| meet(X_618,X_617) != meet(meet(X_618,X_617),join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619)))
| meet(X_618,X_617) = meet(meet(X_618,X_617),join(X_618,X_619)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_618,X_617),meet(meet(X_618,X_617),join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619)))) ),[1,1],$fot(join(X_618,X_619))]]) ).
cnf(refute_0_1624,plain,
( meet(X_618,X_617) != meet(meet(X_618,X_617),join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619)))
| meet(X_618,X_617) = meet(meet(X_618,X_617),join(X_618,X_619)) ),
inference(resolve,[$cnf( $equal(join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619)),join(X_618,X_619)) )],[refute_0_1622,refute_0_1623]) ).
cnf(refute_0_1625,plain,
meet(X_618,X_617) = meet(meet(X_618,X_617),join(X_618,X_619)),
inference(resolve,[$cnf( $equal(meet(X_618,X_617),meet(meet(X_618,X_617),join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619)))) )],[refute_0_1615,refute_0_1624]) ).
cnf(refute_0_1626,plain,
( meet(X_618,X_617) != meet(meet(X_618,X_617),join(X_618,X_619))
| meet(meet(X_618,X_617),join(X_618,X_619)) = meet(X_618,X_617) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_618,X_617))),bind(Y,$fot(meet(meet(X_618,X_617),join(X_618,X_619))))]]) ).
cnf(refute_0_1627,plain,
meet(meet(X_618,X_617),join(X_618,X_619)) = meet(X_618,X_617),
inference(resolve,[$cnf( $equal(meet(X_618,X_617),meet(meet(X_618,X_617),join(X_618,X_619))) )],[refute_0_1625,refute_0_1626]) ).
cnf(refute_0_1628,plain,
meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373)))) = meet(X_404,meet(X_373,X_374)),
inference(subst,[],[refute_0_1627:[bind(X_617,$fot(meet(X_373,X_374))),bind(X_618,$fot(X_404)),bind(X_619,$fot(complement(meet(X_374,X_373))))]]) ).
cnf(refute_0_1629,plain,
join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))) = join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))),
introduced(tautology,[refl,[$fot(join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))))]]) ).
cnf(refute_0_1630,plain,
( join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))) != join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373)))))
| meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373)))) != meet(X_404,meet(X_373,X_374))
| join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))) = join(complement(meet(X_373,X_374)),meet(X_404,meet(X_373,X_374))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))),join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373)))))) ),[1,1],$fot(meet(X_404,meet(X_373,X_374)))]]) ).
cnf(refute_0_1631,plain,
( meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373)))) != meet(X_404,meet(X_373,X_374))
| join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))) = join(complement(meet(X_373,X_374)),meet(X_404,meet(X_373,X_374))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))),join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373)))))) )],[refute_0_1629,refute_0_1630]) ).
cnf(refute_0_1632,plain,
join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))) = join(complement(meet(X_373,X_374)),meet(X_404,meet(X_373,X_374))),
inference(resolve,[$cnf( $equal(meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373)))),meet(X_404,meet(X_373,X_374))) )],[refute_0_1628,refute_0_1631]) ).
cnf(refute_0_1633,plain,
( join(complement(meet(X_373,X_374)),meet(X_404,meet(X_373,X_374))) != join(complement(meet(X_373,X_374)),X_404)
| join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))) != join(complement(meet(X_373,X_374)),meet(X_404,meet(X_373,X_374)))
| join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))) = join(complement(meet(X_373,X_374)),X_404) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))))),bind(Y,$fot(join(complement(meet(X_373,X_374)),meet(X_404,meet(X_373,X_374))))),bind(Z,$fot(join(complement(meet(X_373,X_374)),X_404)))]]) ).
cnf(refute_0_1634,plain,
( join(complement(meet(X_373,X_374)),meet(X_404,meet(X_373,X_374))) != join(complement(meet(X_373,X_374)),X_404)
| join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))) = join(complement(meet(X_373,X_374)),X_404) ),
inference(resolve,[$cnf( $equal(join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))),join(complement(meet(X_373,X_374)),meet(X_404,meet(X_373,X_374)))) )],[refute_0_1632,refute_0_1633]) ).
cnf(refute_0_1635,plain,
join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))) = join(complement(meet(X_373,X_374)),X_404),
inference(resolve,[$cnf( $equal(join(complement(meet(X_373,X_374)),meet(X_404,meet(X_373,X_374))),join(complement(meet(X_373,X_374)),X_404)) )],[refute_0_1614,refute_0_1634]) ).
cnf(refute_0_1636,plain,
( join(X_404,complement(meet(X_373,X_374))) != join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373)))))
| join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))) != join(complement(meet(X_373,X_374)),X_404)
| join(X_404,complement(meet(X_373,X_374))) = join(complement(meet(X_373,X_374)),X_404) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_404,complement(meet(X_373,X_374))),join(complement(meet(X_373,X_374)),X_404)) ),[0],$fot(join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))))]]) ).
cnf(refute_0_1637,plain,
( join(X_404,complement(meet(X_373,X_374))) != join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373)))))
| join(X_404,complement(meet(X_373,X_374))) = join(complement(meet(X_373,X_374)),X_404) ),
inference(resolve,[$cnf( $equal(join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373))))),join(complement(meet(X_373,X_374)),X_404)) )],[refute_0_1635,refute_0_1636]) ).
cnf(refute_0_1638,plain,
join(X_404,complement(meet(X_373,X_374))) = join(complement(meet(X_373,X_374)),X_404),
inference(resolve,[$cnf( $equal(join(X_404,complement(meet(X_373,X_374))),join(complement(meet(X_373,X_374)),meet(meet(X_404,meet(X_373,X_374)),join(X_404,complement(meet(X_374,X_373)))))) )],[refute_0_1578,refute_0_1637]) ).
cnf(refute_0_1639,plain,
( join(X_404,complement(meet(X_373,X_374))) != join(complement(meet(X_373,X_374)),X_404)
| join(complement(meet(X_373,X_374)),X_404) = join(X_404,complement(meet(X_373,X_374))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_404,complement(meet(X_373,X_374))))),bind(Y,$fot(join(complement(meet(X_373,X_374)),X_404)))]]) ).
cnf(refute_0_1640,plain,
join(complement(meet(X_373,X_374)),X_404) = join(X_404,complement(meet(X_373,X_374))),
inference(resolve,[$cnf( $equal(join(X_404,complement(meet(X_373,X_374))),join(complement(meet(X_373,X_374)),X_404)) )],[refute_0_1638,refute_0_1639]) ).
cnf(refute_0_1641,plain,
join(complement(meet(X_310,X_660)),composition(X_310,top)) = join(composition(X_310,top),complement(meet(X_310,X_660))),
inference(subst,[],[refute_0_1640:[bind(X_373,$fot(X_310)),bind(X_374,$fot(X_660)),bind(X_404,$fot(composition(X_310,top)))]]) ).
cnf(refute_0_1642,plain,
( join(complement(meet(X_310,X_660)),composition(X_310,top)) != join(composition(X_310,top),complement(meet(X_310,X_660)))
| top != join(complement(meet(X_310,X_660)),composition(X_310,top))
| top = join(composition(X_310,top),complement(meet(X_310,X_660))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(meet(X_310,X_660)),composition(X_310,top))) ),[1],$fot(join(composition(X_310,top),complement(meet(X_310,X_660))))]]) ).
cnf(refute_0_1643,plain,
( top != join(complement(meet(X_310,X_660)),composition(X_310,top))
| top = join(composition(X_310,top),complement(meet(X_310,X_660))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(X_310,X_660)),composition(X_310,top)),join(composition(X_310,top),complement(meet(X_310,X_660)))) )],[refute_0_1641,refute_0_1642]) ).
cnf(refute_0_1644,plain,
top = join(composition(X_310,top),complement(meet(X_310,X_660))),
inference(resolve,[$cnf( $equal(top,join(complement(meet(X_310,X_660)),composition(X_310,top))) )],[refute_0_1552,refute_0_1643]) ).
cnf(refute_0_1645,plain,
top = join(composition(X_661,top),complement(meet(X_661,X_662))),
inference(subst,[],[refute_0_1644:[bind(X_310,$fot(X_661)),bind(X_660,$fot(X_662))]]) ).
cnf(refute_0_1646,plain,
( top != join(composition(X_661,top),complement(meet(X_661,X_662)))
| join(composition(X_661,top),complement(meet(X_661,X_662))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(composition(X_661,top),complement(meet(X_661,X_662)))))]]) ).
cnf(refute_0_1647,plain,
join(composition(X_661,top),complement(meet(X_661,X_662))) = top,
inference(resolve,[$cnf( $equal(top,join(composition(X_661,top),complement(meet(X_661,X_662)))) )],[refute_0_1645,refute_0_1646]) ).
cnf(refute_0_1648,plain,
( join(composition(X_661,top),complement(meet(X_661,X_662))) != top
| meet(join(composition(X_661,top),complement(meet(X_661,X_662))),join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) != composition(X_661,top)
| meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) = composition(X_661,top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(composition(X_661,top),complement(meet(X_661,X_662))),join(complement(complement(meet(X_661,X_662))),composition(X_661,top))),composition(X_661,top)) ),[0,0],$fot(top)]]) ).
cnf(refute_0_1649,plain,
( meet(join(composition(X_661,top),complement(meet(X_661,X_662))),join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) != composition(X_661,top)
| meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) = composition(X_661,top) ),
inference(resolve,[$cnf( $equal(join(composition(X_661,top),complement(meet(X_661,X_662))),top) )],[refute_0_1647,refute_0_1648]) ).
cnf(refute_0_1650,plain,
meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) = composition(X_661,top),
inference(resolve,[$cnf( $equal(meet(join(composition(X_661,top),complement(meet(X_661,X_662))),join(complement(complement(meet(X_661,X_662))),composition(X_661,top))),composition(X_661,top)) )],[refute_0_403,refute_0_1649]) ).
cnf(refute_0_1651,plain,
complement(complement(meet(X_661,X_662))) = meet(X_661,X_662),
inference(subst,[],[refute_0_340:[bind(X_39,$fot(meet(X_661,X_662)))]]) ).
cnf(refute_0_1652,plain,
join(composition(X_661,top),complement(complement(meet(X_661,X_662)))) = join(composition(X_661,top),complement(complement(meet(X_661,X_662)))),
introduced(tautology,[refl,[$fot(join(composition(X_661,top),complement(complement(meet(X_661,X_662)))))]]) ).
cnf(refute_0_1653,plain,
( complement(complement(meet(X_661,X_662))) != meet(X_661,X_662)
| join(composition(X_661,top),complement(complement(meet(X_661,X_662)))) != join(composition(X_661,top),complement(complement(meet(X_661,X_662))))
| join(composition(X_661,top),complement(complement(meet(X_661,X_662)))) = join(composition(X_661,top),meet(X_661,X_662)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_661,top),complement(complement(meet(X_661,X_662)))),join(composition(X_661,top),complement(complement(meet(X_661,X_662))))) ),[1,1],$fot(meet(X_661,X_662))]]) ).
cnf(refute_0_1654,plain,
( complement(complement(meet(X_661,X_662))) != meet(X_661,X_662)
| join(composition(X_661,top),complement(complement(meet(X_661,X_662)))) = join(composition(X_661,top),meet(X_661,X_662)) ),
inference(resolve,[$cnf( $equal(join(composition(X_661,top),complement(complement(meet(X_661,X_662)))),join(composition(X_661,top),complement(complement(meet(X_661,X_662))))) )],[refute_0_1652,refute_0_1653]) ).
cnf(refute_0_1655,plain,
join(composition(X_661,top),complement(complement(meet(X_661,X_662)))) = join(composition(X_661,top),meet(X_661,X_662)),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_661,X_662))),meet(X_661,X_662)) )],[refute_0_1651,refute_0_1654]) ).
cnf(refute_0_1656,plain,
join(complement(complement(meet(X_661,X_662))),composition(X_661,top)) = join(composition(X_661,top),complement(complement(meet(X_661,X_662)))),
inference(subst,[],[refute_0_407:[bind(X_80,$fot(complement(complement(meet(X_661,X_662))))),bind(X_81,$fot(composition(X_661,top)))]]) ).
cnf(refute_0_1657,plain,
meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) = join(complement(complement(meet(X_661,X_662))),composition(X_661,top)),
inference(subst,[],[refute_0_357:[bind(X1,$fot(join(complement(complement(meet(X_661,X_662))),composition(X_661,top))))]]) ).
cnf(refute_0_1658,plain,
( join(complement(complement(meet(X_661,X_662))),composition(X_661,top)) != join(composition(X_661,top),complement(complement(meet(X_661,X_662))))
| meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) != join(complement(complement(meet(X_661,X_662))),composition(X_661,top))
| meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) = join(composition(X_661,top),complement(complement(meet(X_661,X_662)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))))),bind(Y,$fot(join(complement(complement(meet(X_661,X_662))),composition(X_661,top)))),bind(Z,$fot(join(composition(X_661,top),complement(complement(meet(X_661,X_662))))))]]) ).
cnf(refute_0_1659,plain,
( join(complement(complement(meet(X_661,X_662))),composition(X_661,top)) != join(composition(X_661,top),complement(complement(meet(X_661,X_662))))
| meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) = join(composition(X_661,top),complement(complement(meet(X_661,X_662)))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))),join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) )],[refute_0_1657,refute_0_1658]) ).
cnf(refute_0_1660,plain,
meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) = join(composition(X_661,top),complement(complement(meet(X_661,X_662)))),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(X_661,X_662))),composition(X_661,top)),join(composition(X_661,top),complement(complement(meet(X_661,X_662))))) )],[refute_0_1656,refute_0_1659]) ).
cnf(refute_0_1661,plain,
( join(composition(X_661,top),complement(complement(meet(X_661,X_662)))) != join(composition(X_661,top),meet(X_661,X_662))
| meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) != join(composition(X_661,top),complement(complement(meet(X_661,X_662))))
| meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) = join(composition(X_661,top),meet(X_661,X_662)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))))),bind(Y,$fot(join(composition(X_661,top),complement(complement(meet(X_661,X_662)))))),bind(Z,$fot(join(composition(X_661,top),meet(X_661,X_662))))]]) ).
cnf(refute_0_1662,plain,
( join(composition(X_661,top),complement(complement(meet(X_661,X_662)))) != join(composition(X_661,top),meet(X_661,X_662))
| meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) = join(composition(X_661,top),meet(X_661,X_662)) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))),join(composition(X_661,top),complement(complement(meet(X_661,X_662))))) )],[refute_0_1660,refute_0_1661]) ).
cnf(refute_0_1663,plain,
meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) = join(composition(X_661,top),meet(X_661,X_662)),
inference(resolve,[$cnf( $equal(join(composition(X_661,top),complement(complement(meet(X_661,X_662)))),join(composition(X_661,top),meet(X_661,X_662))) )],[refute_0_1655,refute_0_1662]) ).
cnf(refute_0_1664,plain,
( meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) != composition(X_661,top)
| meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) != join(composition(X_661,top),meet(X_661,X_662))
| join(composition(X_661,top),meet(X_661,X_662)) = composition(X_661,top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))),composition(X_661,top)) ),[0],$fot(join(composition(X_661,top),meet(X_661,X_662)))]]) ).
cnf(refute_0_1665,plain,
( meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))) != composition(X_661,top)
| join(composition(X_661,top),meet(X_661,X_662)) = composition(X_661,top) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))),join(composition(X_661,top),meet(X_661,X_662))) )],[refute_0_1663,refute_0_1664]) ).
cnf(refute_0_1666,plain,
join(composition(X_661,top),meet(X_661,X_662)) = composition(X_661,top),
inference(resolve,[$cnf( $equal(meet(top,join(complement(complement(meet(X_661,X_662))),composition(X_661,top))),composition(X_661,top)) )],[refute_0_1650,refute_0_1665]) ).
cnf(refute_0_1667,plain,
join(composition(complement(composition(X_302,top)),top),meet(complement(composition(X_302,top)),composition(top,complement(X_302)))) = composition(complement(composition(X_302,top)),top),
inference(subst,[],[refute_0_1666:[bind(X_661,$fot(complement(composition(X_302,top)))),bind(X_662,$fot(composition(top,complement(X_302))))]]) ).
cnf(refute_0_1668,plain,
join(X_217,X_218) = join(X_218,X_217),
inference(subst,[],[refute_0_13:[bind(X0,$fot(X_217)),bind(X1,$fot(X_218))]]) ).
cnf(refute_0_1669,plain,
( join(X_217,X_218) != join(X_218,X_217)
| join(X_218,X_217) = join(X_217,X_218) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_217,X_218))),bind(Y,$fot(join(X_218,X_217)))]]) ).
cnf(refute_0_1670,plain,
join(X_218,X_217) = join(X_217,X_218),
inference(resolve,[$cnf( $equal(join(X_217,X_218),join(X_218,X_217)) )],[refute_0_1668,refute_0_1669]) ).
cnf(refute_0_1671,plain,
( join(X_218,X_217) != join(X_217,X_218)
| meet(join(X_218,X_217),join(X_218,complement(X_217))) != X_218
| meet(join(X_217,X_218),join(X_218,complement(X_217))) = X_218 ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_218,X_217),join(X_218,complement(X_217))),X_218) ),[0,0],$fot(join(X_217,X_218))]]) ).
cnf(refute_0_1672,plain,
( meet(join(X_218,X_217),join(X_218,complement(X_217))) != X_218
| meet(join(X_217,X_218),join(X_218,complement(X_217))) = X_218 ),
inference(resolve,[$cnf( $equal(join(X_218,X_217),join(X_217,X_218)) )],[refute_0_1670,refute_0_1671]) ).
cnf(refute_0_1673,plain,
meet(join(X_217,X_218),join(X_218,complement(X_217))) = X_218,
inference(resolve,[$cnf( $equal(meet(join(X_218,X_217),join(X_218,complement(X_217))),X_218) )],[refute_0_396,refute_0_1672]) ).
cnf(refute_0_1674,plain,
meet(join(X_217,meet(X_594,complement(X_217))),join(meet(X_594,complement(X_217)),complement(X_217))) = meet(X_594,complement(X_217)),
inference(subst,[],[refute_0_1673:[bind(X_218,$fot(meet(X_594,complement(X_217))))]]) ).
cnf(refute_0_1675,plain,
join(X_224,meet(X_39,complement(X_224))) = join(join(X_224,meet(X_39,complement(X_224))),meet(X_39,join(X_224,meet(X_39,complement(X_224))))),
inference(subst,[],[refute_0_1134:[bind(X_191,$fot(join(X_224,meet(X_39,complement(X_224)))))]]) ).
cnf(refute_0_1676,plain,
X_39 = join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(join(complement(X_39),join(complement(X_11),meet(X_39,X_11))))),
inference(subst,[],[refute_0_34:[bind(X0,$fot(X_39)),bind(X1,$fot(join(complement(X_11),meet(X_39,X_11))))]]) ).
cnf(refute_0_1677,plain,
top = join(complement(X_39),join(complement(X_11),meet(X_39,X_11))),
inference(subst,[],[refute_0_266:[bind(X_10,$fot(X_39))]]) ).
cnf(refute_0_1678,plain,
( top != join(complement(X_39),join(complement(X_11),meet(X_39,X_11)))
| join(complement(X_39),join(complement(X_11),meet(X_39,X_11))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_39),join(complement(X_11),meet(X_39,X_11)))))]]) ).
cnf(refute_0_1679,plain,
join(complement(X_39),join(complement(X_11),meet(X_39,X_11))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_39),join(complement(X_11),meet(X_39,X_11)))) )],[refute_0_1677,refute_0_1678]) ).
cnf(refute_0_1680,plain,
( X_39 != join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(join(complement(X_39),join(complement(X_11),meet(X_39,X_11)))))
| join(complement(X_39),join(complement(X_11),meet(X_39,X_11))) != top
| X_39 = join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_39,join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(join(complement(X_39),join(complement(X_11),meet(X_39,X_11)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1681,plain,
( X_39 != join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(join(complement(X_39),join(complement(X_11),meet(X_39,X_11)))))
| X_39 = join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),join(complement(X_11),meet(X_39,X_11))),top) )],[refute_0_1679,refute_0_1680]) ).
cnf(refute_0_1682,plain,
X_39 = join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(top)),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(join(complement(X_39),join(complement(X_11),meet(X_39,X_11)))))) )],[refute_0_1676,refute_0_1681]) ).
cnf(refute_0_1683,plain,
join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11)))) = join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11)))))]]) ).
cnf(refute_0_1684,plain,
( complement(top) != zero
| join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11)))) != join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11))))
| join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11)))) = join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11)))),join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1685,plain,
( complement(top) != zero
| join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11)))) = join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11)))),join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11))))) )],[refute_0_1683,refute_0_1684]) ).
cnf(refute_0_1686,plain,
join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11)))) = join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_154,refute_0_1685]) ).
cnf(refute_0_1687,plain,
join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(top)) = join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11)))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_39,join(complement(X_11),meet(X_39,X_11)))))]]) ).
cnf(refute_0_1688,plain,
( join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11)))) != join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11))))
| join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(top)) != join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11))))
| join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(top)) = join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11)))))),bind(Z,$fot(join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11))))))]]) ).
cnf(refute_0_1689,plain,
( join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11)))) != join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11))))
| join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(top)) = join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(top)),join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11))))) )],[refute_0_1687,refute_0_1688]) ).
cnf(refute_0_1690,plain,
join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(top)) = join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_39,join(complement(X_11),meet(X_39,X_11)))),join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11))))) )],[refute_0_1686,refute_0_1689]) ).
cnf(refute_0_1691,plain,
( X_39 != join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(top))
| join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(top)) != join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11))))
| X_39 = join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11))))) ),[0],$fot(join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(top)))]]) ).
cnf(refute_0_1692,plain,
( X_39 != join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(top))
| X_39 = join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(top)),join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11))))) )],[refute_0_1690,refute_0_1691]) ).
cnf(refute_0_1693,plain,
X_39 = join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11)))),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,join(complement(X_11),meet(X_39,X_11))),complement(top))) )],[refute_0_1682,refute_0_1692]) ).
cnf(refute_0_1694,plain,
join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11)))) = meet(X_39,join(complement(X_11),meet(X_39,X_11))),
inference(subst,[],[refute_0_565:[bind(X_39,$fot(meet(X_39,join(complement(X_11),meet(X_39,X_11)))))]]) ).
cnf(refute_0_1695,plain,
( X_39 != join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11))))
| join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11)))) != meet(X_39,join(complement(X_11),meet(X_39,X_11)))
| X_39 = meet(X_39,join(complement(X_11),meet(X_39,X_11))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,meet(X_39,join(complement(X_11),meet(X_39,X_11)))) ),[0],$fot(join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11)))))]]) ).
cnf(refute_0_1696,plain,
( X_39 != join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11))))
| X_39 = meet(X_39,join(complement(X_11),meet(X_39,X_11))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11)))),meet(X_39,join(complement(X_11),meet(X_39,X_11)))) )],[refute_0_1694,refute_0_1695]) ).
cnf(refute_0_1697,plain,
X_39 = meet(X_39,join(complement(X_11),meet(X_39,X_11))),
inference(resolve,[$cnf( $equal(X_39,join(zero,meet(X_39,join(complement(X_11),meet(X_39,X_11))))) )],[refute_0_1693,refute_0_1696]) ).
cnf(refute_0_1698,plain,
X_168 = meet(X_168,join(complement(complement(X_39)),meet(X_168,complement(X_39)))),
inference(subst,[],[refute_0_1697:[bind(X_11,$fot(complement(X_39))),bind(X_39,$fot(X_168))]]) ).
cnf(refute_0_1699,plain,
( X_168 != meet(X_168,join(complement(complement(X_39)),meet(X_168,complement(X_39))))
| complement(complement(X_39)) != X_39
| X_168 = meet(X_168,join(X_39,meet(X_168,complement(X_39)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_168,meet(X_168,join(complement(complement(X_39)),meet(X_168,complement(X_39))))) ),[1,1,0],$fot(X_39)]]) ).
cnf(refute_0_1700,plain,
( X_168 != meet(X_168,join(complement(complement(X_39)),meet(X_168,complement(X_39))))
| X_168 = meet(X_168,join(X_39,meet(X_168,complement(X_39)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_39)),X_39) )],[refute_0_340,refute_0_1699]) ).
cnf(refute_0_1701,plain,
X_168 = meet(X_168,join(X_39,meet(X_168,complement(X_39)))),
inference(resolve,[$cnf( $equal(X_168,meet(X_168,join(complement(complement(X_39)),meet(X_168,complement(X_39))))) )],[refute_0_1698,refute_0_1700]) ).
cnf(refute_0_1702,plain,
X_39 = meet(X_39,join(X_224,meet(X_39,complement(X_224)))),
inference(subst,[],[refute_0_1701:[bind(X_168,$fot(X_39)),bind(X_39,$fot(X_224))]]) ).
cnf(refute_0_1703,plain,
( X_39 != meet(X_39,join(X_224,meet(X_39,complement(X_224))))
| meet(X_39,join(X_224,meet(X_39,complement(X_224)))) = X_39 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_39)),bind(Y,$fot(meet(X_39,join(X_224,meet(X_39,complement(X_224))))))]]) ).
cnf(refute_0_1704,plain,
meet(X_39,join(X_224,meet(X_39,complement(X_224)))) = X_39,
inference(resolve,[$cnf( $equal(X_39,meet(X_39,join(X_224,meet(X_39,complement(X_224))))) )],[refute_0_1702,refute_0_1703]) ).
cnf(refute_0_1705,plain,
( join(X_224,meet(X_39,complement(X_224))) != join(join(X_224,meet(X_39,complement(X_224))),meet(X_39,join(X_224,meet(X_39,complement(X_224)))))
| meet(X_39,join(X_224,meet(X_39,complement(X_224)))) != X_39
| join(X_224,meet(X_39,complement(X_224))) = join(join(X_224,meet(X_39,complement(X_224))),X_39) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_224,meet(X_39,complement(X_224))),join(join(X_224,meet(X_39,complement(X_224))),meet(X_39,join(X_224,meet(X_39,complement(X_224)))))) ),[1,1],$fot(X_39)]]) ).
cnf(refute_0_1706,plain,
( join(X_224,meet(X_39,complement(X_224))) != join(join(X_224,meet(X_39,complement(X_224))),meet(X_39,join(X_224,meet(X_39,complement(X_224)))))
| join(X_224,meet(X_39,complement(X_224))) = join(join(X_224,meet(X_39,complement(X_224))),X_39) ),
inference(resolve,[$cnf( $equal(meet(X_39,join(X_224,meet(X_39,complement(X_224)))),X_39) )],[refute_0_1704,refute_0_1705]) ).
cnf(refute_0_1707,plain,
join(X_224,meet(X_39,complement(X_224))) = join(join(X_224,meet(X_39,complement(X_224))),X_39),
inference(resolve,[$cnf( $equal(join(X_224,meet(X_39,complement(X_224))),join(join(X_224,meet(X_39,complement(X_224))),meet(X_39,join(X_224,meet(X_39,complement(X_224)))))) )],[refute_0_1675,refute_0_1706]) ).
cnf(refute_0_1708,plain,
join(X0,join(X_80,meet(X_80,meet(X_169,complement(meet(X_80,X_169)))))) = join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)),
inference(subst,[],[refute_0_922:[bind(X_81,$fot(meet(X_80,meet(X_169,complement(meet(X_80,X_169))))))]]) ).
cnf(refute_0_1709,plain,
X_48 = join(meet(X_48,join(complement(X_167),meet(X_48,X_167))),meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48)),
inference(subst,[],[refute_0_760:[bind(X_47,$fot(join(complement(X_167),meet(X_48,X_167))))]]) ).
cnf(refute_0_1710,plain,
X_48 = meet(X_48,join(complement(X_167),meet(X_48,X_167))),
inference(subst,[],[refute_0_1697:[bind(X_11,$fot(X_167)),bind(X_39,$fot(X_48))]]) ).
cnf(refute_0_1711,plain,
( X_48 != meet(X_48,join(complement(X_167),meet(X_48,X_167)))
| meet(X_48,join(complement(X_167),meet(X_48,X_167))) = X_48 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_48)),bind(Y,$fot(meet(X_48,join(complement(X_167),meet(X_48,X_167)))))]]) ).
cnf(refute_0_1712,plain,
meet(X_48,join(complement(X_167),meet(X_48,X_167))) = X_48,
inference(resolve,[$cnf( $equal(X_48,meet(X_48,join(complement(X_167),meet(X_48,X_167)))) )],[refute_0_1710,refute_0_1711]) ).
cnf(refute_0_1713,plain,
( X_48 != join(meet(X_48,join(complement(X_167),meet(X_48,X_167))),meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48))
| meet(X_48,join(complement(X_167),meet(X_48,X_167))) != X_48
| X_48 = join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(X_48,join(meet(X_48,join(complement(X_167),meet(X_48,X_167))),meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48))) ),[1,0],$fot(X_48)]]) ).
cnf(refute_0_1714,plain,
( X_48 != join(meet(X_48,join(complement(X_167),meet(X_48,X_167))),meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48))
| X_48 = join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48)) ),
inference(resolve,[$cnf( $equal(meet(X_48,join(complement(X_167),meet(X_48,X_167))),X_48) )],[refute_0_1712,refute_0_1713]) ).
cnf(refute_0_1715,plain,
X_48 = join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48)),
inference(resolve,[$cnf( $equal(X_48,join(meet(X_48,join(complement(X_167),meet(X_48,X_167))),meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48))) )],[refute_0_1709,refute_0_1714]) ).
cnf(refute_0_1716,plain,
meet(complement(meet(X_48,X_167)),X_167) = meet(X_167,complement(meet(X_48,X_167))),
inference(subst,[],[refute_0_191:[bind(X_10,$fot(X_167)),bind(X_11,$fot(complement(meet(X_48,X_167))))]]) ).
cnf(refute_0_1717,plain,
join(complement(X_138),X_139) = join(X_139,complement(X_138)),
inference(subst,[],[refute_0_13:[bind(X0,$fot(complement(X_138))),bind(X1,$fot(X_139))]]) ).
cnf(refute_0_1718,plain,
( join(complement(X_138),X_139) != join(X_139,complement(X_138))
| join(X_139,complement(X_138)) = join(complement(X_138),X_139) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(complement(X_138),X_139))),bind(Y,$fot(join(X_139,complement(X_138))))]]) ).
cnf(refute_0_1719,plain,
join(X_139,complement(X_138)) = join(complement(X_138),X_139),
inference(resolve,[$cnf( $equal(join(complement(X_138),X_139),join(X_139,complement(X_138))) )],[refute_0_1717,refute_0_1718]) ).
cnf(refute_0_1720,plain,
( join(X_139,complement(X_138)) != join(complement(X_138),X_139)
| meet(complement(X_139),X_138) != complement(join(X_139,complement(X_138)))
| meet(complement(X_139),X_138) = complement(join(complement(X_138),X_139)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_139),X_138),complement(join(X_139,complement(X_138)))) ),[1,0],$fot(join(complement(X_138),X_139))]]) ).
cnf(refute_0_1721,plain,
( meet(complement(X_139),X_138) != complement(join(X_139,complement(X_138)))
| meet(complement(X_139),X_138) = complement(join(complement(X_138),X_139)) ),
inference(resolve,[$cnf( $equal(join(X_139,complement(X_138)),join(complement(X_138),X_139)) )],[refute_0_1719,refute_0_1720]) ).
cnf(refute_0_1722,plain,
meet(complement(X_139),X_138) = complement(join(complement(X_138),X_139)),
inference(resolve,[$cnf( $equal(meet(complement(X_139),X_138),complement(join(X_139,complement(X_138)))) )],[refute_0_373,refute_0_1721]) ).
cnf(refute_0_1723,plain,
( meet(complement(X_139),X_138) != complement(join(complement(X_138),X_139))
| complement(join(complement(X_138),X_139)) = meet(complement(X_139),X_138) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(complement(X_139),X_138))),bind(Y,$fot(complement(join(complement(X_138),X_139))))]]) ).
cnf(refute_0_1724,plain,
complement(join(complement(X_138),X_139)) = meet(complement(X_139),X_138),
inference(resolve,[$cnf( $equal(meet(complement(X_139),X_138),complement(join(complement(X_138),X_139))) )],[refute_0_1722,refute_0_1723]) ).
cnf(refute_0_1725,plain,
complement(join(complement(X_167),meet(X_48,X_167))) = meet(complement(meet(X_48,X_167)),X_167),
inference(subst,[],[refute_0_1724:[bind(X_138,$fot(X_167)),bind(X_139,$fot(meet(X_48,X_167)))]]) ).
cnf(refute_0_1726,plain,
( complement(join(complement(X_167),meet(X_48,X_167))) != meet(complement(meet(X_48,X_167)),X_167)
| meet(complement(meet(X_48,X_167)),X_167) != meet(X_167,complement(meet(X_48,X_167)))
| complement(join(complement(X_167),meet(X_48,X_167))) = meet(X_167,complement(meet(X_48,X_167))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(complement(X_167),meet(X_48,X_167))))),bind(Y,$fot(meet(complement(meet(X_48,X_167)),X_167))),bind(Z,$fot(meet(X_167,complement(meet(X_48,X_167)))))]]) ).
cnf(refute_0_1727,plain,
( meet(complement(meet(X_48,X_167)),X_167) != meet(X_167,complement(meet(X_48,X_167)))
| complement(join(complement(X_167),meet(X_48,X_167))) = meet(X_167,complement(meet(X_48,X_167))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_167),meet(X_48,X_167))),meet(complement(meet(X_48,X_167)),X_167)) )],[refute_0_1725,refute_0_1726]) ).
cnf(refute_0_1728,plain,
complement(join(complement(X_167),meet(X_48,X_167))) = meet(X_167,complement(meet(X_48,X_167))),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_48,X_167)),X_167),meet(X_167,complement(meet(X_48,X_167)))) )],[refute_0_1716,refute_0_1727]) ).
cnf(refute_0_1729,plain,
meet(X_48,complement(join(complement(X_167),meet(X_48,X_167)))) = meet(X_48,complement(join(complement(X_167),meet(X_48,X_167)))),
introduced(tautology,[refl,[$fot(meet(X_48,complement(join(complement(X_167),meet(X_48,X_167)))))]]) ).
cnf(refute_0_1730,plain,
( complement(join(complement(X_167),meet(X_48,X_167))) != meet(X_167,complement(meet(X_48,X_167)))
| meet(X_48,complement(join(complement(X_167),meet(X_48,X_167)))) != meet(X_48,complement(join(complement(X_167),meet(X_48,X_167))))
| meet(X_48,complement(join(complement(X_167),meet(X_48,X_167)))) = meet(X_48,meet(X_167,complement(meet(X_48,X_167)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_48,complement(join(complement(X_167),meet(X_48,X_167)))),meet(X_48,complement(join(complement(X_167),meet(X_48,X_167))))) ),[1,1],$fot(meet(X_167,complement(meet(X_48,X_167))))]]) ).
cnf(refute_0_1731,plain,
( complement(join(complement(X_167),meet(X_48,X_167))) != meet(X_167,complement(meet(X_48,X_167)))
| meet(X_48,complement(join(complement(X_167),meet(X_48,X_167)))) = meet(X_48,meet(X_167,complement(meet(X_48,X_167)))) ),
inference(resolve,[$cnf( $equal(meet(X_48,complement(join(complement(X_167),meet(X_48,X_167)))),meet(X_48,complement(join(complement(X_167),meet(X_48,X_167))))) )],[refute_0_1729,refute_0_1730]) ).
cnf(refute_0_1732,plain,
meet(X_48,complement(join(complement(X_167),meet(X_48,X_167)))) = meet(X_48,meet(X_167,complement(meet(X_48,X_167)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_167),meet(X_48,X_167))),meet(X_167,complement(meet(X_48,X_167)))) )],[refute_0_1728,refute_0_1731]) ).
cnf(refute_0_1733,plain,
meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48) = meet(X_48,complement(join(complement(X_167),meet(X_48,X_167)))),
inference(subst,[],[refute_0_191:[bind(X_10,$fot(X_48)),bind(X_11,$fot(complement(join(complement(X_167),meet(X_48,X_167)))))]]) ).
cnf(refute_0_1734,plain,
( meet(X_48,complement(join(complement(X_167),meet(X_48,X_167)))) != meet(X_48,meet(X_167,complement(meet(X_48,X_167))))
| meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48) != meet(X_48,complement(join(complement(X_167),meet(X_48,X_167))))
| meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48) = meet(X_48,meet(X_167,complement(meet(X_48,X_167)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48))),bind(Y,$fot(meet(X_48,complement(join(complement(X_167),meet(X_48,X_167)))))),bind(Z,$fot(meet(X_48,meet(X_167,complement(meet(X_48,X_167))))))]]) ).
cnf(refute_0_1735,plain,
( meet(X_48,complement(join(complement(X_167),meet(X_48,X_167)))) != meet(X_48,meet(X_167,complement(meet(X_48,X_167))))
| meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48) = meet(X_48,meet(X_167,complement(meet(X_48,X_167)))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48),meet(X_48,complement(join(complement(X_167),meet(X_48,X_167))))) )],[refute_0_1733,refute_0_1734]) ).
cnf(refute_0_1736,plain,
meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48) = meet(X_48,meet(X_167,complement(meet(X_48,X_167)))),
inference(resolve,[$cnf( $equal(meet(X_48,complement(join(complement(X_167),meet(X_48,X_167)))),meet(X_48,meet(X_167,complement(meet(X_48,X_167))))) )],[refute_0_1732,refute_0_1735]) ).
cnf(refute_0_1737,plain,
join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48)) = join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48)),
introduced(tautology,[refl,[$fot(join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48)))]]) ).
cnf(refute_0_1738,plain,
( join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48)) != join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48))
| meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48) != meet(X_48,meet(X_167,complement(meet(X_48,X_167))))
| join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48)) = join(X_48,meet(X_48,meet(X_167,complement(meet(X_48,X_167))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48)),join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48))) ),[1,1],$fot(meet(X_48,meet(X_167,complement(meet(X_48,X_167)))))]]) ).
cnf(refute_0_1739,plain,
( meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48) != meet(X_48,meet(X_167,complement(meet(X_48,X_167))))
| join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48)) = join(X_48,meet(X_48,meet(X_167,complement(meet(X_48,X_167))))) ),
inference(resolve,[$cnf( $equal(join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48)),join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48))) )],[refute_0_1737,refute_0_1738]) ).
cnf(refute_0_1740,plain,
join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48)) = join(X_48,meet(X_48,meet(X_167,complement(meet(X_48,X_167))))),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48),meet(X_48,meet(X_167,complement(meet(X_48,X_167))))) )],[refute_0_1736,refute_0_1739]) ).
cnf(refute_0_1741,plain,
( X_48 != join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48))
| join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48)) != join(X_48,meet(X_48,meet(X_167,complement(meet(X_48,X_167)))))
| X_48 = join(X_48,meet(X_48,meet(X_167,complement(meet(X_48,X_167))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_48,join(X_48,meet(X_48,meet(X_167,complement(meet(X_48,X_167)))))) ),[0],$fot(join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48)))]]) ).
cnf(refute_0_1742,plain,
( X_48 != join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48))
| X_48 = join(X_48,meet(X_48,meet(X_167,complement(meet(X_48,X_167))))) ),
inference(resolve,[$cnf( $equal(join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48)),join(X_48,meet(X_48,meet(X_167,complement(meet(X_48,X_167)))))) )],[refute_0_1740,refute_0_1741]) ).
cnf(refute_0_1743,plain,
X_48 = join(X_48,meet(X_48,meet(X_167,complement(meet(X_48,X_167))))),
inference(resolve,[$cnf( $equal(X_48,join(X_48,meet(complement(join(complement(X_167),meet(X_48,X_167))),X_48))) )],[refute_0_1715,refute_0_1742]) ).
cnf(refute_0_1744,plain,
X_80 = join(X_80,meet(X_80,meet(X_169,complement(meet(X_80,X_169))))),
inference(subst,[],[refute_0_1743:[bind(X_167,$fot(X_169)),bind(X_48,$fot(X_80))]]) ).
cnf(refute_0_1745,plain,
( X_80 != join(X_80,meet(X_80,meet(X_169,complement(meet(X_80,X_169)))))
| join(X_80,meet(X_80,meet(X_169,complement(meet(X_80,X_169))))) = X_80 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_80)),bind(Y,$fot(join(X_80,meet(X_80,meet(X_169,complement(meet(X_80,X_169)))))))]]) ).
cnf(refute_0_1746,plain,
join(X_80,meet(X_80,meet(X_169,complement(meet(X_80,X_169))))) = X_80,
inference(resolve,[$cnf( $equal(X_80,join(X_80,meet(X_80,meet(X_169,complement(meet(X_80,X_169)))))) )],[refute_0_1744,refute_0_1745]) ).
cnf(refute_0_1747,plain,
( join(X0,join(X_80,meet(X_80,meet(X_169,complement(meet(X_80,X_169)))))) != join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0))
| join(X_80,meet(X_80,meet(X_169,complement(meet(X_80,X_169))))) != X_80
| join(X0,X_80) = join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X_80,meet(X_80,meet(X_169,complement(meet(X_80,X_169)))))),join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0))) ),[0,1],$fot(X_80)]]) ).
cnf(refute_0_1748,plain,
( join(X0,join(X_80,meet(X_80,meet(X_169,complement(meet(X_80,X_169)))))) != join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0))
| join(X0,X_80) = join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)) ),
inference(resolve,[$cnf( $equal(join(X_80,meet(X_80,meet(X_169,complement(meet(X_80,X_169))))),X_80) )],[refute_0_1746,refute_0_1747]) ).
cnf(refute_0_1749,plain,
join(X0,X_80) = join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_80,meet(X_80,meet(X_169,complement(meet(X_80,X_169)))))),join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0))) )],[refute_0_1708,refute_0_1748]) ).
cnf(refute_0_1750,plain,
join(zero,X0) = X0,
inference(subst,[],[refute_0_565:[bind(X_39,$fot(X0))]]) ).
cnf(refute_0_1751,plain,
meet(complement(join(complement(X_11),meet(X_197,X_11))),meet(X_197,join(complement(X_11),meet(X_197,X_11)))) = zero,
inference(subst,[],[refute_0_1176:[bind(X_137,$fot(join(complement(X_11),meet(X_197,X_11)))),bind(X_194,$fot(X_197))]]) ).
cnf(refute_0_1752,plain,
X_197 = meet(X_197,join(complement(X_11),meet(X_197,X_11))),
inference(subst,[],[refute_0_1697:[bind(X_39,$fot(X_197))]]) ).
cnf(refute_0_1753,plain,
( X_197 != meet(X_197,join(complement(X_11),meet(X_197,X_11)))
| meet(X_197,join(complement(X_11),meet(X_197,X_11))) = X_197 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_197)),bind(Y,$fot(meet(X_197,join(complement(X_11),meet(X_197,X_11)))))]]) ).
cnf(refute_0_1754,plain,
meet(X_197,join(complement(X_11),meet(X_197,X_11))) = X_197,
inference(resolve,[$cnf( $equal(X_197,meet(X_197,join(complement(X_11),meet(X_197,X_11)))) )],[refute_0_1752,refute_0_1753]) ).
cnf(refute_0_1755,plain,
( meet(X_197,join(complement(X_11),meet(X_197,X_11))) != X_197
| meet(complement(join(complement(X_11),meet(X_197,X_11))),meet(X_197,join(complement(X_11),meet(X_197,X_11)))) != zero
| meet(complement(join(complement(X_11),meet(X_197,X_11))),X_197) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(complement(X_11),meet(X_197,X_11))),meet(X_197,join(complement(X_11),meet(X_197,X_11)))),zero) ),[0,1],$fot(X_197)]]) ).
cnf(refute_0_1756,plain,
( meet(complement(join(complement(X_11),meet(X_197,X_11))),meet(X_197,join(complement(X_11),meet(X_197,X_11)))) != zero
| meet(complement(join(complement(X_11),meet(X_197,X_11))),X_197) = zero ),
inference(resolve,[$cnf( $equal(meet(X_197,join(complement(X_11),meet(X_197,X_11))),X_197) )],[refute_0_1754,refute_0_1755]) ).
cnf(refute_0_1757,plain,
meet(complement(join(complement(X_11),meet(X_197,X_11))),X_197) = zero,
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_11),meet(X_197,X_11))),meet(X_197,join(complement(X_11),meet(X_197,X_11)))),zero) )],[refute_0_1751,refute_0_1756]) ).
cnf(refute_0_1758,plain,
meet(complement(meet(X_197,X_11)),X_11) = meet(X_11,complement(meet(X_197,X_11))),
inference(subst,[],[refute_0_191:[bind(X_10,$fot(X_11)),bind(X_11,$fot(complement(meet(X_197,X_11))))]]) ).
cnf(refute_0_1759,plain,
complement(join(complement(X_11),meet(X_197,X_11))) = meet(complement(meet(X_197,X_11)),X_11),
inference(subst,[],[refute_0_1724:[bind(X_138,$fot(X_11)),bind(X_139,$fot(meet(X_197,X_11)))]]) ).
cnf(refute_0_1760,plain,
( complement(join(complement(X_11),meet(X_197,X_11))) != meet(complement(meet(X_197,X_11)),X_11)
| meet(complement(meet(X_197,X_11)),X_11) != meet(X_11,complement(meet(X_197,X_11)))
| complement(join(complement(X_11),meet(X_197,X_11))) = meet(X_11,complement(meet(X_197,X_11))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(complement(X_11),meet(X_197,X_11))))),bind(Y,$fot(meet(complement(meet(X_197,X_11)),X_11))),bind(Z,$fot(meet(X_11,complement(meet(X_197,X_11)))))]]) ).
cnf(refute_0_1761,plain,
( meet(complement(meet(X_197,X_11)),X_11) != meet(X_11,complement(meet(X_197,X_11)))
| complement(join(complement(X_11),meet(X_197,X_11))) = meet(X_11,complement(meet(X_197,X_11))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_11),meet(X_197,X_11))),meet(complement(meet(X_197,X_11)),X_11)) )],[refute_0_1759,refute_0_1760]) ).
cnf(refute_0_1762,plain,
complement(join(complement(X_11),meet(X_197,X_11))) = meet(X_11,complement(meet(X_197,X_11))),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_197,X_11)),X_11),meet(X_11,complement(meet(X_197,X_11)))) )],[refute_0_1758,refute_0_1761]) ).
cnf(refute_0_1763,plain,
meet(X_197,complement(join(complement(X_11),meet(X_197,X_11)))) = meet(X_197,complement(join(complement(X_11),meet(X_197,X_11)))),
introduced(tautology,[refl,[$fot(meet(X_197,complement(join(complement(X_11),meet(X_197,X_11)))))]]) ).
cnf(refute_0_1764,plain,
( complement(join(complement(X_11),meet(X_197,X_11))) != meet(X_11,complement(meet(X_197,X_11)))
| meet(X_197,complement(join(complement(X_11),meet(X_197,X_11)))) != meet(X_197,complement(join(complement(X_11),meet(X_197,X_11))))
| meet(X_197,complement(join(complement(X_11),meet(X_197,X_11)))) = meet(X_197,meet(X_11,complement(meet(X_197,X_11)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_197,complement(join(complement(X_11),meet(X_197,X_11)))),meet(X_197,complement(join(complement(X_11),meet(X_197,X_11))))) ),[1,1],$fot(meet(X_11,complement(meet(X_197,X_11))))]]) ).
cnf(refute_0_1765,plain,
( complement(join(complement(X_11),meet(X_197,X_11))) != meet(X_11,complement(meet(X_197,X_11)))
| meet(X_197,complement(join(complement(X_11),meet(X_197,X_11)))) = meet(X_197,meet(X_11,complement(meet(X_197,X_11)))) ),
inference(resolve,[$cnf( $equal(meet(X_197,complement(join(complement(X_11),meet(X_197,X_11)))),meet(X_197,complement(join(complement(X_11),meet(X_197,X_11))))) )],[refute_0_1763,refute_0_1764]) ).
cnf(refute_0_1766,plain,
meet(X_197,complement(join(complement(X_11),meet(X_197,X_11)))) = meet(X_197,meet(X_11,complement(meet(X_197,X_11)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_11),meet(X_197,X_11))),meet(X_11,complement(meet(X_197,X_11)))) )],[refute_0_1762,refute_0_1765]) ).
cnf(refute_0_1767,plain,
meet(complement(join(complement(X_11),meet(X_197,X_11))),X_197) = meet(X_197,complement(join(complement(X_11),meet(X_197,X_11)))),
inference(subst,[],[refute_0_191:[bind(X_10,$fot(X_197)),bind(X_11,$fot(complement(join(complement(X_11),meet(X_197,X_11)))))]]) ).
cnf(refute_0_1768,plain,
( meet(X_197,complement(join(complement(X_11),meet(X_197,X_11)))) != meet(X_197,meet(X_11,complement(meet(X_197,X_11))))
| meet(complement(join(complement(X_11),meet(X_197,X_11))),X_197) != meet(X_197,complement(join(complement(X_11),meet(X_197,X_11))))
| meet(complement(join(complement(X_11),meet(X_197,X_11))),X_197) = meet(X_197,meet(X_11,complement(meet(X_197,X_11)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(complement(X_11),meet(X_197,X_11))),X_197))),bind(Y,$fot(meet(X_197,complement(join(complement(X_11),meet(X_197,X_11)))))),bind(Z,$fot(meet(X_197,meet(X_11,complement(meet(X_197,X_11))))))]]) ).
cnf(refute_0_1769,plain,
( meet(X_197,complement(join(complement(X_11),meet(X_197,X_11)))) != meet(X_197,meet(X_11,complement(meet(X_197,X_11))))
| meet(complement(join(complement(X_11),meet(X_197,X_11))),X_197) = meet(X_197,meet(X_11,complement(meet(X_197,X_11)))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_11),meet(X_197,X_11))),X_197),meet(X_197,complement(join(complement(X_11),meet(X_197,X_11))))) )],[refute_0_1767,refute_0_1768]) ).
cnf(refute_0_1770,plain,
meet(complement(join(complement(X_11),meet(X_197,X_11))),X_197) = meet(X_197,meet(X_11,complement(meet(X_197,X_11)))),
inference(resolve,[$cnf( $equal(meet(X_197,complement(join(complement(X_11),meet(X_197,X_11)))),meet(X_197,meet(X_11,complement(meet(X_197,X_11))))) )],[refute_0_1766,refute_0_1769]) ).
cnf(refute_0_1771,plain,
( meet(complement(join(complement(X_11),meet(X_197,X_11))),X_197) != meet(X_197,meet(X_11,complement(meet(X_197,X_11))))
| meet(complement(join(complement(X_11),meet(X_197,X_11))),X_197) != zero
| meet(X_197,meet(X_11,complement(meet(X_197,X_11)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(complement(X_11),meet(X_197,X_11))),X_197),zero) ),[0],$fot(meet(X_197,meet(X_11,complement(meet(X_197,X_11)))))]]) ).
cnf(refute_0_1772,plain,
( meet(complement(join(complement(X_11),meet(X_197,X_11))),X_197) != zero
| meet(X_197,meet(X_11,complement(meet(X_197,X_11)))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_11),meet(X_197,X_11))),X_197),meet(X_197,meet(X_11,complement(meet(X_197,X_11))))) )],[refute_0_1770,refute_0_1771]) ).
cnf(refute_0_1773,plain,
meet(X_197,meet(X_11,complement(meet(X_197,X_11)))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_11),meet(X_197,X_11))),X_197),zero) )],[refute_0_1757,refute_0_1772]) ).
cnf(refute_0_1774,plain,
meet(X_80,meet(X_169,complement(meet(X_80,X_169)))) = zero,
inference(subst,[],[refute_0_1773:[bind(X_11,$fot(X_169)),bind(X_197,$fot(X_80))]]) ).
cnf(refute_0_1775,plain,
join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0) = join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0),
introduced(tautology,[refl,[$fot(join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0))]]) ).
cnf(refute_0_1776,plain,
( join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0) != join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)
| meet(X_80,meet(X_169,complement(meet(X_80,X_169)))) != zero
| join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0) = join(zero,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0),join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1777,plain,
( meet(X_80,meet(X_169,complement(meet(X_80,X_169)))) != zero
| join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0) = join(zero,X0) ),
inference(resolve,[$cnf( $equal(join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0),join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)) )],[refute_0_1775,refute_0_1776]) ).
cnf(refute_0_1778,plain,
join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0) = join(zero,X0),
inference(resolve,[$cnf( $equal(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),zero) )],[refute_0_1774,refute_0_1777]) ).
cnf(refute_0_1779,plain,
( join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0) != join(zero,X0)
| join(zero,X0) != X0
| join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0) = X0 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0))),bind(Y,$fot(join(zero,X0))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_1780,plain,
( join(zero,X0) != X0
| join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0) = X0 ),
inference(resolve,[$cnf( $equal(join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0),join(zero,X0)) )],[refute_0_1778,refute_0_1779]) ).
cnf(refute_0_1781,plain,
join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0) = X0,
inference(resolve,[$cnf( $equal(join(zero,X0),X0) )],[refute_0_1750,refute_0_1780]) ).
cnf(refute_0_1782,plain,
join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)) = join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)),
introduced(tautology,[refl,[$fot(join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)))]]) ).
cnf(refute_0_1783,plain,
( join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)) != join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0))
| join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0) != X0
| join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)) = join(X_80,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)),join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_1784,plain,
( join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0) != X0
| join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)) = join(X_80,X0) ),
inference(resolve,[$cnf( $equal(join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)),join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0))) )],[refute_0_1782,refute_0_1783]) ).
cnf(refute_0_1785,plain,
join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)) = join(X_80,X0),
inference(resolve,[$cnf( $equal(join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0),X0) )],[refute_0_1781,refute_0_1784]) ).
cnf(refute_0_1786,plain,
( join(X0,X_80) != join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0))
| join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)) != join(X_80,X0)
| join(X0,X_80) = join(X_80,X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,X_80),join(X_80,X0)) ),[0],$fot(join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)))]]) ).
cnf(refute_0_1787,plain,
( join(X0,X_80) != join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0))
| join(X0,X_80) = join(X_80,X0) ),
inference(resolve,[$cnf( $equal(join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0)),join(X_80,X0)) )],[refute_0_1785,refute_0_1786]) ).
cnf(refute_0_1788,plain,
join(X0,X_80) = join(X_80,X0),
inference(resolve,[$cnf( $equal(join(X0,X_80),join(X_80,join(meet(X_80,meet(X_169,complement(meet(X_80,X_169)))),X0))) )],[refute_0_1749,refute_0_1787]) ).
cnf(refute_0_1789,plain,
( join(X0,X_80) != join(X_80,X0)
| join(X_80,X0) = join(X0,X_80) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,X_80))),bind(Y,$fot(join(X_80,X0)))]]) ).
cnf(refute_0_1790,plain,
join(X_80,X0) = join(X0,X_80),
inference(resolve,[$cnf( $equal(join(X0,X_80),join(X_80,X0)) )],[refute_0_1788,refute_0_1789]) ).
cnf(refute_0_1791,plain,
join(join(X_224,meet(X_39,complement(X_224))),X_39) = join(X_39,join(X_224,meet(X_39,complement(X_224)))),
inference(subst,[],[refute_0_1790:[bind(X0,$fot(X_39)),bind(X_80,$fot(join(X_224,meet(X_39,complement(X_224)))))]]) ).
cnf(refute_0_1792,plain,
( join(X_224,meet(X_39,complement(X_224))) != join(join(X_224,meet(X_39,complement(X_224))),X_39)
| join(join(X_224,meet(X_39,complement(X_224))),X_39) != join(X_39,join(X_224,meet(X_39,complement(X_224))))
| join(X_224,meet(X_39,complement(X_224))) = join(X_39,join(X_224,meet(X_39,complement(X_224)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_224,meet(X_39,complement(X_224))),join(X_39,join(X_224,meet(X_39,complement(X_224))))) ),[0],$fot(join(join(X_224,meet(X_39,complement(X_224))),X_39))]]) ).
cnf(refute_0_1793,plain,
( join(X_224,meet(X_39,complement(X_224))) != join(join(X_224,meet(X_39,complement(X_224))),X_39)
| join(X_224,meet(X_39,complement(X_224))) = join(X_39,join(X_224,meet(X_39,complement(X_224)))) ),
inference(resolve,[$cnf( $equal(join(join(X_224,meet(X_39,complement(X_224))),X_39),join(X_39,join(X_224,meet(X_39,complement(X_224))))) )],[refute_0_1791,refute_0_1792]) ).
cnf(refute_0_1794,plain,
join(X_224,meet(X_39,complement(X_224))) = join(X_39,join(X_224,meet(X_39,complement(X_224)))),
inference(resolve,[$cnf( $equal(join(X_224,meet(X_39,complement(X_224))),join(join(X_224,meet(X_39,complement(X_224))),X_39)) )],[refute_0_1707,refute_0_1793]) ).
cnf(refute_0_1795,plain,
join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),join(X_81,meet(X_298,complement(X_297))))) = join(X_298,join(X_81,meet(X_298,complement(X_297)))),
inference(subst,[],[refute_0_1492:[bind(X_47,$fot(X_297)),bind(X_48,$fot(X_298)),bind(X_82,$fot(join(X_81,meet(X_298,complement(X_297)))))]]) ).
cnf(refute_0_1796,plain,
join(X_81,meet(X_298,complement(X_297))) = join(meet(X_298,complement(X_297)),join(X_81,meet(X_298,complement(X_297)))),
inference(subst,[],[refute_0_1068:[bind(X_82,$fot(meet(X_298,complement(X_297))))]]) ).
cnf(refute_0_1797,plain,
( join(X_81,meet(X_298,complement(X_297))) != join(meet(X_298,complement(X_297)),join(X_81,meet(X_298,complement(X_297))))
| join(meet(X_298,complement(X_297)),join(X_81,meet(X_298,complement(X_297)))) = join(X_81,meet(X_298,complement(X_297))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_81,meet(X_298,complement(X_297))))),bind(Y,$fot(join(meet(X_298,complement(X_297)),join(X_81,meet(X_298,complement(X_297))))))]]) ).
cnf(refute_0_1798,plain,
join(meet(X_298,complement(X_297)),join(X_81,meet(X_298,complement(X_297)))) = join(X_81,meet(X_298,complement(X_297))),
inference(resolve,[$cnf( $equal(join(X_81,meet(X_298,complement(X_297))),join(meet(X_298,complement(X_297)),join(X_81,meet(X_298,complement(X_297))))) )],[refute_0_1796,refute_0_1797]) ).
cnf(refute_0_1799,plain,
( join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),join(X_81,meet(X_298,complement(X_297))))) != join(X_298,join(X_81,meet(X_298,complement(X_297))))
| join(meet(X_298,complement(X_297)),join(X_81,meet(X_298,complement(X_297)))) != join(X_81,meet(X_298,complement(X_297)))
| join(meet(X_297,X_298),join(X_81,meet(X_298,complement(X_297)))) = join(X_298,join(X_81,meet(X_298,complement(X_297)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),join(X_81,meet(X_298,complement(X_297))))),join(X_298,join(X_81,meet(X_298,complement(X_297))))) ),[0,1],$fot(join(X_81,meet(X_298,complement(X_297))))]]) ).
cnf(refute_0_1800,plain,
( join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),join(X_81,meet(X_298,complement(X_297))))) != join(X_298,join(X_81,meet(X_298,complement(X_297))))
| join(meet(X_297,X_298),join(X_81,meet(X_298,complement(X_297)))) = join(X_298,join(X_81,meet(X_298,complement(X_297)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_298,complement(X_297)),join(X_81,meet(X_298,complement(X_297)))),join(X_81,meet(X_298,complement(X_297)))) )],[refute_0_1798,refute_0_1799]) ).
cnf(refute_0_1801,plain,
join(meet(X_297,X_298),join(X_81,meet(X_298,complement(X_297)))) = join(X_298,join(X_81,meet(X_298,complement(X_297)))),
inference(resolve,[$cnf( $equal(join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),join(X_81,meet(X_298,complement(X_297))))),join(X_298,join(X_81,meet(X_298,complement(X_297))))) )],[refute_0_1795,refute_0_1800]) ).
cnf(refute_0_1802,plain,
join(meet(X_297,X_298),join(X_81,meet(X_298,complement(X_297)))) = join(X_81,X_298),
inference(subst,[],[refute_0_1531:[bind(X_130,$fot(X_81)),bind(X_47,$fot(X_297)),bind(X_48,$fot(X_298))]]) ).
cnf(refute_0_1803,plain,
( join(meet(X_297,X_298),join(X_81,meet(X_298,complement(X_297)))) != join(X_298,join(X_81,meet(X_298,complement(X_297))))
| join(meet(X_297,X_298),join(X_81,meet(X_298,complement(X_297)))) != join(X_81,X_298)
| join(X_81,X_298) = join(X_298,join(X_81,meet(X_298,complement(X_297)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_297,X_298),join(X_81,meet(X_298,complement(X_297)))),join(X_298,join(X_81,meet(X_298,complement(X_297))))) ),[0],$fot(join(X_81,X_298))]]) ).
cnf(refute_0_1804,plain,
( join(meet(X_297,X_298),join(X_81,meet(X_298,complement(X_297)))) != join(X_298,join(X_81,meet(X_298,complement(X_297))))
| join(X_81,X_298) = join(X_298,join(X_81,meet(X_298,complement(X_297)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_297,X_298),join(X_81,meet(X_298,complement(X_297)))),join(X_81,X_298)) )],[refute_0_1802,refute_0_1803]) ).
cnf(refute_0_1805,plain,
join(X_81,X_298) = join(X_298,join(X_81,meet(X_298,complement(X_297)))),
inference(resolve,[$cnf( $equal(join(meet(X_297,X_298),join(X_81,meet(X_298,complement(X_297)))),join(X_298,join(X_81,meet(X_298,complement(X_297))))) )],[refute_0_1801,refute_0_1804]) ).
cnf(refute_0_1806,plain,
( join(X_81,X_298) != join(X_298,join(X_81,meet(X_298,complement(X_297))))
| join(X_298,join(X_81,meet(X_298,complement(X_297)))) = join(X_81,X_298) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_81,X_298))),bind(Y,$fot(join(X_298,join(X_81,meet(X_298,complement(X_297))))))]]) ).
cnf(refute_0_1807,plain,
join(X_298,join(X_81,meet(X_298,complement(X_297)))) = join(X_81,X_298),
inference(resolve,[$cnf( $equal(join(X_81,X_298),join(X_298,join(X_81,meet(X_298,complement(X_297))))) )],[refute_0_1805,refute_0_1806]) ).
cnf(refute_0_1808,plain,
join(X_39,join(X_224,meet(X_39,complement(X_224)))) = join(X_224,X_39),
inference(subst,[],[refute_0_1807:[bind(X_297,$fot(X_224)),bind(X_298,$fot(X_39)),bind(X_81,$fot(X_224))]]) ).
cnf(refute_0_1809,plain,
( join(X_224,meet(X_39,complement(X_224))) != join(X_39,join(X_224,meet(X_39,complement(X_224))))
| join(X_39,join(X_224,meet(X_39,complement(X_224)))) != join(X_224,X_39)
| join(X_224,meet(X_39,complement(X_224))) = join(X_224,X_39) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_224,meet(X_39,complement(X_224))),join(X_224,X_39)) ),[0],$fot(join(X_39,join(X_224,meet(X_39,complement(X_224)))))]]) ).
cnf(refute_0_1810,plain,
( join(X_224,meet(X_39,complement(X_224))) != join(X_39,join(X_224,meet(X_39,complement(X_224))))
| join(X_224,meet(X_39,complement(X_224))) = join(X_224,X_39) ),
inference(resolve,[$cnf( $equal(join(X_39,join(X_224,meet(X_39,complement(X_224)))),join(X_224,X_39)) )],[refute_0_1808,refute_0_1809]) ).
cnf(refute_0_1811,plain,
join(X_224,meet(X_39,complement(X_224))) = join(X_224,X_39),
inference(resolve,[$cnf( $equal(join(X_224,meet(X_39,complement(X_224))),join(X_39,join(X_224,meet(X_39,complement(X_224))))) )],[refute_0_1794,refute_0_1810]) ).
cnf(refute_0_1812,plain,
join(X_217,meet(X_594,complement(X_217))) = join(X_217,X_594),
inference(subst,[],[refute_0_1811:[bind(X_224,$fot(X_217)),bind(X_39,$fot(X_594))]]) ).
cnf(refute_0_1813,plain,
( join(X_217,meet(X_594,complement(X_217))) != join(X_217,X_594)
| meet(join(X_217,meet(X_594,complement(X_217))),join(meet(X_594,complement(X_217)),complement(X_217))) != meet(X_594,complement(X_217))
| meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))) = meet(X_594,complement(X_217)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_217,meet(X_594,complement(X_217))),join(meet(X_594,complement(X_217)),complement(X_217))),meet(X_594,complement(X_217))) ),[0,0],$fot(join(X_217,X_594))]]) ).
cnf(refute_0_1814,plain,
( meet(join(X_217,meet(X_594,complement(X_217))),join(meet(X_594,complement(X_217)),complement(X_217))) != meet(X_594,complement(X_217))
| meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))) = meet(X_594,complement(X_217)) ),
inference(resolve,[$cnf( $equal(join(X_217,meet(X_594,complement(X_217))),join(X_217,X_594)) )],[refute_0_1812,refute_0_1813]) ).
cnf(refute_0_1815,plain,
meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))) = meet(X_594,complement(X_217)),
inference(resolve,[$cnf( $equal(meet(join(X_217,meet(X_594,complement(X_217))),join(meet(X_594,complement(X_217)),complement(X_217))),meet(X_594,complement(X_217))) )],[refute_0_1674,refute_0_1814]) ).
cnf(refute_0_1816,plain,
meet(join(X_217,X_594),complement(X_217)) = meet(complement(X_217),join(X_217,X_594)),
inference(subst,[],[refute_0_1482:[bind(X_47,$fot(join(X_217,X_594))),bind(X_48,$fot(complement(X_217)))]]) ).
cnf(refute_0_1817,plain,
join(complement(X_217),meet(X_594,complement(X_217))) = complement(X_217),
inference(subst,[],[refute_0_1136:[bind(X_191,$fot(complement(X_217))),bind(X_39,$fot(X_594))]]) ).
cnf(refute_0_1818,plain,
join(meet(X_594,complement(X_217)),complement(X_217)) = join(complement(X_217),meet(X_594,complement(X_217))),
inference(subst,[],[refute_0_1790:[bind(X0,$fot(complement(X_217))),bind(X_80,$fot(meet(X_594,complement(X_217))))]]) ).
cnf(refute_0_1819,plain,
( join(complement(X_217),meet(X_594,complement(X_217))) != complement(X_217)
| join(meet(X_594,complement(X_217)),complement(X_217)) != join(complement(X_217),meet(X_594,complement(X_217)))
| join(meet(X_594,complement(X_217)),complement(X_217)) = complement(X_217) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_594,complement(X_217)),complement(X_217)))),bind(Y,$fot(join(complement(X_217),meet(X_594,complement(X_217))))),bind(Z,$fot(complement(X_217)))]]) ).
cnf(refute_0_1820,plain,
( join(complement(X_217),meet(X_594,complement(X_217))) != complement(X_217)
| join(meet(X_594,complement(X_217)),complement(X_217)) = complement(X_217) ),
inference(resolve,[$cnf( $equal(join(meet(X_594,complement(X_217)),complement(X_217)),join(complement(X_217),meet(X_594,complement(X_217)))) )],[refute_0_1818,refute_0_1819]) ).
cnf(refute_0_1821,plain,
join(meet(X_594,complement(X_217)),complement(X_217)) = complement(X_217),
inference(resolve,[$cnf( $equal(join(complement(X_217),meet(X_594,complement(X_217))),complement(X_217)) )],[refute_0_1817,refute_0_1820]) ).
cnf(refute_0_1822,plain,
meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))) = meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))),
introduced(tautology,[refl,[$fot(meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))))]]) ).
cnf(refute_0_1823,plain,
( join(meet(X_594,complement(X_217)),complement(X_217)) != complement(X_217)
| meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))) != meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217)))
| meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))) = meet(join(X_217,X_594),complement(X_217)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))),meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217)))) ),[1,1],$fot(complement(X_217))]]) ).
cnf(refute_0_1824,plain,
( join(meet(X_594,complement(X_217)),complement(X_217)) != complement(X_217)
| meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))) = meet(join(X_217,X_594),complement(X_217)) ),
inference(resolve,[$cnf( $equal(meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))),meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217)))) )],[refute_0_1822,refute_0_1823]) ).
cnf(refute_0_1825,plain,
meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))) = meet(join(X_217,X_594),complement(X_217)),
inference(resolve,[$cnf( $equal(join(meet(X_594,complement(X_217)),complement(X_217)),complement(X_217)) )],[refute_0_1821,refute_0_1824]) ).
cnf(refute_0_1826,plain,
( meet(join(X_217,X_594),complement(X_217)) != meet(complement(X_217),join(X_217,X_594))
| meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))) != meet(join(X_217,X_594),complement(X_217))
| meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))) = meet(complement(X_217),join(X_217,X_594)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))))),bind(Y,$fot(meet(join(X_217,X_594),complement(X_217)))),bind(Z,$fot(meet(complement(X_217),join(X_217,X_594))))]]) ).
cnf(refute_0_1827,plain,
( meet(join(X_217,X_594),complement(X_217)) != meet(complement(X_217),join(X_217,X_594))
| meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))) = meet(complement(X_217),join(X_217,X_594)) ),
inference(resolve,[$cnf( $equal(meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))),meet(join(X_217,X_594),complement(X_217))) )],[refute_0_1825,refute_0_1826]) ).
cnf(refute_0_1828,plain,
meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))) = meet(complement(X_217),join(X_217,X_594)),
inference(resolve,[$cnf( $equal(meet(join(X_217,X_594),complement(X_217)),meet(complement(X_217),join(X_217,X_594))) )],[refute_0_1816,refute_0_1827]) ).
cnf(refute_0_1829,plain,
( meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))) != meet(X_594,complement(X_217))
| meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))) != meet(complement(X_217),join(X_217,X_594))
| meet(complement(X_217),join(X_217,X_594)) = meet(X_594,complement(X_217)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))),meet(X_594,complement(X_217))) ),[0],$fot(meet(complement(X_217),join(X_217,X_594)))]]) ).
cnf(refute_0_1830,plain,
( meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))) != meet(X_594,complement(X_217))
| meet(complement(X_217),join(X_217,X_594)) = meet(X_594,complement(X_217)) ),
inference(resolve,[$cnf( $equal(meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))),meet(complement(X_217),join(X_217,X_594))) )],[refute_0_1828,refute_0_1829]) ).
cnf(refute_0_1831,plain,
meet(complement(X_217),join(X_217,X_594)) = meet(X_594,complement(X_217)),
inference(resolve,[$cnf( $equal(meet(join(X_217,X_594),join(meet(X_594,complement(X_217)),complement(X_217))),meet(X_594,complement(X_217))) )],[refute_0_1815,refute_0_1830]) ).
cnf(refute_0_1832,plain,
meet(complement(composition(X_302,top)),join(composition(X_302,top),composition(top,complement(X_302)))) = meet(composition(top,complement(X_302)),complement(composition(X_302,top))),
inference(subst,[],[refute_0_1831:[bind(X_217,$fot(composition(X_302,top))),bind(X_594,$fot(composition(top,complement(X_302))))]]) ).
cnf(refute_0_1833,plain,
converse(converse(join(composition(X_302,top),composition(top,complement(X_302))))) = join(composition(X_302,top),composition(top,complement(X_302))),
inference(subst,[],[refute_0_46:[bind(X0,$fot(join(composition(X_302,top),composition(top,complement(X_302)))))]]) ).
cnf(refute_0_1834,plain,
top = join(converse(composition(X_4,top)),composition(complement(meet(converse(X_4),converse(composition(X_4,top)))),top)),
inference(subst,[],[refute_0_1496:[bind(X_297,$fot(converse(X_4))),bind(X_298,$fot(converse(composition(X_4,top))))]]) ).
cnf(refute_0_1835,plain,
converse(X_4) = meet(converse(X_4),composition(top,converse(X_4))),
inference(subst,[],[refute_0_1208:[bind(X_242,$fot(converse(X_4)))]]) ).
cnf(refute_0_1836,plain,
( converse(composition(X_4,top)) != composition(top,converse(X_4))
| composition(top,converse(X_4)) = converse(composition(X_4,top)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(X_4,top)))),bind(Y,$fot(composition(top,converse(X_4))))]]) ).
cnf(refute_0_1837,plain,
composition(top,converse(X_4)) = converse(composition(X_4,top)),
inference(resolve,[$cnf( $equal(converse(composition(X_4,top)),composition(top,converse(X_4))) )],[refute_0_1256,refute_0_1836]) ).
cnf(refute_0_1838,plain,
( composition(top,converse(X_4)) != converse(composition(X_4,top))
| converse(X_4) != meet(converse(X_4),composition(top,converse(X_4)))
| converse(X_4) = meet(converse(X_4),converse(composition(X_4,top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(X_4),meet(converse(X_4),composition(top,converse(X_4)))) ),[1,1],$fot(converse(composition(X_4,top)))]]) ).
cnf(refute_0_1839,plain,
( converse(X_4) != meet(converse(X_4),composition(top,converse(X_4)))
| converse(X_4) = meet(converse(X_4),converse(composition(X_4,top))) ),
inference(resolve,[$cnf( $equal(composition(top,converse(X_4)),converse(composition(X_4,top))) )],[refute_0_1837,refute_0_1838]) ).
cnf(refute_0_1840,plain,
converse(X_4) = meet(converse(X_4),converse(composition(X_4,top))),
inference(resolve,[$cnf( $equal(converse(X_4),meet(converse(X_4),composition(top,converse(X_4)))) )],[refute_0_1835,refute_0_1839]) ).
cnf(refute_0_1841,plain,
( converse(X_4) != meet(converse(X_4),converse(composition(X_4,top)))
| meet(converse(X_4),converse(composition(X_4,top))) = converse(X_4) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(X_4))),bind(Y,$fot(meet(converse(X_4),converse(composition(X_4,top)))))]]) ).
cnf(refute_0_1842,plain,
meet(converse(X_4),converse(composition(X_4,top))) = converse(X_4),
inference(resolve,[$cnf( $equal(converse(X_4),meet(converse(X_4),converse(composition(X_4,top)))) )],[refute_0_1840,refute_0_1841]) ).
cnf(refute_0_1843,plain,
( meet(converse(X_4),converse(composition(X_4,top))) != converse(X_4)
| top != join(converse(composition(X_4,top)),composition(complement(meet(converse(X_4),converse(composition(X_4,top)))),top))
| top = join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(composition(X_4,top)),composition(complement(meet(converse(X_4),converse(composition(X_4,top)))),top))) ),[1,1,0,0],$fot(converse(X_4))]]) ).
cnf(refute_0_1844,plain,
( top != join(converse(composition(X_4,top)),composition(complement(meet(converse(X_4),converse(composition(X_4,top)))),top))
| top = join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)) ),
inference(resolve,[$cnf( $equal(meet(converse(X_4),converse(composition(X_4,top))),converse(X_4)) )],[refute_0_1842,refute_0_1843]) ).
cnf(refute_0_1845,plain,
top = join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)),
inference(resolve,[$cnf( $equal(top,join(converse(composition(X_4,top)),composition(complement(meet(converse(X_4),converse(composition(X_4,top)))),top))) )],[refute_0_1834,refute_0_1844]) ).
cnf(refute_0_1846,plain,
join(converse(composition(X_4,top)),converse(composition(top,complement(X_4)))) = converse(join(composition(X_4,top),composition(top,complement(X_4)))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(composition(X_4,top))),bind(X1,$fot(composition(top,complement(X_4))))]]) ).
cnf(refute_0_1847,plain,
converse(composition(converse(top),X_5)) = composition(converse(X_5),top),
inference(subst,[],[refute_0_49:[bind(X0,$fot(top))]]) ).
cnf(refute_0_1848,plain,
( converse(composition(converse(top),X_5)) != composition(converse(X_5),top)
| converse(top) != top
| converse(composition(top,X_5)) = composition(converse(X_5),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(top),X_5)),composition(converse(X_5),top)) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_1849,plain,
( converse(composition(converse(top),X_5)) != composition(converse(X_5),top)
| converse(composition(top,X_5)) = composition(converse(X_5),top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_719,refute_0_1848]) ).
cnf(refute_0_1850,plain,
converse(composition(top,X_5)) = composition(converse(X_5),top),
inference(resolve,[$cnf( $equal(converse(composition(converse(top),X_5)),composition(converse(X_5),top)) )],[refute_0_1847,refute_0_1849]) ).
cnf(refute_0_1851,plain,
converse(composition(top,complement(X_205))) = composition(converse(complement(X_205)),top),
inference(subst,[],[refute_0_1850:[bind(X_5,$fot(complement(X_205)))]]) ).
cnf(refute_0_1852,plain,
( converse(complement(X_205)) != complement(converse(X_205))
| converse(composition(top,complement(X_205))) != composition(converse(complement(X_205)),top)
| converse(composition(top,complement(X_205))) = composition(complement(converse(X_205)),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(X_205))),composition(converse(complement(X_205)),top)) ),[1,0],$fot(complement(converse(X_205)))]]) ).
cnf(refute_0_1853,plain,
( converse(composition(top,complement(X_205))) != composition(converse(complement(X_205)),top)
| converse(composition(top,complement(X_205))) = composition(complement(converse(X_205)),top) ),
inference(resolve,[$cnf( $equal(converse(complement(X_205)),complement(converse(X_205))) )],[refute_0_1408,refute_0_1852]) ).
cnf(refute_0_1854,plain,
converse(composition(top,complement(X_205))) = composition(complement(converse(X_205)),top),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(X_205))),composition(converse(complement(X_205)),top)) )],[refute_0_1851,refute_0_1853]) ).
cnf(refute_0_1855,plain,
( converse(composition(top,complement(X_205))) != composition(complement(converse(X_205)),top)
| composition(complement(converse(X_205)),top) = converse(composition(top,complement(X_205))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(top,complement(X_205))))),bind(Y,$fot(composition(complement(converse(X_205)),top)))]]) ).
cnf(refute_0_1856,plain,
composition(complement(converse(X_205)),top) = converse(composition(top,complement(X_205))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(X_205))),composition(complement(converse(X_205)),top)) )],[refute_0_1854,refute_0_1855]) ).
cnf(refute_0_1857,plain,
composition(complement(converse(X_4)),top) = converse(composition(top,complement(X_4))),
inference(subst,[],[refute_0_1856:[bind(X_205,$fot(X_4))]]) ).
cnf(refute_0_1858,plain,
join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)) = join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)),
introduced(tautology,[refl,[$fot(join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)))]]) ).
cnf(refute_0_1859,plain,
( composition(complement(converse(X_4)),top) != converse(composition(top,complement(X_4)))
| join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)) != join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top))
| join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)) = join(converse(composition(X_4,top)),converse(composition(top,complement(X_4)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)),join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top))) ),[1,1],$fot(converse(composition(top,complement(X_4))))]]) ).
cnf(refute_0_1860,plain,
( composition(complement(converse(X_4)),top) != converse(composition(top,complement(X_4)))
| join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)) = join(converse(composition(X_4,top)),converse(composition(top,complement(X_4)))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)),join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top))) )],[refute_0_1858,refute_0_1859]) ).
cnf(refute_0_1861,plain,
join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)) = join(converse(composition(X_4,top)),converse(composition(top,complement(X_4)))),
inference(resolve,[$cnf( $equal(composition(complement(converse(X_4)),top),converse(composition(top,complement(X_4)))) )],[refute_0_1857,refute_0_1860]) ).
cnf(refute_0_1862,plain,
( join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)) != join(converse(composition(X_4,top)),converse(composition(top,complement(X_4))))
| join(converse(composition(X_4,top)),converse(composition(top,complement(X_4)))) != converse(join(composition(X_4,top),composition(top,complement(X_4))))
| join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)) = converse(join(composition(X_4,top),composition(top,complement(X_4)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)))),bind(Y,$fot(join(converse(composition(X_4,top)),converse(composition(top,complement(X_4)))))),bind(Z,$fot(converse(join(composition(X_4,top),composition(top,complement(X_4))))))]]) ).
cnf(refute_0_1863,plain,
( join(converse(composition(X_4,top)),converse(composition(top,complement(X_4)))) != converse(join(composition(X_4,top),composition(top,complement(X_4))))
| join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)) = converse(join(composition(X_4,top),composition(top,complement(X_4)))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)),join(converse(composition(X_4,top)),converse(composition(top,complement(X_4))))) )],[refute_0_1861,refute_0_1862]) ).
cnf(refute_0_1864,plain,
join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)) = converse(join(composition(X_4,top),composition(top,complement(X_4)))),
inference(resolve,[$cnf( $equal(join(converse(composition(X_4,top)),converse(composition(top,complement(X_4)))),converse(join(composition(X_4,top),composition(top,complement(X_4))))) )],[refute_0_1846,refute_0_1863]) ).
cnf(refute_0_1865,plain,
( join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)) != converse(join(composition(X_4,top),composition(top,complement(X_4))))
| top != join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top))
| top = converse(join(composition(X_4,top),composition(top,complement(X_4)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top))) ),[1],$fot(converse(join(composition(X_4,top),composition(top,complement(X_4)))))]]) ).
cnf(refute_0_1866,plain,
( top != join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top))
| top = converse(join(composition(X_4,top),composition(top,complement(X_4)))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top)),converse(join(composition(X_4,top),composition(top,complement(X_4))))) )],[refute_0_1864,refute_0_1865]) ).
cnf(refute_0_1867,plain,
top = converse(join(composition(X_4,top),composition(top,complement(X_4)))),
inference(resolve,[$cnf( $equal(top,join(converse(composition(X_4,top)),composition(complement(converse(X_4)),top))) )],[refute_0_1845,refute_0_1866]) ).
cnf(refute_0_1868,plain,
top = converse(join(composition(X_302,top),composition(top,complement(X_302)))),
inference(subst,[],[refute_0_1867:[bind(X_4,$fot(X_302))]]) ).
cnf(refute_0_1869,plain,
( top != converse(join(composition(X_302,top),composition(top,complement(X_302))))
| converse(join(composition(X_302,top),composition(top,complement(X_302)))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(converse(join(composition(X_302,top),composition(top,complement(X_302))))))]]) ).
cnf(refute_0_1870,plain,
converse(join(composition(X_302,top),composition(top,complement(X_302)))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(composition(X_302,top),composition(top,complement(X_302))))) )],[refute_0_1868,refute_0_1869]) ).
cnf(refute_0_1871,plain,
( converse(converse(join(composition(X_302,top),composition(top,complement(X_302))))) != join(composition(X_302,top),composition(top,complement(X_302)))
| converse(join(composition(X_302,top),composition(top,complement(X_302)))) != top
| converse(top) = join(composition(X_302,top),composition(top,complement(X_302))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(composition(X_302,top),composition(top,complement(X_302))))),join(composition(X_302,top),composition(top,complement(X_302)))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_1872,plain,
( converse(converse(join(composition(X_302,top),composition(top,complement(X_302))))) != join(composition(X_302,top),composition(top,complement(X_302)))
| converse(top) = join(composition(X_302,top),composition(top,complement(X_302))) ),
inference(resolve,[$cnf( $equal(converse(join(composition(X_302,top),composition(top,complement(X_302)))),top) )],[refute_0_1870,refute_0_1871]) ).
cnf(refute_0_1873,plain,
converse(top) = join(composition(X_302,top),composition(top,complement(X_302))),
inference(resolve,[$cnf( $equal(converse(converse(join(composition(X_302,top),composition(top,complement(X_302))))),join(composition(X_302,top),composition(top,complement(X_302)))) )],[refute_0_1833,refute_0_1872]) ).
cnf(refute_0_1874,plain,
( converse(top) != join(composition(X_302,top),composition(top,complement(X_302)))
| converse(top) != top
| top = join(composition(X_302,top),composition(top,complement(X_302))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(composition(X_302,top),composition(top,complement(X_302)))) ),[0],$fot(top)]]) ).
cnf(refute_0_1875,plain,
( converse(top) != join(composition(X_302,top),composition(top,complement(X_302)))
| top = join(composition(X_302,top),composition(top,complement(X_302))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_719,refute_0_1874]) ).
cnf(refute_0_1876,plain,
top = join(composition(X_302,top),composition(top,complement(X_302))),
inference(resolve,[$cnf( $equal(converse(top),join(composition(X_302,top),composition(top,complement(X_302)))) )],[refute_0_1873,refute_0_1875]) ).
cnf(refute_0_1877,plain,
( top != join(composition(X_302,top),composition(top,complement(X_302)))
| join(composition(X_302,top),composition(top,complement(X_302))) = top ),
inference(subst,[],[refute_0_6:[bind(X,$fot(top)),bind(Y,$fot(join(composition(X_302,top),composition(top,complement(X_302)))))]]) ).
cnf(refute_0_1878,plain,
join(composition(X_302,top),composition(top,complement(X_302))) = top,
inference(resolve,[$cnf( $equal(top,join(composition(X_302,top),composition(top,complement(X_302)))) )],[refute_0_1876,refute_0_1877]) ).
cnf(refute_0_1879,plain,
( join(composition(X_302,top),composition(top,complement(X_302))) != top
| meet(complement(composition(X_302,top)),join(composition(X_302,top),composition(top,complement(X_302)))) != meet(composition(top,complement(X_302)),complement(composition(X_302,top)))
| meet(complement(composition(X_302,top)),top) = meet(composition(top,complement(X_302)),complement(composition(X_302,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(X_302,top)),join(composition(X_302,top),composition(top,complement(X_302)))),meet(composition(top,complement(X_302)),complement(composition(X_302,top)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_1880,plain,
( meet(complement(composition(X_302,top)),join(composition(X_302,top),composition(top,complement(X_302)))) != meet(composition(top,complement(X_302)),complement(composition(X_302,top)))
| meet(complement(composition(X_302,top)),top) = meet(composition(top,complement(X_302)),complement(composition(X_302,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_302,top),composition(top,complement(X_302))),top) )],[refute_0_1878,refute_0_1879]) ).
cnf(refute_0_1881,plain,
meet(complement(composition(X_302,top)),top) = meet(composition(top,complement(X_302)),complement(composition(X_302,top))),
inference(resolve,[$cnf( $equal(meet(complement(composition(X_302,top)),join(composition(X_302,top),composition(top,complement(X_302)))),meet(composition(top,complement(X_302)),complement(composition(X_302,top)))) )],[refute_0_1832,refute_0_1880]) ).
cnf(refute_0_1882,plain,
meet(top,complement(composition(X_302,top))) = complement(composition(X_302,top)),
inference(subst,[],[refute_0_357:[bind(X1,$fot(complement(composition(X_302,top))))]]) ).
cnf(refute_0_1883,plain,
meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(complement(X_550),meet(meet(X_70,X_550),join(X_70,complement(X_550))))) = meet(meet(X_70,X_550),join(X_70,complement(X_550))),
inference(subst,[],[refute_0_402:[bind(X_217,$fot(X_550)),bind(X_218,$fot(meet(meet(X_70,X_550),join(X_70,complement(X_550)))))]]) ).
cnf(refute_0_1884,plain,
join(X_70,complement(X_550)) = join(complement(X_550),meet(meet(X_70,X_550),join(X_70,complement(X_550)))),
inference(subst,[],[refute_0_1563:[bind(X_69,$fot(X_550))]]) ).
cnf(refute_0_1885,plain,
( join(X_70,complement(X_550)) != join(complement(X_550),meet(meet(X_70,X_550),join(X_70,complement(X_550))))
| join(complement(X_550),meet(meet(X_70,X_550),join(X_70,complement(X_550)))) = join(X_70,complement(X_550)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_70,complement(X_550)))),bind(Y,$fot(join(complement(X_550),meet(meet(X_70,X_550),join(X_70,complement(X_550))))))]]) ).
cnf(refute_0_1886,plain,
join(complement(X_550),meet(meet(X_70,X_550),join(X_70,complement(X_550)))) = join(X_70,complement(X_550)),
inference(resolve,[$cnf( $equal(join(X_70,complement(X_550)),join(complement(X_550),meet(meet(X_70,X_550),join(X_70,complement(X_550))))) )],[refute_0_1884,refute_0_1885]) ).
cnf(refute_0_1887,plain,
( join(complement(X_550),meet(meet(X_70,X_550),join(X_70,complement(X_550)))) != join(X_70,complement(X_550))
| meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(complement(X_550),meet(meet(X_70,X_550),join(X_70,complement(X_550))))) != meet(meet(X_70,X_550),join(X_70,complement(X_550)))
| meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(X_70,complement(X_550))) = meet(meet(X_70,X_550),join(X_70,complement(X_550))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(complement(X_550),meet(meet(X_70,X_550),join(X_70,complement(X_550))))),meet(meet(X_70,X_550),join(X_70,complement(X_550)))) ),[0,1],$fot(join(X_70,complement(X_550)))]]) ).
cnf(refute_0_1888,plain,
( meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(complement(X_550),meet(meet(X_70,X_550),join(X_70,complement(X_550))))) != meet(meet(X_70,X_550),join(X_70,complement(X_550)))
| meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(X_70,complement(X_550))) = meet(meet(X_70,X_550),join(X_70,complement(X_550))) ),
inference(resolve,[$cnf( $equal(join(complement(X_550),meet(meet(X_70,X_550),join(X_70,complement(X_550)))),join(X_70,complement(X_550))) )],[refute_0_1886,refute_0_1887]) ).
cnf(refute_0_1889,plain,
meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(X_70,complement(X_550))) = meet(meet(X_70,X_550),join(X_70,complement(X_550))),
inference(resolve,[$cnf( $equal(meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(complement(X_550),meet(meet(X_70,X_550),join(X_70,complement(X_550))))),meet(meet(X_70,X_550),join(X_70,complement(X_550)))) )],[refute_0_1883,refute_0_1888]) ).
cnf(refute_0_1890,plain,
meet(join(meet(X_39,X1),meet(X_39,complement(X1))),join(meet(X_39,X1),complement(meet(X_39,complement(X1))))) = meet(X_39,X1),
inference(subst,[],[refute_0_395:[bind(X_166,$fot(meet(X_39,complement(X1)))),bind(X_39,$fot(meet(X_39,X1)))]]) ).
cnf(refute_0_1891,plain,
( join(meet(X_39,X1),meet(X_39,complement(X1))) != X_39
| meet(join(meet(X_39,X1),meet(X_39,complement(X1))),join(meet(X_39,X1),complement(meet(X_39,complement(X1))))) != meet(X_39,X1)
| meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1))))) = meet(X_39,X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_39,X1),meet(X_39,complement(X1))),join(meet(X_39,X1),complement(meet(X_39,complement(X1))))),meet(X_39,X1)) ),[0,0],$fot(X_39)]]) ).
cnf(refute_0_1892,plain,
( meet(join(meet(X_39,X1),meet(X_39,complement(X1))),join(meet(X_39,X1),complement(meet(X_39,complement(X1))))) != meet(X_39,X1)
| meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1))))) = meet(X_39,X1) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,X1),meet(X_39,complement(X1))),X_39) )],[refute_0_1618,refute_0_1891]) ).
cnf(refute_0_1893,plain,
meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1))))) = meet(X_39,X1),
inference(resolve,[$cnf( $equal(meet(join(meet(X_39,X1),meet(X_39,complement(X1))),join(meet(X_39,X1),complement(meet(X_39,complement(X1))))),meet(X_39,X1)) )],[refute_0_1890,refute_0_1892]) ).
cnf(refute_0_1894,plain,
join(X1,join(X1,complement(X_39))) = join(X1,complement(X_39)),
inference(subst,[],[refute_0_1061:[bind(X_81,$fot(X1)),bind(X_82,$fot(complement(X_39)))]]) ).
cnf(refute_0_1895,plain,
join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))) = join(X_81,join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295))))),
inference(subst,[],[refute_0_414:[bind(X_80,$fot(complement(X_295))),bind(X_82,$fot(meet(meet(X_295,X_296),join(X_296,complement(X_295)))))]]) ).
cnf(refute_0_1896,plain,
join(X_40,complement(X_39)) = join(complement(X_39),X_40),
inference(subst,[],[refute_0_13:[bind(X0,$fot(X_40)),bind(X1,$fot(complement(X_39)))]]) ).
cnf(refute_0_1897,plain,
( join(X_40,complement(X_39)) != join(complement(X_39),X_40)
| join(complement(X_39),X_40) = join(X_40,complement(X_39)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_40,complement(X_39)))),bind(Y,$fot(join(complement(X_39),X_40)))]]) ).
cnf(refute_0_1898,plain,
join(complement(X_39),X_40) = join(X_40,complement(X_39)),
inference(resolve,[$cnf( $equal(join(X_40,complement(X_39)),join(complement(X_39),X_40)) )],[refute_0_1896,refute_0_1897]) ).
cnf(refute_0_1899,plain,
( X_39 != join(meet(X_39,X_40),complement(join(complement(X_39),X_40)))
| join(complement(X_39),X_40) != join(X_40,complement(X_39))
| X_39 = join(meet(X_39,X_40),complement(join(X_40,complement(X_39)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_39,join(meet(X_39,X_40),complement(join(complement(X_39),X_40)))) ),[1,1,0],$fot(join(X_40,complement(X_39)))]]) ).
cnf(refute_0_1900,plain,
( X_39 != join(meet(X_39,X_40),complement(join(complement(X_39),X_40)))
| X_39 = join(meet(X_39,X_40),complement(join(X_40,complement(X_39)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),X_40),join(X_40,complement(X_39))) )],[refute_0_1898,refute_0_1899]) ).
cnf(refute_0_1901,plain,
X_39 = join(meet(X_39,X_40),complement(join(X_40,complement(X_39)))),
inference(resolve,[$cnf( $equal(X_39,join(meet(X_39,X_40),complement(join(complement(X_39),X_40)))) )],[refute_0_769,refute_0_1900]) ).
cnf(refute_0_1902,plain,
join(X_128,complement(X_127)) = join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(join(meet(X_127,X_128),complement(join(X_128,complement(X_127)))))),
inference(subst,[],[refute_0_1901:[bind(X_39,$fot(join(X_128,complement(X_127)))),bind(X_40,$fot(meet(X_127,X_128)))]]) ).
cnf(refute_0_1903,plain,
X_127 = join(meet(X_127,X_128),complement(join(X_128,complement(X_127)))),
inference(subst,[],[refute_0_1901:[bind(X_39,$fot(X_127)),bind(X_40,$fot(X_128))]]) ).
cnf(refute_0_1904,plain,
( X_127 != join(meet(X_127,X_128),complement(join(X_128,complement(X_127))))
| join(meet(X_127,X_128),complement(join(X_128,complement(X_127)))) = X_127 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_127)),bind(Y,$fot(join(meet(X_127,X_128),complement(join(X_128,complement(X_127))))))]]) ).
cnf(refute_0_1905,plain,
join(meet(X_127,X_128),complement(join(X_128,complement(X_127)))) = X_127,
inference(resolve,[$cnf( $equal(X_127,join(meet(X_127,X_128),complement(join(X_128,complement(X_127))))) )],[refute_0_1903,refute_0_1904]) ).
cnf(refute_0_1906,plain,
( join(X_128,complement(X_127)) != join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(join(meet(X_127,X_128),complement(join(X_128,complement(X_127))))))
| join(meet(X_127,X_128),complement(join(X_128,complement(X_127)))) != X_127
| join(X_128,complement(X_127)) = join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(X_127)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_128,complement(X_127)),join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(join(meet(X_127,X_128),complement(join(X_128,complement(X_127))))))) ),[1,1,0],$fot(X_127)]]) ).
cnf(refute_0_1907,plain,
( join(X_128,complement(X_127)) != join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(join(meet(X_127,X_128),complement(join(X_128,complement(X_127))))))
| join(X_128,complement(X_127)) = join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(X_127)) ),
inference(resolve,[$cnf( $equal(join(meet(X_127,X_128),complement(join(X_128,complement(X_127)))),X_127) )],[refute_0_1905,refute_0_1906]) ).
cnf(refute_0_1908,plain,
join(X_128,complement(X_127)) = join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(X_127)),
inference(resolve,[$cnf( $equal(join(X_128,complement(X_127)),join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(join(meet(X_127,X_128),complement(join(X_128,complement(X_127))))))) )],[refute_0_1902,refute_0_1907]) ).
cnf(refute_0_1909,plain,
meet(join(X_128,complement(X_127)),meet(X_127,X_128)) = meet(meet(X_127,X_128),join(X_128,complement(X_127))),
inference(subst,[],[refute_0_191:[bind(X_10,$fot(meet(X_127,X_128))),bind(X_11,$fot(join(X_128,complement(X_127))))]]) ).
cnf(refute_0_1910,plain,
join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128))) = join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128))),
introduced(tautology,[refl,[$fot(join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128))))]]) ).
cnf(refute_0_1911,plain,
( join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128))) != join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128)))
| meet(join(X_128,complement(X_127)),meet(X_127,X_128)) != meet(meet(X_127,X_128),join(X_128,complement(X_127)))
| join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128))) = join(complement(X_127),meet(meet(X_127,X_128),join(X_128,complement(X_127)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128))),join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128)))) ),[1,1],$fot(meet(meet(X_127,X_128),join(X_128,complement(X_127))))]]) ).
cnf(refute_0_1912,plain,
( meet(join(X_128,complement(X_127)),meet(X_127,X_128)) != meet(meet(X_127,X_128),join(X_128,complement(X_127)))
| join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128))) = join(complement(X_127),meet(meet(X_127,X_128),join(X_128,complement(X_127)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128))),join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128)))) )],[refute_0_1910,refute_0_1911]) ).
cnf(refute_0_1913,plain,
join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128))) = join(complement(X_127),meet(meet(X_127,X_128),join(X_128,complement(X_127)))),
inference(resolve,[$cnf( $equal(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),meet(meet(X_127,X_128),join(X_128,complement(X_127)))) )],[refute_0_1909,refute_0_1912]) ).
cnf(refute_0_1914,plain,
join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(X_127)) = join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(X_127))),bind(X1,$fot(meet(join(X_128,complement(X_127)),meet(X_127,X_128))))]]) ).
cnf(refute_0_1915,plain,
( join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128))) != join(complement(X_127),meet(meet(X_127,X_128),join(X_128,complement(X_127))))
| join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(X_127)) != join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128)))
| join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(X_127)) = join(complement(X_127),meet(meet(X_127,X_128),join(X_128,complement(X_127)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(X_127)))),bind(Y,$fot(join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128))))),bind(Z,$fot(join(complement(X_127),meet(meet(X_127,X_128),join(X_128,complement(X_127))))))]]) ).
cnf(refute_0_1916,plain,
( join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128))) != join(complement(X_127),meet(meet(X_127,X_128),join(X_128,complement(X_127))))
| join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(X_127)) = join(complement(X_127),meet(meet(X_127,X_128),join(X_128,complement(X_127)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(X_127)),join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128)))) )],[refute_0_1914,refute_0_1915]) ).
cnf(refute_0_1917,plain,
join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(X_127)) = join(complement(X_127),meet(meet(X_127,X_128),join(X_128,complement(X_127)))),
inference(resolve,[$cnf( $equal(join(complement(X_127),meet(join(X_128,complement(X_127)),meet(X_127,X_128))),join(complement(X_127),meet(meet(X_127,X_128),join(X_128,complement(X_127))))) )],[refute_0_1913,refute_0_1916]) ).
cnf(refute_0_1918,plain,
( join(X_128,complement(X_127)) != join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(X_127))
| join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(X_127)) != join(complement(X_127),meet(meet(X_127,X_128),join(X_128,complement(X_127))))
| join(X_128,complement(X_127)) = join(complement(X_127),meet(meet(X_127,X_128),join(X_128,complement(X_127)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_128,complement(X_127)),join(complement(X_127),meet(meet(X_127,X_128),join(X_128,complement(X_127))))) ),[0],$fot(join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(X_127)))]]) ).
cnf(refute_0_1919,plain,
( join(X_128,complement(X_127)) != join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(X_127))
| join(X_128,complement(X_127)) = join(complement(X_127),meet(meet(X_127,X_128),join(X_128,complement(X_127)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(X_127)),join(complement(X_127),meet(meet(X_127,X_128),join(X_128,complement(X_127))))) )],[refute_0_1917,refute_0_1918]) ).
cnf(refute_0_1920,plain,
join(X_128,complement(X_127)) = join(complement(X_127),meet(meet(X_127,X_128),join(X_128,complement(X_127)))),
inference(resolve,[$cnf( $equal(join(X_128,complement(X_127)),join(meet(join(X_128,complement(X_127)),meet(X_127,X_128)),complement(X_127))) )],[refute_0_1908,refute_0_1919]) ).
cnf(refute_0_1921,plain,
join(X_296,complement(X_295)) = join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295)))),
inference(subst,[],[refute_0_1920:[bind(X_127,$fot(X_295)),bind(X_128,$fot(X_296))]]) ).
cnf(refute_0_1922,plain,
( join(X_296,complement(X_295)) != join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295))))
| join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295)))) = join(X_296,complement(X_295)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_296,complement(X_295)))),bind(Y,$fot(join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295))))))]]) ).
cnf(refute_0_1923,plain,
join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295)))) = join(X_296,complement(X_295)),
inference(resolve,[$cnf( $equal(join(X_296,complement(X_295)),join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295))))) )],[refute_0_1921,refute_0_1922]) ).
cnf(refute_0_1924,plain,
( join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))) != join(X_81,join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295)))))
| join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295)))) != join(X_296,complement(X_295))
| join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))) = join(X_81,join(X_296,complement(X_295))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))),join(X_81,join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295)))))) ),[1,1],$fot(join(X_296,complement(X_295)))]]) ).
cnf(refute_0_1925,plain,
( join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))) != join(X_81,join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295)))))
| join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))) = join(X_81,join(X_296,complement(X_295))) ),
inference(resolve,[$cnf( $equal(join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295)))),join(X_296,complement(X_295))) )],[refute_0_1923,refute_0_1924]) ).
cnf(refute_0_1926,plain,
join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))) = join(X_81,join(X_296,complement(X_295))),
inference(resolve,[$cnf( $equal(join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))),join(X_81,join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295)))))) )],[refute_0_1895,refute_0_1925]) ).
cnf(refute_0_1927,plain,
meet(X_297,X_298) = meet(meet(X_297,X_298),join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),X_299))),
inference(subst,[],[refute_0_878:[bind(X_39,$fot(meet(X_297,X_298))),bind(X_94,$fot(join(meet(X_298,complement(X_297)),X_299)))]]) ).
cnf(refute_0_1928,plain,
join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),X_299)) = join(X_298,X_299),
inference(subst,[],[refute_0_1492:[bind(X_47,$fot(X_297)),bind(X_48,$fot(X_298)),bind(X_82,$fot(X_299))]]) ).
cnf(refute_0_1929,plain,
( join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),X_299)) != join(X_298,X_299)
| meet(X_297,X_298) != meet(meet(X_297,X_298),join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),X_299)))
| meet(X_297,X_298) = meet(meet(X_297,X_298),join(X_298,X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_297,X_298),meet(meet(X_297,X_298),join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),X_299)))) ),[1,1],$fot(join(X_298,X_299))]]) ).
cnf(refute_0_1930,plain,
( meet(X_297,X_298) != meet(meet(X_297,X_298),join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),X_299)))
| meet(X_297,X_298) = meet(meet(X_297,X_298),join(X_298,X_299)) ),
inference(resolve,[$cnf( $equal(join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),X_299)),join(X_298,X_299)) )],[refute_0_1928,refute_0_1929]) ).
cnf(refute_0_1931,plain,
meet(X_297,X_298) = meet(meet(X_297,X_298),join(X_298,X_299)),
inference(resolve,[$cnf( $equal(meet(X_297,X_298),meet(meet(X_297,X_298),join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),X_299)))) )],[refute_0_1927,refute_0_1930]) ).
cnf(refute_0_1932,plain,
( meet(X_297,X_298) != meet(meet(X_297,X_298),join(X_298,X_299))
| meet(meet(X_297,X_298),join(X_298,X_299)) = meet(X_297,X_298) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_297,X_298))),bind(Y,$fot(meet(meet(X_297,X_298),join(X_298,X_299))))]]) ).
cnf(refute_0_1933,plain,
meet(meet(X_297,X_298),join(X_298,X_299)) = meet(X_297,X_298),
inference(resolve,[$cnf( $equal(meet(X_297,X_298),meet(meet(X_297,X_298),join(X_298,X_299))) )],[refute_0_1931,refute_0_1932]) ).
cnf(refute_0_1934,plain,
meet(meet(X_295,X_296),join(X_296,complement(X_295))) = meet(X_295,X_296),
inference(subst,[],[refute_0_1933:[bind(X_297,$fot(X_295)),bind(X_298,$fot(X_296)),bind(X_299,$fot(complement(X_295)))]]) ).
cnf(refute_0_1935,plain,
join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295)))) = join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295)))),
introduced(tautology,[refl,[$fot(join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295)))))]]) ).
cnf(refute_0_1936,plain,
( join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295)))) != join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))
| meet(meet(X_295,X_296),join(X_296,complement(X_295))) != meet(X_295,X_296)
| join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295)))) = join(X_81,meet(X_295,X_296)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295)))),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))) ),[1,1],$fot(meet(X_295,X_296))]]) ).
cnf(refute_0_1937,plain,
( meet(meet(X_295,X_296),join(X_296,complement(X_295))) != meet(X_295,X_296)
| join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295)))) = join(X_81,meet(X_295,X_296)) ),
inference(resolve,[$cnf( $equal(join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295)))),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))) )],[refute_0_1935,refute_0_1936]) ).
cnf(refute_0_1938,plain,
join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295)))) = join(X_81,meet(X_295,X_296)),
inference(resolve,[$cnf( $equal(meet(meet(X_295,X_296),join(X_296,complement(X_295))),meet(X_295,X_296)) )],[refute_0_1934,refute_0_1937]) ).
cnf(refute_0_1939,plain,
join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))) = join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))),
introduced(tautology,[refl,[$fot(join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))))]]) ).
cnf(refute_0_1940,plain,
( join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295)))) != join(X_81,meet(X_295,X_296))
| join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))) != join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295)))))
| join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))) = join(complement(X_295),join(X_81,meet(X_295,X_296))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))),join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295)))))) ),[1,1],$fot(join(X_81,meet(X_295,X_296)))]]) ).
cnf(refute_0_1941,plain,
( join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295)))) != join(X_81,meet(X_295,X_296))
| join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))) = join(complement(X_295),join(X_81,meet(X_295,X_296))) ),
inference(resolve,[$cnf( $equal(join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))),join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295)))))) )],[refute_0_1939,refute_0_1940]) ).
cnf(refute_0_1942,plain,
join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))) = join(complement(X_295),join(X_81,meet(X_295,X_296))),
inference(resolve,[$cnf( $equal(join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295)))),join(X_81,meet(X_295,X_296))) )],[refute_0_1938,refute_0_1941]) ).
cnf(refute_0_1943,plain,
( join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))) != join(X_81,join(X_296,complement(X_295)))
| join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))) != join(complement(X_295),join(X_81,meet(X_295,X_296)))
| join(complement(X_295),join(X_81,meet(X_295,X_296))) = join(X_81,join(X_296,complement(X_295))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))),join(X_81,join(X_296,complement(X_295)))) ),[0],$fot(join(complement(X_295),join(X_81,meet(X_295,X_296))))]]) ).
cnf(refute_0_1944,plain,
( join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))) != join(X_81,join(X_296,complement(X_295)))
| join(complement(X_295),join(X_81,meet(X_295,X_296))) = join(X_81,join(X_296,complement(X_295))) ),
inference(resolve,[$cnf( $equal(join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))),join(complement(X_295),join(X_81,meet(X_295,X_296)))) )],[refute_0_1942,refute_0_1943]) ).
cnf(refute_0_1945,plain,
join(complement(X_295),join(X_81,meet(X_295,X_296))) = join(X_81,join(X_296,complement(X_295))),
inference(resolve,[$cnf( $equal(join(complement(X_295),join(X_81,meet(meet(X_295,X_296),join(X_296,complement(X_295))))),join(X_81,join(X_296,complement(X_295)))) )],[refute_0_1926,refute_0_1944]) ).
cnf(refute_0_1946,plain,
join(complement(X_39),join(X1,meet(X_39,X1))) = join(X1,join(X1,complement(X_39))),
inference(subst,[],[refute_0_1945:[bind(X_295,$fot(X_39)),bind(X_296,$fot(X1)),bind(X_81,$fot(X1))]]) ).
cnf(refute_0_1947,plain,
( join(X1,join(X1,complement(X_39))) != join(X1,complement(X_39))
| join(complement(X_39),join(X1,meet(X_39,X1))) != join(X1,join(X1,complement(X_39)))
| join(complement(X_39),join(X1,meet(X_39,X1))) = join(X1,complement(X_39)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_39),join(X1,meet(X_39,X1))))),bind(Y,$fot(join(X1,join(X1,complement(X_39))))),bind(Z,$fot(join(X1,complement(X_39))))]]) ).
cnf(refute_0_1948,plain,
( join(X1,join(X1,complement(X_39))) != join(X1,complement(X_39))
| join(complement(X_39),join(X1,meet(X_39,X1))) = join(X1,complement(X_39)) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),join(X1,meet(X_39,X1))),join(X1,join(X1,complement(X_39)))) )],[refute_0_1946,refute_0_1947]) ).
cnf(refute_0_1949,plain,
join(complement(X_39),join(X1,meet(X_39,X1))) = join(X1,complement(X_39)),
inference(resolve,[$cnf( $equal(join(X1,join(X1,complement(X_39))),join(X1,complement(X_39))) )],[refute_0_1894,refute_0_1948]) ).
cnf(refute_0_1950,plain,
join(X0,join(complement(join(X_305,X0)),X2)) = join(join(X0,complement(join(X_305,X0))),X2),
inference(subst,[],[refute_0_260:[bind(X1,$fot(complement(join(X_305,X0))))]]) ).
cnf(refute_0_1951,plain,
join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),meet(complement(X_297),complement(X_298)))) = join(X_298,meet(complement(X_297),complement(X_298))),
inference(subst,[],[refute_0_1492:[bind(X_47,$fot(X_297)),bind(X_48,$fot(X_298)),bind(X_82,$fot(meet(complement(X_297),complement(X_298))))]]) ).
cnf(refute_0_1952,plain,
complement(X_297) = join(meet(X_298,complement(X_297)),meet(complement(X_297),complement(X_298))),
inference(subst,[],[refute_0_1487:[bind(X_47,$fot(X_298)),bind(X_48,$fot(complement(X_297)))]]) ).
cnf(refute_0_1953,plain,
( complement(X_297) != join(meet(X_298,complement(X_297)),meet(complement(X_297),complement(X_298)))
| join(meet(X_298,complement(X_297)),meet(complement(X_297),complement(X_298))) = complement(X_297) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(X_297))),bind(Y,$fot(join(meet(X_298,complement(X_297)),meet(complement(X_297),complement(X_298)))))]]) ).
cnf(refute_0_1954,plain,
join(meet(X_298,complement(X_297)),meet(complement(X_297),complement(X_298))) = complement(X_297),
inference(resolve,[$cnf( $equal(complement(X_297),join(meet(X_298,complement(X_297)),meet(complement(X_297),complement(X_298)))) )],[refute_0_1952,refute_0_1953]) ).
cnf(refute_0_1955,plain,
( join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),meet(complement(X_297),complement(X_298)))) != join(X_298,meet(complement(X_297),complement(X_298)))
| join(meet(X_298,complement(X_297)),meet(complement(X_297),complement(X_298))) != complement(X_297)
| join(meet(X_297,X_298),complement(X_297)) = join(X_298,meet(complement(X_297),complement(X_298))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),meet(complement(X_297),complement(X_298)))),join(X_298,meet(complement(X_297),complement(X_298)))) ),[0,1],$fot(complement(X_297))]]) ).
cnf(refute_0_1956,plain,
( join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),meet(complement(X_297),complement(X_298)))) != join(X_298,meet(complement(X_297),complement(X_298)))
| join(meet(X_297,X_298),complement(X_297)) = join(X_298,meet(complement(X_297),complement(X_298))) ),
inference(resolve,[$cnf( $equal(join(meet(X_298,complement(X_297)),meet(complement(X_297),complement(X_298))),complement(X_297)) )],[refute_0_1954,refute_0_1955]) ).
cnf(refute_0_1957,plain,
join(meet(X_297,X_298),complement(X_297)) = join(X_298,meet(complement(X_297),complement(X_298))),
inference(resolve,[$cnf( $equal(join(meet(X_297,X_298),join(meet(X_298,complement(X_297)),meet(complement(X_297),complement(X_298)))),join(X_298,meet(complement(X_297),complement(X_298)))) )],[refute_0_1951,refute_0_1956]) ).
cnf(refute_0_1958,plain,
join(complement(X_297),meet(X_297,X_298)) = join(complement(X_297),X_298),
inference(subst,[],[refute_0_1158:[bind(X_117,$fot(X_298)),bind(X_72,$fot(X_297))]]) ).
cnf(refute_0_1959,plain,
join(meet(X_297,X_298),complement(X_297)) = join(complement(X_297),meet(X_297,X_298)),
inference(subst,[],[refute_0_1790:[bind(X0,$fot(complement(X_297))),bind(X_80,$fot(meet(X_297,X_298)))]]) ).
cnf(refute_0_1960,plain,
( join(complement(X_297),meet(X_297,X_298)) != join(complement(X_297),X_298)
| join(meet(X_297,X_298),complement(X_297)) != join(complement(X_297),meet(X_297,X_298))
| join(meet(X_297,X_298),complement(X_297)) = join(complement(X_297),X_298) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_297,X_298),complement(X_297)))),bind(Y,$fot(join(complement(X_297),meet(X_297,X_298)))),bind(Z,$fot(join(complement(X_297),X_298)))]]) ).
cnf(refute_0_1961,plain,
( join(complement(X_297),meet(X_297,X_298)) != join(complement(X_297),X_298)
| join(meet(X_297,X_298),complement(X_297)) = join(complement(X_297),X_298) ),
inference(resolve,[$cnf( $equal(join(meet(X_297,X_298),complement(X_297)),join(complement(X_297),meet(X_297,X_298))) )],[refute_0_1959,refute_0_1960]) ).
cnf(refute_0_1962,plain,
join(meet(X_297,X_298),complement(X_297)) = join(complement(X_297),X_298),
inference(resolve,[$cnf( $equal(join(complement(X_297),meet(X_297,X_298)),join(complement(X_297),X_298)) )],[refute_0_1958,refute_0_1961]) ).
cnf(refute_0_1963,plain,
( join(meet(X_297,X_298),complement(X_297)) != join(X_298,meet(complement(X_297),complement(X_298)))
| join(meet(X_297,X_298),complement(X_297)) != join(complement(X_297),X_298)
| join(complement(X_297),X_298) = join(X_298,meet(complement(X_297),complement(X_298))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_297,X_298),complement(X_297)),join(X_298,meet(complement(X_297),complement(X_298)))) ),[0],$fot(join(complement(X_297),X_298))]]) ).
cnf(refute_0_1964,plain,
( join(meet(X_297,X_298),complement(X_297)) != join(X_298,meet(complement(X_297),complement(X_298)))
| join(complement(X_297),X_298) = join(X_298,meet(complement(X_297),complement(X_298))) ),
inference(resolve,[$cnf( $equal(join(meet(X_297,X_298),complement(X_297)),join(complement(X_297),X_298)) )],[refute_0_1962,refute_0_1963]) ).
cnf(refute_0_1965,plain,
meet(complement(X_297),complement(X_298)) = complement(join(X_297,X_298)),
inference(subst,[],[refute_0_1501:[bind(X_139,$fot(X_297)),bind(X_39,$fot(X_298))]]) ).
cnf(refute_0_1966,plain,
join(X_298,meet(complement(X_297),complement(X_298))) = join(X_298,meet(complement(X_297),complement(X_298))),
introduced(tautology,[refl,[$fot(join(X_298,meet(complement(X_297),complement(X_298))))]]) ).
cnf(refute_0_1967,plain,
( join(X_298,meet(complement(X_297),complement(X_298))) != join(X_298,meet(complement(X_297),complement(X_298)))
| meet(complement(X_297),complement(X_298)) != complement(join(X_297,X_298))
| join(X_298,meet(complement(X_297),complement(X_298))) = join(X_298,complement(join(X_297,X_298))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_298,meet(complement(X_297),complement(X_298))),join(X_298,meet(complement(X_297),complement(X_298)))) ),[1,1],$fot(complement(join(X_297,X_298)))]]) ).
cnf(refute_0_1968,plain,
( meet(complement(X_297),complement(X_298)) != complement(join(X_297,X_298))
| join(X_298,meet(complement(X_297),complement(X_298))) = join(X_298,complement(join(X_297,X_298))) ),
inference(resolve,[$cnf( $equal(join(X_298,meet(complement(X_297),complement(X_298))),join(X_298,meet(complement(X_297),complement(X_298)))) )],[refute_0_1966,refute_0_1967]) ).
cnf(refute_0_1969,plain,
join(X_298,meet(complement(X_297),complement(X_298))) = join(X_298,complement(join(X_297,X_298))),
inference(resolve,[$cnf( $equal(meet(complement(X_297),complement(X_298)),complement(join(X_297,X_298))) )],[refute_0_1965,refute_0_1968]) ).
cnf(refute_0_1970,plain,
( join(X_298,meet(complement(X_297),complement(X_298))) != join(X_298,complement(join(X_297,X_298)))
| join(complement(X_297),X_298) != join(X_298,meet(complement(X_297),complement(X_298)))
| join(complement(X_297),X_298) = join(X_298,complement(join(X_297,X_298))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_297),X_298),join(X_298,meet(complement(X_297),complement(X_298)))) ),[1],$fot(join(X_298,complement(join(X_297,X_298))))]]) ).
cnf(refute_0_1971,plain,
( join(complement(X_297),X_298) != join(X_298,meet(complement(X_297),complement(X_298)))
| join(complement(X_297),X_298) = join(X_298,complement(join(X_297,X_298))) ),
inference(resolve,[$cnf( $equal(join(X_298,meet(complement(X_297),complement(X_298))),join(X_298,complement(join(X_297,X_298)))) )],[refute_0_1969,refute_0_1970]) ).
cnf(refute_0_1972,plain,
( join(meet(X_297,X_298),complement(X_297)) != join(X_298,meet(complement(X_297),complement(X_298)))
| join(complement(X_297),X_298) = join(X_298,complement(join(X_297,X_298))) ),
inference(resolve,[$cnf( $equal(join(complement(X_297),X_298),join(X_298,meet(complement(X_297),complement(X_298)))) )],[refute_0_1964,refute_0_1971]) ).
cnf(refute_0_1973,plain,
join(complement(X_297),X_298) = join(X_298,complement(join(X_297,X_298))),
inference(resolve,[$cnf( $equal(join(meet(X_297,X_298),complement(X_297)),join(X_298,meet(complement(X_297),complement(X_298)))) )],[refute_0_1957,refute_0_1972]) ).
cnf(refute_0_1974,plain,
join(complement(X_305),X0) = join(X0,complement(join(X_305,X0))),
inference(subst,[],[refute_0_1973:[bind(X_297,$fot(X_305)),bind(X_298,$fot(X0))]]) ).
cnf(refute_0_1975,plain,
( join(complement(X_305),X0) != join(X0,complement(join(X_305,X0)))
| join(X0,complement(join(X_305,X0))) = join(complement(X_305),X0) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(complement(X_305),X0))),bind(Y,$fot(join(X0,complement(join(X_305,X0)))))]]) ).
cnf(refute_0_1976,plain,
join(X0,complement(join(X_305,X0))) = join(complement(X_305),X0),
inference(resolve,[$cnf( $equal(join(complement(X_305),X0),join(X0,complement(join(X_305,X0)))) )],[refute_0_1974,refute_0_1975]) ).
cnf(refute_0_1977,plain,
( join(X0,complement(join(X_305,X0))) != join(complement(X_305),X0)
| join(X0,join(complement(join(X_305,X0)),X2)) != join(join(X0,complement(join(X_305,X0))),X2)
| join(X0,join(complement(join(X_305,X0)),X2)) = join(join(complement(X_305),X0),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(complement(join(X_305,X0)),X2)),join(join(X0,complement(join(X_305,X0))),X2)) ),[1,0],$fot(join(complement(X_305),X0))]]) ).
cnf(refute_0_1978,plain,
( join(X0,join(complement(join(X_305,X0)),X2)) != join(join(X0,complement(join(X_305,X0))),X2)
| join(X0,join(complement(join(X_305,X0)),X2)) = join(join(complement(X_305),X0),X2) ),
inference(resolve,[$cnf( $equal(join(X0,complement(join(X_305,X0))),join(complement(X_305),X0)) )],[refute_0_1976,refute_0_1977]) ).
cnf(refute_0_1979,plain,
join(X0,join(complement(join(X_305,X0)),X2)) = join(join(complement(X_305),X0),X2),
inference(resolve,[$cnf( $equal(join(X0,join(complement(join(X_305,X0)),X2)),join(join(X0,complement(join(X_305,X0))),X2)) )],[refute_0_1950,refute_0_1978]) ).
cnf(refute_0_1980,plain,
join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),join(meet(complement(X_47),complement(X_48)),X_299))) = join(X_48,join(meet(complement(X_47),complement(X_48)),X_299)),
inference(subst,[],[refute_0_1492:[bind(X_82,$fot(join(meet(complement(X_47),complement(X_48)),X_299)))]]) ).
cnf(refute_0_1981,plain,
join(meet(X_48,complement(X_47)),join(meet(complement(X_47),complement(X_48)),X_299)) = join(complement(X_47),X_299),
inference(subst,[],[refute_0_1492:[bind(X_47,$fot(X_48)),bind(X_48,$fot(complement(X_47))),bind(X_82,$fot(X_299))]]) ).
cnf(refute_0_1982,plain,
( join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),join(meet(complement(X_47),complement(X_48)),X_299))) != join(X_48,join(meet(complement(X_47),complement(X_48)),X_299))
| join(meet(X_48,complement(X_47)),join(meet(complement(X_47),complement(X_48)),X_299)) != join(complement(X_47),X_299)
| join(meet(X_47,X_48),join(complement(X_47),X_299)) = join(X_48,join(meet(complement(X_47),complement(X_48)),X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),join(meet(complement(X_47),complement(X_48)),X_299))),join(X_48,join(meet(complement(X_47),complement(X_48)),X_299))) ),[0,1],$fot(join(complement(X_47),X_299))]]) ).
cnf(refute_0_1983,plain,
( join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),join(meet(complement(X_47),complement(X_48)),X_299))) != join(X_48,join(meet(complement(X_47),complement(X_48)),X_299))
| join(meet(X_47,X_48),join(complement(X_47),X_299)) = join(X_48,join(meet(complement(X_47),complement(X_48)),X_299)) ),
inference(resolve,[$cnf( $equal(join(meet(X_48,complement(X_47)),join(meet(complement(X_47),complement(X_48)),X_299)),join(complement(X_47),X_299)) )],[refute_0_1981,refute_0_1982]) ).
cnf(refute_0_1984,plain,
join(meet(X_47,X_48),join(complement(X_47),X_299)) = join(X_48,join(meet(complement(X_47),complement(X_48)),X_299)),
inference(resolve,[$cnf( $equal(join(meet(X_47,X_48),join(meet(X_48,complement(X_47)),join(meet(complement(X_47),complement(X_48)),X_299))),join(X_48,join(meet(complement(X_47),complement(X_48)),X_299))) )],[refute_0_1980,refute_0_1983]) ).
cnf(refute_0_1985,plain,
join(meet(X_47,X_48),join(complement(X_47),X_299)) = join(complement(X_47),join(meet(X_47,X_48),X_299)),
inference(subst,[],[refute_0_1123:[bind(X0,$fot(complement(X_47))),bind(X1,$fot(X_299)),bind(X_179,$fot(meet(X_47,X_48)))]]) ).
cnf(refute_0_1986,plain,
( join(meet(X_47,X_48),join(complement(X_47),X_299)) != join(X_48,join(meet(complement(X_47),complement(X_48)),X_299))
| join(meet(X_47,X_48),join(complement(X_47),X_299)) != join(complement(X_47),join(meet(X_47,X_48),X_299))
| join(complement(X_47),join(meet(X_47,X_48),X_299)) = join(X_48,join(meet(complement(X_47),complement(X_48)),X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_47,X_48),join(complement(X_47),X_299)),join(X_48,join(meet(complement(X_47),complement(X_48)),X_299))) ),[0],$fot(join(complement(X_47),join(meet(X_47,X_48),X_299)))]]) ).
cnf(refute_0_1987,plain,
( join(meet(X_47,X_48),join(complement(X_47),X_299)) != join(X_48,join(meet(complement(X_47),complement(X_48)),X_299))
| join(complement(X_47),join(meet(X_47,X_48),X_299)) = join(X_48,join(meet(complement(X_47),complement(X_48)),X_299)) ),
inference(resolve,[$cnf( $equal(join(meet(X_47,X_48),join(complement(X_47),X_299)),join(complement(X_47),join(meet(X_47,X_48),X_299))) )],[refute_0_1985,refute_0_1986]) ).
cnf(refute_0_1988,plain,
meet(complement(X_47),complement(X_48)) = complement(join(X_47,X_48)),
inference(subst,[],[refute_0_1501:[bind(X_139,$fot(X_47)),bind(X_39,$fot(X_48))]]) ).
cnf(refute_0_1989,plain,
join(meet(complement(X_47),complement(X_48)),X_299) = join(meet(complement(X_47),complement(X_48)),X_299),
introduced(tautology,[refl,[$fot(join(meet(complement(X_47),complement(X_48)),X_299))]]) ).
cnf(refute_0_1990,plain,
( join(meet(complement(X_47),complement(X_48)),X_299) != join(meet(complement(X_47),complement(X_48)),X_299)
| meet(complement(X_47),complement(X_48)) != complement(join(X_47,X_48))
| join(meet(complement(X_47),complement(X_48)),X_299) = join(complement(join(X_47,X_48)),X_299) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(X_47),complement(X_48)),X_299),join(meet(complement(X_47),complement(X_48)),X_299)) ),[1,0],$fot(complement(join(X_47,X_48)))]]) ).
cnf(refute_0_1991,plain,
( meet(complement(X_47),complement(X_48)) != complement(join(X_47,X_48))
| join(meet(complement(X_47),complement(X_48)),X_299) = join(complement(join(X_47,X_48)),X_299) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_47),complement(X_48)),X_299),join(meet(complement(X_47),complement(X_48)),X_299)) )],[refute_0_1989,refute_0_1990]) ).
cnf(refute_0_1992,plain,
join(meet(complement(X_47),complement(X_48)),X_299) = join(complement(join(X_47,X_48)),X_299),
inference(resolve,[$cnf( $equal(meet(complement(X_47),complement(X_48)),complement(join(X_47,X_48))) )],[refute_0_1988,refute_0_1991]) ).
cnf(refute_0_1993,plain,
join(X_48,join(meet(complement(X_47),complement(X_48)),X_299)) = join(X_48,join(meet(complement(X_47),complement(X_48)),X_299)),
introduced(tautology,[refl,[$fot(join(X_48,join(meet(complement(X_47),complement(X_48)),X_299)))]]) ).
cnf(refute_0_1994,plain,
( join(X_48,join(meet(complement(X_47),complement(X_48)),X_299)) != join(X_48,join(meet(complement(X_47),complement(X_48)),X_299))
| join(meet(complement(X_47),complement(X_48)),X_299) != join(complement(join(X_47,X_48)),X_299)
| join(X_48,join(meet(complement(X_47),complement(X_48)),X_299)) = join(X_48,join(complement(join(X_47,X_48)),X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_48,join(meet(complement(X_47),complement(X_48)),X_299)),join(X_48,join(meet(complement(X_47),complement(X_48)),X_299))) ),[1,1],$fot(join(complement(join(X_47,X_48)),X_299))]]) ).
cnf(refute_0_1995,plain,
( join(meet(complement(X_47),complement(X_48)),X_299) != join(complement(join(X_47,X_48)),X_299)
| join(X_48,join(meet(complement(X_47),complement(X_48)),X_299)) = join(X_48,join(complement(join(X_47,X_48)),X_299)) ),
inference(resolve,[$cnf( $equal(join(X_48,join(meet(complement(X_47),complement(X_48)),X_299)),join(X_48,join(meet(complement(X_47),complement(X_48)),X_299))) )],[refute_0_1993,refute_0_1994]) ).
cnf(refute_0_1996,plain,
join(X_48,join(meet(complement(X_47),complement(X_48)),X_299)) = join(X_48,join(complement(join(X_47,X_48)),X_299)),
inference(resolve,[$cnf( $equal(join(meet(complement(X_47),complement(X_48)),X_299),join(complement(join(X_47,X_48)),X_299)) )],[refute_0_1992,refute_0_1995]) ).
cnf(refute_0_1997,plain,
( join(X_48,join(meet(complement(X_47),complement(X_48)),X_299)) != join(X_48,join(complement(join(X_47,X_48)),X_299))
| join(complement(X_47),join(meet(X_47,X_48),X_299)) != join(X_48,join(meet(complement(X_47),complement(X_48)),X_299))
| join(complement(X_47),join(meet(X_47,X_48),X_299)) = join(X_48,join(complement(join(X_47,X_48)),X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_47),join(meet(X_47,X_48),X_299)),join(X_48,join(meet(complement(X_47),complement(X_48)),X_299))) ),[1],$fot(join(X_48,join(complement(join(X_47,X_48)),X_299)))]]) ).
cnf(refute_0_1998,plain,
( join(complement(X_47),join(meet(X_47,X_48),X_299)) != join(X_48,join(meet(complement(X_47),complement(X_48)),X_299))
| join(complement(X_47),join(meet(X_47,X_48),X_299)) = join(X_48,join(complement(join(X_47,X_48)),X_299)) ),
inference(resolve,[$cnf( $equal(join(X_48,join(meet(complement(X_47),complement(X_48)),X_299)),join(X_48,join(complement(join(X_47,X_48)),X_299))) )],[refute_0_1996,refute_0_1997]) ).
cnf(refute_0_1999,plain,
( join(meet(X_47,X_48),join(complement(X_47),X_299)) != join(X_48,join(meet(complement(X_47),complement(X_48)),X_299))
| join(complement(X_47),join(meet(X_47,X_48),X_299)) = join(X_48,join(complement(join(X_47,X_48)),X_299)) ),
inference(resolve,[$cnf( $equal(join(complement(X_47),join(meet(X_47,X_48),X_299)),join(X_48,join(meet(complement(X_47),complement(X_48)),X_299))) )],[refute_0_1987,refute_0_1998]) ).
cnf(refute_0_2000,plain,
join(complement(X_47),join(meet(X_47,X_48),X_299)) = join(X_48,join(complement(join(X_47,X_48)),X_299)),
inference(resolve,[$cnf( $equal(join(meet(X_47,X_48),join(complement(X_47),X_299)),join(X_48,join(meet(complement(X_47),complement(X_48)),X_299))) )],[refute_0_1984,refute_0_1999]) ).
cnf(refute_0_2001,plain,
join(X0,join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295))))) = join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)),
inference(subst,[],[refute_0_922:[bind(X_80,$fot(complement(X_295))),bind(X_81,$fot(meet(meet(X_295,X_296),join(X_296,complement(X_295)))))]]) ).
cnf(refute_0_2002,plain,
( join(X0,join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295))))) != join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0))
| join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295)))) != join(X_296,complement(X_295))
| join(X0,join(X_296,complement(X_295))) = join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295))))),join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0))) ),[0,1],$fot(join(X_296,complement(X_295)))]]) ).
cnf(refute_0_2003,plain,
( join(X0,join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295))))) != join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0))
| join(X0,join(X_296,complement(X_295))) = join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)) ),
inference(resolve,[$cnf( $equal(join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295)))),join(X_296,complement(X_295))) )],[refute_0_1923,refute_0_2002]) ).
cnf(refute_0_2004,plain,
join(X0,join(X_296,complement(X_295))) = join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(complement(X_295),meet(meet(X_295,X_296),join(X_296,complement(X_295))))),join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0))) )],[refute_0_2001,refute_0_2003]) ).
cnf(refute_0_2005,plain,
join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0) = join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0),
introduced(tautology,[refl,[$fot(join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0))]]) ).
cnf(refute_0_2006,plain,
( join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0) != join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)
| meet(meet(X_295,X_296),join(X_296,complement(X_295))) != meet(X_295,X_296)
| join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0) = join(meet(X_295,X_296),X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)) ),[1,0],$fot(meet(X_295,X_296))]]) ).
cnf(refute_0_2007,plain,
( meet(meet(X_295,X_296),join(X_296,complement(X_295))) != meet(X_295,X_296)
| join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0) = join(meet(X_295,X_296),X0) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)) )],[refute_0_2005,refute_0_2006]) ).
cnf(refute_0_2008,plain,
join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0) = join(meet(X_295,X_296),X0),
inference(resolve,[$cnf( $equal(meet(meet(X_295,X_296),join(X_296,complement(X_295))),meet(X_295,X_296)) )],[refute_0_1934,refute_0_2007]) ).
cnf(refute_0_2009,plain,
join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)) = join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)),
introduced(tautology,[refl,[$fot(join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)))]]) ).
cnf(refute_0_2010,plain,
( join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)) != join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0))
| join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0) != join(meet(X_295,X_296),X0)
| join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)) = join(complement(X_295),join(meet(X_295,X_296),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)),join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0))) ),[1,1],$fot(join(meet(X_295,X_296),X0))]]) ).
cnf(refute_0_2011,plain,
( join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0) != join(meet(X_295,X_296),X0)
| join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)) = join(complement(X_295),join(meet(X_295,X_296),X0)) ),
inference(resolve,[$cnf( $equal(join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)),join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0))) )],[refute_0_2009,refute_0_2010]) ).
cnf(refute_0_2012,plain,
join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)) = join(complement(X_295),join(meet(X_295,X_296),X0)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0),join(meet(X_295,X_296),X0)) )],[refute_0_2008,refute_0_2011]) ).
cnf(refute_0_2013,plain,
( join(X0,join(X_296,complement(X_295))) != join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0))
| join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)) != join(complement(X_295),join(meet(X_295,X_296),X0))
| join(X0,join(X_296,complement(X_295))) = join(complement(X_295),join(meet(X_295,X_296),X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_296,complement(X_295))),join(complement(X_295),join(meet(X_295,X_296),X0))) ),[0],$fot(join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)))]]) ).
cnf(refute_0_2014,plain,
( join(X0,join(X_296,complement(X_295))) != join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0))
| join(X0,join(X_296,complement(X_295))) = join(complement(X_295),join(meet(X_295,X_296),X0)) ),
inference(resolve,[$cnf( $equal(join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0)),join(complement(X_295),join(meet(X_295,X_296),X0))) )],[refute_0_2012,refute_0_2013]) ).
cnf(refute_0_2015,plain,
join(X0,join(X_296,complement(X_295))) = join(complement(X_295),join(meet(X_295,X_296),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_296,complement(X_295))),join(complement(X_295),join(meet(meet(X_295,X_296),join(X_296,complement(X_295))),X0))) )],[refute_0_2004,refute_0_2014]) ).
cnf(refute_0_2016,plain,
( join(X0,join(X_296,complement(X_295))) != join(complement(X_295),join(meet(X_295,X_296),X0))
| join(complement(X_295),join(meet(X_295,X_296),X0)) = join(X0,join(X_296,complement(X_295))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,join(X_296,complement(X_295))))),bind(Y,$fot(join(complement(X_295),join(meet(X_295,X_296),X0))))]]) ).
cnf(refute_0_2017,plain,
join(complement(X_295),join(meet(X_295,X_296),X0)) = join(X0,join(X_296,complement(X_295))),
inference(resolve,[$cnf( $equal(join(X0,join(X_296,complement(X_295))),join(complement(X_295),join(meet(X_295,X_296),X0))) )],[refute_0_2015,refute_0_2016]) ).
cnf(refute_0_2018,plain,
join(complement(X_47),join(meet(X_47,X_48),X_299)) = join(X_299,join(X_48,complement(X_47))),
inference(subst,[],[refute_0_2017:[bind(X0,$fot(X_299)),bind(X_295,$fot(X_47)),bind(X_296,$fot(X_48))]]) ).
cnf(refute_0_2019,plain,
( join(complement(X_47),join(meet(X_47,X_48),X_299)) != join(X_299,join(X_48,complement(X_47)))
| join(complement(X_47),join(meet(X_47,X_48),X_299)) != join(X_48,join(complement(join(X_47,X_48)),X_299))
| join(X_299,join(X_48,complement(X_47))) = join(X_48,join(complement(join(X_47,X_48)),X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_47),join(meet(X_47,X_48),X_299)),join(X_48,join(complement(join(X_47,X_48)),X_299))) ),[0],$fot(join(X_299,join(X_48,complement(X_47))))]]) ).
cnf(refute_0_2020,plain,
( join(complement(X_47),join(meet(X_47,X_48),X_299)) != join(X_48,join(complement(join(X_47,X_48)),X_299))
| join(X_299,join(X_48,complement(X_47))) = join(X_48,join(complement(join(X_47,X_48)),X_299)) ),
inference(resolve,[$cnf( $equal(join(complement(X_47),join(meet(X_47,X_48),X_299)),join(X_299,join(X_48,complement(X_47)))) )],[refute_0_2018,refute_0_2019]) ).
cnf(refute_0_2021,plain,
join(X_299,join(X_48,complement(X_47))) = join(X_48,join(complement(join(X_47,X_48)),X_299)),
inference(resolve,[$cnf( $equal(join(complement(X_47),join(meet(X_47,X_48),X_299)),join(X_48,join(complement(join(X_47,X_48)),X_299))) )],[refute_0_2000,refute_0_2020]) ).
cnf(refute_0_2022,plain,
( join(X_299,join(X_48,complement(X_47))) != join(X_48,join(complement(join(X_47,X_48)),X_299))
| join(X_48,join(complement(join(X_47,X_48)),X_299)) = join(X_299,join(X_48,complement(X_47))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_299,join(X_48,complement(X_47))))),bind(Y,$fot(join(X_48,join(complement(join(X_47,X_48)),X_299))))]]) ).
cnf(refute_0_2023,plain,
join(X_48,join(complement(join(X_47,X_48)),X_299)) = join(X_299,join(X_48,complement(X_47))),
inference(resolve,[$cnf( $equal(join(X_299,join(X_48,complement(X_47))),join(X_48,join(complement(join(X_47,X_48)),X_299))) )],[refute_0_2021,refute_0_2022]) ).
cnf(refute_0_2024,plain,
join(X0,join(complement(join(X_305,X0)),X2)) = join(X2,join(X0,complement(X_305))),
inference(subst,[],[refute_0_2023:[bind(X_299,$fot(X2)),bind(X_47,$fot(X_305)),bind(X_48,$fot(X0))]]) ).
cnf(refute_0_2025,plain,
( join(X0,join(complement(join(X_305,X0)),X2)) != join(X2,join(X0,complement(X_305)))
| join(X0,join(complement(join(X_305,X0)),X2)) != join(join(complement(X_305),X0),X2)
| join(X2,join(X0,complement(X_305))) = join(join(complement(X_305),X0),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(complement(join(X_305,X0)),X2)),join(join(complement(X_305),X0),X2)) ),[0],$fot(join(X2,join(X0,complement(X_305))))]]) ).
cnf(refute_0_2026,plain,
( join(X0,join(complement(join(X_305,X0)),X2)) != join(join(complement(X_305),X0),X2)
| join(X2,join(X0,complement(X_305))) = join(join(complement(X_305),X0),X2) ),
inference(resolve,[$cnf( $equal(join(X0,join(complement(join(X_305,X0)),X2)),join(X2,join(X0,complement(X_305)))) )],[refute_0_2024,refute_0_2025]) ).
cnf(refute_0_2027,plain,
join(join(complement(X_305),X0),X2) = join(complement(X_305),join(X0,X2)),
inference(subst,[],[refute_0_262:[bind(X0,$fot(complement(X_305))),bind(X1,$fot(X0))]]) ).
cnf(refute_0_2028,plain,
( join(X2,join(X0,complement(X_305))) != join(join(complement(X_305),X0),X2)
| join(join(complement(X_305),X0),X2) != join(complement(X_305),join(X0,X2))
| join(X2,join(X0,complement(X_305))) = join(complement(X_305),join(X0,X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X2,join(X0,complement(X_305))),join(complement(X_305),join(X0,X2))) ),[0],$fot(join(join(complement(X_305),X0),X2))]]) ).
cnf(refute_0_2029,plain,
( join(X2,join(X0,complement(X_305))) != join(join(complement(X_305),X0),X2)
| join(X2,join(X0,complement(X_305))) = join(complement(X_305),join(X0,X2)) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_305),X0),X2),join(complement(X_305),join(X0,X2))) )],[refute_0_2027,refute_0_2028]) ).
cnf(refute_0_2030,plain,
( join(X0,join(complement(join(X_305,X0)),X2)) != join(join(complement(X_305),X0),X2)
| join(X2,join(X0,complement(X_305))) = join(complement(X_305),join(X0,X2)) ),
inference(resolve,[$cnf( $equal(join(X2,join(X0,complement(X_305))),join(join(complement(X_305),X0),X2)) )],[refute_0_2026,refute_0_2029]) ).
cnf(refute_0_2031,plain,
join(X2,join(X0,complement(X_305))) = join(complement(X_305),join(X0,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(complement(join(X_305,X0)),X2)),join(join(complement(X_305),X0),X2)) )],[refute_0_1979,refute_0_2030]) ).
cnf(refute_0_2032,plain,
join(meet(X_39,X1),join(X1,complement(X_39))) = join(complement(X_39),join(X1,meet(X_39,X1))),
inference(subst,[],[refute_0_2031:[bind(X0,$fot(X1)),bind(X2,$fot(meet(X_39,X1))),bind(X_305,$fot(X_39))]]) ).
cnf(refute_0_2033,plain,
( join(complement(X_39),join(X1,meet(X_39,X1))) != join(X1,complement(X_39))
| join(meet(X_39,X1),join(X1,complement(X_39))) != join(complement(X_39),join(X1,meet(X_39,X1)))
| join(meet(X_39,X1),join(X1,complement(X_39))) = join(X1,complement(X_39)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_39,X1),join(X1,complement(X_39))))),bind(Y,$fot(join(complement(X_39),join(X1,meet(X_39,X1))))),bind(Z,$fot(join(X1,complement(X_39))))]]) ).
cnf(refute_0_2034,plain,
( join(complement(X_39),join(X1,meet(X_39,X1))) != join(X1,complement(X_39))
| join(meet(X_39,X1),join(X1,complement(X_39))) = join(X1,complement(X_39)) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,X1),join(X1,complement(X_39))),join(complement(X_39),join(X1,meet(X_39,X1)))) )],[refute_0_2032,refute_0_2033]) ).
cnf(refute_0_2035,plain,
join(meet(X_39,X1),join(X1,complement(X_39))) = join(X1,complement(X_39)),
inference(resolve,[$cnf( $equal(join(complement(X_39),join(X1,meet(X_39,X1))),join(X1,complement(X_39))) )],[refute_0_1949,refute_0_2034]) ).
cnf(refute_0_2036,plain,
join(X_309,complement(X_308)) = complement(meet(complement(X_309),X_308)),
inference(subst,[],[refute_0_378:[bind(X_138,$fot(X_308)),bind(X_139,$fot(X_309))]]) ).
cnf(refute_0_2037,plain,
meet(X_308,complement(X_309)) = meet(complement(X_309),X_308),
inference(subst,[],[refute_0_168:[bind(X_10,$fot(X_308)),bind(X_11,$fot(complement(X_309)))]]) ).
cnf(refute_0_2038,plain,
( meet(X_308,complement(X_309)) != meet(complement(X_309),X_308)
| meet(complement(X_309),X_308) = meet(X_308,complement(X_309)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_308,complement(X_309)))),bind(Y,$fot(meet(complement(X_309),X_308)))]]) ).
cnf(refute_0_2039,plain,
meet(complement(X_309),X_308) = meet(X_308,complement(X_309)),
inference(resolve,[$cnf( $equal(meet(X_308,complement(X_309)),meet(complement(X_309),X_308)) )],[refute_0_2037,refute_0_2038]) ).
cnf(refute_0_2040,plain,
( join(X_309,complement(X_308)) != complement(meet(complement(X_309),X_308))
| meet(complement(X_309),X_308) != meet(X_308,complement(X_309))
| join(X_309,complement(X_308)) = complement(meet(X_308,complement(X_309))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_309,complement(X_308)),complement(meet(complement(X_309),X_308))) ),[1,0],$fot(meet(X_308,complement(X_309)))]]) ).
cnf(refute_0_2041,plain,
( join(X_309,complement(X_308)) != complement(meet(complement(X_309),X_308))
| join(X_309,complement(X_308)) = complement(meet(X_308,complement(X_309))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_309),X_308),meet(X_308,complement(X_309))) )],[refute_0_2039,refute_0_2040]) ).
cnf(refute_0_2042,plain,
join(X_309,complement(X_308)) = complement(meet(X_308,complement(X_309))),
inference(resolve,[$cnf( $equal(join(X_309,complement(X_308)),complement(meet(complement(X_309),X_308))) )],[refute_0_2036,refute_0_2041]) ).
cnf(refute_0_2043,plain,
( join(X_309,complement(X_308)) != complement(meet(X_308,complement(X_309)))
| complement(meet(X_308,complement(X_309))) = join(X_309,complement(X_308)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_309,complement(X_308)))),bind(Y,$fot(complement(meet(X_308,complement(X_309)))))]]) ).
cnf(refute_0_2044,plain,
complement(meet(X_308,complement(X_309))) = join(X_309,complement(X_308)),
inference(resolve,[$cnf( $equal(join(X_309,complement(X_308)),complement(meet(X_308,complement(X_309)))) )],[refute_0_2042,refute_0_2043]) ).
cnf(refute_0_2045,plain,
complement(meet(X_39,complement(X1))) = join(X1,complement(X_39)),
inference(subst,[],[refute_0_2044:[bind(X_308,$fot(X_39)),bind(X_309,$fot(X1))]]) ).
cnf(refute_0_2046,plain,
join(meet(X_39,X1),complement(meet(X_39,complement(X1)))) = join(meet(X_39,X1),complement(meet(X_39,complement(X1)))),
introduced(tautology,[refl,[$fot(join(meet(X_39,X1),complement(meet(X_39,complement(X1)))))]]) ).
cnf(refute_0_2047,plain,
( complement(meet(X_39,complement(X1))) != join(X1,complement(X_39))
| join(meet(X_39,X1),complement(meet(X_39,complement(X1)))) != join(meet(X_39,X1),complement(meet(X_39,complement(X1))))
| join(meet(X_39,X1),complement(meet(X_39,complement(X1)))) = join(meet(X_39,X1),join(X1,complement(X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_39,X1),complement(meet(X_39,complement(X1)))),join(meet(X_39,X1),complement(meet(X_39,complement(X1))))) ),[1,1],$fot(join(X1,complement(X_39)))]]) ).
cnf(refute_0_2048,plain,
( complement(meet(X_39,complement(X1))) != join(X1,complement(X_39))
| join(meet(X_39,X1),complement(meet(X_39,complement(X1)))) = join(meet(X_39,X1),join(X1,complement(X_39))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,X1),complement(meet(X_39,complement(X1)))),join(meet(X_39,X1),complement(meet(X_39,complement(X1))))) )],[refute_0_2046,refute_0_2047]) ).
cnf(refute_0_2049,plain,
join(meet(X_39,X1),complement(meet(X_39,complement(X1)))) = join(meet(X_39,X1),join(X1,complement(X_39))),
inference(resolve,[$cnf( $equal(complement(meet(X_39,complement(X1))),join(X1,complement(X_39))) )],[refute_0_2045,refute_0_2048]) ).
cnf(refute_0_2050,plain,
( join(meet(X_39,X1),complement(meet(X_39,complement(X1)))) != join(meet(X_39,X1),join(X1,complement(X_39)))
| join(meet(X_39,X1),join(X1,complement(X_39))) != join(X1,complement(X_39))
| join(meet(X_39,X1),complement(meet(X_39,complement(X1)))) = join(X1,complement(X_39)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_39,X1),complement(meet(X_39,complement(X1)))))),bind(Y,$fot(join(meet(X_39,X1),join(X1,complement(X_39))))),bind(Z,$fot(join(X1,complement(X_39))))]]) ).
cnf(refute_0_2051,plain,
( join(meet(X_39,X1),join(X1,complement(X_39))) != join(X1,complement(X_39))
| join(meet(X_39,X1),complement(meet(X_39,complement(X1)))) = join(X1,complement(X_39)) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,X1),complement(meet(X_39,complement(X1)))),join(meet(X_39,X1),join(X1,complement(X_39)))) )],[refute_0_2049,refute_0_2050]) ).
cnf(refute_0_2052,plain,
join(meet(X_39,X1),complement(meet(X_39,complement(X1)))) = join(X1,complement(X_39)),
inference(resolve,[$cnf( $equal(join(meet(X_39,X1),join(X1,complement(X_39))),join(X1,complement(X_39))) )],[refute_0_2035,refute_0_2051]) ).
cnf(refute_0_2053,plain,
meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1))))) = meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1))))),
introduced(tautology,[refl,[$fot(meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1))))))]]) ).
cnf(refute_0_2054,plain,
( join(meet(X_39,X1),complement(meet(X_39,complement(X1)))) != join(X1,complement(X_39))
| meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1))))) != meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1)))))
| meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1))))) = meet(X_39,join(X1,complement(X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1))))),meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1)))))) ),[1,1],$fot(join(X1,complement(X_39)))]]) ).
cnf(refute_0_2055,plain,
( join(meet(X_39,X1),complement(meet(X_39,complement(X1)))) != join(X1,complement(X_39))
| meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1))))) = meet(X_39,join(X1,complement(X_39))) ),
inference(resolve,[$cnf( $equal(meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1))))),meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1)))))) )],[refute_0_2053,refute_0_2054]) ).
cnf(refute_0_2056,plain,
meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1))))) = meet(X_39,join(X1,complement(X_39))),
inference(resolve,[$cnf( $equal(join(meet(X_39,X1),complement(meet(X_39,complement(X1)))),join(X1,complement(X_39))) )],[refute_0_2052,refute_0_2055]) ).
cnf(refute_0_2057,plain,
( meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1))))) != meet(X_39,X1)
| meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1))))) != meet(X_39,join(X1,complement(X_39)))
| meet(X_39,join(X1,complement(X_39))) = meet(X_39,X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1))))),meet(X_39,X1)) ),[0],$fot(meet(X_39,join(X1,complement(X_39))))]]) ).
cnf(refute_0_2058,plain,
( meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1))))) != meet(X_39,X1)
| meet(X_39,join(X1,complement(X_39))) = meet(X_39,X1) ),
inference(resolve,[$cnf( $equal(meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1))))),meet(X_39,join(X1,complement(X_39)))) )],[refute_0_2056,refute_0_2057]) ).
cnf(refute_0_2059,plain,
meet(X_39,join(X1,complement(X_39))) = meet(X_39,X1),
inference(resolve,[$cnf( $equal(meet(X_39,join(meet(X_39,X1),complement(meet(X_39,complement(X1))))),meet(X_39,X1)) )],[refute_0_1893,refute_0_2058]) ).
cnf(refute_0_2060,plain,
meet(X_550,join(X_70,complement(X_550))) = meet(X_550,X_70),
inference(subst,[],[refute_0_2059:[bind(X1,$fot(X_70)),bind(X_39,$fot(X_550))]]) ).
cnf(refute_0_2061,plain,
meet(join(X_70,complement(X_550)),X_550) = meet(X_550,join(X_70,complement(X_550))),
inference(subst,[],[refute_0_1482:[bind(X_47,$fot(join(X_70,complement(X_550)))),bind(X_48,$fot(X_550))]]) ).
cnf(refute_0_2062,plain,
( meet(X_550,join(X_70,complement(X_550))) != meet(X_550,X_70)
| meet(join(X_70,complement(X_550)),X_550) != meet(X_550,join(X_70,complement(X_550)))
| meet(join(X_70,complement(X_550)),X_550) = meet(X_550,X_70) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(X_70,complement(X_550)),X_550))),bind(Y,$fot(meet(X_550,join(X_70,complement(X_550))))),bind(Z,$fot(meet(X_550,X_70)))]]) ).
cnf(refute_0_2063,plain,
( meet(X_550,join(X_70,complement(X_550))) != meet(X_550,X_70)
| meet(join(X_70,complement(X_550)),X_550) = meet(X_550,X_70) ),
inference(resolve,[$cnf( $equal(meet(join(X_70,complement(X_550)),X_550),meet(X_550,join(X_70,complement(X_550)))) )],[refute_0_2061,refute_0_2062]) ).
cnf(refute_0_2064,plain,
meet(join(X_70,complement(X_550)),X_550) = meet(X_550,X_70),
inference(resolve,[$cnf( $equal(meet(X_550,join(X_70,complement(X_550))),meet(X_550,X_70)) )],[refute_0_2060,refute_0_2063]) ).
cnf(refute_0_2065,plain,
join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(complement(X_403),meet(meet(X_404,X_403),join(X_404,complement(X_403)))))),
inference(subst,[],[refute_0_1973:[bind(X_297,$fot(complement(X_403))),bind(X_298,$fot(meet(meet(X_404,X_403),join(X_404,complement(X_403)))))]]) ).
cnf(refute_0_2066,plain,
join(X_404,complement(X_403)) = join(complement(X_403),meet(meet(X_404,X_403),join(X_404,complement(X_403)))),
inference(subst,[],[refute_0_1563:[bind(X_69,$fot(X_403)),bind(X_70,$fot(X_404))]]) ).
cnf(refute_0_2067,plain,
( join(X_404,complement(X_403)) != join(complement(X_403),meet(meet(X_404,X_403),join(X_404,complement(X_403))))
| join(complement(X_403),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = join(X_404,complement(X_403)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_404,complement(X_403)))),bind(Y,$fot(join(complement(X_403),meet(meet(X_404,X_403),join(X_404,complement(X_403))))))]]) ).
cnf(refute_0_2068,plain,
join(complement(X_403),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = join(X_404,complement(X_403)),
inference(resolve,[$cnf( $equal(join(X_404,complement(X_403)),join(complement(X_403),meet(meet(X_404,X_403),join(X_404,complement(X_403))))) )],[refute_0_2066,refute_0_2067]) ).
cnf(refute_0_2069,plain,
( join(complement(X_403),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) != join(X_404,complement(X_403))
| join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) != join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(complement(X_403),meet(meet(X_404,X_403),join(X_404,complement(X_403))))))
| join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))),join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(complement(X_403),meet(meet(X_404,X_403),join(X_404,complement(X_403))))))) ),[1,1,0],$fot(join(X_404,complement(X_403)))]]) ).
cnf(refute_0_2070,plain,
( join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) != join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(complement(X_403),meet(meet(X_404,X_403),join(X_404,complement(X_403))))))
| join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_403),meet(meet(X_404,X_403),join(X_404,complement(X_403)))),join(X_404,complement(X_403))) )],[refute_0_2068,refute_0_2069]) ).
cnf(refute_0_2071,plain,
join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))),join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(complement(X_403),meet(meet(X_404,X_403),join(X_404,complement(X_403))))))) )],[refute_0_2065,refute_0_2070]) ).
cnf(refute_0_2072,plain,
complement(complement(X_403)) = X_403,
inference(subst,[],[refute_0_340:[bind(X_39,$fot(X_403))]]) ).
cnf(refute_0_2073,plain,
join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))))]]) ).
cnf(refute_0_2074,plain,
( complement(complement(X_403)) != X_403
| join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) != join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403))))
| join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = join(X_403,meet(meet(X_404,X_403),join(X_404,complement(X_403)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))),join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403))))) ),[1,0],$fot(X_403)]]) ).
cnf(refute_0_2075,plain,
( complement(complement(X_403)) != X_403
| join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = join(X_403,meet(meet(X_404,X_403),join(X_404,complement(X_403)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))),join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403))))) )],[refute_0_2073,refute_0_2074]) ).
cnf(refute_0_2076,plain,
join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = join(X_403,meet(meet(X_404,X_403),join(X_404,complement(X_403)))),
inference(resolve,[$cnf( $equal(complement(complement(X_403)),X_403) )],[refute_0_2072,refute_0_2075]) ).
cnf(refute_0_2077,plain,
( join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) != join(X_403,meet(meet(X_404,X_403),join(X_404,complement(X_403))))
| join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) != join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403))))
| join(X_403,meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))),join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403))))) ),[0],$fot(join(X_403,meet(meet(X_404,X_403),join(X_404,complement(X_403)))))]]) ).
cnf(refute_0_2078,plain,
( join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) != join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403))))
| join(X_403,meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))),join(X_403,meet(meet(X_404,X_403),join(X_404,complement(X_403))))) )],[refute_0_2076,refute_0_2077]) ).
cnf(refute_0_2079,plain,
join(meet(X_404,X_403),meet(complement(X_404),X_403)) = X_403,
inference(subst,[],[refute_0_1071:[bind(X_72,$fot(X_404)),bind(X_73,$fot(X_403))]]) ).
cnf(refute_0_2080,plain,
( meet(complement(X_137),X_135) != complement(join(X_137,complement(X_135)))
| complement(join(X_137,complement(X_135))) = meet(complement(X_137),X_135) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(complement(X_137),X_135))),bind(Y,$fot(complement(join(X_137,complement(X_135)))))]]) ).
cnf(refute_0_2081,plain,
complement(join(X_137,complement(X_135))) = meet(complement(X_137),X_135),
inference(resolve,[$cnf( $equal(meet(complement(X_137),X_135),complement(join(X_137,complement(X_135)))) )],[refute_0_372,refute_0_2080]) ).
cnf(refute_0_2082,plain,
complement(join(X_404,complement(X_403))) = meet(complement(X_404),X_403),
inference(subst,[],[refute_0_2081:[bind(X_135,$fot(X_403)),bind(X_137,$fot(X_404))]]) ).
cnf(refute_0_2083,plain,
join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))) = join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))),
introduced(tautology,[refl,[$fot(join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))))]]) ).
cnf(refute_0_2084,plain,
( complement(join(X_404,complement(X_403))) != meet(complement(X_404),X_403)
| join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))) != join(meet(X_404,X_403),complement(join(X_404,complement(X_403))))
| join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))) = join(meet(X_404,X_403),meet(complement(X_404),X_403)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))),join(meet(X_404,X_403),complement(join(X_404,complement(X_403))))) ),[1,1],$fot(meet(complement(X_404),X_403))]]) ).
cnf(refute_0_2085,plain,
( complement(join(X_404,complement(X_403))) != meet(complement(X_404),X_403)
| join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))) = join(meet(X_404,X_403),meet(complement(X_404),X_403)) ),
inference(resolve,[$cnf( $equal(join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))),join(meet(X_404,X_403),complement(join(X_404,complement(X_403))))) )],[refute_0_2083,refute_0_2084]) ).
cnf(refute_0_2086,plain,
join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))) = join(meet(X_404,X_403),meet(complement(X_404),X_403)),
inference(resolve,[$cnf( $equal(complement(join(X_404,complement(X_403))),meet(complement(X_404),X_403)) )],[refute_0_2082,refute_0_2085]) ).
cnf(refute_0_2087,plain,
( join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))) != join(meet(X_404,X_403),meet(complement(X_404),X_403))
| join(meet(X_404,X_403),meet(complement(X_404),X_403)) != X_403
| join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))) = X_403 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))))),bind(Y,$fot(join(meet(X_404,X_403),meet(complement(X_404),X_403)))),bind(Z,$fot(X_403))]]) ).
cnf(refute_0_2088,plain,
( join(meet(X_404,X_403),meet(complement(X_404),X_403)) != X_403
| join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))) = X_403 ),
inference(resolve,[$cnf( $equal(join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))),join(meet(X_404,X_403),meet(complement(X_404),X_403))) )],[refute_0_2086,refute_0_2087]) ).
cnf(refute_0_2089,plain,
join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))) = X_403,
inference(resolve,[$cnf( $equal(join(meet(X_404,X_403),meet(complement(X_404),X_403)),X_403) )],[refute_0_2079,refute_0_2088]) ).
cnf(refute_0_2090,plain,
join(complement(join(X_404,complement(X_403))),meet(X_404,X_403)) = join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))),
inference(subst,[],[refute_0_1790:[bind(X0,$fot(meet(X_404,X_403))),bind(X_80,$fot(complement(join(X_404,complement(X_403)))))]]) ).
cnf(refute_0_2091,plain,
join(complement(join(X_404,complement(X_403))),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = join(complement(join(X_404,complement(X_403))),meet(X_404,X_403)),
inference(subst,[],[refute_0_1613:[bind(X_39,$fot(join(X_404,complement(X_403)))),bind(X_40,$fot(meet(X_404,X_403)))]]) ).
cnf(refute_0_2092,plain,
( join(complement(join(X_404,complement(X_403))),meet(X_404,X_403)) != join(meet(X_404,X_403),complement(join(X_404,complement(X_403))))
| join(complement(join(X_404,complement(X_403))),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) != join(complement(join(X_404,complement(X_403))),meet(X_404,X_403))
| join(complement(join(X_404,complement(X_403))),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(join(X_404,complement(X_403))),meet(meet(X_404,X_403),join(X_404,complement(X_403)))))),bind(Y,$fot(join(complement(join(X_404,complement(X_403))),meet(X_404,X_403)))),bind(Z,$fot(join(meet(X_404,X_403),complement(join(X_404,complement(X_403))))))]]) ).
cnf(refute_0_2093,plain,
( join(complement(join(X_404,complement(X_403))),meet(X_404,X_403)) != join(meet(X_404,X_403),complement(join(X_404,complement(X_403))))
| join(complement(join(X_404,complement(X_403))),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_404,complement(X_403))),meet(meet(X_404,X_403),join(X_404,complement(X_403)))),join(complement(join(X_404,complement(X_403))),meet(X_404,X_403))) )],[refute_0_2091,refute_0_2092]) ).
cnf(refute_0_2094,plain,
join(complement(join(X_404,complement(X_403))),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))),
inference(resolve,[$cnf( $equal(join(complement(join(X_404,complement(X_403))),meet(X_404,X_403)),join(meet(X_404,X_403),complement(join(X_404,complement(X_403))))) )],[refute_0_2090,refute_0_2093]) ).
cnf(refute_0_2095,plain,
join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))) = join(complement(join(X_404,complement(X_403))),meet(meet(X_404,X_403),join(X_404,complement(X_403)))),
inference(subst,[],[refute_0_1790:[bind(X0,$fot(complement(join(X_404,complement(X_403))))),bind(X_80,$fot(meet(meet(X_404,X_403),join(X_404,complement(X_403)))))]]) ).
cnf(refute_0_2096,plain,
( join(complement(join(X_404,complement(X_403))),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) != join(meet(X_404,X_403),complement(join(X_404,complement(X_403))))
| join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))) != join(complement(join(X_404,complement(X_403))),meet(meet(X_404,X_403),join(X_404,complement(X_403))))
| join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))) = join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))))),bind(Y,$fot(join(complement(join(X_404,complement(X_403))),meet(meet(X_404,X_403),join(X_404,complement(X_403)))))),bind(Z,$fot(join(meet(X_404,X_403),complement(join(X_404,complement(X_403))))))]]) ).
cnf(refute_0_2097,plain,
( join(complement(join(X_404,complement(X_403))),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) != join(meet(X_404,X_403),complement(join(X_404,complement(X_403))))
| join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))) = join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))),join(complement(join(X_404,complement(X_403))),meet(meet(X_404,X_403),join(X_404,complement(X_403))))) )],[refute_0_2095,refute_0_2096]) ).
cnf(refute_0_2098,plain,
join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))) = join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))),
inference(resolve,[$cnf( $equal(join(complement(join(X_404,complement(X_403))),meet(meet(X_404,X_403),join(X_404,complement(X_403)))),join(meet(X_404,X_403),complement(join(X_404,complement(X_403))))) )],[refute_0_2094,refute_0_2097]) ).
cnf(refute_0_2099,plain,
( join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))) != X_403
| join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))) != join(meet(X_404,X_403),complement(join(X_404,complement(X_403))))
| join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))) = X_403 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))))),bind(Y,$fot(join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))))),bind(Z,$fot(X_403))]]) ).
cnf(refute_0_2100,plain,
( join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))) != X_403
| join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))) = X_403 ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))),join(meet(X_404,X_403),complement(join(X_404,complement(X_403))))) )],[refute_0_2098,refute_0_2099]) ).
cnf(refute_0_2101,plain,
join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))) = X_403,
inference(resolve,[$cnf( $equal(join(meet(X_404,X_403),complement(join(X_404,complement(X_403)))),X_403) )],[refute_0_2089,refute_0_2100]) ).
cnf(refute_0_2102,plain,
( join(X_403,meet(meet(X_404,X_403),join(X_404,complement(X_403)))) != join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403))))
| join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))) != X_403
| join(X_403,meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = X_403 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_403,meet(meet(X_404,X_403),join(X_404,complement(X_403)))),X_403) ),[0],$fot(join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))))]]) ).
cnf(refute_0_2103,plain,
( join(X_403,meet(meet(X_404,X_403),join(X_404,complement(X_403)))) != join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403))))
| join(X_403,meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = X_403 ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403)))),X_403) )],[refute_0_2101,refute_0_2102]) ).
cnf(refute_0_2104,plain,
( join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))) != join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403))))
| join(X_403,meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = X_403 ),
inference(resolve,[$cnf( $equal(join(X_403,meet(meet(X_404,X_403),join(X_404,complement(X_403)))),join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403))))) )],[refute_0_2078,refute_0_2103]) ).
cnf(refute_0_2105,plain,
join(X_403,meet(meet(X_404,X_403),join(X_404,complement(X_403)))) = X_403,
inference(resolve,[$cnf( $equal(join(complement(complement(X_403)),meet(meet(X_404,X_403),join(X_404,complement(X_403)))),join(meet(meet(X_404,X_403),join(X_404,complement(X_403))),complement(join(X_404,complement(X_403))))) )],[refute_0_2071,refute_0_2104]) ).
cnf(refute_0_2106,plain,
join(X_550,meet(meet(X_70,X_550),join(X_70,complement(X_550)))) = X_550,
inference(subst,[],[refute_0_2105:[bind(X_403,$fot(X_550)),bind(X_404,$fot(X_70))]]) ).
cnf(refute_0_2107,plain,
join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550) = join(X_550,meet(meet(X_70,X_550),join(X_70,complement(X_550)))),
inference(subst,[],[refute_0_1790:[bind(X0,$fot(X_550)),bind(X_80,$fot(meet(meet(X_70,X_550),join(X_70,complement(X_550)))))]]) ).
cnf(refute_0_2108,plain,
( join(X_550,meet(meet(X_70,X_550),join(X_70,complement(X_550)))) != X_550
| join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550) != join(X_550,meet(meet(X_70,X_550),join(X_70,complement(X_550))))
| join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550) = X_550 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550))),bind(Y,$fot(join(X_550,meet(meet(X_70,X_550),join(X_70,complement(X_550)))))),bind(Z,$fot(X_550))]]) ).
cnf(refute_0_2109,plain,
( join(X_550,meet(meet(X_70,X_550),join(X_70,complement(X_550)))) != X_550
| join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550) = X_550 ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(X_550,meet(meet(X_70,X_550),join(X_70,complement(X_550))))) )],[refute_0_2107,refute_0_2108]) ).
cnf(refute_0_2110,plain,
join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550) = X_550,
inference(resolve,[$cnf( $equal(join(X_550,meet(meet(X_70,X_550),join(X_70,complement(X_550)))),X_550) )],[refute_0_2106,refute_0_2109]) ).
cnf(refute_0_2111,plain,
meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)) = meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)),
introduced(tautology,[refl,[$fot(meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)))]]) ).
cnf(refute_0_2112,plain,
( join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550) != X_550
| meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)) != meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550))
| meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)) = meet(join(X_70,complement(X_550)),X_550) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)),meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550))) ),[1,1],$fot(X_550)]]) ).
cnf(refute_0_2113,plain,
( join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550) != X_550
| meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)) = meet(join(X_70,complement(X_550)),X_550) ),
inference(resolve,[$cnf( $equal(meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)),meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550))) )],[refute_0_2111,refute_0_2112]) ).
cnf(refute_0_2114,plain,
meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)) = meet(join(X_70,complement(X_550)),X_550),
inference(resolve,[$cnf( $equal(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),X_550) )],[refute_0_2110,refute_0_2113]) ).
cnf(refute_0_2115,plain,
( meet(join(X_70,complement(X_550)),X_550) != meet(X_550,X_70)
| meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)) != meet(join(X_70,complement(X_550)),X_550)
| meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)) = meet(X_550,X_70) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)))),bind(Y,$fot(meet(join(X_70,complement(X_550)),X_550))),bind(Z,$fot(meet(X_550,X_70)))]]) ).
cnf(refute_0_2116,plain,
( meet(join(X_70,complement(X_550)),X_550) != meet(X_550,X_70)
| meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)) = meet(X_550,X_70) ),
inference(resolve,[$cnf( $equal(meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)),meet(join(X_70,complement(X_550)),X_550)) )],[refute_0_2114,refute_0_2115]) ).
cnf(refute_0_2117,plain,
meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)) = meet(X_550,X_70),
inference(resolve,[$cnf( $equal(meet(join(X_70,complement(X_550)),X_550),meet(X_550,X_70)) )],[refute_0_2064,refute_0_2116]) ).
cnf(refute_0_2118,plain,
meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(X_70,complement(X_550))) = meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)),
inference(subst,[],[refute_0_1482:[bind(X_47,$fot(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550))),bind(X_48,$fot(join(X_70,complement(X_550))))]]) ).
cnf(refute_0_2119,plain,
( meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)) != meet(X_550,X_70)
| meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(X_70,complement(X_550))) != meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550))
| meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(X_70,complement(X_550))) = meet(X_550,X_70) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(X_70,complement(X_550))))),bind(Y,$fot(meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)))),bind(Z,$fot(meet(X_550,X_70)))]]) ).
cnf(refute_0_2120,plain,
( meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)) != meet(X_550,X_70)
| meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(X_70,complement(X_550))) = meet(X_550,X_70) ),
inference(resolve,[$cnf( $equal(meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(X_70,complement(X_550))),meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550))) )],[refute_0_2118,refute_0_2119]) ).
cnf(refute_0_2121,plain,
meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(X_70,complement(X_550))) = meet(X_550,X_70),
inference(resolve,[$cnf( $equal(meet(join(X_70,complement(X_550)),join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550)),meet(X_550,X_70)) )],[refute_0_2117,refute_0_2120]) ).
cnf(refute_0_2122,plain,
( meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(X_70,complement(X_550))) != meet(X_550,X_70)
| meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(X_70,complement(X_550))) != meet(meet(X_70,X_550),join(X_70,complement(X_550)))
| meet(X_550,X_70) = meet(meet(X_70,X_550),join(X_70,complement(X_550))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(X_70,complement(X_550))),meet(meet(X_70,X_550),join(X_70,complement(X_550)))) ),[0],$fot(meet(X_550,X_70))]]) ).
cnf(refute_0_2123,plain,
( meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(X_70,complement(X_550))) != meet(meet(X_70,X_550),join(X_70,complement(X_550)))
| meet(X_550,X_70) = meet(meet(X_70,X_550),join(X_70,complement(X_550))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(X_70,complement(X_550))),meet(X_550,X_70)) )],[refute_0_2121,refute_0_2122]) ).
cnf(refute_0_2124,plain,
meet(X_550,X_70) = meet(meet(X_70,X_550),join(X_70,complement(X_550))),
inference(resolve,[$cnf( $equal(meet(join(meet(meet(X_70,X_550),join(X_70,complement(X_550))),X_550),join(X_70,complement(X_550))),meet(meet(X_70,X_550),join(X_70,complement(X_550)))) )],[refute_0_1889,refute_0_2123]) ).
cnf(refute_0_2125,plain,
meet(meet(X_70,X_550),join(X_70,complement(X_550))) = meet(X_70,X_550),
inference(subst,[],[refute_0_1627:[bind(X_617,$fot(X_550)),bind(X_618,$fot(X_70)),bind(X_619,$fot(complement(X_550)))]]) ).
cnf(refute_0_2126,plain,
( meet(X_550,X_70) != meet(meet(X_70,X_550),join(X_70,complement(X_550)))
| meet(meet(X_70,X_550),join(X_70,complement(X_550))) != meet(X_70,X_550)
| meet(X_550,X_70) = meet(X_70,X_550) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_550,X_70),meet(X_70,X_550)) ),[0],$fot(meet(meet(X_70,X_550),join(X_70,complement(X_550))))]]) ).
cnf(refute_0_2127,plain,
( meet(X_550,X_70) != meet(meet(X_70,X_550),join(X_70,complement(X_550)))
| meet(X_550,X_70) = meet(X_70,X_550) ),
inference(resolve,[$cnf( $equal(meet(meet(X_70,X_550),join(X_70,complement(X_550))),meet(X_70,X_550)) )],[refute_0_2125,refute_0_2126]) ).
cnf(refute_0_2128,plain,
meet(X_550,X_70) = meet(X_70,X_550),
inference(resolve,[$cnf( $equal(meet(X_550,X_70),meet(meet(X_70,X_550),join(X_70,complement(X_550)))) )],[refute_0_2124,refute_0_2127]) ).
cnf(refute_0_2129,plain,
( meet(X_550,X_70) != meet(X_70,X_550)
| meet(X_70,X_550) = meet(X_550,X_70) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(meet(X_550,X_70))),bind(Y,$fot(meet(X_70,X_550)))]]) ).
cnf(refute_0_2130,plain,
meet(X_70,X_550) = meet(X_550,X_70),
inference(resolve,[$cnf( $equal(meet(X_550,X_70),meet(X_70,X_550)) )],[refute_0_2128,refute_0_2129]) ).
cnf(refute_0_2131,plain,
meet(complement(composition(X_302,top)),top) = meet(top,complement(composition(X_302,top))),
inference(subst,[],[refute_0_2130:[bind(X_550,$fot(top)),bind(X_70,$fot(complement(composition(X_302,top))))]]) ).
cnf(refute_0_2132,plain,
( meet(complement(composition(X_302,top)),top) != meet(top,complement(composition(X_302,top)))
| meet(top,complement(composition(X_302,top))) != complement(composition(X_302,top))
| meet(complement(composition(X_302,top)),top) = complement(composition(X_302,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(composition(X_302,top)),top))),bind(Y,$fot(meet(top,complement(composition(X_302,top))))),bind(Z,$fot(complement(composition(X_302,top))))]]) ).
cnf(refute_0_2133,plain,
( meet(top,complement(composition(X_302,top))) != complement(composition(X_302,top))
| meet(complement(composition(X_302,top)),top) = complement(composition(X_302,top)) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(X_302,top)),top),meet(top,complement(composition(X_302,top)))) )],[refute_0_2131,refute_0_2132]) ).
cnf(refute_0_2134,plain,
meet(complement(composition(X_302,top)),top) = complement(composition(X_302,top)),
inference(resolve,[$cnf( $equal(meet(top,complement(composition(X_302,top))),complement(composition(X_302,top))) )],[refute_0_1882,refute_0_2133]) ).
cnf(refute_0_2135,plain,
( meet(complement(composition(X_302,top)),top) != complement(composition(X_302,top))
| meet(complement(composition(X_302,top)),top) != meet(composition(top,complement(X_302)),complement(composition(X_302,top)))
| complement(composition(X_302,top)) = meet(composition(top,complement(X_302)),complement(composition(X_302,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(X_302,top)),top),meet(composition(top,complement(X_302)),complement(composition(X_302,top)))) ),[0],$fot(complement(composition(X_302,top)))]]) ).
cnf(refute_0_2136,plain,
( meet(complement(composition(X_302,top)),top) != meet(composition(top,complement(X_302)),complement(composition(X_302,top)))
| complement(composition(X_302,top)) = meet(composition(top,complement(X_302)),complement(composition(X_302,top))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(X_302,top)),top),complement(composition(X_302,top))) )],[refute_0_2134,refute_0_2135]) ).
cnf(refute_0_2137,plain,
meet(composition(top,complement(X_302)),complement(composition(X_302,top))) = meet(complement(composition(X_302,top)),composition(top,complement(X_302))),
inference(subst,[],[refute_0_2130:[bind(X_550,$fot(complement(composition(X_302,top)))),bind(X_70,$fot(composition(top,complement(X_302))))]]) ).
cnf(refute_0_2138,plain,
( complement(composition(X_302,top)) != meet(composition(top,complement(X_302)),complement(composition(X_302,top)))
| meet(composition(top,complement(X_302)),complement(composition(X_302,top))) != meet(complement(composition(X_302,top)),composition(top,complement(X_302)))
| complement(composition(X_302,top)) = meet(complement(composition(X_302,top)),composition(top,complement(X_302))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(X_302,top)),meet(complement(composition(X_302,top)),composition(top,complement(X_302)))) ),[0],$fot(meet(composition(top,complement(X_302)),complement(composition(X_302,top))))]]) ).
cnf(refute_0_2139,plain,
( complement(composition(X_302,top)) != meet(composition(top,complement(X_302)),complement(composition(X_302,top)))
| complement(composition(X_302,top)) = meet(complement(composition(X_302,top)),composition(top,complement(X_302))) ),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(X_302)),complement(composition(X_302,top))),meet(complement(composition(X_302,top)),composition(top,complement(X_302)))) )],[refute_0_2137,refute_0_2138]) ).
cnf(refute_0_2140,plain,
( meet(complement(composition(X_302,top)),top) != meet(composition(top,complement(X_302)),complement(composition(X_302,top)))
| complement(composition(X_302,top)) = meet(complement(composition(X_302,top)),composition(top,complement(X_302))) ),
inference(resolve,[$cnf( $equal(complement(composition(X_302,top)),meet(composition(top,complement(X_302)),complement(composition(X_302,top)))) )],[refute_0_2136,refute_0_2139]) ).
cnf(refute_0_2141,plain,
complement(composition(X_302,top)) = meet(complement(composition(X_302,top)),composition(top,complement(X_302))),
inference(resolve,[$cnf( $equal(meet(complement(composition(X_302,top)),top),meet(composition(top,complement(X_302)),complement(composition(X_302,top)))) )],[refute_0_1881,refute_0_2140]) ).
cnf(refute_0_2142,plain,
( complement(composition(X_302,top)) != meet(complement(composition(X_302,top)),composition(top,complement(X_302)))
| meet(complement(composition(X_302,top)),composition(top,complement(X_302))) = complement(composition(X_302,top)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(composition(X_302,top)))),bind(Y,$fot(meet(complement(composition(X_302,top)),composition(top,complement(X_302)))))]]) ).
cnf(refute_0_2143,plain,
meet(complement(composition(X_302,top)),composition(top,complement(X_302))) = complement(composition(X_302,top)),
inference(resolve,[$cnf( $equal(complement(composition(X_302,top)),meet(complement(composition(X_302,top)),composition(top,complement(X_302)))) )],[refute_0_2141,refute_0_2142]) ).
cnf(refute_0_2144,plain,
( join(composition(complement(composition(X_302,top)),top),meet(complement(composition(X_302,top)),composition(top,complement(X_302)))) != composition(complement(composition(X_302,top)),top)
| meet(complement(composition(X_302,top)),composition(top,complement(X_302))) != complement(composition(X_302,top))
| join(composition(complement(composition(X_302,top)),top),complement(composition(X_302,top))) = composition(complement(composition(X_302,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(composition(X_302,top)),top),meet(complement(composition(X_302,top)),composition(top,complement(X_302)))),composition(complement(composition(X_302,top)),top)) ),[0,1],$fot(complement(composition(X_302,top)))]]) ).
cnf(refute_0_2145,plain,
( join(composition(complement(composition(X_302,top)),top),meet(complement(composition(X_302,top)),composition(top,complement(X_302)))) != composition(complement(composition(X_302,top)),top)
| join(composition(complement(composition(X_302,top)),top),complement(composition(X_302,top))) = composition(complement(composition(X_302,top)),top) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(X_302,top)),composition(top,complement(X_302))),complement(composition(X_302,top))) )],[refute_0_2143,refute_0_2144]) ).
cnf(refute_0_2146,plain,
join(composition(complement(composition(X_302,top)),top),complement(composition(X_302,top))) = composition(complement(composition(X_302,top)),top),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(X_302,top)),top),meet(complement(composition(X_302,top)),composition(top,complement(X_302)))),composition(complement(composition(X_302,top)),top)) )],[refute_0_1667,refute_0_2145]) ).
cnf(refute_0_2147,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) = complement(converse(X0)),
inference(subst,[],[refute_0_40:[bind(X0,$fot(converse(X1))),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_2148,plain,
( converse(composition(X0,X1)) != composition(converse(X1),converse(X0))
| composition(converse(X1),converse(X0)) = converse(composition(X0,X1)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(X0,X1)))),bind(Y,$fot(composition(converse(X1),converse(X0))))]]) ).
cnf(refute_0_2149,plain,
composition(converse(X1),converse(X0)) = converse(composition(X0,X1)),
inference(resolve,[$cnf( $equal(converse(composition(X0,X1)),composition(converse(X1),converse(X0))) )],[refute_0_44,refute_0_2148]) ).
cnf(refute_0_2150,plain,
( composition(converse(X1),converse(X0)) != converse(composition(X0,X1))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))),complement(converse(X0))) ),[0,1,1,0],$fot(converse(composition(X0,X1)))]]) ).
cnf(refute_0_2151,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(X0)),converse(composition(X0,X1))) )],[refute_0_2149,refute_0_2150]) ).
cnf(refute_0_2152,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))),complement(converse(X0))) )],[refute_0_2147,refute_0_2151]) ).
cnf(refute_0_2153,plain,
converse(converse(X1)) = X1,
inference(subst,[],[refute_0_46:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_2154,plain,
composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),
introduced(tautology,[refl,[$fot(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))]]) ).
cnf(refute_0_2155,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(converse(converse(X1)),complement(converse(composition(X0,X1))))
| converse(converse(X1)) != X1
| composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_2156,plain,
( converse(converse(X1)) != X1
| composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) )],[refute_0_2154,refute_0_2155]) ).
cnf(refute_0_2157,plain,
composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))),
inference(resolve,[$cnf( $equal(converse(converse(X1)),X1) )],[refute_0_2153,refute_0_2156]) ).
cnf(refute_0_2158,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
introduced(tautology,[refl,[$fot(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))))]]) ).
cnf(refute_0_2159,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(X1,complement(converse(composition(X0,X1))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))) ),[1,1],$fot(composition(X1,complement(converse(composition(X0,X1)))))]]) ).
cnf(refute_0_2160,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(X1,complement(converse(composition(X0,X1))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))) )],[refute_0_2158,refute_0_2159]) ).
cnf(refute_0_2161,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(resolve,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(X1,complement(converse(composition(X0,X1))))) )],[refute_0_2157,refute_0_2160]) ).
cnf(refute_0_2162,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))
| join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),complement(converse(X0))) ),[0],$fot(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))))]]) ).
cnf(refute_0_2163,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))) )],[refute_0_2161,refute_0_2162]) ).
cnf(refute_0_2164,plain,
join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),complement(converse(X0))) )],[refute_0_2152,refute_0_2163]) ).
cnf(refute_0_2165,plain,
join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(composition(converse(composition(X_922,X_923)),complement(composition(X_922,top))))))) = complement(converse(converse(composition(X_922,X_923)))),
inference(subst,[],[refute_0_2164:[bind(X0,$fot(converse(composition(X_922,X_923)))),bind(X1,$fot(complement(composition(X_922,top))))]]) ).
cnf(refute_0_2166,plain,
converse(composition(converse(composition(converse(X_28),X_29)),X_5)) = composition(converse(X_5),composition(converse(X_28),X_29)),
inference(subst,[],[refute_0_49:[bind(X0,$fot(composition(converse(X_28),X_29)))]]) ).
cnf(refute_0_2167,plain,
converse(composition(converse(X_28),X_29)) = composition(converse(X_29),X_28),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_28)),bind(X_5,$fot(X_29))]]) ).
cnf(refute_0_2168,plain,
( converse(composition(converse(X_28),X_29)) != composition(converse(X_29),X_28)
| converse(composition(converse(composition(converse(X_28),X_29)),X_5)) != composition(converse(X_5),composition(converse(X_28),X_29))
| converse(composition(composition(converse(X_29),X_28),X_5)) = composition(converse(X_5),composition(converse(X_28),X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(composition(converse(X_28),X_29)),X_5)),composition(converse(X_5),composition(converse(X_28),X_29))) ),[0,0,0],$fot(composition(converse(X_29),X_28))]]) ).
cnf(refute_0_2169,plain,
( converse(composition(converse(composition(converse(X_28),X_29)),X_5)) != composition(converse(X_5),composition(converse(X_28),X_29))
| converse(composition(composition(converse(X_29),X_28),X_5)) = composition(converse(X_5),composition(converse(X_28),X_29)) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_28),X_29)),composition(converse(X_29),X_28)) )],[refute_0_2167,refute_0_2168]) ).
cnf(refute_0_2170,plain,
converse(composition(composition(converse(X_29),X_28),X_5)) = composition(converse(X_5),composition(converse(X_28),X_29)),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(converse(X_28),X_29)),X_5)),composition(converse(X_5),composition(converse(X_28),X_29))) )],[refute_0_2166,refute_0_2169]) ).
cnf(refute_0_2171,plain,
converse(composition(converse(X_29),composition(X_28,X_5))) = composition(converse(composition(X_28,X_5)),X_29),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_29)),bind(X_5,$fot(composition(X_28,X_5)))]]) ).
cnf(refute_0_2172,plain,
composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_2173,plain,
( composition(X0,composition(X1,X2)) != composition(composition(X0,X1),X2)
| composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(X0,composition(X1,X2)))),bind(Y,$fot(composition(composition(X0,X1),X2)))]]) ).
cnf(refute_0_2174,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,X2)),composition(composition(X0,X1),X2)) )],[refute_0_2172,refute_0_2173]) ).
cnf(refute_0_2175,plain,
composition(composition(converse(X_29),X_28),X_5) = composition(converse(X_29),composition(X_28,X_5)),
inference(subst,[],[refute_0_2174:[bind(X0,$fot(converse(X_29))),bind(X1,$fot(X_28)),bind(X2,$fot(X_5))]]) ).
cnf(refute_0_2176,plain,
converse(composition(composition(converse(X_29),X_28),X_5)) = converse(composition(composition(converse(X_29),X_28),X_5)),
introduced(tautology,[refl,[$fot(converse(composition(composition(converse(X_29),X_28),X_5)))]]) ).
cnf(refute_0_2177,plain,
( composition(composition(converse(X_29),X_28),X_5) != composition(converse(X_29),composition(X_28,X_5))
| converse(composition(composition(converse(X_29),X_28),X_5)) != converse(composition(composition(converse(X_29),X_28),X_5))
| converse(composition(composition(converse(X_29),X_28),X_5)) = converse(composition(converse(X_29),composition(X_28,X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(converse(X_29),X_28),X_5)),converse(composition(composition(converse(X_29),X_28),X_5))) ),[1,0],$fot(composition(converse(X_29),composition(X_28,X_5)))]]) ).
cnf(refute_0_2178,plain,
( composition(composition(converse(X_29),X_28),X_5) != composition(converse(X_29),composition(X_28,X_5))
| converse(composition(composition(converse(X_29),X_28),X_5)) = converse(composition(converse(X_29),composition(X_28,X_5))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_29),X_28),X_5)),converse(composition(composition(converse(X_29),X_28),X_5))) )],[refute_0_2176,refute_0_2177]) ).
cnf(refute_0_2179,plain,
converse(composition(composition(converse(X_29),X_28),X_5)) = converse(composition(converse(X_29),composition(X_28,X_5))),
inference(resolve,[$cnf( $equal(composition(composition(converse(X_29),X_28),X_5),composition(converse(X_29),composition(X_28,X_5))) )],[refute_0_2175,refute_0_2178]) ).
cnf(refute_0_2180,plain,
( converse(composition(composition(converse(X_29),X_28),X_5)) != converse(composition(converse(X_29),composition(X_28,X_5)))
| converse(composition(converse(X_29),composition(X_28,X_5))) != composition(converse(composition(X_28,X_5)),X_29)
| converse(composition(composition(converse(X_29),X_28),X_5)) = composition(converse(composition(X_28,X_5)),X_29) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(composition(converse(X_29),X_28),X_5)))),bind(Y,$fot(converse(composition(converse(X_29),composition(X_28,X_5))))),bind(Z,$fot(composition(converse(composition(X_28,X_5)),X_29)))]]) ).
cnf(refute_0_2181,plain,
( converse(composition(converse(X_29),composition(X_28,X_5))) != composition(converse(composition(X_28,X_5)),X_29)
| converse(composition(composition(converse(X_29),X_28),X_5)) = composition(converse(composition(X_28,X_5)),X_29) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_29),X_28),X_5)),converse(composition(converse(X_29),composition(X_28,X_5)))) )],[refute_0_2179,refute_0_2180]) ).
cnf(refute_0_2182,plain,
converse(composition(composition(converse(X_29),X_28),X_5)) = composition(converse(composition(X_28,X_5)),X_29),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_29),composition(X_28,X_5))),composition(converse(composition(X_28,X_5)),X_29)) )],[refute_0_2171,refute_0_2181]) ).
cnf(refute_0_2183,plain,
( converse(composition(composition(converse(X_29),X_28),X_5)) != composition(converse(X_5),composition(converse(X_28),X_29))
| converse(composition(composition(converse(X_29),X_28),X_5)) != composition(converse(composition(X_28,X_5)),X_29)
| composition(converse(composition(X_28,X_5)),X_29) = composition(converse(X_5),composition(converse(X_28),X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(converse(X_29),X_28),X_5)),composition(converse(X_5),composition(converse(X_28),X_29))) ),[0],$fot(composition(converse(composition(X_28,X_5)),X_29))]]) ).
cnf(refute_0_2184,plain,
( converse(composition(composition(converse(X_29),X_28),X_5)) != composition(converse(X_5),composition(converse(X_28),X_29))
| composition(converse(composition(X_28,X_5)),X_29) = composition(converse(X_5),composition(converse(X_28),X_29)) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_29),X_28),X_5)),composition(converse(composition(X_28,X_5)),X_29)) )],[refute_0_2182,refute_0_2183]) ).
cnf(refute_0_2185,plain,
composition(converse(composition(X_28,X_5)),X_29) = composition(converse(X_5),composition(converse(X_28),X_29)),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_29),X_28),X_5)),composition(converse(X_5),composition(converse(X_28),X_29))) )],[refute_0_2170,refute_0_2184]) ).
cnf(refute_0_2186,plain,
composition(converse(composition(X_666,X_668)),complement(composition(X_666,top))) = composition(converse(X_668),composition(converse(X_666),complement(composition(X_666,top)))),
inference(subst,[],[refute_0_2185:[bind(X_28,$fot(X_666)),bind(X_29,$fot(complement(composition(X_666,top)))),bind(X_5,$fot(X_668))]]) ).
cnf(refute_0_2187,plain,
join(complement(top),composition(converse(X_33),complement(composition(X_33,top)))) = complement(top),
inference(subst,[],[refute_0_40:[bind(X0,$fot(X_33)),bind(X1,$fot(top))]]) ).
cnf(refute_0_2188,plain,
( complement(top) != zero
| join(complement(top),composition(converse(X_33),complement(composition(X_33,top)))) != complement(top)
| join(zero,composition(converse(X_33),complement(composition(X_33,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(X_33),complement(composition(X_33,top)))),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_2189,plain,
( join(complement(top),composition(converse(X_33),complement(composition(X_33,top)))) != complement(top)
| join(zero,composition(converse(X_33),complement(composition(X_33,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_154,refute_0_2188]) ).
cnf(refute_0_2190,plain,
join(zero,composition(converse(X_33),complement(composition(X_33,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(X_33),complement(composition(X_33,top)))),complement(top)) )],[refute_0_2187,refute_0_2189]) ).
cnf(refute_0_2191,plain,
( complement(top) != zero
| join(zero,composition(converse(X_33),complement(composition(X_33,top)))) != complement(top)
| join(zero,composition(converse(X_33),complement(composition(X_33,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_33),complement(composition(X_33,top)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_2192,plain,
( join(zero,composition(converse(X_33),complement(composition(X_33,top)))) != complement(top)
| join(zero,composition(converse(X_33),complement(composition(X_33,top)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_154,refute_0_2191]) ).
cnf(refute_0_2193,plain,
join(zero,composition(converse(X_33),complement(composition(X_33,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_33),complement(composition(X_33,top)))),complement(top)) )],[refute_0_2190,refute_0_2192]) ).
cnf(refute_0_2194,plain,
join(zero,composition(converse(X_33),complement(composition(X_33,top)))) = composition(converse(X_33),complement(composition(X_33,top))),
inference(subst,[],[refute_0_565:[bind(X_39,$fot(composition(converse(X_33),complement(composition(X_33,top)))))]]) ).
cnf(refute_0_2195,plain,
( join(zero,composition(converse(X_33),complement(composition(X_33,top)))) != composition(converse(X_33),complement(composition(X_33,top)))
| join(zero,composition(converse(X_33),complement(composition(X_33,top)))) != zero
| composition(converse(X_33),complement(composition(X_33,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_33),complement(composition(X_33,top)))),zero) ),[0],$fot(composition(converse(X_33),complement(composition(X_33,top))))]]) ).
cnf(refute_0_2196,plain,
( join(zero,composition(converse(X_33),complement(composition(X_33,top)))) != zero
| composition(converse(X_33),complement(composition(X_33,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_33),complement(composition(X_33,top)))),composition(converse(X_33),complement(composition(X_33,top)))) )],[refute_0_2194,refute_0_2195]) ).
cnf(refute_0_2197,plain,
composition(converse(X_33),complement(composition(X_33,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_33),complement(composition(X_33,top)))),zero) )],[refute_0_2193,refute_0_2196]) ).
cnf(refute_0_2198,plain,
composition(converse(X_666),complement(composition(X_666,top))) = zero,
inference(subst,[],[refute_0_2197:[bind(X_33,$fot(X_666))]]) ).
cnf(refute_0_2199,plain,
( composition(converse(X_666),complement(composition(X_666,top))) != zero
| composition(converse(composition(X_666,X_668)),complement(composition(X_666,top))) != composition(converse(X_668),composition(converse(X_666),complement(composition(X_666,top))))
| composition(converse(composition(X_666,X_668)),complement(composition(X_666,top))) = composition(converse(X_668),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_666,X_668)),complement(composition(X_666,top))),composition(converse(X_668),composition(converse(X_666),complement(composition(X_666,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2200,plain,
( composition(converse(composition(X_666,X_668)),complement(composition(X_666,top))) != composition(converse(X_668),composition(converse(X_666),complement(composition(X_666,top))))
| composition(converse(composition(X_666,X_668)),complement(composition(X_666,top))) = composition(converse(X_668),zero) ),
inference(resolve,[$cnf( $equal(composition(converse(X_666),complement(composition(X_666,top))),zero) )],[refute_0_2198,refute_0_2199]) ).
cnf(refute_0_2201,plain,
composition(converse(composition(X_666,X_668)),complement(composition(X_666,top))) = composition(converse(X_668),zero),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_666,X_668)),complement(composition(X_666,top))),composition(converse(X_668),composition(converse(X_666),complement(composition(X_666,top))))) )],[refute_0_2186,refute_0_2200]) ).
cnf(refute_0_2202,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = composition(composition(X0,X1),complement(composition(top,top))),
inference(subst,[],[refute_0_2172:[bind(X2,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_2203,plain,
composition(join(top,X1),complement(composition(top,top))) = join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top)))),
inference(subst,[],[refute_0_1179:[bind(X0,$fot(top)),bind(X2,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_2204,plain,
composition(converse(top),complement(composition(top,top))) = zero,
inference(subst,[],[refute_0_2197:[bind(X_33,$fot(top))]]) ).
cnf(refute_0_2205,plain,
( composition(converse(top),complement(composition(top,top))) != zero
| converse(top) != top
| composition(top,complement(composition(top,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),complement(composition(top,top))),zero) ),[0,0],$fot(top)]]) ).
cnf(refute_0_2206,plain,
( composition(converse(top),complement(composition(top,top))) != zero
| composition(top,complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_719,refute_0_2205]) ).
cnf(refute_0_2207,plain,
composition(top,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(top,top))),zero) )],[refute_0_2204,refute_0_2206]) ).
cnf(refute_0_2208,plain,
( composition(join(top,X1),complement(composition(top,top))) != join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top))))
| composition(top,complement(composition(top,top))) != zero
| composition(join(top,X1),complement(composition(top,top))) = join(zero,composition(X1,complement(composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2209,plain,
( composition(join(top,X1),complement(composition(top,top))) != join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top))))
| composition(join(top,X1),complement(composition(top,top))) = join(zero,composition(X1,complement(composition(top,top)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_2207,refute_0_2208]) ).
cnf(refute_0_2210,plain,
composition(join(top,X1),complement(composition(top,top))) = join(zero,composition(X1,complement(composition(top,top)))),
inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top))))) )],[refute_0_2203,refute_0_2209]) ).
cnf(refute_0_2211,plain,
composition(join(top,X1),complement(composition(top,top))) = composition(join(top,X1),complement(composition(top,top))),
introduced(tautology,[refl,[$fot(composition(join(top,X1),complement(composition(top,top))))]]) ).
cnf(refute_0_2212,plain,
( composition(join(top,X1),complement(composition(top,top))) != composition(join(top,X1),complement(composition(top,top)))
| join(top,X1) != top
| composition(join(top,X1),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),composition(join(top,X1),complement(composition(top,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2213,plain,
( join(top,X1) != top
| composition(join(top,X1),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),composition(join(top,X1),complement(composition(top,top)))) )],[refute_0_2211,refute_0_2212]) ).
cnf(refute_0_2214,plain,
composition(join(top,X1),complement(composition(top,top))) = composition(top,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(join(top,X1),top) )],[refute_0_836,refute_0_2213]) ).
cnf(refute_0_2215,plain,
( composition(join(top,X1),complement(composition(top,top))) != composition(top,complement(composition(top,top)))
| composition(top,complement(composition(top,top))) != zero
| composition(join(top,X1),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(top,X1),complement(composition(top,top))))),bind(Y,$fot(composition(top,complement(composition(top,top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2216,plain,
( composition(top,complement(composition(top,top))) != zero
| composition(join(top,X1),complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),composition(top,complement(composition(top,top)))) )],[refute_0_2214,refute_0_2215]) ).
cnf(refute_0_2217,plain,
composition(join(top,X1),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_2207,refute_0_2216]) ).
cnf(refute_0_2218,plain,
( composition(join(top,X1),complement(composition(top,top))) != join(zero,composition(X1,complement(composition(top,top))))
| composition(join(top,X1),complement(composition(top,top))) != zero
| zero = join(zero,composition(X1,complement(composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),join(zero,composition(X1,complement(composition(top,top))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_2219,plain,
( composition(join(top,X1),complement(composition(top,top))) != join(zero,composition(X1,complement(composition(top,top))))
| zero = join(zero,composition(X1,complement(composition(top,top)))) ),
inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),zero) )],[refute_0_2217,refute_0_2218]) ).
cnf(refute_0_2220,plain,
join(zero,composition(X1,complement(composition(top,top)))) = composition(X1,complement(composition(top,top))),
inference(subst,[],[refute_0_565:[bind(X_39,$fot(composition(X1,complement(composition(top,top)))))]]) ).
cnf(refute_0_2221,plain,
( join(zero,composition(X1,complement(composition(top,top)))) != composition(X1,complement(composition(top,top)))
| zero != join(zero,composition(X1,complement(composition(top,top))))
| zero = composition(X1,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,composition(X1,complement(composition(top,top))))) ),[1],$fot(composition(X1,complement(composition(top,top))))]]) ).
cnf(refute_0_2222,plain,
( zero != join(zero,composition(X1,complement(composition(top,top))))
| zero = composition(X1,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X1,complement(composition(top,top)))),composition(X1,complement(composition(top,top)))) )],[refute_0_2220,refute_0_2221]) ).
cnf(refute_0_2223,plain,
( composition(join(top,X1),complement(composition(top,top))) != join(zero,composition(X1,complement(composition(top,top))))
| zero = composition(X1,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(zero,join(zero,composition(X1,complement(composition(top,top))))) )],[refute_0_2219,refute_0_2222]) ).
cnf(refute_0_2224,plain,
zero = composition(X1,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),join(zero,composition(X1,complement(composition(top,top))))) )],[refute_0_2210,refute_0_2223]) ).
cnf(refute_0_2225,plain,
zero = composition(composition(X0,X1),complement(composition(top,top))),
inference(subst,[],[refute_0_2224:[bind(X1,$fot(composition(X0,X1)))]]) ).
cnf(refute_0_2226,plain,
( zero != composition(composition(X0,X1),complement(composition(top,top)))
| composition(composition(X0,X1),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(composition(composition(X0,X1),complement(composition(top,top)))))]]) ).
cnf(refute_0_2227,plain,
composition(composition(X0,X1),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(composition(X0,X1),complement(composition(top,top)))) )],[refute_0_2225,refute_0_2226]) ).
cnf(refute_0_2228,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(composition(X0,X1),complement(composition(top,top)))
| composition(composition(X0,X1),complement(composition(top,top))) != zero
| composition(X0,composition(X1,complement(composition(top,top)))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X0,composition(X1,complement(composition(top,top)))),zero) ),[0],$fot(composition(composition(X0,X1),complement(composition(top,top))))]]) ).
cnf(refute_0_2229,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(composition(X0,X1),complement(composition(top,top)))
| composition(X0,composition(X1,complement(composition(top,top)))) = zero ),
inference(resolve,[$cnf( $equal(composition(composition(X0,X1),complement(composition(top,top))),zero) )],[refute_0_2227,refute_0_2228]) ).
cnf(refute_0_2230,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = zero,
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(composition(X0,X1),complement(composition(top,top)))) )],[refute_0_2202,refute_0_2229]) ).
cnf(refute_0_2231,plain,
( zero != composition(X1,complement(composition(top,top)))
| composition(X1,complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(composition(X1,complement(composition(top,top)))))]]) ).
cnf(refute_0_2232,plain,
composition(X1,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(X1,complement(composition(top,top)))) )],[refute_0_2224,refute_0_2231]) ).
cnf(refute_0_2233,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,composition(X1,complement(composition(top,top)))),
introduced(tautology,[refl,[$fot(composition(X0,composition(X1,complement(composition(top,top)))))]]) ).
cnf(refute_0_2234,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(X0,composition(X1,complement(composition(top,top))))
| composition(X1,complement(composition(top,top))) != zero
| composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(X0,composition(X1,complement(composition(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2235,plain,
( composition(X1,complement(composition(top,top))) != zero
| composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,zero) ),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(X0,composition(X1,complement(composition(top,top))))) )],[refute_0_2233,refute_0_2234]) ).
cnf(refute_0_2236,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,zero),
inference(resolve,[$cnf( $equal(composition(X1,complement(composition(top,top))),zero) )],[refute_0_2232,refute_0_2235]) ).
cnf(refute_0_2237,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(X0,zero)
| composition(X0,composition(X1,complement(composition(top,top)))) != zero
| composition(X0,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),zero) ),[0],$fot(composition(X0,zero))]]) ).
cnf(refute_0_2238,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != zero
| composition(X0,zero) = zero ),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(X0,zero)) )],[refute_0_2236,refute_0_2237]) ).
cnf(refute_0_2239,plain,
composition(X0,zero) = zero,
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),zero) )],[refute_0_2230,refute_0_2238]) ).
cnf(refute_0_2240,plain,
composition(converse(X_668),zero) = zero,
inference(subst,[],[refute_0_2239:[bind(X0,$fot(converse(X_668)))]]) ).
cnf(refute_0_2241,plain,
( composition(converse(X_668),zero) != zero
| composition(converse(composition(X_666,X_668)),complement(composition(X_666,top))) != composition(converse(X_668),zero)
| composition(converse(composition(X_666,X_668)),complement(composition(X_666,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_666,X_668)),complement(composition(X_666,top))),composition(converse(X_668),zero)) ),[1],$fot(zero)]]) ).
cnf(refute_0_2242,plain,
( composition(converse(composition(X_666,X_668)),complement(composition(X_666,top))) != composition(converse(X_668),zero)
| composition(converse(composition(X_666,X_668)),complement(composition(X_666,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(X_668),zero),zero) )],[refute_0_2240,refute_0_2241]) ).
cnf(refute_0_2243,plain,
composition(converse(composition(X_666,X_668)),complement(composition(X_666,top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(X_666,X_668)),complement(composition(X_666,top))),composition(converse(X_668),zero)) )],[refute_0_2201,refute_0_2242]) ).
cnf(refute_0_2244,plain,
composition(converse(composition(X_922,X_923)),complement(composition(X_922,top))) = zero,
inference(subst,[],[refute_0_2243:[bind(X_666,$fot(X_922)),bind(X_668,$fot(X_923))]]) ).
cnf(refute_0_2245,plain,
( composition(converse(composition(X_922,X_923)),complement(composition(X_922,top))) != zero
| join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(composition(converse(composition(X_922,X_923)),complement(composition(X_922,top))))))) != complement(converse(converse(composition(X_922,X_923))))
| join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))) = complement(converse(converse(composition(X_922,X_923)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(composition(converse(composition(X_922,X_923)),complement(composition(X_922,top))))))),complement(converse(converse(composition(X_922,X_923))))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_2246,plain,
( join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(composition(converse(composition(X_922,X_923)),complement(composition(X_922,top))))))) != complement(converse(converse(composition(X_922,X_923))))
| join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))) = complement(converse(converse(composition(X_922,X_923)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_922,X_923)),complement(composition(X_922,top))),zero) )],[refute_0_2244,refute_0_2245]) ).
cnf(refute_0_2247,plain,
join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))) = complement(converse(converse(composition(X_922,X_923)))),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(composition(converse(composition(X_922,X_923)),complement(composition(X_922,top))))))),complement(converse(converse(composition(X_922,X_923))))) )],[refute_0_2165,refute_0_2246]) ).
cnf(refute_0_2248,plain,
composition(complement(composition(X_922,top)),complement(converse(zero))) = composition(complement(composition(X_922,top)),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(composition(X_922,top)),complement(converse(zero))))]]) ).
cnf(refute_0_2249,plain,
( complement(converse(zero)) != top
| composition(complement(composition(X_922,top)),complement(converse(zero))) != composition(complement(composition(X_922,top)),complement(converse(zero)))
| composition(complement(composition(X_922,top)),complement(converse(zero))) = composition(complement(composition(X_922,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(X_922,top)),complement(converse(zero))),composition(complement(composition(X_922,top)),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2250,plain,
( complement(converse(zero)) != top
| composition(complement(composition(X_922,top)),complement(converse(zero))) = composition(complement(composition(X_922,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_922,top)),complement(converse(zero))),composition(complement(composition(X_922,top)),complement(converse(zero)))) )],[refute_0_2248,refute_0_2249]) ).
cnf(refute_0_2251,plain,
composition(complement(composition(X_922,top)),complement(converse(zero))) = composition(complement(composition(X_922,top)),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_556,refute_0_2250]) ).
cnf(refute_0_2252,plain,
join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero)))) = join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero)))))]]) ).
cnf(refute_0_2253,plain,
( composition(complement(composition(X_922,top)),complement(converse(zero))) != composition(complement(composition(X_922,top)),top)
| join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero)))) != join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero))))
| join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero)))) = join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero)))),join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero))))) ),[1,1],$fot(composition(complement(composition(X_922,top)),top))]]) ).
cnf(refute_0_2254,plain,
( composition(complement(composition(X_922,top)),complement(converse(zero))) != composition(complement(composition(X_922,top)),top)
| join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero)))) = join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero)))),join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero))))) )],[refute_0_2252,refute_0_2253]) ).
cnf(refute_0_2255,plain,
join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero)))) = join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_922,top)),complement(converse(zero))),composition(complement(composition(X_922,top)),top)) )],[refute_0_2251,refute_0_2254]) ).
cnf(refute_0_2256,plain,
converse(converse(composition(X_922,X_923))) = composition(X_922,X_923),
inference(subst,[],[refute_0_46:[bind(X0,$fot(composition(X_922,X_923)))]]) ).
cnf(refute_0_2257,plain,
complement(converse(converse(composition(X_922,X_923)))) = complement(converse(converse(composition(X_922,X_923)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(X_922,X_923)))))]]) ).
cnf(refute_0_2258,plain,
( complement(converse(converse(composition(X_922,X_923)))) != complement(converse(converse(composition(X_922,X_923))))
| converse(converse(composition(X_922,X_923))) != composition(X_922,X_923)
| complement(converse(converse(composition(X_922,X_923)))) = complement(composition(X_922,X_923)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(X_922,X_923)))),complement(converse(converse(composition(X_922,X_923))))) ),[1,0],$fot(composition(X_922,X_923))]]) ).
cnf(refute_0_2259,plain,
( converse(converse(composition(X_922,X_923))) != composition(X_922,X_923)
| complement(converse(converse(composition(X_922,X_923)))) = complement(composition(X_922,X_923)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(X_922,X_923)))),complement(converse(converse(composition(X_922,X_923))))) )],[refute_0_2257,refute_0_2258]) ).
cnf(refute_0_2260,plain,
complement(converse(converse(composition(X_922,X_923)))) = complement(composition(X_922,X_923)),
inference(resolve,[$cnf( $equal(converse(converse(composition(X_922,X_923))),composition(X_922,X_923)) )],[refute_0_2256,refute_0_2259]) ).
cnf(refute_0_2261,plain,
join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))) = join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))))]]) ).
cnf(refute_0_2262,plain,
( complement(converse(converse(composition(X_922,X_923)))) != complement(composition(X_922,X_923))
| join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))) != join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero))))
| join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))) = join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))),join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero))))) ),[1,0],$fot(complement(composition(X_922,X_923)))]]) ).
cnf(refute_0_2263,plain,
( complement(converse(converse(composition(X_922,X_923)))) != complement(composition(X_922,X_923))
| join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))) = join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))),join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero))))) )],[refute_0_2261,refute_0_2262]) ).
cnf(refute_0_2264,plain,
join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))) = join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero)))),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(X_922,X_923)))),complement(composition(X_922,X_923))) )],[refute_0_2260,refute_0_2263]) ).
cnf(refute_0_2265,plain,
( join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero)))) != join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top))
| join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))) != join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero))))
| join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))) = join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))))),bind(Y,$fot(join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero)))))),bind(Z,$fot(join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top))))]]) ).
cnf(refute_0_2266,plain,
( join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero)))) != join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top))
| join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))) = join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))),join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero))))) )],[refute_0_2264,refute_0_2265]) ).
cnf(refute_0_2267,plain,
join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))) = join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top)),
inference(resolve,[$cnf( $equal(join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),complement(converse(zero)))),join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top))) )],[refute_0_2255,refute_0_2266]) ).
cnf(refute_0_2268,plain,
( join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))) != complement(converse(converse(composition(X_922,X_923))))
| join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))) != join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top))
| join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top)) = complement(converse(converse(composition(X_922,X_923)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))),complement(converse(converse(composition(X_922,X_923))))) ),[0],$fot(join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top)))]]) ).
cnf(refute_0_2269,plain,
( join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))) != complement(converse(converse(composition(X_922,X_923))))
| join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top)) = complement(converse(converse(composition(X_922,X_923)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))),join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top))) )],[refute_0_2267,refute_0_2268]) ).
cnf(refute_0_2270,plain,
( complement(converse(converse(composition(X_922,X_923)))) != complement(composition(X_922,X_923))
| join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top)) != complement(converse(converse(composition(X_922,X_923))))
| join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top)) = complement(composition(X_922,X_923)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top)),complement(converse(converse(composition(X_922,X_923))))) ),[1],$fot(complement(composition(X_922,X_923)))]]) ).
cnf(refute_0_2271,plain,
( join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top)) != complement(converse(converse(composition(X_922,X_923))))
| join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top)) = complement(composition(X_922,X_923)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(X_922,X_923)))),complement(composition(X_922,X_923))) )],[refute_0_2260,refute_0_2270]) ).
cnf(refute_0_2272,plain,
( join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))) != complement(converse(converse(composition(X_922,X_923))))
| join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top)) = complement(composition(X_922,X_923)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top)),complement(converse(converse(composition(X_922,X_923))))) )],[refute_0_2269,refute_0_2271]) ).
cnf(refute_0_2273,plain,
join(complement(composition(X_922,X_923)),composition(complement(composition(X_922,top)),top)) = complement(composition(X_922,X_923)),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(X_922,X_923)))),composition(complement(composition(X_922,top)),complement(converse(zero)))),complement(converse(converse(composition(X_922,X_923))))) )],[refute_0_2247,refute_0_2272]) ).
cnf(refute_0_2274,plain,
join(complement(composition(X_302,top)),composition(complement(composition(X_302,top)),top)) = complement(composition(X_302,top)),
inference(subst,[],[refute_0_2273:[bind(X_922,$fot(X_302)),bind(X_923,$fot(top))]]) ).
cnf(refute_0_2275,plain,
join(X_260,join(X_261,composition(complement(composition(complement(X_261),top)),top))) = join(X_261,join(X_260,composition(complement(composition(complement(X_261),top)),top))),
inference(subst,[],[refute_0_414:[bind(X_80,$fot(X_260)),bind(X_81,$fot(X_261)),bind(X_82,$fot(composition(complement(composition(complement(X_261),top)),top)))]]) ).
cnf(refute_0_2276,plain,
join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(composition(converse(complement(composition(X1,top))),X1)))) = complement(X1),
inference(subst,[],[refute_0_40:[bind(X0,$fot(converse(complement(composition(X1,top)))))]]) ).
cnf(refute_0_2277,plain,
converse(composition(converse(X_85),complement(composition(X_85,top)))) = composition(converse(complement(composition(X_85,top))),converse(converse(X_85))),
inference(subst,[],[refute_0_44:[bind(X0,$fot(converse(X_85))),bind(X1,$fot(complement(composition(X_85,top))))]]) ).
cnf(refute_0_2278,plain,
composition(converse(X_85),complement(composition(X_85,top))) = zero,
inference(subst,[],[refute_0_2197:[bind(X_33,$fot(X_85))]]) ).
cnf(refute_0_2279,plain,
( composition(converse(X_85),complement(composition(X_85,top))) != zero
| converse(composition(converse(X_85),complement(composition(X_85,top)))) != composition(converse(complement(composition(X_85,top))),converse(converse(X_85)))
| converse(zero) = composition(converse(complement(composition(X_85,top))),converse(converse(X_85))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_85),complement(composition(X_85,top)))),composition(converse(complement(composition(X_85,top))),converse(converse(X_85)))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_2280,plain,
( converse(composition(converse(X_85),complement(composition(X_85,top)))) != composition(converse(complement(composition(X_85,top))),converse(converse(X_85)))
| converse(zero) = composition(converse(complement(composition(X_85,top))),converse(converse(X_85))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_85),complement(composition(X_85,top))),zero) )],[refute_0_2278,refute_0_2279]) ).
cnf(refute_0_2281,plain,
converse(zero) = composition(converse(complement(composition(X_85,top))),converse(converse(X_85))),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_85),complement(composition(X_85,top)))),composition(converse(complement(composition(X_85,top))),converse(converse(X_85)))) )],[refute_0_2277,refute_0_2280]) ).
cnf(refute_0_2282,plain,
( converse(zero) != composition(converse(complement(composition(X_85,top))),converse(converse(X_85)))
| converse(zero) != zero
| zero = composition(converse(complement(composition(X_85,top))),converse(converse(X_85))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_85,top))),converse(converse(X_85)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_2283,plain,
( converse(zero) != composition(converse(complement(composition(X_85,top))),converse(converse(X_85)))
| zero = composition(converse(complement(composition(X_85,top))),converse(converse(X_85))) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_605,refute_0_2282]) ).
cnf(refute_0_2284,plain,
converse(composition(converse(X_85),complement(composition(X_85,top)))) = composition(converse(complement(composition(X_85,top))),X_85),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_85)),bind(X_5,$fot(complement(composition(X_85,top))))]]) ).
cnf(refute_0_2285,plain,
composition(converse(complement(composition(X_85,top))),converse(converse(X_85))) = converse(composition(converse(X_85),complement(composition(X_85,top)))),
inference(subst,[],[refute_0_2149:[bind(X0,$fot(converse(X_85))),bind(X1,$fot(complement(composition(X_85,top))))]]) ).
cnf(refute_0_2286,plain,
( composition(converse(complement(composition(X_85,top))),converse(converse(X_85))) != converse(composition(converse(X_85),complement(composition(X_85,top))))
| converse(composition(converse(X_85),complement(composition(X_85,top)))) != composition(converse(complement(composition(X_85,top))),X_85)
| composition(converse(complement(composition(X_85,top))),converse(converse(X_85))) = composition(converse(complement(composition(X_85,top))),X_85) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(composition(X_85,top))),converse(converse(X_85))))),bind(Y,$fot(converse(composition(converse(X_85),complement(composition(X_85,top)))))),bind(Z,$fot(composition(converse(complement(composition(X_85,top))),X_85)))]]) ).
cnf(refute_0_2287,plain,
( converse(composition(converse(X_85),complement(composition(X_85,top)))) != composition(converse(complement(composition(X_85,top))),X_85)
| composition(converse(complement(composition(X_85,top))),converse(converse(X_85))) = composition(converse(complement(composition(X_85,top))),X_85) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_85,top))),converse(converse(X_85))),converse(composition(converse(X_85),complement(composition(X_85,top))))) )],[refute_0_2285,refute_0_2286]) ).
cnf(refute_0_2288,plain,
composition(converse(complement(composition(X_85,top))),converse(converse(X_85))) = composition(converse(complement(composition(X_85,top))),X_85),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_85),complement(composition(X_85,top)))),composition(converse(complement(composition(X_85,top))),X_85)) )],[refute_0_2284,refute_0_2287]) ).
cnf(refute_0_2289,plain,
( composition(converse(complement(composition(X_85,top))),converse(converse(X_85))) != composition(converse(complement(composition(X_85,top))),X_85)
| zero != composition(converse(complement(composition(X_85,top))),converse(converse(X_85)))
| zero = composition(converse(complement(composition(X_85,top))),X_85) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(X_85,top))),converse(converse(X_85)))) ),[1],$fot(composition(converse(complement(composition(X_85,top))),X_85))]]) ).
cnf(refute_0_2290,plain,
( zero != composition(converse(complement(composition(X_85,top))),converse(converse(X_85)))
| zero = composition(converse(complement(composition(X_85,top))),X_85) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_85,top))),converse(converse(X_85))),composition(converse(complement(composition(X_85,top))),X_85)) )],[refute_0_2288,refute_0_2289]) ).
cnf(refute_0_2291,plain,
( converse(zero) != composition(converse(complement(composition(X_85,top))),converse(converse(X_85)))
| zero = composition(converse(complement(composition(X_85,top))),X_85) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_85,top))),converse(converse(X_85)))) )],[refute_0_2283,refute_0_2290]) ).
cnf(refute_0_2292,plain,
zero = composition(converse(complement(composition(X_85,top))),X_85),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_85,top))),converse(converse(X_85)))) )],[refute_0_2281,refute_0_2291]) ).
cnf(refute_0_2293,plain,
zero = composition(converse(complement(composition(X1,top))),X1),
inference(subst,[],[refute_0_2292:[bind(X_85,$fot(X1))]]) ).
cnf(refute_0_2294,plain,
( zero != composition(converse(complement(composition(X1,top))),X1)
| composition(converse(complement(composition(X1,top))),X1) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(X1,top))),X1)))]]) ).
cnf(refute_0_2295,plain,
composition(converse(complement(composition(X1,top))),X1) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X1,top))),X1)) )],[refute_0_2293,refute_0_2294]) ).
cnf(refute_0_2296,plain,
( composition(converse(complement(composition(X1,top))),X1) != zero
| join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(composition(converse(complement(composition(X1,top))),X1)))) != complement(X1)
| join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(composition(converse(complement(composition(X1,top))),X1)))),complement(X1)) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_2297,plain,
( join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(composition(converse(complement(composition(X1,top))),X1)))) != complement(X1)
| join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) = complement(X1) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X1,top))),X1),zero) )],[refute_0_2295,refute_0_2296]) ).
cnf(refute_0_2298,plain,
join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(composition(converse(complement(composition(X1,top))),X1)))),complement(X1)) )],[refute_0_2276,refute_0_2297]) ).
cnf(refute_0_2299,plain,
composition(complement(composition(X1,top)),complement(zero)) = composition(complement(composition(X1,top)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(X1,top)),complement(zero)))]]) ).
cnf(refute_0_2300,plain,
( complement(zero) != top
| composition(complement(composition(X1,top)),complement(zero)) != composition(complement(composition(X1,top)),complement(zero))
| composition(complement(composition(X1,top)),complement(zero)) = composition(complement(composition(X1,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(X1,top)),complement(zero)),composition(complement(composition(X1,top)),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2301,plain,
( complement(zero) != top
| composition(complement(composition(X1,top)),complement(zero)) = composition(complement(composition(X1,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(X1,top)),complement(zero)),composition(complement(composition(X1,top)),complement(zero))) )],[refute_0_2299,refute_0_2300]) ).
cnf(refute_0_2302,plain,
composition(complement(composition(X1,top)),complement(zero)) = composition(complement(composition(X1,top)),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_252,refute_0_2301]) ).
cnf(refute_0_2303,plain,
converse(converse(complement(composition(X1,top)))) = complement(composition(X1,top)),
inference(subst,[],[refute_0_46:[bind(X0,$fot(complement(composition(X1,top))))]]) ).
cnf(refute_0_2304,plain,
composition(converse(converse(complement(composition(X1,top)))),complement(zero)) = composition(converse(converse(complement(composition(X1,top)))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(converse(complement(composition(X1,top)))),complement(zero)))]]) ).
cnf(refute_0_2305,plain,
( composition(converse(converse(complement(composition(X1,top)))),complement(zero)) != composition(converse(converse(complement(composition(X1,top)))),complement(zero))
| converse(converse(complement(composition(X1,top)))) != complement(composition(X1,top))
| composition(converse(converse(complement(composition(X1,top)))),complement(zero)) = composition(complement(composition(X1,top)),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(complement(composition(X1,top)))),complement(zero)),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) ),[1,0],$fot(complement(composition(X1,top)))]]) ).
cnf(refute_0_2306,plain,
( converse(converse(complement(composition(X1,top)))) != complement(composition(X1,top))
| composition(converse(converse(complement(composition(X1,top)))),complement(zero)) = composition(complement(composition(X1,top)),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(X1,top)))),complement(zero)),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) )],[refute_0_2304,refute_0_2305]) ).
cnf(refute_0_2307,plain,
composition(converse(converse(complement(composition(X1,top)))),complement(zero)) = composition(complement(composition(X1,top)),complement(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(composition(X1,top)))),complement(composition(X1,top))) )],[refute_0_2303,refute_0_2306]) ).
cnf(refute_0_2308,plain,
( composition(complement(composition(X1,top)),complement(zero)) != composition(complement(composition(X1,top)),top)
| composition(converse(converse(complement(composition(X1,top)))),complement(zero)) != composition(complement(composition(X1,top)),complement(zero))
| composition(converse(converse(complement(composition(X1,top)))),complement(zero)) = composition(complement(composition(X1,top)),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(converse(complement(composition(X1,top)))),complement(zero)))),bind(Y,$fot(composition(complement(composition(X1,top)),complement(zero)))),bind(Z,$fot(composition(complement(composition(X1,top)),top)))]]) ).
cnf(refute_0_2309,plain,
( composition(complement(composition(X1,top)),complement(zero)) != composition(complement(composition(X1,top)),top)
| composition(converse(converse(complement(composition(X1,top)))),complement(zero)) = composition(complement(composition(X1,top)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(X1,top)))),complement(zero)),composition(complement(composition(X1,top)),complement(zero))) )],[refute_0_2307,refute_0_2308]) ).
cnf(refute_0_2310,plain,
composition(converse(converse(complement(composition(X1,top)))),complement(zero)) = composition(complement(composition(X1,top)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(X1,top)),complement(zero)),composition(complement(composition(X1,top)),top)) )],[refute_0_2302,refute_0_2309]) ).
cnf(refute_0_2311,plain,
join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) = join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))))]]) ).
cnf(refute_0_2312,plain,
( composition(converse(converse(complement(composition(X1,top)))),complement(zero)) != composition(complement(composition(X1,top)),top)
| join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) != join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero)))
| join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) = join(complement(X1),composition(complement(composition(X1,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))),join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero)))) ),[1,1],$fot(composition(complement(composition(X1,top)),top))]]) ).
cnf(refute_0_2313,plain,
( composition(converse(converse(complement(composition(X1,top)))),complement(zero)) != composition(complement(composition(X1,top)),top)
| join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) = join(complement(X1),composition(complement(composition(X1,top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))),join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero)))) )],[refute_0_2311,refute_0_2312]) ).
cnf(refute_0_2314,plain,
join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) = join(complement(X1),composition(complement(composition(X1,top)),top)),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(X1,top)))),complement(zero)),composition(complement(composition(X1,top)),top)) )],[refute_0_2310,refute_0_2313]) ).
cnf(refute_0_2315,plain,
( join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) != complement(X1)
| join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) != join(complement(X1),composition(complement(composition(X1,top)),top))
| join(complement(X1),composition(complement(composition(X1,top)),top)) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))),complement(X1)) ),[0],$fot(join(complement(X1),composition(complement(composition(X1,top)),top)))]]) ).
cnf(refute_0_2316,plain,
( join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))) != complement(X1)
| join(complement(X1),composition(complement(composition(X1,top)),top)) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))),join(complement(X1),composition(complement(composition(X1,top)),top))) )],[refute_0_2314,refute_0_2315]) ).
cnf(refute_0_2317,plain,
join(complement(X1),composition(complement(composition(X1,top)),top)) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(complement(composition(X1,top)))),complement(zero))),complement(X1)) )],[refute_0_2298,refute_0_2316]) ).
cnf(refute_0_2318,plain,
join(complement(complement(X_39)),composition(complement(composition(complement(X_39),top)),top)) = complement(complement(X_39)),
inference(subst,[],[refute_0_2317:[bind(X1,$fot(complement(X_39)))]]) ).
cnf(refute_0_2319,plain,
( complement(complement(X_39)) != X_39
| join(complement(complement(X_39)),composition(complement(composition(complement(X_39),top)),top)) != complement(complement(X_39))
| join(X_39,composition(complement(composition(complement(X_39),top)),top)) = complement(complement(X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_39)),composition(complement(composition(complement(X_39),top)),top)),complement(complement(X_39))) ),[0,0],$fot(X_39)]]) ).
cnf(refute_0_2320,plain,
( join(complement(complement(X_39)),composition(complement(composition(complement(X_39),top)),top)) != complement(complement(X_39))
| join(X_39,composition(complement(composition(complement(X_39),top)),top)) = complement(complement(X_39)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_39)),X_39) )],[refute_0_340,refute_0_2319]) ).
cnf(refute_0_2321,plain,
join(X_39,composition(complement(composition(complement(X_39),top)),top)) = complement(complement(X_39)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_39)),composition(complement(composition(complement(X_39),top)),top)),complement(complement(X_39))) )],[refute_0_2318,refute_0_2320]) ).
cnf(refute_0_2322,plain,
( complement(complement(X_39)) != X_39
| join(X_39,composition(complement(composition(complement(X_39),top)),top)) != complement(complement(X_39))
| join(X_39,composition(complement(composition(complement(X_39),top)),top)) = X_39 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_39,composition(complement(composition(complement(X_39),top)),top)),complement(complement(X_39))) ),[1],$fot(X_39)]]) ).
cnf(refute_0_2323,plain,
( join(X_39,composition(complement(composition(complement(X_39),top)),top)) != complement(complement(X_39))
| join(X_39,composition(complement(composition(complement(X_39),top)),top)) = X_39 ),
inference(resolve,[$cnf( $equal(complement(complement(X_39)),X_39) )],[refute_0_340,refute_0_2322]) ).
cnf(refute_0_2324,plain,
join(X_39,composition(complement(composition(complement(X_39),top)),top)) = X_39,
inference(resolve,[$cnf( $equal(join(X_39,composition(complement(composition(complement(X_39),top)),top)),complement(complement(X_39))) )],[refute_0_2321,refute_0_2323]) ).
cnf(refute_0_2325,plain,
join(X_261,composition(complement(composition(complement(X_261),top)),top)) = X_261,
inference(subst,[],[refute_0_2324:[bind(X_39,$fot(X_261))]]) ).
cnf(refute_0_2326,plain,
( join(X_260,join(X_261,composition(complement(composition(complement(X_261),top)),top))) != join(X_261,join(X_260,composition(complement(composition(complement(X_261),top)),top)))
| join(X_261,composition(complement(composition(complement(X_261),top)),top)) != X_261
| join(X_260,X_261) = join(X_261,join(X_260,composition(complement(composition(complement(X_261),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_260,join(X_261,composition(complement(composition(complement(X_261),top)),top))),join(X_261,join(X_260,composition(complement(composition(complement(X_261),top)),top)))) ),[0,1],$fot(X_261)]]) ).
cnf(refute_0_2327,plain,
( join(X_260,join(X_261,composition(complement(composition(complement(X_261),top)),top))) != join(X_261,join(X_260,composition(complement(composition(complement(X_261),top)),top)))
| join(X_260,X_261) = join(X_261,join(X_260,composition(complement(composition(complement(X_261),top)),top))) ),
inference(resolve,[$cnf( $equal(join(X_261,composition(complement(composition(complement(X_261),top)),top)),X_261) )],[refute_0_2325,refute_0_2326]) ).
cnf(refute_0_2328,plain,
join(X_260,X_261) = join(X_261,join(X_260,composition(complement(composition(complement(X_261),top)),top))),
inference(resolve,[$cnf( $equal(join(X_260,join(X_261,composition(complement(composition(complement(X_261),top)),top))),join(X_261,join(X_260,composition(complement(composition(complement(X_261),top)),top)))) )],[refute_0_2275,refute_0_2327]) ).
cnf(refute_0_2329,plain,
join(X_755,complement(join(X_297,X_755))) = join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),
inference(subst,[],[refute_0_2328:[bind(X_260,$fot(X_755)),bind(X_261,$fot(complement(join(X_297,X_755))))]]) ).
cnf(refute_0_2330,plain,
join(complement(X_297),X_755) = join(X_755,complement(join(X_297,X_755))),
inference(subst,[],[refute_0_1973:[bind(X_298,$fot(X_755))]]) ).
cnf(refute_0_2331,plain,
( join(complement(X_297),X_755) != join(X_755,complement(join(X_297,X_755)))
| join(X_755,complement(join(X_297,X_755))) = join(complement(X_297),X_755) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(complement(X_297),X_755))),bind(Y,$fot(join(X_755,complement(join(X_297,X_755)))))]]) ).
cnf(refute_0_2332,plain,
join(X_755,complement(join(X_297,X_755))) = join(complement(X_297),X_755),
inference(resolve,[$cnf( $equal(join(complement(X_297),X_755),join(X_755,complement(join(X_297,X_755)))) )],[refute_0_2330,refute_0_2331]) ).
cnf(refute_0_2333,plain,
( join(X_755,complement(join(X_297,X_755))) != join(complement(X_297),X_755)
| join(X_755,complement(join(X_297,X_755))) != join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))
| join(complement(X_297),X_755) = join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_755,complement(join(X_297,X_755))),join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))) ),[0],$fot(join(complement(X_297),X_755))]]) ).
cnf(refute_0_2334,plain,
( join(X_755,complement(join(X_297,X_755))) != join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))
| join(complement(X_297),X_755) = join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) ),
inference(resolve,[$cnf( $equal(join(X_755,complement(join(X_297,X_755))),join(complement(X_297),X_755)) )],[refute_0_2332,refute_0_2333]) ).
cnf(refute_0_2335,plain,
join(complement(X_297),X_755) = join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),
inference(resolve,[$cnf( $equal(join(X_755,complement(join(X_297,X_755))),join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))) )],[refute_0_2329,refute_0_2334]) ).
cnf(refute_0_2336,plain,
complement(complement(join(X_297,X_755))) = join(X_297,X_755),
inference(subst,[],[refute_0_340:[bind(X_39,$fot(join(X_297,X_755)))]]) ).
cnf(refute_0_2337,plain,
composition(complement(complement(join(X_297,X_755))),top) = composition(complement(complement(join(X_297,X_755))),top),
introduced(tautology,[refl,[$fot(composition(complement(complement(join(X_297,X_755))),top))]]) ).
cnf(refute_0_2338,plain,
( complement(complement(join(X_297,X_755))) != join(X_297,X_755)
| composition(complement(complement(join(X_297,X_755))),top) != composition(complement(complement(join(X_297,X_755))),top)
| composition(complement(complement(join(X_297,X_755))),top) = composition(join(X_297,X_755),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(complement(join(X_297,X_755))),top),composition(complement(complement(join(X_297,X_755))),top)) ),[1,0],$fot(join(X_297,X_755))]]) ).
cnf(refute_0_2339,plain,
( complement(complement(join(X_297,X_755))) != join(X_297,X_755)
| composition(complement(complement(join(X_297,X_755))),top) = composition(join(X_297,X_755),top) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(join(X_297,X_755))),top),composition(complement(complement(join(X_297,X_755))),top)) )],[refute_0_2337,refute_0_2338]) ).
cnf(refute_0_2340,plain,
composition(complement(complement(join(X_297,X_755))),top) = composition(join(X_297,X_755),top),
inference(resolve,[$cnf( $equal(complement(complement(join(X_297,X_755))),join(X_297,X_755)) )],[refute_0_2336,refute_0_2339]) ).
cnf(refute_0_2341,plain,
complement(composition(complement(complement(join(X_297,X_755))),top)) = complement(composition(complement(complement(join(X_297,X_755))),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(complement(join(X_297,X_755))),top)))]]) ).
cnf(refute_0_2342,plain,
( complement(composition(complement(complement(join(X_297,X_755))),top)) != complement(composition(complement(complement(join(X_297,X_755))),top))
| composition(complement(complement(join(X_297,X_755))),top) != composition(join(X_297,X_755),top)
| complement(composition(complement(complement(join(X_297,X_755))),top)) = complement(composition(join(X_297,X_755),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(complement(join(X_297,X_755))),top)),complement(composition(complement(complement(join(X_297,X_755))),top))) ),[1,0],$fot(composition(join(X_297,X_755),top))]]) ).
cnf(refute_0_2343,plain,
( composition(complement(complement(join(X_297,X_755))),top) != composition(join(X_297,X_755),top)
| complement(composition(complement(complement(join(X_297,X_755))),top)) = complement(composition(join(X_297,X_755),top)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(complement(join(X_297,X_755))),top)),complement(composition(complement(complement(join(X_297,X_755))),top))) )],[refute_0_2341,refute_0_2342]) ).
cnf(refute_0_2344,plain,
complement(composition(complement(complement(join(X_297,X_755))),top)) = complement(composition(join(X_297,X_755),top)),
inference(resolve,[$cnf( $equal(composition(complement(complement(join(X_297,X_755))),top),composition(join(X_297,X_755),top)) )],[refute_0_2340,refute_0_2343]) ).
cnf(refute_0_2345,plain,
composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top) = composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))]]) ).
cnf(refute_0_2346,plain,
( complement(composition(complement(complement(join(X_297,X_755))),top)) != complement(composition(join(X_297,X_755),top))
| composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top) != composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)
| composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top) = composition(complement(composition(join(X_297,X_755),top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)) ),[1,0],$fot(complement(composition(join(X_297,X_755),top)))]]) ).
cnf(refute_0_2347,plain,
( complement(composition(complement(complement(join(X_297,X_755))),top)) != complement(composition(join(X_297,X_755),top))
| composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top) = composition(complement(composition(join(X_297,X_755),top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)) )],[refute_0_2345,refute_0_2346]) ).
cnf(refute_0_2348,plain,
composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top) = composition(complement(composition(join(X_297,X_755),top)),top),
inference(resolve,[$cnf( $equal(complement(composition(complement(complement(join(X_297,X_755))),top)),complement(composition(join(X_297,X_755),top))) )],[refute_0_2344,refute_0_2347]) ).
cnf(refute_0_2349,plain,
join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)) = join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)),
introduced(tautology,[refl,[$fot(join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))]]) ).
cnf(refute_0_2350,plain,
( composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top) != composition(complement(composition(join(X_297,X_755),top)),top)
| join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)) != join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))
| join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)) = join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)),join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) ),[1,1],$fot(composition(complement(composition(join(X_297,X_755),top)),top))]]) ).
cnf(refute_0_2351,plain,
( composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top) != composition(complement(composition(join(X_297,X_755),top)),top)
| join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)) = join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)),join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) )],[refute_0_2349,refute_0_2350]) ).
cnf(refute_0_2352,plain,
join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)) = join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),composition(complement(composition(join(X_297,X_755),top)),top)) )],[refute_0_2348,refute_0_2351]) ).
cnf(refute_0_2353,plain,
join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) = join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),
introduced(tautology,[refl,[$fot(join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))))]]) ).
cnf(refute_0_2354,plain,
( join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) != join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))
| join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)) != join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))
| join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) = join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))) ),[1,1],$fot(join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)))]]) ).
cnf(refute_0_2355,plain,
( join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)) != join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))
| join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) = join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))) ),
inference(resolve,[$cnf( $equal(join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))) )],[refute_0_2353,refute_0_2354]) ).
cnf(refute_0_2356,plain,
join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) = join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))),
inference(resolve,[$cnf( $equal(join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)),join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))) )],[refute_0_2352,refute_0_2355]) ).
cnf(refute_0_2357,plain,
join(X0,join(X_80,join(X_179,X_80))) = join(X_80,join(join(X_179,X_80),X0)),
inference(subst,[],[refute_0_922:[bind(X_81,$fot(join(X_179,X_80)))]]) ).
cnf(refute_0_2358,plain,
join(X_179,X_80) = join(X_80,join(X_179,X_80)),
inference(subst,[],[refute_0_1068:[bind(X_81,$fot(X_179)),bind(X_82,$fot(X_80))]]) ).
cnf(refute_0_2359,plain,
( join(X_179,X_80) != join(X_80,join(X_179,X_80))
| join(X_80,join(X_179,X_80)) = join(X_179,X_80) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_179,X_80))),bind(Y,$fot(join(X_80,join(X_179,X_80))))]]) ).
cnf(refute_0_2360,plain,
join(X_80,join(X_179,X_80)) = join(X_179,X_80),
inference(resolve,[$cnf( $equal(join(X_179,X_80),join(X_80,join(X_179,X_80))) )],[refute_0_2358,refute_0_2359]) ).
cnf(refute_0_2361,plain,
( join(X0,join(X_80,join(X_179,X_80))) != join(X_80,join(join(X_179,X_80),X0))
| join(X_80,join(X_179,X_80)) != join(X_179,X_80)
| join(X0,join(X_179,X_80)) = join(X_80,join(join(X_179,X_80),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X_80,join(X_179,X_80))),join(X_80,join(join(X_179,X_80),X0))) ),[0,1],$fot(join(X_179,X_80))]]) ).
cnf(refute_0_2362,plain,
( join(X0,join(X_80,join(X_179,X_80))) != join(X_80,join(join(X_179,X_80),X0))
| join(X0,join(X_179,X_80)) = join(X_80,join(join(X_179,X_80),X0)) ),
inference(resolve,[$cnf( $equal(join(X_80,join(X_179,X_80)),join(X_179,X_80)) )],[refute_0_2360,refute_0_2361]) ).
cnf(refute_0_2363,plain,
join(X0,join(X_179,X_80)) = join(X_80,join(join(X_179,X_80),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_80,join(X_179,X_80))),join(X_80,join(join(X_179,X_80),X0))) )],[refute_0_2357,refute_0_2362]) ).
cnf(refute_0_2364,plain,
join(join(X_179,X_80),X0) = join(X_179,join(X_80,X0)),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_179)),bind(X1,$fot(X_80)),bind(X2,$fot(X0))]]) ).
cnf(refute_0_2365,plain,
join(X_80,join(join(X_179,X_80),X0)) = join(X_80,join(join(X_179,X_80),X0)),
introduced(tautology,[refl,[$fot(join(X_80,join(join(X_179,X_80),X0)))]]) ).
cnf(refute_0_2366,plain,
( join(X_80,join(join(X_179,X_80),X0)) != join(X_80,join(join(X_179,X_80),X0))
| join(join(X_179,X_80),X0) != join(X_179,join(X_80,X0))
| join(X_80,join(join(X_179,X_80),X0)) = join(X_80,join(X_179,join(X_80,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_80,join(join(X_179,X_80),X0)),join(X_80,join(join(X_179,X_80),X0))) ),[1,1],$fot(join(X_179,join(X_80,X0)))]]) ).
cnf(refute_0_2367,plain,
( join(join(X_179,X_80),X0) != join(X_179,join(X_80,X0))
| join(X_80,join(join(X_179,X_80),X0)) = join(X_80,join(X_179,join(X_80,X0))) ),
inference(resolve,[$cnf( $equal(join(X_80,join(join(X_179,X_80),X0)),join(X_80,join(join(X_179,X_80),X0))) )],[refute_0_2365,refute_0_2366]) ).
cnf(refute_0_2368,plain,
join(X_80,join(join(X_179,X_80),X0)) = join(X_80,join(X_179,join(X_80,X0))),
inference(resolve,[$cnf( $equal(join(join(X_179,X_80),X0),join(X_179,join(X_80,X0))) )],[refute_0_2364,refute_0_2367]) ).
cnf(refute_0_2369,plain,
( join(X0,join(X_179,X_80)) != join(X_80,join(join(X_179,X_80),X0))
| join(X_80,join(join(X_179,X_80),X0)) != join(X_80,join(X_179,join(X_80,X0)))
| join(X0,join(X_179,X_80)) = join(X_80,join(X_179,join(X_80,X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_179,X_80)),join(X_80,join(X_179,join(X_80,X0)))) ),[0],$fot(join(X_80,join(join(X_179,X_80),X0)))]]) ).
cnf(refute_0_2370,plain,
( join(X0,join(X_179,X_80)) != join(X_80,join(join(X_179,X_80),X0))
| join(X0,join(X_179,X_80)) = join(X_80,join(X_179,join(X_80,X0))) ),
inference(resolve,[$cnf( $equal(join(X_80,join(join(X_179,X_80),X0)),join(X_80,join(X_179,join(X_80,X0)))) )],[refute_0_2368,refute_0_2369]) ).
cnf(refute_0_2371,plain,
join(X0,join(X_179,X_80)) = join(X_80,join(X_179,join(X_80,X0))),
inference(resolve,[$cnf( $equal(join(X0,join(X_179,X_80)),join(X_80,join(join(X_179,X_80),X0))) )],[refute_0_2363,refute_0_2370]) ).
cnf(refute_0_2372,plain,
join(X_712,join(X_713,X_714)) = join(X_714,join(X_713,join(X_714,X_712))),
inference(subst,[],[refute_0_2371:[bind(X0,$fot(X_712)),bind(X_179,$fot(X_713)),bind(X_80,$fot(X_714))]]) ).
cnf(refute_0_2373,plain,
join(X_714,X_713) = join(X_713,X_714),
inference(subst,[],[refute_0_13:[bind(X0,$fot(X_714)),bind(X1,$fot(X_713))]]) ).
cnf(refute_0_2374,plain,
( join(X_714,X_713) != join(X_713,X_714)
| join(X_713,X_714) = join(X_714,X_713) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_714,X_713))),bind(Y,$fot(join(X_713,X_714)))]]) ).
cnf(refute_0_2375,plain,
join(X_713,X_714) = join(X_714,X_713),
inference(resolve,[$cnf( $equal(join(X_714,X_713),join(X_713,X_714)) )],[refute_0_2373,refute_0_2374]) ).
cnf(refute_0_2376,plain,
( join(X_712,join(X_713,X_714)) != join(X_714,join(X_713,join(X_714,X_712)))
| join(X_713,X_714) != join(X_714,X_713)
| join(X_712,join(X_714,X_713)) = join(X_714,join(X_713,join(X_714,X_712))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_712,join(X_713,X_714)),join(X_714,join(X_713,join(X_714,X_712)))) ),[0,1],$fot(join(X_714,X_713))]]) ).
cnf(refute_0_2377,plain,
( join(X_712,join(X_713,X_714)) != join(X_714,join(X_713,join(X_714,X_712)))
| join(X_712,join(X_714,X_713)) = join(X_714,join(X_713,join(X_714,X_712))) ),
inference(resolve,[$cnf( $equal(join(X_713,X_714),join(X_714,X_713)) )],[refute_0_2375,refute_0_2376]) ).
cnf(refute_0_2378,plain,
join(X_712,join(X_714,X_713)) = join(X_714,join(X_713,join(X_714,X_712))),
inference(resolve,[$cnf( $equal(join(X_712,join(X_713,X_714)),join(X_714,join(X_713,join(X_714,X_712)))) )],[refute_0_2372,refute_0_2377]) ).
cnf(refute_0_2379,plain,
( join(X0,join(X_179,X_80)) != join(X_80,join(X_179,join(X_80,X0)))
| join(X_80,join(X_179,join(X_80,X0))) = join(X0,join(X_179,X_80)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,join(X_179,X_80)))),bind(Y,$fot(join(X_80,join(X_179,join(X_80,X0)))))]]) ).
cnf(refute_0_2380,plain,
join(X_80,join(X_179,join(X_80,X0))) = join(X0,join(X_179,X_80)),
inference(resolve,[$cnf( $equal(join(X0,join(X_179,X_80)),join(X_80,join(X_179,join(X_80,X0)))) )],[refute_0_2371,refute_0_2379]) ).
cnf(refute_0_2381,plain,
join(X_714,join(X_713,join(X_714,X_712))) = join(X_712,join(X_713,X_714)),
inference(subst,[],[refute_0_2380:[bind(X0,$fot(X_712)),bind(X_179,$fot(X_713)),bind(X_80,$fot(X_714))]]) ).
cnf(refute_0_2382,plain,
( join(X_712,join(X_714,X_713)) != join(X_714,join(X_713,join(X_714,X_712)))
| join(X_714,join(X_713,join(X_714,X_712))) != join(X_712,join(X_713,X_714))
| join(X_712,join(X_714,X_713)) = join(X_712,join(X_713,X_714)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_712,join(X_714,X_713)),join(X_712,join(X_713,X_714))) ),[0],$fot(join(X_714,join(X_713,join(X_714,X_712))))]]) ).
cnf(refute_0_2383,plain,
( join(X_712,join(X_714,X_713)) != join(X_714,join(X_713,join(X_714,X_712)))
| join(X_712,join(X_714,X_713)) = join(X_712,join(X_713,X_714)) ),
inference(resolve,[$cnf( $equal(join(X_714,join(X_713,join(X_714,X_712))),join(X_712,join(X_713,X_714))) )],[refute_0_2381,refute_0_2382]) ).
cnf(refute_0_2384,plain,
join(X_712,join(X_714,X_713)) = join(X_712,join(X_713,X_714)),
inference(resolve,[$cnf( $equal(join(X_712,join(X_714,X_713)),join(X_714,join(X_713,join(X_714,X_712)))) )],[refute_0_2378,refute_0_2383]) ).
cnf(refute_0_2385,plain,
( join(X_712,join(X_714,X_713)) != join(X_712,join(X_713,X_714))
| join(X_712,join(X_713,X_714)) = join(X_712,join(X_714,X_713)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_712,join(X_714,X_713)))),bind(Y,$fot(join(X_712,join(X_713,X_714))))]]) ).
cnf(refute_0_2386,plain,
join(X_712,join(X_713,X_714)) = join(X_712,join(X_714,X_713)),
inference(resolve,[$cnf( $equal(join(X_712,join(X_714,X_713)),join(X_712,join(X_713,X_714))) )],[refute_0_2384,refute_0_2385]) ).
cnf(refute_0_2387,plain,
join(X_755,join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),complement(X_297))) = join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),
inference(subst,[],[refute_0_2386:[bind(X_712,$fot(X_755)),bind(X_713,$fot(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),bind(X_714,$fot(complement(X_297)))]]) ).
cnf(refute_0_2388,plain,
join(meet(X_39,X1),join(meet(X_39,complement(X1)),join(X_710,join(X_709,meet(X_39,complement(X1)))))) = join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1))))),
inference(subst,[],[refute_0_1621:[bind(X_82,$fot(join(X_710,join(X_709,meet(X_39,complement(X1))))))]]) ).
cnf(refute_0_2389,plain,
join(meet(X_39,complement(X1)),join(X_710,join(X_709,meet(X_39,complement(X1))))) = join(X_710,join(X_709,meet(X_39,complement(X1)))),
inference(subst,[],[refute_0_1113:[bind(X_179,$fot(X_709)),bind(X_80,$fot(X_710)),bind(X_81,$fot(meet(X_39,complement(X1))))]]) ).
cnf(refute_0_2390,plain,
( join(meet(X_39,X1),join(meet(X_39,complement(X1)),join(X_710,join(X_709,meet(X_39,complement(X1)))))) != join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1)))))
| join(meet(X_39,complement(X1)),join(X_710,join(X_709,meet(X_39,complement(X1))))) != join(X_710,join(X_709,meet(X_39,complement(X1))))
| join(meet(X_39,X1),join(X_710,join(X_709,meet(X_39,complement(X1))))) = join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_39,X1),join(meet(X_39,complement(X1)),join(X_710,join(X_709,meet(X_39,complement(X1)))))),join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1)))))) ),[0,1],$fot(join(X_710,join(X_709,meet(X_39,complement(X1)))))]]) ).
cnf(refute_0_2391,plain,
( join(meet(X_39,X1),join(meet(X_39,complement(X1)),join(X_710,join(X_709,meet(X_39,complement(X1)))))) != join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1)))))
| join(meet(X_39,X1),join(X_710,join(X_709,meet(X_39,complement(X1))))) = join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,complement(X1)),join(X_710,join(X_709,meet(X_39,complement(X1))))),join(X_710,join(X_709,meet(X_39,complement(X1))))) )],[refute_0_2389,refute_0_2390]) ).
cnf(refute_0_2392,plain,
join(meet(X_39,X1),join(X_710,join(X_709,meet(X_39,complement(X1))))) = join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1))))),
inference(resolve,[$cnf( $equal(join(meet(X_39,X1),join(meet(X_39,complement(X1)),join(X_710,join(X_709,meet(X_39,complement(X1)))))),join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1)))))) )],[refute_0_2388,refute_0_2391]) ).
cnf(refute_0_2393,plain,
join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),join(X_80,X_81))) = join(X_618,join(X_80,X_81)),
inference(subst,[],[refute_0_1621:[bind(X1,$fot(X_617)),bind(X_39,$fot(X_618)),bind(X_82,$fot(join(X_80,X_81)))]]) ).
cnf(refute_0_2394,plain,
join(meet(X_618,complement(X_617)),join(X_80,X_81)) = join(X_80,join(X_81,meet(X_618,complement(X_617)))),
inference(subst,[],[refute_0_922:[bind(X0,$fot(meet(X_618,complement(X_617))))]]) ).
cnf(refute_0_2395,plain,
( join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),join(X_80,X_81))) != join(X_618,join(X_80,X_81))
| join(meet(X_618,complement(X_617)),join(X_80,X_81)) != join(X_80,join(X_81,meet(X_618,complement(X_617))))
| join(meet(X_618,X_617),join(X_80,join(X_81,meet(X_618,complement(X_617))))) = join(X_618,join(X_80,X_81)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),join(X_80,X_81))),join(X_618,join(X_80,X_81))) ),[0,1],$fot(join(X_80,join(X_81,meet(X_618,complement(X_617)))))]]) ).
cnf(refute_0_2396,plain,
( join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),join(X_80,X_81))) != join(X_618,join(X_80,X_81))
| join(meet(X_618,X_617),join(X_80,join(X_81,meet(X_618,complement(X_617))))) = join(X_618,join(X_80,X_81)) ),
inference(resolve,[$cnf( $equal(join(meet(X_618,complement(X_617)),join(X_80,X_81)),join(X_80,join(X_81,meet(X_618,complement(X_617))))) )],[refute_0_2394,refute_0_2395]) ).
cnf(refute_0_2397,plain,
join(meet(X_618,X_617),join(X_80,join(X_81,meet(X_618,complement(X_617))))) = join(X_618,join(X_80,X_81)),
inference(resolve,[$cnf( $equal(join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),join(X_80,X_81))),join(X_618,join(X_80,X_81))) )],[refute_0_2393,refute_0_2396]) ).
cnf(refute_0_2398,plain,
join(meet(X_39,X1),join(X_710,join(X_709,meet(X_39,complement(X1))))) = join(X_39,join(X_710,X_709)),
inference(subst,[],[refute_0_2397:[bind(X_617,$fot(X1)),bind(X_618,$fot(X_39)),bind(X_80,$fot(X_710)),bind(X_81,$fot(X_709))]]) ).
cnf(refute_0_2399,plain,
( join(meet(X_39,X1),join(X_710,join(X_709,meet(X_39,complement(X1))))) != join(X_39,join(X_710,X_709))
| join(meet(X_39,X1),join(X_710,join(X_709,meet(X_39,complement(X1))))) != join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1)))))
| join(X_39,join(X_710,X_709)) = join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_39,X1),join(X_710,join(X_709,meet(X_39,complement(X1))))),join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1)))))) ),[0],$fot(join(X_39,join(X_710,X_709)))]]) ).
cnf(refute_0_2400,plain,
( join(meet(X_39,X1),join(X_710,join(X_709,meet(X_39,complement(X1))))) != join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1)))))
| join(X_39,join(X_710,X_709)) = join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,X1),join(X_710,join(X_709,meet(X_39,complement(X1))))),join(X_39,join(X_710,X_709))) )],[refute_0_2398,refute_0_2399]) ).
cnf(refute_0_2401,plain,
join(X_39,join(X_710,X_709)) = join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1))))),
inference(resolve,[$cnf( $equal(join(meet(X_39,X1),join(X_710,join(X_709,meet(X_39,complement(X1))))),join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1)))))) )],[refute_0_2392,refute_0_2400]) ).
cnf(refute_0_2402,plain,
join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))) = join(meet(X_39,X1),join(X_713,join(meet(X_39,X1),join(meet(X_39,complement(X1)),X_82)))),
inference(subst,[],[refute_0_2371:[bind(X0,$fot(join(meet(X_39,complement(X1)),X_82))),bind(X_179,$fot(X_713)),bind(X_80,$fot(meet(X_39,X1)))]]) ).
cnf(refute_0_2403,plain,
( join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))) != join(meet(X_39,X1),join(X_713,join(meet(X_39,X1),join(meet(X_39,complement(X1)),X_82))))
| join(meet(X_39,X1),join(meet(X_39,complement(X1)),X_82)) != join(X_39,X_82)
| join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))) = join(meet(X_39,X1),join(X_713,join(X_39,X_82))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))),join(meet(X_39,X1),join(X_713,join(meet(X_39,X1),join(meet(X_39,complement(X1)),X_82))))) ),[1,1,1],$fot(join(X_39,X_82))]]) ).
cnf(refute_0_2404,plain,
( join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))) != join(meet(X_39,X1),join(X_713,join(meet(X_39,X1),join(meet(X_39,complement(X1)),X_82))))
| join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))) = join(meet(X_39,X1),join(X_713,join(X_39,X_82))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,X1),join(meet(X_39,complement(X1)),X_82)),join(X_39,X_82)) )],[refute_0_1621,refute_0_2403]) ).
cnf(refute_0_2405,plain,
join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))) = join(meet(X_39,X1),join(X_713,join(X_39,X_82))),
inference(resolve,[$cnf( $equal(join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))),join(meet(X_39,X1),join(X_713,join(meet(X_39,X1),join(meet(X_39,complement(X1)),X_82))))) )],[refute_0_2402,refute_0_2404]) ).
cnf(refute_0_2406,plain,
join(meet(X_618,X_617),join(X_81,join(meet(X_618,complement(X_617)),X_619))) = join(X_81,join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619))),
inference(subst,[],[refute_0_414:[bind(X_80,$fot(meet(X_618,X_617))),bind(X_82,$fot(join(meet(X_618,complement(X_617)),X_619)))]]) ).
cnf(refute_0_2407,plain,
( join(meet(X_618,X_617),join(X_81,join(meet(X_618,complement(X_617)),X_619))) != join(X_81,join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619)))
| join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619)) != join(X_618,X_619)
| join(meet(X_618,X_617),join(X_81,join(meet(X_618,complement(X_617)),X_619))) = join(X_81,join(X_618,X_619)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_618,X_617),join(X_81,join(meet(X_618,complement(X_617)),X_619))),join(X_81,join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619)))) ),[1,1],$fot(join(X_618,X_619))]]) ).
cnf(refute_0_2408,plain,
( join(meet(X_618,X_617),join(X_81,join(meet(X_618,complement(X_617)),X_619))) != join(X_81,join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619)))
| join(meet(X_618,X_617),join(X_81,join(meet(X_618,complement(X_617)),X_619))) = join(X_81,join(X_618,X_619)) ),
inference(resolve,[$cnf( $equal(join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619)),join(X_618,X_619)) )],[refute_0_1622,refute_0_2407]) ).
cnf(refute_0_2409,plain,
join(meet(X_618,X_617),join(X_81,join(meet(X_618,complement(X_617)),X_619))) = join(X_81,join(X_618,X_619)),
inference(resolve,[$cnf( $equal(join(meet(X_618,X_617),join(X_81,join(meet(X_618,complement(X_617)),X_619))),join(X_81,join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619)))) )],[refute_0_2406,refute_0_2408]) ).
cnf(refute_0_2410,plain,
join(meet(X_39,X1),join(X_713,join(meet(X_39,complement(X1)),X_82))) = join(X_713,join(X_39,X_82)),
inference(subst,[],[refute_0_2409:[bind(X_617,$fot(X1)),bind(X_618,$fot(X_39)),bind(X_619,$fot(X_82)),bind(X_81,$fot(X_713))]]) ).
cnf(refute_0_2411,plain,
join(X0,join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619))) = join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619)),
inference(subst,[],[refute_0_260:[bind(X1,$fot(meet(X_618,X_617))),bind(X2,$fot(join(meet(X_618,complement(X_617)),X_619)))]]) ).
cnf(refute_0_2412,plain,
( join(X0,join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619))) != join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619))
| join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619)) != join(X_618,X_619)
| join(X0,join(X_618,X_619)) = join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619))),join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619))) ),[0,1],$fot(join(X_618,X_619))]]) ).
cnf(refute_0_2413,plain,
( join(X0,join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619))) != join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619))
| join(X0,join(X_618,X_619)) = join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619)) ),
inference(resolve,[$cnf( $equal(join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619)),join(X_618,X_619)) )],[refute_0_1622,refute_0_2412]) ).
cnf(refute_0_2414,plain,
join(X0,join(X_618,X_619)) = join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619)),
inference(resolve,[$cnf( $equal(join(X0,join(meet(X_618,X_617),join(meet(X_618,complement(X_617)),X_619))),join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619))) )],[refute_0_2411,refute_0_2413]) ).
cnf(refute_0_2415,plain,
join(meet(X_618,X_617),join(X_619,join(meet(X_618,complement(X_617)),X0))) = join(X_619,join(X_618,X0)),
inference(subst,[],[refute_0_2409:[bind(X_619,$fot(X0)),bind(X_81,$fot(X_619))]]) ).
cnf(refute_0_2416,plain,
join(meet(X_72,X_73),join(meet(complement(X_72),X_73),X_82)) = join(join(meet(X_72,X_73),meet(complement(X_72),X_73)),X_82),
inference(subst,[],[refute_0_260:[bind(X0,$fot(meet(X_72,X_73))),bind(X1,$fot(meet(complement(X_72),X_73))),bind(X2,$fot(X_82))]]) ).
cnf(refute_0_2417,plain,
( join(meet(X_72,X_73),join(meet(complement(X_72),X_73),X_82)) != join(join(meet(X_72,X_73),meet(complement(X_72),X_73)),X_82)
| join(meet(X_72,X_73),meet(complement(X_72),X_73)) != X_73
| join(meet(X_72,X_73),join(meet(complement(X_72),X_73),X_82)) = join(X_73,X_82) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_72,X_73),join(meet(complement(X_72),X_73),X_82)),join(join(meet(X_72,X_73),meet(complement(X_72),X_73)),X_82)) ),[1,0],$fot(X_73)]]) ).
cnf(refute_0_2418,plain,
( join(meet(X_72,X_73),join(meet(complement(X_72),X_73),X_82)) != join(join(meet(X_72,X_73),meet(complement(X_72),X_73)),X_82)
| join(meet(X_72,X_73),join(meet(complement(X_72),X_73),X_82)) = join(X_73,X_82) ),
inference(resolve,[$cnf( $equal(join(meet(X_72,X_73),meet(complement(X_72),X_73)),X_73) )],[refute_0_1071,refute_0_2417]) ).
cnf(refute_0_2419,plain,
join(meet(X_72,X_73),join(meet(complement(X_72),X_73),X_82)) = join(X_73,X_82),
inference(resolve,[$cnf( $equal(join(meet(X_72,X_73),join(meet(complement(X_72),X_73),X_82)),join(join(meet(X_72,X_73),meet(complement(X_72),X_73)),X_82)) )],[refute_0_2416,refute_0_2418]) ).
cnf(refute_0_2420,plain,
join(meet(X_609,join(X_129,join(X_609,X_131))),join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) = join(join(X_129,join(X_609,X_131)),X_611),
inference(subst,[],[refute_0_2419:[bind(X_72,$fot(X_609)),bind(X_73,$fot(join(X_129,join(X_609,X_131)))),bind(X_82,$fot(X_611))]]) ).
cnf(refute_0_2421,plain,
X_609 = meet(X_609,join(X_129,join(X_609,X_131))),
inference(subst,[],[refute_0_1595:[bind(X_39,$fot(X_609))]]) ).
cnf(refute_0_2422,plain,
( X_609 != meet(X_609,join(X_129,join(X_609,X_131)))
| meet(X_609,join(X_129,join(X_609,X_131))) = X_609 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_609)),bind(Y,$fot(meet(X_609,join(X_129,join(X_609,X_131)))))]]) ).
cnf(refute_0_2423,plain,
meet(X_609,join(X_129,join(X_609,X_131))) = X_609,
inference(resolve,[$cnf( $equal(X_609,meet(X_609,join(X_129,join(X_609,X_131)))) )],[refute_0_2421,refute_0_2422]) ).
cnf(refute_0_2424,plain,
( join(meet(X_609,join(X_129,join(X_609,X_131))),join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) != join(join(X_129,join(X_609,X_131)),X_611)
| meet(X_609,join(X_129,join(X_609,X_131))) != X_609
| join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) = join(join(X_129,join(X_609,X_131)),X_611) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_609,join(X_129,join(X_609,X_131))),join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)),join(join(X_129,join(X_609,X_131)),X_611)) ),[0,0],$fot(X_609)]]) ).
cnf(refute_0_2425,plain,
( join(meet(X_609,join(X_129,join(X_609,X_131))),join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) != join(join(X_129,join(X_609,X_131)),X_611)
| join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) = join(join(X_129,join(X_609,X_131)),X_611) ),
inference(resolve,[$cnf( $equal(meet(X_609,join(X_129,join(X_609,X_131))),X_609) )],[refute_0_2423,refute_0_2424]) ).
cnf(refute_0_2426,plain,
join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) = join(join(X_129,join(X_609,X_131)),X_611),
inference(resolve,[$cnf( $equal(join(meet(X_609,join(X_129,join(X_609,X_131))),join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)),join(join(X_129,join(X_609,X_131)),X_611)) )],[refute_0_2420,refute_0_2425]) ).
cnf(refute_0_2427,plain,
join(join(X_131,X_611),join(X_129,X_609)) = join(X_131,join(X_611,join(X_129,X_609))),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_131)),bind(X1,$fot(X_611)),bind(X2,$fot(join(X_129,X_609)))]]) ).
cnf(refute_0_2428,plain,
join(X_609,join(X_129,join(X_609,join(X_131,X_611)))) = join(join(X_131,X_611),join(X_129,X_609)),
inference(subst,[],[refute_0_2380:[bind(X0,$fot(join(X_131,X_611))),bind(X_179,$fot(X_129)),bind(X_80,$fot(X_609))]]) ).
cnf(refute_0_2429,plain,
( join(X_609,join(X_129,join(X_609,join(X_131,X_611)))) != join(join(X_131,X_611),join(X_129,X_609))
| join(join(X_131,X_611),join(X_129,X_609)) != join(X_131,join(X_611,join(X_129,X_609)))
| join(X_609,join(X_129,join(X_609,join(X_131,X_611)))) = join(X_131,join(X_611,join(X_129,X_609))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_609,join(X_129,join(X_609,join(X_131,X_611)))))),bind(Y,$fot(join(join(X_131,X_611),join(X_129,X_609)))),bind(Z,$fot(join(X_131,join(X_611,join(X_129,X_609)))))]]) ).
cnf(refute_0_2430,plain,
( join(join(X_131,X_611),join(X_129,X_609)) != join(X_131,join(X_611,join(X_129,X_609)))
| join(X_609,join(X_129,join(X_609,join(X_131,X_611)))) = join(X_131,join(X_611,join(X_129,X_609))) ),
inference(resolve,[$cnf( $equal(join(X_609,join(X_129,join(X_609,join(X_131,X_611)))),join(join(X_131,X_611),join(X_129,X_609))) )],[refute_0_2428,refute_0_2429]) ).
cnf(refute_0_2431,plain,
join(X_609,join(X_129,join(X_609,join(X_131,X_611)))) = join(X_131,join(X_611,join(X_129,X_609))),
inference(resolve,[$cnf( $equal(join(join(X_131,X_611),join(X_129,X_609)),join(X_131,join(X_611,join(X_129,X_609)))) )],[refute_0_2427,refute_0_2430]) ).
cnf(refute_0_2432,plain,
join(join(X_609,X_131),X_611) = join(X_609,join(X_131,X_611)),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_609)),bind(X1,$fot(X_131)),bind(X2,$fot(X_611))]]) ).
cnf(refute_0_2433,plain,
join(X_129,join(join(X_609,X_131),X_611)) = join(X_129,join(join(X_609,X_131),X_611)),
introduced(tautology,[refl,[$fot(join(X_129,join(join(X_609,X_131),X_611)))]]) ).
cnf(refute_0_2434,plain,
( join(X_129,join(join(X_609,X_131),X_611)) != join(X_129,join(join(X_609,X_131),X_611))
| join(join(X_609,X_131),X_611) != join(X_609,join(X_131,X_611))
| join(X_129,join(join(X_609,X_131),X_611)) = join(X_129,join(X_609,join(X_131,X_611))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_129,join(join(X_609,X_131),X_611)),join(X_129,join(join(X_609,X_131),X_611))) ),[1,1],$fot(join(X_609,join(X_131,X_611)))]]) ).
cnf(refute_0_2435,plain,
( join(join(X_609,X_131),X_611) != join(X_609,join(X_131,X_611))
| join(X_129,join(join(X_609,X_131),X_611)) = join(X_129,join(X_609,join(X_131,X_611))) ),
inference(resolve,[$cnf( $equal(join(X_129,join(join(X_609,X_131),X_611)),join(X_129,join(join(X_609,X_131),X_611))) )],[refute_0_2433,refute_0_2434]) ).
cnf(refute_0_2436,plain,
join(X_129,join(join(X_609,X_131),X_611)) = join(X_129,join(X_609,join(X_131,X_611))),
inference(resolve,[$cnf( $equal(join(join(X_609,X_131),X_611),join(X_609,join(X_131,X_611))) )],[refute_0_2432,refute_0_2435]) ).
cnf(refute_0_2437,plain,
join(join(X_129,join(X_609,X_131)),X_611) = join(X_129,join(join(X_609,X_131),X_611)),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_129)),bind(X1,$fot(join(X_609,X_131))),bind(X2,$fot(X_611))]]) ).
cnf(refute_0_2438,plain,
( join(X_129,join(join(X_609,X_131),X_611)) != join(X_129,join(X_609,join(X_131,X_611)))
| join(join(X_129,join(X_609,X_131)),X_611) != join(X_129,join(join(X_609,X_131),X_611))
| join(join(X_129,join(X_609,X_131)),X_611) = join(X_129,join(X_609,join(X_131,X_611))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_129,join(X_609,X_131)),X_611))),bind(Y,$fot(join(X_129,join(join(X_609,X_131),X_611)))),bind(Z,$fot(join(X_129,join(X_609,join(X_131,X_611)))))]]) ).
cnf(refute_0_2439,plain,
( join(X_129,join(join(X_609,X_131),X_611)) != join(X_129,join(X_609,join(X_131,X_611)))
| join(join(X_129,join(X_609,X_131)),X_611) = join(X_129,join(X_609,join(X_131,X_611))) ),
inference(resolve,[$cnf( $equal(join(join(X_129,join(X_609,X_131)),X_611),join(X_129,join(join(X_609,X_131),X_611))) )],[refute_0_2437,refute_0_2438]) ).
cnf(refute_0_2440,plain,
join(join(X_129,join(X_609,X_131)),X_611) = join(X_129,join(X_609,join(X_131,X_611))),
inference(resolve,[$cnf( $equal(join(X_129,join(join(X_609,X_131),X_611)),join(X_129,join(X_609,join(X_131,X_611)))) )],[refute_0_2436,refute_0_2439]) ).
cnf(refute_0_2441,plain,
join(X_609,join(join(X_129,join(X_609,X_131)),X_611)) = join(X_609,join(join(X_129,join(X_609,X_131)),X_611)),
introduced(tautology,[refl,[$fot(join(X_609,join(join(X_129,join(X_609,X_131)),X_611)))]]) ).
cnf(refute_0_2442,plain,
( join(X_609,join(join(X_129,join(X_609,X_131)),X_611)) != join(X_609,join(join(X_129,join(X_609,X_131)),X_611))
| join(join(X_129,join(X_609,X_131)),X_611) != join(X_129,join(X_609,join(X_131,X_611)))
| join(X_609,join(join(X_129,join(X_609,X_131)),X_611)) = join(X_609,join(X_129,join(X_609,join(X_131,X_611)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_609,join(join(X_129,join(X_609,X_131)),X_611)),join(X_609,join(join(X_129,join(X_609,X_131)),X_611))) ),[1,1],$fot(join(X_129,join(X_609,join(X_131,X_611))))]]) ).
cnf(refute_0_2443,plain,
( join(join(X_129,join(X_609,X_131)),X_611) != join(X_129,join(X_609,join(X_131,X_611)))
| join(X_609,join(join(X_129,join(X_609,X_131)),X_611)) = join(X_609,join(X_129,join(X_609,join(X_131,X_611)))) ),
inference(resolve,[$cnf( $equal(join(X_609,join(join(X_129,join(X_609,X_131)),X_611)),join(X_609,join(join(X_129,join(X_609,X_131)),X_611))) )],[refute_0_2441,refute_0_2442]) ).
cnf(refute_0_2444,plain,
join(X_609,join(join(X_129,join(X_609,X_131)),X_611)) = join(X_609,join(X_129,join(X_609,join(X_131,X_611)))),
inference(resolve,[$cnf( $equal(join(join(X_129,join(X_609,X_131)),X_611),join(X_129,join(X_609,join(X_131,X_611)))) )],[refute_0_2440,refute_0_2443]) ).
cnf(refute_0_2445,plain,
( join(X_609,join(X_129,join(X_609,join(X_131,X_611)))) != join(X_131,join(X_611,join(X_129,X_609)))
| join(X_609,join(join(X_129,join(X_609,X_131)),X_611)) != join(X_609,join(X_129,join(X_609,join(X_131,X_611))))
| join(X_609,join(join(X_129,join(X_609,X_131)),X_611)) = join(X_131,join(X_611,join(X_129,X_609))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_609,join(join(X_129,join(X_609,X_131)),X_611)))),bind(Y,$fot(join(X_609,join(X_129,join(X_609,join(X_131,X_611)))))),bind(Z,$fot(join(X_131,join(X_611,join(X_129,X_609)))))]]) ).
cnf(refute_0_2446,plain,
( join(X_609,join(X_129,join(X_609,join(X_131,X_611)))) != join(X_131,join(X_611,join(X_129,X_609)))
| join(X_609,join(join(X_129,join(X_609,X_131)),X_611)) = join(X_131,join(X_611,join(X_129,X_609))) ),
inference(resolve,[$cnf( $equal(join(X_609,join(join(X_129,join(X_609,X_131)),X_611)),join(X_609,join(X_129,join(X_609,join(X_131,X_611))))) )],[refute_0_2444,refute_0_2445]) ).
cnf(refute_0_2447,plain,
join(X_609,join(join(X_129,join(X_609,X_131)),X_611)) = join(X_131,join(X_611,join(X_129,X_609))),
inference(resolve,[$cnf( $equal(join(X_609,join(X_129,join(X_609,join(X_131,X_611)))),join(X_131,join(X_611,join(X_129,X_609)))) )],[refute_0_2431,refute_0_2446]) ).
cnf(refute_0_2448,plain,
join(join(X_129,join(X_609,X_131)),join(X_609,X_611)) = join(X_609,join(join(X_129,join(X_609,X_131)),X_611)),
inference(subst,[],[refute_0_1123:[bind(X0,$fot(X_609)),bind(X1,$fot(X_611)),bind(X_179,$fot(join(X_129,join(X_609,X_131))))]]) ).
cnf(refute_0_2449,plain,
join(meet(X_297,join(X_96,X_297)),join(meet(join(X_96,X_297),complement(X_297)),X_299)) = join(join(X_96,X_297),X_299),
inference(subst,[],[refute_0_1492:[bind(X_47,$fot(X_297)),bind(X_48,$fot(join(X_96,X_297))),bind(X_82,$fot(X_299))]]) ).
cnf(refute_0_2450,plain,
X_39 = join(meet(join(X_96,complement(complement(X_39))),X_39),complement(join(complement(X_39),join(X_96,complement(complement(X_39)))))),
inference(subst,[],[refute_0_775:[bind(X_40,$fot(join(X_96,complement(complement(X_39)))))]]) ).
cnf(refute_0_2451,plain,
join(X_93,join(complement(X_93),X_94)) = top,
inference(subst,[],[refute_0_840:[bind(X_80,$fot(X_93)),bind(X_82,$fot(X_94))]]) ).
cnf(refute_0_2452,plain,
join(X_94,complement(X_93)) = join(complement(X_93),X_94),
inference(subst,[],[refute_0_13:[bind(X0,$fot(X_94)),bind(X1,$fot(complement(X_93)))]]) ).
cnf(refute_0_2453,plain,
( join(X_94,complement(X_93)) != join(complement(X_93),X_94)
| join(complement(X_93),X_94) = join(X_94,complement(X_93)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_94,complement(X_93)))),bind(Y,$fot(join(complement(X_93),X_94)))]]) ).
cnf(refute_0_2454,plain,
join(complement(X_93),X_94) = join(X_94,complement(X_93)),
inference(resolve,[$cnf( $equal(join(X_94,complement(X_93)),join(complement(X_93),X_94)) )],[refute_0_2452,refute_0_2453]) ).
cnf(refute_0_2455,plain,
( join(X_93,join(complement(X_93),X_94)) != top
| join(complement(X_93),X_94) != join(X_94,complement(X_93))
| join(X_93,join(X_94,complement(X_93))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_93,join(complement(X_93),X_94)),top) ),[0,1],$fot(join(X_94,complement(X_93)))]]) ).
cnf(refute_0_2456,plain,
( join(X_93,join(complement(X_93),X_94)) != top
| join(X_93,join(X_94,complement(X_93))) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_93),X_94),join(X_94,complement(X_93))) )],[refute_0_2454,refute_0_2455]) ).
cnf(refute_0_2457,plain,
join(X_93,join(X_94,complement(X_93))) = top,
inference(resolve,[$cnf( $equal(join(X_93,join(complement(X_93),X_94)),top) )],[refute_0_2451,refute_0_2456]) ).
cnf(refute_0_2458,plain,
join(complement(X_39),join(X_96,complement(complement(X_39)))) = top,
inference(subst,[],[refute_0_2457:[bind(X_93,$fot(complement(X_39))),bind(X_94,$fot(X_96))]]) ).
cnf(refute_0_2459,plain,
( X_39 != join(meet(join(X_96,complement(complement(X_39))),X_39),complement(join(complement(X_39),join(X_96,complement(complement(X_39))))))
| join(complement(X_39),join(X_96,complement(complement(X_39)))) != top
| X_39 = join(meet(join(X_96,complement(complement(X_39))),X_39),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_39,join(meet(join(X_96,complement(complement(X_39))),X_39),complement(join(complement(X_39),join(X_96,complement(complement(X_39))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_2460,plain,
( X_39 != join(meet(join(X_96,complement(complement(X_39))),X_39),complement(join(complement(X_39),join(X_96,complement(complement(X_39))))))
| X_39 = join(meet(join(X_96,complement(complement(X_39))),X_39),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),join(X_96,complement(complement(X_39)))),top) )],[refute_0_2458,refute_0_2459]) ).
cnf(refute_0_2461,plain,
X_39 = join(meet(join(X_96,complement(complement(X_39))),X_39),complement(top)),
inference(resolve,[$cnf( $equal(X_39,join(meet(join(X_96,complement(complement(X_39))),X_39),complement(join(complement(X_39),join(X_96,complement(complement(X_39))))))) )],[refute_0_2450,refute_0_2460]) ).
cnf(refute_0_2462,plain,
join(zero,meet(X_39,join(X_96,X_39))) = meet(X_39,join(X_96,X_39)),
inference(subst,[],[refute_0_565:[bind(X_39,$fot(meet(X_39,join(X_96,X_39))))]]) ).
cnf(refute_0_2463,plain,
join(X_96,complement(complement(X_39))) = join(X_96,complement(complement(X_39))),
introduced(tautology,[refl,[$fot(join(X_96,complement(complement(X_39))))]]) ).
cnf(refute_0_2464,plain,
( complement(complement(X_39)) != X_39
| join(X_96,complement(complement(X_39))) != join(X_96,complement(complement(X_39)))
| join(X_96,complement(complement(X_39))) = join(X_96,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_96,complement(complement(X_39))),join(X_96,complement(complement(X_39)))) ),[1,1],$fot(X_39)]]) ).
cnf(refute_0_2465,plain,
( complement(complement(X_39)) != X_39
| join(X_96,complement(complement(X_39))) = join(X_96,X_39) ),
inference(resolve,[$cnf( $equal(join(X_96,complement(complement(X_39))),join(X_96,complement(complement(X_39)))) )],[refute_0_2463,refute_0_2464]) ).
cnf(refute_0_2466,plain,
join(X_96,complement(complement(X_39))) = join(X_96,X_39),
inference(resolve,[$cnf( $equal(complement(complement(X_39)),X_39) )],[refute_0_340,refute_0_2465]) ).
cnf(refute_0_2467,plain,
meet(X_39,join(X_96,complement(complement(X_39)))) = meet(X_39,join(X_96,complement(complement(X_39)))),
introduced(tautology,[refl,[$fot(meet(X_39,join(X_96,complement(complement(X_39)))))]]) ).
cnf(refute_0_2468,plain,
( join(X_96,complement(complement(X_39))) != join(X_96,X_39)
| meet(X_39,join(X_96,complement(complement(X_39)))) != meet(X_39,join(X_96,complement(complement(X_39))))
| meet(X_39,join(X_96,complement(complement(X_39)))) = meet(X_39,join(X_96,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_39,join(X_96,complement(complement(X_39)))),meet(X_39,join(X_96,complement(complement(X_39))))) ),[1,1],$fot(join(X_96,X_39))]]) ).
cnf(refute_0_2469,plain,
( join(X_96,complement(complement(X_39))) != join(X_96,X_39)
| meet(X_39,join(X_96,complement(complement(X_39)))) = meet(X_39,join(X_96,X_39)) ),
inference(resolve,[$cnf( $equal(meet(X_39,join(X_96,complement(complement(X_39)))),meet(X_39,join(X_96,complement(complement(X_39))))) )],[refute_0_2467,refute_0_2468]) ).
cnf(refute_0_2470,plain,
meet(X_39,join(X_96,complement(complement(X_39)))) = meet(X_39,join(X_96,X_39)),
inference(resolve,[$cnf( $equal(join(X_96,complement(complement(X_39))),join(X_96,X_39)) )],[refute_0_2466,refute_0_2469]) ).
cnf(refute_0_2471,plain,
meet(join(X_96,complement(complement(X_39))),X_39) = meet(X_39,join(X_96,complement(complement(X_39)))),
inference(subst,[],[refute_0_191:[bind(X_10,$fot(X_39)),bind(X_11,$fot(join(X_96,complement(complement(X_39)))))]]) ).
cnf(refute_0_2472,plain,
( meet(X_39,join(X_96,complement(complement(X_39)))) != meet(X_39,join(X_96,X_39))
| meet(join(X_96,complement(complement(X_39))),X_39) != meet(X_39,join(X_96,complement(complement(X_39))))
| meet(join(X_96,complement(complement(X_39))),X_39) = meet(X_39,join(X_96,X_39)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(X_96,complement(complement(X_39))),X_39))),bind(Y,$fot(meet(X_39,join(X_96,complement(complement(X_39)))))),bind(Z,$fot(meet(X_39,join(X_96,X_39))))]]) ).
cnf(refute_0_2473,plain,
( meet(X_39,join(X_96,complement(complement(X_39)))) != meet(X_39,join(X_96,X_39))
| meet(join(X_96,complement(complement(X_39))),X_39) = meet(X_39,join(X_96,X_39)) ),
inference(resolve,[$cnf( $equal(meet(join(X_96,complement(complement(X_39))),X_39),meet(X_39,join(X_96,complement(complement(X_39))))) )],[refute_0_2471,refute_0_2472]) ).
cnf(refute_0_2474,plain,
meet(join(X_96,complement(complement(X_39))),X_39) = meet(X_39,join(X_96,X_39)),
inference(resolve,[$cnf( $equal(meet(X_39,join(X_96,complement(complement(X_39)))),meet(X_39,join(X_96,X_39))) )],[refute_0_2470,refute_0_2473]) ).
cnf(refute_0_2475,plain,
join(zero,meet(join(X_96,complement(complement(X_39))),X_39)) = join(zero,meet(join(X_96,complement(complement(X_39))),X_39)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(X_96,complement(complement(X_39))),X_39)))]]) ).
cnf(refute_0_2476,plain,
( join(zero,meet(join(X_96,complement(complement(X_39))),X_39)) != join(zero,meet(join(X_96,complement(complement(X_39))),X_39))
| meet(join(X_96,complement(complement(X_39))),X_39) != meet(X_39,join(X_96,X_39))
| join(zero,meet(join(X_96,complement(complement(X_39))),X_39)) = join(zero,meet(X_39,join(X_96,X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(X_96,complement(complement(X_39))),X_39)),join(zero,meet(join(X_96,complement(complement(X_39))),X_39))) ),[1,1],$fot(meet(X_39,join(X_96,X_39)))]]) ).
cnf(refute_0_2477,plain,
( meet(join(X_96,complement(complement(X_39))),X_39) != meet(X_39,join(X_96,X_39))
| join(zero,meet(join(X_96,complement(complement(X_39))),X_39)) = join(zero,meet(X_39,join(X_96,X_39))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(X_96,complement(complement(X_39))),X_39)),join(zero,meet(join(X_96,complement(complement(X_39))),X_39))) )],[refute_0_2475,refute_0_2476]) ).
cnf(refute_0_2478,plain,
join(zero,meet(join(X_96,complement(complement(X_39))),X_39)) = join(zero,meet(X_39,join(X_96,X_39))),
inference(resolve,[$cnf( $equal(meet(join(X_96,complement(complement(X_39))),X_39),meet(X_39,join(X_96,X_39))) )],[refute_0_2474,refute_0_2477]) ).
cnf(refute_0_2479,plain,
join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)) = join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)))]]) ).
cnf(refute_0_2480,plain,
( complement(top) != zero
| join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)) != join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39))
| join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)) = join(zero,meet(join(X_96,complement(complement(X_39))),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)),join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2481,plain,
( complement(top) != zero
| join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)) = join(zero,meet(join(X_96,complement(complement(X_39))),X_39)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)),join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39))) )],[refute_0_2479,refute_0_2480]) ).
cnf(refute_0_2482,plain,
join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)) = join(zero,meet(join(X_96,complement(complement(X_39))),X_39)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_154,refute_0_2481]) ).
cnf(refute_0_2483,plain,
( join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)) != join(zero,meet(join(X_96,complement(complement(X_39))),X_39))
| join(zero,meet(join(X_96,complement(complement(X_39))),X_39)) != join(zero,meet(X_39,join(X_96,X_39)))
| join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)) = join(zero,meet(X_39,join(X_96,X_39))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)))),bind(Y,$fot(join(zero,meet(join(X_96,complement(complement(X_39))),X_39)))),bind(Z,$fot(join(zero,meet(X_39,join(X_96,X_39)))))]]) ).
cnf(refute_0_2484,plain,
( join(zero,meet(join(X_96,complement(complement(X_39))),X_39)) != join(zero,meet(X_39,join(X_96,X_39)))
| join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)) = join(zero,meet(X_39,join(X_96,X_39))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)),join(zero,meet(join(X_96,complement(complement(X_39))),X_39))) )],[refute_0_2482,refute_0_2483]) ).
cnf(refute_0_2485,plain,
join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)) = join(zero,meet(X_39,join(X_96,X_39))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(X_96,complement(complement(X_39))),X_39)),join(zero,meet(X_39,join(X_96,X_39)))) )],[refute_0_2478,refute_0_2484]) ).
cnf(refute_0_2486,plain,
( join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)) != join(zero,meet(X_39,join(X_96,X_39)))
| join(zero,meet(X_39,join(X_96,X_39))) != meet(X_39,join(X_96,X_39))
| join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)) = meet(X_39,join(X_96,X_39)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)))),bind(Y,$fot(join(zero,meet(X_39,join(X_96,X_39))))),bind(Z,$fot(meet(X_39,join(X_96,X_39))))]]) ).
cnf(refute_0_2487,plain,
( join(zero,meet(X_39,join(X_96,X_39))) != meet(X_39,join(X_96,X_39))
| join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)) = meet(X_39,join(X_96,X_39)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)),join(zero,meet(X_39,join(X_96,X_39)))) )],[refute_0_2485,refute_0_2486]) ).
cnf(refute_0_2488,plain,
join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)) = meet(X_39,join(X_96,X_39)),
inference(resolve,[$cnf( $equal(join(zero,meet(X_39,join(X_96,X_39))),meet(X_39,join(X_96,X_39))) )],[refute_0_2462,refute_0_2487]) ).
cnf(refute_0_2489,plain,
join(meet(join(X_96,complement(complement(X_39))),X_39),complement(top)) = join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(X_96,complement(complement(X_39))),X_39)))]]) ).
cnf(refute_0_2490,plain,
( join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)) != meet(X_39,join(X_96,X_39))
| join(meet(join(X_96,complement(complement(X_39))),X_39),complement(top)) != join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39))
| join(meet(join(X_96,complement(complement(X_39))),X_39),complement(top)) = meet(X_39,join(X_96,X_39)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(join(X_96,complement(complement(X_39))),X_39),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)))),bind(Z,$fot(meet(X_39,join(X_96,X_39))))]]) ).
cnf(refute_0_2491,plain,
( join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)) != meet(X_39,join(X_96,X_39))
| join(meet(join(X_96,complement(complement(X_39))),X_39),complement(top)) = meet(X_39,join(X_96,X_39)) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_96,complement(complement(X_39))),X_39),complement(top)),join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39))) )],[refute_0_2489,refute_0_2490]) ).
cnf(refute_0_2492,plain,
join(meet(join(X_96,complement(complement(X_39))),X_39),complement(top)) = meet(X_39,join(X_96,X_39)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_96,complement(complement(X_39))),X_39)),meet(X_39,join(X_96,X_39))) )],[refute_0_2488,refute_0_2491]) ).
cnf(refute_0_2493,plain,
( X_39 != join(meet(join(X_96,complement(complement(X_39))),X_39),complement(top))
| join(meet(join(X_96,complement(complement(X_39))),X_39),complement(top)) != meet(X_39,join(X_96,X_39))
| X_39 = meet(X_39,join(X_96,X_39)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,meet(X_39,join(X_96,X_39))) ),[0],$fot(join(meet(join(X_96,complement(complement(X_39))),X_39),complement(top)))]]) ).
cnf(refute_0_2494,plain,
( X_39 != join(meet(join(X_96,complement(complement(X_39))),X_39),complement(top))
| X_39 = meet(X_39,join(X_96,X_39)) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_96,complement(complement(X_39))),X_39),complement(top)),meet(X_39,join(X_96,X_39))) )],[refute_0_2492,refute_0_2493]) ).
cnf(refute_0_2495,plain,
X_39 = meet(X_39,join(X_96,X_39)),
inference(resolve,[$cnf( $equal(X_39,join(meet(join(X_96,complement(complement(X_39))),X_39),complement(top))) )],[refute_0_2461,refute_0_2494]) ).
cnf(refute_0_2496,plain,
X_297 = meet(X_297,join(X_96,X_297)),
inference(subst,[],[refute_0_2495:[bind(X_39,$fot(X_297))]]) ).
cnf(refute_0_2497,plain,
( X_297 != meet(X_297,join(X_96,X_297))
| meet(X_297,join(X_96,X_297)) = X_297 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_297)),bind(Y,$fot(meet(X_297,join(X_96,X_297))))]]) ).
cnf(refute_0_2498,plain,
meet(X_297,join(X_96,X_297)) = X_297,
inference(resolve,[$cnf( $equal(X_297,meet(X_297,join(X_96,X_297))) )],[refute_0_2496,refute_0_2497]) ).
cnf(refute_0_2499,plain,
( join(meet(X_297,join(X_96,X_297)),join(meet(join(X_96,X_297),complement(X_297)),X_299)) != join(join(X_96,X_297),X_299)
| meet(X_297,join(X_96,X_297)) != X_297
| join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)) = join(join(X_96,X_297),X_299) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_297,join(X_96,X_297)),join(meet(join(X_96,X_297),complement(X_297)),X_299)),join(join(X_96,X_297),X_299)) ),[0,0],$fot(X_297)]]) ).
cnf(refute_0_2500,plain,
( join(meet(X_297,join(X_96,X_297)),join(meet(join(X_96,X_297),complement(X_297)),X_299)) != join(join(X_96,X_297),X_299)
| join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)) = join(join(X_96,X_297),X_299) ),
inference(resolve,[$cnf( $equal(meet(X_297,join(X_96,X_297)),X_297) )],[refute_0_2498,refute_0_2499]) ).
cnf(refute_0_2501,plain,
join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)) = join(join(X_96,X_297),X_299),
inference(resolve,[$cnf( $equal(join(meet(X_297,join(X_96,X_297)),join(meet(join(X_96,X_297),complement(X_297)),X_299)),join(join(X_96,X_297),X_299)) )],[refute_0_2449,refute_0_2500]) ).
cnf(refute_0_2502,plain,
meet(join(X_96,X_297),complement(X_297)) = meet(complement(X_297),join(X_96,X_297)),
inference(subst,[],[refute_0_191:[bind(X_10,$fot(complement(X_297))),bind(X_11,$fot(join(X_96,X_297)))]]) ).
cnf(refute_0_2503,plain,
join(meet(join(X_96,X_297),complement(X_297)),X_299) = join(meet(join(X_96,X_297),complement(X_297)),X_299),
introduced(tautology,[refl,[$fot(join(meet(join(X_96,X_297),complement(X_297)),X_299))]]) ).
cnf(refute_0_2504,plain,
( join(meet(join(X_96,X_297),complement(X_297)),X_299) != join(meet(join(X_96,X_297),complement(X_297)),X_299)
| meet(join(X_96,X_297),complement(X_297)) != meet(complement(X_297),join(X_96,X_297))
| join(meet(join(X_96,X_297),complement(X_297)),X_299) = join(meet(complement(X_297),join(X_96,X_297)),X_299) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_96,X_297),complement(X_297)),X_299),join(meet(join(X_96,X_297),complement(X_297)),X_299)) ),[1,0],$fot(meet(complement(X_297),join(X_96,X_297)))]]) ).
cnf(refute_0_2505,plain,
( meet(join(X_96,X_297),complement(X_297)) != meet(complement(X_297),join(X_96,X_297))
| join(meet(join(X_96,X_297),complement(X_297)),X_299) = join(meet(complement(X_297),join(X_96,X_297)),X_299) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_96,X_297),complement(X_297)),X_299),join(meet(join(X_96,X_297),complement(X_297)),X_299)) )],[refute_0_2503,refute_0_2504]) ).
cnf(refute_0_2506,plain,
join(meet(join(X_96,X_297),complement(X_297)),X_299) = join(meet(complement(X_297),join(X_96,X_297)),X_299),
inference(resolve,[$cnf( $equal(meet(join(X_96,X_297),complement(X_297)),meet(complement(X_297),join(X_96,X_297))) )],[refute_0_2502,refute_0_2505]) ).
cnf(refute_0_2507,plain,
join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)) = join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)),
introduced(tautology,[refl,[$fot(join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)))]]) ).
cnf(refute_0_2508,plain,
( join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)) != join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299))
| join(meet(join(X_96,X_297),complement(X_297)),X_299) != join(meet(complement(X_297),join(X_96,X_297)),X_299)
| join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)) = join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)),join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299))) ),[1,1],$fot(join(meet(complement(X_297),join(X_96,X_297)),X_299))]]) ).
cnf(refute_0_2509,plain,
( join(meet(join(X_96,X_297),complement(X_297)),X_299) != join(meet(complement(X_297),join(X_96,X_297)),X_299)
| join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)) = join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)) ),
inference(resolve,[$cnf( $equal(join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)),join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299))) )],[refute_0_2507,refute_0_2508]) ).
cnf(refute_0_2510,plain,
join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)) = join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)),
inference(resolve,[$cnf( $equal(join(meet(join(X_96,X_297),complement(X_297)),X_299),join(meet(complement(X_297),join(X_96,X_297)),X_299)) )],[refute_0_2506,refute_0_2509]) ).
cnf(refute_0_2511,plain,
( join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)) != join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299))
| join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)) != join(join(X_96,X_297),X_299)
| join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)) = join(join(X_96,X_297),X_299) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)),join(join(X_96,X_297),X_299)) ),[0],$fot(join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)))]]) ).
cnf(refute_0_2512,plain,
( join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)) != join(join(X_96,X_297),X_299)
| join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)) = join(join(X_96,X_297),X_299) ),
inference(resolve,[$cnf( $equal(join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)),join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299))) )],[refute_0_2510,refute_0_2511]) ).
cnf(refute_0_2513,plain,
join(join(X_96,X_297),X_299) = join(X_96,join(X_297,X_299)),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_96)),bind(X1,$fot(X_297)),bind(X2,$fot(X_299))]]) ).
cnf(refute_0_2514,plain,
( join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)) != join(join(X_96,X_297),X_299)
| join(join(X_96,X_297),X_299) != join(X_96,join(X_297,X_299))
| join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)) = join(X_96,join(X_297,X_299)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)),join(X_96,join(X_297,X_299))) ),[0],$fot(join(join(X_96,X_297),X_299))]]) ).
cnf(refute_0_2515,plain,
( join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)) != join(join(X_96,X_297),X_299)
| join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)) = join(X_96,join(X_297,X_299)) ),
inference(resolve,[$cnf( $equal(join(join(X_96,X_297),X_299),join(X_96,join(X_297,X_299))) )],[refute_0_2513,refute_0_2514]) ).
cnf(refute_0_2516,plain,
( join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)) != join(join(X_96,X_297),X_299)
| join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)) = join(X_96,join(X_297,X_299)) ),
inference(resolve,[$cnf( $equal(join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)),join(join(X_96,X_297),X_299)) )],[refute_0_2512,refute_0_2515]) ).
cnf(refute_0_2517,plain,
join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)) = join(X_96,join(X_297,X_299)),
inference(resolve,[$cnf( $equal(join(X_297,join(meet(join(X_96,X_297),complement(X_297)),X_299)),join(join(X_96,X_297),X_299)) )],[refute_0_2501,refute_0_2516]) ).
cnf(refute_0_2518,plain,
meet(complement(X_137),join(X_305,X_137)) = complement(join(X_137,complement(join(X_305,X_137)))),
inference(subst,[],[refute_0_372:[bind(X_135,$fot(join(X_305,X_137)))]]) ).
cnf(refute_0_2519,plain,
join(complement(X_305),X_137) = join(X_137,complement(join(X_305,X_137))),
inference(subst,[],[refute_0_1973:[bind(X_297,$fot(X_305)),bind(X_298,$fot(X_137))]]) ).
cnf(refute_0_2520,plain,
( join(complement(X_305),X_137) != join(X_137,complement(join(X_305,X_137)))
| join(X_137,complement(join(X_305,X_137))) = join(complement(X_305),X_137) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(complement(X_305),X_137))),bind(Y,$fot(join(X_137,complement(join(X_305,X_137)))))]]) ).
cnf(refute_0_2521,plain,
join(X_137,complement(join(X_305,X_137))) = join(complement(X_305),X_137),
inference(resolve,[$cnf( $equal(join(complement(X_305),X_137),join(X_137,complement(join(X_305,X_137)))) )],[refute_0_2519,refute_0_2520]) ).
cnf(refute_0_2522,plain,
( join(X_137,complement(join(X_305,X_137))) != join(complement(X_305),X_137)
| meet(complement(X_137),join(X_305,X_137)) != complement(join(X_137,complement(join(X_305,X_137))))
| meet(complement(X_137),join(X_305,X_137)) = complement(join(complement(X_305),X_137)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_137),join(X_305,X_137)),complement(join(X_137,complement(join(X_305,X_137))))) ),[1,0],$fot(join(complement(X_305),X_137))]]) ).
cnf(refute_0_2523,plain,
( meet(complement(X_137),join(X_305,X_137)) != complement(join(X_137,complement(join(X_305,X_137))))
| meet(complement(X_137),join(X_305,X_137)) = complement(join(complement(X_305),X_137)) ),
inference(resolve,[$cnf( $equal(join(X_137,complement(join(X_305,X_137))),join(complement(X_305),X_137)) )],[refute_0_2521,refute_0_2522]) ).
cnf(refute_0_2524,plain,
meet(complement(X_137),join(X_305,X_137)) = complement(join(complement(X_305),X_137)),
inference(resolve,[$cnf( $equal(meet(complement(X_137),join(X_305,X_137)),complement(join(X_137,complement(join(X_305,X_137))))) )],[refute_0_2518,refute_0_2523]) ).
cnf(refute_0_2525,plain,
complement(join(complement(X_305),X_137)) = meet(complement(X_137),X_305),
inference(subst,[],[refute_0_1724:[bind(X_138,$fot(X_305)),bind(X_139,$fot(X_137))]]) ).
cnf(refute_0_2526,plain,
( complement(join(complement(X_305),X_137)) != meet(complement(X_137),X_305)
| meet(complement(X_137),join(X_305,X_137)) != complement(join(complement(X_305),X_137))
| meet(complement(X_137),join(X_305,X_137)) = meet(complement(X_137),X_305) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_137),join(X_305,X_137)),complement(join(complement(X_305),X_137))) ),[1],$fot(meet(complement(X_137),X_305))]]) ).
cnf(refute_0_2527,plain,
( meet(complement(X_137),join(X_305,X_137)) != complement(join(complement(X_305),X_137))
| meet(complement(X_137),join(X_305,X_137)) = meet(complement(X_137),X_305) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_305),X_137)),meet(complement(X_137),X_305)) )],[refute_0_2525,refute_0_2526]) ).
cnf(refute_0_2528,plain,
meet(complement(X_137),join(X_305,X_137)) = meet(complement(X_137),X_305),
inference(resolve,[$cnf( $equal(meet(complement(X_137),join(X_305,X_137)),complement(join(complement(X_305),X_137))) )],[refute_0_2524,refute_0_2527]) ).
cnf(refute_0_2529,plain,
meet(complement(X_297),join(X_96,X_297)) = meet(complement(X_297),X_96),
inference(subst,[],[refute_0_2528:[bind(X_137,$fot(X_297)),bind(X_305,$fot(X_96))]]) ).
cnf(refute_0_2530,plain,
join(meet(complement(X_297),join(X_96,X_297)),X_299) = join(meet(complement(X_297),join(X_96,X_297)),X_299),
introduced(tautology,[refl,[$fot(join(meet(complement(X_297),join(X_96,X_297)),X_299))]]) ).
cnf(refute_0_2531,plain,
( join(meet(complement(X_297),join(X_96,X_297)),X_299) != join(meet(complement(X_297),join(X_96,X_297)),X_299)
| meet(complement(X_297),join(X_96,X_297)) != meet(complement(X_297),X_96)
| join(meet(complement(X_297),join(X_96,X_297)),X_299) = join(meet(complement(X_297),X_96),X_299) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(X_297),join(X_96,X_297)),X_299),join(meet(complement(X_297),join(X_96,X_297)),X_299)) ),[1,0],$fot(meet(complement(X_297),X_96))]]) ).
cnf(refute_0_2532,plain,
( meet(complement(X_297),join(X_96,X_297)) != meet(complement(X_297),X_96)
| join(meet(complement(X_297),join(X_96,X_297)),X_299) = join(meet(complement(X_297),X_96),X_299) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_297),join(X_96,X_297)),X_299),join(meet(complement(X_297),join(X_96,X_297)),X_299)) )],[refute_0_2530,refute_0_2531]) ).
cnf(refute_0_2533,plain,
join(meet(complement(X_297),join(X_96,X_297)),X_299) = join(meet(complement(X_297),X_96),X_299),
inference(resolve,[$cnf( $equal(meet(complement(X_297),join(X_96,X_297)),meet(complement(X_297),X_96)) )],[refute_0_2529,refute_0_2532]) ).
cnf(refute_0_2534,plain,
join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)) = join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)),
introduced(tautology,[refl,[$fot(join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)))]]) ).
cnf(refute_0_2535,plain,
( join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)) != join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299))
| join(meet(complement(X_297),join(X_96,X_297)),X_299) != join(meet(complement(X_297),X_96),X_299)
| join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)) = join(X_297,join(meet(complement(X_297),X_96),X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)),join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299))) ),[1,1],$fot(join(meet(complement(X_297),X_96),X_299))]]) ).
cnf(refute_0_2536,plain,
( join(meet(complement(X_297),join(X_96,X_297)),X_299) != join(meet(complement(X_297),X_96),X_299)
| join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)) = join(X_297,join(meet(complement(X_297),X_96),X_299)) ),
inference(resolve,[$cnf( $equal(join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)),join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299))) )],[refute_0_2534,refute_0_2535]) ).
cnf(refute_0_2537,plain,
join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)) = join(X_297,join(meet(complement(X_297),X_96),X_299)),
inference(resolve,[$cnf( $equal(join(meet(complement(X_297),join(X_96,X_297)),X_299),join(meet(complement(X_297),X_96),X_299)) )],[refute_0_2533,refute_0_2536]) ).
cnf(refute_0_2538,plain,
( join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)) != join(X_297,join(meet(complement(X_297),X_96),X_299))
| join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)) != join(X_96,join(X_297,X_299))
| join(X_297,join(meet(complement(X_297),X_96),X_299)) = join(X_96,join(X_297,X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)),join(X_96,join(X_297,X_299))) ),[0],$fot(join(X_297,join(meet(complement(X_297),X_96),X_299)))]]) ).
cnf(refute_0_2539,plain,
( join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)) != join(X_96,join(X_297,X_299))
| join(X_297,join(meet(complement(X_297),X_96),X_299)) = join(X_96,join(X_297,X_299)) ),
inference(resolve,[$cnf( $equal(join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)),join(X_297,join(meet(complement(X_297),X_96),X_299))) )],[refute_0_2537,refute_0_2538]) ).
cnf(refute_0_2540,plain,
join(X_297,join(meet(complement(X_297),X_96),X_299)) = join(X_96,join(X_297,X_299)),
inference(resolve,[$cnf( $equal(join(X_297,join(meet(complement(X_297),join(X_96,X_297)),X_299)),join(X_96,join(X_297,X_299))) )],[refute_0_2517,refute_0_2539]) ).
cnf(refute_0_2541,plain,
join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) = join(join(X_129,join(X_609,X_131)),join(X_609,X_611)),
inference(subst,[],[refute_0_2540:[bind(X_297,$fot(X_609)),bind(X_299,$fot(X_611)),bind(X_96,$fot(join(X_129,join(X_609,X_131))))]]) ).
cnf(refute_0_2542,plain,
( join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) != join(join(X_129,join(X_609,X_131)),join(X_609,X_611))
| join(join(X_129,join(X_609,X_131)),join(X_609,X_611)) != join(X_609,join(join(X_129,join(X_609,X_131)),X_611))
| join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) = join(X_609,join(join(X_129,join(X_609,X_131)),X_611)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)))),bind(Y,$fot(join(join(X_129,join(X_609,X_131)),join(X_609,X_611)))),bind(Z,$fot(join(X_609,join(join(X_129,join(X_609,X_131)),X_611))))]]) ).
cnf(refute_0_2543,plain,
( join(join(X_129,join(X_609,X_131)),join(X_609,X_611)) != join(X_609,join(join(X_129,join(X_609,X_131)),X_611))
| join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) = join(X_609,join(join(X_129,join(X_609,X_131)),X_611)) ),
inference(resolve,[$cnf( $equal(join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)),join(join(X_129,join(X_609,X_131)),join(X_609,X_611))) )],[refute_0_2541,refute_0_2542]) ).
cnf(refute_0_2544,plain,
join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) = join(X_609,join(join(X_129,join(X_609,X_131)),X_611)),
inference(resolve,[$cnf( $equal(join(join(X_129,join(X_609,X_131)),join(X_609,X_611)),join(X_609,join(join(X_129,join(X_609,X_131)),X_611))) )],[refute_0_2448,refute_0_2543]) ).
cnf(refute_0_2545,plain,
( join(X_609,join(join(X_129,join(X_609,X_131)),X_611)) != join(X_131,join(X_611,join(X_129,X_609)))
| join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) != join(X_609,join(join(X_129,join(X_609,X_131)),X_611))
| join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) = join(X_131,join(X_611,join(X_129,X_609))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)))),bind(Y,$fot(join(X_609,join(join(X_129,join(X_609,X_131)),X_611)))),bind(Z,$fot(join(X_131,join(X_611,join(X_129,X_609)))))]]) ).
cnf(refute_0_2546,plain,
( join(X_609,join(join(X_129,join(X_609,X_131)),X_611)) != join(X_131,join(X_611,join(X_129,X_609)))
| join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) = join(X_131,join(X_611,join(X_129,X_609))) ),
inference(resolve,[$cnf( $equal(join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)),join(X_609,join(join(X_129,join(X_609,X_131)),X_611))) )],[refute_0_2544,refute_0_2545]) ).
cnf(refute_0_2547,plain,
join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) = join(X_131,join(X_611,join(X_129,X_609))),
inference(resolve,[$cnf( $equal(join(X_609,join(join(X_129,join(X_609,X_131)),X_611)),join(X_131,join(X_611,join(X_129,X_609)))) )],[refute_0_2447,refute_0_2546]) ).
cnf(refute_0_2548,plain,
( join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) != join(X_131,join(X_611,join(X_129,X_609)))
| join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) != join(join(X_129,join(X_609,X_131)),X_611)
| join(X_131,join(X_611,join(X_129,X_609))) = join(join(X_129,join(X_609,X_131)),X_611) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)),join(join(X_129,join(X_609,X_131)),X_611)) ),[0],$fot(join(X_131,join(X_611,join(X_129,X_609))))]]) ).
cnf(refute_0_2549,plain,
( join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) != join(join(X_129,join(X_609,X_131)),X_611)
| join(X_131,join(X_611,join(X_129,X_609))) = join(join(X_129,join(X_609,X_131)),X_611) ),
inference(resolve,[$cnf( $equal(join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)),join(X_131,join(X_611,join(X_129,X_609)))) )],[refute_0_2547,refute_0_2548]) ).
cnf(refute_0_2550,plain,
( join(X_131,join(X_611,join(X_129,X_609))) != join(join(X_129,join(X_609,X_131)),X_611)
| join(join(X_129,join(X_609,X_131)),X_611) != join(X_129,join(X_609,join(X_131,X_611)))
| join(X_131,join(X_611,join(X_129,X_609))) = join(X_129,join(X_609,join(X_131,X_611))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_131,join(X_611,join(X_129,X_609))),join(X_129,join(X_609,join(X_131,X_611)))) ),[0],$fot(join(join(X_129,join(X_609,X_131)),X_611))]]) ).
cnf(refute_0_2551,plain,
( join(X_131,join(X_611,join(X_129,X_609))) != join(join(X_129,join(X_609,X_131)),X_611)
| join(X_131,join(X_611,join(X_129,X_609))) = join(X_129,join(X_609,join(X_131,X_611))) ),
inference(resolve,[$cnf( $equal(join(join(X_129,join(X_609,X_131)),X_611),join(X_129,join(X_609,join(X_131,X_611)))) )],[refute_0_2440,refute_0_2550]) ).
cnf(refute_0_2552,plain,
( join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)) != join(join(X_129,join(X_609,X_131)),X_611)
| join(X_131,join(X_611,join(X_129,X_609))) = join(X_129,join(X_609,join(X_131,X_611))) ),
inference(resolve,[$cnf( $equal(join(X_131,join(X_611,join(X_129,X_609))),join(join(X_129,join(X_609,X_131)),X_611)) )],[refute_0_2549,refute_0_2551]) ).
cnf(refute_0_2553,plain,
join(X_131,join(X_611,join(X_129,X_609))) = join(X_129,join(X_609,join(X_131,X_611))),
inference(resolve,[$cnf( $equal(join(X_609,join(meet(complement(X_609),join(X_129,join(X_609,X_131))),X_611)),join(join(X_129,join(X_609,X_131)),X_611)) )],[refute_0_2426,refute_0_2552]) ).
cnf(refute_0_2554,plain,
( join(X_131,join(X_611,join(X_129,X_609))) != join(X_129,join(X_609,join(X_131,X_611)))
| join(X_129,join(X_609,join(X_131,X_611))) = join(X_131,join(X_611,join(X_129,X_609))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_131,join(X_611,join(X_129,X_609))))),bind(Y,$fot(join(X_129,join(X_609,join(X_131,X_611)))))]]) ).
cnf(refute_0_2555,plain,
join(X_129,join(X_609,join(X_131,X_611))) = join(X_131,join(X_611,join(X_129,X_609))),
inference(resolve,[$cnf( $equal(join(X_131,join(X_611,join(X_129,X_609))),join(X_129,join(X_609,join(X_131,X_611)))) )],[refute_0_2553,refute_0_2554]) ).
cnf(refute_0_2556,plain,
join(meet(X_618,complement(X_617)),join(X0,join(meet(X_618,X_617),X_619))) = join(meet(X_618,X_617),join(X_619,join(meet(X_618,complement(X_617)),X0))),
inference(subst,[],[refute_0_2555:[bind(X_129,$fot(meet(X_618,complement(X_617)))),bind(X_131,$fot(meet(X_618,X_617))),bind(X_609,$fot(X0)),bind(X_611,$fot(X_619))]]) ).
cnf(refute_0_2557,plain,
( join(meet(X_618,X_617),join(X_619,join(meet(X_618,complement(X_617)),X0))) != join(X_619,join(X_618,X0))
| join(meet(X_618,complement(X_617)),join(X0,join(meet(X_618,X_617),X_619))) != join(meet(X_618,X_617),join(X_619,join(meet(X_618,complement(X_617)),X0)))
| join(meet(X_618,complement(X_617)),join(X0,join(meet(X_618,X_617),X_619))) = join(X_619,join(X_618,X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_618,complement(X_617)),join(X0,join(meet(X_618,X_617),X_619))))),bind(Y,$fot(join(meet(X_618,X_617),join(X_619,join(meet(X_618,complement(X_617)),X0))))),bind(Z,$fot(join(X_619,join(X_618,X0))))]]) ).
cnf(refute_0_2558,plain,
( join(meet(X_618,X_617),join(X_619,join(meet(X_618,complement(X_617)),X0))) != join(X_619,join(X_618,X0))
| join(meet(X_618,complement(X_617)),join(X0,join(meet(X_618,X_617),X_619))) = join(X_619,join(X_618,X0)) ),
inference(resolve,[$cnf( $equal(join(meet(X_618,complement(X_617)),join(X0,join(meet(X_618,X_617),X_619))),join(meet(X_618,X_617),join(X_619,join(meet(X_618,complement(X_617)),X0)))) )],[refute_0_2556,refute_0_2557]) ).
cnf(refute_0_2559,plain,
join(meet(X_618,complement(X_617)),join(X0,join(meet(X_618,X_617),X_619))) = join(X_619,join(X_618,X0)),
inference(resolve,[$cnf( $equal(join(meet(X_618,X_617),join(X_619,join(meet(X_618,complement(X_617)),X0))),join(X_619,join(X_618,X0))) )],[refute_0_2415,refute_0_2558]) ).
cnf(refute_0_2560,plain,
join(join(X0,meet(X_618,X_617)),X_619) = join(X0,join(meet(X_618,X_617),X_619)),
inference(subst,[],[refute_0_262:[bind(X1,$fot(meet(X_618,X_617))),bind(X2,$fot(X_619))]]) ).
cnf(refute_0_2561,plain,
join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)) = join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)),
introduced(tautology,[refl,[$fot(join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)))]]) ).
cnf(refute_0_2562,plain,
( join(join(X0,meet(X_618,X_617)),X_619) != join(X0,join(meet(X_618,X_617),X_619))
| join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)) != join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619))
| join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)) = join(meet(X_618,complement(X_617)),join(X0,join(meet(X_618,X_617),X_619))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)),join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619))) ),[1,1],$fot(join(X0,join(meet(X_618,X_617),X_619)))]]) ).
cnf(refute_0_2563,plain,
( join(join(X0,meet(X_618,X_617)),X_619) != join(X0,join(meet(X_618,X_617),X_619))
| join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)) = join(meet(X_618,complement(X_617)),join(X0,join(meet(X_618,X_617),X_619))) ),
inference(resolve,[$cnf( $equal(join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)),join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619))) )],[refute_0_2561,refute_0_2562]) ).
cnf(refute_0_2564,plain,
join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)) = join(meet(X_618,complement(X_617)),join(X0,join(meet(X_618,X_617),X_619))),
inference(resolve,[$cnf( $equal(join(join(X0,meet(X_618,X_617)),X_619),join(X0,join(meet(X_618,X_617),X_619))) )],[refute_0_2560,refute_0_2563]) ).
cnf(refute_0_2565,plain,
( join(meet(X_618,complement(X_617)),join(X0,join(meet(X_618,X_617),X_619))) != join(X_619,join(X_618,X0))
| join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)) != join(meet(X_618,complement(X_617)),join(X0,join(meet(X_618,X_617),X_619)))
| join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)) = join(X_619,join(X_618,X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)))),bind(Y,$fot(join(meet(X_618,complement(X_617)),join(X0,join(meet(X_618,X_617),X_619))))),bind(Z,$fot(join(X_619,join(X_618,X0))))]]) ).
cnf(refute_0_2566,plain,
( join(meet(X_618,complement(X_617)),join(X0,join(meet(X_618,X_617),X_619))) != join(X_619,join(X_618,X0))
| join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)) = join(X_619,join(X_618,X0)) ),
inference(resolve,[$cnf( $equal(join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)),join(meet(X_618,complement(X_617)),join(X0,join(meet(X_618,X_617),X_619)))) )],[refute_0_2564,refute_0_2565]) ).
cnf(refute_0_2567,plain,
join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)) = join(X_619,join(X_618,X0)),
inference(resolve,[$cnf( $equal(join(meet(X_618,complement(X_617)),join(X0,join(meet(X_618,X_617),X_619))),join(X_619,join(X_618,X0))) )],[refute_0_2559,refute_0_2566]) ).
cnf(refute_0_2568,plain,
join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619)) = join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)),
inference(subst,[],[refute_0_1123:[bind(X0,$fot(meet(X_618,complement(X_617)))),bind(X1,$fot(X_619)),bind(X_179,$fot(join(X0,meet(X_618,X_617))))]]) ).
cnf(refute_0_2569,plain,
( join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619)) != join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619))
| join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)) != join(X_619,join(X_618,X0))
| join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619)) = join(X_619,join(X_618,X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619)))),bind(Y,$fot(join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)))),bind(Z,$fot(join(X_619,join(X_618,X0))))]]) ).
cnf(refute_0_2570,plain,
( join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)) != join(X_619,join(X_618,X0))
| join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619)) = join(X_619,join(X_618,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619)),join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619))) )],[refute_0_2568,refute_0_2569]) ).
cnf(refute_0_2571,plain,
join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619)) = join(X_619,join(X_618,X0)),
inference(resolve,[$cnf( $equal(join(meet(X_618,complement(X_617)),join(join(X0,meet(X_618,X_617)),X_619)),join(X_619,join(X_618,X0))) )],[refute_0_2567,refute_0_2570]) ).
cnf(refute_0_2572,plain,
( join(X0,join(X_618,X_619)) != join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619))
| join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619)) != join(X_619,join(X_618,X0))
| join(X0,join(X_618,X_619)) = join(X_619,join(X_618,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_618,X_619)),join(X_619,join(X_618,X0))) ),[0],$fot(join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619)))]]) ).
cnf(refute_0_2573,plain,
( join(X0,join(X_618,X_619)) != join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619))
| join(X0,join(X_618,X_619)) = join(X_619,join(X_618,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619)),join(X_619,join(X_618,X0))) )],[refute_0_2571,refute_0_2572]) ).
cnf(refute_0_2574,plain,
join(X0,join(X_618,X_619)) = join(X_619,join(X_618,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_618,X_619)),join(join(X0,meet(X_618,X_617)),join(meet(X_618,complement(X_617)),X_619))) )],[refute_0_2414,refute_0_2573]) ).
cnf(refute_0_2575,plain,
( join(X0,join(X_618,X_619)) != join(X_619,join(X_618,X0))
| join(X_619,join(X_618,X0)) = join(X0,join(X_618,X_619)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,join(X_618,X_619)))),bind(Y,$fot(join(X_619,join(X_618,X0))))]]) ).
cnf(refute_0_2576,plain,
join(X_619,join(X_618,X0)) = join(X0,join(X_618,X_619)),
inference(resolve,[$cnf( $equal(join(X0,join(X_618,X_619)),join(X_619,join(X_618,X0))) )],[refute_0_2574,refute_0_2575]) ).
cnf(refute_0_2577,plain,
join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))) = join(meet(X_39,X1),join(X_713,join(meet(X_39,complement(X1)),X_82))),
inference(subst,[],[refute_0_2576:[bind(X0,$fot(meet(X_39,X1))),bind(X_618,$fot(X_713)),bind(X_619,$fot(join(meet(X_39,complement(X1)),X_82)))]]) ).
cnf(refute_0_2578,plain,
( join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))) != join(meet(X_39,X1),join(X_713,join(meet(X_39,complement(X1)),X_82)))
| join(meet(X_39,X1),join(X_713,join(meet(X_39,complement(X1)),X_82))) != join(X_713,join(X_39,X_82))
| join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))) = join(X_713,join(X_39,X_82)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))))),bind(Y,$fot(join(meet(X_39,X1),join(X_713,join(meet(X_39,complement(X1)),X_82))))),bind(Z,$fot(join(X_713,join(X_39,X_82))))]]) ).
cnf(refute_0_2579,plain,
( join(meet(X_39,X1),join(X_713,join(meet(X_39,complement(X1)),X_82))) != join(X_713,join(X_39,X_82))
| join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))) = join(X_713,join(X_39,X_82)) ),
inference(resolve,[$cnf( $equal(join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))),join(meet(X_39,X1),join(X_713,join(meet(X_39,complement(X1)),X_82)))) )],[refute_0_2577,refute_0_2578]) ).
cnf(refute_0_2580,plain,
join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))) = join(X_713,join(X_39,X_82)),
inference(resolve,[$cnf( $equal(join(meet(X_39,X1),join(X_713,join(meet(X_39,complement(X1)),X_82))),join(X_713,join(X_39,X_82))) )],[refute_0_2410,refute_0_2579]) ).
cnf(refute_0_2581,plain,
( join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))) != join(X_713,join(X_39,X_82))
| join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))) != join(meet(X_39,X1),join(X_713,join(X_39,X_82)))
| join(X_713,join(X_39,X_82)) = join(meet(X_39,X1),join(X_713,join(X_39,X_82))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))),join(meet(X_39,X1),join(X_713,join(X_39,X_82)))) ),[0],$fot(join(X_713,join(X_39,X_82)))]]) ).
cnf(refute_0_2582,plain,
( join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))) != join(meet(X_39,X1),join(X_713,join(X_39,X_82)))
| join(X_713,join(X_39,X_82)) = join(meet(X_39,X1),join(X_713,join(X_39,X_82))) ),
inference(resolve,[$cnf( $equal(join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))),join(X_713,join(X_39,X_82))) )],[refute_0_2580,refute_0_2581]) ).
cnf(refute_0_2583,plain,
join(X_712,join(X_713,join(X_179,join(X_713,X0)))) = join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712))),
inference(subst,[],[refute_0_2371:[bind(X0,$fot(X_712)),bind(X_179,$fot(X_713)),bind(X_80,$fot(join(X_179,join(X_713,X0))))]]) ).
cnf(refute_0_2584,plain,
join(X0,join(X_179,X_713)) = join(X_713,join(X_179,join(X_713,X0))),
inference(subst,[],[refute_0_2371:[bind(X_80,$fot(X_713))]]) ).
cnf(refute_0_2585,plain,
( join(X0,join(X_179,X_713)) != join(X_713,join(X_179,join(X_713,X0)))
| join(X_713,join(X_179,join(X_713,X0))) = join(X0,join(X_179,X_713)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,join(X_179,X_713)))),bind(Y,$fot(join(X_713,join(X_179,join(X_713,X0)))))]]) ).
cnf(refute_0_2586,plain,
join(X_713,join(X_179,join(X_713,X0))) = join(X0,join(X_179,X_713)),
inference(resolve,[$cnf( $equal(join(X0,join(X_179,X_713)),join(X_713,join(X_179,join(X_713,X0)))) )],[refute_0_2584,refute_0_2585]) ).
cnf(refute_0_2587,plain,
( join(X_712,join(X_713,join(X_179,join(X_713,X0)))) != join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712)))
| join(X_713,join(X_179,join(X_713,X0))) != join(X0,join(X_179,X_713))
| join(X_712,join(X0,join(X_179,X_713))) = join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_712,join(X_713,join(X_179,join(X_713,X0)))),join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712)))) ),[0,1],$fot(join(X0,join(X_179,X_713)))]]) ).
cnf(refute_0_2588,plain,
( join(X_712,join(X_713,join(X_179,join(X_713,X0)))) != join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712)))
| join(X_712,join(X0,join(X_179,X_713))) = join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712))) ),
inference(resolve,[$cnf( $equal(join(X_713,join(X_179,join(X_713,X0))),join(X0,join(X_179,X_713))) )],[refute_0_2586,refute_0_2587]) ).
cnf(refute_0_2589,plain,
join(X_712,join(X0,join(X_179,X_713))) = join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712))),
inference(resolve,[$cnf( $equal(join(X_712,join(X_713,join(X_179,join(X_713,X0)))),join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712)))) )],[refute_0_2583,refute_0_2588]) ).
cnf(refute_0_2590,plain,
join(X_713,join(X_713,join(X0,join(X_712,X_179)))) = join(X_713,join(X0,join(X_712,X_179))),
inference(subst,[],[refute_0_1061:[bind(X_81,$fot(X_713)),bind(X_82,$fot(join(X0,join(X_712,X_179))))]]) ).
cnf(refute_0_2591,plain,
join(join(X_713,X0),join(X_712,X_179)) = join(X_713,join(X0,join(X_712,X_179))),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_713)),bind(X1,$fot(X0)),bind(X2,$fot(join(X_712,X_179)))]]) ).
cnf(refute_0_2592,plain,
join(X_179,join(X_712,join(X_179,join(X_713,X0)))) = join(join(X_713,X0),join(X_712,X_179)),
inference(subst,[],[refute_0_2380:[bind(X0,$fot(join(X_713,X0))),bind(X_179,$fot(X_712)),bind(X_80,$fot(X_179))]]) ).
cnf(refute_0_2593,plain,
( join(X_179,join(X_712,join(X_179,join(X_713,X0)))) != join(join(X_713,X0),join(X_712,X_179))
| join(join(X_713,X0),join(X_712,X_179)) != join(X_713,join(X0,join(X_712,X_179)))
| join(X_179,join(X_712,join(X_179,join(X_713,X0)))) = join(X_713,join(X0,join(X_712,X_179))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_179,join(X_712,join(X_179,join(X_713,X0)))))),bind(Y,$fot(join(join(X_713,X0),join(X_712,X_179)))),bind(Z,$fot(join(X_713,join(X0,join(X_712,X_179)))))]]) ).
cnf(refute_0_2594,plain,
( join(join(X_713,X0),join(X_712,X_179)) != join(X_713,join(X0,join(X_712,X_179)))
| join(X_179,join(X_712,join(X_179,join(X_713,X0)))) = join(X_713,join(X0,join(X_712,X_179))) ),
inference(resolve,[$cnf( $equal(join(X_179,join(X_712,join(X_179,join(X_713,X0)))),join(join(X_713,X0),join(X_712,X_179))) )],[refute_0_2592,refute_0_2593]) ).
cnf(refute_0_2595,plain,
join(X_179,join(X_712,join(X_179,join(X_713,X0)))) = join(X_713,join(X0,join(X_712,X_179))),
inference(resolve,[$cnf( $equal(join(join(X_713,X0),join(X_712,X_179)),join(X_713,join(X0,join(X_712,X_179)))) )],[refute_0_2591,refute_0_2594]) ).
cnf(refute_0_2596,plain,
join(X0,join(X_179,join(X_713,X0))) = join(X_179,join(X_713,X0)),
inference(subst,[],[refute_0_1113:[bind(X_179,$fot(X_713)),bind(X_80,$fot(X_179)),bind(X_81,$fot(X0))]]) ).
cnf(refute_0_2597,plain,
join(meet(X_47,join(X_364,join(X_365,X_47))),join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)) = join(join(X_364,join(X_365,X_47)),X_82),
inference(subst,[],[refute_0_1492:[bind(X_48,$fot(join(X_364,join(X_365,X_47))))]]) ).
cnf(refute_0_2598,plain,
X_39 = meet(X_39,join(X_39,join(X_130,X_131))),
inference(subst,[],[refute_0_878:[bind(X_94,$fot(join(X_130,X_131)))]]) ).
cnf(refute_0_2599,plain,
join(X_39,join(X_130,X_131)) = join(X_130,join(X_131,X_39)),
inference(subst,[],[refute_0_922:[bind(X0,$fot(X_39)),bind(X_80,$fot(X_130)),bind(X_81,$fot(X_131))]]) ).
cnf(refute_0_2600,plain,
( X_39 != meet(X_39,join(X_39,join(X_130,X_131)))
| join(X_39,join(X_130,X_131)) != join(X_130,join(X_131,X_39))
| X_39 = meet(X_39,join(X_130,join(X_131,X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(X_39,meet(X_39,join(X_39,join(X_130,X_131)))) ),[1,1],$fot(join(X_130,join(X_131,X_39)))]]) ).
cnf(refute_0_2601,plain,
( X_39 != meet(X_39,join(X_39,join(X_130,X_131)))
| X_39 = meet(X_39,join(X_130,join(X_131,X_39))) ),
inference(resolve,[$cnf( $equal(join(X_39,join(X_130,X_131)),join(X_130,join(X_131,X_39))) )],[refute_0_2599,refute_0_2600]) ).
cnf(refute_0_2602,plain,
X_39 = meet(X_39,join(X_130,join(X_131,X_39))),
inference(resolve,[$cnf( $equal(X_39,meet(X_39,join(X_39,join(X_130,X_131)))) )],[refute_0_2598,refute_0_2601]) ).
cnf(refute_0_2603,plain,
X_47 = meet(X_47,join(X_364,join(X_365,X_47))),
inference(subst,[],[refute_0_2602:[bind(X_130,$fot(X_364)),bind(X_131,$fot(X_365)),bind(X_39,$fot(X_47))]]) ).
cnf(refute_0_2604,plain,
( X_47 != meet(X_47,join(X_364,join(X_365,X_47)))
| meet(X_47,join(X_364,join(X_365,X_47))) = X_47 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_47)),bind(Y,$fot(meet(X_47,join(X_364,join(X_365,X_47)))))]]) ).
cnf(refute_0_2605,plain,
meet(X_47,join(X_364,join(X_365,X_47))) = X_47,
inference(resolve,[$cnf( $equal(X_47,meet(X_47,join(X_364,join(X_365,X_47)))) )],[refute_0_2603,refute_0_2604]) ).
cnf(refute_0_2606,plain,
( join(meet(X_47,join(X_364,join(X_365,X_47))),join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)) != join(join(X_364,join(X_365,X_47)),X_82)
| meet(X_47,join(X_364,join(X_365,X_47))) != X_47
| join(X_47,join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)) = join(join(X_364,join(X_365,X_47)),X_82) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_47,join(X_364,join(X_365,X_47))),join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)),join(join(X_364,join(X_365,X_47)),X_82)) ),[0,0],$fot(X_47)]]) ).
cnf(refute_0_2607,plain,
( join(meet(X_47,join(X_364,join(X_365,X_47))),join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)) != join(join(X_364,join(X_365,X_47)),X_82)
| join(X_47,join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)) = join(join(X_364,join(X_365,X_47)),X_82) ),
inference(resolve,[$cnf( $equal(meet(X_47,join(X_364,join(X_365,X_47))),X_47) )],[refute_0_2605,refute_0_2606]) ).
cnf(refute_0_2608,plain,
join(X_47,join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)) = join(join(X_364,join(X_365,X_47)),X_82),
inference(resolve,[$cnf( $equal(join(meet(X_47,join(X_364,join(X_365,X_47))),join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)),join(join(X_364,join(X_365,X_47)),X_82)) )],[refute_0_2597,refute_0_2607]) ).
cnf(refute_0_2609,plain,
join(join(X_365,X_47),X_82) = join(X_365,join(X_47,X_82)),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_365)),bind(X1,$fot(X_47)),bind(X2,$fot(X_82))]]) ).
cnf(refute_0_2610,plain,
join(X_364,join(join(X_365,X_47),X_82)) = join(X_364,join(join(X_365,X_47),X_82)),
introduced(tautology,[refl,[$fot(join(X_364,join(join(X_365,X_47),X_82)))]]) ).
cnf(refute_0_2611,plain,
( join(X_364,join(join(X_365,X_47),X_82)) != join(X_364,join(join(X_365,X_47),X_82))
| join(join(X_365,X_47),X_82) != join(X_365,join(X_47,X_82))
| join(X_364,join(join(X_365,X_47),X_82)) = join(X_364,join(X_365,join(X_47,X_82))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_364,join(join(X_365,X_47),X_82)),join(X_364,join(join(X_365,X_47),X_82))) ),[1,1],$fot(join(X_365,join(X_47,X_82)))]]) ).
cnf(refute_0_2612,plain,
( join(join(X_365,X_47),X_82) != join(X_365,join(X_47,X_82))
| join(X_364,join(join(X_365,X_47),X_82)) = join(X_364,join(X_365,join(X_47,X_82))) ),
inference(resolve,[$cnf( $equal(join(X_364,join(join(X_365,X_47),X_82)),join(X_364,join(join(X_365,X_47),X_82))) )],[refute_0_2610,refute_0_2611]) ).
cnf(refute_0_2613,plain,
join(X_364,join(join(X_365,X_47),X_82)) = join(X_364,join(X_365,join(X_47,X_82))),
inference(resolve,[$cnf( $equal(join(join(X_365,X_47),X_82),join(X_365,join(X_47,X_82))) )],[refute_0_2609,refute_0_2612]) ).
cnf(refute_0_2614,plain,
join(join(X_364,join(X_365,X_47)),X_82) = join(X_364,join(join(X_365,X_47),X_82)),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_364)),bind(X1,$fot(join(X_365,X_47))),bind(X2,$fot(X_82))]]) ).
cnf(refute_0_2615,plain,
( join(X_364,join(join(X_365,X_47),X_82)) != join(X_364,join(X_365,join(X_47,X_82)))
| join(join(X_364,join(X_365,X_47)),X_82) != join(X_364,join(join(X_365,X_47),X_82))
| join(join(X_364,join(X_365,X_47)),X_82) = join(X_364,join(X_365,join(X_47,X_82))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_364,join(X_365,X_47)),X_82))),bind(Y,$fot(join(X_364,join(join(X_365,X_47),X_82)))),bind(Z,$fot(join(X_364,join(X_365,join(X_47,X_82)))))]]) ).
cnf(refute_0_2616,plain,
( join(X_364,join(join(X_365,X_47),X_82)) != join(X_364,join(X_365,join(X_47,X_82)))
| join(join(X_364,join(X_365,X_47)),X_82) = join(X_364,join(X_365,join(X_47,X_82))) ),
inference(resolve,[$cnf( $equal(join(join(X_364,join(X_365,X_47)),X_82),join(X_364,join(join(X_365,X_47),X_82))) )],[refute_0_2614,refute_0_2615]) ).
cnf(refute_0_2617,plain,
join(join(X_364,join(X_365,X_47)),X_82) = join(X_364,join(X_365,join(X_47,X_82))),
inference(resolve,[$cnf( $equal(join(X_364,join(join(X_365,X_47),X_82)),join(X_364,join(X_365,join(X_47,X_82)))) )],[refute_0_2613,refute_0_2616]) ).
cnf(refute_0_2618,plain,
join(X_47,join(join(X_364,join(X_365,X_47)),X_82)) = join(X_47,join(join(X_364,join(X_365,X_47)),X_82)),
introduced(tautology,[refl,[$fot(join(X_47,join(join(X_364,join(X_365,X_47)),X_82)))]]) ).
cnf(refute_0_2619,plain,
( join(X_47,join(join(X_364,join(X_365,X_47)),X_82)) != join(X_47,join(join(X_364,join(X_365,X_47)),X_82))
| join(join(X_364,join(X_365,X_47)),X_82) != join(X_364,join(X_365,join(X_47,X_82)))
| join(X_47,join(join(X_364,join(X_365,X_47)),X_82)) = join(X_47,join(X_364,join(X_365,join(X_47,X_82)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_47,join(join(X_364,join(X_365,X_47)),X_82)),join(X_47,join(join(X_364,join(X_365,X_47)),X_82))) ),[1,1],$fot(join(X_364,join(X_365,join(X_47,X_82))))]]) ).
cnf(refute_0_2620,plain,
( join(join(X_364,join(X_365,X_47)),X_82) != join(X_364,join(X_365,join(X_47,X_82)))
| join(X_47,join(join(X_364,join(X_365,X_47)),X_82)) = join(X_47,join(X_364,join(X_365,join(X_47,X_82)))) ),
inference(resolve,[$cnf( $equal(join(X_47,join(join(X_364,join(X_365,X_47)),X_82)),join(X_47,join(join(X_364,join(X_365,X_47)),X_82))) )],[refute_0_2618,refute_0_2619]) ).
cnf(refute_0_2621,plain,
join(X_47,join(join(X_364,join(X_365,X_47)),X_82)) = join(X_47,join(X_364,join(X_365,join(X_47,X_82)))),
inference(resolve,[$cnf( $equal(join(join(X_364,join(X_365,X_47)),X_82),join(X_364,join(X_365,join(X_47,X_82)))) )],[refute_0_2617,refute_0_2620]) ).
cnf(refute_0_2622,plain,
join(meet(X_297,join(X_39,meet(X_297,complement(X_39)))),join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)) = join(join(X_39,meet(X_297,complement(X_39))),X_299),
inference(subst,[],[refute_0_1492:[bind(X_47,$fot(X_297)),bind(X_48,$fot(join(X_39,meet(X_297,complement(X_39))))),bind(X_82,$fot(X_299))]]) ).
cnf(refute_0_2623,plain,
X_297 = meet(X_297,join(X_39,meet(X_297,complement(X_39)))),
inference(subst,[],[refute_0_1701:[bind(X_168,$fot(X_297))]]) ).
cnf(refute_0_2624,plain,
( X_297 != meet(X_297,join(X_39,meet(X_297,complement(X_39))))
| meet(X_297,join(X_39,meet(X_297,complement(X_39)))) = X_297 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_297)),bind(Y,$fot(meet(X_297,join(X_39,meet(X_297,complement(X_39))))))]]) ).
cnf(refute_0_2625,plain,
meet(X_297,join(X_39,meet(X_297,complement(X_39)))) = X_297,
inference(resolve,[$cnf( $equal(X_297,meet(X_297,join(X_39,meet(X_297,complement(X_39))))) )],[refute_0_2623,refute_0_2624]) ).
cnf(refute_0_2626,plain,
( join(meet(X_297,join(X_39,meet(X_297,complement(X_39)))),join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)) != join(join(X_39,meet(X_297,complement(X_39))),X_299)
| meet(X_297,join(X_39,meet(X_297,complement(X_39)))) != X_297
| join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)) = join(join(X_39,meet(X_297,complement(X_39))),X_299) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_297,join(X_39,meet(X_297,complement(X_39)))),join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)),join(join(X_39,meet(X_297,complement(X_39))),X_299)) ),[0,0],$fot(X_297)]]) ).
cnf(refute_0_2627,plain,
( join(meet(X_297,join(X_39,meet(X_297,complement(X_39)))),join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)) != join(join(X_39,meet(X_297,complement(X_39))),X_299)
| join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)) = join(join(X_39,meet(X_297,complement(X_39))),X_299) ),
inference(resolve,[$cnf( $equal(meet(X_297,join(X_39,meet(X_297,complement(X_39)))),X_297) )],[refute_0_2625,refute_0_2626]) ).
cnf(refute_0_2628,plain,
join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)) = join(join(X_39,meet(X_297,complement(X_39))),X_299),
inference(resolve,[$cnf( $equal(join(meet(X_297,join(X_39,meet(X_297,complement(X_39)))),join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)),join(join(X_39,meet(X_297,complement(X_39))),X_299)) )],[refute_0_2622,refute_0_2627]) ).
cnf(refute_0_2629,plain,
meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)) = meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),
inference(subst,[],[refute_0_191:[bind(X_10,$fot(complement(X_297))),bind(X_11,$fot(join(X_39,meet(X_297,complement(X_39)))))]]) ).
cnf(refute_0_2630,plain,
join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299) = join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299),
introduced(tautology,[refl,[$fot(join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299))]]) ).
cnf(refute_0_2631,plain,
( join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299) != join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)
| meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)) != meet(complement(X_297),join(X_39,meet(X_297,complement(X_39))))
| join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299) = join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299),join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)) ),[1,0],$fot(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))))]]) ).
cnf(refute_0_2632,plain,
( meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)) != meet(complement(X_297),join(X_39,meet(X_297,complement(X_39))))
| join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299) = join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299),join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)) )],[refute_0_2630,refute_0_2631]) ).
cnf(refute_0_2633,plain,
join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299) = join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299),
inference(resolve,[$cnf( $equal(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),meet(complement(X_297),join(X_39,meet(X_297,complement(X_39))))) )],[refute_0_2629,refute_0_2632]) ).
cnf(refute_0_2634,plain,
join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)) = join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)),
introduced(tautology,[refl,[$fot(join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)))]]) ).
cnf(refute_0_2635,plain,
( join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)) != join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299))
| join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299) != join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)
| join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)) = join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)),join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299))) ),[1,1],$fot(join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299))]]) ).
cnf(refute_0_2636,plain,
( join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299) != join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)
| join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)) = join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) ),
inference(resolve,[$cnf( $equal(join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)),join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299))) )],[refute_0_2634,refute_0_2635]) ).
cnf(refute_0_2637,plain,
join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)) = join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)),
inference(resolve,[$cnf( $equal(join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299),join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) )],[refute_0_2633,refute_0_2636]) ).
cnf(refute_0_2638,plain,
( join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)) != join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299))
| join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)) != join(join(X_39,meet(X_297,complement(X_39))),X_299)
| join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) = join(join(X_39,meet(X_297,complement(X_39))),X_299) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)),join(join(X_39,meet(X_297,complement(X_39))),X_299)) ),[0],$fot(join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)))]]) ).
cnf(refute_0_2639,plain,
( join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)) != join(join(X_39,meet(X_297,complement(X_39))),X_299)
| join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) = join(join(X_39,meet(X_297,complement(X_39))),X_299) ),
inference(resolve,[$cnf( $equal(join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)),join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299))) )],[refute_0_2637,refute_0_2638]) ).
cnf(refute_0_2640,plain,
join(join(X_39,meet(X_297,complement(X_39))),X_299) = join(X_39,join(meet(X_297,complement(X_39)),X_299)),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_39)),bind(X1,$fot(meet(X_297,complement(X_39)))),bind(X2,$fot(X_299))]]) ).
cnf(refute_0_2641,plain,
( join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) != join(join(X_39,meet(X_297,complement(X_39))),X_299)
| join(join(X_39,meet(X_297,complement(X_39))),X_299) != join(X_39,join(meet(X_297,complement(X_39)),X_299))
| join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) = join(X_39,join(meet(X_297,complement(X_39)),X_299)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)),join(X_39,join(meet(X_297,complement(X_39)),X_299))) ),[0],$fot(join(join(X_39,meet(X_297,complement(X_39))),X_299))]]) ).
cnf(refute_0_2642,plain,
( join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) != join(join(X_39,meet(X_297,complement(X_39))),X_299)
| join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) = join(X_39,join(meet(X_297,complement(X_39)),X_299)) ),
inference(resolve,[$cnf( $equal(join(join(X_39,meet(X_297,complement(X_39))),X_299),join(X_39,join(meet(X_297,complement(X_39)),X_299))) )],[refute_0_2640,refute_0_2641]) ).
cnf(refute_0_2643,plain,
( join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)) != join(join(X_39,meet(X_297,complement(X_39))),X_299)
| join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) = join(X_39,join(meet(X_297,complement(X_39)),X_299)) ),
inference(resolve,[$cnf( $equal(join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)),join(join(X_39,meet(X_297,complement(X_39))),X_299)) )],[refute_0_2639,refute_0_2642]) ).
cnf(refute_0_2644,plain,
join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) = join(X_39,join(meet(X_297,complement(X_39)),X_299)),
inference(resolve,[$cnf( $equal(join(X_297,join(meet(join(X_39,meet(X_297,complement(X_39))),complement(X_297)),X_299)),join(join(X_39,meet(X_297,complement(X_39))),X_299)) )],[refute_0_2628,refute_0_2643]) ).
cnf(refute_0_2645,plain,
join(X_297,join(meet(complement(X_297),join(X_39,X_297)),X_299)) = join(X_39,join(X_297,X_299)),
inference(subst,[],[refute_0_2517:[bind(X_96,$fot(X_39))]]) ).
cnf(refute_0_2646,plain,
join(X_39,meet(X_297,complement(X_39))) = join(X_39,X_297),
inference(subst,[],[refute_0_1811:[bind(X_224,$fot(X_39)),bind(X_39,$fot(X_297))]]) ).
cnf(refute_0_2647,plain,
meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))) = meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),
introduced(tautology,[refl,[$fot(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))))]]) ).
cnf(refute_0_2648,plain,
( join(X_39,meet(X_297,complement(X_39))) != join(X_39,X_297)
| meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))) != meet(complement(X_297),join(X_39,meet(X_297,complement(X_39))))
| meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))) = meet(complement(X_297),join(X_39,X_297)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),meet(complement(X_297),join(X_39,meet(X_297,complement(X_39))))) ),[1,1],$fot(join(X_39,X_297))]]) ).
cnf(refute_0_2649,plain,
( join(X_39,meet(X_297,complement(X_39))) != join(X_39,X_297)
| meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))) = meet(complement(X_297),join(X_39,X_297)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),meet(complement(X_297),join(X_39,meet(X_297,complement(X_39))))) )],[refute_0_2647,refute_0_2648]) ).
cnf(refute_0_2650,plain,
meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))) = meet(complement(X_297),join(X_39,X_297)),
inference(resolve,[$cnf( $equal(join(X_39,meet(X_297,complement(X_39))),join(X_39,X_297)) )],[refute_0_2646,refute_0_2649]) ).
cnf(refute_0_2651,plain,
join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299) = join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299),
introduced(tautology,[refl,[$fot(join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299))]]) ).
cnf(refute_0_2652,plain,
( join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299) != join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)
| meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))) != meet(complement(X_297),join(X_39,X_297))
| join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299) = join(meet(complement(X_297),join(X_39,X_297)),X_299) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299),join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) ),[1,0],$fot(meet(complement(X_297),join(X_39,X_297)))]]) ).
cnf(refute_0_2653,plain,
( meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))) != meet(complement(X_297),join(X_39,X_297))
| join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299) = join(meet(complement(X_297),join(X_39,X_297)),X_299) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299),join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) )],[refute_0_2651,refute_0_2652]) ).
cnf(refute_0_2654,plain,
join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299) = join(meet(complement(X_297),join(X_39,X_297)),X_299),
inference(resolve,[$cnf( $equal(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),meet(complement(X_297),join(X_39,X_297))) )],[refute_0_2650,refute_0_2653]) ).
cnf(refute_0_2655,plain,
join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) = join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)),
introduced(tautology,[refl,[$fot(join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)))]]) ).
cnf(refute_0_2656,plain,
( join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) != join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299))
| join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299) != join(meet(complement(X_297),join(X_39,X_297)),X_299)
| join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) = join(X_297,join(meet(complement(X_297),join(X_39,X_297)),X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)),join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299))) ),[1,1],$fot(join(meet(complement(X_297),join(X_39,X_297)),X_299))]]) ).
cnf(refute_0_2657,plain,
( join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299) != join(meet(complement(X_297),join(X_39,X_297)),X_299)
| join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) = join(X_297,join(meet(complement(X_297),join(X_39,X_297)),X_299)) ),
inference(resolve,[$cnf( $equal(join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)),join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299))) )],[refute_0_2655,refute_0_2656]) ).
cnf(refute_0_2658,plain,
join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) = join(X_297,join(meet(complement(X_297),join(X_39,X_297)),X_299)),
inference(resolve,[$cnf( $equal(join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299),join(meet(complement(X_297),join(X_39,X_297)),X_299)) )],[refute_0_2654,refute_0_2657]) ).
cnf(refute_0_2659,plain,
( join(X_297,join(meet(complement(X_297),join(X_39,X_297)),X_299)) != join(X_39,join(X_297,X_299))
| join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) != join(X_297,join(meet(complement(X_297),join(X_39,X_297)),X_299))
| join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) = join(X_39,join(X_297,X_299)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)))),bind(Y,$fot(join(X_297,join(meet(complement(X_297),join(X_39,X_297)),X_299)))),bind(Z,$fot(join(X_39,join(X_297,X_299))))]]) ).
cnf(refute_0_2660,plain,
( join(X_297,join(meet(complement(X_297),join(X_39,X_297)),X_299)) != join(X_39,join(X_297,X_299))
| join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) = join(X_39,join(X_297,X_299)) ),
inference(resolve,[$cnf( $equal(join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)),join(X_297,join(meet(complement(X_297),join(X_39,X_297)),X_299))) )],[refute_0_2658,refute_0_2659]) ).
cnf(refute_0_2661,plain,
join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) = join(X_39,join(X_297,X_299)),
inference(resolve,[$cnf( $equal(join(X_297,join(meet(complement(X_297),join(X_39,X_297)),X_299)),join(X_39,join(X_297,X_299))) )],[refute_0_2645,refute_0_2660]) ).
cnf(refute_0_2662,plain,
( join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) != join(X_39,join(X_297,X_299))
| join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) != join(X_39,join(meet(X_297,complement(X_39)),X_299))
| join(X_39,join(X_297,X_299)) = join(X_39,join(meet(X_297,complement(X_39)),X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)),join(X_39,join(meet(X_297,complement(X_39)),X_299))) ),[0],$fot(join(X_39,join(X_297,X_299)))]]) ).
cnf(refute_0_2663,plain,
( join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)) != join(X_39,join(meet(X_297,complement(X_39)),X_299))
| join(X_39,join(X_297,X_299)) = join(X_39,join(meet(X_297,complement(X_39)),X_299)) ),
inference(resolve,[$cnf( $equal(join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)),join(X_39,join(X_297,X_299))) )],[refute_0_2661,refute_0_2662]) ).
cnf(refute_0_2664,plain,
join(X_39,join(X_297,X_299)) = join(X_39,join(meet(X_297,complement(X_39)),X_299)),
inference(resolve,[$cnf( $equal(join(X_297,join(meet(complement(X_297),join(X_39,meet(X_297,complement(X_39)))),X_299)),join(X_39,join(meet(X_297,complement(X_39)),X_299))) )],[refute_0_2644,refute_0_2663]) ).
cnf(refute_0_2665,plain,
( join(X_39,join(X_297,X_299)) != join(X_39,join(meet(X_297,complement(X_39)),X_299))
| join(X_39,join(meet(X_297,complement(X_39)),X_299)) = join(X_39,join(X_297,X_299)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_39,join(X_297,X_299)))),bind(Y,$fot(join(X_39,join(meet(X_297,complement(X_39)),X_299))))]]) ).
cnf(refute_0_2666,plain,
join(X_39,join(meet(X_297,complement(X_39)),X_299)) = join(X_39,join(X_297,X_299)),
inference(resolve,[$cnf( $equal(join(X_39,join(X_297,X_299)),join(X_39,join(meet(X_297,complement(X_39)),X_299))) )],[refute_0_2664,refute_0_2665]) ).
cnf(refute_0_2667,plain,
join(X_47,join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)) = join(X_47,join(join(X_364,join(X_365,X_47)),X_82)),
inference(subst,[],[refute_0_2666:[bind(X_297,$fot(join(X_364,join(X_365,X_47)))),bind(X_299,$fot(X_82)),bind(X_39,$fot(X_47))]]) ).
cnf(refute_0_2668,plain,
( join(X_47,join(join(X_364,join(X_365,X_47)),X_82)) != join(X_47,join(X_364,join(X_365,join(X_47,X_82))))
| join(X_47,join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)) != join(X_47,join(join(X_364,join(X_365,X_47)),X_82))
| join(X_47,join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)) = join(X_47,join(X_364,join(X_365,join(X_47,X_82)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_47,join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)))),bind(Y,$fot(join(X_47,join(join(X_364,join(X_365,X_47)),X_82)))),bind(Z,$fot(join(X_47,join(X_364,join(X_365,join(X_47,X_82))))))]]) ).
cnf(refute_0_2669,plain,
( join(X_47,join(join(X_364,join(X_365,X_47)),X_82)) != join(X_47,join(X_364,join(X_365,join(X_47,X_82))))
| join(X_47,join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)) = join(X_47,join(X_364,join(X_365,join(X_47,X_82)))) ),
inference(resolve,[$cnf( $equal(join(X_47,join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)),join(X_47,join(join(X_364,join(X_365,X_47)),X_82))) )],[refute_0_2667,refute_0_2668]) ).
cnf(refute_0_2670,plain,
join(X_47,join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)) = join(X_47,join(X_364,join(X_365,join(X_47,X_82)))),
inference(resolve,[$cnf( $equal(join(X_47,join(join(X_364,join(X_365,X_47)),X_82)),join(X_47,join(X_364,join(X_365,join(X_47,X_82))))) )],[refute_0_2621,refute_0_2669]) ).
cnf(refute_0_2671,plain,
( join(X_47,join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)) != join(X_47,join(X_364,join(X_365,join(X_47,X_82))))
| join(X_47,join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)) != join(join(X_364,join(X_365,X_47)),X_82)
| join(X_47,join(X_364,join(X_365,join(X_47,X_82)))) = join(join(X_364,join(X_365,X_47)),X_82) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_47,join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)),join(join(X_364,join(X_365,X_47)),X_82)) ),[0],$fot(join(X_47,join(X_364,join(X_365,join(X_47,X_82)))))]]) ).
cnf(refute_0_2672,plain,
( join(X_47,join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)) != join(join(X_364,join(X_365,X_47)),X_82)
| join(X_47,join(X_364,join(X_365,join(X_47,X_82)))) = join(join(X_364,join(X_365,X_47)),X_82) ),
inference(resolve,[$cnf( $equal(join(X_47,join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)),join(X_47,join(X_364,join(X_365,join(X_47,X_82))))) )],[refute_0_2670,refute_0_2671]) ).
cnf(refute_0_2673,plain,
( join(X_47,join(X_364,join(X_365,join(X_47,X_82)))) != join(join(X_364,join(X_365,X_47)),X_82)
| join(join(X_364,join(X_365,X_47)),X_82) != join(X_364,join(X_365,join(X_47,X_82)))
| join(X_47,join(X_364,join(X_365,join(X_47,X_82)))) = join(X_364,join(X_365,join(X_47,X_82))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_47,join(X_364,join(X_365,join(X_47,X_82)))),join(X_364,join(X_365,join(X_47,X_82)))) ),[0],$fot(join(join(X_364,join(X_365,X_47)),X_82))]]) ).
cnf(refute_0_2674,plain,
( join(X_47,join(X_364,join(X_365,join(X_47,X_82)))) != join(join(X_364,join(X_365,X_47)),X_82)
| join(X_47,join(X_364,join(X_365,join(X_47,X_82)))) = join(X_364,join(X_365,join(X_47,X_82))) ),
inference(resolve,[$cnf( $equal(join(join(X_364,join(X_365,X_47)),X_82),join(X_364,join(X_365,join(X_47,X_82)))) )],[refute_0_2617,refute_0_2673]) ).
cnf(refute_0_2675,plain,
( join(X_47,join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)) != join(join(X_364,join(X_365,X_47)),X_82)
| join(X_47,join(X_364,join(X_365,join(X_47,X_82)))) = join(X_364,join(X_365,join(X_47,X_82))) ),
inference(resolve,[$cnf( $equal(join(X_47,join(X_364,join(X_365,join(X_47,X_82)))),join(join(X_364,join(X_365,X_47)),X_82)) )],[refute_0_2672,refute_0_2674]) ).
cnf(refute_0_2676,plain,
join(X_47,join(X_364,join(X_365,join(X_47,X_82)))) = join(X_364,join(X_365,join(X_47,X_82))),
inference(resolve,[$cnf( $equal(join(X_47,join(meet(join(X_364,join(X_365,X_47)),complement(X_47)),X_82)),join(join(X_364,join(X_365,X_47)),X_82)) )],[refute_0_2608,refute_0_2675]) ).
cnf(refute_0_2677,plain,
join(X_713,join(X0,join(X_179,join(X_713,X0)))) = join(X0,join(X_179,join(X_713,X0))),
inference(subst,[],[refute_0_2676:[bind(X_364,$fot(X0)),bind(X_365,$fot(X_179)),bind(X_47,$fot(X_713)),bind(X_82,$fot(X0))]]) ).
cnf(refute_0_2678,plain,
( join(X0,join(X_179,join(X_713,X0))) != join(X_179,join(X_713,X0))
| join(X_713,join(X0,join(X_179,join(X_713,X0)))) != join(X0,join(X_179,join(X_713,X0)))
| join(X_713,join(X0,join(X_179,join(X_713,X0)))) = join(X_179,join(X_713,X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_713,join(X0,join(X_179,join(X_713,X0)))))),bind(Y,$fot(join(X0,join(X_179,join(X_713,X0))))),bind(Z,$fot(join(X_179,join(X_713,X0))))]]) ).
cnf(refute_0_2679,plain,
( join(X0,join(X_179,join(X_713,X0))) != join(X_179,join(X_713,X0))
| join(X_713,join(X0,join(X_179,join(X_713,X0)))) = join(X_179,join(X_713,X0)) ),
inference(resolve,[$cnf( $equal(join(X_713,join(X0,join(X_179,join(X_713,X0)))),join(X0,join(X_179,join(X_713,X0)))) )],[refute_0_2677,refute_0_2678]) ).
cnf(refute_0_2680,plain,
join(X_713,join(X0,join(X_179,join(X_713,X0)))) = join(X_179,join(X_713,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_179,join(X_713,X0))),join(X_179,join(X_713,X0))) )],[refute_0_2596,refute_0_2679]) ).
cnf(refute_0_2681,plain,
join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0))))) = join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0))))),
introduced(tautology,[refl,[$fot(join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0))))))]]) ).
cnf(refute_0_2682,plain,
( join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0))))) != join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0)))))
| join(X_713,join(X0,join(X_179,join(X_713,X0)))) != join(X_179,join(X_713,X0))
| join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0))))) = join(X_712,join(X_179,join(X_713,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0))))),join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0)))))) ),[1,1],$fot(join(X_179,join(X_713,X0)))]]) ).
cnf(refute_0_2683,plain,
( join(X_713,join(X0,join(X_179,join(X_713,X0)))) != join(X_179,join(X_713,X0))
| join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0))))) = join(X_712,join(X_179,join(X_713,X0))) ),
inference(resolve,[$cnf( $equal(join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0))))),join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0)))))) )],[refute_0_2681,refute_0_2682]) ).
cnf(refute_0_2684,plain,
join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0))))) = join(X_712,join(X_179,join(X_713,X0))),
inference(resolve,[$cnf( $equal(join(X_713,join(X0,join(X_179,join(X_713,X0)))),join(X_179,join(X_713,X0))) )],[refute_0_2680,refute_0_2683]) ).
cnf(refute_0_2685,plain,
join(join(X_713,join(X_80,X_712)),join(X_179,X_80)) = join(X_80,join(X_179,join(X_80,join(X_713,join(X_80,X_712))))),
inference(subst,[],[refute_0_2371:[bind(X0,$fot(join(X_713,join(X_80,X_712))))]]) ).
cnf(refute_0_2686,plain,
join(X_712,join(X_713,X_80)) = join(X_80,join(X_713,join(X_80,X_712))),
inference(subst,[],[refute_0_2371:[bind(X0,$fot(X_712)),bind(X_179,$fot(X_713))]]) ).
cnf(refute_0_2687,plain,
( join(X_712,join(X_713,X_80)) != join(X_80,join(X_713,join(X_80,X_712)))
| join(X_80,join(X_713,join(X_80,X_712))) = join(X_712,join(X_713,X_80)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_712,join(X_713,X_80)))),bind(Y,$fot(join(X_80,join(X_713,join(X_80,X_712)))))]]) ).
cnf(refute_0_2688,plain,
join(X_80,join(X_713,join(X_80,X_712))) = join(X_712,join(X_713,X_80)),
inference(resolve,[$cnf( $equal(join(X_712,join(X_713,X_80)),join(X_80,join(X_713,join(X_80,X_712)))) )],[refute_0_2686,refute_0_2687]) ).
cnf(refute_0_2689,plain,
( join(X_80,join(X_713,join(X_80,X_712))) != join(X_712,join(X_713,X_80))
| join(join(X_713,join(X_80,X_712)),join(X_179,X_80)) != join(X_80,join(X_179,join(X_80,join(X_713,join(X_80,X_712)))))
| join(join(X_713,join(X_80,X_712)),join(X_179,X_80)) = join(X_80,join(X_179,join(X_712,join(X_713,X_80)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_713,join(X_80,X_712)),join(X_179,X_80)),join(X_80,join(X_179,join(X_80,join(X_713,join(X_80,X_712)))))) ),[1,1,1],$fot(join(X_712,join(X_713,X_80)))]]) ).
cnf(refute_0_2690,plain,
( join(join(X_713,join(X_80,X_712)),join(X_179,X_80)) != join(X_80,join(X_179,join(X_80,join(X_713,join(X_80,X_712)))))
| join(join(X_713,join(X_80,X_712)),join(X_179,X_80)) = join(X_80,join(X_179,join(X_712,join(X_713,X_80)))) ),
inference(resolve,[$cnf( $equal(join(X_80,join(X_713,join(X_80,X_712))),join(X_712,join(X_713,X_80))) )],[refute_0_2688,refute_0_2689]) ).
cnf(refute_0_2691,plain,
join(join(X_713,join(X_80,X_712)),join(X_179,X_80)) = join(X_80,join(X_179,join(X_712,join(X_713,X_80)))),
inference(resolve,[$cnf( $equal(join(join(X_713,join(X_80,X_712)),join(X_179,X_80)),join(X_80,join(X_179,join(X_80,join(X_713,join(X_80,X_712)))))) )],[refute_0_2685,refute_0_2690]) ).
cnf(refute_0_2692,plain,
join(X_80,join(X_179,join(X_713,join(X_80,X_712)))) = join(X_179,join(X_713,join(X_80,X_712))),
inference(subst,[],[refute_0_2676:[bind(X_364,$fot(X_179)),bind(X_365,$fot(X_713)),bind(X_47,$fot(X_80)),bind(X_82,$fot(X_712))]]) ).
cnf(refute_0_2693,plain,
join(join(X_713,join(X_80,X_712)),join(X_179,X_80)) = join(X_80,join(X_179,join(X_713,join(X_80,X_712)))),
inference(subst,[],[refute_0_2576:[bind(X0,$fot(X_80)),bind(X_618,$fot(X_179)),bind(X_619,$fot(join(X_713,join(X_80,X_712))))]]) ).
cnf(refute_0_2694,plain,
( join(X_80,join(X_179,join(X_713,join(X_80,X_712)))) != join(X_179,join(X_713,join(X_80,X_712)))
| join(join(X_713,join(X_80,X_712)),join(X_179,X_80)) != join(X_80,join(X_179,join(X_713,join(X_80,X_712))))
| join(join(X_713,join(X_80,X_712)),join(X_179,X_80)) = join(X_179,join(X_713,join(X_80,X_712))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_713,join(X_80,X_712)),join(X_179,X_80)))),bind(Y,$fot(join(X_80,join(X_179,join(X_713,join(X_80,X_712)))))),bind(Z,$fot(join(X_179,join(X_713,join(X_80,X_712)))))]]) ).
cnf(refute_0_2695,plain,
( join(X_80,join(X_179,join(X_713,join(X_80,X_712)))) != join(X_179,join(X_713,join(X_80,X_712)))
| join(join(X_713,join(X_80,X_712)),join(X_179,X_80)) = join(X_179,join(X_713,join(X_80,X_712))) ),
inference(resolve,[$cnf( $equal(join(join(X_713,join(X_80,X_712)),join(X_179,X_80)),join(X_80,join(X_179,join(X_713,join(X_80,X_712))))) )],[refute_0_2693,refute_0_2694]) ).
cnf(refute_0_2696,plain,
join(join(X_713,join(X_80,X_712)),join(X_179,X_80)) = join(X_179,join(X_713,join(X_80,X_712))),
inference(resolve,[$cnf( $equal(join(X_80,join(X_179,join(X_713,join(X_80,X_712)))),join(X_179,join(X_713,join(X_80,X_712)))) )],[refute_0_2692,refute_0_2695]) ).
cnf(refute_0_2697,plain,
( join(join(X_713,join(X_80,X_712)),join(X_179,X_80)) != join(X_179,join(X_713,join(X_80,X_712)))
| join(join(X_713,join(X_80,X_712)),join(X_179,X_80)) != join(X_80,join(X_179,join(X_712,join(X_713,X_80))))
| join(X_179,join(X_713,join(X_80,X_712))) = join(X_80,join(X_179,join(X_712,join(X_713,X_80)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_713,join(X_80,X_712)),join(X_179,X_80)),join(X_80,join(X_179,join(X_712,join(X_713,X_80))))) ),[0],$fot(join(X_179,join(X_713,join(X_80,X_712))))]]) ).
cnf(refute_0_2698,plain,
( join(join(X_713,join(X_80,X_712)),join(X_179,X_80)) != join(X_80,join(X_179,join(X_712,join(X_713,X_80))))
| join(X_179,join(X_713,join(X_80,X_712))) = join(X_80,join(X_179,join(X_712,join(X_713,X_80)))) ),
inference(resolve,[$cnf( $equal(join(join(X_713,join(X_80,X_712)),join(X_179,X_80)),join(X_179,join(X_713,join(X_80,X_712)))) )],[refute_0_2696,refute_0_2697]) ).
cnf(refute_0_2699,plain,
join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))) = join(X_80,join(X_179,join(X_710,join(X_709,X_179)))),
inference(subst,[],[refute_0_1113:[bind(X_81,$fot(join(X_710,join(X_709,X_179))))]]) ).
cnf(refute_0_2700,plain,
join(X_179,join(X_710,join(X_709,X_179))) = join(X_710,join(X_709,X_179)),
inference(subst,[],[refute_0_1113:[bind(X_179,$fot(X_709)),bind(X_80,$fot(X_710)),bind(X_81,$fot(X_179))]]) ).
cnf(refute_0_2701,plain,
( join(X_179,join(X_710,join(X_709,X_179))) != join(X_710,join(X_709,X_179))
| join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))) != join(X_80,join(X_179,join(X_710,join(X_709,X_179))))
| join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))) = join(X_80,join(X_710,join(X_709,X_179))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))) ),[1,1],$fot(join(X_710,join(X_709,X_179)))]]) ).
cnf(refute_0_2702,plain,
( join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))) != join(X_80,join(X_179,join(X_710,join(X_709,X_179))))
| join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))) = join(X_80,join(X_710,join(X_709,X_179))) ),
inference(resolve,[$cnf( $equal(join(X_179,join(X_710,join(X_709,X_179))),join(X_710,join(X_709,X_179))) )],[refute_0_2700,refute_0_2701]) ).
cnf(refute_0_2703,plain,
join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))) = join(X_80,join(X_710,join(X_709,X_179))),
inference(resolve,[$cnf( $equal(join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))) )],[refute_0_2699,refute_0_2702]) ).
cnf(refute_0_2704,plain,
join(X_710,join(X_710,join(X_709,X_179))) = join(X_710,join(X_709,X_179)),
inference(subst,[],[refute_0_1061:[bind(X_81,$fot(X_710)),bind(X_82,$fot(join(X_709,X_179)))]]) ).
cnf(refute_0_2705,plain,
join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179)))) = join(X_710,join(X_710,join(X_709,X_179))),
inference(subst,[],[refute_0_1113:[bind(X_179,$fot(X_710)),bind(X_80,$fot(X_710)),bind(X_81,$fot(join(X_709,X_179)))]]) ).
cnf(refute_0_2706,plain,
( join(X_710,join(X_710,join(X_709,X_179))) != join(X_710,join(X_709,X_179))
| join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179)))) != join(X_710,join(X_710,join(X_709,X_179)))
| join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179)))) = join(X_710,join(X_709,X_179)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179)))))),bind(Y,$fot(join(X_710,join(X_710,join(X_709,X_179))))),bind(Z,$fot(join(X_710,join(X_709,X_179))))]]) ).
cnf(refute_0_2707,plain,
( join(X_710,join(X_710,join(X_709,X_179))) != join(X_710,join(X_709,X_179))
| join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179)))) = join(X_710,join(X_709,X_179)) ),
inference(resolve,[$cnf( $equal(join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179)))),join(X_710,join(X_710,join(X_709,X_179)))) )],[refute_0_2705,refute_0_2706]) ).
cnf(refute_0_2708,plain,
join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179)))) = join(X_710,join(X_709,X_179)),
inference(resolve,[$cnf( $equal(join(X_710,join(X_710,join(X_709,X_179))),join(X_710,join(X_709,X_179))) )],[refute_0_2704,refute_0_2707]) ).
cnf(refute_0_2709,plain,
join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179))))) = join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179))))),
introduced(tautology,[refl,[$fot(join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179))))))]]) ).
cnf(refute_0_2710,plain,
( join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179))))) != join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179)))))
| join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179)))) != join(X_710,join(X_709,X_179))
| join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179))))) = join(X_80,join(X_710,join(X_709,X_179))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179))))),join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179)))))) ),[1,1],$fot(join(X_710,join(X_709,X_179)))]]) ).
cnf(refute_0_2711,plain,
( join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179)))) != join(X_710,join(X_709,X_179))
| join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179))))) = join(X_80,join(X_710,join(X_709,X_179))) ),
inference(resolve,[$cnf( $equal(join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179))))),join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179)))))) )],[refute_0_2709,refute_0_2710]) ).
cnf(refute_0_2712,plain,
join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179))))) = join(X_80,join(X_710,join(X_709,X_179))),
inference(resolve,[$cnf( $equal(join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179)))),join(X_710,join(X_709,X_179))) )],[refute_0_2708,refute_0_2711]) ).
cnf(refute_0_2713,plain,
join(X0,join(X1,join(X_650,X_651))) = join(join(X0,X1),join(X_650,X_651)),
inference(subst,[],[refute_0_260:[bind(X2,$fot(join(X_650,X_651)))]]) ).
cnf(refute_0_2714,plain,
join(X0,join(meet(X_609,X_610),join(meet(complement(X_609),X_610),X_611))) = join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611)),
inference(subst,[],[refute_0_260:[bind(X1,$fot(meet(X_609,X_610))),bind(X2,$fot(join(meet(complement(X_609),X_610),X_611)))]]) ).
cnf(refute_0_2715,plain,
join(meet(X_609,X_610),join(meet(complement(X_609),X_610),X_611)) = join(X_610,X_611),
inference(subst,[],[refute_0_2419:[bind(X_72,$fot(X_609)),bind(X_73,$fot(X_610)),bind(X_82,$fot(X_611))]]) ).
cnf(refute_0_2716,plain,
( join(X0,join(meet(X_609,X_610),join(meet(complement(X_609),X_610),X_611))) != join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611))
| join(meet(X_609,X_610),join(meet(complement(X_609),X_610),X_611)) != join(X_610,X_611)
| join(X0,join(X_610,X_611)) = join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(meet(X_609,X_610),join(meet(complement(X_609),X_610),X_611))),join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611))) ),[0,1],$fot(join(X_610,X_611))]]) ).
cnf(refute_0_2717,plain,
( join(X0,join(meet(X_609,X_610),join(meet(complement(X_609),X_610),X_611))) != join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611))
| join(X0,join(X_610,X_611)) = join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611)) ),
inference(resolve,[$cnf( $equal(join(meet(X_609,X_610),join(meet(complement(X_609),X_610),X_611)),join(X_610,X_611)) )],[refute_0_2715,refute_0_2716]) ).
cnf(refute_0_2718,plain,
join(X0,join(X_610,X_611)) = join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611)),
inference(resolve,[$cnf( $equal(join(X0,join(meet(X_609,X_610),join(meet(complement(X_609),X_610),X_611))),join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611))) )],[refute_0_2714,refute_0_2717]) ).
cnf(refute_0_2719,plain,
join(meet(X_609,X_610),join(X_81,join(meet(complement(X_609),X_610),X_611))) = join(X_81,join(meet(X_609,X_610),join(meet(complement(X_609),X_610),X_611))),
inference(subst,[],[refute_0_414:[bind(X_80,$fot(meet(X_609,X_610))),bind(X_82,$fot(join(meet(complement(X_609),X_610),X_611)))]]) ).
cnf(refute_0_2720,plain,
( join(meet(X_609,X_610),join(X_81,join(meet(complement(X_609),X_610),X_611))) != join(X_81,join(meet(X_609,X_610),join(meet(complement(X_609),X_610),X_611)))
| join(meet(X_609,X_610),join(meet(complement(X_609),X_610),X_611)) != join(X_610,X_611)
| join(meet(X_609,X_610),join(X_81,join(meet(complement(X_609),X_610),X_611))) = join(X_81,join(X_610,X_611)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_609,X_610),join(X_81,join(meet(complement(X_609),X_610),X_611))),join(X_81,join(meet(X_609,X_610),join(meet(complement(X_609),X_610),X_611)))) ),[1,1],$fot(join(X_610,X_611))]]) ).
cnf(refute_0_2721,plain,
( join(meet(X_609,X_610),join(X_81,join(meet(complement(X_609),X_610),X_611))) != join(X_81,join(meet(X_609,X_610),join(meet(complement(X_609),X_610),X_611)))
| join(meet(X_609,X_610),join(X_81,join(meet(complement(X_609),X_610),X_611))) = join(X_81,join(X_610,X_611)) ),
inference(resolve,[$cnf( $equal(join(meet(X_609,X_610),join(meet(complement(X_609),X_610),X_611)),join(X_610,X_611)) )],[refute_0_2715,refute_0_2720]) ).
cnf(refute_0_2722,plain,
join(meet(X_609,X_610),join(X_81,join(meet(complement(X_609),X_610),X_611))) = join(X_81,join(X_610,X_611)),
inference(resolve,[$cnf( $equal(join(meet(X_609,X_610),join(X_81,join(meet(complement(X_609),X_610),X_611))),join(X_81,join(meet(X_609,X_610),join(meet(complement(X_609),X_610),X_611)))) )],[refute_0_2719,refute_0_2721]) ).
cnf(refute_0_2723,plain,
join(meet(X_609,X_610),join(X_611,join(meet(complement(X_609),X_610),X0))) = join(X_611,join(X_610,X0)),
inference(subst,[],[refute_0_2722:[bind(X_611,$fot(X0)),bind(X_81,$fot(X_611))]]) ).
cnf(refute_0_2724,plain,
join(meet(X_47,join(X_367,join(X_47,X_368))),join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)) = join(join(X_367,join(X_47,X_368)),X_82),
inference(subst,[],[refute_0_1492:[bind(X_48,$fot(join(X_367,join(X_47,X_368))))]]) ).
cnf(refute_0_2725,plain,
X_47 = meet(X_47,join(X_367,join(X_47,X_368))),
inference(subst,[],[refute_0_1595:[bind(X_129,$fot(X_367)),bind(X_131,$fot(X_368)),bind(X_39,$fot(X_47))]]) ).
cnf(refute_0_2726,plain,
( X_47 != meet(X_47,join(X_367,join(X_47,X_368)))
| meet(X_47,join(X_367,join(X_47,X_368))) = X_47 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_47)),bind(Y,$fot(meet(X_47,join(X_367,join(X_47,X_368)))))]]) ).
cnf(refute_0_2727,plain,
meet(X_47,join(X_367,join(X_47,X_368))) = X_47,
inference(resolve,[$cnf( $equal(X_47,meet(X_47,join(X_367,join(X_47,X_368)))) )],[refute_0_2725,refute_0_2726]) ).
cnf(refute_0_2728,plain,
( join(meet(X_47,join(X_367,join(X_47,X_368))),join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)) != join(join(X_367,join(X_47,X_368)),X_82)
| meet(X_47,join(X_367,join(X_47,X_368))) != X_47
| join(X_47,join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)) = join(join(X_367,join(X_47,X_368)),X_82) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_47,join(X_367,join(X_47,X_368))),join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)),join(join(X_367,join(X_47,X_368)),X_82)) ),[0,0],$fot(X_47)]]) ).
cnf(refute_0_2729,plain,
( join(meet(X_47,join(X_367,join(X_47,X_368))),join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)) != join(join(X_367,join(X_47,X_368)),X_82)
| join(X_47,join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)) = join(join(X_367,join(X_47,X_368)),X_82) ),
inference(resolve,[$cnf( $equal(meet(X_47,join(X_367,join(X_47,X_368))),X_47) )],[refute_0_2727,refute_0_2728]) ).
cnf(refute_0_2730,plain,
join(X_47,join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)) = join(join(X_367,join(X_47,X_368)),X_82),
inference(resolve,[$cnf( $equal(join(meet(X_47,join(X_367,join(X_47,X_368))),join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)),join(join(X_367,join(X_47,X_368)),X_82)) )],[refute_0_2724,refute_0_2729]) ).
cnf(refute_0_2731,plain,
join(join(X_368,X_82),join(X_367,X_47)) = join(X_368,join(X_82,join(X_367,X_47))),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_368)),bind(X1,$fot(X_82)),bind(X2,$fot(join(X_367,X_47)))]]) ).
cnf(refute_0_2732,plain,
join(X_47,join(X_367,join(X_47,join(X_368,X_82)))) = join(join(X_368,X_82),join(X_367,X_47)),
inference(subst,[],[refute_0_2380:[bind(X0,$fot(join(X_368,X_82))),bind(X_179,$fot(X_367)),bind(X_80,$fot(X_47))]]) ).
cnf(refute_0_2733,plain,
( join(X_47,join(X_367,join(X_47,join(X_368,X_82)))) != join(join(X_368,X_82),join(X_367,X_47))
| join(join(X_368,X_82),join(X_367,X_47)) != join(X_368,join(X_82,join(X_367,X_47)))
| join(X_47,join(X_367,join(X_47,join(X_368,X_82)))) = join(X_368,join(X_82,join(X_367,X_47))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_47,join(X_367,join(X_47,join(X_368,X_82)))))),bind(Y,$fot(join(join(X_368,X_82),join(X_367,X_47)))),bind(Z,$fot(join(X_368,join(X_82,join(X_367,X_47)))))]]) ).
cnf(refute_0_2734,plain,
( join(join(X_368,X_82),join(X_367,X_47)) != join(X_368,join(X_82,join(X_367,X_47)))
| join(X_47,join(X_367,join(X_47,join(X_368,X_82)))) = join(X_368,join(X_82,join(X_367,X_47))) ),
inference(resolve,[$cnf( $equal(join(X_47,join(X_367,join(X_47,join(X_368,X_82)))),join(join(X_368,X_82),join(X_367,X_47))) )],[refute_0_2732,refute_0_2733]) ).
cnf(refute_0_2735,plain,
join(X_47,join(X_367,join(X_47,join(X_368,X_82)))) = join(X_368,join(X_82,join(X_367,X_47))),
inference(resolve,[$cnf( $equal(join(join(X_368,X_82),join(X_367,X_47)),join(X_368,join(X_82,join(X_367,X_47)))) )],[refute_0_2731,refute_0_2734]) ).
cnf(refute_0_2736,plain,
join(join(X_47,X_368),X_82) = join(X_47,join(X_368,X_82)),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_47)),bind(X1,$fot(X_368)),bind(X2,$fot(X_82))]]) ).
cnf(refute_0_2737,plain,
join(X_367,join(join(X_47,X_368),X_82)) = join(X_367,join(join(X_47,X_368),X_82)),
introduced(tautology,[refl,[$fot(join(X_367,join(join(X_47,X_368),X_82)))]]) ).
cnf(refute_0_2738,plain,
( join(X_367,join(join(X_47,X_368),X_82)) != join(X_367,join(join(X_47,X_368),X_82))
| join(join(X_47,X_368),X_82) != join(X_47,join(X_368,X_82))
| join(X_367,join(join(X_47,X_368),X_82)) = join(X_367,join(X_47,join(X_368,X_82))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_367,join(join(X_47,X_368),X_82)),join(X_367,join(join(X_47,X_368),X_82))) ),[1,1],$fot(join(X_47,join(X_368,X_82)))]]) ).
cnf(refute_0_2739,plain,
( join(join(X_47,X_368),X_82) != join(X_47,join(X_368,X_82))
| join(X_367,join(join(X_47,X_368),X_82)) = join(X_367,join(X_47,join(X_368,X_82))) ),
inference(resolve,[$cnf( $equal(join(X_367,join(join(X_47,X_368),X_82)),join(X_367,join(join(X_47,X_368),X_82))) )],[refute_0_2737,refute_0_2738]) ).
cnf(refute_0_2740,plain,
join(X_367,join(join(X_47,X_368),X_82)) = join(X_367,join(X_47,join(X_368,X_82))),
inference(resolve,[$cnf( $equal(join(join(X_47,X_368),X_82),join(X_47,join(X_368,X_82))) )],[refute_0_2736,refute_0_2739]) ).
cnf(refute_0_2741,plain,
join(join(X_367,join(X_47,X_368)),X_82) = join(X_367,join(join(X_47,X_368),X_82)),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_367)),bind(X1,$fot(join(X_47,X_368))),bind(X2,$fot(X_82))]]) ).
cnf(refute_0_2742,plain,
( join(X_367,join(join(X_47,X_368),X_82)) != join(X_367,join(X_47,join(X_368,X_82)))
| join(join(X_367,join(X_47,X_368)),X_82) != join(X_367,join(join(X_47,X_368),X_82))
| join(join(X_367,join(X_47,X_368)),X_82) = join(X_367,join(X_47,join(X_368,X_82))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_367,join(X_47,X_368)),X_82))),bind(Y,$fot(join(X_367,join(join(X_47,X_368),X_82)))),bind(Z,$fot(join(X_367,join(X_47,join(X_368,X_82)))))]]) ).
cnf(refute_0_2743,plain,
( join(X_367,join(join(X_47,X_368),X_82)) != join(X_367,join(X_47,join(X_368,X_82)))
| join(join(X_367,join(X_47,X_368)),X_82) = join(X_367,join(X_47,join(X_368,X_82))) ),
inference(resolve,[$cnf( $equal(join(join(X_367,join(X_47,X_368)),X_82),join(X_367,join(join(X_47,X_368),X_82))) )],[refute_0_2741,refute_0_2742]) ).
cnf(refute_0_2744,plain,
join(join(X_367,join(X_47,X_368)),X_82) = join(X_367,join(X_47,join(X_368,X_82))),
inference(resolve,[$cnf( $equal(join(X_367,join(join(X_47,X_368),X_82)),join(X_367,join(X_47,join(X_368,X_82)))) )],[refute_0_2740,refute_0_2743]) ).
cnf(refute_0_2745,plain,
join(X_47,join(join(X_367,join(X_47,X_368)),X_82)) = join(X_47,join(join(X_367,join(X_47,X_368)),X_82)),
introduced(tautology,[refl,[$fot(join(X_47,join(join(X_367,join(X_47,X_368)),X_82)))]]) ).
cnf(refute_0_2746,plain,
( join(X_47,join(join(X_367,join(X_47,X_368)),X_82)) != join(X_47,join(join(X_367,join(X_47,X_368)),X_82))
| join(join(X_367,join(X_47,X_368)),X_82) != join(X_367,join(X_47,join(X_368,X_82)))
| join(X_47,join(join(X_367,join(X_47,X_368)),X_82)) = join(X_47,join(X_367,join(X_47,join(X_368,X_82)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_47,join(join(X_367,join(X_47,X_368)),X_82)),join(X_47,join(join(X_367,join(X_47,X_368)),X_82))) ),[1,1],$fot(join(X_367,join(X_47,join(X_368,X_82))))]]) ).
cnf(refute_0_2747,plain,
( join(join(X_367,join(X_47,X_368)),X_82) != join(X_367,join(X_47,join(X_368,X_82)))
| join(X_47,join(join(X_367,join(X_47,X_368)),X_82)) = join(X_47,join(X_367,join(X_47,join(X_368,X_82)))) ),
inference(resolve,[$cnf( $equal(join(X_47,join(join(X_367,join(X_47,X_368)),X_82)),join(X_47,join(join(X_367,join(X_47,X_368)),X_82))) )],[refute_0_2745,refute_0_2746]) ).
cnf(refute_0_2748,plain,
join(X_47,join(join(X_367,join(X_47,X_368)),X_82)) = join(X_47,join(X_367,join(X_47,join(X_368,X_82)))),
inference(resolve,[$cnf( $equal(join(join(X_367,join(X_47,X_368)),X_82),join(X_367,join(X_47,join(X_368,X_82)))) )],[refute_0_2744,refute_0_2747]) ).
cnf(refute_0_2749,plain,
( join(X_47,join(X_367,join(X_47,join(X_368,X_82)))) != join(X_368,join(X_82,join(X_367,X_47)))
| join(X_47,join(join(X_367,join(X_47,X_368)),X_82)) != join(X_47,join(X_367,join(X_47,join(X_368,X_82))))
| join(X_47,join(join(X_367,join(X_47,X_368)),X_82)) = join(X_368,join(X_82,join(X_367,X_47))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_47,join(join(X_367,join(X_47,X_368)),X_82)))),bind(Y,$fot(join(X_47,join(X_367,join(X_47,join(X_368,X_82)))))),bind(Z,$fot(join(X_368,join(X_82,join(X_367,X_47)))))]]) ).
cnf(refute_0_2750,plain,
( join(X_47,join(X_367,join(X_47,join(X_368,X_82)))) != join(X_368,join(X_82,join(X_367,X_47)))
| join(X_47,join(join(X_367,join(X_47,X_368)),X_82)) = join(X_368,join(X_82,join(X_367,X_47))) ),
inference(resolve,[$cnf( $equal(join(X_47,join(join(X_367,join(X_47,X_368)),X_82)),join(X_47,join(X_367,join(X_47,join(X_368,X_82))))) )],[refute_0_2748,refute_0_2749]) ).
cnf(refute_0_2751,plain,
join(X_47,join(join(X_367,join(X_47,X_368)),X_82)) = join(X_368,join(X_82,join(X_367,X_47))),
inference(resolve,[$cnf( $equal(join(X_47,join(X_367,join(X_47,join(X_368,X_82)))),join(X_368,join(X_82,join(X_367,X_47)))) )],[refute_0_2735,refute_0_2750]) ).
cnf(refute_0_2752,plain,
join(X_47,join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)) = join(X_47,join(join(X_367,join(X_47,X_368)),X_82)),
inference(subst,[],[refute_0_2666:[bind(X_297,$fot(join(X_367,join(X_47,X_368)))),bind(X_299,$fot(X_82)),bind(X_39,$fot(X_47))]]) ).
cnf(refute_0_2753,plain,
( join(X_47,join(join(X_367,join(X_47,X_368)),X_82)) != join(X_368,join(X_82,join(X_367,X_47)))
| join(X_47,join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)) != join(X_47,join(join(X_367,join(X_47,X_368)),X_82))
| join(X_47,join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)) = join(X_368,join(X_82,join(X_367,X_47))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_47,join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)))),bind(Y,$fot(join(X_47,join(join(X_367,join(X_47,X_368)),X_82)))),bind(Z,$fot(join(X_368,join(X_82,join(X_367,X_47)))))]]) ).
cnf(refute_0_2754,plain,
( join(X_47,join(join(X_367,join(X_47,X_368)),X_82)) != join(X_368,join(X_82,join(X_367,X_47)))
| join(X_47,join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)) = join(X_368,join(X_82,join(X_367,X_47))) ),
inference(resolve,[$cnf( $equal(join(X_47,join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)),join(X_47,join(join(X_367,join(X_47,X_368)),X_82))) )],[refute_0_2752,refute_0_2753]) ).
cnf(refute_0_2755,plain,
join(X_47,join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)) = join(X_368,join(X_82,join(X_367,X_47))),
inference(resolve,[$cnf( $equal(join(X_47,join(join(X_367,join(X_47,X_368)),X_82)),join(X_368,join(X_82,join(X_367,X_47)))) )],[refute_0_2751,refute_0_2754]) ).
cnf(refute_0_2756,plain,
( join(X_47,join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)) != join(X_368,join(X_82,join(X_367,X_47)))
| join(X_47,join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)) != join(join(X_367,join(X_47,X_368)),X_82)
| join(X_368,join(X_82,join(X_367,X_47))) = join(join(X_367,join(X_47,X_368)),X_82) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_47,join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)),join(join(X_367,join(X_47,X_368)),X_82)) ),[0],$fot(join(X_368,join(X_82,join(X_367,X_47))))]]) ).
cnf(refute_0_2757,plain,
( join(X_47,join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)) != join(join(X_367,join(X_47,X_368)),X_82)
| join(X_368,join(X_82,join(X_367,X_47))) = join(join(X_367,join(X_47,X_368)),X_82) ),
inference(resolve,[$cnf( $equal(join(X_47,join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)),join(X_368,join(X_82,join(X_367,X_47)))) )],[refute_0_2755,refute_0_2756]) ).
cnf(refute_0_2758,plain,
( join(X_368,join(X_82,join(X_367,X_47))) != join(join(X_367,join(X_47,X_368)),X_82)
| join(join(X_367,join(X_47,X_368)),X_82) != join(X_367,join(X_47,join(X_368,X_82)))
| join(X_368,join(X_82,join(X_367,X_47))) = join(X_367,join(X_47,join(X_368,X_82))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_368,join(X_82,join(X_367,X_47))),join(X_367,join(X_47,join(X_368,X_82)))) ),[0],$fot(join(join(X_367,join(X_47,X_368)),X_82))]]) ).
cnf(refute_0_2759,plain,
( join(X_368,join(X_82,join(X_367,X_47))) != join(join(X_367,join(X_47,X_368)),X_82)
| join(X_368,join(X_82,join(X_367,X_47))) = join(X_367,join(X_47,join(X_368,X_82))) ),
inference(resolve,[$cnf( $equal(join(join(X_367,join(X_47,X_368)),X_82),join(X_367,join(X_47,join(X_368,X_82)))) )],[refute_0_2744,refute_0_2758]) ).
cnf(refute_0_2760,plain,
( join(X_47,join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)) != join(join(X_367,join(X_47,X_368)),X_82)
| join(X_368,join(X_82,join(X_367,X_47))) = join(X_367,join(X_47,join(X_368,X_82))) ),
inference(resolve,[$cnf( $equal(join(X_368,join(X_82,join(X_367,X_47))),join(join(X_367,join(X_47,X_368)),X_82)) )],[refute_0_2757,refute_0_2759]) ).
cnf(refute_0_2761,plain,
join(X_368,join(X_82,join(X_367,X_47))) = join(X_367,join(X_47,join(X_368,X_82))),
inference(resolve,[$cnf( $equal(join(X_47,join(meet(join(X_367,join(X_47,X_368)),complement(X_47)),X_82)),join(join(X_367,join(X_47,X_368)),X_82)) )],[refute_0_2730,refute_0_2760]) ).
cnf(refute_0_2762,plain,
( join(X_368,join(X_82,join(X_367,X_47))) != join(X_367,join(X_47,join(X_368,X_82)))
| join(X_367,join(X_47,join(X_368,X_82))) = join(X_368,join(X_82,join(X_367,X_47))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_368,join(X_82,join(X_367,X_47))))),bind(Y,$fot(join(X_367,join(X_47,join(X_368,X_82)))))]]) ).
cnf(refute_0_2763,plain,
join(X_367,join(X_47,join(X_368,X_82))) = join(X_368,join(X_82,join(X_367,X_47))),
inference(resolve,[$cnf( $equal(join(X_368,join(X_82,join(X_367,X_47))),join(X_367,join(X_47,join(X_368,X_82)))) )],[refute_0_2761,refute_0_2762]) ).
cnf(refute_0_2764,plain,
join(meet(complement(X_609),X_610),join(X0,join(meet(X_609,X_610),X_611))) = join(meet(X_609,X_610),join(X_611,join(meet(complement(X_609),X_610),X0))),
inference(subst,[],[refute_0_2763:[bind(X_367,$fot(meet(complement(X_609),X_610))),bind(X_368,$fot(meet(X_609,X_610))),bind(X_47,$fot(X0)),bind(X_82,$fot(X_611))]]) ).
cnf(refute_0_2765,plain,
( join(meet(X_609,X_610),join(X_611,join(meet(complement(X_609),X_610),X0))) != join(X_611,join(X_610,X0))
| join(meet(complement(X_609),X_610),join(X0,join(meet(X_609,X_610),X_611))) != join(meet(X_609,X_610),join(X_611,join(meet(complement(X_609),X_610),X0)))
| join(meet(complement(X_609),X_610),join(X0,join(meet(X_609,X_610),X_611))) = join(X_611,join(X_610,X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(complement(X_609),X_610),join(X0,join(meet(X_609,X_610),X_611))))),bind(Y,$fot(join(meet(X_609,X_610),join(X_611,join(meet(complement(X_609),X_610),X0))))),bind(Z,$fot(join(X_611,join(X_610,X0))))]]) ).
cnf(refute_0_2766,plain,
( join(meet(X_609,X_610),join(X_611,join(meet(complement(X_609),X_610),X0))) != join(X_611,join(X_610,X0))
| join(meet(complement(X_609),X_610),join(X0,join(meet(X_609,X_610),X_611))) = join(X_611,join(X_610,X0)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_609),X_610),join(X0,join(meet(X_609,X_610),X_611))),join(meet(X_609,X_610),join(X_611,join(meet(complement(X_609),X_610),X0)))) )],[refute_0_2764,refute_0_2765]) ).
cnf(refute_0_2767,plain,
join(meet(complement(X_609),X_610),join(X0,join(meet(X_609,X_610),X_611))) = join(X_611,join(X_610,X0)),
inference(resolve,[$cnf( $equal(join(meet(X_609,X_610),join(X_611,join(meet(complement(X_609),X_610),X0))),join(X_611,join(X_610,X0))) )],[refute_0_2723,refute_0_2766]) ).
cnf(refute_0_2768,plain,
join(join(X0,meet(X_609,X_610)),X_611) = join(X0,join(meet(X_609,X_610),X_611)),
inference(subst,[],[refute_0_262:[bind(X1,$fot(meet(X_609,X_610))),bind(X2,$fot(X_611))]]) ).
cnf(refute_0_2769,plain,
join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)) = join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)),
introduced(tautology,[refl,[$fot(join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)))]]) ).
cnf(refute_0_2770,plain,
( join(join(X0,meet(X_609,X_610)),X_611) != join(X0,join(meet(X_609,X_610),X_611))
| join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)) != join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611))
| join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)) = join(meet(complement(X_609),X_610),join(X0,join(meet(X_609,X_610),X_611))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)),join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611))) ),[1,1],$fot(join(X0,join(meet(X_609,X_610),X_611)))]]) ).
cnf(refute_0_2771,plain,
( join(join(X0,meet(X_609,X_610)),X_611) != join(X0,join(meet(X_609,X_610),X_611))
| join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)) = join(meet(complement(X_609),X_610),join(X0,join(meet(X_609,X_610),X_611))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)),join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611))) )],[refute_0_2769,refute_0_2770]) ).
cnf(refute_0_2772,plain,
join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)) = join(meet(complement(X_609),X_610),join(X0,join(meet(X_609,X_610),X_611))),
inference(resolve,[$cnf( $equal(join(join(X0,meet(X_609,X_610)),X_611),join(X0,join(meet(X_609,X_610),X_611))) )],[refute_0_2768,refute_0_2771]) ).
cnf(refute_0_2773,plain,
( join(meet(complement(X_609),X_610),join(X0,join(meet(X_609,X_610),X_611))) != join(X_611,join(X_610,X0))
| join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)) != join(meet(complement(X_609),X_610),join(X0,join(meet(X_609,X_610),X_611)))
| join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)) = join(X_611,join(X_610,X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)))),bind(Y,$fot(join(meet(complement(X_609),X_610),join(X0,join(meet(X_609,X_610),X_611))))),bind(Z,$fot(join(X_611,join(X_610,X0))))]]) ).
cnf(refute_0_2774,plain,
( join(meet(complement(X_609),X_610),join(X0,join(meet(X_609,X_610),X_611))) != join(X_611,join(X_610,X0))
| join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)) = join(X_611,join(X_610,X0)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)),join(meet(complement(X_609),X_610),join(X0,join(meet(X_609,X_610),X_611)))) )],[refute_0_2772,refute_0_2773]) ).
cnf(refute_0_2775,plain,
join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)) = join(X_611,join(X_610,X0)),
inference(resolve,[$cnf( $equal(join(meet(complement(X_609),X_610),join(X0,join(meet(X_609,X_610),X_611))),join(X_611,join(X_610,X0))) )],[refute_0_2767,refute_0_2774]) ).
cnf(refute_0_2776,plain,
join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611)) = join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)),
inference(subst,[],[refute_0_1123:[bind(X0,$fot(meet(complement(X_609),X_610))),bind(X1,$fot(X_611)),bind(X_179,$fot(join(X0,meet(X_609,X_610))))]]) ).
cnf(refute_0_2777,plain,
( join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611)) != join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611))
| join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)) != join(X_611,join(X_610,X0))
| join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611)) = join(X_611,join(X_610,X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611)))),bind(Y,$fot(join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)))),bind(Z,$fot(join(X_611,join(X_610,X0))))]]) ).
cnf(refute_0_2778,plain,
( join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)) != join(X_611,join(X_610,X0))
| join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611)) = join(X_611,join(X_610,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611)),join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611))) )],[refute_0_2776,refute_0_2777]) ).
cnf(refute_0_2779,plain,
join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611)) = join(X_611,join(X_610,X0)),
inference(resolve,[$cnf( $equal(join(meet(complement(X_609),X_610),join(join(X0,meet(X_609,X_610)),X_611)),join(X_611,join(X_610,X0))) )],[refute_0_2775,refute_0_2778]) ).
cnf(refute_0_2780,plain,
( join(X0,join(X_610,X_611)) != join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611))
| join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611)) != join(X_611,join(X_610,X0))
| join(X0,join(X_610,X_611)) = join(X_611,join(X_610,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_610,X_611)),join(X_611,join(X_610,X0))) ),[0],$fot(join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611)))]]) ).
cnf(refute_0_2781,plain,
( join(X0,join(X_610,X_611)) != join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611))
| join(X0,join(X_610,X_611)) = join(X_611,join(X_610,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611)),join(X_611,join(X_610,X0))) )],[refute_0_2779,refute_0_2780]) ).
cnf(refute_0_2782,plain,
join(X0,join(X_610,X_611)) = join(X_611,join(X_610,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_610,X_611)),join(join(X0,meet(X_609,X_610)),join(meet(complement(X_609),X_610),X_611))) )],[refute_0_2718,refute_0_2781]) ).
cnf(refute_0_2783,plain,
join(X1,join(X_650,X_651)) = join(X_651,join(X_650,X1)),
inference(subst,[],[refute_0_2782:[bind(X0,$fot(X1)),bind(X_610,$fot(X_650)),bind(X_611,$fot(X_651))]]) ).
cnf(refute_0_2784,plain,
( join(X0,join(X1,join(X_650,X_651))) != join(join(X0,X1),join(X_650,X_651))
| join(X1,join(X_650,X_651)) != join(X_651,join(X_650,X1))
| join(X0,join(X_651,join(X_650,X1))) = join(join(X0,X1),join(X_650,X_651)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(X_650,X_651))),join(join(X0,X1),join(X_650,X_651))) ),[0,1],$fot(join(X_651,join(X_650,X1)))]]) ).
cnf(refute_0_2785,plain,
( join(X0,join(X1,join(X_650,X_651))) != join(join(X0,X1),join(X_650,X_651))
| join(X0,join(X_651,join(X_650,X1))) = join(join(X0,X1),join(X_650,X_651)) ),
inference(resolve,[$cnf( $equal(join(X1,join(X_650,X_651)),join(X_651,join(X_650,X1))) )],[refute_0_2783,refute_0_2784]) ).
cnf(refute_0_2786,plain,
join(X0,join(X_651,join(X_650,X1))) = join(join(X0,X1),join(X_650,X_651)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_650,X_651))),join(join(X0,X1),join(X_650,X_651))) )],[refute_0_2713,refute_0_2785]) ).
cnf(refute_0_2787,plain,
join(join(X0,X1),join(X_650,X_651)) = join(X0,join(X1,join(X_650,X_651))),
inference(subst,[],[refute_0_262:[bind(X2,$fot(join(X_650,X_651)))]]) ).
cnf(refute_0_2788,plain,
( join(X0,join(X_651,join(X_650,X1))) != join(join(X0,X1),join(X_650,X_651))
| join(join(X0,X1),join(X_650,X_651)) != join(X0,join(X1,join(X_650,X_651)))
| join(X0,join(X_651,join(X_650,X1))) = join(X0,join(X1,join(X_650,X_651))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_651,join(X_650,X1))),join(X0,join(X1,join(X_650,X_651)))) ),[0],$fot(join(join(X0,X1),join(X_650,X_651)))]]) ).
cnf(refute_0_2789,plain,
( join(X0,join(X_651,join(X_650,X1))) != join(join(X0,X1),join(X_650,X_651))
| join(X0,join(X_651,join(X_650,X1))) = join(X0,join(X1,join(X_650,X_651))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_650,X_651)),join(X0,join(X1,join(X_650,X_651)))) )],[refute_0_2787,refute_0_2788]) ).
cnf(refute_0_2790,plain,
join(X0,join(X_651,join(X_650,X1))) = join(X0,join(X1,join(X_650,X_651))),
inference(resolve,[$cnf( $equal(join(X0,join(X_651,join(X_650,X1))),join(join(X0,X1),join(X_650,X_651))) )],[refute_0_2786,refute_0_2789]) ).
cnf(refute_0_2791,plain,
( join(X0,join(X_651,join(X_650,X1))) != join(X0,join(X1,join(X_650,X_651)))
| join(X0,join(X1,join(X_650,X_651))) = join(X0,join(X_651,join(X_650,X1))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,join(X_651,join(X_650,X1))))),bind(Y,$fot(join(X0,join(X1,join(X_650,X_651)))))]]) ).
cnf(refute_0_2792,plain,
join(X0,join(X1,join(X_650,X_651))) = join(X0,join(X_651,join(X_650,X1))),
inference(resolve,[$cnf( $equal(join(X0,join(X_651,join(X_650,X1))),join(X0,join(X1,join(X_650,X_651)))) )],[refute_0_2790,refute_0_2791]) ).
cnf(refute_0_2793,plain,
join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179)))) = join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179))))),
inference(subst,[],[refute_0_2792:[bind(X0,$fot(X_80)),bind(X1,$fot(join(X_710,join(X_709,X_179)))),bind(X_650,$fot(X_710)),bind(X_651,$fot(join(X_709,X_179)))]]) ).
cnf(refute_0_2794,plain,
( join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179))))) != join(X_80,join(X_710,join(X_709,X_179)))
| join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179)))) != join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179)))))
| join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179)))) = join(X_80,join(X_710,join(X_709,X_179))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179)))))),bind(Y,$fot(join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179))))))),bind(Z,$fot(join(X_80,join(X_710,join(X_709,X_179)))))]]) ).
cnf(refute_0_2795,plain,
( join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179))))) != join(X_80,join(X_710,join(X_709,X_179)))
| join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179)))) = join(X_80,join(X_710,join(X_709,X_179))) ),
inference(resolve,[$cnf( $equal(join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179)))),join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179)))))) )],[refute_0_2793,refute_0_2794]) ).
cnf(refute_0_2796,plain,
join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179)))) = join(X_80,join(X_710,join(X_709,X_179))),
inference(resolve,[$cnf( $equal(join(X_80,join(join(X_709,X_179),join(X_710,join(X_710,join(X_709,X_179))))),join(X_80,join(X_710,join(X_709,X_179)))) )],[refute_0_2712,refute_0_2795]) ).
cnf(refute_0_2797,plain,
join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179))))) = join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179))))),
introduced(tautology,[refl,[$fot(join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179))))))]]) ).
cnf(refute_0_2798,plain,
( join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179))))) != join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179)))))
| join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179)))) != join(X_80,join(X_710,join(X_709,X_179)))
| join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179))))) = join(X_179,join(X_80,join(X_710,join(X_709,X_179)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179))))),join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179)))))) ),[1,1],$fot(join(X_80,join(X_710,join(X_709,X_179))))]]) ).
cnf(refute_0_2799,plain,
( join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179)))) != join(X_80,join(X_710,join(X_709,X_179)))
| join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179))))) = join(X_179,join(X_80,join(X_710,join(X_709,X_179)))) ),
inference(resolve,[$cnf( $equal(join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179))))),join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179)))))) )],[refute_0_2797,refute_0_2798]) ).
cnf(refute_0_2800,plain,
join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179))))) = join(X_179,join(X_80,join(X_710,join(X_709,X_179)))),
inference(resolve,[$cnf( $equal(join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179)))),join(X_80,join(X_710,join(X_709,X_179)))) )],[refute_0_2796,refute_0_2799]) ).
cnf(refute_0_2801,plain,
join(join(X_650,X_651),join(X_80,X_81)) = join(X_80,join(X_81,join(X_650,X_651))),
inference(subst,[],[refute_0_922:[bind(X0,$fot(join(X_650,X_651)))]]) ).
cnf(refute_0_2802,plain,
join(X_81,join(X_650,X_651)) = join(X_651,join(X_650,X_81)),
inference(subst,[],[refute_0_2782:[bind(X0,$fot(X_81)),bind(X_610,$fot(X_650)),bind(X_611,$fot(X_651))]]) ).
cnf(refute_0_2803,plain,
( join(X_81,join(X_650,X_651)) != join(X_651,join(X_650,X_81))
| join(join(X_650,X_651),join(X_80,X_81)) != join(X_80,join(X_81,join(X_650,X_651)))
| join(join(X_650,X_651),join(X_80,X_81)) = join(X_80,join(X_651,join(X_650,X_81))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_650,X_651),join(X_80,X_81)),join(X_80,join(X_81,join(X_650,X_651)))) ),[1,1],$fot(join(X_651,join(X_650,X_81)))]]) ).
cnf(refute_0_2804,plain,
( join(join(X_650,X_651),join(X_80,X_81)) != join(X_80,join(X_81,join(X_650,X_651)))
| join(join(X_650,X_651),join(X_80,X_81)) = join(X_80,join(X_651,join(X_650,X_81))) ),
inference(resolve,[$cnf( $equal(join(X_81,join(X_650,X_651)),join(X_651,join(X_650,X_81))) )],[refute_0_2802,refute_0_2803]) ).
cnf(refute_0_2805,plain,
join(join(X_650,X_651),join(X_80,X_81)) = join(X_80,join(X_651,join(X_650,X_81))),
inference(resolve,[$cnf( $equal(join(join(X_650,X_651),join(X_80,X_81)),join(X_80,join(X_81,join(X_650,X_651)))) )],[refute_0_2801,refute_0_2804]) ).
cnf(refute_0_2806,plain,
join(join(X_650,X_651),join(X_80,X_81)) = join(X_650,join(X_651,join(X_80,X_81))),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_650)),bind(X1,$fot(X_651)),bind(X2,$fot(join(X_80,X_81)))]]) ).
cnf(refute_0_2807,plain,
( join(join(X_650,X_651),join(X_80,X_81)) != join(X_650,join(X_651,join(X_80,X_81)))
| join(join(X_650,X_651),join(X_80,X_81)) != join(X_80,join(X_651,join(X_650,X_81)))
| join(X_650,join(X_651,join(X_80,X_81))) = join(X_80,join(X_651,join(X_650,X_81))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_650,X_651),join(X_80,X_81)),join(X_80,join(X_651,join(X_650,X_81)))) ),[0],$fot(join(X_650,join(X_651,join(X_80,X_81))))]]) ).
cnf(refute_0_2808,plain,
( join(join(X_650,X_651),join(X_80,X_81)) != join(X_80,join(X_651,join(X_650,X_81)))
| join(X_650,join(X_651,join(X_80,X_81))) = join(X_80,join(X_651,join(X_650,X_81))) ),
inference(resolve,[$cnf( $equal(join(join(X_650,X_651),join(X_80,X_81)),join(X_650,join(X_651,join(X_80,X_81)))) )],[refute_0_2806,refute_0_2807]) ).
cnf(refute_0_2809,plain,
join(X_650,join(X_651,join(X_80,X_81))) = join(X_80,join(X_651,join(X_650,X_81))),
inference(resolve,[$cnf( $equal(join(join(X_650,X_651),join(X_80,X_81)),join(X_80,join(X_651,join(X_650,X_81)))) )],[refute_0_2805,refute_0_2808]) ).
cnf(refute_0_2810,plain,
( join(X_650,join(X_651,join(X_80,X_81))) != join(X_80,join(X_651,join(X_650,X_81)))
| join(X_80,join(X_651,join(X_650,X_81))) = join(X_650,join(X_651,join(X_80,X_81))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_650,join(X_651,join(X_80,X_81))))),bind(Y,$fot(join(X_80,join(X_651,join(X_650,X_81)))))]]) ).
cnf(refute_0_2811,plain,
join(X_80,join(X_651,join(X_650,X_81))) = join(X_650,join(X_651,join(X_80,X_81))),
inference(resolve,[$cnf( $equal(join(X_650,join(X_651,join(X_80,X_81))),join(X_80,join(X_651,join(X_650,X_81)))) )],[refute_0_2809,refute_0_2810]) ).
cnf(refute_0_2812,plain,
join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))) = join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179))))),
inference(subst,[],[refute_0_2811:[bind(X_650,$fot(X_179)),bind(X_651,$fot(X_80)),bind(X_80,$fot(join(X_710,join(X_709,X_179)))),bind(X_81,$fot(join(X_710,join(X_709,X_179))))]]) ).
cnf(refute_0_2813,plain,
( join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179))))) != join(X_179,join(X_80,join(X_710,join(X_709,X_179))))
| join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))) != join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179)))))
| join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))) = join(X_179,join(X_80,join(X_710,join(X_709,X_179)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))))),bind(Y,$fot(join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179))))))),bind(Z,$fot(join(X_179,join(X_80,join(X_710,join(X_709,X_179))))))]]) ).
cnf(refute_0_2814,plain,
( join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179))))) != join(X_179,join(X_80,join(X_710,join(X_709,X_179))))
| join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))) = join(X_179,join(X_80,join(X_710,join(X_709,X_179)))) ),
inference(resolve,[$cnf( $equal(join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))),join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179)))))) )],[refute_0_2812,refute_0_2813]) ).
cnf(refute_0_2815,plain,
join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))) = join(X_179,join(X_80,join(X_710,join(X_709,X_179)))),
inference(resolve,[$cnf( $equal(join(X_179,join(X_80,join(join(X_710,join(X_709,X_179)),join(X_710,join(X_709,X_179))))),join(X_179,join(X_80,join(X_710,join(X_709,X_179))))) )],[refute_0_2800,refute_0_2814]) ).
cnf(refute_0_2816,plain,
( join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))) != join(X_179,join(X_80,join(X_710,join(X_709,X_179))))
| join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))) != join(X_80,join(X_710,join(X_709,X_179)))
| join(X_179,join(X_80,join(X_710,join(X_709,X_179)))) = join(X_80,join(X_710,join(X_709,X_179))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))),join(X_80,join(X_710,join(X_709,X_179)))) ),[0],$fot(join(X_179,join(X_80,join(X_710,join(X_709,X_179)))))]]) ).
cnf(refute_0_2817,plain,
( join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))) != join(X_80,join(X_710,join(X_709,X_179)))
| join(X_179,join(X_80,join(X_710,join(X_709,X_179)))) = join(X_80,join(X_710,join(X_709,X_179))) ),
inference(resolve,[$cnf( $equal(join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))),join(X_179,join(X_80,join(X_710,join(X_709,X_179))))) )],[refute_0_2815,refute_0_2816]) ).
cnf(refute_0_2818,plain,
join(X_179,join(X_80,join(X_710,join(X_709,X_179)))) = join(X_80,join(X_710,join(X_709,X_179))),
inference(resolve,[$cnf( $equal(join(join(X_710,join(X_709,X_179)),join(X_80,join(X_179,join(X_710,join(X_709,X_179))))),join(X_80,join(X_710,join(X_709,X_179)))) )],[refute_0_2703,refute_0_2817]) ).
cnf(refute_0_2819,plain,
join(X_80,join(X_179,join(X_712,join(X_713,X_80)))) = join(X_179,join(X_712,join(X_713,X_80))),
inference(subst,[],[refute_0_2818:[bind(X_179,$fot(X_80)),bind(X_709,$fot(X_713)),bind(X_710,$fot(X_712)),bind(X_80,$fot(X_179))]]) ).
cnf(refute_0_2820,plain,
( join(X_179,join(X_713,join(X_80,X_712))) != join(X_80,join(X_179,join(X_712,join(X_713,X_80))))
| join(X_80,join(X_179,join(X_712,join(X_713,X_80)))) != join(X_179,join(X_712,join(X_713,X_80)))
| join(X_179,join(X_713,join(X_80,X_712))) = join(X_179,join(X_712,join(X_713,X_80))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_179,join(X_713,join(X_80,X_712))),join(X_179,join(X_712,join(X_713,X_80)))) ),[0],$fot(join(X_80,join(X_179,join(X_712,join(X_713,X_80)))))]]) ).
cnf(refute_0_2821,plain,
( join(X_179,join(X_713,join(X_80,X_712))) != join(X_80,join(X_179,join(X_712,join(X_713,X_80))))
| join(X_179,join(X_713,join(X_80,X_712))) = join(X_179,join(X_712,join(X_713,X_80))) ),
inference(resolve,[$cnf( $equal(join(X_80,join(X_179,join(X_712,join(X_713,X_80)))),join(X_179,join(X_712,join(X_713,X_80)))) )],[refute_0_2819,refute_0_2820]) ).
cnf(refute_0_2822,plain,
( join(join(X_713,join(X_80,X_712)),join(X_179,X_80)) != join(X_80,join(X_179,join(X_712,join(X_713,X_80))))
| join(X_179,join(X_713,join(X_80,X_712))) = join(X_179,join(X_712,join(X_713,X_80))) ),
inference(resolve,[$cnf( $equal(join(X_179,join(X_713,join(X_80,X_712))),join(X_80,join(X_179,join(X_712,join(X_713,X_80))))) )],[refute_0_2698,refute_0_2821]) ).
cnf(refute_0_2823,plain,
join(X_179,join(X_713,join(X_80,X_712))) = join(X_179,join(X_712,join(X_713,X_80))),
inference(resolve,[$cnf( $equal(join(join(X_713,join(X_80,X_712)),join(X_179,X_80)),join(X_80,join(X_179,join(X_712,join(X_713,X_80))))) )],[refute_0_2691,refute_0_2822]) ).
cnf(refute_0_2824,plain,
( join(X_179,join(X_713,join(X_80,X_712))) != join(X_179,join(X_712,join(X_713,X_80)))
| join(X_179,join(X_712,join(X_713,X_80))) = join(X_179,join(X_713,join(X_80,X_712))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_179,join(X_713,join(X_80,X_712))))),bind(Y,$fot(join(X_179,join(X_712,join(X_713,X_80)))))]]) ).
cnf(refute_0_2825,plain,
join(X_179,join(X_712,join(X_713,X_80))) = join(X_179,join(X_713,join(X_80,X_712))),
inference(resolve,[$cnf( $equal(join(X_179,join(X_713,join(X_80,X_712))),join(X_179,join(X_712,join(X_713,X_80)))) )],[refute_0_2823,refute_0_2824]) ).
cnf(refute_0_2826,plain,
join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0))) = join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0))))),
inference(subst,[],[refute_0_2825:[bind(X_179,$fot(X_712)),bind(X_712,$fot(join(X_179,join(X_713,X0)))),bind(X_80,$fot(X0))]]) ).
cnf(refute_0_2827,plain,
( join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0))))) != join(X_712,join(X_179,join(X_713,X0)))
| join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0))) != join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0)))))
| join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0))) = join(X_712,join(X_179,join(X_713,X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0))))),bind(Y,$fot(join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0))))))),bind(Z,$fot(join(X_712,join(X_179,join(X_713,X0)))))]]) ).
cnf(refute_0_2828,plain,
( join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0))))) != join(X_712,join(X_179,join(X_713,X0)))
| join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0))) = join(X_712,join(X_179,join(X_713,X0))) ),
inference(resolve,[$cnf( $equal(join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0))),join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0)))))) )],[refute_0_2826,refute_0_2827]) ).
cnf(refute_0_2829,plain,
join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0))) = join(X_712,join(X_179,join(X_713,X0))),
inference(resolve,[$cnf( $equal(join(X_712,join(X_713,join(X0,join(X_179,join(X_713,X0))))),join(X_712,join(X_179,join(X_713,X0)))) )],[refute_0_2684,refute_0_2828]) ).
cnf(refute_0_2830,plain,
join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))) = join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))),
introduced(tautology,[refl,[$fot(join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))))]]) ).
cnf(refute_0_2831,plain,
( join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))) != join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0))))
| join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0))) != join(X_712,join(X_179,join(X_713,X0)))
| join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))) = join(X_179,join(X_712,join(X_179,join(X_713,X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))),join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0))))) ),[1,1],$fot(join(X_712,join(X_179,join(X_713,X0))))]]) ).
cnf(refute_0_2832,plain,
( join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0))) != join(X_712,join(X_179,join(X_713,X0)))
| join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))) = join(X_179,join(X_712,join(X_179,join(X_713,X0)))) ),
inference(resolve,[$cnf( $equal(join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))),join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0))))) )],[refute_0_2830,refute_0_2831]) ).
cnf(refute_0_2833,plain,
join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))) = join(X_179,join(X_712,join(X_179,join(X_713,X0)))),
inference(resolve,[$cnf( $equal(join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0))),join(X_712,join(X_179,join(X_713,X0)))) )],[refute_0_2829,refute_0_2832]) ).
cnf(refute_0_2834,plain,
( join(X_179,join(X_712,join(X_179,join(X_713,X0)))) != join(X_713,join(X0,join(X_712,X_179)))
| join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))) != join(X_179,join(X_712,join(X_179,join(X_713,X0))))
| join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))) = join(X_713,join(X0,join(X_712,X_179))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))))),bind(Y,$fot(join(X_179,join(X_712,join(X_179,join(X_713,X0)))))),bind(Z,$fot(join(X_713,join(X0,join(X_712,X_179)))))]]) ).
cnf(refute_0_2835,plain,
( join(X_179,join(X_712,join(X_179,join(X_713,X0)))) != join(X_713,join(X0,join(X_712,X_179)))
| join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))) = join(X_713,join(X0,join(X_712,X_179))) ),
inference(resolve,[$cnf( $equal(join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))),join(X_179,join(X_712,join(X_179,join(X_713,X0))))) )],[refute_0_2833,refute_0_2834]) ).
cnf(refute_0_2836,plain,
join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))) = join(X_713,join(X0,join(X_712,X_179))),
inference(resolve,[$cnf( $equal(join(X_179,join(X_712,join(X_179,join(X_713,X0)))),join(X_713,join(X0,join(X_712,X_179)))) )],[refute_0_2595,refute_0_2835]) ).
cnf(refute_0_2837,plain,
join(X0,join(X1,join(X_713,join(X1,X_712)))) = join(join(X0,X1),join(X_713,join(X1,X_712))),
inference(subst,[],[refute_0_260:[bind(X2,$fot(join(X_713,join(X1,X_712))))]]) ).
cnf(refute_0_2838,plain,
join(X_712,join(X_713,X1)) = join(X1,join(X_713,join(X1,X_712))),
inference(subst,[],[refute_0_2371:[bind(X0,$fot(X_712)),bind(X_179,$fot(X_713)),bind(X_80,$fot(X1))]]) ).
cnf(refute_0_2839,plain,
( join(X_712,join(X_713,X1)) != join(X1,join(X_713,join(X1,X_712)))
| join(X1,join(X_713,join(X1,X_712))) = join(X_712,join(X_713,X1)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_712,join(X_713,X1)))),bind(Y,$fot(join(X1,join(X_713,join(X1,X_712)))))]]) ).
cnf(refute_0_2840,plain,
join(X1,join(X_713,join(X1,X_712))) = join(X_712,join(X_713,X1)),
inference(resolve,[$cnf( $equal(join(X_712,join(X_713,X1)),join(X1,join(X_713,join(X1,X_712)))) )],[refute_0_2838,refute_0_2839]) ).
cnf(refute_0_2841,plain,
( join(X0,join(X1,join(X_713,join(X1,X_712)))) != join(join(X0,X1),join(X_713,join(X1,X_712)))
| join(X1,join(X_713,join(X1,X_712))) != join(X_712,join(X_713,X1))
| join(X0,join(X_712,join(X_713,X1))) = join(join(X0,X1),join(X_713,join(X1,X_712))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(X_713,join(X1,X_712)))),join(join(X0,X1),join(X_713,join(X1,X_712)))) ),[0,1],$fot(join(X_712,join(X_713,X1)))]]) ).
cnf(refute_0_2842,plain,
( join(X0,join(X1,join(X_713,join(X1,X_712)))) != join(join(X0,X1),join(X_713,join(X1,X_712)))
| join(X0,join(X_712,join(X_713,X1))) = join(join(X0,X1),join(X_713,join(X1,X_712))) ),
inference(resolve,[$cnf( $equal(join(X1,join(X_713,join(X1,X_712))),join(X_712,join(X_713,X1))) )],[refute_0_2840,refute_0_2841]) ).
cnf(refute_0_2843,plain,
join(X0,join(X_712,join(X_713,X1))) = join(join(X0,X1),join(X_713,join(X1,X_712))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_713,join(X1,X_712)))),join(join(X0,X1),join(X_713,join(X1,X_712)))) )],[refute_0_2837,refute_0_2842]) ).
cnf(refute_0_2844,plain,
join(join(X_713,X_712),join(X0,X1)) = join(X_713,join(X_712,join(X0,X1))),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_713)),bind(X1,$fot(X_712)),bind(X2,$fot(join(X0,X1)))]]) ).
cnf(refute_0_2845,plain,
join(X1,join(X0,join(X1,join(X_713,X_712)))) = join(join(X_713,X_712),join(X0,X1)),
inference(subst,[],[refute_0_2380:[bind(X0,$fot(join(X_713,X_712))),bind(X_179,$fot(X0)),bind(X_80,$fot(X1))]]) ).
cnf(refute_0_2846,plain,
( join(X1,join(X0,join(X1,join(X_713,X_712)))) != join(join(X_713,X_712),join(X0,X1))
| join(join(X_713,X_712),join(X0,X1)) != join(X_713,join(X_712,join(X0,X1)))
| join(X1,join(X0,join(X1,join(X_713,X_712)))) = join(X_713,join(X_712,join(X0,X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X1,join(X0,join(X1,join(X_713,X_712)))))),bind(Y,$fot(join(join(X_713,X_712),join(X0,X1)))),bind(Z,$fot(join(X_713,join(X_712,join(X0,X1)))))]]) ).
cnf(refute_0_2847,plain,
( join(join(X_713,X_712),join(X0,X1)) != join(X_713,join(X_712,join(X0,X1)))
| join(X1,join(X0,join(X1,join(X_713,X_712)))) = join(X_713,join(X_712,join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(X1,join(X0,join(X1,join(X_713,X_712)))),join(join(X_713,X_712),join(X0,X1))) )],[refute_0_2845,refute_0_2846]) ).
cnf(refute_0_2848,plain,
join(X1,join(X0,join(X1,join(X_713,X_712)))) = join(X_713,join(X_712,join(X0,X1))),
inference(resolve,[$cnf( $equal(join(join(X_713,X_712),join(X0,X1)),join(X_713,join(X_712,join(X0,X1)))) )],[refute_0_2844,refute_0_2847]) ).
cnf(refute_0_2849,plain,
join(join(X0,X1),join(X_713,X_712)) = join(X0,join(X1,join(X_713,X_712))),
inference(subst,[],[refute_0_262:[bind(X2,$fot(join(X_713,X_712)))]]) ).
cnf(refute_0_2850,plain,
join(X1,join(join(X0,X1),join(X_713,X_712))) = join(X1,join(join(X0,X1),join(X_713,X_712))),
introduced(tautology,[refl,[$fot(join(X1,join(join(X0,X1),join(X_713,X_712))))]]) ).
cnf(refute_0_2851,plain,
( join(X1,join(join(X0,X1),join(X_713,X_712))) != join(X1,join(join(X0,X1),join(X_713,X_712)))
| join(join(X0,X1),join(X_713,X_712)) != join(X0,join(X1,join(X_713,X_712)))
| join(X1,join(join(X0,X1),join(X_713,X_712))) = join(X1,join(X0,join(X1,join(X_713,X_712)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(join(X0,X1),join(X_713,X_712))),join(X1,join(join(X0,X1),join(X_713,X_712)))) ),[1,1],$fot(join(X0,join(X1,join(X_713,X_712))))]]) ).
cnf(refute_0_2852,plain,
( join(join(X0,X1),join(X_713,X_712)) != join(X0,join(X1,join(X_713,X_712)))
| join(X1,join(join(X0,X1),join(X_713,X_712))) = join(X1,join(X0,join(X1,join(X_713,X_712)))) ),
inference(resolve,[$cnf( $equal(join(X1,join(join(X0,X1),join(X_713,X_712))),join(X1,join(join(X0,X1),join(X_713,X_712)))) )],[refute_0_2850,refute_0_2851]) ).
cnf(refute_0_2853,plain,
join(X1,join(join(X0,X1),join(X_713,X_712))) = join(X1,join(X0,join(X1,join(X_713,X_712)))),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_713,X_712)),join(X0,join(X1,join(X_713,X_712)))) )],[refute_0_2849,refute_0_2852]) ).
cnf(refute_0_2854,plain,
( join(X1,join(X0,join(X1,join(X_713,X_712)))) != join(X_713,join(X_712,join(X0,X1)))
| join(X1,join(join(X0,X1),join(X_713,X_712))) != join(X1,join(X0,join(X1,join(X_713,X_712))))
| join(X1,join(join(X0,X1),join(X_713,X_712))) = join(X_713,join(X_712,join(X0,X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X1,join(join(X0,X1),join(X_713,X_712))))),bind(Y,$fot(join(X1,join(X0,join(X1,join(X_713,X_712)))))),bind(Z,$fot(join(X_713,join(X_712,join(X0,X1)))))]]) ).
cnf(refute_0_2855,plain,
( join(X1,join(X0,join(X1,join(X_713,X_712)))) != join(X_713,join(X_712,join(X0,X1)))
| join(X1,join(join(X0,X1),join(X_713,X_712))) = join(X_713,join(X_712,join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(X1,join(join(X0,X1),join(X_713,X_712))),join(X1,join(X0,join(X1,join(X_713,X_712))))) )],[refute_0_2853,refute_0_2854]) ).
cnf(refute_0_2856,plain,
join(X1,join(join(X0,X1),join(X_713,X_712))) = join(X_713,join(X_712,join(X0,X1))),
inference(resolve,[$cnf( $equal(join(X1,join(X0,join(X1,join(X_713,X_712)))),join(X_713,join(X_712,join(X0,X1)))) )],[refute_0_2848,refute_0_2855]) ).
cnf(refute_0_2857,plain,
join(X0,join(X1,join(X_710,join(X_709,X1)))) = join(join(X0,X1),join(X_710,join(X_709,X1))),
inference(subst,[],[refute_0_260:[bind(X2,$fot(join(X_710,join(X_709,X1))))]]) ).
cnf(refute_0_2858,plain,
join(X1,join(X_710,join(X_709,X1))) = join(X_710,join(X_709,X1)),
inference(subst,[],[refute_0_1113:[bind(X_179,$fot(X_709)),bind(X_80,$fot(X_710)),bind(X_81,$fot(X1))]]) ).
cnf(refute_0_2859,plain,
( join(X0,join(X1,join(X_710,join(X_709,X1)))) != join(join(X0,X1),join(X_710,join(X_709,X1)))
| join(X1,join(X_710,join(X_709,X1))) != join(X_710,join(X_709,X1))
| join(X0,join(X_710,join(X_709,X1))) = join(join(X0,X1),join(X_710,join(X_709,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(X_710,join(X_709,X1)))),join(join(X0,X1),join(X_710,join(X_709,X1)))) ),[0,1],$fot(join(X_710,join(X_709,X1)))]]) ).
cnf(refute_0_2860,plain,
( join(X0,join(X1,join(X_710,join(X_709,X1)))) != join(join(X0,X1),join(X_710,join(X_709,X1)))
| join(X0,join(X_710,join(X_709,X1))) = join(join(X0,X1),join(X_710,join(X_709,X1))) ),
inference(resolve,[$cnf( $equal(join(X1,join(X_710,join(X_709,X1))),join(X_710,join(X_709,X1))) )],[refute_0_2858,refute_0_2859]) ).
cnf(refute_0_2861,plain,
join(X0,join(X_710,join(X_709,X1))) = join(join(X0,X1),join(X_710,join(X_709,X1))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_710,join(X_709,X1)))),join(join(X0,X1),join(X_710,join(X_709,X1)))) )],[refute_0_2857,refute_0_2860]) ).
cnf(refute_0_2862,plain,
join(join(X_710,X_709),join(X0,X1)) = join(X_710,join(X_709,join(X0,X1))),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_710)),bind(X1,$fot(X_709)),bind(X2,$fot(join(X0,X1)))]]) ).
cnf(refute_0_2863,plain,
join(X1,join(X0,join(X1,join(X_710,X_709)))) = join(join(X_710,X_709),join(X0,X1)),
inference(subst,[],[refute_0_2380:[bind(X0,$fot(join(X_710,X_709))),bind(X_179,$fot(X0)),bind(X_80,$fot(X1))]]) ).
cnf(refute_0_2864,plain,
( join(X1,join(X0,join(X1,join(X_710,X_709)))) != join(join(X_710,X_709),join(X0,X1))
| join(join(X_710,X_709),join(X0,X1)) != join(X_710,join(X_709,join(X0,X1)))
| join(X1,join(X0,join(X1,join(X_710,X_709)))) = join(X_710,join(X_709,join(X0,X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X1,join(X0,join(X1,join(X_710,X_709)))))),bind(Y,$fot(join(join(X_710,X_709),join(X0,X1)))),bind(Z,$fot(join(X_710,join(X_709,join(X0,X1)))))]]) ).
cnf(refute_0_2865,plain,
( join(join(X_710,X_709),join(X0,X1)) != join(X_710,join(X_709,join(X0,X1)))
| join(X1,join(X0,join(X1,join(X_710,X_709)))) = join(X_710,join(X_709,join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(X1,join(X0,join(X1,join(X_710,X_709)))),join(join(X_710,X_709),join(X0,X1))) )],[refute_0_2863,refute_0_2864]) ).
cnf(refute_0_2866,plain,
join(X1,join(X0,join(X1,join(X_710,X_709)))) = join(X_710,join(X_709,join(X0,X1))),
inference(resolve,[$cnf( $equal(join(join(X_710,X_709),join(X0,X1)),join(X_710,join(X_709,join(X0,X1)))) )],[refute_0_2862,refute_0_2865]) ).
cnf(refute_0_2867,plain,
join(join(X0,X1),join(X_710,X_709)) = join(X0,join(X1,join(X_710,X_709))),
inference(subst,[],[refute_0_262:[bind(X2,$fot(join(X_710,X_709)))]]) ).
cnf(refute_0_2868,plain,
join(X1,join(join(X0,X1),join(X_710,X_709))) = join(X1,join(join(X0,X1),join(X_710,X_709))),
introduced(tautology,[refl,[$fot(join(X1,join(join(X0,X1),join(X_710,X_709))))]]) ).
cnf(refute_0_2869,plain,
( join(X1,join(join(X0,X1),join(X_710,X_709))) != join(X1,join(join(X0,X1),join(X_710,X_709)))
| join(join(X0,X1),join(X_710,X_709)) != join(X0,join(X1,join(X_710,X_709)))
| join(X1,join(join(X0,X1),join(X_710,X_709))) = join(X1,join(X0,join(X1,join(X_710,X_709)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(join(X0,X1),join(X_710,X_709))),join(X1,join(join(X0,X1),join(X_710,X_709)))) ),[1,1],$fot(join(X0,join(X1,join(X_710,X_709))))]]) ).
cnf(refute_0_2870,plain,
( join(join(X0,X1),join(X_710,X_709)) != join(X0,join(X1,join(X_710,X_709)))
| join(X1,join(join(X0,X1),join(X_710,X_709))) = join(X1,join(X0,join(X1,join(X_710,X_709)))) ),
inference(resolve,[$cnf( $equal(join(X1,join(join(X0,X1),join(X_710,X_709))),join(X1,join(join(X0,X1),join(X_710,X_709)))) )],[refute_0_2868,refute_0_2869]) ).
cnf(refute_0_2871,plain,
join(X1,join(join(X0,X1),join(X_710,X_709))) = join(X1,join(X0,join(X1,join(X_710,X_709)))),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_710,X_709)),join(X0,join(X1,join(X_710,X_709)))) )],[refute_0_2867,refute_0_2870]) ).
cnf(refute_0_2872,plain,
( join(X1,join(X0,join(X1,join(X_710,X_709)))) != join(X_710,join(X_709,join(X0,X1)))
| join(X1,join(join(X0,X1),join(X_710,X_709))) != join(X1,join(X0,join(X1,join(X_710,X_709))))
| join(X1,join(join(X0,X1),join(X_710,X_709))) = join(X_710,join(X_709,join(X0,X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X1,join(join(X0,X1),join(X_710,X_709))))),bind(Y,$fot(join(X1,join(X0,join(X1,join(X_710,X_709)))))),bind(Z,$fot(join(X_710,join(X_709,join(X0,X1)))))]]) ).
cnf(refute_0_2873,plain,
( join(X1,join(X0,join(X1,join(X_710,X_709)))) != join(X_710,join(X_709,join(X0,X1)))
| join(X1,join(join(X0,X1),join(X_710,X_709))) = join(X_710,join(X_709,join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(X1,join(join(X0,X1),join(X_710,X_709))),join(X1,join(X0,join(X1,join(X_710,X_709))))) )],[refute_0_2871,refute_0_2872]) ).
cnf(refute_0_2874,plain,
join(X1,join(join(X0,X1),join(X_710,X_709))) = join(X_710,join(X_709,join(X0,X1))),
inference(resolve,[$cnf( $equal(join(X1,join(X0,join(X1,join(X_710,X_709)))),join(X_710,join(X_709,join(X0,X1)))) )],[refute_0_2866,refute_0_2873]) ).
cnf(refute_0_2875,plain,
join(join(X_710,join(X_709,X_610)),join(X_610,X_611)) = join(X_611,join(X_610,join(X_710,join(X_709,X_610)))),
inference(subst,[],[refute_0_2782:[bind(X0,$fot(join(X_710,join(X_709,X_610))))]]) ).
cnf(refute_0_2876,plain,
join(X_610,join(X_710,join(X_709,X_610))) = join(X_710,join(X_709,X_610)),
inference(subst,[],[refute_0_1113:[bind(X_179,$fot(X_709)),bind(X_80,$fot(X_710)),bind(X_81,$fot(X_610))]]) ).
cnf(refute_0_2877,plain,
( join(X_610,join(X_710,join(X_709,X_610))) != join(X_710,join(X_709,X_610))
| join(join(X_710,join(X_709,X_610)),join(X_610,X_611)) != join(X_611,join(X_610,join(X_710,join(X_709,X_610))))
| join(join(X_710,join(X_709,X_610)),join(X_610,X_611)) = join(X_611,join(X_710,join(X_709,X_610))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_710,join(X_709,X_610)),join(X_610,X_611)),join(X_611,join(X_610,join(X_710,join(X_709,X_610))))) ),[1,1],$fot(join(X_710,join(X_709,X_610)))]]) ).
cnf(refute_0_2878,plain,
( join(join(X_710,join(X_709,X_610)),join(X_610,X_611)) != join(X_611,join(X_610,join(X_710,join(X_709,X_610))))
| join(join(X_710,join(X_709,X_610)),join(X_610,X_611)) = join(X_611,join(X_710,join(X_709,X_610))) ),
inference(resolve,[$cnf( $equal(join(X_610,join(X_710,join(X_709,X_610))),join(X_710,join(X_709,X_610))) )],[refute_0_2876,refute_0_2877]) ).
cnf(refute_0_2879,plain,
join(join(X_710,join(X_709,X_610)),join(X_610,X_611)) = join(X_611,join(X_710,join(X_709,X_610))),
inference(resolve,[$cnf( $equal(join(join(X_710,join(X_709,X_610)),join(X_610,X_611)),join(X_611,join(X_610,join(X_710,join(X_709,X_610))))) )],[refute_0_2875,refute_0_2878]) ).
cnf(refute_0_2880,plain,
join(X_610,join(X_710,join(X_709,join(X_610,X_611)))) = join(X_710,join(X_709,join(X_610,X_611))),
inference(subst,[],[refute_0_2676:[bind(X_364,$fot(X_710)),bind(X_365,$fot(X_709)),bind(X_47,$fot(X_610)),bind(X_82,$fot(X_611))]]) ).
cnf(refute_0_2881,plain,
join(join(X_709,X_610),X_611) = join(X_709,join(X_610,X_611)),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_709)),bind(X1,$fot(X_610)),bind(X2,$fot(X_611))]]) ).
cnf(refute_0_2882,plain,
join(X_710,join(join(X_709,X_610),X_611)) = join(X_710,join(join(X_709,X_610),X_611)),
introduced(tautology,[refl,[$fot(join(X_710,join(join(X_709,X_610),X_611)))]]) ).
cnf(refute_0_2883,plain,
( join(X_710,join(join(X_709,X_610),X_611)) != join(X_710,join(join(X_709,X_610),X_611))
| join(join(X_709,X_610),X_611) != join(X_709,join(X_610,X_611))
| join(X_710,join(join(X_709,X_610),X_611)) = join(X_710,join(X_709,join(X_610,X_611))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_710,join(join(X_709,X_610),X_611)),join(X_710,join(join(X_709,X_610),X_611))) ),[1,1],$fot(join(X_709,join(X_610,X_611)))]]) ).
cnf(refute_0_2884,plain,
( join(join(X_709,X_610),X_611) != join(X_709,join(X_610,X_611))
| join(X_710,join(join(X_709,X_610),X_611)) = join(X_710,join(X_709,join(X_610,X_611))) ),
inference(resolve,[$cnf( $equal(join(X_710,join(join(X_709,X_610),X_611)),join(X_710,join(join(X_709,X_610),X_611))) )],[refute_0_2882,refute_0_2883]) ).
cnf(refute_0_2885,plain,
join(X_710,join(join(X_709,X_610),X_611)) = join(X_710,join(X_709,join(X_610,X_611))),
inference(resolve,[$cnf( $equal(join(join(X_709,X_610),X_611),join(X_709,join(X_610,X_611))) )],[refute_0_2881,refute_0_2884]) ).
cnf(refute_0_2886,plain,
join(join(X_710,join(X_709,X_610)),X_611) = join(X_710,join(join(X_709,X_610),X_611)),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X_710)),bind(X1,$fot(join(X_709,X_610))),bind(X2,$fot(X_611))]]) ).
cnf(refute_0_2887,plain,
( join(X_710,join(join(X_709,X_610),X_611)) != join(X_710,join(X_709,join(X_610,X_611)))
| join(join(X_710,join(X_709,X_610)),X_611) != join(X_710,join(join(X_709,X_610),X_611))
| join(join(X_710,join(X_709,X_610)),X_611) = join(X_710,join(X_709,join(X_610,X_611))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_710,join(X_709,X_610)),X_611))),bind(Y,$fot(join(X_710,join(join(X_709,X_610),X_611)))),bind(Z,$fot(join(X_710,join(X_709,join(X_610,X_611)))))]]) ).
cnf(refute_0_2888,plain,
( join(X_710,join(join(X_709,X_610),X_611)) != join(X_710,join(X_709,join(X_610,X_611)))
| join(join(X_710,join(X_709,X_610)),X_611) = join(X_710,join(X_709,join(X_610,X_611))) ),
inference(resolve,[$cnf( $equal(join(join(X_710,join(X_709,X_610)),X_611),join(X_710,join(join(X_709,X_610),X_611))) )],[refute_0_2886,refute_0_2887]) ).
cnf(refute_0_2889,plain,
join(join(X_710,join(X_709,X_610)),X_611) = join(X_710,join(X_709,join(X_610,X_611))),
inference(resolve,[$cnf( $equal(join(X_710,join(join(X_709,X_610),X_611)),join(X_710,join(X_709,join(X_610,X_611)))) )],[refute_0_2885,refute_0_2888]) ).
cnf(refute_0_2890,plain,
join(X_610,join(join(X_710,join(X_709,X_610)),X_611)) = join(X_610,join(join(X_710,join(X_709,X_610)),X_611)),
introduced(tautology,[refl,[$fot(join(X_610,join(join(X_710,join(X_709,X_610)),X_611)))]]) ).
cnf(refute_0_2891,plain,
( join(X_610,join(join(X_710,join(X_709,X_610)),X_611)) != join(X_610,join(join(X_710,join(X_709,X_610)),X_611))
| join(join(X_710,join(X_709,X_610)),X_611) != join(X_710,join(X_709,join(X_610,X_611)))
| join(X_610,join(join(X_710,join(X_709,X_610)),X_611)) = join(X_610,join(X_710,join(X_709,join(X_610,X_611)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_610,join(join(X_710,join(X_709,X_610)),X_611)),join(X_610,join(join(X_710,join(X_709,X_610)),X_611))) ),[1,1],$fot(join(X_710,join(X_709,join(X_610,X_611))))]]) ).
cnf(refute_0_2892,plain,
( join(join(X_710,join(X_709,X_610)),X_611) != join(X_710,join(X_709,join(X_610,X_611)))
| join(X_610,join(join(X_710,join(X_709,X_610)),X_611)) = join(X_610,join(X_710,join(X_709,join(X_610,X_611)))) ),
inference(resolve,[$cnf( $equal(join(X_610,join(join(X_710,join(X_709,X_610)),X_611)),join(X_610,join(join(X_710,join(X_709,X_610)),X_611))) )],[refute_0_2890,refute_0_2891]) ).
cnf(refute_0_2893,plain,
join(X_610,join(join(X_710,join(X_709,X_610)),X_611)) = join(X_610,join(X_710,join(X_709,join(X_610,X_611)))),
inference(resolve,[$cnf( $equal(join(join(X_710,join(X_709,X_610)),X_611),join(X_710,join(X_709,join(X_610,X_611)))) )],[refute_0_2889,refute_0_2892]) ).
cnf(refute_0_2894,plain,
( join(X_610,join(X_710,join(X_709,join(X_610,X_611)))) != join(X_710,join(X_709,join(X_610,X_611)))
| join(X_610,join(join(X_710,join(X_709,X_610)),X_611)) != join(X_610,join(X_710,join(X_709,join(X_610,X_611))))
| join(X_610,join(join(X_710,join(X_709,X_610)),X_611)) = join(X_710,join(X_709,join(X_610,X_611))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_610,join(join(X_710,join(X_709,X_610)),X_611)))),bind(Y,$fot(join(X_610,join(X_710,join(X_709,join(X_610,X_611)))))),bind(Z,$fot(join(X_710,join(X_709,join(X_610,X_611)))))]]) ).
cnf(refute_0_2895,plain,
( join(X_610,join(X_710,join(X_709,join(X_610,X_611)))) != join(X_710,join(X_709,join(X_610,X_611)))
| join(X_610,join(join(X_710,join(X_709,X_610)),X_611)) = join(X_710,join(X_709,join(X_610,X_611))) ),
inference(resolve,[$cnf( $equal(join(X_610,join(join(X_710,join(X_709,X_610)),X_611)),join(X_610,join(X_710,join(X_709,join(X_610,X_611))))) )],[refute_0_2893,refute_0_2894]) ).
cnf(refute_0_2896,plain,
join(X_610,join(join(X_710,join(X_709,X_610)),X_611)) = join(X_710,join(X_709,join(X_610,X_611))),
inference(resolve,[$cnf( $equal(join(X_610,join(X_710,join(X_709,join(X_610,X_611)))),join(X_710,join(X_709,join(X_610,X_611)))) )],[refute_0_2880,refute_0_2895]) ).
cnf(refute_0_2897,plain,
join(join(X_710,join(X_709,X_610)),join(X_610,X_611)) = join(X_610,join(join(X_710,join(X_709,X_610)),X_611)),
inference(subst,[],[refute_0_1123:[bind(X0,$fot(X_610)),bind(X1,$fot(X_611)),bind(X_179,$fot(join(X_710,join(X_709,X_610))))]]) ).
cnf(refute_0_2898,plain,
( join(X_610,join(join(X_710,join(X_709,X_610)),X_611)) != join(X_710,join(X_709,join(X_610,X_611)))
| join(join(X_710,join(X_709,X_610)),join(X_610,X_611)) != join(X_610,join(join(X_710,join(X_709,X_610)),X_611))
| join(join(X_710,join(X_709,X_610)),join(X_610,X_611)) = join(X_710,join(X_709,join(X_610,X_611))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_710,join(X_709,X_610)),join(X_610,X_611)))),bind(Y,$fot(join(X_610,join(join(X_710,join(X_709,X_610)),X_611)))),bind(Z,$fot(join(X_710,join(X_709,join(X_610,X_611)))))]]) ).
cnf(refute_0_2899,plain,
( join(X_610,join(join(X_710,join(X_709,X_610)),X_611)) != join(X_710,join(X_709,join(X_610,X_611)))
| join(join(X_710,join(X_709,X_610)),join(X_610,X_611)) = join(X_710,join(X_709,join(X_610,X_611))) ),
inference(resolve,[$cnf( $equal(join(join(X_710,join(X_709,X_610)),join(X_610,X_611)),join(X_610,join(join(X_710,join(X_709,X_610)),X_611))) )],[refute_0_2897,refute_0_2898]) ).
cnf(refute_0_2900,plain,
join(join(X_710,join(X_709,X_610)),join(X_610,X_611)) = join(X_710,join(X_709,join(X_610,X_611))),
inference(resolve,[$cnf( $equal(join(X_610,join(join(X_710,join(X_709,X_610)),X_611)),join(X_710,join(X_709,join(X_610,X_611)))) )],[refute_0_2896,refute_0_2899]) ).
cnf(refute_0_2901,plain,
( join(join(X_710,join(X_709,X_610)),join(X_610,X_611)) != join(X_611,join(X_710,join(X_709,X_610)))
| join(join(X_710,join(X_709,X_610)),join(X_610,X_611)) != join(X_710,join(X_709,join(X_610,X_611)))
| join(X_710,join(X_709,join(X_610,X_611))) = join(X_611,join(X_710,join(X_709,X_610))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_710,join(X_709,X_610)),join(X_610,X_611)),join(X_611,join(X_710,join(X_709,X_610)))) ),[0],$fot(join(X_710,join(X_709,join(X_610,X_611))))]]) ).
cnf(refute_0_2902,plain,
( join(join(X_710,join(X_709,X_610)),join(X_610,X_611)) != join(X_611,join(X_710,join(X_709,X_610)))
| join(X_710,join(X_709,join(X_610,X_611))) = join(X_611,join(X_710,join(X_709,X_610))) ),
inference(resolve,[$cnf( $equal(join(join(X_710,join(X_709,X_610)),join(X_610,X_611)),join(X_710,join(X_709,join(X_610,X_611)))) )],[refute_0_2900,refute_0_2901]) ).
cnf(refute_0_2903,plain,
join(X_710,join(X_709,join(X_610,X_611))) = join(X_611,join(X_710,join(X_709,X_610))),
inference(resolve,[$cnf( $equal(join(join(X_710,join(X_709,X_610)),join(X_610,X_611)),join(X_611,join(X_710,join(X_709,X_610)))) )],[refute_0_2879,refute_0_2902]) ).
cnf(refute_0_2904,plain,
join(join(X0,X1),join(X_710,join(X_709,X1))) = join(X1,join(join(X0,X1),join(X_710,X_709))),
inference(subst,[],[refute_0_2903:[bind(X_610,$fot(X_709)),bind(X_611,$fot(X1)),bind(X_709,$fot(X_710)),bind(X_710,$fot(join(X0,X1)))]]) ).
cnf(refute_0_2905,plain,
( join(X1,join(join(X0,X1),join(X_710,X_709))) != join(X_710,join(X_709,join(X0,X1)))
| join(join(X0,X1),join(X_710,join(X_709,X1))) != join(X1,join(join(X0,X1),join(X_710,X_709)))
| join(join(X0,X1),join(X_710,join(X_709,X1))) = join(X_710,join(X_709,join(X0,X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X0,X1),join(X_710,join(X_709,X1))))),bind(Y,$fot(join(X1,join(join(X0,X1),join(X_710,X_709))))),bind(Z,$fot(join(X_710,join(X_709,join(X0,X1)))))]]) ).
cnf(refute_0_2906,plain,
( join(X1,join(join(X0,X1),join(X_710,X_709))) != join(X_710,join(X_709,join(X0,X1)))
| join(join(X0,X1),join(X_710,join(X_709,X1))) = join(X_710,join(X_709,join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_710,join(X_709,X1))),join(X1,join(join(X0,X1),join(X_710,X_709)))) )],[refute_0_2904,refute_0_2905]) ).
cnf(refute_0_2907,plain,
join(join(X0,X1),join(X_710,join(X_709,X1))) = join(X_710,join(X_709,join(X0,X1))),
inference(resolve,[$cnf( $equal(join(X1,join(join(X0,X1),join(X_710,X_709))),join(X_710,join(X_709,join(X0,X1)))) )],[refute_0_2874,refute_0_2906]) ).
cnf(refute_0_2908,plain,
( join(X0,join(X_710,join(X_709,X1))) != join(join(X0,X1),join(X_710,join(X_709,X1)))
| join(join(X0,X1),join(X_710,join(X_709,X1))) != join(X_710,join(X_709,join(X0,X1)))
| join(X0,join(X_710,join(X_709,X1))) = join(X_710,join(X_709,join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_710,join(X_709,X1))),join(X_710,join(X_709,join(X0,X1)))) ),[0],$fot(join(join(X0,X1),join(X_710,join(X_709,X1))))]]) ).
cnf(refute_0_2909,plain,
( join(X0,join(X_710,join(X_709,X1))) != join(join(X0,X1),join(X_710,join(X_709,X1)))
| join(X0,join(X_710,join(X_709,X1))) = join(X_710,join(X_709,join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_710,join(X_709,X1))),join(X_710,join(X_709,join(X0,X1)))) )],[refute_0_2907,refute_0_2908]) ).
cnf(refute_0_2910,plain,
join(X0,join(X_710,join(X_709,X1))) = join(X_710,join(X_709,join(X0,X1))),
inference(resolve,[$cnf( $equal(join(X0,join(X_710,join(X_709,X1))),join(join(X0,X1),join(X_710,join(X_709,X1)))) )],[refute_0_2861,refute_0_2909]) ).
cnf(refute_0_2911,plain,
( join(X0,join(X_710,join(X_709,X1))) != join(X_710,join(X_709,join(X0,X1)))
| join(X_710,join(X_709,join(X0,X1))) = join(X0,join(X_710,join(X_709,X1))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,join(X_710,join(X_709,X1))))),bind(Y,$fot(join(X_710,join(X_709,join(X0,X1)))))]]) ).
cnf(refute_0_2912,plain,
join(X_710,join(X_709,join(X0,X1))) = join(X0,join(X_710,join(X_709,X1))),
inference(resolve,[$cnf( $equal(join(X0,join(X_710,join(X_709,X1))),join(X_710,join(X_709,join(X0,X1)))) )],[refute_0_2910,refute_0_2911]) ).
cnf(refute_0_2913,plain,
join(join(X0,X1),join(X_713,join(X1,X_712))) = join(X1,join(join(X0,X1),join(X_713,X_712))),
inference(subst,[],[refute_0_2912:[bind(X0,$fot(X1)),bind(X1,$fot(X_712)),bind(X_709,$fot(X_713)),bind(X_710,$fot(join(X0,X1)))]]) ).
cnf(refute_0_2914,plain,
( join(X1,join(join(X0,X1),join(X_713,X_712))) != join(X_713,join(X_712,join(X0,X1)))
| join(join(X0,X1),join(X_713,join(X1,X_712))) != join(X1,join(join(X0,X1),join(X_713,X_712)))
| join(join(X0,X1),join(X_713,join(X1,X_712))) = join(X_713,join(X_712,join(X0,X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X0,X1),join(X_713,join(X1,X_712))))),bind(Y,$fot(join(X1,join(join(X0,X1),join(X_713,X_712))))),bind(Z,$fot(join(X_713,join(X_712,join(X0,X1)))))]]) ).
cnf(refute_0_2915,plain,
( join(X1,join(join(X0,X1),join(X_713,X_712))) != join(X_713,join(X_712,join(X0,X1)))
| join(join(X0,X1),join(X_713,join(X1,X_712))) = join(X_713,join(X_712,join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_713,join(X1,X_712))),join(X1,join(join(X0,X1),join(X_713,X_712)))) )],[refute_0_2913,refute_0_2914]) ).
cnf(refute_0_2916,plain,
join(join(X0,X1),join(X_713,join(X1,X_712))) = join(X_713,join(X_712,join(X0,X1))),
inference(resolve,[$cnf( $equal(join(X1,join(join(X0,X1),join(X_713,X_712))),join(X_713,join(X_712,join(X0,X1)))) )],[refute_0_2856,refute_0_2915]) ).
cnf(refute_0_2917,plain,
( join(X0,join(X_712,join(X_713,X1))) != join(join(X0,X1),join(X_713,join(X1,X_712)))
| join(join(X0,X1),join(X_713,join(X1,X_712))) != join(X_713,join(X_712,join(X0,X1)))
| join(X0,join(X_712,join(X_713,X1))) = join(X_713,join(X_712,join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_712,join(X_713,X1))),join(X_713,join(X_712,join(X0,X1)))) ),[0],$fot(join(join(X0,X1),join(X_713,join(X1,X_712))))]]) ).
cnf(refute_0_2918,plain,
( join(X0,join(X_712,join(X_713,X1))) != join(join(X0,X1),join(X_713,join(X1,X_712)))
| join(X0,join(X_712,join(X_713,X1))) = join(X_713,join(X_712,join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_713,join(X1,X_712))),join(X_713,join(X_712,join(X0,X1)))) )],[refute_0_2916,refute_0_2917]) ).
cnf(refute_0_2919,plain,
join(X0,join(X_712,join(X_713,X1))) = join(X_713,join(X_712,join(X0,X1))),
inference(resolve,[$cnf( $equal(join(X0,join(X_712,join(X_713,X1))),join(join(X0,X1),join(X_713,join(X1,X_712)))) )],[refute_0_2843,refute_0_2918]) ).
cnf(refute_0_2920,plain,
( join(X0,join(X_712,join(X_713,X1))) != join(X_713,join(X_712,join(X0,X1)))
| join(X_713,join(X_712,join(X0,X1))) = join(X0,join(X_712,join(X_713,X1))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X0,join(X_712,join(X_713,X1))))),bind(Y,$fot(join(X_713,join(X_712,join(X0,X1)))))]]) ).
cnf(refute_0_2921,plain,
join(X_713,join(X_712,join(X0,X1))) = join(X0,join(X_712,join(X_713,X1))),
inference(resolve,[$cnf( $equal(join(X0,join(X_712,join(X_713,X1))),join(X_713,join(X_712,join(X0,X1)))) )],[refute_0_2919,refute_0_2920]) ).
cnf(refute_0_2922,plain,
join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0)))) = join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))),
inference(subst,[],[refute_0_2921:[bind(X0,$fot(X_179)),bind(X1,$fot(join(X_713,X0))),bind(X_713,$fot(join(X_179,join(X_713,X0))))]]) ).
cnf(refute_0_2923,plain,
( join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))) != join(X_713,join(X0,join(X_712,X_179)))
| join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0)))) != join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0))))
| join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0)))) = join(X_713,join(X0,join(X_712,X_179))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0)))))),bind(Y,$fot(join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))))),bind(Z,$fot(join(X_713,join(X0,join(X_712,X_179)))))]]) ).
cnf(refute_0_2924,plain,
( join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))) != join(X_713,join(X0,join(X_712,X_179)))
| join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0)))) = join(X_713,join(X0,join(X_712,X_179))) ),
inference(resolve,[$cnf( $equal(join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0)))),join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0))))) )],[refute_0_2922,refute_0_2923]) ).
cnf(refute_0_2925,plain,
join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0)))) = join(X_713,join(X0,join(X_712,X_179))),
inference(resolve,[$cnf( $equal(join(X_179,join(X_712,join(join(X_179,join(X_713,X0)),join(X_713,X0)))),join(X_713,join(X0,join(X_712,X_179)))) )],[refute_0_2836,refute_0_2924]) ).
cnf(refute_0_2926,plain,
join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))) = join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))),
introduced(tautology,[refl,[$fot(join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))))]]) ).
cnf(refute_0_2927,plain,
( join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))) != join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0)))))
| join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0)))) != join(X_713,join(X0,join(X_712,X_179)))
| join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))) = join(X_713,join(X_713,join(X0,join(X_712,X_179)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))),join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0)))))) ),[1,1],$fot(join(X_713,join(X0,join(X_712,X_179))))]]) ).
cnf(refute_0_2928,plain,
( join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0)))) != join(X_713,join(X0,join(X_712,X_179)))
| join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))) = join(X_713,join(X_713,join(X0,join(X_712,X_179)))) ),
inference(resolve,[$cnf( $equal(join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))),join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0)))))) )],[refute_0_2926,refute_0_2927]) ).
cnf(refute_0_2929,plain,
join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))) = join(X_713,join(X_713,join(X0,join(X_712,X_179)))),
inference(resolve,[$cnf( $equal(join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0)))),join(X_713,join(X0,join(X_712,X_179)))) )],[refute_0_2925,refute_0_2928]) ).
cnf(refute_0_2930,plain,
( join(X_713,join(X_713,join(X0,join(X_712,X_179)))) != join(X_713,join(X0,join(X_712,X_179)))
| join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))) != join(X_713,join(X_713,join(X0,join(X_712,X_179))))
| join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))) = join(X_713,join(X0,join(X_712,X_179))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))))),bind(Y,$fot(join(X_713,join(X_713,join(X0,join(X_712,X_179)))))),bind(Z,$fot(join(X_713,join(X0,join(X_712,X_179)))))]]) ).
cnf(refute_0_2931,plain,
( join(X_713,join(X_713,join(X0,join(X_712,X_179)))) != join(X_713,join(X0,join(X_712,X_179)))
| join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))) = join(X_713,join(X0,join(X_712,X_179))) ),
inference(resolve,[$cnf( $equal(join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))),join(X_713,join(X_713,join(X0,join(X_712,X_179))))) )],[refute_0_2929,refute_0_2930]) ).
cnf(refute_0_2932,plain,
join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))) = join(X_713,join(X0,join(X_712,X_179))),
inference(resolve,[$cnf( $equal(join(X_713,join(X_713,join(X0,join(X_712,X_179)))),join(X_713,join(X0,join(X_712,X_179)))) )],[refute_0_2590,refute_0_2931]) ).
cnf(refute_0_2933,plain,
join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))) = join(join(X0,X1),join(X_713,join(join(X0,X1),X_712))),
inference(subst,[],[refute_0_260:[bind(X2,$fot(join(X_713,join(join(X0,X1),X_712))))]]) ).
cnf(refute_0_2934,plain,
join(X_712,join(X_713,join(X0,X1))) = join(join(X0,X1),join(X_713,join(join(X0,X1),X_712))),
inference(subst,[],[refute_0_2371:[bind(X0,$fot(X_712)),bind(X_179,$fot(X_713)),bind(X_80,$fot(join(X0,X1)))]]) ).
cnf(refute_0_2935,plain,
( join(X_712,join(X_713,join(X0,X1))) != join(join(X0,X1),join(X_713,join(join(X0,X1),X_712)))
| join(join(X0,X1),join(X_713,join(join(X0,X1),X_712))) = join(X_712,join(X_713,join(X0,X1))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_712,join(X_713,join(X0,X1))))),bind(Y,$fot(join(join(X0,X1),join(X_713,join(join(X0,X1),X_712)))))]]) ).
cnf(refute_0_2936,plain,
join(join(X0,X1),join(X_713,join(join(X0,X1),X_712))) = join(X_712,join(X_713,join(X0,X1))),
inference(resolve,[$cnf( $equal(join(X_712,join(X_713,join(X0,X1))),join(join(X0,X1),join(X_713,join(join(X0,X1),X_712)))) )],[refute_0_2934,refute_0_2935]) ).
cnf(refute_0_2937,plain,
( join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))) != join(join(X0,X1),join(X_713,join(join(X0,X1),X_712)))
| join(join(X0,X1),join(X_713,join(join(X0,X1),X_712))) != join(X_712,join(X_713,join(X0,X1)))
| join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))) = join(X_712,join(X_713,join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))),join(X_712,join(X_713,join(X0,X1)))) ),[0],$fot(join(join(X0,X1),join(X_713,join(join(X0,X1),X_712))))]]) ).
cnf(refute_0_2938,plain,
( join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))) != join(join(X0,X1),join(X_713,join(join(X0,X1),X_712)))
| join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))) = join(X_712,join(X_713,join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_713,join(join(X0,X1),X_712))),join(X_712,join(X_713,join(X0,X1)))) )],[refute_0_2936,refute_0_2937]) ).
cnf(refute_0_2939,plain,
join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))) = join(X_712,join(X_713,join(X0,X1))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))),join(join(X0,X1),join(X_713,join(join(X0,X1),X_712)))) )],[refute_0_2933,refute_0_2938]) ).
cnf(refute_0_2940,plain,
join(join(X1,X_712),join(X_713,X0)) = join(X1,join(X_712,join(X_713,X0))),
inference(subst,[],[refute_0_262:[bind(X0,$fot(X1)),bind(X1,$fot(X_712)),bind(X2,$fot(join(X_713,X0)))]]) ).
cnf(refute_0_2941,plain,
join(X0,join(X_713,join(X0,join(X1,X_712)))) = join(join(X1,X_712),join(X_713,X0)),
inference(subst,[],[refute_0_2380:[bind(X0,$fot(join(X1,X_712))),bind(X_179,$fot(X_713)),bind(X_80,$fot(X0))]]) ).
cnf(refute_0_2942,plain,
( join(X0,join(X_713,join(X0,join(X1,X_712)))) != join(join(X1,X_712),join(X_713,X0))
| join(join(X1,X_712),join(X_713,X0)) != join(X1,join(X_712,join(X_713,X0)))
| join(X0,join(X_713,join(X0,join(X1,X_712)))) = join(X1,join(X_712,join(X_713,X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X0,join(X_713,join(X0,join(X1,X_712)))))),bind(Y,$fot(join(join(X1,X_712),join(X_713,X0)))),bind(Z,$fot(join(X1,join(X_712,join(X_713,X0)))))]]) ).
cnf(refute_0_2943,plain,
( join(join(X1,X_712),join(X_713,X0)) != join(X1,join(X_712,join(X_713,X0)))
| join(X0,join(X_713,join(X0,join(X1,X_712)))) = join(X1,join(X_712,join(X_713,X0))) ),
inference(resolve,[$cnf( $equal(join(X0,join(X_713,join(X0,join(X1,X_712)))),join(join(X1,X_712),join(X_713,X0))) )],[refute_0_2941,refute_0_2942]) ).
cnf(refute_0_2944,plain,
join(X0,join(X_713,join(X0,join(X1,X_712)))) = join(X1,join(X_712,join(X_713,X0))),
inference(resolve,[$cnf( $equal(join(join(X1,X_712),join(X_713,X0)),join(X1,join(X_712,join(X_713,X0)))) )],[refute_0_2940,refute_0_2943]) ).
cnf(refute_0_2945,plain,
join(X1,join(X_713,join(X0,join(X1,X_712)))) = join(X_713,join(X0,join(X1,X_712))),
inference(subst,[],[refute_0_2676:[bind(X_364,$fot(X_713)),bind(X_365,$fot(X0)),bind(X_47,$fot(X1)),bind(X_82,$fot(X_712))]]) ).
cnf(refute_0_2946,plain,
join(join(X0,X1),X_712) = join(X0,join(X1,X_712)),
inference(subst,[],[refute_0_262:[bind(X2,$fot(X_712))]]) ).
cnf(refute_0_2947,plain,
join(X_713,join(join(X0,X1),X_712)) = join(X_713,join(join(X0,X1),X_712)),
introduced(tautology,[refl,[$fot(join(X_713,join(join(X0,X1),X_712)))]]) ).
cnf(refute_0_2948,plain,
( join(X_713,join(join(X0,X1),X_712)) != join(X_713,join(join(X0,X1),X_712))
| join(join(X0,X1),X_712) != join(X0,join(X1,X_712))
| join(X_713,join(join(X0,X1),X_712)) = join(X_713,join(X0,join(X1,X_712))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_713,join(join(X0,X1),X_712)),join(X_713,join(join(X0,X1),X_712))) ),[1,1],$fot(join(X0,join(X1,X_712)))]]) ).
cnf(refute_0_2949,plain,
( join(join(X0,X1),X_712) != join(X0,join(X1,X_712))
| join(X_713,join(join(X0,X1),X_712)) = join(X_713,join(X0,join(X1,X_712))) ),
inference(resolve,[$cnf( $equal(join(X_713,join(join(X0,X1),X_712)),join(X_713,join(join(X0,X1),X_712))) )],[refute_0_2947,refute_0_2948]) ).
cnf(refute_0_2950,plain,
join(X_713,join(join(X0,X1),X_712)) = join(X_713,join(X0,join(X1,X_712))),
inference(resolve,[$cnf( $equal(join(join(X0,X1),X_712),join(X0,join(X1,X_712))) )],[refute_0_2946,refute_0_2949]) ).
cnf(refute_0_2951,plain,
join(X1,join(X_713,join(join(X0,X1),X_712))) = join(X1,join(X_713,join(join(X0,X1),X_712))),
introduced(tautology,[refl,[$fot(join(X1,join(X_713,join(join(X0,X1),X_712))))]]) ).
cnf(refute_0_2952,plain,
( join(X1,join(X_713,join(join(X0,X1),X_712))) != join(X1,join(X_713,join(join(X0,X1),X_712)))
| join(X_713,join(join(X0,X1),X_712)) != join(X_713,join(X0,join(X1,X_712)))
| join(X1,join(X_713,join(join(X0,X1),X_712))) = join(X1,join(X_713,join(X0,join(X1,X_712)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(X_713,join(join(X0,X1),X_712))),join(X1,join(X_713,join(join(X0,X1),X_712)))) ),[1,1],$fot(join(X_713,join(X0,join(X1,X_712))))]]) ).
cnf(refute_0_2953,plain,
( join(X_713,join(join(X0,X1),X_712)) != join(X_713,join(X0,join(X1,X_712)))
| join(X1,join(X_713,join(join(X0,X1),X_712))) = join(X1,join(X_713,join(X0,join(X1,X_712)))) ),
inference(resolve,[$cnf( $equal(join(X1,join(X_713,join(join(X0,X1),X_712))),join(X1,join(X_713,join(join(X0,X1),X_712)))) )],[refute_0_2951,refute_0_2952]) ).
cnf(refute_0_2954,plain,
join(X1,join(X_713,join(join(X0,X1),X_712))) = join(X1,join(X_713,join(X0,join(X1,X_712)))),
inference(resolve,[$cnf( $equal(join(X_713,join(join(X0,X1),X_712)),join(X_713,join(X0,join(X1,X_712)))) )],[refute_0_2950,refute_0_2953]) ).
cnf(refute_0_2955,plain,
( join(X1,join(X_713,join(X0,join(X1,X_712)))) != join(X_713,join(X0,join(X1,X_712)))
| join(X1,join(X_713,join(join(X0,X1),X_712))) != join(X1,join(X_713,join(X0,join(X1,X_712))))
| join(X1,join(X_713,join(join(X0,X1),X_712))) = join(X_713,join(X0,join(X1,X_712))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X1,join(X_713,join(join(X0,X1),X_712))))),bind(Y,$fot(join(X1,join(X_713,join(X0,join(X1,X_712)))))),bind(Z,$fot(join(X_713,join(X0,join(X1,X_712)))))]]) ).
cnf(refute_0_2956,plain,
( join(X1,join(X_713,join(X0,join(X1,X_712)))) != join(X_713,join(X0,join(X1,X_712)))
| join(X1,join(X_713,join(join(X0,X1),X_712))) = join(X_713,join(X0,join(X1,X_712))) ),
inference(resolve,[$cnf( $equal(join(X1,join(X_713,join(join(X0,X1),X_712))),join(X1,join(X_713,join(X0,join(X1,X_712))))) )],[refute_0_2954,refute_0_2955]) ).
cnf(refute_0_2957,plain,
join(X1,join(X_713,join(join(X0,X1),X_712))) = join(X_713,join(X0,join(X1,X_712))),
inference(resolve,[$cnf( $equal(join(X1,join(X_713,join(X0,join(X1,X_712)))),join(X_713,join(X0,join(X1,X_712)))) )],[refute_0_2945,refute_0_2956]) ).
cnf(refute_0_2958,plain,
join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))) = join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))),
introduced(tautology,[refl,[$fot(join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))))]]) ).
cnf(refute_0_2959,plain,
( join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))) != join(X0,join(X1,join(X_713,join(join(X0,X1),X_712))))
| join(X1,join(X_713,join(join(X0,X1),X_712))) != join(X_713,join(X0,join(X1,X_712)))
| join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))) = join(X0,join(X_713,join(X0,join(X1,X_712)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))),join(X0,join(X1,join(X_713,join(join(X0,X1),X_712))))) ),[1,1],$fot(join(X_713,join(X0,join(X1,X_712))))]]) ).
cnf(refute_0_2960,plain,
( join(X1,join(X_713,join(join(X0,X1),X_712))) != join(X_713,join(X0,join(X1,X_712)))
| join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))) = join(X0,join(X_713,join(X0,join(X1,X_712)))) ),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))),join(X0,join(X1,join(X_713,join(join(X0,X1),X_712))))) )],[refute_0_2958,refute_0_2959]) ).
cnf(refute_0_2961,plain,
join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))) = join(X0,join(X_713,join(X0,join(X1,X_712)))),
inference(resolve,[$cnf( $equal(join(X1,join(X_713,join(join(X0,X1),X_712))),join(X_713,join(X0,join(X1,X_712)))) )],[refute_0_2957,refute_0_2960]) ).
cnf(refute_0_2962,plain,
( join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))) != join(X0,join(X_713,join(X0,join(X1,X_712))))
| join(X0,join(X_713,join(X0,join(X1,X_712)))) != join(X1,join(X_712,join(X_713,X0)))
| join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))) = join(X1,join(X_712,join(X_713,X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))))),bind(Y,$fot(join(X0,join(X_713,join(X0,join(X1,X_712)))))),bind(Z,$fot(join(X1,join(X_712,join(X_713,X0)))))]]) ).
cnf(refute_0_2963,plain,
( join(X0,join(X_713,join(X0,join(X1,X_712)))) != join(X1,join(X_712,join(X_713,X0)))
| join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))) = join(X1,join(X_712,join(X_713,X0))) ),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))),join(X0,join(X_713,join(X0,join(X1,X_712))))) )],[refute_0_2961,refute_0_2962]) ).
cnf(refute_0_2964,plain,
join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))) = join(X1,join(X_712,join(X_713,X0))),
inference(resolve,[$cnf( $equal(join(X0,join(X_713,join(X0,join(X1,X_712)))),join(X1,join(X_712,join(X_713,X0)))) )],[refute_0_2944,refute_0_2963]) ).
cnf(refute_0_2965,plain,
( join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))) != join(X1,join(X_712,join(X_713,X0)))
| join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))) != join(X_712,join(X_713,join(X0,X1)))
| join(X1,join(X_712,join(X_713,X0))) = join(X_712,join(X_713,join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))),join(X_712,join(X_713,join(X0,X1)))) ),[0],$fot(join(X1,join(X_712,join(X_713,X0))))]]) ).
cnf(refute_0_2966,plain,
( join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))) != join(X_712,join(X_713,join(X0,X1)))
| join(X1,join(X_712,join(X_713,X0))) = join(X_712,join(X_713,join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))),join(X1,join(X_712,join(X_713,X0)))) )],[refute_0_2964,refute_0_2965]) ).
cnf(refute_0_2967,plain,
join(X1,join(X_712,join(X_713,X0))) = join(X_712,join(X_713,join(X0,X1))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_713,join(join(X0,X1),X_712)))),join(X_712,join(X_713,join(X0,X1)))) )],[refute_0_2939,refute_0_2966]) ).
cnf(refute_0_2968,plain,
join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712))) = join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))),
inference(subst,[],[refute_0_2967:[bind(X0,$fot(X_712)),bind(X1,$fot(join(X_179,join(X_713,X0)))),bind(X_712,$fot(X_713)),bind(X_713,$fot(join(X_179,join(X_713,X0))))]]) ).
cnf(refute_0_2969,plain,
( join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))) != join(X_713,join(X0,join(X_712,X_179)))
| join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712))) != join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0)))))
| join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712))) = join(X_713,join(X0,join(X_712,X_179))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712))))),bind(Y,$fot(join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))))),bind(Z,$fot(join(X_713,join(X0,join(X_712,X_179)))))]]) ).
cnf(refute_0_2970,plain,
( join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))) != join(X_713,join(X0,join(X_712,X_179)))
| join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712))) = join(X_713,join(X0,join(X_712,X_179))) ),
inference(resolve,[$cnf( $equal(join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712))),join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0)))))) )],[refute_0_2968,refute_0_2969]) ).
cnf(refute_0_2971,plain,
join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712))) = join(X_713,join(X0,join(X_712,X_179))),
inference(resolve,[$cnf( $equal(join(X_713,join(join(X_179,join(X_713,X0)),join(X_712,join(X_179,join(X_713,X0))))),join(X_713,join(X0,join(X_712,X_179)))) )],[refute_0_2932,refute_0_2970]) ).
cnf(refute_0_2972,plain,
( join(X_712,join(X0,join(X_179,X_713))) != join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712)))
| join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712))) != join(X_713,join(X0,join(X_712,X_179)))
| join(X_712,join(X0,join(X_179,X_713))) = join(X_713,join(X0,join(X_712,X_179))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_712,join(X0,join(X_179,X_713))),join(X_713,join(X0,join(X_712,X_179)))) ),[0],$fot(join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712))))]]) ).
cnf(refute_0_2973,plain,
( join(X_712,join(X0,join(X_179,X_713))) != join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712)))
| join(X_712,join(X0,join(X_179,X_713))) = join(X_713,join(X0,join(X_712,X_179))) ),
inference(resolve,[$cnf( $equal(join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712))),join(X_713,join(X0,join(X_712,X_179)))) )],[refute_0_2971,refute_0_2972]) ).
cnf(refute_0_2974,plain,
join(X_712,join(X0,join(X_179,X_713))) = join(X_713,join(X0,join(X_712,X_179))),
inference(resolve,[$cnf( $equal(join(X_712,join(X0,join(X_179,X_713))),join(join(X_179,join(X_713,X0)),join(X_713,join(join(X_179,join(X_713,X0)),X_712)))) )],[refute_0_2589,refute_0_2973]) ).
cnf(refute_0_2975,plain,
( join(X_712,join(X0,join(X_179,X_713))) != join(X_713,join(X0,join(X_712,X_179)))
| join(X_713,join(X0,join(X_712,X_179))) = join(X_712,join(X0,join(X_179,X_713))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_712,join(X0,join(X_179,X_713))))),bind(Y,$fot(join(X_713,join(X0,join(X_712,X_179)))))]]) ).
cnf(refute_0_2976,plain,
join(X_713,join(X0,join(X_712,X_179))) = join(X_712,join(X0,join(X_179,X_713))),
inference(resolve,[$cnf( $equal(join(X_712,join(X0,join(X_179,X_713))),join(X_713,join(X0,join(X_712,X_179)))) )],[refute_0_2974,refute_0_2975]) ).
cnf(refute_0_2977,plain,
join(meet(X_39,X1),join(X_713,join(X_39,X_82))) = join(X_39,join(X_713,join(X_82,meet(X_39,X1)))),
inference(subst,[],[refute_0_2976:[bind(X0,$fot(X_713)),bind(X_179,$fot(X_82)),bind(X_712,$fot(X_39)),bind(X_713,$fot(meet(X_39,X1)))]]) ).
cnf(refute_0_2978,plain,
( join(X_713,join(X_39,X_82)) != join(meet(X_39,X1),join(X_713,join(X_39,X_82)))
| join(meet(X_39,X1),join(X_713,join(X_39,X_82))) != join(X_39,join(X_713,join(X_82,meet(X_39,X1))))
| join(X_713,join(X_39,X_82)) = join(X_39,join(X_713,join(X_82,meet(X_39,X1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_713,join(X_39,X_82)),join(X_39,join(X_713,join(X_82,meet(X_39,X1))))) ),[0],$fot(join(meet(X_39,X1),join(X_713,join(X_39,X_82))))]]) ).
cnf(refute_0_2979,plain,
( join(X_713,join(X_39,X_82)) != join(meet(X_39,X1),join(X_713,join(X_39,X_82)))
| join(X_713,join(X_39,X_82)) = join(X_39,join(X_713,join(X_82,meet(X_39,X1)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_39,X1),join(X_713,join(X_39,X_82))),join(X_39,join(X_713,join(X_82,meet(X_39,X1))))) )],[refute_0_2977,refute_0_2978]) ).
cnf(refute_0_2980,plain,
( join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))) != join(meet(X_39,X1),join(X_713,join(X_39,X_82)))
| join(X_713,join(X_39,X_82)) = join(X_39,join(X_713,join(X_82,meet(X_39,X1)))) ),
inference(resolve,[$cnf( $equal(join(X_713,join(X_39,X_82)),join(meet(X_39,X1),join(X_713,join(X_39,X_82)))) )],[refute_0_2582,refute_0_2979]) ).
cnf(refute_0_2981,plain,
join(X_713,join(X_39,X_82)) = join(X_39,join(X_713,join(X_82,meet(X_39,X1)))),
inference(resolve,[$cnf( $equal(join(join(meet(X_39,complement(X1)),X_82),join(X_713,meet(X_39,X1))),join(meet(X_39,X1),join(X_713,join(X_39,X_82)))) )],[refute_0_2405,refute_0_2980]) ).
cnf(refute_0_2982,plain,
( join(X_713,join(X_39,X_82)) != join(X_39,join(X_713,join(X_82,meet(X_39,X1))))
| join(X_39,join(X_713,join(X_82,meet(X_39,X1)))) = join(X_713,join(X_39,X_82)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_713,join(X_39,X_82)))),bind(Y,$fot(join(X_39,join(X_713,join(X_82,meet(X_39,X1))))))]]) ).
cnf(refute_0_2983,plain,
join(X_39,join(X_713,join(X_82,meet(X_39,X1)))) = join(X_713,join(X_39,X_82)),
inference(resolve,[$cnf( $equal(join(X_713,join(X_39,X_82)),join(X_39,join(X_713,join(X_82,meet(X_39,X1))))) )],[refute_0_2981,refute_0_2982]) ).
cnf(refute_0_2984,plain,
join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1))))) = join(X_710,join(X_39,X_709)),
inference(subst,[],[refute_0_2983:[bind(X1,$fot(complement(X1))),bind(X_713,$fot(X_710)),bind(X_82,$fot(X_709))]]) ).
cnf(refute_0_2985,plain,
( join(X_39,join(X_710,X_709)) != join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1)))))
| join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1))))) != join(X_710,join(X_39,X_709))
| join(X_39,join(X_710,X_709)) = join(X_710,join(X_39,X_709)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_39,join(X_710,X_709)),join(X_710,join(X_39,X_709))) ),[0],$fot(join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1))))))]]) ).
cnf(refute_0_2986,plain,
( join(X_39,join(X_710,X_709)) != join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1)))))
| join(X_39,join(X_710,X_709)) = join(X_710,join(X_39,X_709)) ),
inference(resolve,[$cnf( $equal(join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1))))),join(X_710,join(X_39,X_709))) )],[refute_0_2984,refute_0_2985]) ).
cnf(refute_0_2987,plain,
join(X_39,join(X_710,X_709)) = join(X_710,join(X_39,X_709)),
inference(resolve,[$cnf( $equal(join(X_39,join(X_710,X_709)),join(X_39,join(X_710,join(X_709,meet(X_39,complement(X1)))))) )],[refute_0_2401,refute_0_2986]) ).
cnf(refute_0_2988,plain,
( join(X_39,join(X_710,X_709)) != join(X_710,join(X_39,X_709))
| join(X_710,join(X_39,X_709)) = join(X_39,join(X_710,X_709)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_39,join(X_710,X_709)))),bind(Y,$fot(join(X_710,join(X_39,X_709))))]]) ).
cnf(refute_0_2989,plain,
join(X_710,join(X_39,X_709)) = join(X_39,join(X_710,X_709)),
inference(resolve,[$cnf( $equal(join(X_39,join(X_710,X_709)),join(X_710,join(X_39,X_709))) )],[refute_0_2987,refute_0_2988]) ).
cnf(refute_0_2990,plain,
join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),join(X_755,complement(X_297))) = join(X_755,join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),complement(X_297))),
inference(subst,[],[refute_0_2989:[bind(X_39,$fot(X_755)),bind(X_709,$fot(complement(X_297))),bind(X_710,$fot(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))]]) ).
cnf(refute_0_2991,plain,
( join(X_755,join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),complement(X_297))) != join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))
| join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),join(X_755,complement(X_297))) != join(X_755,join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),complement(X_297)))
| join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),join(X_755,complement(X_297))) = join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),join(X_755,complement(X_297))))),bind(Y,$fot(join(X_755,join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),complement(X_297))))),bind(Z,$fot(join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))))]]) ).
cnf(refute_0_2992,plain,
( join(X_755,join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),complement(X_297))) != join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))
| join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),join(X_755,complement(X_297))) = join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),join(X_755,complement(X_297))),join(X_755,join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),complement(X_297)))) )],[refute_0_2990,refute_0_2991]) ).
cnf(refute_0_2993,plain,
join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),join(X_755,complement(X_297))) = join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),
inference(resolve,[$cnf( $equal(join(X_755,join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),complement(X_297))),join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))) )],[refute_0_2387,refute_0_2992]) ).
cnf(refute_0_2994,plain,
join(X_755,join(complement(join(X_297,X_755)),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) = join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),join(X_755,complement(X_297))),
inference(subst,[],[refute_0_2023:[bind(X_299,$fot(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),bind(X_47,$fot(X_297)),bind(X_48,$fot(X_755))]]) ).
cnf(refute_0_2995,plain,
( join(X_755,join(complement(join(X_297,X_755)),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) != join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),join(X_755,complement(X_297)))
| join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),join(X_755,complement(X_297))) != join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))
| join(X_755,join(complement(join(X_297,X_755)),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) = join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_755,join(complement(join(X_297,X_755)),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))))),bind(Y,$fot(join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),join(X_755,complement(X_297))))),bind(Z,$fot(join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))))]]) ).
cnf(refute_0_2996,plain,
( join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),join(X_755,complement(X_297))) != join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))
| join(X_755,join(complement(join(X_297,X_755)),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) = join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) ),
inference(resolve,[$cnf( $equal(join(X_755,join(complement(join(X_297,X_755)),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),join(X_755,complement(X_297)))) )],[refute_0_2994,refute_0_2995]) ).
cnf(refute_0_2997,plain,
join(X_755,join(complement(join(X_297,X_755)),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) = join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top),join(X_755,complement(X_297))),join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))) )],[refute_0_2993,refute_0_2996]) ).
cnf(refute_0_2998,plain,
join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) = join(X_755,join(complement(join(X_297,X_755)),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),
inference(subst,[],[refute_0_2989:[bind(X_39,$fot(X_755)),bind(X_709,$fot(composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),bind(X_710,$fot(complement(join(X_297,X_755))))]]) ).
cnf(refute_0_2999,plain,
( join(X_755,join(complement(join(X_297,X_755)),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) != join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))
| join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) != join(X_755,join(complement(join(X_297,X_755)),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))
| join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) = join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))))),bind(Y,$fot(join(X_755,join(complement(join(X_297,X_755)),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))))),bind(Z,$fot(join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))))]]) ).
cnf(refute_0_3000,plain,
( join(X_755,join(complement(join(X_297,X_755)),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) != join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))
| join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) = join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),join(X_755,join(complement(join(X_297,X_755)),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))) )],[refute_0_2998,refute_0_2999]) ).
cnf(refute_0_3001,plain,
join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) = join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),
inference(resolve,[$cnf( $equal(join(X_755,join(complement(join(X_297,X_755)),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))) )],[refute_0_2997,refute_0_3000]) ).
cnf(refute_0_3002,plain,
( join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) != join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)))
| join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) != join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))
| join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) = join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))))),bind(Y,$fot(join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))))),bind(Z,$fot(join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)))))]]) ).
cnf(refute_0_3003,plain,
( join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) != join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)))
| join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) = join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))) )],[refute_0_3001,refute_0_3002]) ).
cnf(refute_0_3004,plain,
join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) = join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))),
inference(resolve,[$cnf( $equal(join(X_755,join(complement(X_297),composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)))) )],[refute_0_2356,refute_0_3003]) ).
cnf(refute_0_3005,plain,
( join(complement(X_297),X_755) != join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))
| join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))) != join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)))
| join(complement(X_297),X_755) = join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_297),X_755),join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)))) ),[0],$fot(join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))))]]) ).
cnf(refute_0_3006,plain,
( join(complement(X_297),X_755) != join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))
| join(complement(X_297),X_755) = join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top))),join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)))) )],[refute_0_3004,refute_0_3005]) ).
cnf(refute_0_3007,plain,
join(complement(X_297),X_755) = join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))),
inference(resolve,[$cnf( $equal(join(complement(X_297),X_755),join(complement(join(X_297,X_755)),join(X_755,composition(complement(composition(complement(complement(join(X_297,X_755))),top)),top)))) )],[refute_0_2335,refute_0_3006]) ).
cnf(refute_0_3008,plain,
join(complement(X1),composition(converse(composition(X_66,X_67)),complement(composition(composition(X_66,X_67),X1)))) = complement(X1),
inference(subst,[],[refute_0_40:[bind(X0,$fot(composition(X_66,X_67)))]]) ).
cnf(refute_0_3009,plain,
composition(X_66,composition(X_67,X1)) = composition(composition(X_66,X_67),X1),
inference(subst,[],[refute_0_2172:[bind(X0,$fot(X_66)),bind(X1,$fot(X_67)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_3010,plain,
( composition(X_66,composition(X_67,X1)) != composition(composition(X_66,X_67),X1)
| composition(composition(X_66,X_67),X1) = composition(X_66,composition(X_67,X1)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(X_66,composition(X_67,X1)))),bind(Y,$fot(composition(composition(X_66,X_67),X1)))]]) ).
cnf(refute_0_3011,plain,
composition(composition(X_66,X_67),X1) = composition(X_66,composition(X_67,X1)),
inference(resolve,[$cnf( $equal(composition(X_66,composition(X_67,X1)),composition(composition(X_66,X_67),X1)) )],[refute_0_3009,refute_0_3010]) ).
cnf(refute_0_3012,plain,
( composition(composition(X_66,X_67),X1) != composition(X_66,composition(X_67,X1))
| join(complement(X1),composition(converse(composition(X_66,X_67)),complement(composition(composition(X_66,X_67),X1)))) != complement(X1)
| join(complement(X1),composition(converse(composition(X_66,X_67)),complement(composition(X_66,composition(X_67,X1))))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(composition(X_66,X_67)),complement(composition(composition(X_66,X_67),X1)))),complement(X1)) ),[0,1,1,0],$fot(composition(X_66,composition(X_67,X1)))]]) ).
cnf(refute_0_3013,plain,
( join(complement(X1),composition(converse(composition(X_66,X_67)),complement(composition(composition(X_66,X_67),X1)))) != complement(X1)
| join(complement(X1),composition(converse(composition(X_66,X_67)),complement(composition(X_66,composition(X_67,X1))))) = complement(X1) ),
inference(resolve,[$cnf( $equal(composition(composition(X_66,X_67),X1),composition(X_66,composition(X_67,X1))) )],[refute_0_3011,refute_0_3012]) ).
cnf(refute_0_3014,plain,
join(complement(X1),composition(converse(composition(X_66,X_67)),complement(composition(X_66,composition(X_67,X1))))) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(composition(X_66,X_67)),complement(composition(composition(X_66,X_67),X1)))),complement(X1)) )],[refute_0_3008,refute_0_3013]) ).
cnf(refute_0_3015,plain,
join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),composition(X_484,X_482))))) = complement(X_482),
inference(subst,[],[refute_0_3014:[bind(X1,$fot(X_482)),bind(X_66,$fot(complement(converse(composition(top,composition(composition(X_484,X_482),top)))))),bind(X_67,$fot(X_484))]]) ).
cnf(refute_0_3016,plain,
converse(composition(converse(X_231),complement(composition(top,composition(X_231,top))))) = composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))),
inference(subst,[],[refute_0_44:[bind(X0,$fot(converse(X_231))),bind(X1,$fot(complement(composition(top,composition(X_231,top)))))]]) ).
cnf(refute_0_3017,plain,
composition(converse(composition(X0,X1)),complement(composition(composition(X0,X1),top))) = zero,
inference(subst,[],[refute_0_2197:[bind(X_33,$fot(composition(X0,X1)))]]) ).
cnf(refute_0_3018,plain,
composition(X0,composition(X1,top)) = composition(composition(X0,X1),top),
inference(subst,[],[refute_0_2172:[bind(X2,$fot(top))]]) ).
cnf(refute_0_3019,plain,
( composition(X0,composition(X1,top)) != composition(composition(X0,X1),top)
| composition(composition(X0,X1),top) = composition(X0,composition(X1,top)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(X0,composition(X1,top)))),bind(Y,$fot(composition(composition(X0,X1),top)))]]) ).
cnf(refute_0_3020,plain,
composition(composition(X0,X1),top) = composition(X0,composition(X1,top)),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,top)),composition(composition(X0,X1),top)) )],[refute_0_3018,refute_0_3019]) ).
cnf(refute_0_3021,plain,
( composition(composition(X0,X1),top) != composition(X0,composition(X1,top))
| composition(converse(composition(X0,X1)),complement(composition(composition(X0,X1),top))) != zero
| composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X0,X1)),complement(composition(composition(X0,X1),top))),zero) ),[0,1,0],$fot(composition(X0,composition(X1,top)))]]) ).
cnf(refute_0_3022,plain,
( composition(converse(composition(X0,X1)),complement(composition(composition(X0,X1),top))) != zero
| composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top)))) = zero ),
inference(resolve,[$cnf( $equal(composition(composition(X0,X1),top),composition(X0,composition(X1,top))) )],[refute_0_3020,refute_0_3021]) ).
cnf(refute_0_3023,plain,
composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top)))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(X0,X1)),complement(composition(composition(X0,X1),top))),zero) )],[refute_0_3017,refute_0_3022]) ).
cnf(refute_0_3024,plain,
composition(converse(composition(top,composition(top,X2))),complement(composition(top,composition(composition(top,X2),top)))) = zero,
inference(subst,[],[refute_0_3023:[bind(X0,$fot(top)),bind(X1,$fot(composition(top,X2)))]]) ).
cnf(refute_0_3025,plain,
composition(top,composition(top,X2)) = composition(composition(top,top),X2),
inference(subst,[],[refute_0_2172:[bind(X0,$fot(top)),bind(X1,$fot(top))]]) ).
cnf(refute_0_3026,plain,
composition(top,top) = join(meet(X_61,composition(top,top)),complement(join(X_61,complement(composition(top,top))))),
inference(subst,[],[refute_0_964:[bind(X_60,$fot(composition(top,top)))]]) ).
cnf(refute_0_3027,plain,
complement(composition(top,top)) = composition(one,complement(composition(top,top))),
inference(subst,[],[refute_0_76:[bind(X_28,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_3028,plain,
zero = composition(one,complement(composition(top,top))),
inference(subst,[],[refute_0_2224:[bind(X1,$fot(one))]]) ).
cnf(refute_0_3029,plain,
( zero != composition(one,complement(composition(top,top)))
| composition(one,complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(composition(one,complement(composition(top,top)))))]]) ).
cnf(refute_0_3030,plain,
composition(one,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(one,complement(composition(top,top)))) )],[refute_0_3028,refute_0_3029]) ).
cnf(refute_0_3031,plain,
( complement(composition(top,top)) != composition(one,complement(composition(top,top)))
| composition(one,complement(composition(top,top))) != zero
| complement(composition(top,top)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(top,top)),zero) ),[0],$fot(composition(one,complement(composition(top,top))))]]) ).
cnf(refute_0_3032,plain,
( complement(composition(top,top)) != composition(one,complement(composition(top,top)))
| complement(composition(top,top)) = zero ),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(top,top))),zero) )],[refute_0_3030,refute_0_3031]) ).
cnf(refute_0_3033,plain,
complement(composition(top,top)) = zero,
inference(resolve,[$cnf( $equal(complement(composition(top,top)),composition(one,complement(composition(top,top)))) )],[refute_0_3027,refute_0_3032]) ).
cnf(refute_0_3034,plain,
( complement(composition(top,top)) != zero
| composition(top,top) != join(meet(X_61,composition(top,top)),complement(join(X_61,complement(composition(top,top)))))
| composition(top,top) = join(meet(X_61,composition(top,top)),complement(join(X_61,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,top),join(meet(X_61,composition(top,top)),complement(join(X_61,complement(composition(top,top)))))) ),[1,1,0,1],$fot(zero)]]) ).
cnf(refute_0_3035,plain,
( composition(top,top) != join(meet(X_61,composition(top,top)),complement(join(X_61,complement(composition(top,top)))))
| composition(top,top) = join(meet(X_61,composition(top,top)),complement(join(X_61,zero))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),zero) )],[refute_0_3033,refute_0_3034]) ).
cnf(refute_0_3036,plain,
composition(top,top) = join(meet(X_61,composition(top,top)),complement(join(X_61,zero))),
inference(resolve,[$cnf( $equal(composition(top,top),join(meet(X_61,composition(top,top)),complement(join(X_61,complement(composition(top,top)))))) )],[refute_0_3026,refute_0_3035]) ).
cnf(refute_0_3037,plain,
join(X_61,complement(X_61)) = top,
inference(subst,[],[refute_0_140:[bind(X0,$fot(X_61))]]) ).
cnf(refute_0_3038,plain,
join(complement(X_61),X_61) = join(X_61,complement(X_61)),
inference(subst,[],[refute_0_15:[bind(X0,$fot(X_61)),bind(X1,$fot(complement(X_61)))]]) ).
cnf(refute_0_3039,plain,
( join(X_61,complement(X_61)) != top
| join(complement(X_61),X_61) != join(X_61,complement(X_61))
| join(complement(X_61),X_61) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_61),X_61))),bind(Y,$fot(join(X_61,complement(X_61)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3040,plain,
( join(X_61,complement(X_61)) != top
| join(complement(X_61),X_61) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_61),X_61),join(X_61,complement(X_61))) )],[refute_0_3038,refute_0_3039]) ).
cnf(refute_0_3041,plain,
join(complement(X_61),X_61) = top,
inference(resolve,[$cnf( $equal(join(X_61,complement(X_61)),top) )],[refute_0_3037,refute_0_3040]) ).
cnf(refute_0_3042,plain,
X_48 = join(meet(X_48,composition(top,top)),meet(complement(composition(top,top)),X_48)),
inference(subst,[],[refute_0_760:[bind(X_47,$fot(composition(top,top)))]]) ).
cnf(refute_0_3043,plain,
( X_48 != join(meet(X_48,composition(top,top)),meet(complement(composition(top,top)),X_48))
| complement(composition(top,top)) != zero
| X_48 = join(meet(X_48,composition(top,top)),meet(zero,X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(X_48,join(meet(X_48,composition(top,top)),meet(complement(composition(top,top)),X_48))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_3044,plain,
( X_48 != join(meet(X_48,composition(top,top)),meet(complement(composition(top,top)),X_48))
| X_48 = join(meet(X_48,composition(top,top)),meet(zero,X_48)) ),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),zero) )],[refute_0_3033,refute_0_3043]) ).
cnf(refute_0_3045,plain,
X_48 = join(meet(X_48,composition(top,top)),meet(zero,X_48)),
inference(resolve,[$cnf( $equal(X_48,join(meet(X_48,composition(top,top)),meet(complement(composition(top,top)),X_48))) )],[refute_0_3042,refute_0_3044]) ).
cnf(refute_0_3046,plain,
join(zero,meet(X_48,composition(top,top))) = meet(X_48,composition(top,top)),
inference(subst,[],[refute_0_565:[bind(X_39,$fot(meet(X_48,composition(top,top))))]]) ).
cnf(refute_0_3047,plain,
meet(zero,X_48) = zero,
inference(subst,[],[refute_0_301:[bind(X1,$fot(X_48))]]) ).
cnf(refute_0_3048,plain,
join(meet(zero,X_48),meet(X_48,composition(top,top))) = join(meet(zero,X_48),meet(X_48,composition(top,top))),
introduced(tautology,[refl,[$fot(join(meet(zero,X_48),meet(X_48,composition(top,top))))]]) ).
cnf(refute_0_3049,plain,
( join(meet(zero,X_48),meet(X_48,composition(top,top))) != join(meet(zero,X_48),meet(X_48,composition(top,top)))
| meet(zero,X_48) != zero
| join(meet(zero,X_48),meet(X_48,composition(top,top))) = join(zero,meet(X_48,composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,X_48),meet(X_48,composition(top,top))),join(meet(zero,X_48),meet(X_48,composition(top,top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3050,plain,
( meet(zero,X_48) != zero
| join(meet(zero,X_48),meet(X_48,composition(top,top))) = join(zero,meet(X_48,composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_48),meet(X_48,composition(top,top))),join(meet(zero,X_48),meet(X_48,composition(top,top)))) )],[refute_0_3048,refute_0_3049]) ).
cnf(refute_0_3051,plain,
join(meet(zero,X_48),meet(X_48,composition(top,top))) = join(zero,meet(X_48,composition(top,top))),
inference(resolve,[$cnf( $equal(meet(zero,X_48),zero) )],[refute_0_3047,refute_0_3050]) ).
cnf(refute_0_3052,plain,
( join(meet(zero,X_48),meet(X_48,composition(top,top))) != join(zero,meet(X_48,composition(top,top)))
| join(zero,meet(X_48,composition(top,top))) != meet(X_48,composition(top,top))
| join(meet(zero,X_48),meet(X_48,composition(top,top))) = meet(X_48,composition(top,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(zero,X_48),meet(X_48,composition(top,top))))),bind(Y,$fot(join(zero,meet(X_48,composition(top,top))))),bind(Z,$fot(meet(X_48,composition(top,top))))]]) ).
cnf(refute_0_3053,plain,
( join(zero,meet(X_48,composition(top,top))) != meet(X_48,composition(top,top))
| join(meet(zero,X_48),meet(X_48,composition(top,top))) = meet(X_48,composition(top,top)) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_48),meet(X_48,composition(top,top))),join(zero,meet(X_48,composition(top,top)))) )],[refute_0_3051,refute_0_3052]) ).
cnf(refute_0_3054,plain,
join(meet(zero,X_48),meet(X_48,composition(top,top))) = meet(X_48,composition(top,top)),
inference(resolve,[$cnf( $equal(join(zero,meet(X_48,composition(top,top))),meet(X_48,composition(top,top))) )],[refute_0_3046,refute_0_3053]) ).
cnf(refute_0_3055,plain,
join(meet(X_48,composition(top,top)),meet(zero,X_48)) = join(meet(zero,X_48),meet(X_48,composition(top,top))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(meet(zero,X_48))),bind(X1,$fot(meet(X_48,composition(top,top))))]]) ).
cnf(refute_0_3056,plain,
( join(meet(X_48,composition(top,top)),meet(zero,X_48)) != join(meet(zero,X_48),meet(X_48,composition(top,top)))
| join(meet(zero,X_48),meet(X_48,composition(top,top))) != meet(X_48,composition(top,top))
| join(meet(X_48,composition(top,top)),meet(zero,X_48)) = meet(X_48,composition(top,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_48,composition(top,top)),meet(zero,X_48)))),bind(Y,$fot(join(meet(zero,X_48),meet(X_48,composition(top,top))))),bind(Z,$fot(meet(X_48,composition(top,top))))]]) ).
cnf(refute_0_3057,plain,
( join(meet(zero,X_48),meet(X_48,composition(top,top))) != meet(X_48,composition(top,top))
| join(meet(X_48,composition(top,top)),meet(zero,X_48)) = meet(X_48,composition(top,top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_48,composition(top,top)),meet(zero,X_48)),join(meet(zero,X_48),meet(X_48,composition(top,top)))) )],[refute_0_3055,refute_0_3056]) ).
cnf(refute_0_3058,plain,
join(meet(X_48,composition(top,top)),meet(zero,X_48)) = meet(X_48,composition(top,top)),
inference(resolve,[$cnf( $equal(join(meet(zero,X_48),meet(X_48,composition(top,top))),meet(X_48,composition(top,top))) )],[refute_0_3054,refute_0_3057]) ).
cnf(refute_0_3059,plain,
( X_48 != join(meet(X_48,composition(top,top)),meet(zero,X_48))
| join(meet(X_48,composition(top,top)),meet(zero,X_48)) != meet(X_48,composition(top,top))
| X_48 = meet(X_48,composition(top,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_48,meet(X_48,composition(top,top))) ),[0],$fot(join(meet(X_48,composition(top,top)),meet(zero,X_48)))]]) ).
cnf(refute_0_3060,plain,
( X_48 != join(meet(X_48,composition(top,top)),meet(zero,X_48))
| X_48 = meet(X_48,composition(top,top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_48,composition(top,top)),meet(zero,X_48)),meet(X_48,composition(top,top))) )],[refute_0_3058,refute_0_3059]) ).
cnf(refute_0_3061,plain,
X_48 = meet(X_48,composition(top,top)),
inference(resolve,[$cnf( $equal(X_48,join(meet(X_48,composition(top,top)),meet(zero,X_48))) )],[refute_0_3045,refute_0_3060]) ).
cnf(refute_0_3062,plain,
( X_48 != meet(X_48,composition(top,top))
| meet(X_48,composition(top,top)) = X_48 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_48)),bind(Y,$fot(meet(X_48,composition(top,top))))]]) ).
cnf(refute_0_3063,plain,
meet(X_48,composition(top,top)) = X_48,
inference(resolve,[$cnf( $equal(X_48,meet(X_48,composition(top,top))) )],[refute_0_3061,refute_0_3062]) ).
cnf(refute_0_3064,plain,
meet(X_61,composition(top,top)) = X_61,
inference(subst,[],[refute_0_3063:[bind(X_48,$fot(X_61))]]) ).
cnf(refute_0_3065,plain,
join(complement(X_61),meet(X_61,composition(top,top))) = join(complement(X_61),meet(X_61,composition(top,top))),
introduced(tautology,[refl,[$fot(join(complement(X_61),meet(X_61,composition(top,top))))]]) ).
cnf(refute_0_3066,plain,
( join(complement(X_61),meet(X_61,composition(top,top))) != join(complement(X_61),meet(X_61,composition(top,top)))
| meet(X_61,composition(top,top)) != X_61
| join(complement(X_61),meet(X_61,composition(top,top))) = join(complement(X_61),X_61) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_61),meet(X_61,composition(top,top))),join(complement(X_61),meet(X_61,composition(top,top)))) ),[1,1],$fot(X_61)]]) ).
cnf(refute_0_3067,plain,
( meet(X_61,composition(top,top)) != X_61
| join(complement(X_61),meet(X_61,composition(top,top))) = join(complement(X_61),X_61) ),
inference(resolve,[$cnf( $equal(join(complement(X_61),meet(X_61,composition(top,top))),join(complement(X_61),meet(X_61,composition(top,top)))) )],[refute_0_3065,refute_0_3066]) ).
cnf(refute_0_3068,plain,
join(complement(X_61),meet(X_61,composition(top,top))) = join(complement(X_61),X_61),
inference(resolve,[$cnf( $equal(meet(X_61,composition(top,top)),X_61) )],[refute_0_3064,refute_0_3067]) ).
cnf(refute_0_3069,plain,
join(X_61,zero) = X_61,
inference(subst,[],[refute_0_662:[bind(X_48,$fot(X_61))]]) ).
cnf(refute_0_3070,plain,
complement(join(X_61,zero)) = complement(join(X_61,zero)),
introduced(tautology,[refl,[$fot(complement(join(X_61,zero)))]]) ).
cnf(refute_0_3071,plain,
( complement(join(X_61,zero)) != complement(join(X_61,zero))
| join(X_61,zero) != X_61
| complement(join(X_61,zero)) = complement(X_61) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_61,zero)),complement(join(X_61,zero))) ),[1,0],$fot(X_61)]]) ).
cnf(refute_0_3072,plain,
( join(X_61,zero) != X_61
| complement(join(X_61,zero)) = complement(X_61) ),
inference(resolve,[$cnf( $equal(complement(join(X_61,zero)),complement(join(X_61,zero))) )],[refute_0_3070,refute_0_3071]) ).
cnf(refute_0_3073,plain,
complement(join(X_61,zero)) = complement(X_61),
inference(resolve,[$cnf( $equal(join(X_61,zero),X_61) )],[refute_0_3069,refute_0_3072]) ).
cnf(refute_0_3074,plain,
join(complement(join(X_61,zero)),meet(X_61,composition(top,top))) = join(complement(join(X_61,zero)),meet(X_61,composition(top,top))),
introduced(tautology,[refl,[$fot(join(complement(join(X_61,zero)),meet(X_61,composition(top,top))))]]) ).
cnf(refute_0_3075,plain,
( complement(join(X_61,zero)) != complement(X_61)
| join(complement(join(X_61,zero)),meet(X_61,composition(top,top))) != join(complement(join(X_61,zero)),meet(X_61,composition(top,top)))
| join(complement(join(X_61,zero)),meet(X_61,composition(top,top))) = join(complement(X_61),meet(X_61,composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(X_61,zero)),meet(X_61,composition(top,top))),join(complement(join(X_61,zero)),meet(X_61,composition(top,top)))) ),[1,0],$fot(complement(X_61))]]) ).
cnf(refute_0_3076,plain,
( complement(join(X_61,zero)) != complement(X_61)
| join(complement(join(X_61,zero)),meet(X_61,composition(top,top))) = join(complement(X_61),meet(X_61,composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_61,zero)),meet(X_61,composition(top,top))),join(complement(join(X_61,zero)),meet(X_61,composition(top,top)))) )],[refute_0_3074,refute_0_3075]) ).
cnf(refute_0_3077,plain,
join(complement(join(X_61,zero)),meet(X_61,composition(top,top))) = join(complement(X_61),meet(X_61,composition(top,top))),
inference(resolve,[$cnf( $equal(complement(join(X_61,zero)),complement(X_61)) )],[refute_0_3073,refute_0_3076]) ).
cnf(refute_0_3078,plain,
( join(complement(X_61),meet(X_61,composition(top,top))) != join(complement(X_61),X_61)
| join(complement(join(X_61,zero)),meet(X_61,composition(top,top))) != join(complement(X_61),meet(X_61,composition(top,top)))
| join(complement(join(X_61,zero)),meet(X_61,composition(top,top))) = join(complement(X_61),X_61) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(join(X_61,zero)),meet(X_61,composition(top,top))))),bind(Y,$fot(join(complement(X_61),meet(X_61,composition(top,top))))),bind(Z,$fot(join(complement(X_61),X_61)))]]) ).
cnf(refute_0_3079,plain,
( join(complement(X_61),meet(X_61,composition(top,top))) != join(complement(X_61),X_61)
| join(complement(join(X_61,zero)),meet(X_61,composition(top,top))) = join(complement(X_61),X_61) ),
inference(resolve,[$cnf( $equal(join(complement(join(X_61,zero)),meet(X_61,composition(top,top))),join(complement(X_61),meet(X_61,composition(top,top)))) )],[refute_0_3077,refute_0_3078]) ).
cnf(refute_0_3080,plain,
join(complement(join(X_61,zero)),meet(X_61,composition(top,top))) = join(complement(X_61),X_61),
inference(resolve,[$cnf( $equal(join(complement(X_61),meet(X_61,composition(top,top))),join(complement(X_61),X_61)) )],[refute_0_3068,refute_0_3079]) ).
cnf(refute_0_3081,plain,
( join(complement(X_61),X_61) != top
| join(complement(join(X_61,zero)),meet(X_61,composition(top,top))) != join(complement(X_61),X_61)
| join(complement(join(X_61,zero)),meet(X_61,composition(top,top))) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(join(X_61,zero)),meet(X_61,composition(top,top))))),bind(Y,$fot(join(complement(X_61),X_61))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3082,plain,
( join(complement(X_61),X_61) != top
| join(complement(join(X_61,zero)),meet(X_61,composition(top,top))) = top ),
inference(resolve,[$cnf( $equal(join(complement(join(X_61,zero)),meet(X_61,composition(top,top))),join(complement(X_61),X_61)) )],[refute_0_3080,refute_0_3081]) ).
cnf(refute_0_3083,plain,
join(complement(join(X_61,zero)),meet(X_61,composition(top,top))) = top,
inference(resolve,[$cnf( $equal(join(complement(X_61),X_61),top) )],[refute_0_3041,refute_0_3082]) ).
cnf(refute_0_3084,plain,
join(meet(X_61,composition(top,top)),complement(join(X_61,zero))) = join(complement(join(X_61,zero)),meet(X_61,composition(top,top))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(join(X_61,zero)))),bind(X1,$fot(meet(X_61,composition(top,top))))]]) ).
cnf(refute_0_3085,plain,
( join(complement(join(X_61,zero)),meet(X_61,composition(top,top))) != top
| join(meet(X_61,composition(top,top)),complement(join(X_61,zero))) != join(complement(join(X_61,zero)),meet(X_61,composition(top,top)))
| join(meet(X_61,composition(top,top)),complement(join(X_61,zero))) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_61,composition(top,top)),complement(join(X_61,zero))))),bind(Y,$fot(join(complement(join(X_61,zero)),meet(X_61,composition(top,top))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3086,plain,
( join(complement(join(X_61,zero)),meet(X_61,composition(top,top))) != top
| join(meet(X_61,composition(top,top)),complement(join(X_61,zero))) = top ),
inference(resolve,[$cnf( $equal(join(meet(X_61,composition(top,top)),complement(join(X_61,zero))),join(complement(join(X_61,zero)),meet(X_61,composition(top,top)))) )],[refute_0_3084,refute_0_3085]) ).
cnf(refute_0_3087,plain,
join(meet(X_61,composition(top,top)),complement(join(X_61,zero))) = top,
inference(resolve,[$cnf( $equal(join(complement(join(X_61,zero)),meet(X_61,composition(top,top))),top) )],[refute_0_3083,refute_0_3086]) ).
cnf(refute_0_3088,plain,
( composition(top,top) != join(meet(X_61,composition(top,top)),complement(join(X_61,zero)))
| join(meet(X_61,composition(top,top)),complement(join(X_61,zero))) != top
| composition(top,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,top),top) ),[0],$fot(join(meet(X_61,composition(top,top)),complement(join(X_61,zero))))]]) ).
cnf(refute_0_3089,plain,
( composition(top,top) != join(meet(X_61,composition(top,top)),complement(join(X_61,zero)))
| composition(top,top) = top ),
inference(resolve,[$cnf( $equal(join(meet(X_61,composition(top,top)),complement(join(X_61,zero))),top) )],[refute_0_3087,refute_0_3088]) ).
cnf(refute_0_3090,plain,
composition(top,top) = top,
inference(resolve,[$cnf( $equal(composition(top,top),join(meet(X_61,composition(top,top)),complement(join(X_61,zero)))) )],[refute_0_3036,refute_0_3089]) ).
cnf(refute_0_3091,plain,
( composition(top,composition(top,X2)) != composition(composition(top,top),X2)
| composition(top,top) != top
| composition(top,composition(top,X2)) = composition(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(top,X2)),composition(composition(top,top),X2)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3092,plain,
( composition(top,composition(top,X2)) != composition(composition(top,top),X2)
| composition(top,composition(top,X2)) = composition(top,X2) ),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_3090,refute_0_3091]) ).
cnf(refute_0_3093,plain,
composition(top,composition(top,X2)) = composition(top,X2),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X2)),composition(composition(top,top),X2)) )],[refute_0_3025,refute_0_3092]) ).
cnf(refute_0_3094,plain,
( composition(converse(composition(top,composition(top,X2))),complement(composition(top,composition(composition(top,X2),top)))) != zero
| composition(top,composition(top,X2)) != composition(top,X2)
| composition(converse(composition(top,X2)),complement(composition(top,composition(composition(top,X2),top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(top,composition(top,X2))),complement(composition(top,composition(composition(top,X2),top)))),zero) ),[0,0,0],$fot(composition(top,X2))]]) ).
cnf(refute_0_3095,plain,
( composition(converse(composition(top,composition(top,X2))),complement(composition(top,composition(composition(top,X2),top)))) != zero
| composition(converse(composition(top,X2)),complement(composition(top,composition(composition(top,X2),top)))) = zero ),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X2)),composition(top,X2)) )],[refute_0_3093,refute_0_3094]) ).
cnf(refute_0_3096,plain,
composition(converse(composition(top,X2)),complement(composition(top,composition(composition(top,X2),top)))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(top,composition(top,X2))),complement(composition(top,composition(composition(top,X2),top)))),zero) )],[refute_0_3024,refute_0_3095]) ).
cnf(refute_0_3097,plain,
composition(top,composition(top,composition(X2,top))) = composition(top,composition(X2,top)),
inference(subst,[],[refute_0_3093:[bind(X2,$fot(composition(X2,top)))]]) ).
cnf(refute_0_3098,plain,
composition(composition(top,X2),top) = composition(top,composition(X2,top)),
inference(subst,[],[refute_0_2174:[bind(X0,$fot(top)),bind(X1,$fot(X2)),bind(X2,$fot(top))]]) ).
cnf(refute_0_3099,plain,
composition(top,composition(composition(top,X2),top)) = composition(top,composition(composition(top,X2),top)),
introduced(tautology,[refl,[$fot(composition(top,composition(composition(top,X2),top)))]]) ).
cnf(refute_0_3100,plain,
( composition(composition(top,X2),top) != composition(top,composition(X2,top))
| composition(top,composition(composition(top,X2),top)) != composition(top,composition(composition(top,X2),top))
| composition(top,composition(composition(top,X2),top)) = composition(top,composition(top,composition(X2,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(composition(top,X2),top)),composition(top,composition(composition(top,X2),top))) ),[1,1],$fot(composition(top,composition(X2,top)))]]) ).
cnf(refute_0_3101,plain,
( composition(composition(top,X2),top) != composition(top,composition(X2,top))
| composition(top,composition(composition(top,X2),top)) = composition(top,composition(top,composition(X2,top))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(top,X2),top)),composition(top,composition(composition(top,X2),top))) )],[refute_0_3099,refute_0_3100]) ).
cnf(refute_0_3102,plain,
composition(top,composition(composition(top,X2),top)) = composition(top,composition(top,composition(X2,top))),
inference(resolve,[$cnf( $equal(composition(composition(top,X2),top),composition(top,composition(X2,top))) )],[refute_0_3098,refute_0_3101]) ).
cnf(refute_0_3103,plain,
( composition(top,composition(composition(top,X2),top)) != composition(top,composition(top,composition(X2,top)))
| composition(top,composition(top,composition(X2,top))) != composition(top,composition(X2,top))
| composition(top,composition(composition(top,X2),top)) = composition(top,composition(X2,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,composition(composition(top,X2),top)))),bind(Y,$fot(composition(top,composition(top,composition(X2,top))))),bind(Z,$fot(composition(top,composition(X2,top))))]]) ).
cnf(refute_0_3104,plain,
( composition(top,composition(top,composition(X2,top))) != composition(top,composition(X2,top))
| composition(top,composition(composition(top,X2),top)) = composition(top,composition(X2,top)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(top,X2),top)),composition(top,composition(top,composition(X2,top)))) )],[refute_0_3102,refute_0_3103]) ).
cnf(refute_0_3105,plain,
composition(top,composition(composition(top,X2),top)) = composition(top,composition(X2,top)),
inference(resolve,[$cnf( $equal(composition(top,composition(top,composition(X2,top))),composition(top,composition(X2,top))) )],[refute_0_3097,refute_0_3104]) ).
cnf(refute_0_3106,plain,
complement(composition(top,composition(composition(top,X2),top))) = complement(composition(top,composition(composition(top,X2),top))),
introduced(tautology,[refl,[$fot(complement(composition(top,composition(composition(top,X2),top))))]]) ).
cnf(refute_0_3107,plain,
( complement(composition(top,composition(composition(top,X2),top))) != complement(composition(top,composition(composition(top,X2),top)))
| composition(top,composition(composition(top,X2),top)) != composition(top,composition(X2,top))
| complement(composition(top,composition(composition(top,X2),top))) = complement(composition(top,composition(X2,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,composition(composition(top,X2),top))),complement(composition(top,composition(composition(top,X2),top)))) ),[1,0],$fot(composition(top,composition(X2,top)))]]) ).
cnf(refute_0_3108,plain,
( composition(top,composition(composition(top,X2),top)) != composition(top,composition(X2,top))
| complement(composition(top,composition(composition(top,X2),top))) = complement(composition(top,composition(X2,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(composition(top,X2),top))),complement(composition(top,composition(composition(top,X2),top)))) )],[refute_0_3106,refute_0_3107]) ).
cnf(refute_0_3109,plain,
complement(composition(top,composition(composition(top,X2),top))) = complement(composition(top,composition(X2,top))),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(top,X2),top)),composition(top,composition(X2,top))) )],[refute_0_3105,refute_0_3108]) ).
cnf(refute_0_3110,plain,
join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,composition(top,X_114))))) = complement(composition(top,X_114)),
inference(subst,[],[refute_0_40:[bind(X0,$fot(top)),bind(X1,$fot(composition(top,X_114)))]]) ).
cnf(refute_0_3111,plain,
composition(top,composition(top,X_114)) = composition(top,X_114),
inference(subst,[],[refute_0_3093:[bind(X2,$fot(X_114))]]) ).
cnf(refute_0_3112,plain,
( composition(top,composition(top,X_114)) != composition(top,X_114)
| join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,composition(top,X_114))))) != complement(composition(top,X_114))
| join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,X_114)))) = complement(composition(top,X_114)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,composition(top,X_114))))),complement(composition(top,X_114))) ),[0,1,1,0],$fot(composition(top,X_114))]]) ).
cnf(refute_0_3113,plain,
( join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,composition(top,X_114))))) != complement(composition(top,X_114))
| join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,X_114)))) = complement(composition(top,X_114)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X_114)),composition(top,X_114)) )],[refute_0_3111,refute_0_3112]) ).
cnf(refute_0_3114,plain,
join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,X_114)))) = complement(composition(top,X_114)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,composition(top,X_114))))),complement(composition(top,X_114))) )],[refute_0_3110,refute_0_3113]) ).
cnf(refute_0_3115,plain,
join(one,top) = top,
inference(subst,[],[refute_0_1475:[bind(X_62,$fot(one))]]) ).
cnf(refute_0_3116,plain,
converse(join(one,top)) = converse(join(one,top)),
introduced(tautology,[refl,[$fot(converse(join(one,top)))]]) ).
cnf(refute_0_3117,plain,
( converse(join(one,top)) != converse(join(one,top))
| join(one,top) != top
| converse(join(one,top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3118,plain,
( join(one,top) != top
| converse(join(one,top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) )],[refute_0_3116,refute_0_3117]) ).
cnf(refute_0_3119,plain,
converse(join(one,top)) = converse(top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_3115,refute_0_3118]) ).
cnf(refute_0_3120,plain,
( converse(join(one,top)) != converse(top)
| converse(top) != top
| converse(join(one,top)) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,top)))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3121,plain,
( converse(top) != top
| converse(join(one,top)) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(top)) )],[refute_0_3119,refute_0_3120]) ).
cnf(refute_0_3122,plain,
converse(join(one,top)) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_719,refute_0_3121]) ).
cnf(refute_0_3123,plain,
converse(join(converse(one),X_16)) = join(one,converse(X_16)),
inference(subst,[],[refute_0_420:[bind(X0,$fot(one))]]) ).
cnf(refute_0_3124,plain,
( converse(join(converse(one),X_16)) != join(one,converse(X_16))
| converse(one) != one
| converse(join(one,X_16)) = join(one,converse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(one),X_16)),join(one,converse(X_16))) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_3125,plain,
( converse(join(converse(one),X_16)) != join(one,converse(X_16))
| converse(join(one,X_16)) = join(one,converse(X_16)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_66,refute_0_3124]) ).
cnf(refute_0_3126,plain,
converse(join(one,X_16)) = join(one,converse(X_16)),
inference(resolve,[$cnf( $equal(converse(join(converse(one),X_16)),join(one,converse(X_16))) )],[refute_0_3123,refute_0_3125]) ).
cnf(refute_0_3127,plain,
( converse(join(one,X_16)) != join(one,converse(X_16))
| join(one,converse(X_16)) = converse(join(one,X_16)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(join(one,X_16)))),bind(Y,$fot(join(one,converse(X_16))))]]) ).
cnf(refute_0_3128,plain,
join(one,converse(X_16)) = converse(join(one,X_16)),
inference(resolve,[$cnf( $equal(converse(join(one,X_16)),join(one,converse(X_16))) )],[refute_0_3126,refute_0_3127]) ).
cnf(refute_0_3129,plain,
join(one,converse(top)) = converse(join(one,top)),
inference(subst,[],[refute_0_3128:[bind(X_16,$fot(top))]]) ).
cnf(refute_0_3130,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) != converse(join(one,top))
| join(one,converse(top)) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,converse(top)))),bind(Y,$fot(converse(join(one,top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3131,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_0_3129,refute_0_3130]) ).
cnf(refute_0_3132,plain,
join(one,converse(top)) = top,
inference(resolve,[$cnf( $equal(converse(join(one,top)),top) )],[refute_0_3122,refute_0_3131]) ).
cnf(refute_0_3133,plain,
composition(join(one,converse(top)),complement(composition(top,X_114))) = composition(join(one,converse(top)),complement(composition(top,X_114))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(composition(top,X_114))))]]) ).
cnf(refute_0_3134,plain,
( composition(join(one,converse(top)),complement(composition(top,X_114))) != composition(join(one,converse(top)),complement(composition(top,X_114)))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_114))) = composition(top,complement(composition(top,X_114))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_114))),composition(join(one,converse(top)),complement(composition(top,X_114)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3135,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_114))) = composition(top,complement(composition(top,X_114))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_114))),composition(join(one,converse(top)),complement(composition(top,X_114)))) )],[refute_0_3133,refute_0_3134]) ).
cnf(refute_0_3136,plain,
composition(join(one,converse(top)),complement(composition(top,X_114))) = composition(top,complement(composition(top,X_114))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_3132,refute_0_3135]) ).
cnf(refute_0_3137,plain,
( composition(join(one,X1),X2) != join(X2,composition(X1,X2))
| join(X2,composition(X1,X2)) = composition(join(one,X1),X2) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(one,X1),X2))),bind(Y,$fot(join(X2,composition(X1,X2))))]]) ).
cnf(refute_0_3138,plain,
join(X2,composition(X1,X2)) = composition(join(one,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(one,X1),X2),join(X2,composition(X1,X2))) )],[refute_0_1197,refute_0_3137]) ).
cnf(refute_0_3139,plain,
join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,X_114)))) = composition(join(one,converse(top)),complement(composition(top,X_114))),
inference(subst,[],[refute_0_3138:[bind(X1,$fot(converse(top))),bind(X2,$fot(complement(composition(top,X_114))))]]) ).
cnf(refute_0_3140,plain,
( composition(join(one,converse(top)),complement(composition(top,X_114))) != composition(top,complement(composition(top,X_114)))
| join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,X_114)))) != composition(join(one,converse(top)),complement(composition(top,X_114)))
| join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,X_114)))) = composition(top,complement(composition(top,X_114))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,X_114)))))),bind(Y,$fot(composition(join(one,converse(top)),complement(composition(top,X_114))))),bind(Z,$fot(composition(top,complement(composition(top,X_114)))))]]) ).
cnf(refute_0_3141,plain,
( composition(join(one,converse(top)),complement(composition(top,X_114))) != composition(top,complement(composition(top,X_114)))
| join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,X_114)))) = composition(top,complement(composition(top,X_114))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,X_114)))),composition(join(one,converse(top)),complement(composition(top,X_114)))) )],[refute_0_3139,refute_0_3140]) ).
cnf(refute_0_3142,plain,
join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,X_114)))) = composition(top,complement(composition(top,X_114))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_114))),composition(top,complement(composition(top,X_114)))) )],[refute_0_3136,refute_0_3141]) ).
cnf(refute_0_3143,plain,
( join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,X_114)))) != complement(composition(top,X_114))
| join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,X_114)))) != composition(top,complement(composition(top,X_114)))
| composition(top,complement(composition(top,X_114))) = complement(composition(top,X_114)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,X_114)))),complement(composition(top,X_114))) ),[0],$fot(composition(top,complement(composition(top,X_114))))]]) ).
cnf(refute_0_3144,plain,
( join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,X_114)))) != complement(composition(top,X_114))
| composition(top,complement(composition(top,X_114))) = complement(composition(top,X_114)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,X_114)))),composition(top,complement(composition(top,X_114)))) )],[refute_0_3142,refute_0_3143]) ).
cnf(refute_0_3145,plain,
composition(top,complement(composition(top,X_114))) = complement(composition(top,X_114)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_114)),composition(converse(top),complement(composition(top,X_114)))),complement(composition(top,X_114))) )],[refute_0_3114,refute_0_3144]) ).
cnf(refute_0_3146,plain,
composition(top,complement(composition(top,composition(composition(top,X2),top)))) = complement(composition(top,composition(composition(top,X2),top))),
inference(subst,[],[refute_0_3145:[bind(X_114,$fot(composition(composition(top,X2),top)))]]) ).
cnf(refute_0_3147,plain,
( complement(composition(top,composition(composition(top,X2),top))) != complement(composition(top,composition(X2,top)))
| composition(top,complement(composition(top,composition(composition(top,X2),top)))) != complement(composition(top,composition(composition(top,X2),top)))
| composition(top,complement(composition(top,composition(composition(top,X2),top)))) = complement(composition(top,composition(X2,top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,complement(composition(top,composition(composition(top,X2),top)))))),bind(Y,$fot(complement(composition(top,composition(composition(top,X2),top))))),bind(Z,$fot(complement(composition(top,composition(X2,top)))))]]) ).
cnf(refute_0_3148,plain,
( complement(composition(top,composition(composition(top,X2),top))) != complement(composition(top,composition(X2,top)))
| composition(top,complement(composition(top,composition(composition(top,X2),top)))) = complement(composition(top,composition(X2,top))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,composition(composition(top,X2),top)))),complement(composition(top,composition(composition(top,X2),top)))) )],[refute_0_3146,refute_0_3147]) ).
cnf(refute_0_3149,plain,
composition(top,complement(composition(top,composition(composition(top,X2),top)))) = complement(composition(top,composition(X2,top))),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(composition(top,X2),top))),complement(composition(top,composition(X2,top)))) )],[refute_0_3109,refute_0_3148]) ).
cnf(refute_0_3150,plain,
composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top))))) = composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top))))),
introduced(tautology,[refl,[$fot(composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top))))))]]) ).
cnf(refute_0_3151,plain,
( composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top))))) != composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top)))))
| composition(top,complement(composition(top,composition(composition(top,X2),top)))) != complement(composition(top,composition(X2,top)))
| composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top))))) = composition(converse(X2),complement(composition(top,composition(X2,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top))))),composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top)))))) ),[1,1],$fot(complement(composition(top,composition(X2,top))))]]) ).
cnf(refute_0_3152,plain,
( composition(top,complement(composition(top,composition(composition(top,X2),top)))) != complement(composition(top,composition(X2,top)))
| composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top))))) = composition(converse(X2),complement(composition(top,composition(X2,top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top))))),composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top)))))) )],[refute_0_3150,refute_0_3151]) ).
cnf(refute_0_3153,plain,
composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top))))) = composition(converse(X2),complement(composition(top,composition(X2,top)))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,composition(composition(top,X2),top)))),complement(composition(top,composition(X2,top)))) )],[refute_0_3149,refute_0_3152]) ).
cnf(refute_0_3154,plain,
composition(converse(X_144),composition(top,X2)) = composition(composition(converse(X_144),top),X2),
inference(subst,[],[refute_0_2172:[bind(X0,$fot(converse(X_144))),bind(X1,$fot(top))]]) ).
cnf(refute_0_3155,plain,
converse(composition(top,X_144)) = composition(converse(X_144),top),
inference(subst,[],[refute_0_1850:[bind(X_5,$fot(X_144))]]) ).
cnf(refute_0_3156,plain,
( converse(composition(top,X_144)) != composition(converse(X_144),top)
| composition(converse(X_144),top) = converse(composition(top,X_144)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(converse(composition(top,X_144)))),bind(Y,$fot(composition(converse(X_144),top)))]]) ).
cnf(refute_0_3157,plain,
composition(converse(X_144),top) = converse(composition(top,X_144)),
inference(resolve,[$cnf( $equal(converse(composition(top,X_144)),composition(converse(X_144),top)) )],[refute_0_3155,refute_0_3156]) ).
cnf(refute_0_3158,plain,
( composition(converse(X_144),composition(top,X2)) != composition(composition(converse(X_144),top),X2)
| composition(converse(X_144),top) != converse(composition(top,X_144))
| composition(converse(X_144),composition(top,X2)) = composition(converse(composition(top,X_144)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_144),composition(top,X2)),composition(composition(converse(X_144),top),X2)) ),[1,0],$fot(converse(composition(top,X_144)))]]) ).
cnf(refute_0_3159,plain,
( composition(converse(X_144),composition(top,X2)) != composition(composition(converse(X_144),top),X2)
| composition(converse(X_144),composition(top,X2)) = composition(converse(composition(top,X_144)),X2) ),
inference(resolve,[$cnf( $equal(composition(converse(X_144),top),converse(composition(top,X_144))) )],[refute_0_3157,refute_0_3158]) ).
cnf(refute_0_3160,plain,
composition(converse(X_144),composition(top,X2)) = composition(converse(composition(top,X_144)),X2),
inference(resolve,[$cnf( $equal(composition(converse(X_144),composition(top,X2)),composition(composition(converse(X_144),top),X2)) )],[refute_0_3154,refute_0_3159]) ).
cnf(refute_0_3161,plain,
( composition(converse(X_144),composition(top,X2)) != composition(converse(composition(top,X_144)),X2)
| composition(converse(composition(top,X_144)),X2) = composition(converse(X_144),composition(top,X2)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(converse(X_144),composition(top,X2)))),bind(Y,$fot(composition(converse(composition(top,X_144)),X2)))]]) ).
cnf(refute_0_3162,plain,
composition(converse(composition(top,X_144)),X2) = composition(converse(X_144),composition(top,X2)),
inference(resolve,[$cnf( $equal(composition(converse(X_144),composition(top,X2)),composition(converse(composition(top,X_144)),X2)) )],[refute_0_3160,refute_0_3161]) ).
cnf(refute_0_3163,plain,
composition(converse(composition(top,X2)),complement(composition(top,composition(composition(top,X2),top)))) = composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top))))),
inference(subst,[],[refute_0_3162:[bind(X2,$fot(complement(composition(top,composition(composition(top,X2),top))))),bind(X_144,$fot(X2))]]) ).
cnf(refute_0_3164,plain,
( composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top))))) != composition(converse(X2),complement(composition(top,composition(X2,top))))
| composition(converse(composition(top,X2)),complement(composition(top,composition(composition(top,X2),top)))) != composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top)))))
| composition(converse(composition(top,X2)),complement(composition(top,composition(composition(top,X2),top)))) = composition(converse(X2),complement(composition(top,composition(X2,top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(top,X2)),complement(composition(top,composition(composition(top,X2),top)))))),bind(Y,$fot(composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top))))))),bind(Z,$fot(composition(converse(X2),complement(composition(top,composition(X2,top))))))]]) ).
cnf(refute_0_3165,plain,
( composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top))))) != composition(converse(X2),complement(composition(top,composition(X2,top))))
| composition(converse(composition(top,X2)),complement(composition(top,composition(composition(top,X2),top)))) = composition(converse(X2),complement(composition(top,composition(X2,top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,X2)),complement(composition(top,composition(composition(top,X2),top)))),composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top)))))) )],[refute_0_3163,refute_0_3164]) ).
cnf(refute_0_3166,plain,
composition(converse(composition(top,X2)),complement(composition(top,composition(composition(top,X2),top)))) = composition(converse(X2),complement(composition(top,composition(X2,top)))),
inference(resolve,[$cnf( $equal(composition(converse(X2),composition(top,complement(composition(top,composition(composition(top,X2),top))))),composition(converse(X2),complement(composition(top,composition(X2,top))))) )],[refute_0_3153,refute_0_3165]) ).
cnf(refute_0_3167,plain,
( composition(converse(composition(top,X2)),complement(composition(top,composition(composition(top,X2),top)))) != composition(converse(X2),complement(composition(top,composition(X2,top))))
| composition(converse(composition(top,X2)),complement(composition(top,composition(composition(top,X2),top)))) != zero
| composition(converse(X2),complement(composition(top,composition(X2,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(top,X2)),complement(composition(top,composition(composition(top,X2),top)))),zero) ),[0],$fot(composition(converse(X2),complement(composition(top,composition(X2,top)))))]]) ).
cnf(refute_0_3168,plain,
( composition(converse(composition(top,X2)),complement(composition(top,composition(composition(top,X2),top)))) != zero
| composition(converse(X2),complement(composition(top,composition(X2,top)))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,X2)),complement(composition(top,composition(composition(top,X2),top)))),composition(converse(X2),complement(composition(top,composition(X2,top))))) )],[refute_0_3166,refute_0_3167]) ).
cnf(refute_0_3169,plain,
composition(converse(X2),complement(composition(top,composition(X2,top)))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(top,X2)),complement(composition(top,composition(composition(top,X2),top)))),zero) )],[refute_0_3096,refute_0_3168]) ).
cnf(refute_0_3170,plain,
composition(converse(X_231),complement(composition(top,composition(X_231,top)))) = zero,
inference(subst,[],[refute_0_3169:[bind(X2,$fot(X_231))]]) ).
cnf(refute_0_3171,plain,
( composition(converse(X_231),complement(composition(top,composition(X_231,top)))) != zero
| converse(composition(converse(X_231),complement(composition(top,composition(X_231,top))))) != composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231)))
| converse(zero) = composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_231),complement(composition(top,composition(X_231,top))))),composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231)))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_3172,plain,
( converse(composition(converse(X_231),complement(composition(top,composition(X_231,top))))) != composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231)))
| converse(zero) = composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_231),complement(composition(top,composition(X_231,top)))),zero) )],[refute_0_3170,refute_0_3171]) ).
cnf(refute_0_3173,plain,
converse(zero) = composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_231),complement(composition(top,composition(X_231,top))))),composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231)))) )],[refute_0_3016,refute_0_3172]) ).
cnf(refute_0_3174,plain,
( converse(zero) != composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231)))
| converse(zero) != zero
| zero = composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_3175,plain,
( converse(zero) != composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231)))
| zero = composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_605,refute_0_3174]) ).
cnf(refute_0_3176,plain,
converse(complement(composition(top,composition(X_231,top)))) = complement(converse(composition(top,composition(X_231,top)))),
inference(subst,[],[refute_0_1407:[bind(X_204,$fot(composition(top,composition(X_231,top))))]]) ).
cnf(refute_0_3177,plain,
composition(converse(complement(composition(top,composition(X_231,top)))),X_231) = composition(converse(complement(composition(top,composition(X_231,top)))),X_231),
introduced(tautology,[refl,[$fot(composition(converse(complement(composition(top,composition(X_231,top)))),X_231))]]) ).
cnf(refute_0_3178,plain,
( composition(converse(complement(composition(top,composition(X_231,top)))),X_231) != composition(converse(complement(composition(top,composition(X_231,top)))),X_231)
| converse(complement(composition(top,composition(X_231,top)))) != complement(converse(composition(top,composition(X_231,top))))
| composition(converse(complement(composition(top,composition(X_231,top)))),X_231) = composition(complement(converse(composition(top,composition(X_231,top)))),X_231) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(top,composition(X_231,top)))),X_231),composition(converse(complement(composition(top,composition(X_231,top)))),X_231)) ),[1,0],$fot(complement(converse(composition(top,composition(X_231,top)))))]]) ).
cnf(refute_0_3179,plain,
( converse(complement(composition(top,composition(X_231,top)))) != complement(converse(composition(top,composition(X_231,top))))
| composition(converse(complement(composition(top,composition(X_231,top)))),X_231) = composition(complement(converse(composition(top,composition(X_231,top)))),X_231) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,composition(X_231,top)))),X_231),composition(converse(complement(composition(top,composition(X_231,top)))),X_231)) )],[refute_0_3177,refute_0_3178]) ).
cnf(refute_0_3180,plain,
composition(converse(complement(composition(top,composition(X_231,top)))),X_231) = composition(complement(converse(composition(top,composition(X_231,top)))),X_231),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,composition(X_231,top)))),complement(converse(composition(top,composition(X_231,top))))) )],[refute_0_3176,refute_0_3179]) ).
cnf(refute_0_3181,plain,
converse(composition(converse(X_231),complement(composition(top,composition(X_231,top))))) = composition(converse(complement(composition(top,composition(X_231,top)))),X_231),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_231)),bind(X_5,$fot(complement(composition(top,composition(X_231,top)))))]]) ).
cnf(refute_0_3182,plain,
composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))) = converse(composition(converse(X_231),complement(composition(top,composition(X_231,top))))),
inference(subst,[],[refute_0_2149:[bind(X0,$fot(converse(X_231))),bind(X1,$fot(complement(composition(top,composition(X_231,top)))))]]) ).
cnf(refute_0_3183,plain,
( composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))) != converse(composition(converse(X_231),complement(composition(top,composition(X_231,top)))))
| converse(composition(converse(X_231),complement(composition(top,composition(X_231,top))))) != composition(converse(complement(composition(top,composition(X_231,top)))),X_231)
| composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))) = composition(converse(complement(composition(top,composition(X_231,top)))),X_231) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))))),bind(Y,$fot(converse(composition(converse(X_231),complement(composition(top,composition(X_231,top))))))),bind(Z,$fot(composition(converse(complement(composition(top,composition(X_231,top)))),X_231)))]]) ).
cnf(refute_0_3184,plain,
( converse(composition(converse(X_231),complement(composition(top,composition(X_231,top))))) != composition(converse(complement(composition(top,composition(X_231,top)))),X_231)
| composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))) = composition(converse(complement(composition(top,composition(X_231,top)))),X_231) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))),converse(composition(converse(X_231),complement(composition(top,composition(X_231,top)))))) )],[refute_0_3182,refute_0_3183]) ).
cnf(refute_0_3185,plain,
composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))) = composition(converse(complement(composition(top,composition(X_231,top)))),X_231),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_231),complement(composition(top,composition(X_231,top))))),composition(converse(complement(composition(top,composition(X_231,top)))),X_231)) )],[refute_0_3181,refute_0_3184]) ).
cnf(refute_0_3186,plain,
( composition(converse(complement(composition(top,composition(X_231,top)))),X_231) != composition(complement(converse(composition(top,composition(X_231,top)))),X_231)
| composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))) != composition(converse(complement(composition(top,composition(X_231,top)))),X_231)
| composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))) = composition(complement(converse(composition(top,composition(X_231,top)))),X_231) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))))),bind(Y,$fot(composition(converse(complement(composition(top,composition(X_231,top)))),X_231))),bind(Z,$fot(composition(complement(converse(composition(top,composition(X_231,top)))),X_231)))]]) ).
cnf(refute_0_3187,plain,
( composition(converse(complement(composition(top,composition(X_231,top)))),X_231) != composition(complement(converse(composition(top,composition(X_231,top)))),X_231)
| composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))) = composition(complement(converse(composition(top,composition(X_231,top)))),X_231) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))),composition(converse(complement(composition(top,composition(X_231,top)))),X_231)) )],[refute_0_3185,refute_0_3186]) ).
cnf(refute_0_3188,plain,
composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))) = composition(complement(converse(composition(top,composition(X_231,top)))),X_231),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,composition(X_231,top)))),X_231),composition(complement(converse(composition(top,composition(X_231,top)))),X_231)) )],[refute_0_3180,refute_0_3187]) ).
cnf(refute_0_3189,plain,
( composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))) != composition(complement(converse(composition(top,composition(X_231,top)))),X_231)
| zero != composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231)))
| zero = composition(complement(converse(composition(top,composition(X_231,top)))),X_231) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231)))) ),[1],$fot(composition(complement(converse(composition(top,composition(X_231,top)))),X_231))]]) ).
cnf(refute_0_3190,plain,
( zero != composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231)))
| zero = composition(complement(converse(composition(top,composition(X_231,top)))),X_231) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231))),composition(complement(converse(composition(top,composition(X_231,top)))),X_231)) )],[refute_0_3188,refute_0_3189]) ).
cnf(refute_0_3191,plain,
( converse(zero) != composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231)))
| zero = composition(complement(converse(composition(top,composition(X_231,top)))),X_231) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231)))) )],[refute_0_3175,refute_0_3190]) ).
cnf(refute_0_3192,plain,
zero = composition(complement(converse(composition(top,composition(X_231,top)))),X_231),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(composition(top,composition(X_231,top)))),converse(converse(X_231)))) )],[refute_0_3173,refute_0_3191]) ).
cnf(refute_0_3193,plain,
zero = composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),composition(X_484,X_482)),
inference(subst,[],[refute_0_3192:[bind(X_231,$fot(composition(X_484,X_482)))]]) ).
cnf(refute_0_3194,plain,
( zero != composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),composition(X_484,X_482))
| composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),composition(X_484,X_482)) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),composition(X_484,X_482))))]]) ).
cnf(refute_0_3195,plain,
composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),composition(X_484,X_482)) = zero,
inference(resolve,[$cnf( $equal(zero,composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),composition(X_484,X_482))) )],[refute_0_3193,refute_0_3194]) ).
cnf(refute_0_3196,plain,
( composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),composition(X_484,X_482)) != zero
| join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),composition(X_484,X_482))))) != complement(X_482)
| join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))) = complement(X_482) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),composition(X_484,X_482))))),complement(X_482)) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_3197,plain,
( join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),composition(X_484,X_482))))) != complement(X_482)
| join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))) = complement(X_482) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),composition(X_484,X_482)),zero) )],[refute_0_3195,refute_0_3196]) ).
cnf(refute_0_3198,plain,
join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))) = complement(X_482),
inference(resolve,[$cnf( $equal(join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),composition(X_484,X_482))))),complement(X_482)) )],[refute_0_3015,refute_0_3197]) ).
cnf(refute_0_3199,plain,
composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),top) = composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top)),
inference(subst,[],[refute_0_2174:[bind(X0,$fot(converse(X_484))),bind(X1,$fot(complement(composition(top,composition(X_484,composition(X_482,top)))))),bind(X2,$fot(top))]]) ).
cnf(refute_0_3200,plain,
composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero)) = composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero)))]]) ).
cnf(refute_0_3201,plain,
( complement(zero) != top
| composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero)) != composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero))
| composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero)) = composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero)),composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3202,plain,
( complement(zero) != top
| composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero)) = composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),top) ),
inference(resolve,[$cnf( $equal(composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero)),composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero))) )],[refute_0_3200,refute_0_3201]) ).
cnf(refute_0_3203,plain,
composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero)) = composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_252,refute_0_3202]) ).
cnf(refute_0_3204,plain,
composition(composition(X_484,X_482),top) = composition(X_484,composition(X_482,top)),
inference(subst,[],[refute_0_2174:[bind(X0,$fot(X_484)),bind(X1,$fot(X_482)),bind(X2,$fot(top))]]) ).
cnf(refute_0_3205,plain,
composition(top,composition(composition(X_484,X_482),top)) = composition(top,composition(composition(X_484,X_482),top)),
introduced(tautology,[refl,[$fot(composition(top,composition(composition(X_484,X_482),top)))]]) ).
cnf(refute_0_3206,plain,
( composition(composition(X_484,X_482),top) != composition(X_484,composition(X_482,top))
| composition(top,composition(composition(X_484,X_482),top)) != composition(top,composition(composition(X_484,X_482),top))
| composition(top,composition(composition(X_484,X_482),top)) = composition(top,composition(X_484,composition(X_482,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(composition(X_484,X_482),top)),composition(top,composition(composition(X_484,X_482),top))) ),[1,1],$fot(composition(X_484,composition(X_482,top)))]]) ).
cnf(refute_0_3207,plain,
( composition(composition(X_484,X_482),top) != composition(X_484,composition(X_482,top))
| composition(top,composition(composition(X_484,X_482),top)) = composition(top,composition(X_484,composition(X_482,top))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(X_484,X_482),top)),composition(top,composition(composition(X_484,X_482),top))) )],[refute_0_3205,refute_0_3206]) ).
cnf(refute_0_3208,plain,
composition(top,composition(composition(X_484,X_482),top)) = composition(top,composition(X_484,composition(X_482,top))),
inference(resolve,[$cnf( $equal(composition(composition(X_484,X_482),top),composition(X_484,composition(X_482,top))) )],[refute_0_3204,refute_0_3207]) ).
cnf(refute_0_3209,plain,
complement(composition(top,composition(composition(X_484,X_482),top))) = complement(composition(top,composition(composition(X_484,X_482),top))),
introduced(tautology,[refl,[$fot(complement(composition(top,composition(composition(X_484,X_482),top))))]]) ).
cnf(refute_0_3210,plain,
( complement(composition(top,composition(composition(X_484,X_482),top))) != complement(composition(top,composition(composition(X_484,X_482),top)))
| composition(top,composition(composition(X_484,X_482),top)) != composition(top,composition(X_484,composition(X_482,top)))
| complement(composition(top,composition(composition(X_484,X_482),top))) = complement(composition(top,composition(X_484,composition(X_482,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,composition(composition(X_484,X_482),top))),complement(composition(top,composition(composition(X_484,X_482),top)))) ),[1,0],$fot(composition(top,composition(X_484,composition(X_482,top))))]]) ).
cnf(refute_0_3211,plain,
( composition(top,composition(composition(X_484,X_482),top)) != composition(top,composition(X_484,composition(X_482,top)))
| complement(composition(top,composition(composition(X_484,X_482),top))) = complement(composition(top,composition(X_484,composition(X_482,top)))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(composition(X_484,X_482),top))),complement(composition(top,composition(composition(X_484,X_482),top)))) )],[refute_0_3209,refute_0_3210]) ).
cnf(refute_0_3212,plain,
complement(composition(top,composition(composition(X_484,X_482),top))) = complement(composition(top,composition(X_484,composition(X_482,top)))),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(X_484,X_482),top)),composition(top,composition(X_484,composition(X_482,top)))) )],[refute_0_3208,refute_0_3211]) ).
cnf(refute_0_3213,plain,
composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top)))) = composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top)))),
introduced(tautology,[refl,[$fot(composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top)))))]]) ).
cnf(refute_0_3214,plain,
( complement(composition(top,composition(composition(X_484,X_482),top))) != complement(composition(top,composition(X_484,composition(X_482,top))))
| composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top)))) != composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top))))
| composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top)))) = composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top)))),composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top))))) ),[1,1],$fot(complement(composition(top,composition(X_484,composition(X_482,top)))))]]) ).
cnf(refute_0_3215,plain,
( complement(composition(top,composition(composition(X_484,X_482),top))) != complement(composition(top,composition(X_484,composition(X_482,top))))
| composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top)))) = composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top)))),composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top))))) )],[refute_0_3213,refute_0_3214]) ).
cnf(refute_0_3216,plain,
composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top)))) = composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),
inference(resolve,[$cnf( $equal(complement(composition(top,composition(composition(X_484,X_482),top))),complement(composition(top,composition(X_484,composition(X_482,top))))) )],[refute_0_3212,refute_0_3215]) ).
cnf(refute_0_3217,plain,
converse(composition(converse(complement(X_205)),X_5)) = composition(converse(X_5),complement(X_205)),
inference(subst,[],[refute_0_49:[bind(X0,$fot(complement(X_205)))]]) ).
cnf(refute_0_3218,plain,
( converse(complement(X_205)) != complement(converse(X_205))
| converse(composition(converse(complement(X_205)),X_5)) != composition(converse(X_5),complement(X_205))
| converse(composition(complement(converse(X_205)),X_5)) = composition(converse(X_5),complement(X_205)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(complement(X_205)),X_5)),composition(converse(X_5),complement(X_205))) ),[0,0,0],$fot(complement(converse(X_205)))]]) ).
cnf(refute_0_3219,plain,
( converse(composition(converse(complement(X_205)),X_5)) != composition(converse(X_5),complement(X_205))
| converse(composition(complement(converse(X_205)),X_5)) = composition(converse(X_5),complement(X_205)) ),
inference(resolve,[$cnf( $equal(converse(complement(X_205)),complement(converse(X_205))) )],[refute_0_1408,refute_0_3218]) ).
cnf(refute_0_3220,plain,
converse(composition(complement(converse(X_205)),X_5)) = composition(converse(X_5),complement(X_205)),
inference(resolve,[$cnf( $equal(converse(composition(converse(complement(X_205)),X_5)),composition(converse(X_5),complement(X_205))) )],[refute_0_3217,refute_0_3219]) ).
cnf(refute_0_3221,plain,
converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)) = composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top)))),
inference(subst,[],[refute_0_3220:[bind(X_205,$fot(composition(top,composition(composition(X_484,X_482),top)))),bind(X_5,$fot(X_484))]]) ).
cnf(refute_0_3222,plain,
( composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top)))) != composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top)))))
| converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)) != composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top))))
| converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)) = composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)))),bind(Y,$fot(composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top)))))),bind(Z,$fot(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top)))))))]]) ).
cnf(refute_0_3223,plain,
( composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top)))) != composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top)))))
| converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)) = composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top))))) )],[refute_0_3221,refute_0_3222]) ).
cnf(refute_0_3224,plain,
converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)) = composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),
inference(resolve,[$cnf( $equal(composition(converse(X_484),complement(composition(top,composition(composition(X_484,X_482),top)))),composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top)))))) )],[refute_0_3216,refute_0_3223]) ).
cnf(refute_0_3225,plain,
composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)) = composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)))]]) ).
cnf(refute_0_3226,plain,
( composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)) != composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))
| converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)) != composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top)))))
| composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)) = composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))) ),[1,0],$fot(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))))]]) ).
cnf(refute_0_3227,plain,
( converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)) != composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top)))))
| composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)) = composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))) )],[refute_0_3225,refute_0_3226]) ).
cnf(refute_0_3228,plain,
composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)) = composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero)),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top)))))) )],[refute_0_3224,refute_0_3227]) ).
cnf(refute_0_3229,plain,
( composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero)) != composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),top)
| composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)) != composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero))
| composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)) = composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)))),bind(Y,$fot(composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero)))),bind(Z,$fot(composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),top)))]]) ).
cnf(refute_0_3230,plain,
( composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero)) != composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),top)
| composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)) = composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),top) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)),composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero))) )],[refute_0_3228,refute_0_3229]) ).
cnf(refute_0_3231,plain,
composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)) = composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),top),
inference(resolve,[$cnf( $equal(composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),complement(zero)),composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),top)) )],[refute_0_3203,refute_0_3230]) ).
cnf(refute_0_3232,plain,
( composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),top) != composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top))
| composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)) != composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),top)
| composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)) = composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)))),bind(Y,$fot(composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),top))),bind(Z,$fot(composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top))))]]) ).
cnf(refute_0_3233,plain,
( composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),top) != composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top))
| composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)) = composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)),composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),top)) )],[refute_0_3231,refute_0_3232]) ).
cnf(refute_0_3234,plain,
composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)) = composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top)),
inference(resolve,[$cnf( $equal(composition(composition(converse(X_484),complement(composition(top,composition(X_484,composition(X_482,top))))),top),composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top))) )],[refute_0_3199,refute_0_3233]) ).
cnf(refute_0_3235,plain,
join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))) = join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))))]]) ).
cnf(refute_0_3236,plain,
( composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)) != composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top))
| join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))) != join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)))
| join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))) = join(complement(X_482),composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))),join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)))) ),[1,1],$fot(composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top)))]]) ).
cnf(refute_0_3237,plain,
( composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)) != composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top))
| join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))) = join(complement(X_482),composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))),join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)))) )],[refute_0_3235,refute_0_3236]) ).
cnf(refute_0_3238,plain,
join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))) = join(complement(X_482),composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top))),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero)),composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top))) )],[refute_0_3234,refute_0_3237]) ).
cnf(refute_0_3239,plain,
( join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))) != complement(X_482)
| join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))) != join(complement(X_482),composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top)))
| join(complement(X_482),composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top))) = complement(X_482) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))),complement(X_482)) ),[0],$fot(join(complement(X_482),composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top))))]]) ).
cnf(refute_0_3240,plain,
( join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))) != complement(X_482)
| join(complement(X_482),composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top))) = complement(X_482) ),
inference(resolve,[$cnf( $equal(join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))),join(complement(X_482),composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top)))) )],[refute_0_3238,refute_0_3239]) ).
cnf(refute_0_3241,plain,
join(complement(X_482),composition(converse(X_484),composition(complement(composition(top,composition(X_484,composition(X_482,top)))),top))) = complement(X_482),
inference(resolve,[$cnf( $equal(join(complement(X_482),composition(converse(composition(complement(converse(composition(top,composition(composition(X_484,X_482),top)))),X_484)),complement(zero))),complement(X_482)) )],[refute_0_3198,refute_0_3240]) ).
cnf(refute_0_3242,plain,
join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,composition(complement(converse(composition(join(X_1119,composition(X_482,top)),top))),composition(X_482,top)))),top))) = complement(X_482),
inference(subst,[],[refute_0_3241:[bind(X_484,$fot(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))))]]) ).
cnf(refute_0_3243,plain,
converse(composition(converse(X0),complement(composition(join(X_438,converse(converse(X0))),top)))) = composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0),
inference(subst,[],[refute_0_49:[bind(X_5,$fot(complement(composition(join(X_438,converse(converse(X0))),top))))]]) ).
cnf(refute_0_3244,plain,
composition(converse(join(converse(X0),X_16)),complement(composition(join(converse(X0),X_16),top))) = zero,
inference(subst,[],[refute_0_2197:[bind(X_33,$fot(join(converse(X0),X_16)))]]) ).
cnf(refute_0_3245,plain,
( composition(converse(join(converse(X0),X_16)),complement(composition(join(converse(X0),X_16),top))) != zero
| converse(join(converse(X0),X_16)) != join(X0,converse(X_16))
| composition(join(X0,converse(X_16)),complement(composition(join(converse(X0),X_16),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(converse(X0),X_16)),complement(composition(join(converse(X0),X_16),top))),zero) ),[0,0],$fot(join(X0,converse(X_16)))]]) ).
cnf(refute_0_3246,plain,
( composition(converse(join(converse(X0),X_16)),complement(composition(join(converse(X0),X_16),top))) != zero
| composition(join(X0,converse(X_16)),complement(composition(join(converse(X0),X_16),top))) = zero ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_16)),join(X0,converse(X_16))) )],[refute_0_420,refute_0_3245]) ).
cnf(refute_0_3247,plain,
composition(join(X0,converse(X_16)),complement(composition(join(converse(X0),X_16),top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(join(converse(X0),X_16)),complement(composition(join(converse(X0),X_16),top))),zero) )],[refute_0_3244,refute_0_3246]) ).
cnf(refute_0_3248,plain,
composition(join(X_342,converse(join(X_81,converse(X_342)))),complement(composition(join(converse(X_342),join(X_81,converse(X_342))),top))) = zero,
inference(subst,[],[refute_0_3247:[bind(X0,$fot(X_342)),bind(X_16,$fot(join(X_81,converse(X_342))))]]) ).
cnf(refute_0_3249,plain,
join(X_81,converse(X_342)) = join(converse(X_342),join(X_81,converse(X_342))),
inference(subst,[],[refute_0_1068:[bind(X_82,$fot(converse(X_342)))]]) ).
cnf(refute_0_3250,plain,
( join(X_81,converse(X_342)) != join(converse(X_342),join(X_81,converse(X_342)))
| join(converse(X_342),join(X_81,converse(X_342))) = join(X_81,converse(X_342)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_81,converse(X_342)))),bind(Y,$fot(join(converse(X_342),join(X_81,converse(X_342)))))]]) ).
cnf(refute_0_3251,plain,
join(converse(X_342),join(X_81,converse(X_342))) = join(X_81,converse(X_342)),
inference(resolve,[$cnf( $equal(join(X_81,converse(X_342)),join(converse(X_342),join(X_81,converse(X_342)))) )],[refute_0_3249,refute_0_3250]) ).
cnf(refute_0_3252,plain,
( composition(join(X_342,converse(join(X_81,converse(X_342)))),complement(composition(join(converse(X_342),join(X_81,converse(X_342))),top))) != zero
| join(converse(X_342),join(X_81,converse(X_342))) != join(X_81,converse(X_342))
| composition(join(X_342,converse(join(X_81,converse(X_342)))),complement(composition(join(X_81,converse(X_342)),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_342,converse(join(X_81,converse(X_342)))),complement(composition(join(converse(X_342),join(X_81,converse(X_342))),top))),zero) ),[0,1,0,0],$fot(join(X_81,converse(X_342)))]]) ).
cnf(refute_0_3253,plain,
( composition(join(X_342,converse(join(X_81,converse(X_342)))),complement(composition(join(converse(X_342),join(X_81,converse(X_342))),top))) != zero
| composition(join(X_342,converse(join(X_81,converse(X_342)))),complement(composition(join(X_81,converse(X_342)),top))) = zero ),
inference(resolve,[$cnf( $equal(join(converse(X_342),join(X_81,converse(X_342))),join(X_81,converse(X_342))) )],[refute_0_3251,refute_0_3252]) ).
cnf(refute_0_3254,plain,
composition(join(X_342,converse(join(X_81,converse(X_342)))),complement(composition(join(X_81,converse(X_342)),top))) = zero,
inference(resolve,[$cnf( $equal(composition(join(X_342,converse(join(X_81,converse(X_342)))),complement(composition(join(converse(X_342),join(X_81,converse(X_342))),top))),zero) )],[refute_0_3248,refute_0_3253]) ).
cnf(refute_0_3255,plain,
composition(join(X0,converse(X_85)),complement(composition(X_85,top))) = join(composition(X0,complement(composition(X_85,top))),composition(converse(X_85),complement(composition(X_85,top)))),
inference(subst,[],[refute_0_1179:[bind(X1,$fot(converse(X_85))),bind(X2,$fot(complement(composition(X_85,top))))]]) ).
cnf(refute_0_3256,plain,
( composition(converse(X_85),complement(composition(X_85,top))) != zero
| composition(join(X0,converse(X_85)),complement(composition(X_85,top))) != join(composition(X0,complement(composition(X_85,top))),composition(converse(X_85),complement(composition(X_85,top))))
| composition(join(X0,converse(X_85)),complement(composition(X_85,top))) = join(composition(X0,complement(composition(X_85,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,converse(X_85)),complement(composition(X_85,top))),join(composition(X0,complement(composition(X_85,top))),composition(converse(X_85),complement(composition(X_85,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_3257,plain,
( composition(join(X0,converse(X_85)),complement(composition(X_85,top))) != join(composition(X0,complement(composition(X_85,top))),composition(converse(X_85),complement(composition(X_85,top))))
| composition(join(X0,converse(X_85)),complement(composition(X_85,top))) = join(composition(X0,complement(composition(X_85,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(converse(X_85),complement(composition(X_85,top))),zero) )],[refute_0_2278,refute_0_3256]) ).
cnf(refute_0_3258,plain,
composition(join(X0,converse(X_85)),complement(composition(X_85,top))) = join(composition(X0,complement(composition(X_85,top))),zero),
inference(resolve,[$cnf( $equal(composition(join(X0,converse(X_85)),complement(composition(X_85,top))),join(composition(X0,complement(composition(X_85,top))),composition(converse(X_85),complement(composition(X_85,top))))) )],[refute_0_3255,refute_0_3257]) ).
cnf(refute_0_3259,plain,
join(composition(X0,complement(composition(X_85,top))),zero) = composition(X0,complement(composition(X_85,top))),
inference(subst,[],[refute_0_662:[bind(X_48,$fot(composition(X0,complement(composition(X_85,top)))))]]) ).
cnf(refute_0_3260,plain,
( composition(join(X0,converse(X_85)),complement(composition(X_85,top))) != join(composition(X0,complement(composition(X_85,top))),zero)
| join(composition(X0,complement(composition(X_85,top))),zero) != composition(X0,complement(composition(X_85,top)))
| composition(join(X0,converse(X_85)),complement(composition(X_85,top))) = composition(X0,complement(composition(X_85,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,converse(X_85)),complement(composition(X_85,top))),composition(X0,complement(composition(X_85,top)))) ),[0],$fot(join(composition(X0,complement(composition(X_85,top))),zero))]]) ).
cnf(refute_0_3261,plain,
( composition(join(X0,converse(X_85)),complement(composition(X_85,top))) != join(composition(X0,complement(composition(X_85,top))),zero)
| composition(join(X0,converse(X_85)),complement(composition(X_85,top))) = composition(X0,complement(composition(X_85,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X0,complement(composition(X_85,top))),zero),composition(X0,complement(composition(X_85,top)))) )],[refute_0_3259,refute_0_3260]) ).
cnf(refute_0_3262,plain,
composition(join(X0,converse(X_85)),complement(composition(X_85,top))) = composition(X0,complement(composition(X_85,top))),
inference(resolve,[$cnf( $equal(composition(join(X0,converse(X_85)),complement(composition(X_85,top))),join(composition(X0,complement(composition(X_85,top))),zero)) )],[refute_0_3258,refute_0_3261]) ).
cnf(refute_0_3263,plain,
composition(join(X_342,converse(join(X_81,converse(X_342)))),complement(composition(join(X_81,converse(X_342)),top))) = composition(X_342,complement(composition(join(X_81,converse(X_342)),top))),
inference(subst,[],[refute_0_3262:[bind(X0,$fot(X_342)),bind(X_85,$fot(join(X_81,converse(X_342))))]]) ).
cnf(refute_0_3264,plain,
( composition(join(X_342,converse(join(X_81,converse(X_342)))),complement(composition(join(X_81,converse(X_342)),top))) != composition(X_342,complement(composition(join(X_81,converse(X_342)),top)))
| composition(join(X_342,converse(join(X_81,converse(X_342)))),complement(composition(join(X_81,converse(X_342)),top))) != zero
| composition(X_342,complement(composition(join(X_81,converse(X_342)),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_342,converse(join(X_81,converse(X_342)))),complement(composition(join(X_81,converse(X_342)),top))),zero) ),[0],$fot(composition(X_342,complement(composition(join(X_81,converse(X_342)),top))))]]) ).
cnf(refute_0_3265,plain,
( composition(join(X_342,converse(join(X_81,converse(X_342)))),complement(composition(join(X_81,converse(X_342)),top))) != zero
| composition(X_342,complement(composition(join(X_81,converse(X_342)),top))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(X_342,converse(join(X_81,converse(X_342)))),complement(composition(join(X_81,converse(X_342)),top))),composition(X_342,complement(composition(join(X_81,converse(X_342)),top)))) )],[refute_0_3263,refute_0_3264]) ).
cnf(refute_0_3266,plain,
composition(X_342,complement(composition(join(X_81,converse(X_342)),top))) = zero,
inference(resolve,[$cnf( $equal(composition(join(X_342,converse(join(X_81,converse(X_342)))),complement(composition(join(X_81,converse(X_342)),top))),zero) )],[refute_0_3254,refute_0_3265]) ).
cnf(refute_0_3267,plain,
composition(converse(X0),complement(composition(join(X_438,converse(converse(X0))),top))) = zero,
inference(subst,[],[refute_0_3266:[bind(X_342,$fot(converse(X0))),bind(X_81,$fot(X_438))]]) ).
cnf(refute_0_3268,plain,
( composition(converse(X0),complement(composition(join(X_438,converse(converse(X0))),top))) != zero
| converse(composition(converse(X0),complement(composition(join(X_438,converse(converse(X0))),top)))) != composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0)
| converse(zero) = composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),complement(composition(join(X_438,converse(converse(X0))),top)))),composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_3269,plain,
( converse(composition(converse(X0),complement(composition(join(X_438,converse(converse(X0))),top)))) != composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0)
| converse(zero) = composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0) ),
inference(resolve,[$cnf( $equal(composition(converse(X0),complement(composition(join(X_438,converse(converse(X0))),top))),zero) )],[refute_0_3267,refute_0_3268]) ).
cnf(refute_0_3270,plain,
converse(zero) = composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),complement(composition(join(X_438,converse(converse(X0))),top)))),composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0)) )],[refute_0_3243,refute_0_3269]) ).
cnf(refute_0_3271,plain,
( converse(zero) != composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0)
| converse(zero) != zero
| zero = composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0)) ),[0],$fot(zero)]]) ).
cnf(refute_0_3272,plain,
( converse(zero) != composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0)
| zero = composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_605,refute_0_3271]) ).
cnf(refute_0_3273,plain,
composition(top,converse(join(X_438,X0))) = converse(composition(join(X_438,X0),top)),
inference(subst,[],[refute_0_1837:[bind(X_4,$fot(join(X_438,X0)))]]) ).
cnf(refute_0_3274,plain,
join(converse(X_438),converse(X0)) = converse(join(X_438,X0)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_438)),bind(X1,$fot(X0))]]) ).
cnf(refute_0_3275,plain,
composition(top,join(converse(X_438),converse(X0))) = composition(top,join(converse(X_438),converse(X0))),
introduced(tautology,[refl,[$fot(composition(top,join(converse(X_438),converse(X0))))]]) ).
cnf(refute_0_3276,plain,
( composition(top,join(converse(X_438),converse(X0))) != composition(top,join(converse(X_438),converse(X0)))
| join(converse(X_438),converse(X0)) != converse(join(X_438,X0))
| composition(top,join(converse(X_438),converse(X0))) = composition(top,converse(join(X_438,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,join(converse(X_438),converse(X0))),composition(top,join(converse(X_438),converse(X0)))) ),[1,1],$fot(converse(join(X_438,X0)))]]) ).
cnf(refute_0_3277,plain,
( join(converse(X_438),converse(X0)) != converse(join(X_438,X0))
| composition(top,join(converse(X_438),converse(X0))) = composition(top,converse(join(X_438,X0))) ),
inference(resolve,[$cnf( $equal(composition(top,join(converse(X_438),converse(X0))),composition(top,join(converse(X_438),converse(X0)))) )],[refute_0_3275,refute_0_3276]) ).
cnf(refute_0_3278,plain,
composition(top,join(converse(X_438),converse(X0))) = composition(top,converse(join(X_438,X0))),
inference(resolve,[$cnf( $equal(join(converse(X_438),converse(X0)),converse(join(X_438,X0))) )],[refute_0_3274,refute_0_3277]) ).
cnf(refute_0_3279,plain,
( composition(top,converse(join(X_438,X0))) != converse(composition(join(X_438,X0),top))
| composition(top,join(converse(X_438),converse(X0))) != composition(top,converse(join(X_438,X0)))
| composition(top,join(converse(X_438),converse(X0))) = converse(composition(join(X_438,X0),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,join(converse(X_438),converse(X0))))),bind(Y,$fot(composition(top,converse(join(X_438,X0))))),bind(Z,$fot(converse(composition(join(X_438,X0),top))))]]) ).
cnf(refute_0_3280,plain,
( composition(top,converse(join(X_438,X0))) != converse(composition(join(X_438,X0),top))
| composition(top,join(converse(X_438),converse(X0))) = converse(composition(join(X_438,X0),top)) ),
inference(resolve,[$cnf( $equal(composition(top,join(converse(X_438),converse(X0))),composition(top,converse(join(X_438,X0)))) )],[refute_0_3278,refute_0_3279]) ).
cnf(refute_0_3281,plain,
composition(top,join(converse(X_438),converse(X0))) = converse(composition(join(X_438,X0),top)),
inference(resolve,[$cnf( $equal(composition(top,converse(join(X_438,X0))),converse(composition(join(X_438,X0),top))) )],[refute_0_3273,refute_0_3280]) ).
cnf(refute_0_3282,plain,
converse(composition(join(X_15,converse(X0)),top)) = composition(top,converse(join(X_15,converse(X0)))),
inference(subst,[],[refute_0_1256:[bind(X_4,$fot(join(X_15,converse(X0))))]]) ).
cnf(refute_0_3283,plain,
( converse(composition(join(X_15,converse(X0)),top)) != composition(top,converse(join(X_15,converse(X0))))
| converse(join(X_15,converse(X0))) != join(converse(X_15),X0)
| converse(composition(join(X_15,converse(X0)),top)) = composition(top,join(converse(X_15),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_15,converse(X0)),top)),composition(top,converse(join(X_15,converse(X0))))) ),[1,1],$fot(join(converse(X_15),X0))]]) ).
cnf(refute_0_3284,plain,
( converse(composition(join(X_15,converse(X0)),top)) != composition(top,converse(join(X_15,converse(X0))))
| converse(composition(join(X_15,converse(X0)),top)) = composition(top,join(converse(X_15),X0)) ),
inference(resolve,[$cnf( $equal(converse(join(X_15,converse(X0))),join(converse(X_15),X0)) )],[refute_0_432,refute_0_3283]) ).
cnf(refute_0_3285,plain,
converse(composition(join(X_15,converse(X0)),top)) = composition(top,join(converse(X_15),X0)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_15,converse(X0)),top)),composition(top,converse(join(X_15,converse(X0))))) )],[refute_0_3282,refute_0_3284]) ).
cnf(refute_0_3286,plain,
converse(composition(join(X_438,converse(converse(X0))),top)) = composition(top,join(converse(X_438),converse(X0))),
inference(subst,[],[refute_0_3285:[bind(X0,$fot(converse(X0))),bind(X_15,$fot(X_438))]]) ).
cnf(refute_0_3287,plain,
( composition(top,join(converse(X_438),converse(X0))) != converse(composition(join(X_438,X0),top))
| converse(composition(join(X_438,converse(converse(X0))),top)) != composition(top,join(converse(X_438),converse(X0)))
| converse(composition(join(X_438,converse(converse(X0))),top)) = converse(composition(join(X_438,X0),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(join(X_438,converse(converse(X0))),top)))),bind(Y,$fot(composition(top,join(converse(X_438),converse(X0))))),bind(Z,$fot(converse(composition(join(X_438,X0),top))))]]) ).
cnf(refute_0_3288,plain,
( composition(top,join(converse(X_438),converse(X0))) != converse(composition(join(X_438,X0),top))
| converse(composition(join(X_438,converse(converse(X0))),top)) = converse(composition(join(X_438,X0),top)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(X_438,converse(converse(X0))),top)),composition(top,join(converse(X_438),converse(X0)))) )],[refute_0_3286,refute_0_3287]) ).
cnf(refute_0_3289,plain,
converse(composition(join(X_438,converse(converse(X0))),top)) = converse(composition(join(X_438,X0),top)),
inference(resolve,[$cnf( $equal(composition(top,join(converse(X_438),converse(X0))),converse(composition(join(X_438,X0),top))) )],[refute_0_3281,refute_0_3288]) ).
cnf(refute_0_3290,plain,
complement(converse(composition(join(X_438,converse(converse(X0))),top))) = complement(converse(composition(join(X_438,converse(converse(X0))),top))),
introduced(tautology,[refl,[$fot(complement(converse(composition(join(X_438,converse(converse(X0))),top))))]]) ).
cnf(refute_0_3291,plain,
( complement(converse(composition(join(X_438,converse(converse(X0))),top))) != complement(converse(composition(join(X_438,converse(converse(X0))),top)))
| converse(composition(join(X_438,converse(converse(X0))),top)) != converse(composition(join(X_438,X0),top))
| complement(converse(composition(join(X_438,converse(converse(X0))),top))) = complement(converse(composition(join(X_438,X0),top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(join(X_438,converse(converse(X0))),top))),complement(converse(composition(join(X_438,converse(converse(X0))),top)))) ),[1,0],$fot(converse(composition(join(X_438,X0),top)))]]) ).
cnf(refute_0_3292,plain,
( converse(composition(join(X_438,converse(converse(X0))),top)) != converse(composition(join(X_438,X0),top))
| complement(converse(composition(join(X_438,converse(converse(X0))),top))) = complement(converse(composition(join(X_438,X0),top))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(join(X_438,converse(converse(X0))),top))),complement(converse(composition(join(X_438,converse(converse(X0))),top)))) )],[refute_0_3290,refute_0_3291]) ).
cnf(refute_0_3293,plain,
complement(converse(composition(join(X_438,converse(converse(X0))),top))) = complement(converse(composition(join(X_438,X0),top))),
inference(resolve,[$cnf( $equal(converse(composition(join(X_438,converse(converse(X0))),top)),converse(composition(join(X_438,X0),top))) )],[refute_0_3289,refute_0_3292]) ).
cnf(refute_0_3294,plain,
converse(complement(composition(join(X_438,converse(converse(X0))),top))) = complement(converse(composition(join(X_438,converse(converse(X0))),top))),
inference(subst,[],[refute_0_1407:[bind(X_204,$fot(composition(join(X_438,converse(converse(X0))),top)))]]) ).
cnf(refute_0_3295,plain,
( complement(converse(composition(join(X_438,converse(converse(X0))),top))) != complement(converse(composition(join(X_438,X0),top)))
| converse(complement(composition(join(X_438,converse(converse(X0))),top))) != complement(converse(composition(join(X_438,converse(converse(X0))),top)))
| converse(complement(composition(join(X_438,converse(converse(X0))),top))) = complement(converse(composition(join(X_438,X0),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(composition(join(X_438,converse(converse(X0))),top))))),bind(Y,$fot(complement(converse(composition(join(X_438,converse(converse(X0))),top))))),bind(Z,$fot(complement(converse(composition(join(X_438,X0),top)))))]]) ).
cnf(refute_0_3296,plain,
( complement(converse(composition(join(X_438,converse(converse(X0))),top))) != complement(converse(composition(join(X_438,X0),top)))
| converse(complement(composition(join(X_438,converse(converse(X0))),top))) = complement(converse(composition(join(X_438,X0),top))) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(join(X_438,converse(converse(X0))),top))),complement(converse(composition(join(X_438,converse(converse(X0))),top)))) )],[refute_0_3294,refute_0_3295]) ).
cnf(refute_0_3297,plain,
converse(complement(composition(join(X_438,converse(converse(X0))),top))) = complement(converse(composition(join(X_438,X0),top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(join(X_438,converse(converse(X0))),top))),complement(converse(composition(join(X_438,X0),top)))) )],[refute_0_3293,refute_0_3296]) ).
cnf(refute_0_3298,plain,
composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0) = composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0),
introduced(tautology,[refl,[$fot(composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0))]]) ).
cnf(refute_0_3299,plain,
( composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0) != composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0)
| converse(complement(composition(join(X_438,converse(converse(X0))),top))) != complement(converse(composition(join(X_438,X0),top)))
| composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0) = composition(complement(converse(composition(join(X_438,X0),top))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0),composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0)) ),[1,0],$fot(complement(converse(composition(join(X_438,X0),top))))]]) ).
cnf(refute_0_3300,plain,
( converse(complement(composition(join(X_438,converse(converse(X0))),top))) != complement(converse(composition(join(X_438,X0),top)))
| composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0) = composition(complement(converse(composition(join(X_438,X0),top))),X0) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0),composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0)) )],[refute_0_3298,refute_0_3299]) ).
cnf(refute_0_3301,plain,
composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0) = composition(complement(converse(composition(join(X_438,X0),top))),X0),
inference(resolve,[$cnf( $equal(converse(complement(composition(join(X_438,converse(converse(X0))),top))),complement(converse(composition(join(X_438,X0),top)))) )],[refute_0_3297,refute_0_3300]) ).
cnf(refute_0_3302,plain,
( composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0) != composition(complement(converse(composition(join(X_438,X0),top))),X0)
| zero != composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0)
| zero = composition(complement(converse(composition(join(X_438,X0),top))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0)) ),[1],$fot(composition(complement(converse(composition(join(X_438,X0),top))),X0))]]) ).
cnf(refute_0_3303,plain,
( zero != composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0)
| zero = composition(complement(converse(composition(join(X_438,X0),top))),X0) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0),composition(complement(converse(composition(join(X_438,X0),top))),X0)) )],[refute_0_3301,refute_0_3302]) ).
cnf(refute_0_3304,plain,
( converse(zero) != composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0)
| zero = composition(complement(converse(composition(join(X_438,X0),top))),X0) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0)) )],[refute_0_3272,refute_0_3303]) ).
cnf(refute_0_3305,plain,
zero = composition(complement(converse(composition(join(X_438,X0),top))),X0),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(composition(join(X_438,converse(converse(X0))),top))),X0)) )],[refute_0_3270,refute_0_3304]) ).
cnf(refute_0_3306,plain,
zero = composition(complement(converse(composition(join(X_1119,composition(X_482,top)),top))),composition(X_482,top)),
inference(subst,[],[refute_0_3305:[bind(X0,$fot(composition(X_482,top))),bind(X_438,$fot(X_1119))]]) ).
cnf(refute_0_3307,plain,
( zero != composition(complement(converse(composition(join(X_1119,composition(X_482,top)),top))),composition(X_482,top))
| composition(complement(converse(composition(join(X_1119,composition(X_482,top)),top))),composition(X_482,top)) = zero ),
inference(subst,[],[refute_0_6:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(converse(composition(join(X_1119,composition(X_482,top)),top))),composition(X_482,top))))]]) ).
cnf(refute_0_3308,plain,
composition(complement(converse(composition(join(X_1119,composition(X_482,top)),top))),composition(X_482,top)) = zero,
inference(resolve,[$cnf( $equal(zero,composition(complement(converse(composition(join(X_1119,composition(X_482,top)),top))),composition(X_482,top))) )],[refute_0_3306,refute_0_3307]) ).
cnf(refute_0_3309,plain,
( composition(complement(converse(composition(join(X_1119,composition(X_482,top)),top))),composition(X_482,top)) != zero
| join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,composition(complement(converse(composition(join(X_1119,composition(X_482,top)),top))),composition(X_482,top)))),top))) != complement(X_482)
| join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))) = complement(X_482) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,composition(complement(converse(composition(join(X_1119,composition(X_482,top)),top))),composition(X_482,top)))),top))),complement(X_482)) ),[0,1,1,0,0,1],$fot(zero)]]) ).
cnf(refute_0_3310,plain,
( join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,composition(complement(converse(composition(join(X_1119,composition(X_482,top)),top))),composition(X_482,top)))),top))) != complement(X_482)
| join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))) = complement(X_482) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(join(X_1119,composition(X_482,top)),top))),composition(X_482,top)),zero) )],[refute_0_3308,refute_0_3309]) ).
cnf(refute_0_3311,plain,
join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))) = complement(X_482),
inference(resolve,[$cnf( $equal(join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,composition(complement(converse(composition(join(X_1119,composition(X_482,top)),top))),composition(X_482,top)))),top))),complement(X_482)) )],[refute_0_3242,refute_0_3310]) ).
cnf(refute_0_3312,plain,
composition(top,zero) = zero,
inference(subst,[],[refute_0_2239:[bind(X0,$fot(top))]]) ).
cnf(refute_0_3313,plain,
complement(composition(top,zero)) = complement(composition(top,zero)),
introduced(tautology,[refl,[$fot(complement(composition(top,zero)))]]) ).
cnf(refute_0_3314,plain,
( complement(composition(top,zero)) != complement(composition(top,zero))
| composition(top,zero) != zero
| complement(composition(top,zero)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,zero)),complement(composition(top,zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3315,plain,
( composition(top,zero) != zero
| complement(composition(top,zero)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(composition(top,zero)),complement(composition(top,zero))) )],[refute_0_3313,refute_0_3314]) ).
cnf(refute_0_3316,plain,
complement(composition(top,zero)) = complement(zero),
inference(resolve,[$cnf( $equal(composition(top,zero),zero) )],[refute_0_3312,refute_0_3315]) ).
cnf(refute_0_3317,plain,
( complement(composition(top,zero)) != complement(zero)
| complement(zero) != top
| complement(composition(top,zero)) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(composition(top,zero)))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3318,plain,
( complement(zero) != top
| complement(composition(top,zero)) = top ),
inference(resolve,[$cnf( $equal(complement(composition(top,zero)),complement(zero)) )],[refute_0_3316,refute_0_3317]) ).
cnf(refute_0_3319,plain,
complement(composition(top,zero)) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_252,refute_0_3318]) ).
cnf(refute_0_3320,plain,
composition(complement(composition(top,zero)),top) = composition(complement(composition(top,zero)),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,zero)),top))]]) ).
cnf(refute_0_3321,plain,
( complement(composition(top,zero)) != top
| composition(complement(composition(top,zero)),top) != composition(complement(composition(top,zero)),top)
| composition(complement(composition(top,zero)),top) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,zero)),top),composition(complement(composition(top,zero)),top)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3322,plain,
( complement(composition(top,zero)) != top
| composition(complement(composition(top,zero)),top) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,zero)),top),composition(complement(composition(top,zero)),top)) )],[refute_0_3320,refute_0_3321]) ).
cnf(refute_0_3323,plain,
composition(complement(composition(top,zero)),top) = composition(top,top),
inference(resolve,[$cnf( $equal(complement(composition(top,zero)),top) )],[refute_0_3319,refute_0_3322]) ).
cnf(refute_0_3324,plain,
( composition(complement(composition(top,zero)),top) != composition(top,top)
| composition(top,top) != top
| composition(complement(composition(top,zero)),top) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(composition(top,zero)),top))),bind(Y,$fot(composition(top,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3325,plain,
( composition(top,top) != top
| composition(complement(composition(top,zero)),top) = top ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,zero)),top),composition(top,top)) )],[refute_0_3323,refute_0_3324]) ).
cnf(refute_0_3326,plain,
composition(complement(composition(top,zero)),top) = top,
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_3090,refute_0_3325]) ).
cnf(refute_0_3327,plain,
composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top)) = composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top)),
introduced(tautology,[refl,[$fot(composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top)))]]) ).
cnf(refute_0_3328,plain,
( composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top)) != composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top))
| composition(complement(composition(top,zero)),top) != top
| composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top)) = composition(complement(composition(join(X_482,X_1119),top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top)),composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3329,plain,
( composition(complement(composition(top,zero)),top) != top
| composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top)) = composition(complement(composition(join(X_482,X_1119),top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top)),composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top))) )],[refute_0_3327,refute_0_3328]) ).
cnf(refute_0_3330,plain,
composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top)) = composition(complement(composition(join(X_482,X_1119),top)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,zero)),top),top) )],[refute_0_3326,refute_0_3329]) ).
cnf(refute_0_3331,plain,
composition(join(composition(X_66,X_67),X1),X2) = join(composition(composition(X_66,X_67),X2),composition(X1,X2)),
inference(subst,[],[refute_0_1179:[bind(X0,$fot(composition(X_66,X_67)))]]) ).
cnf(refute_0_3332,plain,
composition(X_66,composition(X_67,X2)) = composition(composition(X_66,X_67),X2),
inference(subst,[],[refute_0_2172:[bind(X0,$fot(X_66)),bind(X1,$fot(X_67))]]) ).
cnf(refute_0_3333,plain,
( composition(X_66,composition(X_67,X2)) != composition(composition(X_66,X_67),X2)
| composition(composition(X_66,X_67),X2) = composition(X_66,composition(X_67,X2)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(X_66,composition(X_67,X2)))),bind(Y,$fot(composition(composition(X_66,X_67),X2)))]]) ).
cnf(refute_0_3334,plain,
composition(composition(X_66,X_67),X2) = composition(X_66,composition(X_67,X2)),
inference(resolve,[$cnf( $equal(composition(X_66,composition(X_67,X2)),composition(composition(X_66,X_67),X2)) )],[refute_0_3332,refute_0_3333]) ).
cnf(refute_0_3335,plain,
( composition(composition(X_66,X_67),X2) != composition(X_66,composition(X_67,X2))
| composition(join(composition(X_66,X_67),X1),X2) != join(composition(composition(X_66,X_67),X2),composition(X1,X2))
| composition(join(composition(X_66,X_67),X1),X2) = join(composition(X_66,composition(X_67,X2)),composition(X1,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(composition(X_66,X_67),X1),X2),join(composition(composition(X_66,X_67),X2),composition(X1,X2))) ),[1,0],$fot(composition(X_66,composition(X_67,X2)))]]) ).
cnf(refute_0_3336,plain,
( composition(join(composition(X_66,X_67),X1),X2) != join(composition(composition(X_66,X_67),X2),composition(X1,X2))
| composition(join(composition(X_66,X_67),X1),X2) = join(composition(X_66,composition(X_67,X2)),composition(X1,X2)) ),
inference(resolve,[$cnf( $equal(composition(composition(X_66,X_67),X2),composition(X_66,composition(X_67,X2))) )],[refute_0_3334,refute_0_3335]) ).
cnf(refute_0_3337,plain,
composition(join(composition(X_66,X_67),X1),X2) = join(composition(X_66,composition(X_67,X2)),composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(join(composition(X_66,X_67),X1),X2),join(composition(composition(X_66,X_67),X2),composition(X1,X2))) )],[refute_0_3331,refute_0_3336]) ).
cnf(refute_0_3338,plain,
composition(join(composition(X_271,top),X_269),top) = join(composition(X_271,composition(top,top)),composition(X_269,top)),
inference(subst,[],[refute_0_3337:[bind(X1,$fot(X_269)),bind(X2,$fot(top)),bind(X_66,$fot(X_271)),bind(X_67,$fot(top))]]) ).
cnf(refute_0_3339,plain,
( composition(join(composition(X_271,top),X_269),top) != join(composition(X_271,composition(top,top)),composition(X_269,top))
| composition(top,top) != top
| composition(join(composition(X_271,top),X_269),top) = join(composition(X_271,top),composition(X_269,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(composition(X_271,top),X_269),top),join(composition(X_271,composition(top,top)),composition(X_269,top))) ),[1,0,1],$fot(top)]]) ).
cnf(refute_0_3340,plain,
( composition(join(composition(X_271,top),X_269),top) != join(composition(X_271,composition(top,top)),composition(X_269,top))
| composition(join(composition(X_271,top),X_269),top) = join(composition(X_271,top),composition(X_269,top)) ),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_3090,refute_0_3339]) ).
cnf(refute_0_3341,plain,
composition(join(composition(X_271,top),X_269),top) = join(composition(X_271,top),composition(X_269,top)),
inference(resolve,[$cnf( $equal(composition(join(composition(X_271,top),X_269),top),join(composition(X_271,composition(top,top)),composition(X_269,top))) )],[refute_0_3338,refute_0_3340]) ).
cnf(refute_0_3342,plain,
( composition(join(X0,X1),X2) != join(composition(X0,X2),composition(X1,X2))
| join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(composition(join(X0,X1),X2))),bind(Y,$fot(join(composition(X0,X2),composition(X1,X2))))]]) ).
cnf(refute_0_3343,plain,
join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),X2),join(composition(X0,X2),composition(X1,X2))) )],[refute_0_1179,refute_0_3342]) ).
cnf(refute_0_3344,plain,
join(composition(X_271,top),composition(X_269,top)) = composition(join(X_271,X_269),top),
inference(subst,[],[refute_0_3343:[bind(X0,$fot(X_271)),bind(X1,$fot(X_269)),bind(X2,$fot(top))]]) ).
cnf(refute_0_3345,plain,
( composition(join(composition(X_271,top),X_269),top) != join(composition(X_271,top),composition(X_269,top))
| join(composition(X_271,top),composition(X_269,top)) != composition(join(X_271,X_269),top)
| composition(join(composition(X_271,top),X_269),top) = composition(join(X_271,X_269),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(composition(X_271,top),X_269),top),composition(join(X_271,X_269),top)) ),[0],$fot(join(composition(X_271,top),composition(X_269,top)))]]) ).
cnf(refute_0_3346,plain,
( composition(join(composition(X_271,top),X_269),top) != join(composition(X_271,top),composition(X_269,top))
| composition(join(composition(X_271,top),X_269),top) = composition(join(X_271,X_269),top) ),
inference(resolve,[$cnf( $equal(join(composition(X_271,top),composition(X_269,top)),composition(join(X_271,X_269),top)) )],[refute_0_3344,refute_0_3345]) ).
cnf(refute_0_3347,plain,
composition(join(composition(X_271,top),X_269),top) = composition(join(X_271,X_269),top),
inference(resolve,[$cnf( $equal(composition(join(composition(X_271,top),X_269),top),join(composition(X_271,top),composition(X_269,top))) )],[refute_0_3341,refute_0_3346]) ).
cnf(refute_0_3348,plain,
composition(join(composition(X_274,top),X_273),top) = composition(join(X_274,X_273),top),
inference(subst,[],[refute_0_3347:[bind(X_269,$fot(X_273)),bind(X_271,$fot(X_274))]]) ).
cnf(refute_0_3349,plain,
join(X_273,composition(X_274,top)) = join(composition(X_274,top),X_273),
inference(subst,[],[refute_0_13:[bind(X0,$fot(X_273)),bind(X1,$fot(composition(X_274,top)))]]) ).
cnf(refute_0_3350,plain,
( join(X_273,composition(X_274,top)) != join(composition(X_274,top),X_273)
| join(composition(X_274,top),X_273) = join(X_273,composition(X_274,top)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(X_273,composition(X_274,top)))),bind(Y,$fot(join(composition(X_274,top),X_273)))]]) ).
cnf(refute_0_3351,plain,
join(composition(X_274,top),X_273) = join(X_273,composition(X_274,top)),
inference(resolve,[$cnf( $equal(join(X_273,composition(X_274,top)),join(composition(X_274,top),X_273)) )],[refute_0_3349,refute_0_3350]) ).
cnf(refute_0_3352,plain,
( composition(join(composition(X_274,top),X_273),top) != composition(join(X_274,X_273),top)
| join(composition(X_274,top),X_273) != join(X_273,composition(X_274,top))
| composition(join(X_273,composition(X_274,top)),top) = composition(join(X_274,X_273),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(composition(X_274,top),X_273),top),composition(join(X_274,X_273),top)) ),[0,0],$fot(join(X_273,composition(X_274,top)))]]) ).
cnf(refute_0_3353,plain,
( composition(join(composition(X_274,top),X_273),top) != composition(join(X_274,X_273),top)
| composition(join(X_273,composition(X_274,top)),top) = composition(join(X_274,X_273),top) ),
inference(resolve,[$cnf( $equal(join(composition(X_274,top),X_273),join(X_273,composition(X_274,top))) )],[refute_0_3351,refute_0_3352]) ).
cnf(refute_0_3354,plain,
composition(join(X_273,composition(X_274,top)),top) = composition(join(X_274,X_273),top),
inference(resolve,[$cnf( $equal(composition(join(composition(X_274,top),X_273),top),composition(join(X_274,X_273),top)) )],[refute_0_3348,refute_0_3353]) ).
cnf(refute_0_3355,plain,
composition(join(X_1119,composition(X_482,top)),top) = composition(join(X_482,X_1119),top),
inference(subst,[],[refute_0_3354:[bind(X_273,$fot(X_1119)),bind(X_274,$fot(X_482))]]) ).
cnf(refute_0_3356,plain,
converse(converse(composition(join(X_1119,composition(X_482,top)),top))) = composition(join(X_1119,composition(X_482,top)),top),
inference(subst,[],[refute_0_46:[bind(X0,$fot(composition(join(X_1119,composition(X_482,top)),top)))]]) ).
cnf(refute_0_3357,plain,
( composition(join(X_1119,composition(X_482,top)),top) != composition(join(X_482,X_1119),top)
| converse(converse(composition(join(X_1119,composition(X_482,top)),top))) != composition(join(X_1119,composition(X_482,top)),top)
| converse(converse(composition(join(X_1119,composition(X_482,top)),top))) = composition(join(X_482,X_1119),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(converse(composition(join(X_1119,composition(X_482,top)),top))))),bind(Y,$fot(composition(join(X_1119,composition(X_482,top)),top))),bind(Z,$fot(composition(join(X_482,X_1119),top)))]]) ).
cnf(refute_0_3358,plain,
( composition(join(X_1119,composition(X_482,top)),top) != composition(join(X_482,X_1119),top)
| converse(converse(composition(join(X_1119,composition(X_482,top)),top))) = composition(join(X_482,X_1119),top) ),
inference(resolve,[$cnf( $equal(converse(converse(composition(join(X_1119,composition(X_482,top)),top))),composition(join(X_1119,composition(X_482,top)),top)) )],[refute_0_3356,refute_0_3357]) ).
cnf(refute_0_3359,plain,
converse(converse(composition(join(X_1119,composition(X_482,top)),top))) = composition(join(X_482,X_1119),top),
inference(resolve,[$cnf( $equal(composition(join(X_1119,composition(X_482,top)),top),composition(join(X_482,X_1119),top)) )],[refute_0_3355,refute_0_3358]) ).
cnf(refute_0_3360,plain,
complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top)))) = complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top)))))]]) ).
cnf(refute_0_3361,plain,
( complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top)))) != complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top))))
| converse(converse(composition(join(X_1119,composition(X_482,top)),top))) != composition(join(X_482,X_1119),top)
| complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top)))) = complement(composition(join(X_482,X_1119),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top)))),complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top))))) ),[1,0],$fot(composition(join(X_482,X_1119),top))]]) ).
cnf(refute_0_3362,plain,
( converse(converse(composition(join(X_1119,composition(X_482,top)),top))) != composition(join(X_482,X_1119),top)
| complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top)))) = complement(composition(join(X_482,X_1119),top)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top)))),complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top))))) )],[refute_0_3360,refute_0_3361]) ).
cnf(refute_0_3363,plain,
complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top)))) = complement(composition(join(X_482,X_1119),top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(join(X_1119,composition(X_482,top)),top))),composition(join(X_482,X_1119),top)) )],[refute_0_3359,refute_0_3362]) ).
cnf(refute_0_3364,plain,
converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))) = complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top)))),
inference(subst,[],[refute_0_1407:[bind(X_204,$fot(converse(composition(join(X_1119,composition(X_482,top)),top))))]]) ).
cnf(refute_0_3365,plain,
( complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top)))) != complement(composition(join(X_482,X_1119),top))
| converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))) != complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top))))
| converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))) = complement(composition(join(X_482,X_1119),top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))))),bind(Y,$fot(complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top)))))),bind(Z,$fot(complement(composition(join(X_482,X_1119),top))))]]) ).
cnf(refute_0_3366,plain,
( complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top)))) != complement(composition(join(X_482,X_1119),top))
| converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))) = complement(composition(join(X_482,X_1119),top)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top))))) )],[refute_0_3364,refute_0_3365]) ).
cnf(refute_0_3367,plain,
converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))) = complement(composition(join(X_482,X_1119),top)),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(join(X_1119,composition(X_482,top)),top)))),complement(composition(join(X_482,X_1119),top))) )],[refute_0_3363,refute_0_3366]) ).
cnf(refute_0_3368,plain,
composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)) = composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)),
introduced(tautology,[refl,[$fot(composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)))]]) ).
cnf(refute_0_3369,plain,
( composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)) != composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))
| converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))) != complement(composition(join(X_482,X_1119),top))
| composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)) = composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))) ),[1,0],$fot(complement(composition(join(X_482,X_1119),top)))]]) ).
cnf(refute_0_3370,plain,
( converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))) != complement(composition(join(X_482,X_1119),top))
| composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)) = composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))) )],[refute_0_3368,refute_0_3369]) ).
cnf(refute_0_3371,plain,
composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)) = composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top)),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),complement(composition(join(X_482,X_1119),top))) )],[refute_0_3367,refute_0_3370]) ).
cnf(refute_0_3372,plain,
( composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top)) != composition(complement(composition(join(X_482,X_1119),top)),top)
| composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)) != composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top))
| composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)) = composition(complement(composition(join(X_482,X_1119),top)),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)))),bind(Y,$fot(composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top)))),bind(Z,$fot(composition(complement(composition(join(X_482,X_1119),top)),top)))]]) ).
cnf(refute_0_3373,plain,
( composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top)) != composition(complement(composition(join(X_482,X_1119),top)),top)
| composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)) = composition(complement(composition(join(X_482,X_1119),top)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)),composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top))) )],[refute_0_3371,refute_0_3372]) ).
cnf(refute_0_3374,plain,
composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)) = composition(complement(composition(join(X_482,X_1119),top)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(join(X_482,X_1119),top)),composition(complement(composition(top,zero)),top)),composition(complement(composition(join(X_482,X_1119),top)),top)) )],[refute_0_3330,refute_0_3373]) ).
cnf(refute_0_3375,plain,
join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))) = join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))),
introduced(tautology,[refl,[$fot(join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))))]]) ).
cnf(refute_0_3376,plain,
( composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)) != composition(complement(composition(join(X_482,X_1119),top)),top)
| join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))) != join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)))
| join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))) = join(complement(X_482),composition(complement(composition(join(X_482,X_1119),top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))),join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)))) ),[1,1],$fot(composition(complement(composition(join(X_482,X_1119),top)),top))]]) ).
cnf(refute_0_3377,plain,
( composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)) != composition(complement(composition(join(X_482,X_1119),top)),top)
| join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))) = join(complement(X_482),composition(complement(composition(join(X_482,X_1119),top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))),join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)))) )],[refute_0_3375,refute_0_3376]) ).
cnf(refute_0_3378,plain,
join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))) = join(complement(X_482),composition(complement(composition(join(X_482,X_1119),top)),top)),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top)),composition(complement(composition(join(X_482,X_1119),top)),top)) )],[refute_0_3374,refute_0_3377]) ).
cnf(refute_0_3379,plain,
( join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))) != complement(X_482)
| join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))) != join(complement(X_482),composition(complement(composition(join(X_482,X_1119),top)),top))
| join(complement(X_482),composition(complement(composition(join(X_482,X_1119),top)),top)) = complement(X_482) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))),complement(X_482)) ),[0],$fot(join(complement(X_482),composition(complement(composition(join(X_482,X_1119),top)),top)))]]) ).
cnf(refute_0_3380,plain,
( join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))) != complement(X_482)
| join(complement(X_482),composition(complement(composition(join(X_482,X_1119),top)),top)) = complement(X_482) ),
inference(resolve,[$cnf( $equal(join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))),join(complement(X_482),composition(complement(composition(join(X_482,X_1119),top)),top))) )],[refute_0_3378,refute_0_3379]) ).
cnf(refute_0_3381,plain,
join(complement(X_482),composition(complement(composition(join(X_482,X_1119),top)),top)) = complement(X_482),
inference(resolve,[$cnf( $equal(join(complement(X_482),composition(converse(complement(converse(composition(join(X_1119,composition(X_482,top)),top)))),composition(complement(composition(top,zero)),top))),complement(X_482)) )],[refute_0_3311,refute_0_3380]) ).
cnf(refute_0_3382,plain,
join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)) = complement(X_297),
inference(subst,[],[refute_0_3381:[bind(X_1119,$fot(X_755)),bind(X_482,$fot(X_297))]]) ).
cnf(refute_0_3383,plain,
join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))) = join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))),
introduced(tautology,[refl,[$fot(join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))))]]) ).
cnf(refute_0_3384,plain,
( join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))) != join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)))
| join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)) != complement(X_297)
| join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))) = join(X_755,complement(X_297)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))),join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)))) ),[1,1],$fot(complement(X_297))]]) ).
cnf(refute_0_3385,plain,
( join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)) != complement(X_297)
| join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))) = join(X_755,complement(X_297)) ),
inference(resolve,[$cnf( $equal(join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))),join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)))) )],[refute_0_3383,refute_0_3384]) ).
cnf(refute_0_3386,plain,
join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))) = join(X_755,complement(X_297)),
inference(resolve,[$cnf( $equal(join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)),complement(X_297)) )],[refute_0_3382,refute_0_3385]) ).
cnf(refute_0_3387,plain,
( join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))) != join(X_755,complement(X_297))
| join(complement(X_297),X_755) != join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)))
| join(complement(X_297),X_755) = join(X_755,complement(X_297)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_297),X_755),join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)))) ),[1],$fot(join(X_755,complement(X_297)))]]) ).
cnf(refute_0_3388,plain,
( join(complement(X_297),X_755) != join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)))
| join(complement(X_297),X_755) = join(X_755,complement(X_297)) ),
inference(resolve,[$cnf( $equal(join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top))),join(X_755,complement(X_297))) )],[refute_0_3386,refute_0_3387]) ).
cnf(refute_0_3389,plain,
join(complement(X_297),X_755) = join(X_755,complement(X_297)),
inference(resolve,[$cnf( $equal(join(complement(X_297),X_755),join(X_755,join(complement(X_297),composition(complement(composition(join(X_297,X_755),top)),top)))) )],[refute_0_3007,refute_0_3388]) ).
cnf(refute_0_3390,plain,
( join(complement(X_297),X_755) != join(X_755,complement(X_297))
| join(X_755,complement(X_297)) = join(complement(X_297),X_755) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(join(complement(X_297),X_755))),bind(Y,$fot(join(X_755,complement(X_297))))]]) ).
cnf(refute_0_3391,plain,
join(X_755,complement(X_297)) = join(complement(X_297),X_755),
inference(resolve,[$cnf( $equal(join(complement(X_297),X_755),join(X_755,complement(X_297))) )],[refute_0_3389,refute_0_3390]) ).
cnf(refute_0_3392,plain,
join(composition(complement(composition(X_302,top)),top),complement(composition(X_302,top))) = join(complement(composition(X_302,top)),composition(complement(composition(X_302,top)),top)),
inference(subst,[],[refute_0_3391:[bind(X_297,$fot(composition(X_302,top))),bind(X_755,$fot(composition(complement(composition(X_302,top)),top)))]]) ).
cnf(refute_0_3393,plain,
( join(complement(composition(X_302,top)),composition(complement(composition(X_302,top)),top)) != complement(composition(X_302,top))
| join(composition(complement(composition(X_302,top)),top),complement(composition(X_302,top))) != join(complement(composition(X_302,top)),composition(complement(composition(X_302,top)),top))
| join(composition(complement(composition(X_302,top)),top),complement(composition(X_302,top))) = complement(composition(X_302,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(complement(composition(X_302,top)),top),complement(composition(X_302,top))))),bind(Y,$fot(join(complement(composition(X_302,top)),composition(complement(composition(X_302,top)),top)))),bind(Z,$fot(complement(composition(X_302,top))))]]) ).
cnf(refute_0_3394,plain,
( join(complement(composition(X_302,top)),composition(complement(composition(X_302,top)),top)) != complement(composition(X_302,top))
| join(composition(complement(composition(X_302,top)),top),complement(composition(X_302,top))) = complement(composition(X_302,top)) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(X_302,top)),top),complement(composition(X_302,top))),join(complement(composition(X_302,top)),composition(complement(composition(X_302,top)),top))) )],[refute_0_3392,refute_0_3393]) ).
cnf(refute_0_3395,plain,
join(composition(complement(composition(X_302,top)),top),complement(composition(X_302,top))) = complement(composition(X_302,top)),
inference(resolve,[$cnf( $equal(join(complement(composition(X_302,top)),composition(complement(composition(X_302,top)),top)),complement(composition(X_302,top))) )],[refute_0_2274,refute_0_3394]) ).
cnf(refute_0_3396,plain,
( join(composition(complement(composition(X_302,top)),top),complement(composition(X_302,top))) != complement(composition(X_302,top))
| join(composition(complement(composition(X_302,top)),top),complement(composition(X_302,top))) != composition(complement(composition(X_302,top)),top)
| complement(composition(X_302,top)) = composition(complement(composition(X_302,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(composition(X_302,top)),top),complement(composition(X_302,top))),composition(complement(composition(X_302,top)),top)) ),[0],$fot(complement(composition(X_302,top)))]]) ).
cnf(refute_0_3397,plain,
( join(composition(complement(composition(X_302,top)),top),complement(composition(X_302,top))) != composition(complement(composition(X_302,top)),top)
| complement(composition(X_302,top)) = composition(complement(composition(X_302,top)),top) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(X_302,top)),top),complement(composition(X_302,top))),complement(composition(X_302,top))) )],[refute_0_3395,refute_0_3396]) ).
cnf(refute_0_3398,plain,
complement(composition(X_302,top)) = composition(complement(composition(X_302,top)),top),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(X_302,top)),top),complement(composition(X_302,top))),composition(complement(composition(X_302,top)),top)) )],[refute_0_2146,refute_0_3397]) ).
cnf(refute_0_3399,plain,
( complement(composition(X_302,top)) != composition(complement(composition(X_302,top)),top)
| composition(complement(composition(X_302,top)),top) = complement(composition(X_302,top)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(complement(composition(X_302,top)))),bind(Y,$fot(composition(complement(composition(X_302,top)),top)))]]) ).
cnf(refute_0_3400,plain,
composition(complement(composition(X_302,top)),top) = complement(composition(X_302,top)),
inference(resolve,[$cnf( $equal(complement(composition(X_302,top)),composition(complement(composition(X_302,top)),top)) )],[refute_0_3398,refute_0_3399]) ).
cnf(refute_0_3401,plain,
composition(complement(composition(skolemFOFtoCNF_X0,top)),top) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_3400:[bind(X_302,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3402,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(complement(composition(skolemFOFtoCNF_X0,top)),top) != complement(composition(skolemFOFtoCNF_X0,top))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) ),[1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_3403,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != complement(composition(skolemFOFtoCNF_X0,top))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),top),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_3401,refute_0_3402]) ).
cnf(refute_0_3404,plain,
complement(composition(skolemFOFtoCNF_X0,top)) != complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) )],[refute_0_3403,refute_0_0]) ).
cnf(refute_0_3405,plain,
complement(composition(skolemFOFtoCNF_X0,top)) = complement(composition(skolemFOFtoCNF_X0,top)),
introduced(tautology,[refl,[$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_3406,plain,
$false,
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,top)),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_3405,refute_0_3404]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL050+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 08:02:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 179.71/179.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 179.71/179.94
% 179.71/179.94 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 180.14/180.37
%------------------------------------------------------------------------------